# Teaching for abstraction: Teacher learning

Journal article

White, Paul, Wilson, Sue and Mitchelmore, Michael. (2012) Teaching for abstraction: Teacher learning.

*Southeast Asian Mathematics Education Journal.*2(2), pp. 11 - 30.

Authors | White, Paul, Wilson, Sue and Mitchelmore, Michael |
---|---|

Year | 2012 |

Journal | Southeast Asian Mathematics Education Journal |

Journal citation | 2 (2), pp. 11 - 30 |

ISSN | 2089-4716 |

Page range | 11 - 30 |

Research Group | School of Education |

Permalink -

https://acuresearchbank.acu.edu.au/item/8715v/teaching-for-abstraction-teacher-learning

##### 2

total views##### 0

total downloads##### 0

views this month##### 0

downloads this month

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

## Export as

## Related outputs

##### Preschool children’s communication, motor and social development: Parents’ and educators’ concerns

Mcleod, Sharynne, Crowe, Kathryn, McCormack, Jane, White, Paul, Wren, Yvonne, Baker, Elise, Masso, Sarah and Roulstone, Sue. (2018) Preschool children’s communication, motor and social development: Parents’ and educators’ concerns.*International Journal of Speech-Language Pathology.*20(4), pp. 468 - 482. https://doi.org/10.1080/17549507.2017.1309065

##### Cluster-randomized controlled trial evaluating the effectiveness of computer-assisted intervention delivered by educators for children with speech sound disorders

Mcleod, Sharynne, Baker, Elise, McCormack, Jane, Wren, Yvonne, Roulstone, Sue, Crowe, Kathryn, Masso, Sarah, White, Paul and Howland, Charlotte. (2017) Cluster-randomized controlled trial evaluating the effectiveness of computer-assisted intervention delivered by educators for children with speech sound disorders.*Journal of Speech, Language, and Hearing Research.*60(7), pp. 1891 - 1910. https://doi.org/10.1044/2017_JSLHR-S-16-0385

##### Using critical incident technique to investigate pre-service teacher mathematics anxiety

Wilson, Sue. (2015) Using critical incident technique to investigate pre-service teacher mathematics anxiety. In K. Beswick, T. Muir and J. Fielding-Wells (Ed.).*Climbing Mountains, Building Bridges. 39th Conference of the International Group for the Psychology of Mathematics Education. Hobart, Australia..*Hobart, Australia: Psychology of Mathematics Education.

##### "I was in year 5 and I failed maths": Identifying the range and causes of maths anxiety in first year pre-service teachers

Wilson, Sue. (2015) "I was in year 5 and I failed maths": Identifying the range and causes of maths anxiety in first year pre-service teachers. In M. Marshman, V. Geiger and A. Bennison (Ed.).*38th Annual Meeting of the Mathematics Education Research Group of Australasia.*Mathematics Education Research Group of Australasia. pp. 643 - 650

##### "Change my thinking patterns towards maths": A bibliotherapy workshop for pre-service teachers' mathematics anxiety

Wilson, Sue and Raven, Monica. (2014) "Change my thinking patterns towards maths": A bibliotherapy workshop for pre-service teachers' mathematics anxiety. 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. 645 - 652

##### The influence of school science teachers: The differential importance attributed by males and females to encouragement from science teachers

Wilson, Sue, Lyons, Terry and Quinn, Frances. (2014) The influence of school science teachers: The differential importance attributed by males and females to encouragement from science teachers.*STEMplanet Journal.*1, pp. 1 - 4.

##### 'Fail at maths and you fail at life': Learned barriers to equal opportunities - Mathematics anxiety and quality of life

Wilson, Sue. (2014) 'Fail at maths and you fail at life': Learned barriers to equal opportunities - Mathematics anxiety and quality of life. In*Quality of life and intellectual disability: Knowledge application to other social and educational challenges*pp. 71 - 87 Nova Science Publishers.

##### Benzodiazepines: Risks and benefits. A reconsideration

Baldwin, David S., Aitchison, Katherine, Bateson, Alan, Curran, H. Valerie, Davies, Simon, Leonard, Brian, Nutt, David J., Stephens, David N. and Wilson, Sue. (2013) Benzodiazepines: Risks and benefits. A reconsideration.*Journal of Psychopharmacology.*27(11), pp. 967 - 971. https://doi.org/10.1177/0269881113503509

##### Mature age pre-service teachers' mathematics anxiety and factors impacting on university retention

Wilson, Sue. (2013) Mature age pre-service teachers' mathematics anxiety and factors impacting on university retention. In V Steinle, L Ball and C Bardini (Ed.).*Mathematics Education: Yesterday, Today and Tomorrow (MERGA36).*Australia: Mathematics Education Research Group of Australasia. pp. 666 - 673

##### 'Should I stay or should I go'?: Rural and remote students in first year university STEM courses

Wilson, Sue, Lyons, Terry and Quinn, Frances. (2013) 'Should I stay or should I go'?: Rural and remote students in first year university STEM courses.*Australian and International Journal of Rural Education.*23(2), pp. 77 - 88.

##### Investigating rural pre-service teachers' mathematics anxiety using the Revised Mathematics Anxiety Scale (RMARS)

Wilson, Sue. (2013) Investigating rural pre-service teachers' mathematics anxiety using the Revised Mathematics Anxiety Scale (RMARS).*Australian and International Journal of Rural Education.*23(3), pp. 1 - 11.

##### Mathematics curriculum in the schooling years

Anderson, Judy, White, Paul and Wong, Monica. (2012) Mathematics curriculum in the schooling years. In In B Perry, T Lowrie and T Logan, A MacDonald & J Greenlees (Ed.). pp. 219 - 244 Sense Publishers.##### Bibliotherapy: A framework for understanding pre-service primary teachers' affective responses to learning and teaching mathematics

Wilson, Sue and Thornton, Steve. (2012) Bibliotherapy: A framework for understanding pre-service primary teachers' affective responses to learning and teaching mathematics.*Southeast Asian Mathematics Education Journal.*2(2), pp. 45 - 60.

##### Drivers and blockers: Embedding education for sustainability (EfS) in primary teacher education

Wilson, Sue. (2012) Drivers and blockers: Embedding education for sustainability (EfS) in primary teacher education.*Australian Journal of Environmental Education.*28(1), pp. 42 - 56. https://doi.org/10.1017/aee.2012.5

##### Bibliotherapy: A powerful tool to address mathematics anxiety in pre-service primary teachers

Wilson, Sue. (2012) Bibliotherapy: A powerful tool to address mathematics anxiety in pre-service primary teachers. In In A L White and U H Cheah (Ed.). pp. 317 - 329 SEAMEO RECSAM.##### Pressure to perform: Reviewing the use of date through professional learning conversations

White, Paul and Anderson, Judy. (2012) Pressure to perform: Reviewing the use of date through professional learning conversations.*Mathematics Teacher Education and Development.*14(1), pp. 60 - 77.

##### Investigating pre-service teachers' mathematics anxiety using the Revised Mathematics Axiety Scale (RMARS)

Wilson, Sue. (2012) Investigating pre-service teachers' mathematics anxiety using the Revised Mathematics Axiety Scale (RMARS). In J Dindyal, L P Chang and S F Ng (Ed.).*Mathematics education: Expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia.*Singapore: Mathematics Education Research Group of Australasia. pp. 777 - 784

##### Teachers' use of national test data to focus numeracy instruction

White, Paul and Anderson, J.. (2011) Teachers' use of national test data to focus numeracy instruction. 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. 777 - 785

##### Pre-service teacher action research using bibliotherapy to address mathematics anxiety

Wilson, Sue. (2011) Pre-service teacher action research using bibliotherapy to address mathematics anxiety. In B. Ubuz (Ed.).*Proceedings of the 35th conference of the International Group for the Psychology of Mathematics Education: developing mathematical thinking.*Turkey: International Group for the Psychology of Mathemati.... pp. 353 - 360

##### Influence of lesson study on teachers' mathematics pedagogy

Olson, Jo Clay, White, Paul and Sparrow, Len. (2011) Influence of lesson study on teachers' mathematics pedagogy. In In L.C.Hart, A.Alston and A.Murata (Ed.). pp. 39 - 57 Springer. https://doi.org/10.1007/978-90-481-9941-9_4##### "My self-esteem has risen dramatically": A case-study of pre-service teacher action research using bibliotherapy to address mathematics anxiety

Wilson, Sue and Gurney, Shannon. (2011) "My self-esteem has risen dramatically": A case-study of pre-service teacher action research using bibliotherapy to address mathematics anxiety. 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. 804 - 812

##### Pre-service teachers constructing positive mathematical identities: Positing a grounded theory approach

Wilson, Sue. (2010) Pre-service teachers constructing positive mathematical identities: Positing a grounded theory approach. 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. 642 - 648

##### Teaching for abstraction: A model

White, Paul and Mitchelmore, Michael. (2010) Teaching for abstraction: A model.*Mathematical Thinking and Learning.*12(3), pp. 205 - 226. https://doi.org/10.1080/10986061003717476

##### The impact on final year pre-service secondary teachers of a unit in teaching literacy and numeracy across the curriculum

White, Paul and Cranitch, Maya. (2010) The impact on final year pre-service secondary teachers of a unit in teaching literacy and numeracy across the curriculum.*Australian Journal of Teacher Education.*35(7), pp. 54 - 63. https://doi.org/10.14221/ajte.2010v35n7.5

##### Teacher Education for Sustainability (EfS): Drivers and blockers to embedding EfS across a primary teacher education course

Wilson, Sue. (2010) Teacher Education for Sustainability (EfS): Drivers and blockers to embedding EfS across a primary teacher education course.*Conference Handbook & Abstracts.*Australia: Australian Teacher Education Association. pp. 1 - 10

##### NAPLAN: A springboard for improving numeracy learning outcomes

White, Paul, Anderson, Judy and Harte, Jan. (2010) NAPLAN: A springboard for improving numeracy learning outcomes.*Reflections (North Ryde) (print version).*35(1), pp. 16 - 19.

##### "Better You Than Me": Mathematics Anxiety and Bibliotherapy in Primary Teacher Professional Learning

Wilson, Sue. (2009) "Better You Than Me": Mathematics Anxiety and Bibliotherapy in Primary Teacher Professional Learning. 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 (MERGA).*Palmerston North, New Zealand: Mathematics Education Research Group of Australasia. pp. 603 - 610

##### Critical numeracy and abstraction: percentages

White, Paul, Mitchelmore, Michael, Faragher, Rhonda Muriel and Wilson, Sue. (2009) Critical numeracy and abstraction: percentages.*Australian Primary Mathematics Classroom.*14(1), pp. 4 - 8.

##### The crims (context rich integrated mathematics and science) projects

Wilson, Sue. (2008) The crims (context rich integrated mathematics and science) projects.*Reflections (North Ryde) (print version).*33(1), pp. 31 - 33.

##### Teaching percentages: Professional learning in three regional Catholic schools

White, Paul, Mitchelmore, Michael, Wilson, Sue and Faragher, Rhonda. (2008) Teaching percentages: Professional learning in three regional Catholic schools.*Journal of Catholic School Studies.*80(2), pp. 55 - 62.

##### Teaching mathematical concepts :Instructions for abstraction

Mitchelmore, Michael and White, Paul. (2008) Teaching mathematical concepts :Instructions for abstraction. In Mogens Niss (Ed.).*Proceedings of the 10th International Conference on Mathematical Education.*Roskilde, Denmark: IMFUFA. pp. 1 - 15

##### Bibliotherapy: Utilising mathematics anxiety to improve pre-service teachers' self-concepts as learners and teachers of mathematics

Wilson, Sue. (2008) Bibliotherapy: Utilising mathematics anxiety to improve pre-service teachers' self-concepts as learners and teachers of mathematics.*Reflections (North Ryde) (print version).*33(1), pp. 73 - 75.

##### 'The factor that makes us more effective teachers': Two pre-service primary teachers' experience of bibliotherapy

Wilson, Sue and Thornton, Steve. (2008) 'The factor that makes us more effective teachers': Two pre-service primary teachers' experience of bibliotherapy.*Mathematics Teacher Education and Development.*9, pp. 21 - 35.

##### A new approach to teaching percentages

White, Paul and Wilson, Sue. (2008) A new approach to teaching percentages.*Reflections (North Ryde) (print version).*33(1), pp. 15 - 18.

##### Sustainable assessment and lifelong learning: Standards for excellence and the development of teacher identity

Wilson, Sue Anne and Thornton, Steve. (2007) Sustainable assessment and lifelong learning: Standards for excellence and the development of teacher identity. In In .s Frankl and Steve (Ed.).*Enhancing Teaching and Learning through Assessment: Deriving an Appropriate Model*pp. 128 - 137 Assessment Resource Centre, Hong Kong Polytechnic University.

##### My struggle with maths may not have been a lonely one: Bibliotherapy in a teacher education number theory unit

Wilson, Sue. (2007) My struggle with maths may not have been a lonely one: Bibliotherapy in a teacher education number theory unit. In J. Watson and N. Beswick (Ed.).*Mathematics: Essential Research, Essential Practice. Proceedings of the 30th Annual conference of the Mathematics Education Research Group of Australasia..*Hobart, Australia: Mathematics Education Research Group of Australasia. pp. 816 - 823

##### Percentages as Part Whole Relationships

White, Paul, Wilson, Sue, Faragher, Rhonda and Mitchelmore, M.. (2007) Percentages as Part Whole Relationships. 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..*Hobart, Australia: Mathematics Education Research Group of Australasia. pp. 805 - 814

##### Teaching Ratio and Rates for Abstraction

Mitchelmore, Mike, White, Paul and McMaster, Heather. (2007) Teaching Ratio and Rates for Abstraction. In Jane Watson and Kim 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. 503 - 512

##### The context rich integrated maths and science (CRIMS) projects

Wilson, Sue. (2007) The context rich integrated maths and science (CRIMS) projects. In K. Milton, H. Reeves and T. Spencer (Ed.).*Mathematics: Essential for learning, essential for life Proceedings of the 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc..*Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 396 - 403

##### To heal and enthuse: Developmental bibliotherapy and pre-service primary teachers' reflections on learning and teaching mathematics

Wilson, Sue and Thornton, Steve. (2006) To heal and enthuse: Developmental bibliotherapy and pre-service primary teachers' reflections on learning and teaching mathematics. In P. Grootenboer, R. Zevenbergen and M. Chinnappan (Ed.).*Identities; Cultures and Learning Spaces: Proceedings of the 29th Annual Conference of the Mathematics Education Research Group of Australasia.*Sydney, Australia: Mathematics Education Research Group of Australasia. pp. 35 - 44

##### The Teaching and Learning consortium :a field based model for preservice teacher education

White, Paul, Moran, Wendy Kay and Long, Janette Adele. (2006) The Teaching and Learning consortium :a field based model for preservice teacher education. In Ruth Jeffery, Elizabeth Wright and Rebecca Feldman (Ed.).*Australian Association for Research in Education 2006 Conference Papers.*Melbourne,Australia: Australian Association for Research in Education. pp. 1 - 9

##### If we don't shout loudly: We might be forgotten

Brady, Josephine, McLoughlin, Catherine, Wilson, Sue Anne and Arnold, Stephen Mark. (2006) If we don't shout loudly: We might be forgotten. In In T. Lyons (Ed.).*Science; ICT and Mathematics Education in Rural and Regional Australia*pp. 88 - 99 University of New England.

##### Development of a model to advance the uptake of e-portfolios for undergraduates in teacher education and registered nurse preparation :An exemplar of best practice

White, Paul, Hardy, Jennifer Lynette and Dennis, Christine. (2006) Development of a model to advance the uptake of e-portfolios for undergraduates in teacher education and registered nurse preparation :An exemplar of best practice. In Elaine Pearson and Paul Bohman (Ed.).*Proceedings of Ed-Media 2006: World Conference on Educational multimedia; hypermedia and telecommunications.*Norfold,USA: Association for the Advancement of Computing in Education. pp. 248 - 253

##### Using a schematic model to represent influences on ; and relationships between; teachers' problem-solving beliefs and practices

White, Paul, Anderson, Judy and Leder, Gilah. (2005) Using a schematic model to represent influences on ; and relationships between; teachers' problem-solving beliefs and practices.*Mathematics Education Research Journal.*17(2), pp. 9 - 38.

##### Quality pedagogy and teaching in K-12 mathematics

White, Paul. (2005) Quality pedagogy and teaching in K-12 mathematics. In M.oupland, 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. 261 - 267

##### The Year in which my Love of Maths Changed: Pre-service primary teachers' self-image as mathematicians

Wilson, Sue and Thornton, Steve. (2005) The Year in which my Love of Maths Changed: Pre-service primary teachers' self-image as mathematicians. In M. Coupland, J. Anderson and T. Spencer (Ed.).*Making Mathematics Vital Proceedings of the Twentieth biennial conference of the Australian Association of Mathematics Teachers Inc..*Adelaide, Australia: Australian Association of Mathematics Teachers. pp. 268 - 275

##### I am really not alone in this anxiety: Bibliotherapy and pre-service primary teachers' self-image as mathematicians

Wilson, Sue and Thornton, Steve. (2005) I am really not alone in this anxiety: Bibliotherapy and pre-service primary teachers' self-image as mathematicians. In P. Clarkson, A. Downton and D. Gronn (Ed.).*MERGA 28: Building connections: Research theory and practice. Proceedings of the annual conference held at RMIT Melbourne 7th - 9th July; 2005..*Sydney, Australia: Mathematics Education Research Group of Australasia. pp. 791 - 798

##### Teaching Percentage as a Multiplicative Relationship

White, Paul and Mitchelmore, Michael. (2005) Teaching Percentage as a Multiplicative Relationship. In Philip Clarkson et al (team from Flagship of ACU) (Ed.).*Building Connections Research Theory and Practice: Proceedings of the 28th Annual Conference.*Melbourne, Australia: Deakin University Press. pp. 783 - 790

##### Blended learning

McDonald, Lorraine and White, Paul. (2005) Blended learning. In J. Clark and M. Maguire (Ed.).*Proceedings of the 12th International Study Association on Teachers and Teaching.*Sydney, Australia: Australian Catholic University. pp. 1 - 8

##### Background Knowledge and connectedness :The Case of Mathematics

White, Paul and Mitchelmore, Michael. (2004) Background Knowledge and connectedness :The Case of Mathematics. In R. Putt, M. Faragher and M. McLean (Ed.).*Proceedings of 27th annual conference of the Mathematics education Research Association of Australasia.*Melbourne,Australia: Mathematics Education Research Group of Australasia. pp. 589 - 596

##### Problem solving in the teaching and learning of mathematics

White, Paul and Anderson, Judy. (2004) Problem solving in the teaching and learning of mathematics. In In B. Perry, G. Anthony and C. Diezmann (Ed.).*Research in mathematics education in Australasia: 2000-2003*pp. 127 - 150 Post Pressed.

##### Pentimals; or why 10 is a better base than 5

White, Paul. (2004) Pentimals; or why 10 is a better base than 5.*Australian Mathematics Teacher.*60(4), pp. 20 - 24.

##### The Influence of Perceived Constrains on Teachers' Problem-Solving Beliefs and Practices

White, Paul, Sullivan, Peter and Anderson, Judy. (2004) The Influence of Perceived Constrains on Teachers' Problem-Solving Beliefs and Practices. In R. Putt, M. Faragher and M. McLean (Ed.).*Proceedings of the 27th annual conference of the Mathematics Education Research Association of Australasia.*Melbourne,Australia: Mathematics Education Research Group of Australasia. pp. 39 - 46

##### Abstraction in mathematics and mathematics learning

White, Paul and Mitchelmore, Michael. (2004) Abstraction in mathematics and mathematics learning. In M. J. Hoenes 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. 329 - 336

##### Professional development: Mathematical content versus pedagogy

White, Paul, Mitchelmore, Michael, Branca, N. and Maxon, M.. (2004) Professional development: Mathematical content versus pedagogy.*Mathematics Teacher Education and Development.*6, pp. 49 - 60.

##### Teaching angles by abstraction from physical activities with concrete materials

Mitchelmore, Michael and White, Paul. (2003) Teaching angles by abstraction from physical activities with concrete materials. In N. Pateman, B. 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. 403 - 410

##### Count me in too and the basic skills test in NSW

Mitchelmore, Michael and White, Paul. (2003) Count me in too and the basic skills test in NSW. In L. Bragg, C. Campbell and G. Herbert (Ed.).*Mathematics Education Research: Innovation; Networking opportunity.*Melbourne, Victoria, Australia: Mathematics Education Research Group of Australasia. pp. 515 - 522

##### Teaching and learning in mathematics by abstraction

White, Paul and Mitchelmore, Michael. (2002) Teaching and learning in mathematics by abstraction. In In David Tall and Michael Thomas (Ed.). pp. 235 - 256 Post Pressed.##### Student difficulties in abstracting angle concepts from physical activities with concrete materials

Mitchelmore, Michael, Prescott, Anne and White, Paul. (2002) Student difficulties in abstracting angle concepts from physical activities with concrete materials. In B. Barton, K. Irwin and M. Pfannkuck (Ed.).*Mathematics Education in the South Pacific: Proceedings of the 25th Annual Conference of the Mathematics Education Research Group of Australiasia.*Auckland, New Zealand: Mathematics Education Research Group of Australasia. pp. 583 - 591