# Time: Assessing understanding of core ideas

Conference item

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

Authors | Thomas, Margaret, McDonough, Andrea Mary, Clarkson, Philip and Clarke, Douglas McLean |
---|---|

Abstract | Although an understanding of time is crucial in our society, curriculum documents have an undue emphasis on reading time and little emphasis on core underlying ideas. Given this context, a one-to-one assessment interview, based on a new framework, was developed and administered to investigate students’ understanding of core ideas undergirding the notion of time: succession, duration and measurement. This paper reports on the development and implementation of the interview and initial results for Year 3/4 students. |

Year | 2016 |

Publisher | Mathematics Education Research Group of Australasia |

Web address (URL) | https://www.merga.net.au/Public/Public/Publications/Annual_Conference_Proceedings/2016_MERGA_Conference_Proceedings.aspx |

Publisher's version | File Access Level Controlled |

Book title | Opening Up Mathematics Education: Research Proceedings of the 39th Annual Conference of the Mathematics Education Research Group of Australasia |

Page range | 600 - 607 |

ISBN | 9781920846299 |

Research Group | School of Education |

Place of publication | Australia |

Editors | B. White, M. Chinnappan and S. Trenholm |

Permalink -

https://acuresearchbank.acu.edu.au/item/8v1v2/time-assessing-understanding-of-core-ideas

## Restricted files

### Publisher's version

*(1 files)*

##### 126

total views##### 0

total downloads##### 1

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

##### Reflections on themes in professional contributions by David Clarke

Clarke, Doug, Stephens, Max and Sullivan, Peter. (2022). Reflections on themes in professional contributions by David Clarke.*ZDM Mathematics Education.*54(2), pp. 457-465. https://doi.org/10.1007/s11858-021-01288-5

##### Exploring educator values alignment strategies in an intervention context : The emergence of the Beacon strategy

Kalogeropoulos, Penelope, Russo, James Anthony and Clarkson, Philip. (2021). Exploring educator values alignment strategies in an intervention context : The emergence of the Beacon strategy.*ECNU Review of Education.*4(2), pp. 327-348. https://doi.org/10.1177/2096531120923127

##### Reflecting on translanguaging by a monolingual : Is that paradoxical?

Clarkson, Philip. (2020). Reflecting on translanguaging by a monolingual : Is that paradoxical?*Cultural Studies of Science Education.*15(2), pp. 511-521. https://doi.org/10.1007/s11422-019-09951-w

##### Papua New Guinea : Change and continuity in mathematics education in Papua New Guinea

Owens, Kay, Clarkson, Philip, Owens, Chris and Muke, Charly. (2019). Papua New Guinea : Change and continuity in mathematics education in Papua New Guinea. In In Mack, John and Vogeli, Bruce (Ed.).*Mathematics and its teaching in the Asia-pacific region*pp. 69-111 World Scientific Publishing Co. Pte. Ltd.. https://doi.org/10.1142/9789813272132_0003

##### 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

##### 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

##### 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

##### The phonological neighbourhood effect on short-term memory for order

Clarkson, L., Roodenrys, S., Miller, Leonie M. and Hulme, Charles. (2017). The phonological neighbourhood effect on short-term memory for order.*Memory.*25(3), pp. 391 - 402. https://doi.org/10.1080/09658211.2016.1179330

##### Multilingual contexts: a new positioning for STEM teaching/learning

Clarkson, Philip and Carter, Lyn. (2017). Multilingual contexts: a new positioning for STEM teaching/learning. In In R. Millar (Ed.).*Cognitive and Affective Aspects in Science Education Research: Selected Papers from the ESERA 2015 Conference*pp. 233 - 242 Springer International Publishing. https://doi.org/10.1007/978-3-319-58685-4_18

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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.

##### 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

##### 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.).*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. 637 - 644

##### 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

##### 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

##### 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

##### 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.*

##### 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

##### 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

##### 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

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

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

##### 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.

##### 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

##### 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.

##### 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

##### 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

##### 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

##### 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

##### Thinking back : Becoming aware of the global and its impact on choice

Clarkson, Philip. (2011). Thinking back : Becoming aware of the global and its impact on choice.*Cultural Studies of Science Education (print version).*6(1), pp. 153 - 163. https://doi.org/10.1007/s11422-010-9306-2

##### 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.

##### 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

##### 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.

##### 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

##### 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

##### 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

##### Mathematics and water in the garden: Weaving mathematics into the students' lived environment

Clarkson, Philip. (2010). Mathematics and water in the garden: Weaving mathematics into the students' lived environment.*Australian Primary Mathematics Classroom.*15(1), pp. 11 - 14.

##### 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

##### Mathematics education and student values: The cultivation of mathematical wellbeing

Clarkson, Philip, Bishop, Alan and Seah, Wee Tiong. (2010). Mathematics education and student values: The cultivation of mathematical wellbeing. In In T. Lovat (Ed.). pp. 111 - 135 Springer. https://doi.org/10.1007/978-90-481-8675-4_7##### 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

##### 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

##### 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

##### 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

##### Potential lessons for teaching in multilingual mathematics classrooms in Australia and southeast Asia

Clarkson, Philip. (2009). Potential lessons for teaching in multilingual mathematics classrooms in Australia and southeast Asia.*Journal of Science and Mathematics Education in Southeast Asia.*32(1), pp. 1 - 17.

##### 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.

##### Exploring the possibilities of using tic-tac-toe to think and communicate about mathematics

Clarkson, Philip. (2008). Exploring the possibilities of using tic-tac-toe to think and communicate about mathematics.*Australian Mathematics Teacher.*64(2), pp. 28 - 33.

##### In conversation with Alan Bishop

Clarkson, Philip. (2008). In conversation with Alan Bishop. In In P. Clarkson and N. Presmeg (Ed.).*Critical Issues in Mathematics Education: Major Contributions of Alan Bishop*pp. 13 - 28 Springer. https://doi.org/10.1007/978-0-387-09673-5_2

##### Sociocultural perspectives in mathematics teaching and learning

Seah, Wee Tiong, Atweh, Bill, Clarkson, Philip and Ellerton, Nerida. (2008). Sociocultural perspectives in mathematics teaching and learning. In In H. Forgasz, A. Barkatsas and A. Bishop et al. (Ed.).*Research in Mathematics Education in Australasia 2004-2007*pp. 223 - 254 Sense Publishers.

##### Students' motivation and attitudes towards mathematics and its study

Clarkson, Philip and Hannula, Markku. (2008). Students' motivation and attitudes towards mathematics and its study. In Mogens Niss (Ed.).*Proceedings of the 10th International Conference on Mathematical Education.*Roskilde, Denmark: IMFUFA. pp. 399 - 401

##### 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.

##### Iranian bilingual students reported use of language switching when doing mathematics

Parvanehnezhad, Zahra and Clarkson, Philip. (2008). Iranian bilingual students reported use of language switching when doing mathematics.*Mathematics Education Research Journal.*20(1), pp. 51 - 80. https://doi.org/10.1007/BF03217469

##### 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

##### Developing a festschrift with a difference

Clarkson, Philip and Presmeg, Norma. (2008). Developing a festschrift with a difference. In In P. Clarkson and N. Presmeg (Ed.).*Critical Issues in Mathematics Education: Major Contributions of Alan Bishop*pp. 3 - 11 Springer. https://doi.org/10.1007/978-0-387-09673-5_1

##### 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.

##### 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

##### Lessons in Languages from Mathematics classrooms in Australia

Clarkson, Philip. (2007). Lessons in Languages from Mathematics classrooms in Australia. 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. 20 - 28

##### 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.).*30th annual conference of the Mathematics Education Research Group of Australasia.*Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 Adelaide,Australia: Mathematics Education Research Group of Australasia. pp. 207 - 216

##### 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

##### 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.).*30th annual conference of the Mathematics Education Research Group of Australasia.*Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 Adelaide, Australia: Mathematics Education Research Group of Australasia. pp. 698 - 707

##### 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

##### Rhyming and folk tales: Resources for mathematical thinking

Clarkson, Philip. (2006). Rhyming and folk tales: Resources for mathematical thinking.*Australian Primary Mathematics Classroom.*11(4), pp. 18 - 23.

##### 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

##### Multicultural; classrooms: Contexts for much mathematics teaching and learning

Clarkson, Philip. (2006). Multicultural; classrooms: Contexts for much mathematics teaching and learning. In In F. Favilli (Ed.).*Ethnomathematics and mathematics education*pp. 9 - 16 Tipografia Editrice Pisana.

##### Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning?

Clarkson, Philip and Indris, Noraini. (2006). Reverting to English to teach mathematics: How are Malaysian teachers and students changing in response to a new language context for learning?*Journal of Science and Mathematics Education in Southeast Asia.*29(2), pp. 69 - 96.

##### 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

##### 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

##### 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

##### The feasibility and effectiveness of pram walking groups for postpartum women in western Sydney

Watson, Natalie, Milat, Andrew, Thomas, Margaret and Currie, Janet. (2005). The feasibility and effectiveness of pram walking groups for postpartum women in western Sydney.*Health Promotion Journal of Australia.*16(2), pp. 93 - 99.

##### 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.

##### 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

##### Teaching mathematics in multilingual classrooms :The global importance of contexts

Clarkson, Philip. (2004). Teaching mathematics in multilingual classrooms :The global importance of contexts. In I.P. Cheong, H.S. Dhindsa and I.J. Kyeleve (Ed.).*Globalisation trends in Science; Mathematics and Technical Education.*Brunei Darussalam,Brunei: Universiti Brunei Darussalam. pp. 9 - 23

##### 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.

##### 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

##### 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.

##### 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

##### 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.

##### Multilingual contexts for teaching mathematics

Clarkson, Philip. (2004). Multilingual contexts for teaching mathematics. In M.J. Hoines and A.B. Fuglestad (Ed.).*Proceedings of the 28th Conference of the International group for the psychology of mathematics education.*Bergen,Norway: International Group for the Psychology of Mathematics Education. pp. 236 - 239

##### Mathematics education in international and global contexts

Clarkson, Philip, Atweh, Bill and Nebres, Bienvenido. (2003). Mathematics education in international and global contexts. In In A. Bishop, M. Clements and C. Keitel et al. (Ed.).*Second international handbook of mathematics education*pp. 185 - 232 Kluwer Academic Publishers.

##### 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.

##### 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

##### Language; logical thinking and communication in school mathematics: Whose responsibility?

Clarkson, Philip. (2003). Language; logical thinking and communication in school mathematics: Whose responsibility? In In H. S. Dhindsa, L. S. Bee and P. Achleitner et al. (Ed.).*Studies in science; mathematics and technical education*pp. 99 - 116 Universiti Brunei Darussalam.

##### 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