INVESTIGATION OF PRESERVICE MATHEMATICS TEACHERS’ PROOF SCHEMES ACCORDING TO DNR BASED INSTRUCTION

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...

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Autores principales: Sare ŞENGÜL, Pınar GÜNER
Formato: article
Lenguaje:DE
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Publicado: Fırat University 2019
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Acceso en línea:https://doaj.org/article/ac52fcf1feb9488987080339779e98ad
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Sumario: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.