Single Solution, Multiple Perspectives

Chapter
Part of the International Perspectives on the Teaching and Learning of Mathematical Modelling book series (IPTL)

Abstract

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.

Keywords

Modeling Function Daily Rate Discussion Session Numerical Answer Seventh Grade Student 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This study was conducted with the support of the Research Group of Dr. Guadalupe Carmona.

References

  1. 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
  2. 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
  3. 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

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Tecnologico de MonterreyMonterreyMexico

Personalised recommendations