Commentary on Theories of Mathematics Education

262 J. Cai
curricular programs. In their chapter, however, authors did not talk about how the
envisioned modeling curriculum might be related to either Realistic Mathematics in
Netherlands or Standards-based mathematics curriculum in the United States.
Given the importance of the problem solving in school mathematics and current
decline of problem-solving research, this chapter is timely. Throughout the chapter,
the authors identified a number of important research questions as a roadmap
for future research on problem solving. Most importantly, this chapter proposed the
mathematical modeling approach to advance problem solving research and curriculum
development.
References
de Lange, J. (1996). Using and applying mathematics in education. In A. J. Bishop et al. (Eds.),
International Handbook of Mathematics Education, Part One (pp. 49–97). Dordrecht: Kluwer
Academic Publishers.
Freudenthal, H. (1991). Revisiting Mathematics Education: China Lectures. Dordrecht: Kluwer
Academic Publishers.
Senk, S. L., & Thompson, D. R. (Eds.) (2003). Standards-Based School Mathematics Curricula:
What Are They? What Do Students Learn? Mahwah, NJ: Lawrence Erlbaum Associates.