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.
AuthorsWhite, Paul, Wilson, Sue and Mitchelmore, Michael
Year2012
JournalSoutheast Asian Mathematics Education Journal
Journal citation2 (2), pp. 11 - 30
ISSN2089-4716
Page range11 - 30
Research GroupSchool of Education
Permalink -

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

Log in to edit
  • 133
    total views
  • 0
    total downloads
  • 6
    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

Bibliotherapy to address mathematics anxiety in primary pre-service teachers
Wilson, Sue Anne. (2019). Bibliotherapy to address mathematics anxiety in primary pre-service teachers [PhD Thesis]. Australian Catholic University School of Education https://doi.org/10.26199/acu.8vyv9
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. pp. 313-320
"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.
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.). 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. 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.). 30th annual conference of the Mathematics Education Research Group of Australasia. Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 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.). 30th annual conference of the Mathematics Education Research Group of Australasia. Wrest Point Hotel Casino, Hobart, Tasmania, Australia 02 - 06 Jul 2007 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.). 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. 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. Making mathematics vital : The twentieth biennial conference of the Australian Association of Mathematics Teachers Inc.. Adelaide, South Australia: Australian Association of Mathematics Teachers. pp. 268-274
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