An Exploratory Teaching for Calculus Courses in High School

Authors

DOI:

https://doi.org/10.61174/recacym.v21i2.238

Keywords:

MEAS, modeling, experimentation, variation, exploratory teaching, High school

Abstract

In Mexico, a new educational model is being implemented in High School which encourages modeling, experimentation, and cross-curricular content so that students can develop as integral citizens. One alternative to achieving these objectives is Model-Eliciting Activities (MEAS) for the study of variation. However, due to the limited availability of references to these activities in High school in Mexico, this document proposes exploratory teaching based on the Teaching Experiments methodology. The objective is to corroborate compliance with the design principles of MEAs, as well as to generate various hypotheses about interactions and the use of representations that support their design in the experimental teaching stage.

References

Aguilar, J. (2021). Modeling Through Model-Eliciting Activities: An Analysis of Models,Elements, And Strategies in High School. The Cases of Students with Different Level of Achievement. MATHEMATICS TEACHING RESEARCH JOURNAL, 13-1, 52-70.

Lesh, R., & Doerr, H. (2003). Foundations of a Models and Modeling Perspective on Mathematics Teaching, Learning, and Problem Solving. En H. D. Lesh R, Beyond Constructivism: Models and Modeling Perspective on Mathematics Problem solving,Learning and teaching (págs. 3-33). Mahwah, New Jersey: Lawrence Erlbaum Associates, Publishers. London.

Palafox Duarte, M. C. (2024). Actividad del frijolito [Material didáctico no publicado]. Taller sobre el Pensamiento Variacional. Hermosillo Sonora, México: Colegio de Bachilleres del Esatdo de Sonroa.

Steffe, L. P., & Thompson, P. W. (2000). Teaching experiment methodology: Underlying principles and essential elements. En R. Lesh, & A. E. Kelly, Research design in mathematics and science education (págs. 267-307). Hillsdale, NJ: Erlbaum.

Steffe, L., & P Thompson, E. V. (2000). Teaching Experiment Methodology: Underlying Principles and Essential Elements. En R. Lesh, & A. E. Kelly, Research design in mathematics and science education (págs. 267-307). Hillsdale, NJ: Erlbaum.

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Published

2025-12-28

Issue

Section

Teaching proposals

How to Cite

An Exploratory Teaching for Calculus Courses in High School. (2025). El cálculo Y Su enseñanza, 21(2), 133-146. https://doi.org/10.61174/recacym.v21i2.238