Analysis of the reasoning skills of students in solving a non-routine problem


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Gök M., Beyde E.

International Conference on Pure and Applied Mathematics, Van, Turkey, 25 - 28 August 2015, pp.68

  • Publication Type: Conference Paper / Summary Text
  • City: Van
  • Country: Turkey
  • Page Numbers: pp.68
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

ANALYSIS OF THE REASONING SKILLS OF STUDENTS IN SOLVING A
NON-ROUTINE PROBLEM
Mustafa G¨OK1, Erdal BEYDE2
1Yu¨zu¨ncu¨ Yıl University, Van, TURKEY 2Zeve Secondary School, Van, TURKEY
MSC 2000: 97A90, 97C30
Abstract
Non-routine problems have a great signi?cance in developing students reasoning
skills. Because students attempt to overcome the situation they are in by asso
ciating their existing knowledge to arrive at a consistent objective while solving
non-routine problems. Naturally these processes necessitate reasoning. This study
aims to investigate the reasoning approaches students used in the solution process
of a non-routine problem in a milieu designed in compliance with the Theory of
Didactical Situations supporting the reasoning skills of seventh grade students. The
study was conducted using the qualitative method. Participants of the study were
24 students attending the seventh grade in a middle school in Van province, Turkey.
The implementation lasted for 45 minutes. The analysis of the ?ndings of the study
was based on the reasoning levels determined by Brousseau and Gibel[1]. As a re
sult, students were able to solve the non-routine problem by establishing interaction
with the designed milieu. It could be stated that the designed milieu supported the
reasoning skills of the students.
Keywords: Theory of didactical situations, reasoning, non-routine problems, 7th
grade.
References
[1] G. Brousseau, P. Gibel, Didactical Handling of Students’Reasoning Processes
in Problem Solving Situations, Educational Studies in Mathematics, 59 (2005)
13-58.
1gkmstf@gmail.com 2erdalbeyde@hotmail.com