An analysis of derivability theorems’ justifications in textbooks from the 70’s Spanish Education Law

Authors

  • Laura Conejo Garrote Universidad de Valladolid
  • Matías Arce Sánchez Universidad de Valladolid
  • Tomás Ortega del Rincón Universidad de Valladolid

DOI:

https://doi.org/10.35763/aiem.v1i8.117

Keywords:

Education, Proof, Mathematics, Proof Scheme, Law

Abstract

This paper presents a description of a framework developed to carry out the analysis of the justifications of theorems that appear in textbooks. This framework brings together the concepts of proof scheme, preformal proof, functions of proofs and other more general aspects of proof. The justifications of the Rolle’s Theorem and the mean value theorem in six textbooks were examined using this framework. Each of these six textbooks corresponds to one of the last three Spanish Education Laws: two to the 70’s Act, two to the 90’s Act and two to the Act of 2006. Results, framework’s applicability and usefulness, conclusions and open problems are presented in a discursive way

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Author Biographies

Laura Conejo Garrote, Universidad de Valladolid

Departamento de Didáctica de las Ciencias Experimentales, Sociales y de la Matemática.

Área de Didáctica de la Matemática

Matías Arce Sánchez, Universidad de Valladolid

Departamento de Didáctica de las Ciencias Experimentales, Sociales y de la Matemática.

Área de Didáctica de la Matemática

Tomás Ortega del Rincón, Universidad de Valladolid

Departamento de Didáctica de las Ciencias Experimentales, Sociales y de la Matemática.

Área de Didáctica de la Matemática

Published

2015-11-04

How to Cite

Conejo Garrote, L., Arce Sánchez, M., & Ortega del Rincón, T. (2015). An analysis of derivability theorems’ justifications in textbooks from the 70’s Spanish Education Law. Advances of Research in Mathematics Education, (8), 51–71. https://doi.org/10.35763/aiem.v1i8.117

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Artículos