Single Solution, Multiple Perspectives
This article reviews a model-eliciting activity, with a single-numerical answer, implemented in a calculus class at the university level. A closer look at students’ solutions reveals multiple perspectives in solving the problem, perspectives that present students’ conceptual and representational systems. Most model-eliciting activities allow for multiple responses, and consequently multiple approaches. This article presents the wide variety of modeling perspectives, even though the activity has a single numerical answer.
KeywordsModeling Function Daily Rate Discussion Session Numerical Answer Seventh Grade Student
This study was conducted with the support of the Research Group of Dr. Guadalupe Carmona.
- Aliprantis, C. D., and Carmona, G. (2003). Introduction to an economic problem: A models and modeling perspective. In R. Lesh, and H. Doerr (Eds.), Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching (pp. 255–264). Mahwah, NJ: Erlbaum.Google Scholar
- Lesh, R., and Doerr, H. M. (2003). Foundations of models and modeling perspectives on mathematics teaching, learning, and problem solving. In R. Lesh, and H. Doerr (Eds.), Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching (pp. 3–33). Mahwah, NJ: Erlbaum.Google Scholar
- Lesh, R., Hoover, M., Hole, B., Kelly, E., and Post, T. (2000). Principles for developing thought-revealing activities for students and teachers. In A.E. Kelly, and R. Lesh (Eds.), Handbook of Research Design in Mathematics and Science Education (pp. 591–645). Mahwah, NJ: Erlbaum.Google Scholar