School of Mathematical and Statistical Sciences


Publications and Preprints



Journal Articles


  1. Simon, M., Saldanha, L., McClintock, E., Karagoz Akar, G., Watanabe, T. & Zembat, I. (in press). A Developing Approach to Studying Mathematical Conceptual Learning: A Focus on Students’ Learning through Their Mathematical Activity. Cognition and Instruction.[pdf]


  2. Saldanha, L. & Thompson, P. (2007). Exploring Connections between Sampling Distributions and Statistical Inference: an Analysis of Students’ Engagement and Thinking in the Context of Instruction Involving Repeated Sampling, International Electronic Journal of Mathematics Education, 2(3). http://www.iejme.com [pdf]


  3. Kieran, C., & Drijvers, P., with Boileau, A., Hitt, F., Tanguay, D., Saldanha, L., & Guzmán, J. (2007). The co-emergence of machine techniques, paper-and-pencil techniques, and theoretical reflection: A study of CAS use in secondary school algebra. International Journal of Computers for Mathematical Learning, 11, 205-263. On-line version available for Springer subscribers.


  4. Kieran, C., Boileau, A., Saldanha, L., Hitt, F., Tanguay, D., & Guzmán, J. (2006). Le rôle des calculatrices symboliques dans l’émergence de la pensée algébrique : le cas des expressions équivalentes. Actes du colloque EMF2006 (Espace Mathématique Francophone, mai 2006). Sherbrooke, QC. Retrieved on October 6, 2006 from http://ermeweb.free.fr/definitif/


  5. Saldanha, L. A. & Thompson, P. W. (2002). Conceptions of sample and their relationship to statistical inference. Educational Studies in Mathematics, 51, 257-270. [pdf]



Book Chapters


  1. Kieran, C., & Saldanha, L. (2008). Designing tasks for the co-development of conceptual and technical knowledge in CAS activity: An example from factoring. In K. Heid & G. W. Blume (Eds.), Research on technology and the teaching and learning of mathematics: Syntheses, cases, and perspectives (Vol. 2, pp. 393-414). Greenwich, CT: Information Age Publishing. [pdf]


  2. Thompson, P. W., Liu, Y., & Saldanha, L. A. (2007). Intricacies of statistical inference and teachers' understandings of them. In M. Lovett & P. Shaw (Eds.), Thinking with data (pp. 207-231). Mahwah, NJ: Erlbaum. [pdf]


  3. Thompson, P.W. & Saldanha, L. A. (2003). Fractions and multiplicative reasoning. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A Research Companion to Principles and Standards for School Mathematics (pp. 95-113). Reston, VA: National Council of Teachers of Mathematics. [pdf]


  4. Sierpinska, A., Defence, A., Khatcherian, T., Saldanha, L. (1997). A Propos de Trois Modes de Raisonnement en Algèbre Linéaire. In J. L. Dorier (Ed.), L'enseignement de l’algèbre linéaire en question (pp. 249-267). Grenoble: Éditions La Pensée Sauvage.



Conference Proceedings/Presentations (*)


  1. *Saldanha, L. (2009, February). On quantifying expectation: Insights from students’ experiences in designing sampling simulations. Paper presented at the 12th Conference on Research in Undergraduate Mathematics Education. Raleigh, NC.

  2. *Saldanha, L. (2009, April). Simulation design and conceiving probabilistic experiments and expectation. Paper presented at the Research Presession of the 87th Annual Meeting of the National Council of Teachers of Mathematics. Washington, D.C.

  3. Simon, M., Saldanha, L., McClintock, E., Karagoz Akar, G., Watanabe, T. & Zembat, I. (2007). Students’ Learning through their Activity: Toward a Basis for a Scientific Approach to Task Design and Sequencing. In T. Lamberg (Ed.), Proceedings of the 29th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Reno, Nevada.

  4. Bartlo, J., Saldanha, L. A. & Kieran, C. (2007). Attending to structure and form in algebra: Challenges in designing CAS-centered instruction that supports construing patterns and relationships among algebraic expressions. In T. Lamberg (Ed.), Proceedings of the 29th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Reno, Nevada. [pdf]


  5. Drijvers, P., & Kieran, C., with Boileau, A., Hitt, F., Tanguay, D., Saldanha, L., Guzmán, J. (2006). Reconciling factorizations made with CAS and with paper-and-pencil: The power of confronting two media. In J. Novotna et al. (Eds.), Proceedings 30th PME (Vol. 2, 473-480). Prague, Cz Repub.: PME.


  6. Kieran, C., & Drijvers, P., with Boileau, A., Hitt, F., Tanguay, D., Saldanha, L., & Guzmán, J. (2006). Learning about equivalence, equality and equation in a CAS environment: The interaction of machine techniques, paper-and-pencil techniques, and theorizing. Proceedings of the 17th ICMI Study, “Digital technologies and mathematics teaching and learning” (CD version of the proceedings). Vietnam, December 2006.


  7. *Larsen, S. & Saldanha, L. (2006). Conceiving of function composition as combining transformations: Lessons learned from the first iteration of an instructional design experiment. In Alatorre, S. Cortina, J. L., Saiz, M., and Méndez, A. (Eds.), Proceedings of the 28th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Mérida, Mexico: Universidad Pedagogica Nacional. [pdf]

  8. *Saldanha, L. A. & Thompson, P. W. (2006). Investigating statistical unusualness in the context of a re-sampling activity: Students exploring connections between sampling distributions and statistical inference. Proceedings of the 7th International Conference on Teaching Statistics (ICOTS-7), July 2006, Bahia, Brazil. [pdf]

  9. *Saldanha, L. A. & Kieran, C. (2005). A slippery slope between equivalence and equality: Exploring students’ reasoning in the context of algebra instruction involving a computer algebra system. In G. M. Lloyd et al. (Eds.), Proceedings of the 27th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Roanoke, VA: PME-NA. [pdf]


  10. Kieran, C. & Saldanha, L. (2005). Computer algebra systems (CAS) as a tool for coaxing the emergence of reasoning about equivalence of algebraic expressions. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Annual Meeting of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 193-200). Melbourne, Australia: PME. [pdf]


  11. *Saldanha, L. A. & Thompson, P. W. (2002). Students’ scheme-based conceptions of sampling and their relationship to statistical inference. In D. Mewborn et al. (Eds.), Proceedings of The Twenty Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1305-1317). Athens, GA. ERIC clearinghouse, Columbus, OH.


  12. Saldanha, L. A. & Thompson, P. W. (2001). Students’ reasoning about sampling distributions and statistical inference. In R. Speiser & C. Maher (Eds.), Proceedings of The Twenty Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 449-454). Snowbird, Utah. ERIC clearinghouse, Columbus, OH.


  13. Thompson, P.W. & Saldanha, L. A. (2000). Epistemological analyses of mathematical ideas: A research methodology. In M. Fernandez (Ed.), Proceedings of the Twenty Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp.403- 408). Tucson, AZ. ERIC clearinghouse, Columbus, OH. [pdf]


  14. Thompson, P.W. & Saldanha, L. A. (2000). Conceptual issues in understanding sampling distributions. In M. Fernandez (Ed.), Proceedings of the Twenty Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ. ERIC clearinghouse, Columbus, OH.


  15. *Cortina, J. L., Saldanha, L. A., Thompson, P. W. (1999). Multiplicative conceptions of arithmetic mean. In F. Hitt & M. Santos (Eds.), Proceedings of the Twenty First Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 246-472). Cuernavaca, Morelos, Mexico. ERIC clearinghouse, Columbus, OH. [pdf]


  16. *Saldanha, L. A. & Thompson, P. W. (1998). Rethinking covariation from a quantitative perspective: Simultaneous continuous variation. In S. B. Berenson et al. (Eds.), Proceedings of the Twentieth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 298-304). Raleigh, NC: North Carolina State University. ERIC clearinghouse, Columbus, OH. [pdf]