EXAMINING PROOFS IN ABSTRACT MATHEMATICS BOOKS IN THE CONTEXT OF BALACHEFF’S TAXONOMY
SOYUT MATEMATİK DERS KİTAPLARINDAKİ İSPATLARIN BALACHEFF’İN TAKSONOMİSİ BAĞLAMINDA İNCELENMESİ

Author : Mehtap TAŞTEPE -- İlyas YAVUZ - Savaş BAŞTÜRK
Number of pages : 52-62

Abstract

Mathematic has more abstract structure because it isn’t based on experiments and observations unlike other sciences. The thing that has provided to be a scientific discipline is proofs. The purpose of this study is to determine the status of proof of abstract mathematics textbooks used in the course. For this purpose, actively used in universities 5 abstract mathematics textbooks including 4 domestic books and 1 foreign book were examined in the context of the proof Balacheff taxonomy. Based on the results of qualitative content analysis they were determined that more intellectual kind of proof is used in books, proof type used varies according to the subject, sets is the issue proven most intense and when the publication year progresses, the number of proof left to students increases. The most interesting result is the statements given by the theorem or proposition in some books is shown as examples in some books. This situation could not find a relationship with the year of publication for books.

Keywords

Mathematical proof, abstract mathematics course, textbooks, Balacheff’s proof taxonomy, mathematics

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