Mike Thomas - Published
Research Papers

 


Refereed Journal Articles:

32. 2009 NATARAJ5, M. S. & THOMAS, M. O. J. Developing understanding of number system structure from the history of mathematics. Mathematics Education Research Journal, 21(2), accepted.

31. 2008 THOMAS, M. O. J. Editorial. Mathematics Education Research Journal, 20(2), 1–4.

30. 2008 GODFREY5, D., & THOMAS, M. O. J. Student perspectives on equation: The transition from school to university. Mathematics Education Research Journal 20(2), 71-92.

29. 2008 THOMAS, M. O. J., HONG5, Y. Y., BOSLEY, J., & DELOS SANTOS5. A. Use of Calculators in the Mathematics Classroom. The Electronic Journal of Mathematics and Technology (eJMT), [On-line Serial] 2(2), Available at https://php.radford.edu/~ejmt/ContentIndex.php and http://www.radford.edu/ejmt.

28. 2008 THOMAS, M. O. J. Developing Versatility in Mathematical Thinking. Mediterranean Journal for Research in Mathematics Education, 7(2), 67-87.

27. 2007 STEWART5, S. & THOMAS, M. O. J. Embodied, symbolic and formal thinking in linear algebra. International Journal of Mathematical Education in Science and Technology, 38(7), 927-937.

26. 2006 NATARAJ5, M. S. & THOMAS, M. O. J. Expansion of binomials and factorisation of quadratic expressions: exploring a Vedic method, Australian Senior Mathematics Journal, 20(2), 8-17.

25. 2005 GRAHAM3, A., & THOMAS M. O. J. Representational versatility in learning statistics, International Journal of Technology in Mathematical Education, 12(1), 3–14.

24. 2005 STEWART5, S., THOMAS, M. O. J. & HANNAH3, J. Towards student instrumentation of computer-based algebra systems in university courses, International Journal of Mathematical Education in Science and Technology, 36(7), 741-750.

23. 2005 THOMAS, M. O. J. & HONG5, Y. Y. Learning Mathematics with CAS Calculators: Integration and Partnership Issues, The Journal of Educational Research in Mathematics, 15(2), 215-232.

22. 2003 STEWART5, S. & THOMAS, M. O. J. Difficulties in the acquisition of linear algebra concepts, New Zealand Journal of Mathematics, 32, 207-215.

21. 2003 CHINNAPPAN1, M. & THOMAS, M. O. J. Teachers’ Function Schemas and their Role in Modelling, Mathematics Education Research Journal, 15(2). 151-170.

20. 2003 SANTOS5, A. G. DELOS, & THOMAS, M. O. J. Perspectives on the Teaching of Derivative with Graphic Calculators, Australian Senior Mathematics Journal, 17(1), 40-58.

19. 2002 PATADIA3, H. & THOMAS, M. O. J. Multicultural aspects of mathematics teacher education programmes, Mathematics Teacher Education and Development, MERGA, 4, 57-68.

18. 2001 GRAY3, R. & THOMAS, M. O. J. Procedural and Conceptual Interactions with Quadratic Equation Representations, Science and Mathematics Education Papers (SAMEpapers), Waikato University, 113-128.

17. 2001 HONG5, Y. Y. & THOMAS, M. O. J. Conceptual Understanding of the Newton-Raphson Method, Science and Mathematics Education Papers (SAMEpapers), Waikato University, 91-112.

16. 2001 CHINNAPPAN1, M. & THOMAS, M. O. J. Technology in Mathematics Learning and Teaching, Mathematics Education Research Journal Special Issue on Technology in Mathematics Learning and Teaching, 12(3), 173-176.

15. 2001 HONG5, Y. Y., THOMAS, M. O. J. & KIERNAN5, C. Super-Calculator and Bursary Mathematics with Calculus Examinations: Issues of Equity, Mathematics Education Research Journal Special Issue Technology in Mathematics Learning and Teaching, 12(3), 321-336.

14. 2000 TALL3, D., GRAY3, E., BIN ALI3, M., CROWLEY3, L., DEMAROIS3, P., MCGOWEN3, M., PITTA3, D., PINTO3, M., THOMAS, M. O. J., & YUSOF3, Y. Symbols and the Bifurcation between Procedural and Conceptual Thinking, Canadian Journal of Science, Mathematics and Technology Education, 1, 80-104.

13. 2000 GRAHAM3, A. T.  & THOMAS, M. O. J. Building a Versatile Understanding of Algebraic Variables with a Graphic Calculator, Educational Studies in Mathematics, 41(3), 265-282.

12. 2000 BOOTH5 , R. D. L. & THOMAS, M. O. J. Visualisation in Mathematics Learning: Arithmetic problem-solving and student difficulties, Journal of Mathematical Behavior, 18(2), 169-190.

11. 2000 TALL3, D. O., THOMAS, M. O. J., DAVIS3, G., GRAY3, E. & SIMPSON3, A. What is the Object of the Encapsulation of a Process? Journal of Mathematical Behavior, 18(2), 223-241.

10. 1999 KIERNAN5, C, OATES5, G. & THOMAS, M.O.J. Graphic Calculators and Mathematics Assessment, Science and Mathematics Education (SAME) papers, Waikato University, New Zealand, 88-106.

9. 1998 KOTA5, S. & THOMAS, M. O. J. Students' Arithmetic Preferences: Effect on Problem Solving Ability, Hiroshima Journal of Mathematics Education, Hiroshima, Japan: Hiroshima University, 6, 33-48.

8. 1998 GRAHAM3, A. T.  & THOMAS, M. O. J. A Graphic Calculator Approach to Algebra, Mathematics Teaching,167, 34-37.

7. 1997 BURNS-WILSON4, B. E. & THOMAS M. O. J. Computers in primary schools: strategies for overcoming barriers in mathematics, Science and Mathematics Education (SAME) papers, Waikato University, New Zealand, 40-60.

6. 1996 THOMAS, M.O.J., TYRRELL1, J. & BULLOCK4, J. Using Computers in the Mathematics Classroom: The Role of the Teacher, Mathematics Education Research  Journal, April, 8(1), 38-57.

5. 1995 THOMAS, M.O.J. Two Major Difficulties For Secondary Algebra Students Constructing Mathematical Thinking, Science and Mathematics Education (SAME) papers, Waikato University, New Zealand,  239-259.

4. 1995 FUNNELL3, L., MARSH4, T. & THOMAS, M.O.J. Strategies for Integrating Computers into Mathematics Lessons - Emphasising Spreadsheets, Science and Mathematics Education (SAME) papers, Waikato University, New Zealand, 223-238.

3. 1991 TALL3, D. O. & THOMAS, M.O.J. Encouraging Versatile Thinking in Algebra Using The Computer, Educational Studies in Mathematics, 22, 125-147.

2. 1989 TALL3, D. O. & THOMAS, M.O.J. Versatile Learning and the Computer, Focus on Learning Problems in Mathematics Special Issue on Visualisation and  Mathematics Education, 11(2), 117-126.

1. 1987 THOMAS M.O.J. Algebra with the Aid of a Computer, Maths in Schools, 16/1, January, 36-38.

 

Sections in Books:

7. 2009 THOMAS, M. O. J. Hand-held technology in the mathematics classroom: Developing pedagogical technology knowledge. In J. Averill, D. Smith, & R. Harvey (Eds.) Teaching secondary school students mathematics and statistics: Evidence based practice, (Vol. 2, pp. 147-160). Wellington: NZCER.

6. 2008 THOMAS, M. O. J., & CHINNAPPAN1, M. Teaching and learning with technology: Realising the potential. In H. Forgasz, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W-T. Seah, P. Sullivan, & S. Willis (Eds.), Research in Mathematics Education in Australasia 2004-2007 (pp. 167-194). Sydney: Sense Publishers.

5. 2004 THOMAS, M. O. J., MONAGHAN3, J., PIERCE3, R. Computer algebra systems and algebra: Curriculum, assessment, teaching, and learning. In K. Stacey, H. Chick, & M. Kendal (Eds.), The teaching and learning of algebra: The 12th ICMI study (pp. 155-186). Norwood, MA: Kluwer Academic Publishers.

4. 2003 THOMAS, M. O. J. & HOLTON3, D. Technology as a Tool for Teaching Undergraduate Mathematics, In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.) Second International Handbook of Mathematics Education (Vol. 1, pp. 347-390). Dordrecht: Kluwer.

3. 2002 THOMAS, M. O. J. Versatile Thinking in Mathematics In D. O. TALL3, & M. O. J. THOMAS (Eds.) Intelligence, Learning and Understanding in Mathematics (pp. 179-204). Flaxton, Queensland, Australia: Post Pressed. ISBN 1 876682 32 9.

2. 1991 ALIBERT3, D. & THOMAS, M.O.J. Research on Advanced Mathematical Proof, in D.O. Tall (Ed.), Advanced Mathematical Thinking  Dordrecht: Kluwer, 215-230.

1. 1986. TALL3, D. O. & THOMAS, M.O.J. Playing Algebra with the Computer, in  N. Bufton (Ed.), Microelectronics Programme Reader Number 8: Exploring Mathematics with  Micro-Computers, 59-74.

 

Books and proceedings:

10. 2008 THOMAS, M. O. J.  (Ed.) A concrete approach to the architecture of mathematics. Collected papers of Z. P. Dienes. The University of Auckland, In print.

9. 2008 THOMAS, M. O. J.  (Ed.) The transition from school to university. Special issue of Mathematics Education Research Journal.

8. 2003 BARTON, B., OATES, G., REILLY, I., & THOMAS, M. O. J. (Eds.) Communications of Remarkable Delta:03, Fourth Southern Hemisphere Symposium on Mathematics and Statistics Teaching and Learning, 1-302.

7. 2003 THOMAS, M. O. J. & OATES, G. (Eds.) Proceedings of Remarkable Delta:03, Fourth Southern hemisphere Symposium on Mathematics and Statistics Teaching and Learning, Supplementary Issue of New Zealand Journal of Mathematics, 32, 1-230.

6. 2002 TALL3, D. O. & THOMAS, M. O. J. (Eds.) Intelligence, Learning and Understanding in Mathematics, Flaxton, Queensland, Australia: Post Pressed, 1-299.  ISBN 1 876682 32 9.

5. 2002 B. BARTON, K. IRWIN, M. PFANNKUCH and M. O. J. THOMAS (Eds.) Mathematics Education in the South Pacific (Proceedings of the 25th Mathematics Education Research Group of Australasia Conference) Auckland: MERGA, 1-740. ISBN 0-86869-048-1, 0-86869-054-6, 0-86869-053-8.

4. 2001 CHINNAPPAN1, M. & THOMAS, M. O. J. (Eds.) Mathematics Education Research Journal Special Issue Technology in Mathematics Learning and Teaching, 12(3), 172-340. ISSN 1033-2170.

3.2000 M. O. J. Thomas (Ed.) Proceedings of TIME 2000 an International Conference on the Technology in Mathematics Education, Auckland, New Zealand: The University of Auckland, 1-288. ISBN 086869-029-5.

2. 1997. THOMAS, M. O. J. (Ed.) Proceedings of the 7th Australasian Bridging Network Mathematics Conference, Auckland, NZ, 1-233.

1. 1996 THOMAS, M.O.J. (Ed.) Readings - 1996 from the Mathematics Education Unit, Auckland: Mathematics Education Unit, 1-146.

 

Papers in Refereed Conference Proceedings:

75. 2008 DREYFUS, T., THOMAS, M. O. J., BROWN, J. P., & WILLIAMS, G. The construction of knowledge: Theoretical approaches, Invited symposium, In M. Goos, K. Makar, & R. Brown (Eds.). Navigating currents and charting directions (Proceedings of the 30th Annual Conference of the Mathematics Education Research Group of Australasia, Vol. 2, pp. 665-666), Brisbane: MERGA.

74. 2008 NATARAJ5, M. S. & THOMAS, M. O. J. From one to infinity: historical development and student view of large numbers. Poster at 3rd International conference to review research on Science, Technology and Mathematics Education (epiSTEME3), Mumbai, India.

73. 2008 STEWART5, S. & THOMAS, M. O. J. Embodied, symbolic and formal thinking for linear combination and independence in linear algebra. Presented at ICME-11 Topic Study Group 17, Monterrey, Mexico. Available from: http://tsg.icme11.org/tsg/get/533, details at http://tsg.icme11.org/tsg/show/18.

72. 2008 WILSON, A. J., THOMAS, M. O. J., LIM, V. K. & CORBALLIS, M. C. Parietal areas involved in format-independent representation of mathematical functions. Poster presented at Human Brain Mapping Conference, June, Melbourne, Australia.

71. 2008 STEWART5, S. & THOMAS, M. O. J. Linear Algebra Thinking: Embodied, Symbolic and Formal Aspects of Linear Independence. Proceedings of the 11th Annual Conference of the Special Interest Group of the Mathematical Association of America (SIGMAA) on Research in Undergraduate Mathematics Education, San Diego, USA. Available from electronic proceedings http://cresmet.asu.edu/crume2008/Proceedings/ RUME08_Stewart_Thomas.doc.

70. 2008 THOMAS, M. O. J., WILSON, A. J., CORBALLIS, M. C., & LIM, V. K. Neuropsychological Evidence for the Role of Graphical and Algebraic Representations in Understanding Function. In M. Goos, K. Makar, & R. Brown (Eds.). Navigating currents and charting directions (Proceedings of the 30th Annual Conference of the Mathematics Education Research Group of Australasia, Vol. 2, pp. 515-521), Brisbane: MERGA.

69. 2008 THOMAS, M. O. J. Conceptual Representations and Versatile Mathematical Thinking, Proceedings of ICME-10 (CD version of proceedings). Copenhagen, Denmark, 1-18. Paper Available from http://www.icme10.dk/proceedings/pages/regular_pdf/RL_Mike_Thomas.pdf.

68. 2008 STEWART5, S. & THOMAS, M. O. J., Student learning of basis in linear algebra. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, A. Sepulveda (Eds.) Proceedings of the Joint Conference of PME 32 and PME-NA (Vol. 4, pp. 281-288). Morelia, Mexico.

67. 2008 NATARAJ5, M. S. & THOMAS, M. O. J. Using history of mathematics to develop student understanding of number system structure. In R. Cantoral, F. Fasanelli, A. Garciadiego, R. Stein, C. Tzanakis, (Eds.), Electronic Proceedings of History and Pedagogy of Mathematics Conference, Mexico City, Mexico. Available from http://www.clab.edc.uoc.gr/HPM/.

66. 2007 THOMAS, M. O. J., HONG5, Y. Y., BOSLEY3, J., & DELOS SANTOS5. A. (2007). Calculator use in the mathematics classroom: A longitudinal study, In Wei-Chi Yang, T. de Alwis & Jen-chung Chuan (Eds.), Proceedings of the 12th Asian Technology Conference in Mathematics  (C, pp. 37-47). Taiwan: ATCM. ISSN 1940-4204. Available from http://atcm.mathandtech.org/EP2007/EP2007.htm.

65. 2007 STEWART5, S. & THOMAS, M. O. J. Eigenvalues and eigenvectors: Formal, symbolic and embodied thinking. Proceedings of the 10th Annual Conference of the Special Interest Group of the Mathematical Association of America (SIGMAA) on Research in Undergraduate Mathematics Education, San Diego, USA. Available from electronic proceedings http://cresmet.asu.edu/crume2007/eproc.html.

64. 2007 NATARAJ5, M. S. & THOMAS, M. O. J. Developing the concept of place value, 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, Vol. 2, pp. 523- 532). Hobart: MERGA.

63. 2007 STEWART5, S. & THOMAS, M. O. J., Embodied, Symbolic and Formal Aspects of Basic Linear Algebra Concepts, In J-H. Woo, H-C. Lew, K-S. Park, & D-Y. Seo (Eds.) Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education, (Vol. 4, pp. 201-208). Seoul, Korea.

62. 2006 HONG5, Y. Y. & THOMAS M. O. J. Factors influencing teacher integration of graphic calculators in teaching. Proceedings of the 11th Asian Technology Conference in Mathematics, Hong Kong, 234-243.

61. 2006 THOMAS, M. O. J. Developing versatility in mathematical thinking, Proceedings of Retirement as Process and Concept: A Festshcrift for Eddie Gray and David Tall, Charles University, Prague, Czech Republic, 223–241.

60. 2006 STEWART5, S. & THOMAS, M. O. J. Student thinking about eigenvalues and eigenvectors: Formal, symbolic and embodied notions, In P. Grootenboer, R. Zevenbergen & M. Chinnappan (Eds.), Identities, cultures and learning spaces (Proceedings of the 29th Annual Conference of the Mathematics Education Research Group of Australasia Vol. 2, pp. 487-495). Canberra, Australia.

59. 2006 THOMAS, M. O. J. Teachers Using Computers In Mathematics: A Longitudinal Study, In C. Hoyles, J.-B. Lagrange, L. H. Son, & N. Sinclair (Eds.), Proceedings of the Seventeenth ICMI Study Conference "Technology Revisited" (pp. 545-554 of CD version of Proceedings, Dec. 3-8, 2006). Hanoi, Vietnam: Hanoi University of Technology.

58. 2006 THOMAS, M. O. J. Teachers Using Computers In The Mathematics Classroom: A Longitudinal Study. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Prague, Czech Republic, 5, 265–272.

57. 2006 STEWART5, S. & THOMAS, M. O. J. Process-Object Difficulties In Linear Algebra: Eigenvalues And Eigenvectors. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, Prague, Czech Republic, 5, 185–192.

56 2005 SANTOS5, A. G. DELOS, & THOMAS M. O. J. The Growth of Schematic Thinking about Derivative, in Building connections: Theory, research and practice,  Proceedings of the 28th Mathematics Education Research Group of Australasia Conference, Melbourne, Australia, 1, 377-384.

55 2005 STEWART5, S. & THOMAS, M. O. J. University Student Perceptions of CAS Use in Mathematics Learning, Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Melbourne, Australia, 4, 233-240.

54 2005 THOMAS, M. O. J. & HONG5, Y. Y. Teacher Factors in Integration of Graphic Calculators Into Mathematics Learning, Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Melbourne, Australia, 4, 257-264.

53. 2005 THOMAS, M. O. J. Conceptual Representations and Versatile Mathematical Thinking, Proceedings of ICMI-10, Copenhagen, Denmark, accepted for publication.

52. 2004 CHINNAPPAN1, M. & THOMAS, M. O. J. Use of graphic calculators to promote the construction of algebraic meaning, Proceedings of the NCGC 2nd National Conference on Graphing Calculators, Penang, 21-27.

51 2004 STEWART5, S. & THOMAS, M. O. J. The Learning of Linear Algebra Concepts: Instrumentation of CAS Calculators, Proceedings of the 9th Asian Technology Conference in Mathematics 2004, Singapore, 377-386.

50 2004 HONG5, Y. Y. & THOMAS M. O. J. Integrating CAS Calculators in Teaching: An Inexperienced Teacher's Approach, Proceedings of the 9th Asian Technology Conference in Mathematics 2004, Singapore, 262-271.

49 2004 NATARAJ5, M. S. & THOMAS, M. O. J. Expansion of binomials and factorisation of quadratic expressions: Exploring a Vedic method, Short Communication in Proceedings of the 27th Mathematics Education Research Group of Australasia Conference, Townsville, 633.

48 2004 GODFREY5, D. & THOMAS, M. O. J.  What do they see when they look? A student’s perspective on equations, Proceedings of the 27th Mathematics Education Research Group of Australasia Conference, Townsville, 263-270.

47 2004 THOMAS M. O. J. & HONG5, Y. Y. Integrating CAS Calculators into Mathematics Learning: Issues of Partnership, Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, Bergen, Norway, 4, 297-304.

46 2003 GODFREY5, D. & THOMAS, M. O. J. Student perspectives on equation: Constructing the mathematical object, In L. Bragg, C. Campbell, G. Herbert, & J. Mousley (Eds.) Mathematics Education Research: Innovation, Networking, Opportunity  (Proceedings of the 26th Mathematics Education Research Group of Australasia Conference, pp. 396-403) Geelong: MERGA.

45 2003 THOMAS M. O. J. The role of representation in teacher understanding of function, Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education, Honolulu, Hawaii, 4, 291-298.

44 2003 SANTOS5, A. G. DELOS, & THOMAS M. O. J. Representational ability and understanding of derivative, Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education, Honolulu, Hawaii, 2, 325-332.

43 2003 THOMAS, M. O. J. & VELA3, C. Computers in the primary classroom: Barriers to effective use, Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education, Honolulu, Hawaii, 4, 347-354.

42 2002 SANTOS5, A. G. DELOS, & THOMAS, M. O. J. Teaching Derivative with Graphic Calculators: The Role of a Representational Perspective, In W-C. Yang, S-C. Chu, T. de Alwis, & F. M. Bhatti (Eds.) Proceedings of the 7th Asian Technology Conference in Mathematics 2002, Melaka, Malaysia, 349-358.

41. 2002 HONG5, Y. Y. & THOMAS, M. O. J. Representational versatility and linear algebraic equations, Proceedings of the International Conference on Computers in Education, ICCE 2002, Auckland, 2, 1002-1006.

40. 2002 LIYANAGE5, S. & THOMAS, M. O. J. Characterising Secondary School Mathematics Lessons Using Teachers’ Pedagogical Concept Maps. In B. Barton, K. Irwin, M. Pfannkuch, & M. O. J. Thomas (Eds.) Mathematics Education in the South Pacific (Proceedings of the 25th Mathematics Education Research Group of Australasia Conference, pp. 425-432) Auckland: MERGA.

39. 2002 HONG5, Y. Y, THOMAS, M. O. J. Building Newton-Raphson Concepts With CAS, Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education, Norwich, UK, 3, 103-112.

38. 2002 SANTOS5, A. G. DELOS. & THOMAS, M. O. J. Teacher Perspectives on Derivative, In B. Barton, K. Irwin, M. Pfannkuch, & M. O. J. Thomas (Eds.) Mathematics Education in the South Pacific (Proceedings of the 25th Mathematics Education Research Group of Australasia Conference, pp. 211-218). Auckland: MERGA.

37. 2001 SANTOS5, A. G. DELOS. & THOMAS, M. O. J. Representational Fluency and Symbolisation of Derivative, Proceedings of the Sixth Asian Technology Conference in Mathematics, Melbourne, 282-291.

36. 2001 HONG5, Y. Y. & THOMAS, M. O. J. Stimulating Conceptual Learning of Differentiation: A Graphic Calculator Integrated Curriculum, Proceedings of the Sixth Asian Technology Conference in Mathematics, Melbourne, Australia, 292-300.

35 2001 HONG5, Y. Y, THOMAS, M. O. J. Representational Fluency and the Newton-Raphson Method, Proceedings of the International Conference of Computers in Education 2001, Seoul, Korea, 591-599.

34. 2001 THOMAS, M. O. J. Building a conceptual algebra curriculum: The role of technological tools, Proceedings of the International Congress of Mathematical Instruction (ICMI) The Future of the Teaching and Learning of Algebra, Melbourne, 582-589.

33. 2001 THOMAS, M. O. J. &  TALL3 D. O. The long-term cognitive development of symbolic algebra, Proceedings of the International Congress of Mathematical Instruction (ICMI) The Future of the Teaching and Learning of Algebra, Melbourne, 590-597.

32. 2001 GRAY, R. & THOMAS, M. O. J. Quadratic equation representations and graphic calculators: Procedural and conceptual interactions, Proceedings of the 24th Mathematics Education Research Group of Australasia Conference, Sydney, 257-264.

31. 2001 CHINNAPPAN1, M. & THOMAS, M. O. J. Prospective teachers’ perspectives on function representations, Proceedings of the 24th Mathematics Education Research Group of Australasia Conference, Sydney, 155-162.

30. 2001 THOMAS, M. O. J. & HONG5, Y. Y. Representations as Conceptual Tools: Process and Structural Perspectives, Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education, Utrecht, The Netherlands, 4, 257-264.

29  2001 AINLEY3, J., BARTON, B., JONES3, K., PFANNKUCH, M., & THOMAS, M. O. J. Is What You See What You Get? Representations, Metaphors and Tools in Mathematics, In J. Novotná (Ed.) Proceedings of the Second Conference of the European Society for Research in Mathematics Education (pp. 128-138). Mariánské Lázne, Czech Republic: Charles University.

28. 2000 GRAHAM3, A. T.  & THOMAS, M. O. J. A graphic calculator approach to understanding algebraic variables, In M. O. J. Thomas (Ed.) Proceedings of TIME 2000 an International Conference on the Technology  in Mathematics Education, Auckland, 137-144.

27. 2000 HONG5, Y. Y, & THOMAS, M. O. J. Super-calculators and conceptual understanding of the Newton-Raphson method. In M. O. J. Thomas (Ed.) Proceedings of TIME 2000 an International Conference on the Technology  in Mathematics Education, Auckland, 163-171.

26. 2000 CHINNAPPAN1, M. & THOMAS, M. O. J. Function  Representations  and Technology  Enhanced Teaching, Proceedings of the 23rd Mathematics Education Research Group of Australasia Conference, Perth, 172-179.

25. 2000 LIYANAGE5, S. IRWIN, K., & THOMAS, M. O. J. A Framework for Informal Assessment By Secondary School Mathematics Teachers, Proceedings of the 23rd Mathematics Education Research Group of Australasia Conference, Perth, 377-384.

24. 2000 HONG5, Y. Y, THOMAS, M. O. J.  & KWON3, O. Understanding Linear Algebraic Equations via Super-calculator Representations, Proceedings of the 24th Conference  of  the International Group for the Psychology of Mathematics  Education, Hiroshima, Japan, 3, 57-64.

23. 1999 HONG5, Y. Y. & THOMAS, M. O. J. Super-Calculators and Mathematics Examinations, The 7th International Conference on Computers in Education, Chiba, Japan, 483-490. Best paper in conference award.

22. 1999 CHINNAPPAN, M. & THOMAS, M. O. J. Structured knowledge and conceptual modelling of functions by an experienced teacher, Proceedings of the 22nd Mathematics Education Research Group of Australasia Conference, Adelaide, 159-166.

21. 1998 THOMAS, M. O. J. & HALL5, D. A Computer Environment to Encourage Versatile Understanding of Algebraic Equations, Proceedings of the 21st Mathematics Education Research Group of Australasia Conference, Brisbane, 605-612.

20. 1998 KOTA5, S. & THOMAS, M. O. J. The Promotion of Algebraic Problem Solving Performance By Affective Factors, Proceedings of the 22nd Conference  of  the International Group for the Psychology of Mathematics  Education, Stellenbosch, South Africa, short communication, 4, 269.

19. 1998 KOTA5, S. & THOMAS, M. O. J. Affective Factors and the Improvement of Algebraic Problem Solving, Proceedings of the 21st Mathematics Education Research Group of Australasia Conference, Brisbane, 303-310.

18. 1998 HONG5, Y. Y. & THOMAS, M. O. J. Versatile Understanding in Integration, Proceedings of the International  Congress of  Mathematics  Instruction - South East Asian Conference on Mathematics Education, Seoul, Korea, 255-265.

17. 1997 KOTA5, S. & THOMAS, M. O. J. Gender Differences in Algebraic Problem Solving: The Role of Affective Factors, Proceedings of the 21st Conference  of  the International Group for the Psychology of Mathematics  Education, Lahti, Finland, 3, 152-159.

16. 1997 HONG5, Y. Y. & THOMAS, M. O. J. Using the Computer to Improve Conceptual Thinking in Integration, Proceedings of the 21st Conference  of  the International Group for the Psychology of Mathematics  Education, Lahti, Finland, 3, 81-88.

15. 1997 HONG5, Y. Y. & THOMAS, M. O. J. Student Misconceptions in Integration: Procedures and Concepts,  In D. Fisher & T. Rickards (Eds.) Proceedings of the 1997 International  Conference on Science, Mathematics  and Technology Education, Hanoi, Vietnam, 346-354.

14. 1997 GRAHAM3, A. T.  & THOMAS, M. O. J. Tapping into Algebraic Variables Through the Graphic Calculator, Proceedings of the 21st Conference  of  the International Group for the Psychology of Mathematics  Education, Lahti, Finland, 3, 9-16.

13. 1997 DAVIS3, G., TALL3, D. O. & THOMAS, M. O. J. What is the Object of the Encapsulation of a Process? Proceedings of the 20th Mathematics Education Research Group of Australasia Conference, Rotorua, New Zealand,  132-139.

12. 1996 THOMAS, M.O.J. Computers in the Mathematics Classroom: A survey, Proceedings of the 19th Mathematics Education Research Group of Australasia Conference, Melbourne, Australia, 556-563.

11. 1996 THOMAS, M.O.J. & KOTA5, S. Problem Solving in Algebra: The Role of Arithmetic Thinking and Affective factors, Proceedings of the 19th Mathematics Education Research Group of Australasia Conference, Melbourne, Australia, 564-571.

10. 1996 THOMAS, M.O.J. & HONG5, Y. Y. The Riemann Integral in Calculus: Students' Processes and Concepts, Proceedings of the 19th Mathematics Education Research Group of Australasia Conference, Melbourne, Australia,  572-579.

9. 1995 THOMAS, M.O.J. TYRRELL1, J. & BULLOCK4, J. Using a Computer in the Mathematics Classroom: The Effect of Teacher Attitude, Proceedings of the Third British Congress of Mathematics Education, Manchester, UK, 303-310.

8. 1995 BULLOCK4, J., THOMAS, M.O.J. & TYRRELL1 J. Moving the Gatekeeper: Changes in the Mathematics Classroom when Computer Access is not the Issue, Proceedings of the First Asian Technology Conference in Mathematics, Singapore, 95-102.

7. 1994 THOMAS, M.O.J. A Process-Oriented Preference in the Writing of Algebraic Equations, Proceedings of the 17th Mathematics Education Research Group of Australasia Conference, Lismore, Australia, 599-606.

5. 1994 CROWLEY3, L., THOMAS, M.O.J. & TALL3, D.O. Algebra, Symbols and Translation of Meaning, Proceedings of the 18th Conference  of  the International Group for the Psychology of Mathematics  Education, Lisbon, Portugal, II, 240-247. 

5. 1994 BULLOCK4, J., THOMAS M., & TYRRELL1, J. Technology in the Mathematics Classroom: The TIME Project, Proceedings of the 10th New South Wales Computer Education Group Conference, Sydney, 69-76.

4. 1989 THOMAS, M.O.J. & TALL3, D.O. Verbal Evidence for Versatile Understanding of Variables in a  Computer Environment, Proceedings of the 13th Conference  of  the International Group for the Psychology of Mathematics  Education, Paris, 213-220.

3. 1988 THOMAS, M.O.J. & TALL3, D.O. Longer-Term Conceptual Benefits From Using a Computer in  Algebra Teaching, Proceedings of the 12th Conference  of the  International Group for the Psychology of Mathematics  Education, Vesprem, Hungary, 601-608.

2. 1988 TALL3, D. O. & THOMAS, M.O.J. Promoting Versatile Learning of Higher Order Concepts in  Algebra Using the Computer, Proceedings of the British Society  for Research into the Learning of Mathematics, June.  

1. 1986 THOMAS, M.O.J. & TALL3, D. O. The Value of the Computer in Learning Algebra Concepts, Proceedings of the 10th Conference  of the International Group  for the Psychology of Mathematics Education, London, 313-318.  

 

Reviews and comments:

2. 2000 THOMAS, M. O. J. Review of Hi-Flyer Decimal Software, The New Zealand Mathematics Magazine, 37(1), 44-46.

1. 1997. THOMAS, M. O. J. Review of A. Engel, Exploring Mathematics with your Computer, The New Zealand Mathematics Magazine, 34(3), 61-62.

 

Technical reports:

11. THOMAS, M. O. J., BOSLEY, J., & delos SANTOS5. A., GRAY5, R., HONG5, Y. Y., & LOH, J. (2007). Technology use and the teaching of mathematics in the secondary classroom: Summary Report. New Zealand Council for Educational Research, pp. 1-9, Available from http://www.tlri.org.nz/pdfs/9225_summaryreport.pdf.

10. THOMAS, M. O. J., BOSLEY, J., & delos SANTOS. A., GRAY, R., HONG, Y. Y., & LOH, J. (2007). Technology use and the teaching of mathematics in the secondary classroom: Final Report. New Zealand Council for Educational Research, pp. 1-9, Available from http://www.tlri.org.nz/pdfs/9225_finalreport.pdf.

9. 2003 HONG5, Y. Y. & THOMAS, M.O.J. TechMath, Mathematics Department, The University of Auckland, 1-45.

8. 2000 GRAY4, R. & THOMAS, M. O. J. A multi-representational approach to solving quadratic equations for junior secondary mathematics students, Mathematics Department, The University of Auckland, 1-50.

7. 1999 HONG5, Y. Y. & THOMAS, M.O.J. Calculus on the TI-92, Mathematics Department, The University of Auckland, 1-32.

6. 1999 HONG5, Y. Y. & THOMAS, M.O.J. Algebra on the TI-92, Mathematics Department, The University of Auckland, 1-18.

5. 1998 HONG5, Y. Y., KIERNAN5, C & THOMAS, M.O.J. Algebra and Calculus on the TI-92, Mathematics Department, The University of Auckland, 1-43.

4. 1998 HONG5, Y. Y., KIERNAN5, C & THOMAS, M.O.J. Computer Algebra Systems and Bursary Mathematics with Calculus Examinations: Issues of Equity. University of Auckland: Mathematics Education Unit, 1-8.

3. 1996 THOMAS, M.O.J. Readings in Algebra,  Collected papers on Research in Algebra, Mathematics Department, The University of Auckland, 1-81.

2. 1994 BARTON, B., BULLOCK4, J., ELLIS1, J., REGAN2, M., THOMAS M.O.J. & TYRRELL1, J. Technology in Mathematics Education (TIME), Report for the Ministry of Education on Research into the Use of Technology in the Mathematics Classroom, The University of Auckland, New Zealand, 1-256.

1. 1988 THOMAS, M.O.J. & TALL3, D.O. Dynamic Algebra, in a Mathematics Association Special Report on Using the Computer in the Mathematics Classroom, C1-C26.  

 

Other Works (PEER REVIEWED PAPERS):

21. 2008 THOMAS, M. O. J. From the Archives: 50 years ago V. New Zealand Mathematics Magazine, 45(1), 38-44.

20. 2007 NATARAJ5, M. S., & THOMAS, M. O. J. Developing the Concept of Place Value. New Zealand Mathematics Magazine, 44(2), 1-13.

19. 2007 THOMAS, M. O. J. From the Archives: 50 years ago V. New Zealand Mathematics Magazine, 44(3), 27-32.

18. 2007 THOMAS, M. O. J. From the Archives: 50 years ago IV. New Zealand Mathematics Magazine, 44(2), 31-38.

17. 2007 THOMAS, M. O. J. From the Archives: 50 years ago III. New Zealand Mathematics Magazine, 44(1), 19-29.

16. 2006 THOMAS, M. O. J. Teachers using computers in the mathematics classroom: A longitudinal study. New Zealand Mathematics Magazine, 43(3), 6-16.

15. 2006 THOMAS, M. O. J. 50 years ago: II. New Zealand Mathematics Magazine, 43(3), 31-41.

14. 2006 THOMAS, M. O. J. 50 years ago: I. New Zealand Mathematics Magazine, 43(2), 46-53.

13. 2003 DELOS SANTOS5, A. & THOMAS, M. O. J. Teacher Perspectives on Derivative New Zealand Mathematics Magazine, 40(1), 22–32.

12. 2003 LIYANAGE5, S. & THOMAS, M. O. J. Characterising Secondary School Mathematics Lessons Using Teachers’ Pedagogical Concept Maps. New Zealand Mathematics Magazine, 39(3), 12–22.

11. THOMAS, M. O. J. (Ed.) (2001 on). The New Zealand Mathematics Magazine, Auckland: Auckland Mathematical Association (Inc.). ISSN 0549-0510.

10. 2002 OATES5, G. & THOMAS, M. O. J. Indicators for change: A report on the implementation of CAS calculators into a first year tertiary mathematics course, In M. Statham (Ed.) Proceedings of the 10th Australasian Bridging Mathematics Network Conference (pp. 130–139). Auckland.

9. 2001 OATES5, G. & THOMAS, M. O. J. Throwing out the bath water? Adapting curricula to reflect changes in technology. Communications of Warthog Delta ‘01, The Third Southern Hemisphere Symposium on Undergraduate Mathematics Teaching, Kruger National Park, South Africa, 79–84.

8. 1999 THOMAS, M. O. J. Skilled Calculator Use, New Zealand Mathematics Magazine, 36(1), 8–15.

7. 1999 GRAHAM3, A. T.  & THOMAS, M. O. J. A Graphic Calculator Approach to Algebra, New Zealand Mathematics Magazine, 1–7.

6. 1998 THOMAS, M. O. J. Versatile Understanding of Linear Equations, Paper presented at the New Zealand Mathematics Colloquium, Wellington: Victoria University.

5. 1997 THOMAS, M. O. J. Mathematics Education Sites on the Internet,  Biennial Conference of the New Zealand Association of Mathematics Teachers, Palmerston North, NZ.

4. 1996 JONES4, B. E.  & THOMAS, M.O.J. Computers in Primary School Mathematics: Strategies for Overcoming Barriers, Conference of the New Zealand Association for Research in Education, Nelson, New Zealand, Dec.

3. 1995 THOMAS, M.O.J. Computers in the New Zealand Classroom: where are we and where are we going? Conference of the New Zealand Association for Research in Education, Palmerston North, New Zealand.

2. 1994 ELLIS1, J., PFANNKUCH, M., BARTON, B. & THOMAS M.O.J. Mathematics Curriculum Change Longitudinal Investigation: Report of Work in Progress. Proceedings of the Conference of the New Zealand Association for Research in Education, Dec.

1. 1993 THOMAS, M.O.J. The Progress of the Technology in Mathematics Education Research Project, The 3rd Conference of the New Zealand Association of Mathematics Teachers, Christchurch, New Zealand, August.

 

 


Last changed 24 February 2009

 

Send suggestions and queries to moj.thomas@auckland.ac.nz.