**Topics:**

## Anne Watson's publications

**Unclassified presentations**

Finding Meno, MA conference 2016

Watson, A. & Mason, J. (2018) A take 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.

**Books**

Rowe, D. and Watson, A. (forthcoming) (eds) Faith and experience in education: Essays from Quaker perspectives. (London: Trentham Publishers).

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

**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)

2018 Problem solving variation and mastery: the acoustic version (with others)

**Adolescence and mathematics**

**Presentations and workshops**

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

Adolescent learning and secondary mathematics, presentation at Canadian Mathematics Education Study Group, Quebec, Universite Laval 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

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)

(see also Adolescence)

**Workshops and presentations**

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.

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

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**

Watson, A., Ayalon, M., & Lerman, S. (2017). Comparison of students’ understanding of functions in classes following English and Israeli national curricula.

*Educational Studies in Mathematics*, (0nline) 1-18.

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

Crisp, R., Inglis, M., Mason, J. and Watson, A. (2012) Individual differences in generalization strategies.

*Research in Mathematics Education*14(3) 291-292 DRAFT

**Key Understandings in Mathematics**Workshops and keynotes**

Key understandings BCME 2010

Key understandings AMET 2010

Nuffield study ACME 2010

Key understandings NAMA 2009

**Writings**

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)

**Mathematics departments**

**Workshops and presentations**

Changes in mathematics teaching 2009

Autonomous change 2008

**Papers**

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, 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**

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

**New Curriculum 2013**

**Workshops and professional presentations**

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

**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**

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**

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**

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**

- Presentation at ICME 13 2016
- Powerpoint for presentation at ICME 13 2016
- Questioning in mathematics 2013
- Embedding enrichment 2013
- Task design workshop Singapore 2012
- Mathematical thinking and task design 2012
- Toulouse design workshop 2010
- DfE tasks 2010
- Task design TSG 34 ICME 2008
- Mathematically powerful task design 2008
- Good tasks and good questions 2007
- Designing and using tasks effectively

**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**

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 2016

What varies and what stays the same Middlesex 2015

Enacting variation theory 2014

**Papers**

Watson, A. (2017) Pedagogy of variation. In R. Huang and Y. Li (eds) Teaching and learning mathematics through variation. (pp. 85-106) Rotterdam: Sense publishers.

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

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