INVESTIGATION OF PRESERVICE MATHEMATICS TEACHERS’ PROOF SCHEMES ACCORDING TO DNR BASED INSTRUCTION
DNR TABANLI ÖĞRETİME GÖRE MATEMATİK ÖĞRETMEN ADAYLARININ İSPAT ŞEMALARININ İNCELENMESİ

Author : Sare ŞENGÜL -- Pınar GÜNER
Number of pages : 869-878

Abstract

The aim of this study is to determine the types of the proof schemes used in the proof process by freshman and senior elementary pre-service mathematics teachers who are students at public university in 2011-2012 academic year and also to examine whether there is any difference between proof schemes used by freshman and senior elementary pre-service mathematics teachers. The sample of the study consists of 135 elementary pre-service mathematics teachers. Because the actual state is investigated descriptive method is used. 5 problems are asked and answers are classified according to proof schemes. Classification designed by Harel and Sowder (1998) is used. In the analysis process, answers of elementary pre-service mathematics teachers are evaluated according to proof schemes’ properties and classified into 4 categories; external, empirical, analytical, and empty. Percentage frequency tables of proof schemes prepared and bar chart is drawn. Also, it is analyzed that whether there is a significant difference between proof schemes according to class levels or not by using t test with a statistical programme. Results indicated that all proof scheme types (external, analytical, empirical) are used by the students. Also, empirical schemes are mostly used by freshman elementary pre-service mathematics teachers and analytical schemes are mostly used by senior elementary pre-service mathematics teachers. Suggestions made according to results of the study.

Keywords

Proof, Proof Schemes, Pre-service Mathematics Teachers

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