# Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice

Journal article

Clarke, Doug, Roche, Anne, Wilkie, Karina, Wright, Vince, Brown, Jill, Downton, Ann, Horne, Marjorie, Knight, Rose, McDonough, Andrea, Sexton, Matthew and Worrall, Chris. (2013). Demonstration lessons in mathematics education: Teachers' observation foci and intended changes in practice.

*Mathematics Education Research Journal.*25(2), pp. 207 - 230. https://doi.org/10.1007/s13394-012-0058-z

Authors | Clarke, Doug, Roche, Anne, Wilkie, Karina, Wright, Vince, Brown, Jill, Downton, Ann, Horne, Marjorie, Knight, Rose, McDonough, Andrea, Sexton, Matthew and Worrall, Chris |
---|---|

Abstract | As part of a teacher professional learning project in mathematics education, university mathematics educators taught demonstration lessons in project primary schools. These lessons were part of a “pre-brief, teaching, and debrief” process, in which up to eight teachers observed each lesson. Using brief questionnaires completed in advance of the lesson, during the lesson, following the debrief, and several weeks later, data were collected on teachers’ intended and actual observation foci and any anticipated changes in their beliefs and practices arising from the experience. There were several common themes in teachers’ intended observations, including a focus on questioning, catering for individual differences, and building student engagement. As evident in other research, teachers’ intended and actual observations gave greater attention to teacher actions and decision making than to student learning and thinking. In this paper, we situate demonstration lessons within teacher professional learning models, describe the features of our model, summarise teacher data, and discuss issues arising from our work. |

Keywords | teacher professional learning; demonstration lessons; observations; teacher change; pedagogical content knowledge; student learning |

Year | 2013 |

Journal | Mathematics Education Research Journal |

Journal citation | 25 (2), pp. 207 - 230 |

Publisher | Springer Netherlands |

ISSN | 1033-2170 |

Digital Object Identifier (DOI) | https://doi.org/10.1007/s13394-012-0058-z |

Scopus EID | 2-s2.0-84877010734 |

Page range | 207 - 230 |

Publisher's version | File Access Level Controlled |

Place of publication | Netherlands |

https://acuresearchbank.acu.edu.au/item/851z9/demonstration-lessons-in-mathematics-education-teachers-observation-foci-and-intended-changes-in-practice

## Restricted files

### Publisher's version

*(1 files)*

##### 105

total views##### 0

total downloads##### 0

views this month##### 0

downloads this month

*These values are for the period from 19th October 2020, when this repository was created.*

## Export as

## Related outputs

##### Yes, mathematicians do X so students should do X, but it’s not the X you think!

Stillman, Gloria, Brown, Jill and Czocher, Jennifer. (2020). Yes, mathematicians do X so students should do X, but it’s not the X you think!*ZDM.*52(6), pp. 1211-1222. https://doi.org/10.1007/s11858-020-01183-5

##### Aspirations for mathematics learning : The voice of primary mathematics middle leaders

Roche, Anne, Russo, James, Kalogeropoulos, Penelope and Vale, Colleen. (2020). Aspirations for mathematics learning : The voice of primary mathematics middle leaders.*Mathematics Education Research Journal.*pp. 1-25. https://doi.org/10.1007/s13394-020-00360-9

##### Investigating young students’ multiplicative thinking : The 12 little ducks problem

Cheeseman, Jill, Downton, Ann, Roche, Anne and Ferguson, Sarah. (2020). Investigating young students’ multiplicative thinking : The 12 little ducks problem.*The Journal of Mathematical Behavior.*60, p. 100817. https://doi.org/10.1016/j.jmathb.2020.100817

##### What did Jenny need to know to do what she did? Pedagogical content knowledge for mathematics in action

Wright, Vince. (2018). What did Jenny need to know to do what she did? Pedagogical content knowledge for mathematics in action.*Educational Practice and Theory.*40(1), pp. 81-107. https://doi.org/10.7459/ept/40.1.06

##### Using contextualized tasks to engage students in meaningful and worthwhile mathematics learning

Clarke, Doug and Roche, Anne. (2018). Using contextualized tasks to engage students in meaningful and worthwhile mathematics learning.*The Journal of Mathematical Behavior.*51, pp. 95 - 108. https://doi.org/10.1016/j.jmathb.2017.11.006

##### A modelling challenge: students modelling problems of their choice

Galbraith, Peter L., Stillman, Gloria and Brown, Jill. (2018). A modelling challenge: students modelling problems of their choice. In In S. Schukajlow and W. Blum (Ed.).*Evaluierte Lernumgebungen zum Modellieren [Evaluated Learning Environments for Modeling]*pp. 193 - 214 https://doi.org/10.1007/978-3-658-20325-2

##### Learning from lessons: Studying the structure and construction of mathematics teacher knowledge in Australia, China and Germany

Chan, Man Ching Esther, Clarke, David J., Clarke, Doug, Roche, Anne, Cao, Yiming and Peter-Koop, Andrea. (2018). Learning from lessons: Studying the structure and construction of mathematics teacher knowledge in Australia, China and Germany.*Mathematics Education Research Journal.*30(1), pp. 89 - 102. https://doi.org/10.1007/s13394-017-0214-6

##### Using mathematics to solve real world problems: the role of enablers

Geiger, Vince, Stillman, Gloria, Brown, Jill P., Galbraith, Peter and Niss, Mogens. (2018). Using mathematics to solve real world problems: the role of enablers.*Mathematics Education Research Journal.*30(1), pp. 7 - 19. https://doi.org/10.1007/s13394-017-0217-3

##### Verification and validation: what do we mean?

Czocher, Jennifer, Stillman, Gloria and Brown, Jill. (2018). Verification and validation: what do we mean? In J. Hunter, P. Perger and L. Darragh (Ed.). New Zealand: Mathematics Education Research Group of Australasia. pp. 250 - 257##### Investigating children's thinking about suspended balances

Cheeseman, Jill, McDonough, Andrea and Golemac, Dianne. (2017). Investigating children's thinking about suspended balances.*New Zealand Journal of Educational Studies.*52(1), pp. 143 - 158. https://doi.org/10.1007/s40841-016-0073-9

##### Context and understanding: the case of linear models

Brown, Jill. (2017). Context and understanding: the case of linear models. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.).*Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education*pp. 211 - 221 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1

##### International osteoporosis foundation and European calcified tissue society working group. Recommendations for the screening of adherence to oral bisphosphonates

Diez-Perez, Aldolfo, Naylor, K. E., Abrahamsen, Bo, Agnusdei, D., Brandi, Maria L., Cooper, Cyrus, Dennison, Elaine M., Eriksen, E. F., Gold, D. T., Guañabens, N., Hadji, P., Hiligsmann, Mickaël, Horne, R., Josse, R. G., Kanis, John, Obermayer-Pietsch, Barbara, Prieto-Alhambra, D., Reginster, Jean Y., Rizzoli, Rene, ... Eastell, Richard. (2017). International osteoporosis foundation and European calcified tissue society working group. Recommendations for the screening of adherence to oral bisphosphonates.*Osteoporosis International.*28(3), pp. 767 - 774. https://doi.org/10.1007/s00198-017-3906-6

##### The journey metaphor as a lens to interpret students' problem solving with rates and ratios

Wright, Vince. (2017). The journey metaphor as a lens to interpret students' problem solving with rates and ratios.*Curriculum and Teaching.*32(1), pp. 47 - 62. https://doi.org/10.7459/ct/32.1.04

##### Children's schemes for anticipating the validity of nets for solids

Wright, Vince and Smith, Ken. (2017). Children's schemes for anticipating the validity of nets for solids.*Mathematics Education Research Journal.*29(3), pp. 369 - 394. https://doi.org/10.1007/s13394-017-0219-1

##### Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'

Brown, Jill and Stillman, Gloria. (2017). Developing the roots of modelling conceptions: 'mathematical modelling is the life of the world'.*International Journal of Mathematical Education in Science and Technology.*48(3), pp. 353 - 373. https://doi.org/10.1080/0020739X.2016.1245875

##### Teachers' perspectives of changes in their practice during a technology in mathematics education research project

Brown, Jill. (2017). Teachers' perspectives of changes in their practice during a technology in mathematics education research project.*Teaching and Teacher Education.*64, pp. 52 - 65. https://doi.org/10.1016/j.tate.2017.01.022

##### The primacy of 'noticing': a key to successful modelling

Galbraith, Peter, Stillman, Gloria and Brown, Jill. (2017). The primacy of 'noticing': a key to successful modelling. In In G. A. Stillman, W. Blum and G. Kaiser (Ed.).*Mathematical Modelling and Applications: Crossing and Researching Boundaries in Mathematics Education*pp. 83 - 94 Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1

##### Understanding time: A research based framework

Thomas, Margaret, Clarke, Doug, McDonough, Andrea and Clarkson, Philip. (2016). Understanding time: A research based framework. In B. White, M. Chinnappan and S. Trenholm (Ed.).*39th Annual Conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 592 - 599

##### Time: Assessing understanding of core ideas

Thomas, Margaret, McDonough, Andrea Mary, Clarkson, Philip and Clarke, Douglas McLean. (2016). Time: Assessing understanding of core ideas. In B. White, M. Chinnappan and S. Trenholm (Ed.).*39th Annual Conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 600 - 607

##### Research into mathematical applications and modelling

Stillman, Gloria Ann, Brown, Jill Patricia, Galbraith, Peter and Ng, Kit Ee Dawn. (2016). Research into mathematical applications and modelling. In In K. Makar, S. Dole and J. Visnovska, M. Goos, A. Bennison & K. Fry (Ed.).*Research in mathematics education in Australasia 2012-2015*pp. 281 - 304 Springer Science and Business Media. https://doi.org/10.1007/978-981-10-1419-2_14

##### Developing students' functional thinking in algebra through different visualisations of a growing pattern's structure

Wilkie, Karina Joyce and Clarke, Douglas McLean. (2016). Developing students' functional thinking in algebra through different visualisations of a growing pattern's structure.*Mathematics Education Research Journal.*28(2), pp. 223 - 243. https://doi.org/10.1007/s13394-015-0146-y

##### Learning from lessons: Teachers' insights and intended actions arising from their learning about student thinking

Roche, Anne, Clarke, Douglas McLean, Clarke, David and Chan, Ching Esther. (2016). Learning from lessons: Teachers' insights and intended actions arising from their learning about student thinking. In B. White, M. Chinnappan and S. Trenholm (Ed.).*39th Annual Conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 560 - 567

##### Changes in teachers' knowledge and beliefs about mathematics and mathematics teaching: A case study

Lomas, Laurinda and Clarke, Douglas McLean. (2016). Changes in teachers' knowledge and beliefs about mathematics and mathematics teaching: A case study. In B. White, M. Chinnappan and S. Trenholm (Ed.).*39th Annual Conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 389 - 396

##### Using drawings and discussion to gain insights into young learners' understanding of mass

McDonough, Andrea and Cheeseman, Jill. (2015). Using drawings and discussion to gain insights into young learners' understanding of mass.*Asia-Pacific Journal of Research in Early Childhood Education.*9(3), pp. 85 - 98. https://doi.org/10.17206/apjrece.2015.9.3.85

##### Visualisation tactics for solving real world tasks

Brown, Jill. (2015). Visualisation tactics for solving real world tasks. In In G.A. Stillman, W. Blum and M.S. Biembengut (Ed.). pp. 431 - 442 Springer.##### Supporting teachers in structuring mathematics lessons involving challenging tasks

Sullivan, Peter, Askew, Mike, Cheeseman, Jill, Clarke, Doug, Mornane, Angela, Roche, Anne and Walker, Nadia. (2015). Supporting teachers in structuring mathematics lessons involving challenging tasks.*Journal of Mathematics Teacher Education (online version).*18, pp. 123 - 140. https://doi.org/10.1007/s10857-014-9279-2

##### Facilitating mathematisation in modelling by beginning modellers in secondary school

Stillman, Gloria, Brown, Jill and Geiger, Vince. (2015). Facilitating mathematisation in modelling by beginning modellers in secondary school. In In G. A. Stillman, W. Blum and M. S. Biembengut (Ed.).*Mathematical modelling in education research and practice: Cultural, social and cognitive influences*pp. 93 - 104 Springer. https://doi.org/10.1007/978-3-319-18272-8_7

##### Pedagogical-content-knowledge for teaching mathematics: A globalised phenomenon

Wright, Vince. (2015). Pedagogical-content-knowledge for teaching mathematics: A globalised phenomenon. In In J. Zajda (Ed.).*Globalisation, ideology and politics of education reforms*pp. 119 - 132 Springer.

##### Describing the nature and effect of teacher interactions with students during seat work on challenging tasks

Roche, Anne and Clarke, Douglas. (2015). Describing the nature and effect of teacher interactions with students during seat work on challenging tasks.*Annual Conference of the Mathematics Education Research Group of Australasia (MERGA).*Australia: Mathematics Education Research Group of Australasia. pp. 532 - 539

##### Role of self-talk in the classroom : Investigating the relationship of eight-to-nine-year-olds' self-regulatory self-talk strategies with their classroom self-regulatory behaviour and mathematical achievement

Lee, Scott and McDonough, Andrea. (2015). Role of self-talk in the classroom : Investigating the relationship of eight-to-nine-year-olds' self-regulatory self-talk strategies with their classroom self-regulatory behaviour and mathematical achievement.*Early Child Development and Care.*185(2), pp. 198 - 208. https://doi.org/10.1080/03004430.2014.915818

##### Links between multiplicative structures and the development of multiplicative thinking

Downton, Ann. (2015). Links between multiplicative structures and the development of multiplicative thinking.*Annual Conference of the International Group for the Psychology of Mathematics Education.*Australia: Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education. pp. 217 - 224

##### Complexities of digital technology use and the teaching and learning of function

Brown, Jill. (2015). Complexities of digital technology use and the teaching and learning of function.*Computers and Education.*87, pp. 112 - 122. https://doi.org/10.1016/j.compedu.2015.03.022

##### Mathematical applications and modelling in the teaching and learning of mathematics

Brown, Jill and Ikeda, Toshikazu. (2015). Mathematical applications and modelling in the teaching and learning of mathematics. In In S.J. Cho (Ed.).*Proceedings of the 12th International Congress on Mathematical Education: Intellectual and Attitudinal Challanges*pp. 469 - 474 Springer. https://doi.org/10.1007/978-3-319-12688-3

##### Pathways to professional growth : Investigating upper primary school teachers' perspectives on learning to teach algebra

Wilkie, Karina and Clarke, Doug. (2015). Pathways to professional growth : Investigating upper primary school teachers' perspectives on learning to teach algebra.*Australian Journal of Teacher Education (online version).*40(4), pp. 87 - 118. https://doi.org/10.14221/ajte.2015v40n4.6

##### Student strategies in enacting affordances

Brown, Jill P.. (2014). Student strategies in enacting affordances. In P Liljedahl, S Oesterle and C Nicol (Ed.).*Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education.*Canada: International Group for the Psychology of Mathematics Education. pp. 201 - 208

##### Investigating eight- to nine-year-olds' self-regulatory self-talk in the context of their classroom tasks

Lee, Scott, McDonough, Andrea and Bird, Joanne. (2014). Investigating eight- to nine-year-olds' self-regulatory self-talk in the context of their classroom tasks.*Early Child Development and Care.*184(11), pp. 1661 - 1676. https://doi.org/10.1080/03004430.2013.875539

##### Students' willingness to engage with mathematical challenges :Implications for classroom pedagogies

Sullivan, Peter, Clarke, Doug, Cheeseman, Jill, Mornane, Angela, Roche, Anne, Sawatzki, Carly and Walker, Nadia. (2014). Students' willingness to engage with mathematical challenges :Implications for classroom pedagogies. In J. Anderson, M. Cavanagh and A. Prescott (Ed.).*Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia).*Australia: Mathematics Education Research Group of Australasia. pp. 597 - 604

##### Young learners' understandings about mass measurement: Insights from an open-ended task

McDonough, Andrea and Cheeseman, Jill. (2014). Young learners' understandings about mass measurement: Insights from an open-ended task. In P. Liljedahl, S. Oesterle and C. Nicol (Ed.).*Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education.*Canada: International Group for the Psychology of Mathematics Education. pp. 193 - 200

##### Investigating young children's learning of mass measurement

Cheeseman, Jill, McDonough, Andrea and Ferguson, Sarah. (2014). Investigating young children's learning of mass measurement.*Mathematics Education Research Journal.*26(2), pp. 131 - 150. https://doi.org/10.1007/s13394-013-0082-7

##### Schools and Families in Partnership for Learning in Faith-Based Schools

Mitchell, Annie, Chapman, Judith, McNamara, Sue and Horne, Marjorie. (2014). Schools and Families in Partnership for Learning in Faith-Based Schools. In In J. D. Chapman, S. McNamara and M. J Reiss & Y. Waghid (Ed.).*International Handbook of Learning, Teaching and Leading in Faith-Based Schools*pp. 657 - 674 Springer. https://doi.org/10.1007/978-94-017-8972-1_38

##### School mathematics leaders' perceptions of successes and challenges of their leadership role within a Mathematics Improvement Project

Sexton, Matthew and Downton, Ann. (2014). School mathematics leaders' perceptions of successes and challenges of their leadership role within a Mathematics Improvement Project. In J Anderson, M. Cavanagh and A. Prescott (Ed.).*Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia).*Australia: Mathematics Education Research Group of Australasia. pp. 581 - 588

##### Teaching mathematics effectively

Faragher, Rhonda and Clarke, Doug. (2014). Teaching mathematics effectively. In In M. Gaffney and R. Faragher (Ed.).*Leading Improvements in Student Numeracy*ACER Press.

##### Primary teachers' written unit plans in mathematics and their perceptions of essential elements of these

Roche, Anne, Clarke, Doug M., Clarke, David J. and Sullivan, Peter. (2014). Primary teachers' written unit plans in mathematics and their perceptions of essential elements of these.*Mathematics Education Research Journal.*26(4), pp. 853 - 870. https://doi.org/10.1007/s13394-014-0130-y

##### The numeracy challenge: Student achievement, teacher quality, school leadership and system policy

Gaffney, Michael, Clarke, Doug and Faragher, Rhonda. (2014). The numeracy challenge: Student achievement, teacher quality, school leadership and system policy. In In M. Gaffney and R. Faragher (Ed.).*Leading Improvements in Student Numeracy*ACER Press.

##### PPELEM: A "creative" interviewing procedure for gaining insights into teacher and student mathematics-related beliefs

McDonough, Andrea and Ferguson, Sarah. (2014). PPELEM: A "creative" interviewing procedure for gaining insights into teacher and student mathematics-related beliefs. In J Anderson, M Cavanagh and A Prescott (Ed.).*Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research Group of Australasia).*Australia: Mathematics Education Research Group of Australasia. pp. 445 - 452

##### Affordances: Ten Years On

Brown, Jill and Stillman, Gloria. (2014). Affordances: Ten Years On. In J Anderson, M Cavanagh and A Prescott (Ed.).##### Seeking insights into young children's beliefs about mathematics and learning

McDonough, Andrea and Sullivan, Peter. (2014). Seeking insights into young children's beliefs about mathematics and learning.*Educational Studies in Mathematics: An international journal.*87(3), pp. 279 - 296. https://doi.org/10.1007/s10649-014-9565-z

##### Teaching strategies for building student persistence on challenging tasks : Insights emerging from two approaches to teacher professional learning

Clarke, Doug, Cheeseman, Jill, Roche, Anne and van der Schans, Stephanie. (2014). Teaching strategies for building student persistence on challenging tasks : Insights emerging from two approaches to teacher professional learning.*Mathematics Teacher Education and Development Journal.*16(2), pp. 46 - 70.

##### Developing student's functional thinking in algebra through different visualisations of a growing pattern's structure

Wilkie, Karina J. and Clarke, Doug. (2014). Developing student's functional thinking in algebra through different visualisations of a growing pattern's structure. In J Anderson, M Cavanagh and A Prescott (Ed.).##### Evidence of implemented anticipation in mathematising by beginning modellers

Stillman, Gloria and Brown, Jill. (2014). Evidence of implemented anticipation in mathematising by beginning modellers.*Mathematics Education Research Journal.*26(4), pp. 763 - 789. https://doi.org/10.1007/s13394-014-0119-6

##### Upper primary school teachers' mathematical knowledge for teaching functional thinking in algebra

Wilkie, Karina Joyce. (2014). Upper primary school teachers' mathematical knowledge for teaching functional thinking in algebra.*Journal of Mathematics Teacher Education.*17(5), pp. 397 - 428. https://doi.org/10.1007/s10857-013-9251-6

##### Will this net work? :Development of a diagnostic interview

Knight, Rose and Wright, Vince. (2014). Will this net work? :Development of a diagnostic interview. In J Anderson, M Cavanagh and A Prescott (Ed.).##### Concerned about their learning : Mathematics students with chronic illness and their teachers at school

Wilkie, Karina. (2014). Concerned about their learning : Mathematics students with chronic illness and their teachers at school.*International Journal of Inclusive Education.*18(2), pp. 155 - 176. https://doi.org/10.1080/13603116.2012.760659

##### Technology in a mathematics measurement lesson about capacity: It's not just about engagement

Scott, Anne, Gronn, Donna and Downton, Ann. (2013). Technology in a mathematics measurement lesson about capacity: It's not just about engagement.*Learning and Teaching.*6(1), pp. 29 - 50. https://doi.org/10.7459/lt/6.1.04

##### Teachers' views of the challenging elements of a task

Cheeseman, Jill, Clarke, Doug, Roche, Anne and Wilson, Karen. (2013). Teachers' views of the challenging elements of a task. In V Steinle, L Ball and C Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Australia: Mathematics Education Research Group of Australasia. pp. 154 - 161

##### Teachers' decisions about mathematics tasks when planning

Sullivan, Peter, Clarke, David, Clarke, Doug and Roche, Anne. (2013). Teachers' decisions about mathematics tasks when planning. In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow.*Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 626 - 633

##### Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation

Stillman, Gloria, Kaiser, Gabriele, Blum, Werner and Brown, Jill P.. (2013). Mathematical modelling: Connecting to teaching and research practices - the impact of globalisation. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 1 - 24 Springer. https://doi.org/10.1007/978-94-007-6540-5_1

##### Teachers and observers learning from demonstration lessons in mathematics education

Clarke, Doug, Roche, Anne and Knight, Rose. (2013). Teachers and observers learning from demonstration lessons in mathematics education. In A. M. Lindmeier and A. Heinze (Ed.).*Mathematics learning across the life span.*Germany: International Group for the Psychology of Mathematics Education. pp. 44 - 44

##### Pre-service teachers' concept image for circle and ellipse

Wright, Vince. (2013). Pre-service teachers' concept image for circle and ellipse. In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Australia: Mathematics Education Research Group of Australasia. pp. 682 - 689

##### Career change teachers: Pragmatic choice or a vocation postponed?

Mattarozzi Laming, Madeleine Hazel and Horne, Marj. (2013). Career change teachers: Pragmatic choice or a vocation postponed?*Teachers and Teaching: Theory and Practice.*19(3), pp. 326 - 343. https://doi.org/10.1080/13540602.2012.754163

##### Tasks within tasks: The experience of a low-attaining mathematics student

Ferguson, Sarah, Clarke, Doug M. and McDonough, Andrea. (2013). Tasks within tasks: The experience of a low-attaining mathematics student. In J. Novotna and H. Moraova (Ed.).*SEMT13 - Tasks and Tools in Elementary Mathematics.*Czech Republic: Charles University. pp. 91 - 98

##### Making connections between multiplication and division

Downton, Ann. (2013). Making connections between multiplication and division. In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow.*Australia: AAMT and MERGA. pp. 242 - 249

##### Upper primary school teachers' mathematical knowledge for teaching functional thinking in algebra

Wilkie, Karina Joyce. (2013). Upper primary school teachers' mathematical knowledge for teaching functional thinking in algebra.*Journal of Mathematics Teacher Education.*17(5), pp. 397 - 428. https://doi.org/10.1007/s10857-013-9251-6

##### Challenges in modelling challenges: Intents and purposes

Stillman, Gloria, Brown, Jill P. and Galbraith, Peter. (2013). Challenges in modelling challenges: Intents and purposes. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 217 - 227 Springer. https://doi.org/10.1007/978-94-007-6540-5_19

##### Do you see what I see?

Knight, Rose and Downton, Ann. (2013). Do you see what I see? In S. Herbert, J. Tillyer and T. Spencer (Ed.).*Mathematics: Launching Futures - Proceedings of the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc..*Australia: Australian Association of Mathematics Teachers. pp. 116 - 123

##### Testing young children's ideas of mass measurement

Cheeseman, Jill and McDonough, Andrea. (2013). Testing young children's ideas of mass measurement.*International Journal for Mathematics Teaching and Learning.*

##### Fostering the transition from additive to multiplicative thinking

Downton, Ann and Sullivan, Peter. (2013). Fostering the transition from additive to multiplicative thinking. In A M Lindmeier and A Heinze (Ed.).*Proceedings of the 37th Conference of the International Group for the psychology of mathematics education - Mathematics learning across the life span.*Germany: International Group for the Psychology of Mathematics. pp. 241 - 248

##### The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms

Stillman, Gloria, Brown, Jill P., Faragher, Rhonda Muriel, Geiger, Vince and Galbraith, Peter. (2013). The role of textbooks in developing a socio-critical perspective on mathematical modelling in secondary classrooms. In In GA Stillman, G Kaiser and W Blum & JP Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 361 - 373 Springer. https://doi.org/10.1007/978-94-007-6540-5_30

##### Teaching with tasks for effective mathematics learning

Sullivan, Peter, Clarke, Doug and Clarke, Barbara. (2013).*Teaching with tasks for effective mathematics learning*Springer Science and Business Media. https://doi.org/10.1007/978-1-4614-4681-1

##### Inducting year 6 students into a culture of mathematising as a practice

Brown, Jill P.. (2013). Inducting year 6 students into a culture of mathematising as a practice. In In G. A. Stillman, G. Kaiser and W. Blum & J. P. Brown (Ed.).*Teaching mathematical modelling: connecting to research and practice*pp. 295 - 306 Springer. https://doi.org/10.1007/978-94-007-6540-5_24

##### Step it up: Using the measurement curriculum in the early years to create challenge

Cheeseman, Jill and McDonough, Andrea. (2013). Step it up: Using the measurement curriculum in the early years to create challenge. In A. McDonough, A. Downton and L. A. Bragg (Ed.).*Mathematics of Planet Earth: The MAV 50th Annual Conference.*Australia: Mathematical Association of Victoria.. pp. 31 - 43

##### Using photographs and diagrams to test young children's mass thinking

Cheeseman, Jill and McDonough, Andrea. (2013). Using photographs and diagrams to test young children's mass thinking. In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 146 - 153

##### Measuring inviting school climate: A case study of a public primary school in an urban low socioeconomic setting in Kenya

Okaya, Tom Mboya, Horne, Marj, Laming, Madeleine and Smith, Kenneth H.. (2013). Measuring inviting school climate: A case study of a public primary school in an urban low socioeconomic setting in Kenya.*Journal of Invitational Theory and Practice.*19, pp. 15 - 29.

##### Teaching roles in technology-rich teaching and learning environments (TRTLE's)

Brown, Jill. (2013). Teaching roles in technology-rich teaching and learning environments (TRTLE's). In V. Steinle, L. Ball and C. Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Australia: Mathematics Education Research Group of Australasia. pp. 106 - 113

##### Young children's emerging understandings of the measurement of mass

McDonough, Andrea, Cheeseman, Jill and Ferguson, Sarah. (2013). Young children's emerging understandings of the measurement of mass.*Australasian Journal of Early Childhood.*38(4), pp. 13 - 20.

##### Primary teachers' representations of division: Assessing mathematical knowledge that has pedagogical potential

Roche, Anne and Clarke, Douglas M.. (2013). Primary teachers' representations of division: Assessing mathematical knowledge that has pedagogical potential.*Mathematics Education Research Journal.*25(2), pp. 257 - 278. https://doi.org/10.1007/s13394-012-0060-5

##### Reasoning in the Australian Curriculum: Understanding its meaning and using the relevant language

Clarke, Douglas, Clarke, David and Sullivan, Peter. (2012). Reasoning in the Australian Curriculum: Understanding its meaning and using the relevant language.*Australian Primary Mathematics Classroom.*17(3), pp. 28 - 32.

##### Choosing tasks to match the content you are wanting to teach

Sullivan, Peter, Clarke, David and Clarke, Douglas. (2012). Choosing tasks to match the content you are wanting to teach.*Australian Primary Mathematics Classroom.*17(3), pp. 24 - 27.

##### Absence makes the heart grow fonder': Students with chronic illness seeking academic continuity through interaction with their teachers at school

Wilkie, Karina. (2012). Absence makes the heart grow fonder': Students with chronic illness seeking academic continuity through interaction with their teachers at school.*The Australasian Journal of Special Education.*36(1), pp. 1 - 20. https://doi.org/10.1017/jse.2012.4

##### Insights into children's understandings of mass measurement

McDonough, Andrea Mary, Cheeseman, Jill and Ferguson, Sarah. (2012). Insights into children's understandings of mass measurement. In T Y Tso (Ed.).*Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education.*Taiwan: International Group for the Psychology of Mathemati.... pp. 201 - 208

##### Empirical evidence for Niss' implemented anticipation in mathematising realistic situations

Stillman, Gloria and Brown, Jill P.. (2012). Empirical evidence for Niss' implemented anticipation in mathematising realistic situations. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.).*Mathematics education: Expanding horizons.*Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 682 - 689

##### Editorial: To engage or not to engage

Stillman, Gloria and Brown, Jill. (2012). Editorial: To engage or not to engage.*Australian Senior Mathematics Journal.*26(1), pp. 1 - 5.

##### Important ideas in mathematics : What are they and where do you get them?

Clarke, Doug M., Clarke, David J. and Sullivan, Peter. (2012). Important ideas in mathematics : What are they and where do you get them?*Australian Primary Mathematics Classroom.*17(3), pp. 13-18.

##### Editorial: Envisioning the future of the mathematical sciences and mathematics teaching

Brown, Jill and Stillman, Gloria. (2012). Editorial: Envisioning the future of the mathematical sciences and mathematics teaching.*Australian Senior Mathematics Journal.*26(2), pp. 4 - 5.

##### Powerful pedagogical actions in mathematics education

Gervasoni, Ann, Hunter, Roberta, Bicknell, Brenda and Sexton, Matthew. (2012). Powerful pedagogical actions in mathematics education. In In B Perry, T Lowrie and T Logan, A MacDonald & J Greenlees (Ed.). pp. 193 - 218 Sense Publishers.##### The effects of creating rich learning environments for children to measure mass

Cheeseman, Jill, McDonough, Andrea and Ferguson, Sarah. (2012). The effects of creating rich learning environments for children to measure mass. In J Dindyal, L P Cheng and S F Ng (Ed.).*Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 178 - 185

##### Supporting teachers in choosing and using challenging mathematics tasks

Sullivan, Peter, Clarke, Doug M., Michels, Deborah, Mornane, Angela and Roche, Anne. (2012). Supporting teachers in choosing and using challenging mathematics tasks. In J. Dindyal, L. P. Cheng and S. F. Ng (Ed.).*Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia.*Australia: Mathematics Education Research Group of Australasia. pp. 688 - 695

##### Students' proportional reasoning in mathematics and science

Dole, Shelley, Clarke, Doug, Wright, Tony and Hilton, Geoff. (2012). Students' proportional reasoning in mathematics and science. In T. Y. Tso (Ed.).*Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education.*Taiwan: International Group for the Psychology of Mathemati.... pp. 195 - 202

##### Professional learning and action research: Early career teachers reflect on their practice

Scott, Anne, Clarkson, Philip and McDonough, Andrea. (2012). Professional learning and action research: Early career teachers reflect on their practice.*Mathematics Education Research Journal.*24(2), pp. 129 - 151. https://doi.org/10.1007/s13394-012-0035-6

##### Mathematical Modelling Challenge

Brown, Jill and Stillman, Gloria. (2011). Mathematical Modelling Challenge.*Vinculum.*26(4), pp. 16 - 19.

##### Mathematical Modelling Challenge

Brown, Jill and Stillman, Gloria. (2011). Mathematical Modelling Challenge.*Prime Number.*26(4), pp. 15 - 16.

##### Modelling tasks: insight into mathematical understanding

Brown, Jill P. and Edwards, Ian. (2011). Modelling tasks: insight into mathematical understanding. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 187 - 197 Springer. https://doi.org/10.1007/978-94-007-0910-2_20##### Fostering professional learning communities beyond school boundaries

Scott, Anne, Clarkson, P. and McDonough, A. M.. (2011). Fostering professional learning communities beyond school boundaries.*Australian Journal of Teacher Education.*35(6), pp. 1 - 17. https://doi.org/10.14221/ajte.2011v36n6.2

##### Measurement matters: Fraction number lines and length concepts are related

Mitchell, Annie and Horne, Marj. (2011). Measurement matters: Fraction number lines and length concepts are related. In In J. Way and J. Bobis (Ed.). pp. 52 - 62 Australian Association of Mathematics Teachers.##### Mathematical Modelling and Applications

Stillman, Gloria and Brown, Jill. (2011). Mathematical Modelling and Applications.*Vinculum.*48(2), pp. 20 - 20.

##### Building preservice teacher capacity for effective mathematics teaching through partnerships with teacher educators and primary school communities

McDonough, Andrea and Sexton, Matthew. (2011). Building preservice teacher capacity for effective mathematics teaching through partnerships with teacher educators and primary school communities. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 508 - 514

##### Listening to children's explanations of fraction pair tasks: When more than an answer and an initial explanation are needed

Mitchell, Annie and Horne, Marj. (2011). Listening to children's explanations of fraction pair tasks: When more than an answer and an initial explanation are needed. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 515 - 522

##### 'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary

Stillman, Gloria and Brown, Jill. (2011). 'Get down and get dirty in the mathematics': Technology and mathematical modelling in senior secondary. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 711 - 718

##### The one-minute challenge

Clarke, Doug, Downton, A. and Roche, A.. (2011). The one-minute challenge.*Teaching Children Mathematics (print version).*17(6), pp. 342 - 349.

##### One-to-one student interviews provide powerful insights and clear focus for the teaching of fractions in the middle years

Clarke, Doug, Roche, Anne and Mitchell, Annie. (2011). One-to-one student interviews provide powerful insights and clear focus for the teaching of fractions in the middle years. In In Way, Jenni and Bobis, Janette (Ed.).*Fractions : Teaching for understanding*pp. 23-32 Australian Association of Mathematics Teachers.

##### Percentages as a co-ordination class

Wright, Vince. (2011). Percentages as a co-ordination class. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Adelaide, Australia: AAMT and MERGA. pp. 1081 - 1088

##### Some lessons learned from the experience of assessing teacher pedagogical content knowledge in mathematics

Roche, Anne and Clarke, Doug. (2011). Some lessons learned from the experience of assessing teacher pedagogical content knowledge in mathematics. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 658 - 666

##### Concerned about their learning: What matters to mathematics students seeking to study despite absence from school owing to chronic illness

Wilkie, Karina. (2011). Concerned about their learning: What matters to mathematics students seeking to study despite absence from school owing to chronic illness. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 786 - 794

##### Learning to measure length in the first three years of school

McDonough, Andrea Mary and Sullivan, Peter. (2011). Learning to measure length in the first three years of school.*Australasian Journal of Early Childhood.*36(3), pp. 27 - 35.

##### Editorial: To err is human

Brown, Jill and Stillman, Gloria. (2011). Editorial: To err is human.*Australian Senior Mathematics Journal.*25(2), pp. 4 - 5.

##### Building teachers' expertise in understanding, assessing and developing children's mathematical thinking :The power of task-based, one-to-one assessment interviews

Clarke, Doug M., Clarke, Barbara and Roche, Anne. (2011). Building teachers' expertise in understanding, assessing and developing children's mathematical thinking :The power of task-based, one-to-one assessment interviews.*ZDM: The International Journal on Mathematics Education (print version).*43(6-7), pp. 901 - 913. https://doi.org/10.1007/s11858-011-0345-2

##### Investigating children's understanding of the measurement of mass

Cheeseman, Jill, McDonough, Andrea and Clarke, Doug. (2011). Investigating children's understanding of the measurement of mass. In J. Clark, B. Kissane and J. Mousley (Ed.).*Mathematics: Traditions and [new] practices: Proceedings of the 2011 AAMT-MERGA conference.*Australia: AAMT and MERGA. pp. 174 - 182

##### Editorial: Historical sources and historical development of statistical ideas

Brown, Jill and Stillman, Gloria. (2011). Editorial: Historical sources and historical development of statistical ideas.*Australian Senior Mathematics Journal.*25(1), pp. 4 - 6.

##### Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10

Stillman, Gloria and Brown, Jill P.. (2011). Pre-service secondary mathematics teachers' affinity with using modelling tasks in teaching years 8-10. In In G. Kaiser, W. Blum and R. Borromeo Ferri & G.Stillman (Ed.). pp. 289 - 298 Springer. https://doi.org/10.1007/978-94-007-0910-2_29##### Linking multiplication and division in helpful ways for children

Downton, Ann. (2011). Linking multiplication and division in helpful ways for children.*Prime Number.*26(4), pp. 3 - 6.

##### The impact of two teachers' use of specific scaffolding practices on low-attaining upper primary students

Ferguson, Sarah and McDonough, Andrea. (2010). The impact of two teachers' use of specific scaffolding practices on low-attaining upper primary students. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 177 - 184

##### Turning ideas into modeling problems

Galbraith, Peter L., Stillman, Gloria and Brown, Jill P.. (2010). Turning ideas into modeling problems. In pp. 133 - 144 Springer. https://doi.org/10.1007/978-1-4419-0561-1_11##### School ties: Keeping students with chronic illness connected to their school learning communities

Wilkie, Karina and Jones, Anthony. (2010). School ties: Keeping students with chronic illness connected to their school learning communities.*International Federation for Information Processing (IFIP) Conference.*Semmering,Austria: International Federation for Information Processing. pp. 1 - 13

##### Challenging multiplicative problems can elicit sophisticated strategies

Downton, Ann. (2010). Challenging multiplicative problems can elicit sophisticated strategies. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 169 - 176

##### Using concept cartoons to access student beliefs about preferred approaches to mathematics learning and teaching

Sexton, Matthew. (2010). Using concept cartoons to access student beliefs about preferred approaches to mathematics learning and teaching. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 515 - 522

##### Teachers' extent of the use of particular task types in mathematics and choices behind that use

Clarke, Doug M. and Roche, Anne. (2010). Teachers' extent of the use of particular task types in mathematics and choices behind that use. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 153 - 160

##### Identifying challenges within transition phases of mathematical modeling activities at Year 9

Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2010). Identifying challenges within transition phases of mathematical modeling activities at Year 9. In In R. Lesh, P. L. Galbraith and C. R. Haines & A. Hurford (Ed.).*Modeling students' mathematical modeling competencies: ICTMA13*pp. 385 - 398 Springer.

##### A teacher's perspective of interacting with long-term absent students through digital communications technologies

Jones, Anthony and Wilkie, Karina. (2010). A teacher's perspective of interacting with long-term absent students through digital communications technologies. In*Key Competencies in the Knowledge Society: IFIP TC3 International Conference KCKS 2010*pp. 187 - 192 Springer-Verlag.

##### Gap thinking in fraction pair comparisons is not whole number thinking :is this what early equivalence thinking sounds like?

Mitchell, Annie and Horne, Marj. (2010). Gap thinking in fraction pair comparisons is not whole number thinking :is this what early equivalence thinking sounds like? In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 414 - 421

##### Students' opinions about characteristics of their desired mathematics lessons

Sullivan, Peter, Clarke, Doug and O'Shea, Helen. (2010). Students' opinions about characteristics of their desired mathematics lessons. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 531 - 538

##### 'Count me in' :Students with chronic illness continue mathematics study through connection with their teachers during absence

Wilkie, Karina. (2010). 'Count me in' :Students with chronic illness continue mathematics study through connection with their teachers during absence.*AARE Conference 2010.*AERA: Australia. pp. 1 - 17

##### The power of a single game to address a range of important ideas in fraction learning

Clarke, Doug and Roche, Anne. (2010). The power of a single game to address a range of important ideas in fraction learning.*Australian Primary Mathematics Classroom.*15(3), pp. 18 - 24.

##### Teacher change in response to a professional learning project

McDonough, Andrea, Clarkson, Philip and Scott, Anne. (2010). Teacher change in response to a professional learning project. In L. Sparrow, B. Kissane and C. Hurst (Ed.).*33rd Annual Conference of the Mathematics Education Research Group of Australasia.*John Curtin College of the Arts, Fremantle, Western Australia, Australia 03 - 07 Jul 2010 Australia: Mathematics Education Research Group of Australasia. pp. 391 - 398

##### Foundational ideas of measure :exploring length understandings

McDonough, Andrea. (2010). Foundational ideas of measure :exploring length understandings. In M. M. F. Pinto and T. F. Kawasaki (Ed.).*Proceedings of the 34th conference of the International Group for the Psychology of Mathematics Education.*Brazil: International Group for the Psychology of Mathemati.... pp. 289 - 296

##### Beginning the development of SAPP :self-analysis professional portfolio

Scott, Anne, Clarkson, Philip and McDonough, Andrea. (2010). Beginning the development of SAPP :self-analysis professional portfolio.*Proceedings of the 2010 annual conference of the American Education Research Association.*USA: American Educational Research Association. pp. 1 - 5

##### Creative connections to school: Teachers support the learning of students with chronic illness during absence

Wilkie, Karina and Jones, Anthony. (2010). Creative connections to school: Teachers support the learning of students with chronic illness during absence.*Australian Computers in Education Conference.*Australia: Australian Council for Computers in Education. pp. 1 - 10

##### Decimats: Helping students to make sense of decimal place value

Roche, Anne. (2010). Decimats: Helping students to make sense of decimal place value.*Australian Primary Mathematics Classroom.*15(2), pp. 4 - 12.

##### Developing Year 5 Students' Understanding of Density: Implications for Mathematics Teaching

Clarke, Doug, Hilton, Geoff, Dole, Shelley and Wright, Tony. (2009). Developing Year 5 Students' Understanding of Density: Implications for Mathematics Teaching. In Roberta Hunter, Brenda Bicknell and Tim Burgess (Ed.).*Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia.*Palmerston North, New Zealand: Mathematics Education Research Group of Australasia. pp. 153 - 160

##### Using a concept cartoon to gain insight into children's calculation strategies

Sexton, Matthew, Gervasoni, Ann Maree and Brandenburg, Robyn. (2009). Using a concept cartoon to gain insight into children's calculation strategies.*Australian Primary Mathematics Classroom.*

##### Students' fraction comparison strategies as a window into robust understanding and possible pointers for instruction

Clarke, Doug M. and Roche, Anne. (2009). Students' fraction comparison strategies as a window into robust understanding and possible pointers for instruction.*Educational Studies in Mathematics.*72(1), pp. 127 - 138. https://doi.org/10.1007/s10649-009-9198-9

##### Using a concept cartoon to gain insight into children's calculation strategies

Sexton, Matthew, Gervasoni, Ann and Brandenburg, Robyn. (2009). Using a concept cartoon to gain insight into children's calculation strategies.*Australian Primary Mathematics Classroom.*14(4), pp. 24 - 28.

##### Opportunities and challenges for teachers and students provided by tasks built around ''real'' contexts

Clarke, Douglas McLean and Roche, Anne. (2009). Opportunities and challenges for teachers and students provided by tasks built around ''real'' contexts. In R. Hunter, B. Bicknell and T. Burgess (Ed.).*Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA).*Palmerston North, New Zealand: Mathematics Education Research Group of Australasia. pp. 722 - 725

##### Converting mathematics tasks to learning opportunities: An important aspect of knowledge for mathematics teaching

Sullivan, Peter, Clarke, Barbara and Clarke, Doug. (2009). Converting mathematics tasks to learning opportunities: An important aspect of knowledge for mathematics teaching.*Mathematics Education Research Journal.*21(1), pp. 85 - 105. https://doi.org/10.1007/BF03217539

##### Link and learn: Students connecting to their schools and studies using ICT despite chronic illness

Wilkie, Karina and Jones, Anthony. (2009). Link and learn: Students connecting to their schools and studies using ICT despite chronic illness.*Annual Conference of the Australian Association for Research in Education (AARE).*Australia: Australian Association for Research in Education. pp. 1 - 13

##### Preservice secondary teachers' competencies in proof

Brown, Jill Patricia and Stillman, Gloria. (2009). Preservice secondary teachers' competencies in proof. In Fuo-Lai Lin, Feng-Jui Hsieh and Gila Hanna (Ed.).*Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings.*Taipei, Taiwan: National Taiwan Normal University. pp. 94 - 99

##### Students provide information on affective domain and learning environment through interview

Horne, Marjorie. (2009). Students provide information on affective domain and learning environment through interview. In M. Tzekaki, M. Kaldrimidou and H. Sakonidis (Ed.).*In Search for Theories in Mathematics Education: Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education.*Thessaloniki, Greece: International Group for the Psychology of Mathemati.... pp. 185 - 192

##### Exploring the relationship between task, teacher actions, and the student learning

Sullivan, Peter, Clarke, Doug, Clarke, Barbara and O'Shea, Helen. (2009). Exploring the relationship between task, teacher actions, and the student learning. In M. Tzekaki, M. Kaldrimidou and H. Sakonidis (Ed.).*In Search for Theories in Mathematics Education: Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education.*Thessaloniki, Greece: International Group for the Psychology of Mathemati.... pp. 185 - 192

##### There are more than part-whole strategies at work in understanding non-equal-parts fraction-area-models

Mitchell, Annie and Horne, Marjorie. (2009). There are more than part-whole strategies at work in understanding non-equal-parts fraction-area-models. In R. Hunter, B. Bicknell and T. Burgess (Ed.).*Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA).*Palmerston North, New Zealand: Mathematics Education Research Group of Australasia. pp. 371 - 378

##### Making Sense of Partitive and Quotitive Division :A snapshot of Teachers' Pedagogical Content Knowledge

Clarke, Douglas McLean and Roche, Anne. (2009). Making Sense of Partitive and Quotitive Division :A snapshot of Teachers' Pedagogical Content Knowledge. In Roberta Hunter, Brenda Bicknell and Tim Burgess (Ed.).*Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia.*Palmerston Nth, New Zealand: Mathematics Education Research Group of Australasia. pp. 467 - 474

##### Concept Maps: Implications for the Teaching of Function for Secondary School Students

Brown, Jill Patricia. (2009). Concept Maps: Implications for the Teaching of Function for Secondary School Students. In R. Hunter, B. Bicknell and T. Burgess (Ed.).*Crossing Divides: Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA).*Palmerston North, NZ: Mathematics Education Research Group of Australasia. pp. 65 - 72

##### Using mathematical tasks built around "real" contexts: Opportunites and challenges for teachers and students: The need for greater challenge and relevance for students in the middle years

Clarke, Doug and Roche, Anne. (2009). Using mathematical tasks built around "real" contexts: Opportunites and challenges for teachers and students: The need for greater challenge and relevance for students in the middle years.*Australian Primary Mathematics Classroom.*14(2), pp. 24 - 31.

##### Narrowing the gap :Empowering teachers and parents through understanding how children with Down syndrome develop mathematically

Brady, Josephine, Clarke, Douglas McLean, Gervasoni, Ann Maree, Clarke, Barbara and Faragher, Rhonda Muriel. (2008). Narrowing the gap :Empowering teachers and parents through understanding how children with Down syndrome develop mathematically. In Lorraine Graham (Ed.).*Proceedings of the 'Narrowing the Gap: Addressing Educational Disadvantage' Conference.*Armidale, Australia: SiMMER, University of New England. pp. 56 - 62

##### Ten practical tips for making fractions come alive and make sense

Clarke, Doug, Roche, Anne and Mitchell, Annie. (2008). Ten practical tips for making fractions come alive and make sense.*Mathematics Teaching in the Middle School.*13(7), pp. 373 - 380.

##### Developing understanding of triangle

Horne, Marjorie and Watson, Kelly. (2008). Developing understanding of triangle. In Olimpia Figueras, Jose Luis Cortina and Silvia Alatorre (Ed.).*Proceedings of the Joint Meeting of PME32 and PME-NA XXX.*Morelia, Mexico: Cinvestav-UMSNH. pp. 177 - 184

##### Fraction number line tasks and the additivity concept of length measurement

Mitchell, Annie and Horne, Marjorie. (2008). Fraction number line tasks and the additivity concept of length measurement. In M. Goos, R. Brown and K. Makar (Ed.).*Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia.*Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 353 - 360

##### The mathematics teacher as curriculum maker: Developing knowledge for enacting curriculum

Clarke, Doug. (2008). The mathematics teacher as curriculum maker: Developing knowledge for enacting curriculum. In In P. Sullivan and T. Wood (Ed.).*Knowledge and Beliefs in Mathematics Teaching and Teaching Development*pp. 133 - 151 Sense Publishers.

##### Using education research to inform Mathematics teaching in a school

Horne, Marjorie. (2008). Using education research to inform Mathematics teaching in a school. In Olimpia Figueras, Jose Luis Cortina and Silvia Alatorre (Ed.).*Proceedings of the Joint Meeting of PME32 and PME-NA XXX.*Morelia, Mexico: Cinvestav-UMSNH. pp. 81 - 86

##### Research into the teaching and learning of applications and modelling in Australasia

Stillman, Gloria, Brown, Jill Patricia and Galbraith, Peter. (2008). Research into the teaching and learning of applications and modelling in Australasia. In*Research in Mathematics Education in Australasia 2004-2007*pp. 141 - 164 Sense Publishers.

##### Understanding, assessing and developing young mathematical thinkers

Clarke, Douglas McLean. (2008). Understanding, assessing and developing young mathematical thinkers. In Mogens Niss (Ed.).*Proceedings of the 10th International Conference on Mathematical Education.*Roskilde, Denmark: Roskilde University. pp. 1 - 15

##### Children with down syndrome learning mathematics: Can they do it? Yes they can!

Faragher, Rhonda, Brady, Jo, Clarke, Barbara, Gervasoni, Ann and Clarke, Doug. (2008). Children with down syndrome learning mathematics: Can they do it? Yes they can!*Australian Primary Mathematics Classroom.*13(4), pp. 10 - 15.

##### Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong

Schwarz, Bjorn, Vale, Colleen, Brown, Jill Patricia, Stillman, Gloria, Kaiser, Gabriele, Buchholtz, Nils and Leung, Issic. (2008). Competencies in argumentation and proof :A comparative study of future mathematics teachers from Australia, Germany and Hong Kong. In Gabriele Kaiser (Ed.).*Discussion Group 14: International Comparisons in Mathematics Education.*Monterrey, Mexico: International Commission on Mathematical Instruction. pp. 1 - 6

##### Sprouting of dopamine terminals and altered dopamine release and uptake in parkinsonian dyskinaesia

Lee, Joohyung, Zhu, Wen-Mei, Stanic, Davor, Finkelstein, David, Horne, Marj, Henderson, Jasmine, Lawrence, Andrew, O'Connor, Louise, Tomas, Doris, Drago, John and Horne, Malcolm. (2008). Sprouting of dopamine terminals and altered dopamine release and uptake in parkinsonian dyskinaesia.*Brain: a journal of neurology.*131(6), pp. 1574 - 1587. https://doi.org/10.1093/brain/awn085

##### Focusing Year 8 students on self-regulating their learning of mathematics

McDonough, Andrea Mary and Sullivan, Peter. (2008). Focusing Year 8 students on self-regulating their learning of mathematics. In Merrilyn Goos, Ray Brown and Katie Makar (Ed.).*Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia.*Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 337 - 343

##### Eliciting growth in teachers' proportional reasoning :Measuring the impact of a professional development program

Dole, Shelley, Clarke, Douglas McLean, Wright, Tony, Hilton, Geoff and Roche, Anne. (2008). Eliciting growth in teachers' proportional reasoning :Measuring the impact of a professional development program. In Merrilyn Goos, Ray Brown and Katie Makar (Ed.).*Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia.*Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 163 - 170

##### Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries

Schwarz, Bjorn, Leung, Issic K. C., Bucholtz, Nils, Kaiser, Gabriele, Stillman, Gloria, Brown, Jill Patricia and Vale, Colleen. (2008). Future teachers' professional knowledge on argumentation and proof: A case study from universities in three countries.*ZDM.*40(5), pp. 791 - 811. https://doi.org/10.1007/s11858-008-0150-8

##### The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers

Brown, Jill Patricia, Stillman, Gloria, Schwarz, Bjorn and Kaiser, Gabriele. (2008). The case of mathematical proof in lower secondary school :Knowledge and competencies of pre-service teachers. In Merrilyn Goos, Ray Brown and Katie Makar (Ed.).##### Year Six Fraction Understanding :A Part of the Whole Story

Clarke, Douglas McLean, Mitchell, Annie and Roche, Anne. (2007). Year Six Fraction Understanding :A Part of the Whole Story. In J Watson and K Beswick (Ed.).*Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia..*Adelaide,Australia: Mathematics Education Research Group of Australasia. pp. 207 - 216

##### Early notions of functions in a technology-rich teaching and learning environment (TRTLE)

Brown, Jill Patricia. (2007). Early notions of functions in a technology-rich teaching and learning environment (TRTLE). In J Watson and K Beswick (Ed.).*Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia..*Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 153 - 162

##### A framework for success in implementing mathematical modelling in the secondary classroom

Stillman, Gloria, Brown, Jill Patricia, Edwards, I. and Galbraith, Peter. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. In J Watson and K Beswick (Ed.).*Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia..*Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 688 - 707

##### Helping Teachers to assess students' readiness to learn Mathematics

Sullivan, Peter and McDonough, Andrea Mary. (2007). Helping Teachers to assess students' readiness to learn Mathematics. In Peter L. Jeffery (Ed.).*AARE 2006 International Education Research Conference Engaging Pedagogies.*Melbourne, Australia: Australian Association for Research in Education. pp. 1 - 9

##### Challenges in formulating an extended modelling task at Year 9

Stillman, Gloria and Brown, Jill Patricia. (2007). Challenges in formulating an extended modelling task at Year 9. In H. Reeves, K. Milton and T. Spencer (Ed.).*Mathematics: Essential for learning, essential for life Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc..*Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 224 - 231

##### Identifying challenges within transition phases of mathematical modelling activity at Year 9

Stillman, Gloria, Brown, Jill and Galbraith, Peter. (2007). Identifying challenges within transition phases of mathematical modelling activity at Year 9.*Conference Proceedings Of the Thirteenth International Conference on the Teaching of Mathematical Modelling and Applications.*International Conference on the Teaching of Mathematical Modelling and Applications. pp. 1 - 10

##### Ten key principles from research for the professional development of mathematics teachers

Clarke, Douglas McLean. (2007). Ten key principles from research for the professional development of mathematics teachers. In In G. C. Leder and H. J. Forgasz (Ed.).*Stepping Stones for the 21st Century: Australasian Mathematics Education Research*pp. 27 - 37 Sense Publishers.

##### Eliciting positive student motivation for learning mathematics

Sullivan, Peter and McDonough, Andrea Mary. (2007). Eliciting positive student motivation for learning mathematics. In J. Watson and K. Beswick (Ed.).##### Facilitating middle secondary modelling competencies

Galbraith, Peter, Stillman, Gloria, Brown, Jill Patricia and Edwards, I. (2007). Facilitating middle secondary modelling competencies. In In C. Haines, P. Galbraith and W. Blum et al. (Ed.).*Mathematical modelling (ICTMA12): Education, engineering and economics*pp. 130 - 140 Horwood Press.

##### Making Connections Science and Mathematics :The MC SAM Project

Clarke, Douglas McLean, Hilton, Geoff, Wright, Tony and Dole, Shelley. (2007). Making Connections Science and Mathematics :The MC SAM Project. In U.H. Cheah, Y. Wahyudi and R.P. Devadson (Ed.).*Refining Learning Culture for Sustainability (Proceedings of the 2nd International Conference on Science and mathematics Education.*Penang, Malaysia: SEAMEO RECSAM. pp. 184 - 194

##### Young children developing place value understandings

Horne, Marjorie and Livy, Sharyn. (2006). Young children developing place value understandings. In Jarmila Novotna, Hana Moraova and Magdalena Kratka (Ed.).*Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education.*Prague, Czech Republic: Charles University. pp. 313 - 320

##### Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's)

Brown, Jill Patricia. (2006). Looking through zones at the teacher's role in technology-rich teaching and learning environments (TRTLE's). In C. Hoyles, J-b. Lagrange and L. H. Son (Ed.).*Digital technologies and mathematics teaching and learning: Rethinking the terrain, Proceedings of the seventeenth ICMI Study: 'Technology revisited'.*Hanoi, Vietnam: International Commission on Mathematical Instruction. pp. 56 - 65

##### Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE)

Brown, Jill Patricia. (2006). Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE). In J. Novotna, H. Moraova and M. Kratke (Ed.).*Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education (PME),.*Prague, Czech Republic: International Group for the Psychology of Mathemati.... pp. 241 - 248

##### Defining moments in the graphing calculator solution of a cubic function task

Brown, Jill and Stillman, Gloria. (2006). Defining moments in the graphing calculator solution of a cubic function task.*Nordisk Matematikkdidaktikk (Nordic Studies in Mathematics).*11(3), pp. 57 - 84.

##### Fractions as division: The forgotten notion?

Clarke, Doug. (2006). Fractions as division: The forgotten notion?*Australian Primary Mathematics Classroom.*11(3), pp. 4 - 10.

##### When successful comparison of decimals doesn't tell the story

Roche, Anne and Clarke, Douglas McLean. (2006). When successful comparison of decimals doesn't tell the story. In J. Novotna, H. Moraova and M. Kratka (Ed.).*Proceedings of the 30th Conference of the International Group of Psychology of Mathematics Education.*Prague, Czech Republic: Charles University. pp. 425 - 432

##### Identifying key transition activities for enhanced engagement in mathematical modelling

Galbraith, Peter, Stillman, Gloria Ann and Brown, Jill Patricia. (2006). Identifying key transition activities for enhanced engagement in mathematical modelling. In P.Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.).*Identities, cultures and learning spaces, Proceedings of the Twenty Ninth annual conference of the Mathematics Education Research Group of Australasia (MERGA).*Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 237 - 245

##### Perhaps the decision of some students not to engage in learning mathematics in school is deliberate

Sullivan, Peter, Tobias, Steve and McDonough, Andrea Mary. (2006). Perhaps the decision of some students not to engage in learning mathematics in school is deliberate.*Educational Studies in Mathematics.*62(1), pp. 81 - 99. https://doi.org/10.1007/s10649-006-1348-8

##### Student Engagement in the Middle Years :Describing Influences and Possible Teacher Actions

Prain, Vaughan, Sullivan, Peter and McDonough, Andrea Mary. (2006). Student Engagement in the Middle Years :Describing Influences and Possible Teacher Actions.*Australian Association for Research in Education 2005 Conference Papers.*Melbourne, Australia: Australian Association for Research in Education. pp. 1 - 8

##### A longitudinal study of children's mental computation skills

Clarke, Douglas McLean, Clarke, Barbara and Horne, Marjorie. (2006). A longitudinal study of children's mental computation skills. In J. Novotna, H. Moraova and M. Kratka (Ed.).*Proceedings of the 30th Conference of the International Group of Psychology of Mathematics.*Prague, Czech Republic: Charles University. pp. 329 - 336

##### Assessing student understanding of fractions using task-based interviews

Clarke, Douglas McLean, Roche, Anne, Mitchell, Annie and Sukenik, Michal. (2006). Assessing student understanding of fractions using task-based interviews. In J. Novotna, H. Moraova and M. Kratka (Ed.).*Proceedings of the 30th Conference of the International Group of Psychology of Mathematics Education.*Prague, Czech Republic: Charles University. pp. 337 - 344

##### Examining the changed role of numeracy coordinators

Clarke, Douglas McLean and Cheeseman, Jill. (2006). Examining the changed role of numeracy coordinators. In P. Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.).*Identities; Cultures; and Learning: Proceedings of the 29th annual conference of the Mathematics Education Research Group of Australasia.*Canberra, Australia: Mathematics Education Research Group of Australasia. pp. 123 - 130

##### Affordances of a technology-rich teaching and learning environment

Brown, Jill Patricia. (2005). Affordances of a technology-rich teaching and learning environment. In P. Clarkson, A. Downton and D. Gronn (Ed.).*Building Connections, Theory, Research and Practice: Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia.*Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 177 - 184

##### Written algorithms in the primary years: Undoing the good work?

Clarke, D.. (2005). Written algorithms in the primary years: Undoing the good work? In M. Coupland, J. Anderson and T. Spencer (Ed.).*Making mathematics vital (Proceedings of the 20th biennial conference of the Australian Association of Mathematics Teachers).*Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 93 - 98

##### Algebra revisited

Horne, Marjorie. (2005). Algebra revisited. In M. Coupland, J. Anderson and T. Spencer (Ed.).*Making Mathematics Vital: The Proceedings of the Twentieth biennial conference of the Australian Association of Mathematics Teachers Inc..*Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 308 - 315

##### Professional development as a catalyst for changes in beliefs and practice :perspectives from the Early Numeracy Research Project

McDonough, Andrea Mary and Clarke, Barbara. (2005). Professional development as a catalyst for changes in beliefs and practice :perspectives from the Early Numeracy Research Project. In P. Clarkson, A. Downton and D. Gronn (Ed.).*Proceedings of the annual conference of the Mathematics Education Research Group of Australasia.*Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 521 - 528

##### Identification of affordances of a technology-rich teaching and learning environment (TRTLE)

Brown, Jill Patricia. (2005). Identification of affordances of a technology-rich teaching and learning environment (TRTLE). In H. Chick and J. Vincent (Ed.).*Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education (PME).*Melbourne, Australia: International Group for the Psychology of Mathemati.... pp. 185 - 192

##### The effects of number knowledge at school entry on subsequent number development: A five-year longitudinal study

Horne, Marjorie. (2005). The effects of number knowledge at school entry on subsequent number development: A five-year longitudinal study. In P. Clarkson, A. Downton and D. Gronn (Ed.).*Building connections: Research; theory and practice (Proceedings of the 28th annual conference of the Mathematics Education Research Group of Australasia).*Melbourne, Australia: Mathematics Education Research Group of Australasia. pp. 443 - 450

##### Longer is larger - or is it?

Roche, Anne. (2005). Longer is larger - or is it?*Australian Primary Mathematics Classroom.*10(3), pp. 11 - 16.

##### Gender and mathematics

Horne, Marjorie, Vale, Colleen and Forgasz, Helen. (2004). Gender and mathematics. In In B. Berry, G. Anthony and C. Diezmann (Ed.).*Research in Mathematics Education in Australasia; 2000-2003*pp. 75 - 100 Post Pressed.

##### Mathematics teaching in grades K-2: Painting a picture of challenging; supportive and effective classrooms

Clarke, Douglas McLean and Clarke, Barbara. (2004). Mathematics teaching in grades K-2: Painting a picture of challenging; supportive and effective classrooms. In In R. N. Rubenstein and G. Bright (Ed.).*Perspectives on the Teaching of Mathematics (66th Yearbook)*pp. 67 - 81 National Council of Teachers of Mathematics.

##### Early Gender Differences

Horne, Marjorie. (2004). Early Gender Differences. In Marit Johnsen Hoines and Anne Berit Fuglestad (Ed.).*Proceedings of the 28th Conference of the International group for the psychology of mathematics education.*Bergen, Norway: Bergen University College. pp. 23802 - 25993

##### Investigating young children's beliefs about mathematics and learning :The use and value of a range of creative interview tasks

McDonough, Andrea Mary. (2004). Investigating young children's beliefs about mathematics and learning :The use and value of a range of creative interview tasks.*ICME-10 Proceedings Editor: Mogens Niss Administrative editor: Elin Emborg ICME-10 Proceedings.*Copenhagen,Denmark: International Commission on Mathematical Instruction. pp. 1 - 1

##### Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice

Brown, Jill Patricia. (2004). Enabling teachers to perceive the affordances of a technologically rich learning environment for linear functions in order to design units of work incorporating best practice. In W. C. Yang, S. C. Chu and T. de Alwis (Ed.).*Proceedings of the 9th Asian Technology Conference in Mathematics.*Singapore, Singapore: Advanced Technology Council in Mathematics Inc. pp. 242 - 251

##### Making mathematics challenging and enjoyable in the middle years

Clarke, Doug. (2004). Making mathematics challenging and enjoyable in the middle years.*Australian Journal of Middle Schooling.*4(1), pp. 1 - 8.

##### Class grouping for mathematics: What do we know?

Horne, Marjorie. (2004). Class grouping for mathematics: What do we know? In In E. Clarke, L. Johansson and W. Lester (Ed.).*International Perspectives on Learning and Teaching of Mathematics*pp. 395 - 410 National Center for Mathematics Education.

##### Students' perceptions of factors contributing to successful participation in mathematics

McDonough, Andrea Mary, Sullivan, Peter and Harrison, Robyn Turner. (2004). Students' perceptions of factors contributing to successful participation in mathematics. In M. J. Hoines and A. B. Fugelstad (Ed.).*Proceedings of the 28th Conference of the International group for the psychology of mathematics education.*Bergen, Norway: Bergen University College. pp. 289 - 296

##### A difficult function

Brown, Jill. (2004). A difficult function.*Australian Mathematics Teacher.*60(2), pp. 6 - 11.

##### Issues in the teaching of algorithms in the primary years

Clarke, Douglas McLean. (2004). Issues in the teaching of algorithms in the primary years. In In E. Clarke, L. Johansson and W. Lester (Ed.).*International Perspectives on Learning and Teaching Mathematics*pp. 21 - 36 National Center for Mathematics Education.

##### Teacher approaches to graphing a difficult cubic function

Brown, Jill Patricia. (2004). Teacher approaches to graphing a difficult cubic function. In I. Putt, R. Faragher and M. McLean (Ed.).*Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia.*Townsville, Australia: Mathematics Education Research Group of Australasia. pp. 111 - 118

##### When is three quarters not three quarters? Listening for conceptual understanding in children's explanations in a fraction interview

Mitchell, Annie and Clarke, Doug. (2004). When is three quarters not three quarters? Listening for conceptual understanding in children's explanations in a fraction interview. In Ian Putt, Rhonda Farragher and Mal McLean (Ed.).*Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia.*Townsville,Australia: James Cook University. pp. 367 - 373

##### When does the successful comparison of decimals reflect conceptual understanding?

Clarke, Douglas McLean and Roche, Anne. (2004). When does the successful comparison of decimals reflect conceptual understanding? In Ian Putt, Rhonda Farragher and Mal McLean (Ed.).*Mathematics Education for the Third Millennium: Towards 2010 (Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australia).*Townsville,Australia: James Cook University. pp. 486 - 493

##### Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum?

Stillman, Gloria, Brown, Jill Patricia and Herberts, Sandra. (2004). Can the notion of affordances be of use in the design of a technology enriched mathematics curriculum? In I. Putt, R. Faragher and M. McLean (Ed.).*Mathematics Education for the third millennium: Towards 2010, Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia.*Townsville, Australia: Mathematics Education Research Group of Australasia. pp. 119 - 126

##### Using questioning to elicit and develop children's mathematical thinking

Clarke, Barbara and Clarke, Douglas McLean. (2004). Using questioning to elicit and develop children's mathematical thinking. In In G.W. Bright and R.N. Rubenstein (Ed.).*Perspectives on the teaching of mathematics*pp. 5 - 10 National Council of Teachers of Mathematics.

##### Properties of shape

Horne, Marj. (2003). Properties of shape.*Australian Primary Mathematics Classroom.*8(2), pp. 8 - 13.

##### Encouraging perseverance in elementary mathematics

Clarke, Doug and Clarke, Barbara. (2003). Encouraging perseverance in elementary mathematics.*Teaching Children Mathematics.*

##### An issue in teaching and learning subtraction: What's the difference?

Clarke, Doug. (2003). An issue in teaching and learning subtraction: What's the difference?*Australian Primary Mathematics Classroom.*8(3), pp. 4 - 11.

##### Gender differences in the early years in addition and subtraction

Horne, Marjorie. (2003). Gender differences in the early years in addition and subtraction. In N. A. Pateman, B. J. Dougherty and J. Zilliox (Ed.).*Proceedings of the 2003 Joint Meeting of PME and PMENA.*Honolulu, United States: Curriculum Research and Development Group - University of Hawaii. pp. 79 - 86

##### Understanding; assessing and developing young children's mathematical thinking

McDonough, A., Clarke, Doug and Clarke, Barbara. (2003). Understanding; assessing and developing young children's mathematical thinking.*9th National Conference of the Association for Mathematics Education of South Africa.*Cape Town,South Africa: Association for Mathematics Education of South Africa. pp. 11 - 31

##### Assessing and developing measurement with young children

Clarke, Douglas McLean, Cheeseman, Jill and McDonough, Andrea Mary. (2003). Assessing and developing measurement with young children. In In D. H. Clements and G. Bright (Ed.).*Learning and Teaching Measurement*pp. 68 - 80 National Council of Teachers of Mathematics.

##### Describing the practice of effective teachers of mathematics in the early years

McDonough, Andrea Mary and Clarke, Doug McLean. (2003). Describing the practice of effective teachers of mathematics in the early years. In N. A. Pateman, B. J. Dougherty and J. Zilliox (Ed.).*Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics.*Honolulu, Hawaii, USA: International Group for the Psychology of Mathematics Education. pp. 261 - 268

##### Defining moments in determining a complete graph in a graphing calculator teaching and learning environment

Brown, Jill Patricia. (2003). Defining moments in determining a complete graph in a graphing calculator teaching and learning environment. In L. Bragg, C. Campbell and G. Herbert (Ed.).*Mathematics Education Research: Innovation, networking, opportunity. Proceedings of the 26th annual conference of the Mathematics Education Research Group of Australasia (MERGA).*Geelong, Australia: Mathematics Education Research Group of Australasia. pp. 168 - 175

##### Naïve and yet knowing: Young learners portray beliefs about mathematics and learning

McDonough, Andrea M.. (2002).*Naïve and yet knowing: Young learners portray beliefs about mathematics and learning*[Thesis]. https://doi.org/10.4226/66/5a8e4d814b7aa

##### Understanding assessing and developing young children's mathematical thinking: Research as a powerful tool for professional growth

Clarke, Doug. (2001). Understanding assessing and developing young children's mathematical thinking: Research as a powerful tool for professional growth.*24th Annual MERGA Conference.*pp. 11 - 29