Selected Publications
Sinclair, N. (in press). The history of the geometry curriculum in the United States. IAP - Information Age Publishing Inc. (212 pages).
Crespo. S. and Sinclair, N. (in press). What can it mean to pose a 'good' problem? Inviting prospective teachers to pose better problems. Journal of Mathematics Teacher Education.
Sinclair, N. (in press). A powerful tool for doing and learning mathematics. In M. Carlson and C. Rasmussen (Eds), Making the connection: Research and practice in undergraduate mathematics. Mathematical Association of America.
Sinclair, N. (2007). The teacher as midwife: What can mathematics education research learn from obstetrics? In K. Nolan and E Defrietas (eds), Opening the research text: Critical insights and in(ter)ventions into mathematics education. New York: Springer, to appear.
Hawkins, A. and Sinclair, N. (2007). Explorations in Topogeometry using Sketchpad. International Journal of Computers for Mathematics Learning.
Healy, L. & Sinclair, N. (2007). If this is your mathematics, what are your stories? International Journal of Computers for Mathematics Learning.
Sinclair, N. (2006). Mathematics and beauty: Aesthetic approaches to teaching children. New York: Teachers College Press.
Sinclair, N., Higginson, W. and D. Pimm. (2006). Mathematics and the aesthetic: Modern approaches to an ancient affinity. New York: Springer-Verlag.
Sinclair, N., Zazkis, R. & Liljedahl, P. (2006). A coloured window on pre-service teachers’ conceptions of rational numbers, International Journal of Computers for Mathematics Learning (to appear).
Sinclair, N. (2006). For the beauty of number theory. In R. Zazkis and S. Campbel (Eds). Number Theory in Mathematics Education: Perspectives and prospects. Dordrecht: Kluwer.
Sinclair, N. and Crespo, S. (2006). Learning mathematics with dynamic computer environments. Teaching Children Mathematics 12(9), 436-444.
Liljedahl, P., Sinclair, N. and Zazkis, R. (2006). Number concepts with Number Worlds: Thickening Understanding. International Journal of Mathematical Education in Science and Technology, 37(3) 253-275.
Zazkis, R., Sinclair, N., and Liljedahl, P. (2006). Conjecturing in a computer microworld: Zooming out and zooming in. Focus on Learning Problems in Mathematics (to appear).
Sinclair, N., Zazkis, R. & Liljedahl, P. (2006). A coloured window on pre-service teachers’ conceptions of rational numbers. International Journal of Computers for Mathematics Learning, 11(2), 177-203.
Sinclair, N. (2005). Chorus, colour, and contrariness in school mathematics. THEN: Journal, 1, Available at http://thenjournal.org/current/.
Sinclair, N. (2005). Mathematics on the Internet. In S. Johnston-Wilder and D. Pimm (Eds.), Teaching Secondary Mathematics effectively with Technology (pp. 203-218). Open University Press.
Sinclair, N. and Jackiw, N. (2005). Understanding and Projecting ICT Trends. In S. Johnston-Wilder and D. Pimm (Eds.), Teaching Secondary Mathematics effectively with Technology (pp. 235-252). Open University Press.
Sinclair, N. (2004). Meet the mathematicians. In L, Burton (Ed.), Mathematicians as enquirers: Learning about learning mathematics. Kluwer Academic Publishers.
Sinclair, N. (2004). The roles of the aesthetic in mathematical inquiry, Mathematical Thinking and Learning. 6(3), 261-284.
Sinclair, N., Zazkis, R. & Liljedahl, P. (2004). Number Worlds: Visual and experimental access to elementary number theory concepts, International Journal of Computers for Mathematics Learning, 8(3), 235-263.
Sinclair, N. (2004). Behold! Rich “demonstration” tasks using Dynamic Geometry. Mathematick lehren, 126, 59-62.
Sinclair, N. and Schiralli, M. (2003). A constructive response to 'Where mathematics comes from', Educational Studies in Mathematics, 52(1), 79-91.
Sinclair, N. (2002). For the beauty of numbers. In A. Cockburn and E. Nardi (Eds.), Proceedings of PME 26, Volume 1, Norwich, UK: University of East Anglia.
Sinclair, N. (2002). The kissing triangles: The aesthetics of mathematical discovery. International Journal of Computers for Mathematics Learning, 7(1), 45-63.
Sinclair, N. (2002). Reconstructing a painting with geometry eyes. For the learning of mathematics, 22(3), 19-22.
Sinclair, N. (2002). Le role de l’esthétique dans l’apprentissage mathématique. Instantanés mathématiques, 38(3).
Sinclair, N. and Jackiw, N. (2002). Dragon play: Microworld design in a whole class context. Journal for Educational Research in Computers, 27(1&2), 111-145.
Sinclair, N. and Watson, A. (2001). Wonder, the rainbow and the aesthetics of rare experiences. For the learning of mathematics, 21(3), 39-42.
Sinclair, N. (2001). The aesthetic is relevant. For the learning of mathematics, 21(1), 25-33.
Sinclair, N. (2000). Alive Maths: Living mathematics on the Web. Proceedings of the International Conference on "Mathematics for Living," Jordan, November 2000.
Taylor, P., and Sinclair, N. (2000). Training our students. Canadian Journal of Mathematics and Science Education, 1, 110-116.
Higginson, B., Sinclair, N., & Jackiw, N. (2000). The SketchMad collaborative: A project to support Ontario teachers using “The Geometer’s Sketchpad.” The Ontario Gazette. December.
Colgan. L., & Sinclair, N. (2000). Matisse Mathematics: Paper dolls and transformational geometry. Mathematics in School. January, 2-8.
Colgan, L., Higginson, W., & Sinclair, N. (2000). connect-ME: Transforming professional development through electronic collaboration and social interaction within the elementary mathematics teaching community. Orbit: Science, Technology and Mathematics Learning for All.
Colgan, L., Higginson, W., & Sinclair, N. (1999). Transforming professional development: An empirical study to determine the key aspects of electronic collaboration and social interaction within the elementary mathematics teaching community. The Alberta Journal of Educational Research, 45(3), 1999, 315 - 319.
Public Presentations/Conferences
October, 2007, Modelling Practices in Sketchpad. Invited Talk. University of Illinois, Chicago.
September, 2007. Modelling Practices in Sketchpad. Invited talk. Canadian Computer Algebra and Dynamic Geometry in Mathematics Education Conference, Nipissing, ON.
April, 2007. What, Why, When, for Whom and When: Toward and aesthetic for school mathematics. Invited talk given at the Fields Institute in Toronto, Canada
April, 2007. An undefinable trace of the Absolute: When mathematics and aesthetics were/are one. Invited talk given at York University, York, Canada.
March, 2007. Mindful of beauty: The aesthetic of mathematical creation. Invited talk. Venice, Italy.
May 2006, Invited Speaker, College Geometry with Sketchpad: Following in the steps of Apollonius. 2006 Joint Annual Meeting Michigan Section—MAA/ Grand Rapids, Michigan.
October 2004, Invited Plenary Presentation, Mathematics, the noetic and the aesthetic: Thinking and sensing in mathematics education. Conference for Psychology of Mathematics Education, North America, Toronto, Canada.
July 2004, Invited Lead Plenary, Embodied Cognition in Mathematics Education. The 10th International Congress on Mathematics Education, Copenhagen, Denmark.
June 2004, Invited Plenary Presentation, Chorus, Colour and Contrariness in School Mathematics. Online Mathematical Investigation as a Narrative Experience. London, Canada
July, 2007. Modelling Practices in Sketchpad. International Community on Teaching Modeling and Applications. Bloomington, Indiana.
May, 2007. Visual thinking about quantitative relationships. Ninth Annual Symposium on Innovative Teaching. Burnaby, BC.
April 2007. Sketchpad and Prealgebraic Reasoning in Grades 3-6 (Research Presession), NCTM Presession, Atlanta, Georgia.
July 2006. What makes a good problem? An aesthetic lens. Proceedings of the conference for Psychology of Mathematics Education. Prague, The Czech Republic.
March, 2006, Abduction in mathematics learning: Necessary Risks. MSU Colloquium Series in Mathematics Education. East Lansing, MI.
February 2006, Using The Geometer’s Sketchpad across the CMP curriculum. CMP user conference, East Lansing, Michigan.
October, 2005, Characteristic Features of Discourse in a Sketchpad Classroom. PME-NA 27, Roanoke, VA,
February 2005, Using The Geometer’s Sketchpad with CMP: Focus on Years 6 and 7. CMP user conference, East Lansing, Michigan.
October 2004, The aesthetic development of mathematicians. PME-NA 2004, Toronto, Ontario.
April 2004. Using Sketchpad to Explore Number and Early Algebra Concepts. NCTM national conference, Philadelphia, PA.
October 2003, Pre-service teachers re-learning rational numbers with the colour calculator. Seventh Conference on research in Undergraduate Mathematics Education Conference, Scottsdale, AZ.
October 2003. Clarity in Communication: Students’ Mathematical Values, 6th Panhellenic Conference on the Didactics of Mathematics and Informatics in Education, Volos, Greece.
July, 2003, Aesthetic values in mathematics: A value-oriented epistemology, PME XVII, Hawaii, U.S.A.
February, 2003, A Student-Engagement Perspective on Dynamic Geometry, Conference on Dynamic Mathematics Visualization for Young Learners, Chicago, U.S.A.
October, 2002, Romancing mathematical ideas, BCAMT Fall mathematics conference, Surrey, Canada.
August, 2002, Alive Maths: A rich on-line learning environment for doing mathematics, NCTM Canada Regional Conference, Montreal, Canada.
July, 2002, For the beauty of numbers, PMEXVI, Norwich, United Kingdom.
July, 2001, Aesthetics is relevant. PME XV. Utrecht, the Netherlands.
May, 2001, I Made a Rainbow: Alive Maths, OAME 2001. Scarborough, ON.
April, 2001, The aesthetic pulse of mathematical activity. Beauty and the Mathematical Beast: A Symposium on Pattern, Aesthetics, and Mathematics. Queen’s University, Kingston, ON.
November, 2000, Alive Maths: Living Mathematics on the Web. International Conference on “Mathematics for Living.” Amman, Jordan.
October, 2000, Living Mathematics on the Internet. 39th Northwest Mathematics Conference. Victoria, BC.
August 2000, Reinventing the Mathematics Teacher. ICME 2000. Tokyo, Japan.
May 2000, Using the Internet. OAME 2000. Ottawa, ON.
December 1999, Survival of the Fit. Future of Mathematics Communication ’99. MSRI, Berkeley, CA.
September 1999, Webbing in the Elementary Mathematics Classroom. Y2X: Coming Home to Mathematics Conference. Kingston, ON.
May 1999, High School Resources: In Process. OAME ’99. Toronto, ON.
December 1998, Romancing Powerful Mathematical Ideas. Canadian Mathematical Society Meeting, winter 1998. Kingston, ON.
February 1998, Doing Mathematics. PIMS Conference on Changing the Culture. Vancouver, BC.
Leadership, Faculty Service, Community Service
- French/Math Editor of the Canadian Journal of Science, Mathematics and Technology Education
- Editorial Boards member of For the learning of mathematics
- Editorial Boards member of the International Journal of Computer in Mathematics Learning
- Board of Directors member of For the learning of mathematics
- Digital Editor, For the learning of mathematics
- Member of the International Program Committee for the International Committee for Mathematics Instruction (ICMI) 17th Study on “Technology revisited.
- Member of the Undergraduate Programs Committee (Simon Fraser University)
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