April 9 2021: Book Launch of Care in Mathematics Education  Zoom Audio
April 14th: What school mathematics can be really. Keynote at MA conference 2022.
April 3rdJoint Conference Warwick Number

Topics:

Anne Watson's publications

Zoom Audio
Comments on cognitive load theory and recent government papers
DfE Early Career Framework comments on the background research
Draft Ofsted guidance for maths: four maths lessons
Comments on Sweller, van Merrienboer and Paas' 2019 CL update


Unclassified presentations
Finding Meno, MA conference 2016
Presentation to Altius conference, Oxford 2018
Connecting concepts: clarity, caring and staying human. Keynote address for Maths Mastery conference, Feb 2019.


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Books
2021 "Care in Mathematics Education: Alternative educational spaces and practices" published by Palgrave Macmillan
www.palgrave.com/gp/book/9783030641139

Bestsellers are: Questions & Prompts for Mathematical Thinking and Thinkers, both published by Association of Teachers of Mathematics

Rowe, D., & Watson, A. (2018). Faith and Experience in Education: Essays from Quaker Perspectives. Trentham Books: London
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Watson, A. and Ohtani, M. (2015) (Eds.) Task Design in Mathematics Education: An ICMI study.  Heidelberg: Springer. (click here for associated papers)

Watson, A.,  Jones, K. and Pratt, D. (2013)  Key Ideas in Teaching Mathematics: Research-based guidance for ages 9-19 (Oxford University Press + Nuffield website)

Prestage, S., Watson, A., De Geest, E. (2007) Building Learning in Mathematics. London: Continuum.

Watson, A. and Winbourne, P. (eds.) (2007) New Directions for Situated Cognition in Learning Mathematics, pub. Springer

Watson, A. (2006) Raising Achievement in Secondary Mathematics Maidenhead, Open University Press

Watson, A. and Mason, J. (2005) Mathematics as a constructive activity: learners generating examples. Lawrence Erlbaum Publishers.

Watson, A., Houssart, J. and Roaf, R. (eds.) (2005): Supporting Mathematical Thinking pub. David Fulton.

Bills,C., Bills, L., Watson, A., and Mason, J. (2004) Thinkers. Derby, UK: Association of Teachers of Mathematics

Morgan, C., Watson, A. and Tikly, C. (2004)Teaching School Subjects, 11-19: Mathematics. London:RoutledgeFalmer

Watson, A., De Geest, E., & Prestage, S.  (2003) Deep Progress in Mathematics: Report of the Improving Attainment in Mathematics Project. published by University of Oxford Department of Educational Studies.

Ollerton, M. and Watson, M. (2001) Inclusive Mathematics 11-18, Continuum, London.

A. Watson (ed.) (1998) Situated Cognition and the Learning of Mathematics, CMER/QED Books

A. Watson and J. Mason: (1998) Questions and Prompts for Mathematical Thinking, Association of Teachers of Mathematics, Derby

Jaworski, B. and Watson, A. (1994) (eds.)  Mentoring in Mathematics Teaching Falmer, London
London:RoutledgeFalmer

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​​Professional articles in Mathematics Teaching
MT Archive
1987     Mathematics and Dance
1995     Differentiation
            ICME and teachers
2000    Student-generated examples
2007     Exploration
             GCSE coursework
             Habits of mind 
             Instilling thinking
             Powers of three
             Surprise
             My mistakes
             Thenwhats
             Variation
2008    Notation
             Fragments and coherence
2009    Seeing, convincing, proving
2010     How I learn
             Immersion in multiplicity
             Key understandings 1,2 & 3
             Rich tasks
             Self in professional judgement
2012     Division
2013     Tasks part 1
2014     Consolidation
2015     Incoherent role of sequences
            Tasks in classrooms
2017     Values in the mathematics classroom
2017     Variation analysing and designing tasks   (with others)
2017     Problem solving, mastery, variation. Anne Watson, Nick Andrews, Helen Drury, Jenni Ingram, Sue Lowndes, Jude Stratton, Gabriel Stylianides, pp. 32-35 Mathematics Teaching 259 Dec 2017
… and more, see ATM website
Adolescence and mathematics​

Presentations and workshops

Adolescent learning and secondary mathematics, presentation at Canadian Mathematics Education Study Group, Quebec, Universite Laval 2007
 
Adolescents and mathematics 2011
Adolescence and secondary mathematics 2008
Learning mathematics in adolescence 2008
Adolescence and shifts 2007
Adventure and adolescence 2007 (ppt)
Adventure and adolescence 2007 (paper)
Mathematical thinking in adolescence 2007

 
Published papers
 
2007     Watson, A.: Adolescence and Secondary Mathematics. Proceedings of  the British Society for Research into Learning Mathematics 27(3)  pp. 108-113 Northampton: University of Northampton.
2010  Watson, A. Shifts of mathematical thinking in adolescence. Research in Mathematics Education. 12(2) 133-148. (draft)
2008     ‘Mathematics and adolescence: not so much a battleground, more a merging of the ways’ Ontario Mathematics Gazette. 47(1) 21-23.
Algebra

Presentations and professional publications

Non-computational arithmetic 2014
What's X got to do with it? (NRich) 2014
Algebra keynote 2013
Algebra workshops 2013
Working algebraically 2012
Calculation

Mental and written calculation workshop 2013
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Watson, A. (2013) Reflecting on calculation: when drilling becomes fulfilling. In B.Kaur (ed.) Nurturing reflective learners in mathematics. pp.151-166. Singapore: World Scientific. (draft)
Deep Progress
(see also Adolescence)

Workshops and presentations
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Deep progress 2007
Deep progress 2006

Papers

Watson, A. (2005) Deep progress in mathematics. Paper presented at Mathematics Teaching Conference, Moray House, Edinburgh, November 2005

Watson, A. (2006) Deep progress in mathematics: making a difference.  Scottish Mathematical Council

Watson, A. & De Geest, E. (2005) Principled Teaching for Deep Progress: Improving Mathematical Learning Beyond Methods and Materials.  Educational Studies in Mathematics 58, 209-234. ISSN 0013-1954. DRAFT

Watson, A., De Geest, E., & Prestage, S.  (2003) Deep Progress in Mathematics: Report of the Improving Attainment in Mathematics Project. published by University of Oxford Department of Educational Studies. ISBN 0903535688
​Exemplification

Workshops and professional writing
 
Example spaces (Matematikbiennalen) 2008
Exploring example spaces 2006
The role of examples in mathematical reasoning 2013
 
Papers
 
Sandefur, J., Mason, J., Stylianides, G. J., & Watson, A. (2013). Generating and using examples in the proving process. Educational Studies in Mathematics, 83(3), 323-340. and Sandefur, J., Mason, J., Stylianides, G. J., & Watson, A. (2013). Erratum to: Generating and using examples in the proving process. Educational Studies in Mathematics, 84(3), 487-487.

Watson, A., Sandefur, J., Mason, J., & Stylianides, G. (2013) The use of examples to provide representations in proving. In Lindmeier, A. M. & Heinze, A. (Eds.). Proceedings of the 37th Conference of the International 4 - 377 Group for the Psychology of Mathematics Education, Vol. 4, pp. 377-384. Kiel, Germany: PME

Watson, A. & Chick, H. (2011) Qualities of examples in learning and teaching.  ZDM: The international journal in mathematics education 43(3) 283-294 (draft)

Sinclair, N., Watson, A., Zazkis, R. and Mason, J. (2011) The structure of personal example spaces. Journal of Mathematical Behavior. 30, 291-303. DRAFT.

Watson, A. and Shipman, S.(2008) Using learner-generated examples to introduce new concepts. Educational Studies in Mathematics. 69: 97-109. DRAFT

Bills, L. & Watson, A (2008) Editorial introduction. Special Issue: Role and use of exemplification in mathematics education Educational Studies in Mathematics. 69: 77-79

Watson, A. and Bills, L. (eds.) (2008) The Role of Examples in Mathematics Education. Special issue of Educational Studies in Mathematics. 69.
 
Bills, L., Dreyfus, T., Mason, J., Tsamir, P., Watson, A., Zaslavsky, O. (2006) Exemplification in mathematics education. in Novotna, J. Proceedings of 30th Conference of the International Group for the Psychology of Mathematics Education. (pp. 125-154) Charles University, Prague
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Sinclair, N., Watson, A., Zazkis, R., (2005) Learner-generated examples In Proceedings of the 2004 Annual Meeting of the Canadian Mathematics Education Study Group. pp.45-53

Watson, A. & Mason, J. (2002) Extending example spaces as a learning/teaching strategy, in A.Cockburn and E.Nardi (eds.)Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Education. Pp.4-377-4-384, University of Norwich.

Watson, A. and Mason, J.(2002). 'Student-generated Examples in the Learning of Mathematics' Canadian Journal of Science, Mathematics and Technology Education 2(2) pp.237-249

Mason, J. & Watson, A. (2001) 'Stimulating Students to Construct Boundary Examples' Questiones Mathematicae  Suppl. 1 pp.123-132.

Watson, A. and Mason, J. (2000) 'Student generated examples'  Mathematics Teaching 172, pp.59-62

Sinclair, N., Zazkis, R.,  Watson, A. (2004)  ‘Learner generated examples’ Report of  CMESG Working Group on Exemplification.

Mason, J. & Watson, A. (1999) 'Getting Students to Create Boundary Examples' Teaching and Learning Undergraduate Mathematics Newsletter 11, republished in Learning and Teaching Support Network Centre for Mathematics, Statistics and Operations Research Newsletter, 2001 pp.9-11

Functions

Workshops and professional writing

Functions discussion at BSRLM 2011
Comparison of Students’ Understanding of Functions Israel/England 2014
Functions workshop notes 2014 
​Dysfunctioning with functions (MEI 2017)
 
Papers
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​Watson, A., Ayalon, M., & Lerman, S. (2018). Comparison of students’ understanding of functions in classes following English and Israeli national curricula. Educational Studies in Mathematics, 97(3), 255-272.

Ayalon, M., Watson, A. & Lerman, S. (2016) Students' conceptualisations of function revealed through definitions and examples. Research in Mathematics Education. DRAFT do not quote

Ayalon, M., Watson, A. & Lerman, S.  (2016) Reasoning about variables in 11 to 18 year olds: informal, schooled and formal expression in learning about functions. Mathematics Education Research Journal DRAFT do not quote.

Ayalon, M., Watson, A., & Lerman, S. (2015). Progression Towards Functions: Students’ Performance on Three Tasks About Variables from Grades 7 to 12. International Journal of Science and Mathematics Education, 1-21. Online DOI 10.1007/s10763-014-9611-4

Ayalon, Watson and Lerman (2015) Functions represented as linear sequential data: relationships between presentation and student responses Educational Studies in Mathematics.online DRAFT

Ayalon, M., Watson, A., and Lerman, S. (2014)  Comparison of Students’ Understanding of Functions throughout School Years in Israel and England. In Adams. G. (Ed.) Proceedings of the British Society for Research into Learning Mathematics 34(2) June 2014

Ayalon, M., Lerman, S., & Watson, A. (2013). Development of Students’ Understanding of Functions throughout School Years . Proceedings of the British Society for Research into Learning Mathematics, 33(2), 7-12.

Ayalon, M., Lerman, S., & Watson, A. (2013) Progression towards understanding functions: What does spatial generalisation contribute?. BCME-8, 16.

Ayalon, M., Lerman, S., & Watson, A. (2013). Graph-matching situations: some insights from a cross year survey in the UK. Research in Mathematics Education, 16(1) 73-74.

Watson, Anne, and Guershon Harel. (2013) "The role of teachers’ knowledge of functions in their teaching: A conceptual approach with illustrations from two cases." Canadian Journal of Science, Mathematics and Technology Education 13.2, 154-168. DRAFT
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Crisp, R., Inglis, M., Mason, J. and Watson, A. (2012) Individual differences in generalization strategies. Research in Mathematics Education 14(3) 291-292 DRAFT

 Understanding in Mathematics

Workshops and keynotes

Key understandings BCME 2010
Key understandings AMET 2010
Nuffield study ACME 2010
Key understandings NAMA 2009

Writings
Siemon, D., Horne, M., Clements, D., Confrey, J., Maloney, A., Samara, J., Tzur, R., Watson, A. (2017) Researching and using learning progressions (trajectories) in mathematics education. Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education. Pp. 109-136, Singapore.


Watson, A.,  Jones, K. and Pratt, D. (2010)  Key Ideas in Teaching Mathematics: Research-based guidance for ages 9-19 (see books above)

Watson, A. (2010) Key understandings in learning mathematics. Scottish Mathematics Council Journal.40. 14-16. 

Watson, A. (2010) Key understandings in school mathematics, 1, 2 & 3. Mathematics Teaching, 218,219,220. ATM   

Nunes, T., Watson, A. and Bryant, P (2009): Key understandings in mathematics: a report to the Nuffield Foundation. (Nuffield foundation website)

Watson, A. (2002) What does it mean to understand something?  In Haggarty, L. (ed.) Teaching Secondary School Mathematics: a Reader.  London: Routledge

Watson, A. (2002) Teaching for understanding.  In Haggarty, L. (2002) Aspects of teaching secondary mathematics.  London: Routledge

Mathematics departments 

Workshops and presentations

Changes in mathematics teaching 2009
Autonomous change 2008

Papers
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Watson, A., De Geest, E. (2014) Department-initiated change. Educational Studies in Mathematics online first. DOI 10.1007/s10649-014-9549- DRAFT

Watson, A., and De Geest, E. (2011) Learning in mathematics through sequences of microtasks: making a difference for secondary learners  International Journal of Science and Mathematics Education. 10(1), pp. 213–235. DRAFT

Beswick, K., Watson, A. & De Geest, E. (2010) Comparing theoretical perspectives for describing mathematics departments: Complexity and activity. Educational studies in mathematics. 75(2) 153-170. DOI: 10.1007/s10649-010-9248-3 DRAFT

Watson, A. and De Geest, E. (2010) Secondary Departments Making Autonomous Change. Proceedings of BCME 2010 p.130 ff.

Beswick, K., Watson, A. & DeGeest, E. (2007): Describing Mathematics Departments: The Strengths and Limitations of Complexity Theory and Activity Theory Proceedings of annual conference of Mathematics Education Research Group of Australasia. University of Tasmania, Hobart pp. 113-122
​Lessons and teaching

Workshops and professional presentations

Teaching, textbooks, tutors and tensions 2017
Teaching children to reason mathematically 2014
Progress in Mathematical Thinking 2010
Teaching mathematics mathematically 2009
Matching and patching BEAM 2009
How successful teachers structure subject matter 2008
The nature of participation accorded by tasks 2007
Trigonometry card sort
Teaching trigonometry DRAFT

Papers

 Pedagogic advice given in the development of the new mathematics curriculum for Wales, 2018.

Ingram, J. and Watson, A. (2018) But are students communicating mathematically? For the Learning of Mathematics. 38(2), 19.

Watson, A. (2008) How successful teachers structure the subject matter.

Watson, A. (2007) Framework for analysing and comparing the mathematical engagement afforded in lessons. Paper presented at Agder College Kristiansand, 17th April 2007.

Watson, A. (2006) Some difficulties in informal assessment in mathematics. Assessment in Education 13(1) 289-303

Watson, A. (2004) Red herrings: post-14 ‘best’ mathematics teaching  and  curricula . British Journal of Educational Studies ISSN 0007-1005 pp.359-376

Watson, A. (2004) Affordances, constraints and attunements in mathematical activity.  In O. McNamara and R. Barwell (eds.)  Research in mathematics Education, volume 6: papers of the British Society for Research into Learning Mathematics  pp. 23-34  ISSN 1479-4802 ISBN 0953849856  
 
Watson, A. (2003) Use of Unison Responses in Mathematics Classrooms.  In  J. Winter and S. Pope (Eds.) Research in Mathematics Education Volume 4: Papers of the British Society for Research into Learning Mathematics. pp. 35 – 49.ISBN 0953849821

De Geest, E., Watson, A and Prestage, S (2003). Thinking in ordinary lessons: what happened when nine teachers believed their failing students could think mathematically In Proceedings of 27th Conference of the International Group for the Psychology in Mathematics Education (PME), 13-18 July 2003, Honolulu, Hawaii.

Watson, A. (2002) ‘Developing Mathematical Thinking with Low Attaining Students’ in C. Bergsten (ed.) Dokumentation av 1:e Matematikbiennalen Norrkoping, Sweden pp.191-193.

Prestage, S., Watson, A., & DeGeest, E. (2002) ’Developing Ways of Being Mathematical with Low Attaining Students’; paper presented at the Annual Conference of the British Educational Research Association, University of Exeter

Watson, A., Prestage S. & DeGeest, E. (2002) ‘Moving to the Edge of the Comfort Zone: Mathematical Thinking and Strategies Used to Promote It’. Paper presented at Annual Conference of the British Educational Research Association, University of Exeter.

De Geest, E., Watson, Anne and Prestage, Stephanie (2002). Building a holistic view of mathematical thinking - data evaluation of improving attainment in mathematics project._ In: Proceedings of the British Society into the Research and Learning of Mathematics, 22(3)> pp. 19–24
 
Watson, A. (2002) ‘Mathematical Thinking and Mathematical Achievement: Research Issues’ in Proceedings on MADIF3: Third Swedish Mathematics Education Research Seminar, Norrkoping, Sweden, January 2002 pp. 9-12.

Watson, A. (2000) Chorus Response in Cape Town Schools. Proceedings of the British Society for Research into Learning Mathematics 20(3), pp. 103-108

Multiplicative reasoning

Workshops and presentations

Division workshop ATM
Division - the sleeping dragon DRAFT
Division
Division as problem solving
Multiplicative reasoning card sort

Papers

​Venkat, H., Askew, M., Watson, A. & Mason, J. (2019) Architecture of Mathematical Structure. FLM 39(1), 19-23.

​New Curriculum 2013

Workshops and professional presentations
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Making mathematics count Bristol Heads 2015
Lurking algebra 2014
Making sense of primary NC 2014
New curriculum for mathematics a personal view 2014
Opportunities in the new curriculum: Edge Hill MAST newsletter 2014
Key Ideas in NC algebra 2013
New NC role for teacher educator 2013
Reasoning in the curriculum 2013
Maths in England's schools 2012
Algebra, ratios and function summary BSRLM 2011
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Nature of learning school mathematics

Workshops and presentations

Culture and complexity 2015
What makes a difference in secondary mathematics BBO Hub 2015
Structure 2015
Pedagogy and abstract concepts 2013
Deep connections 2012
Reflecting on calculation Singapore 2012
Motivating formal geometry 2012
Alignment 2012
Drilling, filling, skilling, fulfilling Hong Kong 2011
Shifts of understanding Hong Kong 2011
PME plenary Brazil 2010
What we do when we do mathematics ATM 2010
School mathematics education in England 2010
Modes of enquiry 2009
What do we have to learn Stirling 2009
What do we have to learn (paper) 2009
Developing mathematical thinking in the curriculum 2008
Fragments and coherence 2008
Choirs and orchestras 2008

Papers

Venkat, H., Askew, M., Watson, A. & Mason, J. (2019) Architecture of Mathematical Structure. For the Learning of Mathematics. ​39(1) 13-17.

Watson, A. & Mason, J. (2018) A tale of two digital games: How discussion can augment personal narratives. In R. Zazkis & P. Herbst (eds) Scripting approaches in mathematics education: Mathematical dialogues in research and practice.  pp. 73-88. Springer Publishers.

Watson, A. & Barton, B. (2011) Teaching mathematics as the contextual application of modes of mathematical enquiry.  In T. Rowland & K. Ruthven (eds.) Mathematical knowledge in teaching. NY: Springer.pp.65-82. DRAFT

Watson, A. (2010) Shifts of mathematical thinking in adolescence. Research in Mathematics Education. 12(2) 133-148 DRAFT

Watson, A. (2008)Locating the spine of mathematics teaching. Invited plenary lecture. In M. Pinto & T. Kawasaki   (eds.) Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education. (pp. 23-40) Brazil: University of Minho Gerais.
   
Mason, Stephens and Watson (2009) Appreciating mathematical structure for all, Mathematics Education Research Journal 21(2) 10-33 DRAFT

Mason, J. & Watson, A. (2009) The Menousa. For the Learning of Mathematics 29(2) 32-37

Watson, A. (2008) School mathematics as a special kind of mathematics. Paper presented at ICMI meeting in Rome

Watson, A. (2008) School mathematics as a special kind of mathematics, DRAFT. For the Learning of Mathematics. 28(3) 3-8

Watson, A. (2008) ‘Developing and deepening mathematical knowledge for teaching: being and knowing’ paper presented at ESRC funded seminar series Mathematical Knowledge in Teaching.  Cambridge University.
 
Watson, A. (2005) Maths 14-19: Its nature, significance, concepts and modes of engagement. Invited paper presented to the Nuffield Review of 14-19 Education and Training.
Practice and research

 Workshops and professional presentations
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Why what works does not work IMA 'Barriers and Enablers' conference Glasgow 2015
Why what works does not work (paper) IMA 'Barriers and Enablers' conference Glasgow 2015
Practice and subject-specific educational research (paper) 2013
Practice and subject-specific educational research 2013
Issues in research and practice in mathematics education 2012
Classroom research: teacher-student interaction 2008
Putting research into practice 2008
Directions of research-informed PD 2007
Research impact in mathematics education
Problem-solving

Workshops and professional presentations
​
Teaching mathematics using problem solving NC 2014
Problem-solving approach to mathematics 2013
Problem-solving presentation Kerala 2013
Division and other problem solving 2011
Teacher education
Workshops and presentations

What is the teacher educator's role in improving learning ratio ... NAMA 2012

Papers
Watson, A. (2015) Paper presented at National Education Conference Papua New Guinea, University of Goroka

Stylianides, G. J. and Watson, A. (2015) The interplay between mathematics and pedagogy: Designing tasks for mathematics teacher education in I.Thompson (Ed.) (2014) Designing Tasks in Secondary Education:  Enhancing subject understanding and student engagement. London & New York: Routledge.

Watson, A. & Bills, L. (2010) Working mathematically on teaching mathematics: Preparing graduates to teach secondary mathematics. In O. Zaslavsky & P.Sullivan (eds.) Constructing knowledge for teaching secondary mathematics: tasks to enhance prospective and practicing teacher learning.  NY: Springer.pp.89-102

​Watson, A. and Mason, J. (2007) Taken-as-Shared: a review of common assumptions about mathematical tasks in teacher education. Journal of Mathematics Teacher Education 10, 4-6, 205-215.
Social justice and mathematics
​(with special reference to previously low attaining young adolescents - see also Deep Progress above)

Workshops and professional presentations
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The myth of ability PGCE session 2015
Learner differences Hong Kong 2011
Teachers' informal assessment practices - inequity 2008
Transforming learning capacity (paper)

Papers

Tresidder, G. and Watson, A. (2013) The Possibilities and Difficulties of Teaching Secondary Mathematics in All-Attainment Groups in Special Issue of FORUM for promoting 3-19 comprehensive education. DRAFT

Watson, A. (2010).  Mathematics and comprehensive ideals.  Invited paper FORUM: for promoting 3-19 comprehensive education special issue

Watson, A. (2002) 'Instances of Mathematical Thinking among Low Attaining Students in an Ordinary Secondary Classroom', Journal of Mathematical Behavior 20 pp.461-475

Morgan, C. and Watson, A. (2002) ‘The Interpretative Nature of Teachers’ Assessment of                                Students’ Mathematics: Issues for Equity’ Journal for Research in Mathematics Education. March 2002 pp.78-107

Watson, A. (2001) 'Changes in Mathematical Performance of Year 7 Pupils Who Were 'Boosted' for KS2 SATs. Paper presented at the annual conference of the British Educational Research Association, University of Lancaster

Watson, A.(2001) 'Low Attainers Exhibiting Higher-Order Mathematical Thinking' Support for Learning 16(4) Nov pp.179-183. ISSN 0268-2141.

Watson, A. (2000) 'Going Across the Grain: Mathematical Generalisations in a Group of Low Attainers'  Nordic Studies in Mathematics Education  8,1: pp. 7-20.

Watson, A. (2000) 'Mathematics Teachers as Informal Assessors: Practices, Problems and Recommendations' Educational Studies in Mathematics. 41: pp.69-91

Watson, A. (1999) ‘Paradigmatic Conflicts in Informal Mathematics Assessment as Sources of Social Inequity’ in Burton, L. (ed.) Educational Review, 50,2, pp. 105-115

Watson, A. (1998)  'Potential Sources of Inequity in Teachers' Informal Judgements about Pupils'    Mathematics' in P. Gates (ed.) Proceedings of the First International Mathematics Education and Society Conference, Nottingham ISBN 095338120X,pp.337-344

​Watson, A. (1995) ‘Evidence for Pupils' Achievements in Mathematics’, For the Learning of Mathematics, Vol 15/1, pp.16-20
Task design

Workshops and professional presentations
Publications
Watson, A. (2016). Parameters for practice and research in task design in mathematics education. Paper presented at TSG 36: Task Design 13th International Congress in Mathematical Education, Hamburg July 25th.

Stylianides, G.,  Sandefur, J., & Watson, A. (2016) Mathematical induction and explanation. Journal of Mathematical Behavior DRAFT do not quote

Watson, A. and Ohtani, M. (2015) Themes and issues in mathematics education concerning task design: Editorial introduction. In Watson, A. and Ohtani, M. (eds.) Task Design in Mathematics Education: An ICMI study. (pp. 3-18 ) Heidelberg: Springer

Watson, A. and Ohtani, M. (2015) (Eds.) Task Design in Mathematics Education: An ICMI study.  Heidelberg: Springer.

Watson, A. and Thompson, D. (2015) Design issues related to text-based tasks. In Watson, A. and Ohtani, M. (eds.)
Task Design in Mathematics Education: An ICMI study.  (pp.143-190)  Heidelberg: Springer.

Stylianides, G. J. and Watson, A. (2015) The interplay between mathematics and pedagogy: Designing tasks for mathematics teacher education in I.Thompson (Ed.) (2014) Designing Tasks in Secondary Education:  Enhancing subject understanding and student engagement. London & New York: Routledge.

McDonald, S., and Watson, A. (2010) What's in a task: generating rich mathematical activity (NCSL booklet)

Watson, A. (2008) Different versions of the 'same' task: continuous being and discrete action. Paper presented at MADIF 2008.

Watson, A. (2008). Task transformation is the teacher’s responsibility.  In O. Figueras, J. Cortina, S. Alatorre, T. Rojano & A. Sepulveda (eds.) Proceedings of International Group for the Psychology of Mathematics Education, vol. 1 pp.147-154. Morelia, Mexico

Watson, A. and Sullivan, P. (2008) Teachers learning about tasks and lessons. In D. Tirosh & T. Wood (ed.) International Handbook of Mathematics Teacher Education Volume 2. pp.109-134. Rotterdam: Sense Publishers.

Watson, A. (2007) The nature of participation afforded by tasks, questions and prompts in mathematics classrooms. Research in Mathematics Education 9(1).111-126.

Watson, A. (2004) Dance and Mathematics: Engaging Senses in Learning.  Australian Senior Mathematics Journal 19(1) pp. 16

​Watson, A. (2004) Dance and mathematics: power of novelty in the teaching of mathematics.  paper presented at ICME 2004.
Variation
Workshops and professional presentations

How using variation can turn procedural practice into conceptual understanding (AKU 2021)
Variation unplugged in primary maths (2018)
Glow Hub Variation Workgroup booklet (2018)
Variation/invariance: pupils’ experience: Edge Hill University March 2018
BCME variation slides
Variation cut loose (OUP) 2017 variation_cut_loose.pptx
​Variation and mastery (NCETM) 2016
Variation: the acoustic version (GlowMaths Hub Gloucestershire June 2017)
Analysis of some primary lesson segments using variation 2017
Thoughts about variation and example spaces 2017
atm_workshop_problems.docx
what_varies_and_what_stays_the_same_ppt_middlesex_2015.pptx
Enacting variation theory 2014

Papers
​

Al-Murani, T., Kilhamn, C., Morgan, D., & Watson, A. (2018). Opportunities for learning: the use of variation to analyse examples of a paradigm shift in teaching primary mathematics in England. Research in Mathematics Education, 21(1) 6-24.
​
Watson, A. (ed.) (2018) Variation in mathematics: A collection of writings from ATM Mathematics Teaching. Association of Teachers of Mathematics, Derby, UK.


Al Murani, T. , Kilhamn, C. , Morgan, D. & Watson, A. (2017) Observations about some UK primary teaching tht has been influenced by the mastery agenda. Paper presented at BSRLM June 10th Oxford.

Watson, A. (2016) Pedagogy of variations: synthesis of various notions of variation pedagogy. in Huang, R. & Li, Y. (eds.) Teaching and learning mathematics through variation. p85-105. Rotterdam: SensePublishers

Watson, A. (2014) Mathematical instruction practices and classroom environment in China: a preface. In Li, Y. and Huang, R. (eds.) How Chinese teach mathematics and improve teaching. pp.101-104. London: Routledge.

Al-Murani, T. and Watson, A.  (2009) Exchange systematicity: interactional dynamics of variation in mathematics lessons. Paper presented to Variation Theory SIG at EARLi conference, Amsterdam

Kullberg, A., Watson, A. & Mason, J. (2009) Variation within, and covariation between, representations. PME Thessaloniki

Watson, A. and Mason, J. (2007) Variation and mathematical structure. Mathematics Teaching 194.

Watson, A. & Mason, J.  (2006) Seeing an Exercise as a Single Mathematical Object: Using Variation to Structure Sense-Making. Mathematical Thinking and Learning. 8(2) pp.91-111
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Mason, J. & Watson, A. (2005) Mathematical Exercises: what is exercised, what is attended to, and how does the structure of the exercises influence these? Invited symposium paper presented at EARLi, University of Cyprus, August 2005