Mathematics 101: reconsidering the axioms
Autor: | Andy Begg |
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Rok vydání: | 2011 |
Předmět: |
Mathematical logic
Applied Mathematics Knowledge level Teaching method MathematicsofComputing_GENERAL Education TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Mathematics (miscellaneous) Learner engagement Argument ComputingMilieux_COMPUTERSANDEDUCATION Learning theory Mathematics education Word (group theory) Axiom |
Zdroj: | International Journal of Mathematical Education in Science and Technology. 42:835-846 |
ISSN: | 1464-5211 0020-739X |
DOI: | 10.1080/0020739x.2011.608859 |
Popis: | In this article, I present some ‘axioms’ that relate to undergraduate mathematics education. When I first heard the word axiom, it was defined as a ‘self-evident truth’; but an axiom is not a truth, it is a subjective assumption on which an argument or proof can be based. My purpose in presenting these axioms is to stimulate debate about undergraduate programmes by examining what we take for granted in terms of: our aims (stated or not); our ideas about teaching and learning; our understandings about our students; our views about mathematics and the topics we teach. |
Databáze: | OpenAIRE |
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