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

Authors

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

Author Biographies

  • Laura Conejo Garrote, University of Valladolid

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

    Área de Didáctica de la Matemática

  • Matías Arce Sánchez, University of Valladolid

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

    Área de Didáctica de la Matemática

  • Tomás Ortega del Rincón, University of Valladolid

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

    Área de Didáctica de la Matemática

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Published

2015-11-04

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Section

Artículos

How to Cite

An analysis of derivability theorems’ justifications in textbooks from the 70’s Spanish Education Law. (2015). Advances of Research in Mathematics Education, 8, 51-71. https://doi.org/10.35763/aiem.v1i8.117