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
AuthorsClarke, 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.

Keywordsteacher professional learning; demonstration lessons; observations; teacher change; pedagogical content knowledge; student learning
Year2013
JournalMathematics Education Research Journal
Journal citation25 (2), pp. 207 - 230
PublisherSpringer Netherlands
ISSN1033-2170
Digital Object Identifier (DOI)https://doi.org/10.1007/s13394-012-0058-z
Scopus EID2-s2.0-84877010734
Page range207 - 230
Publisher's version
File Access Level
Controlled
Place of publicationNetherlands
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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 J. Way and J. Bobis (Ed.). Fractions: Teaching for understanding pp. 23 - 31 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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.). Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia. 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
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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
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There are more than part-whole strategies at work in understanding non-equal-parts fraction-area-models
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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
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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.). Proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia. Brisbane, Australia: Mathematics Education Research Group of Australasia. pp. 85 - 91
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)
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A framework for success in implementing mathematical modelling in the secondary classroom
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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
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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
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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)
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Manifestations of affordances of a technology-rich teaching and learning environment (TRTLE)
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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
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