**Mike Thomas - Published
Research Papers**

** **

**Refereed
Journal Articles:**

32. 2009 NATARAJ^{5},
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
GODFREY^{5}, 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., HONG^{5}, Y. Y., BOSLEY, J., & DELOS SANTOS^{5}.
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 STEWART^{5},
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 NATARAJ^{5},
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 GRAHAM^{3},
A., & THOMAS M. O. J. Representational versatility in learning statistics, *International Journal of Technology in Mathematical
Education, 12*(1), 3–14.

24. 2005 STEWART^{5},
S., THOMAS, M. O. J. & HANNAH^{3}, 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. & HONG^{5}, Y. Y. Learning Mathematics with CAS
Calculators: Integration and Partnership Issues, *The Journal of Educational **Research in Mathematics*, *15*(2), 215-232.

22. 2003 STEWART^{5},
S. & THOMAS, M. O. J. Difficulties in the acquisition of linear
algebra concepts, *New Zealand Journal of Mathematics, 32, *207-215.

21.
2003 CHINNAPPAN^{1}, M. & THOMAS, M. O. J. TeachersÕ Function
Schemas and their Role in Modelling, *Mathematics Education Research Journal,
15*(2).
151-170.

20.
2003 SANTOS^{5}, 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 PATADIA^{3}, H. & THOMAS, M. O. J. Multicultural aspects of
mathematics teacher education programmes,* Mathematics Teacher Education and
Development*, MERGA, *4*, 57-68.

18.
2001 GRAY^{3}, 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 HONG^{5}, 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 CHINNAPPAN^{1}, 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
HONG^{5}, Y. Y., THOMAS, M. O. J. & KIERNAN^{5}, 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 TALL^{3}, D., GRAY^{3}, E., BIN ALI^{3}, M.,
CROWLEY^{3}, L., DEMAROIS^{3}, P., MCGOWEN^{3}, M.,
PITTA^{3}, D., PINTO^{3}, M., THOMAS, M. O. J., & YUSOF^{3},
Y. Symbols and the Bifurcation between Procedural and Conceptual Thinking, *Canadian
Journal of Science, Mathematics and Technology Education,* 1, 80-104.

13.
2000 GRAHAM^{3}, 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 BOOTH^{5} , 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 TALL^{3}, D. O., THOMAS, M. O. J., DAVIS^{3}, G., GRAY^{3},
E. & SIMPSON^{3}, A. What is the Object of the Encapsulation of a
Process? *Journal of Mathematical Behavior,* 18(2), 223-241.

10.
1999 KIERNAN^{5}, C, OATES^{5}, G. & THOMAS, M.O.J. Graphic
Calculators and Mathematics Assessment, *Science and Mathematics Education
(SAME) papers, *Waikato University, New Zealand,* *88-106.

9.
1998 KOTA^{5}, 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 GRAHAM^{3}, A. T.
& THOMAS, M. O. J. A Graphic Calculator Approach to Algebra, *Mathematics
Teaching,*167,
34-37.

7.
1997 BURNS-WILSON^{4}, 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., TYRRELL^{1}, J. & BULLOCK^{4}, 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 FUNNELL^{3}, L., MARSH^{4}, 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 TALL^{3}, D. O. & THOMAS, M.O.J. Encouraging Versatile
Thinking in Algebra Using The Computer, *Educational Studies in Mathematics*, 22,
125-147.

2.
1989 TALL^{3}, 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., & CHINNAPPAN^{1},
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., MONAGHAN^{3}, J., PIERCE^{3}, 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.
& HOLTON^{3}, 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. TALL^{3},
& 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 ALIBERT^{3},
D. & THOMAS, M.O.J. Research on Advanced Mathematical Proof, in D.O. Tall
(Ed.), *Advanced Mathematical Thinking* Dordrecht: Kluwer, 215-230.

1. 1986. TALL^{3},
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 TALL^{3}, 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* *25^{th}
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
CHINNAPPAN^{1}, 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 30^{th} Annual Conference of the Mathematics
Education Research Group of Australasia, Vol. 2, pp. 665-666), Brisbane: MERGA.

74. 2008
NATARAJ^{5}, 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 STEWART^{5}, 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 STEWART^{5}, S.
& THOMAS, M. O. J. Linear Algebra Thinking:
Embodied, Symbolic and Formal Aspects of Linear Independence. *Proceedings
of the 11 ^{th} 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 30^{th} 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 STEWART^{5}, 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 NATARAJ^{5},
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., HONG^{5}, Y. Y., BOSLEY^{3}, J., & DELOS SANTOS^{5}.
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 12 ^{th} Asian Technology
Conference in Mathematics * (C, pp. 37-47).

65. 2007 STEWART^{5},
S. & THOMAS, M. O. J. Eigenvalues and eigenvectors: Formal, symbolic and
embodied thinking. *Proceedings of the 10 ^{th} 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 NATARAJ^{5},
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 30^{th} Annual Conference of the Mathematics Education Research
Group of Australasia, Vol. 2, pp. 523- 532). Hobart: MERGA.

63. 2007 STEWART^{5},
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 31 ^{st} Conference of the International
Group for the Psychology of Mathematics Education, *(Vol. 4, pp. 201-208). Seoul, Korea.

62. 2006 HONG^{5},
Y. Y. & THOMAS M. O. J. Factors influencing teacher integration of graphic
calculators in teaching. *Proceedings of the 11 ^{th} 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 STEWART^{5},
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 29^{th}
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 30 ^{th} Conference of the International
Group for the Psychology of Mathematics Education,* Prague, Czech Republic,

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

56
2005 SANTOS^{5}, A. G. DELOS, & THOMAS M. O. J. The Growth of
Schematic Thinking about Derivative, *in Building connections: Theory,
research and practice, Proceedings
of the 28 ^{th} Mathematics Education Research Group of Australasia
Conference, *Melbourne, Australia

55
2005 STEWART^{5}, S. & THOMAS, M. O. J. University Student
Perceptions of CAS Use in Mathematics Learning, *Proceedings of the 29 ^{th}
Conference of the International Group for the Psychology of Mathematics
Education, *Melbourne, Australia,

54 2005 THOMAS, M. O. J. &
HONG^{5}, Y. Y. Teacher Factors in Integration of Graphic Calculators
Into Mathematics Learning, *Proceedings of the 29 ^{th} Conference of the
International Group for the Psychology of Mathematics Education*, Melbourne, Australia,

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

52.
2004**
**CHINNAPPAN^{1}, 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 STEWART^{5}, S. & THOMAS, M.
O. J. The Learning of Linear Algebra Concepts:
Instrumentation of CAS Calculators, *Proceedings of the 9 ^{th}
Asian Technology Conference in Mathematics 2004, *Singapore,
377-386.

50 2004 HONG^{5}, Y. Y. & THOMAS M.
O. J. Integrating CAS Calculators in Teaching: An Inexperienced
Teacher's Approach, *Proceedings of the 9 ^{th} Asian
Technology Conference in Mathematics 2004, *Singapore,
262-271.

49 2004 NATARAJ^{5}, M. S. & THOMAS,
M. O. J. Expansion of binomials and factorisation of quadratic expressions:
Exploring a Vedic method, *Short Communication in Proceedings of the 27 ^{th}
Mathematics Education Research Group of Australasia Conference*, Townsville,
633.

48 2004 GODFREY^{5}, D. & THOMAS, M.
O. J. What do they see when they
look? A studentÕs perspective on equations, *Proceedings of the 27 ^{th}
Mathematics Education Research Group of Australasia Conference*, Townsville,
263-270.

47 2004** **THOMAS M. O.
J. & HONG^{5}, Y. Y. Integrating CAS Calculators into Mathematics
Learning: Issues of Partnership,* Proceedings of the 28 ^{th}
Conference of the International Group for the Psychology of Mathematics
Education*, Bergen,
Norway,

46 2003 GODFREY^{5},
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* *26^{th} 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 27 ^{th} Conference of the International Group for the Psychology of
Mathematics Education*, Honolulu, Hawaii,

44 2003 SANTOS^{5},
A. G. DELOS, & THOMAS M. O. J. Representational ability and
understanding of derivative, *Proceedings of the 27 ^{th} Conference
of the International Group for the Psychology of Mathematics Education*, Honolulu,
Hawaii,

43 2003 THOMAS, M. O. J.
& VELA^{3}, C. Computers in the primary classroom: Barriers to
effective use, *Proceedings of the 27 ^{th} Conference of the
International Group for the Psychology of Mathematics Education*, Honolulu,
Hawaii,

42 2002 SANTOS^{5},
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 7 ^{th} Asian
Technology Conference in Mathematics 2002, *Melaka,
Malaysia, 349-358.

41. 2002 HONG^{5},
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 LIYANAGE^{5},
S. & THOMAS, M. O. J. Characterising Secondary School Mathematics Lessons
Using TeachersÕ Pedagogical Concept Maps. In B. Barton, K. Irwin, M. Pfannkuch,
& M. O. J. Thomas (Eds.) *Mathematics Education in the South Pacific *(Proceedings
of the* *25^{th}
Mathematics Education Research Group of Australasia Conference, pp. 425-432)
Auckland: MERGA.

39. 2002 HONG^{5},
Y. Y, THOMAS, M. O. J. Building Newton-Raphson Concepts With CAS, *Proceedings
of the 26 ^{th} Conference of the International Group for the Psychology
of Mathematics Education*, Norwich, UK,

38. 2002 SANTOS^{5},
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* *25^{th}
Mathematics Education Research Group of Australasia Conference, pp. 211-218).
Auckland: MERGA.

37. 2001** **SANTOS^{5},
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 HONG^{5},
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 HONG^{5},
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. & TALL^{3} 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 24 ^{th}
Mathematics Education Research Group of Australasia Conference*, Sydney,
257-264.

31. 2001** **CHINNAPPAN^{1},
M. & THOMAS, M. O. J. Prospective teachersÕ perspectives on function
representations, *Proceedings of the 24 ^{th} Mathematics Education
Research Group of Australasia Conference*, Sydney, 155-162.

30. 2001** **THOMAS, M. O.
J. & HONG^{5}, Y. Y. Representations as Conceptual Tools: Process
and Structural Perspectives, *Proceedings of the 25 ^{th} Conference
of the International Group for the Psychology of Mathematics Education*, Utrecht,
The Netherlands,

29 2001 AINLEY^{3}, J., BARTON,
B., JONES^{3}, K., PFANNKUCH, M., & THOMAS, M. O. J. Is What You
See What You Get? Representations, Metaphors and Tools in Mathematics, In J. Novotn‡
(Ed.) *Proceedings of the Second Conference of the European Society for
Research in Mathematics Education *(pp. 128-138). Mari‡nskŽ L‡zne, Czech
Republic: Charles University.

28. 2000 GRAHAM^{3},
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 HONG^{5},
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 CHINNAPPAN^{1},
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 LIYANAGE^{5},
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 HONG^{5},
Y. Y, THOMAS, M. O. J. & KWON^{3},
O. Understanding Linear Algebraic Equations via Super-calculator
Representations, *Proceedings of the 24 ^{th} Conference of the International Group for the Psychology of
Mathematics Education*, Hiroshima,
Japan, 3, 57-64.

23. 1999 HONG^{5},
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. & HALL^{5}, 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 KOTA^{5},
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 KOTA^{5},
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 HONG^{5},
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 KOTA^{5},
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 HONG^{5},
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 HONG^{5},
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 GRAHAM^{3},
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 DAVIS^{3},
G., TALL^{3}, 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.
& KOTA^{5}, 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.
& HONG^{5}, 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.
TYRRELL^{1}, J. & BULLOCK^{4}, 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 BULLOCK^{4},
J., THOMAS, M.O.J. & TYRRELL^{1} 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 CROWLEY^{3},
L., THOMAS, M.O.J. & TALL^{3}, 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 BULLOCK^{4},
J., THOMAS M., & TYRRELL^{1}, 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.
& TALL^{3}, 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.
& TALL^{3}, 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 TALL^{3},
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.
& TALL^{3}, 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 SANTOS^{5}. A., GRAY^{5}, R., HONG^{5},
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 HONG^{5},
Y. Y. & THOMAS, M.O.J. *TechMath*, Mathematics Department,
The University of Auckland, 1-45.

8. 2000 GRAY^{4},
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 HONG^{5}, Y. Y. & THOMAS, M.O.J. *Calculus on the TI-92*, Mathematics
Department, The University of Auckland, 1-32.

6.
1999 HONG^{5}, Y. Y. & THOMAS, M.O.J. *Algebra on the TI-92*, Mathematics
Department, The University of Auckland, 1-18.

5.
1998 HONG^{5}, Y. Y., KIERNAN^{5}, C & THOMAS, M.O.J. *Algebra
and Calculus on the TI-92*, Mathematics Department, The University of
Auckland, 1-43.

4.
1998 HONG^{5}, Y. Y., KIERNAN^{5}, 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., BULLOCK^{4}, J., ELLIS^{1}, J., REGAN^{2},
M., THOMAS M.O.J. & TYRRELL^{1}, 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.
& TALL^{3}, 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
NATARAJ^{5}, 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 SANTOS^{5}, A. & THOMAS, M.
O. J. Teacher Perspectives on Derivative* New Zealand Mathematics Magazine,* *40*(1), 22–32.

12. 2003 LIYANAGE^{5}, S. & THOMAS, M. O.
J. Characterising Secondary School Mathematics Lessons Using TeachersÕ
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 OATES^{5}, 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 10 ^{th} Australasian Bridging Mathematics Network Conference *(pp. 130–139). Auckland.

9. 2001** **OATES^{5}, G. & THOMAS, M. O. J. Throwing
out the bath water? Adapting curricula to reflect changes in technology. *Communications
of Warthog Delta Ô01, 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 GRAHAM^{3}, 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 JONES^{4}, 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 ELLIS^{1}, 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.