Publications and Reports John Mason

Of passing interest:
 
   for QCA reports (now out of print) on algebra, creativity and proof, see 2002

1972  1979  1980   1982  1984   1985   1986    1987   1988  1989  
1990  1991   1992   1993  1994   1995   1996   1997   1998  1999
2000 2001  2002  2003  2004  2005  2006  2007  2008  2009 2010
2011 2012 2013 2014

2014

Mason, J. (2014 in press). Uniqueness of Patterns Generated by Repetition. Maths Gazette. March 2014.

2013

Mason, J. (2013). Working with the Whole Psyche: nurturing reflective learners. In B. Kaur (Ed.) Nurturing Reflective learners in Mathematics. Yearbook 2013 Association of Mathematics educators. Singapore: World Scientific & AME.

Monaghan, J. & Mason, J. (2013). Exploring the notion Ôcultural affordanceÕ with regard to mathematics software. In C. Smith(Ed) Proceedings of the British Society for
 Research into Learning Mathematics. 32(3) p132-138. ISSN 1463-6840

Mason, J. (2013). Exchange as a (the?) core idea in school mathematics. In C. Smith(Ed) Proceedings of the British Society for
Research into Learning Mathematics. 32(3) p126-131. ISSN 1463-6840

Mason, J. (2013). Phenomenal Mathematics
 as a Source of Pedagogic Strategies for Learning from E-Screens. In M. Inprasitha (Ed.) Proceedings of the 6th East Asia Regional Conference on Mathematics Education (EARCOME6) Phuket, Thailand. p2-12.

Sandefur, J. & Mason, J. (in press). Circular Inclusion. College Math Journal.

2012

Mason, J. (2012). What is Arithmetic? In M. van Zanten (Ed.) Opbrengstgericht Onderwijs Ð Rekenen! Ð Wiskiunde?. Proceedings of the 30th PANAMA Conference. Utrecht: Fisme, Universiteit Utrecht. P11-24

Sandefur, J. Mason, J. Stylianides, G. & Watson, J. (submitted). Reaching for the Familiar: Example Generation in the Proving Process. Educational Studies in Mathematics. DOI 10.1007/s10649-012-9459-x.

Mason, J. (2012). Unders¿gelser som en made at studere matematik pŒ. Matematik i skolen. 14 (4) p60-66.

Ryve, A. Nilsson, P. & Mason, J. (2012). Establishing Mathematics for Teaching Within Classroom Interactions in Teacher Education. Educational Studies in Mathematics. 81 (1) p1-14.

Mason, J. (2012). You Can Lead a Horse to WaterÉ: Issues in Deepening Learning Through Deepening Teaching. In S. Hegedus & J. Roschelle (Eds.) Democratizing Access to Important Mathematics through Dynamic Representations: Contributions and Visions from the SimCalc Research Program. Berlin: Springer-Verlag. ISBN 978-94-007-5695-3

Mason, J. (2012). Having Good Ideas Come-to-Mind: contemporary P—lya-based advice for students of mathematics. In M. Badger, C. Sangwin & T. Hawkes (Eds.) with R. Burn, J. Mason & S. Pope (contributors). Teaching Problem-Solving in Undergraduate Mathematics. Loughborough: National HE STEM Centre.

Jones, C. & Mason, J. (2012). Experiential Learning. Mathematics Teaching 229 p17-20.

Mason, J. (2012). 3-D Proofs of 2-D Theorems. Mathematics Teaching 229 p38-41.

Mason, J. (2012). On Knowing in Mathematics. CULMS 5 p29-39.

Scataglini-Belghitar, G. & Mason, J. (2012). Establishing Appropriate Conditions: students learning to apply a theorem. IJSME 10(4) p927-953. DOI: 10.1007/s10763-011-9305-0. (http://www.springerlink.com/content/411675196kgv799v/)

2011

Mason, J. (2011). Learning From Acting On Objects. In A. Oldknow & C. Knights (Eds.). Mathematics Education with Digital Technology. Education & Digital Technology. p84-100. London: Continuum.

Mason, J. (2011). Trabahano com Padr›es. In P. Palhares, A. Gomez & A. Amaral (Eds.). Complementos de Matem‡tica para professors do Ensino B‡sico. p215-234.

Mason, J. (2011). Mean-Invariant Polynomial Intersections: a case study in generalization Technology, Knowledge and Learning Journal 16 (2) p183-192. DOI: 10.1007/s10758-011-9185-y

Mason, J. (2011). Classifying & Characterising: provoking awareness of the use of a natural power in mathematics and mathematics pedagogy. In O. Zazlavsky & P. Sullivan (Eds.) Constructing Knowledge for Teaching Secondary Mathematics. p39-56. Springer: London.

Scataglini-Belghitar, G. & Mason, J. (2010). Teaching Takes Place In Time, while Learning Takes Place Over time: maturation of mathematicians seen as phase transitions in Te Ara Mokoroa (the long abiding path of knowledge). In J. Hannah (Ed.) Delta Communications.

Mason, J. (2011). A Generalization of the Parabolic Chord Property. The College Mathematics Journal 42 (4) p326-328.

Sinclair, N. Watson, A. Zazkis, R. & Mason, J. (2011). The Structuring of Personal Example Spaces. Journal of Mathematical Behavior 30 (4) p291-303.

Mason, J. (2011). Att ta vara pŒ barns fšrmŒgor (Making use of childrenÕs powers to think mathematically). In B. Bergius, G. Emanuelsson, L. Emmanuelsson & R. Ryding (Eds.) NŠmnaren TEMA 8. Trondheim: Nationellt Centrum fšr Matematikutbildning p13-20.

Mason, J. (2011). Envisioning What Is Possible in the Teaching and Learning of Algebra. In Jinfa Cai & Eric Knuth (Eds). Early Algebraization: a global dialogue from multiple perspectives. Advances in mathematics Education, Springer p557-578.

Mason, J. (2011). Mathematics Education: theory, practice & memories over 50 years. For the Learning of Mathematics 30 (3) p3-9.

Mason, J. (2011). Phenomenology of Example Construction. ZDM 43 (2) p195-204. DOI 10.1007/s11858-010-0297-y

Mason, J. (2011). Noticing: roots and branches. In M. Sherin & R. Philips. Mathematics Teacher Noticing:  Seeing Through TeachersÕ Eyes. p.35-50. Mahwah: Erlbaum.

2010

*2010 Mason, J. (2010).  Effective Questioning and Responding in the Mathematics Classroom
    (revised and augmented version of Mason, J. 2002, Minding Your Qs and Rs: effective questioning and responding in the mathematics classroom, in L. Haggerty (Ed.) Aspects of Teaching Secondary Mathematics: perspectives on practice, RoutledgeFalmer, London, p248-258.)

Mason, J. & DeGeest, E. (2010). How an Experientially Presented Labelled-Framework Approach to Professional Development at a Distance Can Influence TeachersÕ Practice. In M. Pinto & T. Kawasaki (Eds.) Proceedings of the 34th International Conference on the Psychology of Mathematics Education. Belo Horizonte: PME Vol 3 p273-280.

Mason, J. (2010). de definitions en DŽfinition. Losanges 9 p2-5.

Mason, J. (2010). Attention and Intention in Learning About Teaching Through Teaching. In R. Leikin & R. Zazkis (Eds.) Learning Through Teaching Mathematics: development of teachers' knowledge and expertise in practice. p23-47. New York: Springer.

Mason, J. (2010). Mathematics Education: theories, practice, and memories over fifty years. In B. Davis & S. Lerman (Eds.) Mathematical Action & Structures of Noticing: studies on John MasonÕs contribution to mathematics education. Rotterdam: Sense.



2009

2009 Mason, J. & Klymchuk, S. (2009). Counter Examples in Calculus. London: Imperial College Press.

2009 Mason, J. & Houssart, J. (Eds.) (2009). Listening Figures. Stoke on Trent: Trentham.

2009  Mason, J. Watson, A. (2009). The Menousa. For The Learning of Mathematics 29 (2) p33-38.

2009  contributor to Burn, B. (2009). Coming to Know: the introduction of new concepts in undergraduate mathematics. Birmingham: MSOR, University of Birmingham.

2009  Mason, J. (2009). Teaching as Disciplined Enquiry. Teachers and Teaching: theory and practice 15 (2-3) p205Ð223.

2009  Houssart, J. & Mason, J. (Eds.) (2009). Listening Counts. Stoke on Trent: Trentham.

2009  Mason, J. (2009). A Study of the Movement of Attention: The Case of a Reconstructed Calculation. In C. Bergson (Ed). Proceedings of MADIF 6.

2009  Mason, J. (2009). From Assenting to Asserting. In O. Skvovemose, P. Valero & O. Christensen (Eds.). University Science and Mathematics Education in Transition. p17-40. Springer, Berlin.

2008

2008  Mason, J. (2008). Joined-Up Reflections (part 2). Mathematics Teaching 211 p40-42.

2008  Mason, J. (2008). Joined-Up Reflections (part 1). Mathematics Teaching 210 p42-44.

2008  Goldenberg, P. & Mason, J. (2008). Spreading Light on and with Example Spaces. Educational Studies in Mathematics (Online First).

2008  Mason, J. (2008). Notes from a Session entitled: learning a mathematical topic: what does it mean and how can it be facilitated. MSOR 8 (3) p15-20

2008  Mason, J. (2008). Thinking Algebraically and Geometrically. The Scottish Mathematical Council Journal 37 p43-45.

2008  Mason, J. (2008). Phenomenal Mathematics. Plenary presentation. Proceedings of the 11th RUME Conference. San Diego.

2008  Mason, J. (2008). PCK and Beyond. Sullivan, P., & Wood, T. (Eds.) In International handbook of mathematics teacher education: Vol.1. Knowledge and beliefs in mathematics teaching and teaching development (p301-322). Rotterdam, the Netherlands: Sense Publishers.

2008  Mason, J. (2008). Being Mathematical With & In Front of Learners: Attention, Awareness, and Attitude as sources of Differences between Teacher Educators, Teachers & Learners. In T. Wood (Series Ed.) & B. Jaworski (Vol. Ed.), International handbook of mathematics teacher education: Vol.4. The Mathematics Teacher Educator as a Developing Professional. Rotterdam, the Netherlands: Sense Publishers, p31-56.

2008  Molina, M., Castro, E., & Mason, J. (2008). Elementary school studentsÇ approaches to solving true/false number sentences. Revista de InvestigaciÑn en Didàctica de la Matemàtica PNA 2(2), 75-86.

2008  Mason, J. (2008) Flanking Triangles. Mathematics In Schools. 37 (1) p28-29.

2008  Mason, J. & Watson, A. (2008). Mathematics as a Constructive Activity: exploiting  dimensions of possible variation.  In M. Carlson & C. Rasmussen (Eds.) Making the Connection: Research and Practice in Undergraduate Mathematics, Washington: MAA. p189-202.

2008  Mason, J. (2008). From Concept Images to Pedagogic Structure for a Mathematical Topic. In C. Rasmussen & M. Carlson (Eds.) Making the connection: research to practice in undergraduate mathematics education. MAA Notes. Washington: Mathematical Association of America. p253-272.

2008  Mason, J. (2008). Making Use of ChildrenÍs Powers to Produce Algebraic Thinking. In J. Kaput, D. Carraher & M. Blanton (Eds.) Algebra in the Early Grades. Lawrence Erlbaum. New York. p57-94.

2008  Mason, J. (2008). Distinctive Ontogeny: Ontological Musings Inspired by two discerning gentlemen of distinction(s), David Tall & Eddie Gray. Mediterranean Journal of Mathematics Education Vol 7 (2) p23-40.

2007

2007  Mason, J. (2007). CuadÕculas de Variation Estructurada para Explotacion y Desarrollo de las Capacidades Matem‡ticas de los Juvenes Aprendices. Educacion Matem‡tica. 19 (01) p127-150.

2007  Mason, J. (2007). Research & Practice in Algebra: interwoven influences. In D. Pitta-Panzi & G. Philippou (Eds.) Proceedings of CERME 5, Larnaca, Cyprus. Cyprus: Dept. of Education, University of Cyprus. p913-923. Available as a CD, University of Cyprus, Dept of education.

2007  Watson, A. & 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) p205-215.

2007  Mason, J. (2007). Images: static, dynamic and mental, Mathematics Teaching incorporating MicroMath 205 p44-45.

2007  Mason, J. Drury, H. & Bills, E. (2007). Explorations in the Zone of Proximal Awareness. In J. Watson & K. Beswick (Eds.) Mathematics: Essential Research, Essential Practice: Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia. Adelaide: MERGA Vol 1 p42-58.

2007  Mason, J. (2007). Bartering problems in arithmetic books 1450Ð1890. British Society for the History of Mathematics Bulletin, 22 p1-24.

2007  Watson, A. & Mason, J. (2007). Surprise and Inspiration. Mathematics Teaching. 200 p4-5.

2007  Mason, J. (2007). Hyper-learning from hyper-teaching: what might the future hold for learning mathematics from & with electronic screens? Interactive Educational Multimedia 14 p19-39. (refereed e-journal) 14 (April) (accessed May 7 07).

2006

2006  Mason, J. Burton, L. & Stacey, K. (2006). M. Riederle (Trans.) Mathematisch denken: mathematik ist keine Hererei. Munchen: Oldenbourg.

2006  Mason, J. (2006). Micro-Structure of Attention in the Teaching and Learning of Mathematics. Proceedings of the  Mathematics Teaching 2005 Conference, Edinburgh: Edinburgh Centre for Mathematical Education. p36-41.

2006  Mason, J. (2006). Micro-Structure of Attention in the Teaching and Learning of Mathematics. Canterbury Mathematical Association Newsletter. June. p2-6.

2006  Mason, J. & Johnston-Wilder, S. (2006 2nd edition). Designing and Using Mathematical Tasks. St. Albans: Tarquin.

2006  Mason, J. (2006). What makes an example exemplary?: pedagogical & research issues
in transitions from numbers to number theory. In R. Zazkis & S. Campbell (Eds.) Number Theory in Mathematics Education: Perspectives and Prospects. Mahwah: Erlbaum p41-68.

2006  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) p91-111.

2005

2005  Mason, J. (2005). Exploiting Mathematical Opportunities Afforded by Mathematical Tasks: a case study of shifting from arithmetical to algebraic thinking. In C. Bergsten & B. Grevholm (Eds.). Conceptions of mathematics: proceedings of NORMA 01, Third Nordic Conference on Mathematics Education. Linkšping: SMDF. p20-32.

2005  Mason, J. (2005), Mediating Mathematical Thinking With E-Screens. in S. Johnston-Wilder & D. Pimm (Eds.) Teaching Secondary Mathematics with ICT. Buckingham: Open University Press. p219-234.

2005  Watson, A. & Mason, J. (2005). Enriching Student Learning: structuring tasks to limit possible generalizations. Presentation to SIG on Making Learning Possible: the role of pedagogy for enhancing learning. EARLI, Nicosia.      

2005  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 Presentation to SIG on Variation and Attention. EARLI, Nicosia.

2005  Mason, J. with Johnston-Wilder, S. & Graham, A. (2005). Developing Thinking in Algebra. London: Sage (Paul Chapman).

2005  Johnston-Wilder, S. & Mason, J.(Eds.) (2005). Developing Thinking in Geometry. London: Sage.

2005  Mason, J. (2005). Usando Eras Mentais e Electronicos. Educacione Matem‡tica. Revista da Associanao de professors de Matem‡tica. 81 p33-35.

2005  Watson, A. & Mason, J. (2005). Mathematics as a Constructive Activity: learners generating examples. Mahwah: Erlbaum.

2004

2004  Mason, J. (2004/2008). Doing ­ Construing and  Doing + Discussing ­ Learning:
The Importance of the Structure Of Attention. ICME 10 Regular Lecture, in M. Niss (Ed.) Proceedings of ICME 10 CD. Roskilde, Denmark: IMFUFA.

2004  Mason, J. & Watson, A. (2004). Powers of Three: questions from a research day. Mathematics Teaching. 189 p8-9.

2004  Jeffcoat, M. Jones, M. Mansergh, J. Mason, J. Sewell, H. & Watson, A.  (2004). Primary Questions and Prompts, Association of Teachers of Mathematics, Derby.

2004  Bills, C. Bills, E. Watson, A. & Mason, J. (2004). Thinkers, ATM, Derby.

2004  Mason, J. & Johnston-Wilder, S. (2004). Fundamental Constructs in Mathematics Education, RoutledgeFalmer, London.

2004  Mason, J. & Johnston-Wilder, S. (2004). Designing and Using Mathematical Tasks, Open University, Milton Keynes.

2004 Mason J. Probing Polynomials. Presentation at Cabri World, Rome.

2003

2003  Mason, J. (2003). The Discipline of Noticing, in I. Vale, T. Pimentel, J. Portela A. Barbosa &  F. DEl Rio, (Eds.) Encontro A Matemàtica e a Crian�a, ACTAS, Instituto PolitŽcnico de Viana do Castelo, Portugal.

2003  Mason, J.  (2003) On The Structure of Attention in the Learning of Mathematics, Australian Mathematics Teacher, 59 (4) p17-25.

2003  Mason, J. 2003, Are Beliefs Believable?: review of ƒ Mathematics Teaching and Learning 3 (6) p?

2003  Mason, J. 2003, Att AnvŠnda Barns FšmÎgor, NŠmnaren: Tidskrift Fšr Matematikundervisning 30 (3) p14-21.

2003  Mason, J. 2003, Structure of Attention in the Learning of Mathematics, in J. Novotnà (Ed.) Proceedings, International Symposium on Elementary Mathematics Teaching, Charles University, Prague, p9-16.

2003  Mason, J. 2003, Who Needs to Know What?, (review of two dictionaries), Mathematics Teaching  184 p30-32.

2003  Mason, J. 2003, Seeing Worthwhile Things: response to Alan SchoenfeldÍs review of researching Your Own Practice JMTE 6 (3) p281-292.

2003  Mason, J. 2003, Practitioner Research as an Extension of Professional Development, in I. Holden (Ed.), Utvikling av Matematik kundervisning I Samspill mellom Praksis og Forskning,  Skriftserie for Nasjonalt Senter for Matematik I Opplaeringen (1), Trondheim p181-192.

2002

2002  Mason, J. 2002, Reflection In and On Practice, in P. Kahn & J. Kyle (Eds.) Effective Learning & Teaching in Mathematics & Its Applications, ILT & Kogan Page, London, p117-128.

2002 Mason, J. 2002. Report to QCA on creativity in mathematics

            Never published, though some was integrated into a QCA publication on creativity generally

2002  Mason, J. & Sutherland, R. 2002, Key Aspects of Teaching Algebra in Schools, QCA, London.  ISBN 1 85838 507 5

                One or two egregious errors have been corrected (June 2009)

2002  Mason, J. 2002, Questions About Mathematical Reasoning and Proof in Schools, in J. Abramsky (Ed.) Reasoning, Explanation and Proof in School Mathematics and Their Place in the Intended Curriculum: proceedings of the QCA international seminar, October 2002, QCA, London. ISBN 1 85838 510 5

2002  Mason, J. 2002, Exploiting Mental Imagery in Teaching & Learning Mathematics, Actas ProfMat 2002 Conf 13 p75-81.

2002  Mason, J. 2002, (S. Diego Trans.) Explorando Imagens Mentais no Ensino Ð Aprendizagem da Matemàtica, Actas ProfMat 2002 Conf 13 p82-91.

2002  Watson, A. & Mason, J. 2002, Extending Example Spaces As A Learning/Teaching Strategy In Mathematics, in A. Cockburn & E. Nardi (Eds.) Proceedings of PME 26, University of East Anglia, Vol 4 p377-385.

2002  Watson A. & Mason, J. 2002, Student-Generated Examples in the Learning of Mathematics, Canadian Journal of Science, Mathematics and Technology Education, 2 (2) p237-249.

2002    Mason J. 2002, Learning Mathematics Mathematically: Knowledge for A New Century, Proceedings of EARCOME 2 Ð SEACOME 9.

2002  Mason, J. 2002, Exploiting the Power of Word-Problems as Vehicles for Generalisation in Mathematics, EARCOME Workshop, Proceedings of EARCOME 2 Ð SEACOME 9.

2002  Mason, J. 2002, Generalisation and Algebra: exploiting children's powers, in L. Haggerty (Ed.) Aspects of Teaching Secondary Mathematics: perspectives on practice, RoutledgeFalmer, London, p105-120. ISBN 0-415-26081-7

2002  Mason, J. 2002, Minding Your Qs and Rs: effective questioning and responding in the mathematics classroom, in L. Haggerty (Ed.) Aspects of Teaching Secondary Mathematics: perspectives on practice, RoutledgeFalmer, London, p248-258. ISBN 0-415-26081-7

2002  Mason, J. 2002, Mathematics Teaching Practice: a guide for university and college lecturers, Horwood Publishing, Chichester.

2002  Mason, J. 2002, Researching Your own Practice: The Discipline of Noticing, RoutledgeFalmer, London.

2001

2001  Mason, J. 2001, On The Use and Abuse of Word Problems For Moving from Arithmetic to Algebra, in H. Chick, K. Stacey, J. Vincent & J. Vincent (Eds.) The Future Of The Teaching And Learning Of Algebra, Proceedings of the 12th ICMI Study Conference, University of Melbourne, Melbourne, p430-437.

2001  Mason, J. 2001, Convincing Myself & Others: discussing with mummy and justifying to daddy, Mathematics Teaching, 177 p31-36.

2001  Faux, G. & Mason, J. 2001, Opening Session: how do you know?, Mathematics Teaching 137 p4-5.

2001  Mason, J. 2001, Review of Using ICT in Primary Mathematics: practice and possibilities, Computers & Education 37 (2) September 2001, Pages 184-185

2001  Mason, J. 2001, Modelling Modelling: where is the centre of gravity of-for-when modelling?, in J. Matos, W. Blum, S. Houston & S. Carreira (Eds.) Modelling and Mathematics Education: ICTMA 9 applications in science and technology, Horwood Publishing, Chichester, p39-61.

2001  Mason, J. 2001, Teaching for Flexibility in Mathematics: being aware of the structures of attention and intention, Quaestiones Mathematicae, 24 Suppl 1, p1-15.

2001  Mason, J. & Watson, A. 2001, Stimulating Students to Construct Boundary Examples, Quaestiones Mathematicae, 24 Suppl 1, p123-132.

2001  Mason, J. 2001, Mathematical Teaching Practices At Tertiary level: Working Group Report, in D. Holton (Ed.) The Teaching and Learning of Mathematics at University Level: An ICMI Study, Kluwer, Dordrecht, p71-86.

2001  Mason, J. 2001, Professionalisation of Teaching in Higher Education in the United Kingdom, in D. Holton (Ed.) The Teaching and Learning of Mathematics at University Level: An ICMI Study, p527-536.

2001  Mason, J. 2001, Generalising ïSums of Cubes Equal To Squares of SumsÍ, The Mathematical Gazette, 85 (502) p50-58.

2001  Mason, J. & Watson, A. 2001, Getting Students To Create Boundary Examples, MSOR Connections, 1 (1) p9-11.

2001  Mason, J. 2001, Tunja Sequences as Examples of Employing StudentsÍ Powers to Generalize, Mathematics Teacher, 94 (3) p164-169.

2000

2000  Watson, A. & Mason J. (2000). Student Generated Examples, Mathematics Teaching 172, p59-62.

2000  Mason, J. 2000, The Epistemology of JPFs: when is research in mathematics education valid, for whom, and under what circumstances?, in J. Matos & M. Santos (Eds.) Proceedings: Second international Mathematics education and Society Conference, Universidade de Lisboa, Lisbon.

2000  Mason, J. 2000, Figures de Nombres, in J-M. Kantor (Ed.) MathŽmatiques Buissonni� en Europe, Editions Vuibert, Paris, p18-19.

2000  Mason, J. & Spence, M.  2000, Beyond Mere Knowledge of Mathematics: The Importance of Knowing ÐTo Act in the Moment, in D. Turosh (Ed.) Forms of Mathematical Knowledge: learning and teaching with understanding, Kluwer, Dordrecht, p135-161.

2000  Mason, J. & Houssart, J. 2000, Arithmogons: a case study in locating the mathematics in tasks, Primary Teaching Studies, 11 (2) p34-42.

2000  Mason, J. 2000, Asking Mathematical Questions Mathematically, International Journal of Mathematical Education in Science and Technology, 31 (1) p97-111.

1999

99      Mason, J. & Watson, A. 1999, Immersion in Multiplicity, Mathematics Teaching, 166 March, p5-8.

99      Mason, J. & Watson, A. 1999, Getting Students to Create Boundary Examples, Talum , 11 (Sept.) , http://www.bham.ac.uk/ctimath/talum/newsletter/

99      Mason, J. & Spence, M. 1999, Towards a Psychology of Knowing-To, Educational Studies in Mathematics, p135-161.

99      Mason, J. 1999, IncitaciÑn al Estudiante para que Use su Capacidad Natural de Expresar Generalidad: las secuencias de Tunja, Revista EMA 4 (3) p232-246.

99      Mason, J. 1999, Energies of Practice and of Enquiries into Practice; Energies de la pratique et des interrogations dans la pratique, in F. Jaquet, (Ed.) Les liens entre la pratique de las classe et la recherche en didactique des mathŽmatiques;  Relationship between classroom practice and research in mathematics education, Proceedings of CIEAEM, Neuchatel, 1998, Commision Internationale pour lÍEtude et lÍAmelioration de lÍEnseignement des MathŽmatiques.

99      Mason, J. 1999, The Role of Labels for Experience in Promoting Learning from Experience Among Teachers and Students, in L. Burton, (Ed.),  Learning Mathematics: from hierarchies to networks, Falmer, London, p187-208.

99     Mason, J. 1999, The Expression of Generality in Early Arithmetic Texts, in Toward Scientific Literacy: Proceedings of Fourth International Conference on  History & Philosophy of Science Teaching:  CDROM, University of Calgary, Alberta, p515-528.

99     Mason, J. 1999, Communication Issues in Teaching Mathematics: when telling is telling and asking is asking, in Toward Scientific Literacy: Proceedings of Fourth International Conference on  History & Philosophy of Science Teaching:  CDROM, University of Calgary, Alberta, p505-514.

1998

98      Mason, J. 1998, Asking Mathematical Questions Mathematically. Proceedings of Actes du Colloque DIDIREM, RŽussites et/ou apprentissages Nouvelles technologies; Les mathŽmatiques en premier cycle universitaire, ou en est-on?  UniversitŽ de Versailles. www.math.jussieu.fr/~jarraud/colloque/index.html

98      Mason, J. 1998, Convincing Yourself and Others, Vinculum 35 (1) p4-8.

98      Mason J. 1998, Enabling Teachers to be Real Teachers: necessary levels of awareness and structure of attention,  Journal of Mathematics Teacher Education, 1 (3)  p243-267.

98      Mason, J. 1998, Protasis: a technique for promoting professional development, in C. Kanes, M. Goos, & E. Warren (Eds.) Teaching Mathematics in New Times: Proceedings of MERGA 21, vol 1, Mathematics Education Research Group of Australasia, p334-341.

98      Mason, J. & Spence, M. 1998, Towards a Psychology of Knowing-To, in C. Kanes, M. Goos, & E. Warren (Eds.) Teaching Mathematics in New Times: Proceedings of MERGA 21, vol 1, Mathematics Education Research Group of Australasia, p342-349.

98      Ruffell, M. Mason, J. & Allen, B. 1998, Studying Attitude to Mathematics, Educational Studies in Mathematics, 35 p 1-18.

98      Mason, J. 1998, Learning & Doing Mathematics (Second revised edition), QED Books, York.

98      Sfard, A. Nesher, P. Streefland, L. Cobb, P. & Mason, J. 1998, Learning Mathematics Through Conversation: is it as good as they say?, For the Learning of Mathematics, 18 (1) p41-51.

98      Mason, J. 1998, Personal View, Mathematics Teaching, 163, June, p60.

98      Watson, A. & Mason, J. 1998, Questions and Prompts for Mathematical Thinking, ATM, Derby.

98      Mason, J. 1998, Researching From the Inside in Mathematics Education, in A. Sierpinska & J. Kilpatrick (Eds.)  Mathematics Education as a Research Domain: a search for identity, 2 vols,  Kluwer, Dordrecht, Vol 2 p357-378.

1997

97      Mason, J.  & Waywood, A. 1997, The Role of Theory in Mathematics Education and Research, in A. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.) International Handbook of Mathematics Education Part 2, Dordrecht: Kluwer, Chapter 28, p1055-1089.

97      Mason, J. 1997, Describing the Elephant: seeking structure in mathematical thinking Ð a review of Sternberg & Ben-Zeev (Eds.), ïThe Nature of Mathematical ThinkingÍ, Journal for Research in Mathematics Education, 28 (3) p377-382.

97      Mason, J. 1997, The Psychology of Possibility, in Zack, V., Mousley, J., & Breen, C. (Eds.) Developing Practice: teacher's inquiry and educational change in classrooms, Geelong, Australia: CSMEE, Deakin University, p87-102.

97      Allen, B. & Mason, J. 1997, Attitudes and Attributions of Students Studying a Distance-learning Undergraduate Mathematics Course, Paper presented at EARLI, Athens, session 49, p173.

1996

96      Mason, J. 1996, Wholeness, Distinctions, and Actions in Mathematics Education, ME822 Reader Block IV, Open University, Milton Keynes p5-14.

96      review of Sierpinska trans into Spanish.

96      Mason, J. 1996, Open University  Mathematics Foundation  Problem Book (1971 Ð 1996) , IFP 6, Centre for Mathematics Education, Open University, Milton Keynes.

96      Mason, J. 1996, Futures for Arithmetic & Algebra: exploiting awareness of generality, in GimŽnez, J. Lins, R. & Ñmez, B. (Eds.) Arithmetics and Algebra Education: searching for the future, Universitat Rovira i Virgili, Barcelona, p16-33.

96      Mason J. 1996, El futuro de la aritmŽtica y del Algebra: utilizar el sentido de generalidad, El futuro del Algebra y la aritmŽtica, UNO, Revisita de las Matem‡ticas, 9, p15-22.

96      Mason, J. 1996, Expressing Generality and Roots of Algebra, in Bednarz, N. Kieran, C. & Lee, L.(Eds.) Approaches to Algebra: perspectives for research and teaching, Kluwer, Dordrecht, p65-86.

96      Mason, J. 1996, Abduction at the Heart of Mathematical Being, in Gray, E. (Ed.), Thinking about Mathematics & The Music of the Spheres: papers presented for the inaugural lecture of Professor David Tall, Mathematics Education Research Centre, Warwick.

96      Mason, J. 1996, ñWhen is a problem?î: Questions from History and Classroom Practice in Algebra, in Berdnaarz, N. Kieran, C. & Lee, L.(Eds.) Approaches to Algebra: perspectives for research and teaching, Kluwer, Dordrecht, p187-196.

96      Mason, J. & Monteiro, B. 1996, Conflicts Between Common Sense and Experience and Concomitant Shifts of Attention, in C. Keitel, U. Gellert, E. Jablonka, & M. MÙller, (Eds.), Mathematics Education and Common Sense, International Commission for the Study and Improvement of Mathematics Teaching , Freie UniversitŠt Berlin, Berlin, p96-101.

96      Mason, J. 1996, Mathematical Sense: making the uncommon common and the insensible sensible, in in C. Keitel, U. Gellert, E. Jablonka, & M. MÙller, (Eds.), Mathematics Education and Common Sense, International Commission for the Study and Improvement of Mathematics Teaching , Freie UniversitŠt Berlin, Berlin, p151-162.

96      Mason, J. 1995, Depicting and Undepicting Mathematical Ideas, in C. Keitel, U. Gellert, E. Jablonka, & M. MŸller, (Eds.), Mathematics Education and Common Sense, International Commission for the Study and Improvement of Mathematics Teaching , Freie UniversitŠt Berlin, Berlin, p457-461.

96      Mason, J. 1996, Personal Enquiry: moving from concern towards research, Open University, Milton Keynes.

1995

95      Sutherland, J. & Mason J. (Eds), 1995, Exploiting Mental Imagery with Computers in Mathematics Education,  NATO ASI Series F Vol 138, Springer, Berlin.

95      Roschelle, J. & Mason, J. 1995, Sketching a Multi-Disciplinary Microworld: a collaborative exploration in Boxer, in diSessa, A. Hoyles, C. Noss, R. & Edwards, L. (eds), Computers and Exploratory Learning , Springer, Berlin, p289-304.

95      Mason, J. 1995, Shaping Up: ñyou see but do not observe!î, Mathematics Teaching, 152, September, p 4-11.

95      Mason, J.  & Heal, B. 1995, Mathematical Screen Metaphors, in Sutherland, J. & Mason J. (eds), Exploiting Mental Imagery with Computers in Mathematics Education,  NATO ASI Series F Vol 138, Springer, Berlin.

95      Mason, J. 1995, Exploring the Sketch Metaphor for Presenting Mathematics using Boxer, in diSessa, A. Hoyles, C. Noss, R. & Edwards, L. (eds), Computers and Exploratory Learning , Springer, Berlin, p383-398.

95      Mason, J. 1995, Sums of General Geometric Series, The College Mathematics Journal, 26 (5) p381.

95      Mason, J. 1995, Less May Be More On A Screen, in Burton, L. & Jaworski, B. (eds), Technology in Mathematics Teaching: a bridge between teaching and learning, Chartwell-Bratt, London, p119-134.

95      Mason, J. 1994, The Energies of Becoming a Scientist, unpublished.

95      Love, E. & Mason, J. 1995, Telling and Asking, in P. Murphy, M. Sellinger, J. Bourne, & M. Briggs,  Subject Learning in the Primary Curriculum: issues in english, science, and mathematics, Routledge, London, p252-270.

1994

94      Mason J. 1994, Professional Development and Practitioner Research, Chreods 7, p3-12.

94      Mason J. 1994, Enquiry in Mathematics and in Mathematics Education, in Ernest, P (ed) Falmer Press, p190-200.

94      Mason, J. 1994, Only Awareness is Educable, in Bloomfield, A. & Harries, T. (eds) Teaching, Learning and Mathematics, Association of Teachers of Mathematics, Derby, p28-29.

94      Mason, J. 1994, What, Why, and How in Mathematics, MicroMath.

94      Mason, J. 1994, What is Mathematics?, part of E884 Post Graduate Certificate in Education: Secondary Mathematics, Open University, Milton Keynes.

94      Mason, J. 1994, Salient Moments and Critical Incidents: review of Tripp, D. 1993, Critical incidents in teaching: developing professional judgement, Routledge, London, in Journal of Teacher Development 3 (3) p187-191.

94      Mason, J. 1994, Researching From the Inside in Mathematics Education: locating an I-You relationship, in Ponte, J. & Matos J. (Eds), Proceedings of PME XVIII, Lisbon, Portugal, p176-194.

94      Mason, J. 1994, Researching From the Inside in Mathematics Education: locating an I-You relationship, Extended version, IP5, Centre for Mathematics Education, Open University, Milton Keynes.

94      Mason, J. 1994, From the Inside, in A. Bloomfield & T. Harries (Eds.) Teaching, Learning and Mathematics, Association of Teachers of Mathematics, Derby, p18.

94      Mason, J. 1994 Learning From Experience, in D. Boud, & J. Walker (Eds.), Using Experience for Learning, Open University Press, Buckingham.

1993

93      Nevile, L. & Mason, J. 1993, Looking at, Through,  and Back at: useful ways of looking at software, in Jaworski, B. (ed) Proceedings of the Birmingham International Conference on Teaching Mathematics with Technology, p 391-398.

93      Mason, J. 1993, On The Edge of an Epistemological Revolution, Teaching Mathematics and its Applications, 12 (4) p145-148.

93      Mason, J. & Nevile, L. Diagrams as Functions in Geometry, in A. Baturo & L. Harris, (Eds.) New Directions in Geometry Education, Proceedings of Third Annual Conference on Mathematics Teachin and Learning, Queensland University of Technology, Brisbane, p80-86.

93      Mason, J. 1993, Working on Awareness, in J. Searl (Ed.), Proceedings of the Edinburgh Mathematics Teaching Conference, University of Edinburgh, Edinburgh.

93      Mason, J. 1993, with Hewitt, D. & Brown, L. Ways of Seeing, in Selinger, M. (ed) Teaching Mathematics, Routledge & Kegan Paul, London.

93      Mason, J. 1993, Screening Mathematics: the role of imagery, visualisation and representation, Proceedings of the Sixth International Conference for LOGO and Mathematics Education, (ed. Dawson, S.)  Simon Fraser University, Vancouver, p107-128.

93      Mason, J. 1993, review of Advanced Mathematical Thinking (D. Tall, Ed.) in ZDM 93/1p43-45.

93      Mason, J. 1993, Less May Be More on a Screen, in Burton, L. & Jaworski, B. (eds) Proceedings of the Birmingham International Conference on Teaching Mathematics with Technology, p 367-374.

93      Mason, J. 1993, Assessing What Sense Pupils Make of Mathematics, in Selinger, M. (Ed.) Teaching Mathematics, Routledge, London.

93      Mason, J. & Nevile, L. Geometric Diagrams as Function Collages, in Mousley, J. & Rice, M. (Eds.) Mathematics: Of Primary Importance, Proceedings of MAV 1993, Mathematical Association of Victoria, Melbourne, p396-402.

93      Mason, J. & Binns, E. 1993, An Exploration of VergnaudÍs Theorem-in-Action in the Context of Algebra, Proceedings of Conference on Algebraic Processes and the Role of Symbolism, London Institute, London.

93      Binns, E. & Mason, J.  1993, What is Unknown about the Unknown? Proceedings of the Algebraic Processes and the Role of Symbolism, Invitational ESRC European Conference on Algebra, Sept., London Institute of Education, London.

1992

92      Mason, J. 1992, Doing and Construing Mathematics in Screen Space, in B. Southwell, B. Perry, & K. Owens (Eds.), Space - The First and Final Frontier: Proceedings of the Fifteenth Annual Conference of the Mathematics Education Research Group of Australasia (MERGA-15), p1-17.

92      Mason, J. 1992, The Discipline of Noticing, Sunrise Research Laboratory, RMIT, Melbourne.

92      Mason, J. 1992, Researching Problem Solving From the Inside, in Mathematical Problem Solving and New Information Technology: research in Contexts of Practice, Ponte J., Matos J., Matos J. & Fernandes D. (ed), Nato ASI Series F #89, Springer Verlag, London, p17-36.

92      Mason, J. (1992). Images and Imagery in a Computing Environment, in Computing the Clever Country, Proceedings of ACEC 10, Melbourne: Computing in Education Group of Victoria.

92      Mason, J. 1992, Frames for Teaching, in Teaching Mathematics: Action and Awareness, Love, E. & Mason, J.  (Eds), Open University, Milton Keynes, p29-53.

92      Love, E. & Mason, J. 1992, Teaching Mathematics: Action and Awareness, Open University, Milton Keynes.

1991

91      Mason J. 1991, Supporting Primary Mathematics: Algebra, Open University.

91      Mason, J. & Mason, Q. 1991, Pythagoras in CABRI GŽom�tre, MicroMath 7 (2) p15-17.

91      Mason, J.  Nunes, T. & Light, P. 1991, ChildrenÍs Understanding of Measurement, Proceedings of PME XIV, Furringhetti (ed), Vol III p102-108.

91      Mason, J. 1991, Speaking To and Speaking About Teaching: the Role of Metaphor and Metonymy, Proceedings of TME, Paderno del Grappa, ed H-G Steiner, Bielefeld.

91      Mason, J. 1991, Questions about Geometry, in D. Pimm & E. Love, (eds), Teaching and Learning School Mathematics, Hodder and Stoughton, London, p77-90.

91      Mason, J. 1991, Mathematical Problem Solving: Open, Closed, and Exploratory, ZDM , 1/1991 p14-19.

91      Mason, J. 1991, Epistemological Foundations for Frameworks Which Stimulate Noticing, in Underhill, R. (ed), Proceedings of PME-NA 13 Vol 2, p36-42.

91      Mason, J. 1991, Awakening the (re)Searcher Within, Open University Inaugural Lecture, Centre for Mathematics Education, Open University, Milton Keynes.

1990

90      Mason, J. 1990, Difference-Divisible Sequences, Maths Gazette, 74 (469) p223-228.

90      Griffin, P. & Mason, J. 1990, Walls and Windows: a study of seeing using RouthÍs theorem and associated results, Maths Gazette, 74 (469) p260-269.

1989

89      Mason, J. 1989, Geometry: what why, where and how?, Mathematics Teaching, 129 p40-47.

89      Mason, J. 1989, Change, Teaching Mathematics and Its Applications, 8 (4), p162-168.

89      Mason, J. 1989, Does Description = Experience? A Fundamental Epistemological Error with Far-reaching Consequences, Cambridge Journal of Education, 19 (3) , p 311-321.

89      Mason, J. & Davis, J. 1989, The Inner Teacher, The Didactic Tension, and Shifts of Attention, Proceedings of PME XIII, (G. Vergnaud, Rogalski, & M. Artigue, eds), Paris, Vol 2  p274-281.

89      Mason, J. & Davis, J. 1989, Notes on a Radical Constructivist Epistemethodology Applied to Didactic Situations, Journal of Structural Learning 10 p157-176.

89      Mason, J. 1989, Mathematical Abstraction Seen as a Delicate Shift of Attention, For the Learning of Mathematics  9 (2) p2-8.

89      Mason, J. 1989, Teaching (Pupils to Make Sense) and Assessing (the Sense they Make), in P. Ernest (Ed.) Mathematics Teaching: The State of the Art, Falmer, London, p153-166.

1988

88      Mason, J. 1988, Learning and Doing Mathematics, MacMillan, London.

88      Mason, J. 1988, Imagery, Imagination and Mathematics Classrooms, in Mathematics, Teachers, and Children, ed. D. Pimm, Hodder and Stoughton, London, p297-302.

88      Mason, J. 1988, Fragments: the implications for teachers, learners and media users/researchers of personal construal and fragmentary recollection of aural and visual messages, Instructional Science 17, p195-218.

88      Mason, J. 1988,  Expressing Generality, Project Update, Open University, Milton Keynes.

88      Mason, J. 1988, Actions Into Words, Project Update, Open University, Milton Keynes.

88      Mason, J. 1988, Doing & Undoing, Project Update, Open University, Milton Keynes.

88      Mason, J. 1988, Dealing With Decimals, Project Update, Open University, Milton Keynes.

88      Mason, J. 1988, Approaching Infinity, Project Update, Open University, Milton Keynes.

88      Mason, J. & Davis J. 1988, Cognitive and Metacognitive Shifts, in A. Borbàs (Ed.) Proceedings of PME XII, VezprŽm, vol 2 p487-494.

1987

87      Mason, J. & Davis J. 1987, Only Awareness is Educable, Mathematics Teaching 120, p 30-31.

87      Mason, J. 1987, What Do Symbols Represent? In C. Janvier (Ed.).  Problems of Representation in the teaching and Learning of Mathematics. Mahwah: Lawrence Erlbaum, pxx.

87      Mason, J. 1987, Rolling Coins and Winding Numbers, privately circulated.

1986

86      Mason, J. 1986, Tensions, Mathematics Teaching 114, p 28-31.

86      Mason, J. 1986, Probes and Fragments, For the Learning of Mathematics 6(2) p42-46.

86      Mason, J. 1986, Challenge to Change: To Stay Alive Every Teacher Must Be A Researcher, in Challenge For Change Proceedings of 11th Biennial Australian Mathematics Teachers Conference, Brisbane  p9-30.

1985

85      Mason, J. 1985, What Do You Do When You Turn Off The Machine?, preparatory paper for ICMI conference March, The Influence of Computers and Informatics on Mathematics and its Teaching, Inst. de Recherche Sur L'Enseignement des Mathematiques, Strasburg, p251-256.

85      Mason, J. , Graham, A., Pimm, D., & Gowar, N.  1985,  Routes to, Roots of Algebra, The Open University, Milton Keynes.

1984

84      Mason, J. 1984, What Do we Really Want Students to Learn?  Teaching At A Distance 25,  p4-11.

84      Mason, J. 1984, Towards One Possible Discipline For Mathematics Education in H. Steiner (Ed.) Theory Of Mathematics Education, Inst. fur Didaktik der Math., Univ. Bielefeld, p42-55.

84      Mason, J. & Pimm, D. 1984, Generic Examples: Seeing the General in the Particular, Educational Studies in Mathematics, 15(3) p277-290.

1982

82      James, N. and Mason, J. (1982). 'Towards recording', Visible Language, 16(3), p249-258.

82      Mason, J. Attention, (1982). For the Learning of Mathematics, 2 (3) p21-23.

82      Mason, J. Burton L. & Stacey K. (1982). Thinking Mathematically, Addison Wesley, London.

1980

80      Mason, J. (1980). When is a Symbol Symbolic?, For the Learning of Mathematics 1 (2) p8-12.

1979

79      Mason, J. (1979). Which Medium, Which Message, Visual Education Feb 1979, p29-33.

78      Mason, J. (1978). The Concept of a Jewel or Why Course Units are Too Coarse a Unit, Teaching at a Distance 12, p72.

1972

1972  Mason, J. (1972). Can Regular Tetrahedra Be Glued Together Face to Face to Form a Ring? Mathematical Gazette 56 (397) p194-197.