# School of Education

## Professor John Monaghan's Publications

### Books

Learning to Teach Number: a handbook for students & teachers in the primary school, The Stanley Thornes Teaching Primary Maths Series (Stanley Thornes, 1999), 326p

,Learning to Teach Number: a handbook for students and teachers in the primary school (Cheltenham: Stanley Thornes, 1999)

,Mathematical Activities with Computer Algebra (Bromley: Chartwell-Brat, 1997)

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### Journal Articles

‘Teacher-student development in mathematics classrooms: Interrelated zones of free movement and promoted actions’, Educational Studies in Mathematics, 82.2 (2013), 285-302

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DOI: 10.1007/s10649-012-9426-6‘Towards a Socio-cultural Framework for the Analysis of Joint Student-teacher Development over Technology-based Mathematics Lessons’, The International Journal for Technology in Mathematics Education, 20.1 (2013)

,‘CERME7 Working Group 16: Different theoretical perspectives and approaches in research in mathematics education’, Research in Mathematics Education, 14.2 (2012), 213-214

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DOI: 10.1080/14794802.2012.694296‘Abstraction through game play’, Technology, Knowledge and Learning, 17.1-2 (2012), 1-21

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DOI: 10.1007/s10758-012-9189-2‘Abstraction through game play’, Technology, Knowledge and Learning, 17.1-2 (2012), 1-21

,‘Bridging the divide—seeing mathematics in the world through dynamic geometry’, Teaching Mathematics and its Applications, 30.1 (2011), 1-9

,‘Open-start mathematics problems: an approach to assessing problem solving’, Teaching Mathematics and its Applications, 28.1 (2009)

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DOI: 10.1093/teamat/hrn023‘Concept image revisted’, Educational Studies in Mathematics, ed. by Dreyfus T, 68.1 (2008), 19-35

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DOI: 10.1007/s1064900791122‘Open-start mathematics problems: an approach to assessing problem solving’, Teaching Mathematics and its Applications, 28.1 (2008), 21-31

,‘A Lesson in Incoherence’, Metascience 2008, 1-5

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DOI: 10.1007/s11016-008-9206-1‘Computer algebra, instrumentation and the anthropological approach’, The International Journal for Technology in Mathematics Education, 14.2 (2007), 63-71

,‘Engineering students' conceptions of the derivative and some implications for their mathematical education’, International Journal of Mathematical Education in Science and Technology, 38.6 (2007), 763-777

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DOI: 10.1080/00207390701453579‘Concept image revisited’, Educational Studies in Mathematics 2007, 1-17

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DOI: 10.1007/s10649-007-9112-2‘Comments on the co-emergence of machine techniques, paper-and-pencil techniques, and theoretical reflection’, International Journal of Computers for Mathematical Learning, 11.3 (2006), 351-360

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DOI: 10.1007/s10758-006-9104-9‘Abstraction and Consolidation’, Educational Studies in Mathematics, 62.3 (2006), 233-258

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DOI: 10.1007/s10649-006-8753-x‘Revisiting routine questions’, Teaching Mathematics and its Applications, 25.2 (2006), 90-96

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DOI: 10.1093/teamat/hri011‘The Didactical Challenge of Symbolic Calculators: Turning a compuattional device into a mathematical instrument’, The International Journal for Technology in Mathematics Education, 11.4 (2005), 153-157

,‘Teachers’ Activities in Technology-Based Mathematics Lessons’, International Journal of Computers for Mathematical Learning, 9.3 (2004), 327-357

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DOI: 10.1007/s10758-004-3467-6‘Advanced Mathematical Thinking in a Technological Workplace’, Educational Studies in Mathematics, 52.2 (2003), 101-122

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DOI: 10.1023/A:1024089520064‘Graphic Calculator Use in Leeds Schools: fragments of practice’, Journal of Information Technology for Teacher Education, 11.1 (2002), 93-110

,‘Young Peoples' Ideas of Infinity’, Educational Studies in Mathematics, 48.2-3 (2001), 239-257

,‘Reaction to indispensable manual calculation skills in a CAS environment’, Micromath, 17.1 (2001), 9-11

,‘Some issues surrounding the use of algebraic calculators in traditional examinations’, International Journal of Mathematical Education in Science and Technology, 31.3 (2000), 381-392

,‘What are they doing?!’, International Journal of Computer Algebra in Mathematics Education, 4.2 (1997), 117-127

,‘Teaching and Learning in a Computer Algebra Environment: Some Issues Relevant to Sixth-form Teachers in the 1990s’, International Journal of Computer Algebra in Mathematics Education, 4.3 (1997), 207-220

,‘Technology and the new Maths A-level core’, Micromath, 13.3 (1997), 15-17

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### Chapters

‘Working with teachers: context and culture’, in Mathematics Education and Technology-Rethinking the Terrain, ed. by Hoyles C and Lagrange J-B (Springer Verlag, 2009), 293-310

,‘Commentary on the Chapters on the Construction of Knowledge’, ed. by Schwarz BB and Dreyfus T, New perspectives on learning and instruction (Abingdon: UK: Routledge, 2009), 81-90

,‘Cognition and institutional setting’, in New directions for situated cognition in mathematics education, ed. by Watson A, Mathematics Education Library (Springer, 2008), 45, 231-258

,‘Are mathematical abstractions situated?’, in New directions for situated cognition in mathematics education, ed. by Watson A and Winbourne P, Mathematics Education Library (Springer, 2008), 45, 101-126

,‘Thinking algebraically: manipulative algebra’, in Teaching Mathematics with ICT, ed. by Pimm SJ-WAD (Maidenhead: Open University Press, 2005), 62-80

,‘Computer Algebra Systems and Algebra: Curriculum, Assessment, Teaching, and Learning’, in The Future of the Teaching and Learning of Algebra, ed. by Stacey K, Chick H and Kendal M (Dordrecht: Kluwer Academic, 2004), 155-186

,‘School Mathematics and Mathematical Proof’, in Aspects of Teaching Secondary Mathematics: perspectives on practice, ed. by L, The Open University Flexible Postgraduate Certificate of Education (Routledge/Flamer & The Open University, 2002), 71-90

,‘Introduction’, in The State of Computer Algebra in Mathematics Education, ed. by Berry J and others (Bromley: Chartwell-Brat (Publishing and Training) Ltd, 1997), 1-10

,‘Abstraction beyond a delicate shift of attention’, in Mathematical action & structures of noticing, ed. by Lerman S and Davies B (Rotterdam: Sense, [n.d.])

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### Conference Papers

‘Extending Valsiner's complex system: an emergent analytic tool for understanding students' mathematical learning in practice’, in Yes, ed. by Tzekaki and others (Thessaloniki, Greece: PME, 2009), 2, 1-8 33rd Conference of the International Group for the Psychology of Mathematics Education, Thessaloniki, Greece, 19/07/2009 - 24/07/2009

,‘ABSTRACTION THROUGH GAME PLAY’, in PME 33: PROCEEDINGS OF THE 33RD CONFERENCE OF THE INTERNATIONAL GROUP FOR THE PSYCHOLOGY OF MATHEMATICS EDUCATION, VOL 2, ed. by Kaldrimidou M and Sakonidis H ([n.pub.], 2009), 2, 73-80

,‘Ways of Researching Teachers Using Computer Algebra Systems’, in Beiträge zum Mathematikunterricht, 2002, ed. by Peschek W (Verlag Franzbecker, Hildesheim, Berlin, 2002), 31-38

,‘Teachers' Classroom Interactions in ICT-based Mathematics Lessons’, in 25th Conference of the International Groups for the Psychology of Mathematics Education, ed. by Heuval-Panhuizen MVD (Fredenthal Institute, The Netherlands, 2001), 3, 383-390

,‘Teachers and computer algebra systems’, in The Future of the Teaching and Learn-ing of Algebra - 12th ICMI Study Conference, ed. by Chick and others (University of Melbourne, 2001), 2, 462-467

,‘The effects of metacognitive training in mathematical word problem solving in a computer environment’, in Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education (Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, 2000), 4, 193-200

,‘Technology and assessment in the UK: one step forwards, two steps back’

,‘Non-elementary mathematics in a work setting’

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