Only spend what you can afford.An optimization experience with high school students

Authors

  • Maria Candelaria Espinel Febles Universidad de La Laguna
  • Juan Agustín Noda Gómez IES Magallanes, Granadilla

DOI:

https://doi.org/10.35763/aiem.v1i2.26

Keywords:

Knapsack problems, optimization, secondary education, task, instruction

Abstract

This experience was intended to attempt to evaluate the optimizing intuition in secondary school students. The problem posed consists in selecting objects from a previously given set whose total value should be equal to an exact number, or as close to this exact number as possible. As a resultof the classroom experience in a specific context, we observe the poor preparation of students for this type of task. The main conclusion is that students are prepared to add quantities; however they find it difficult to choose quantities which add an exact number. They do not possess adequate strategies, and are incapable of inventing heuristics to achieve their goal. The reflection, which results from the experience, is that in spite of their usefulness in daily life, little attention is paid to optimization problems in compulsory education

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Author Biography

Maria Candelaria Espinel Febles, Universidad de La Laguna

Departamento de Analisis Matemático, Profesora Titular

Published

2012-11-06

How to Cite

Espinel Febles, M. C., & Noda Gómez, J. A. (2012). Only spend what you can afford.An optimization experience with high school students. Advances of Research in Mathematics Education, (2), 71–85. https://doi.org/10.35763/aiem.v1i2.26

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Section

Artículos