Modeling Exponential Growth Activity Using Technology: A Research with Bachelor of Business Administration Students
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Modeling Exponential Growth Activity Using Technology: A Research with Bachelor of Business Administration Students

Authors: V. Vargas-Alejo, L. E. Montero-Moguel

Abstract:

Understanding the concept of function has been important in mathematics education for many years. In this study, the models built by a group of five business administration and accounting undergraduate students when carrying out a population growth activity are analyzed. The theoretical framework is the Models and Modeling Perspective. The results show how the students included tables, graphics, and algebraic representations in their models. Using technology was useful to interpret, describe, and predict the situation. The first model, the students built to describe the situation, was linear. After that, they modified and refined their ways of thinking; finally, they created exponential growth. Modeling the activity was useful to deep on mathematical concepts such as covariation, rate of change, and exponential function also to differentiate between linear and exponential growth.

Keywords: Covariation reasoning, exponential function, modeling, representations.

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[1] Carlson, M., Jacobs, S., Coe, E., Larsen, S. & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: a framework and a study. Journal for Research in Mathematics Education, 33 (5), 352-378.
[2] Lesh, R. (2010). Tools, researchable issues and conjectures for investigating what it means to understand statistics (or other topics) meaningfully. Journal of Mathematical Modeling and Application, 1(2), 16-48.
[3] Lesh, R. & Doerr, H. M. (2003). Foundations of a models and modelling perspective on mathematics teaching, learning, and problem solving. In R. Lesh, y H. Doerr (Eds.), Beyond constructivism. Models and Modeling perspectives on mathematics problem solving, learning and teaching (pp. 3-34). Mahwah, NJ: Lawrence Erlbaum Associates.
[4] Ärlebäck, J. B., Doerr, H., & O’Neil, A. (2013). A modeling perspective on interpreting rates of change in context. Mathematical Thinking and Learning, 15(4), 314-336.
[5] Vargas-Alejo, V. & Montero-Moguel (2019). Using Excel for the modeling of a population growth activity. En Otten, S., Candela, A. G., de Araujo, Z., Haines, C., & Munter, C. (2019). Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 910-918). St Louis, MO: University of Missouri.
[6] Lesh, R., Cramer, K., Doerr, H. M., Post, T., & Zawojeswski, J. S. (2003). Model Development Sequences. In R. Lesh & H. M. Doerr (Eds.), Beyond Constructivism. Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 35-58). Mahwah, NJ: Lawrence Erlbaum Associates.
[7] Doerr, H. M. (2016). Designing sequences of model development tasks. In C. R. Hirsch & A. R. McDuffie (Eds.), Annual Perspectives in Mathematics Education 2016: Mathematical modeling and modeling mathematics (pp. 197-205). Reston, Va: National Council of Teachers of Mathematics.
[8] Sriraman, B., & Lesh, R. A. (2006). Modeling conceptions revisited. ZDM, 38(3), 247-254.
[9] Gutiérrez, H., Mariscal, M., Almanzor, P., Ayala, M., Hernández, V., & Lara, G. (2011). Diez problemas de la población de Jalisco: Una perspectiva Sociodemográfica. Guadalajara, México: Dirección de Publicaciones del Gobierno de Jalisco
[10] Lesh, R., & Yoon, C. (2004). Evolving communities of mind in which development involves several interacting and simultaneously developing strands. Mathematical Thinking and Learning, 6(2), 205-226. M. Young, The Technical Writers Handbook. Mill Valley, CA: University Science, 1989.
[11] Friedlander, A. (1999). Cognitive processes in a spreadsheet environment. In O. Zaslavsky (ed.). Proceedings of the 23th Conference of the International Group for Psychology of Mathematics Education, 2 (pp. 337-344). Haifa, Israel.
[12] National Council of Teachers of Mathematics (NCTM) (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.