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ERIC Number: EJ1176183
Record Type: Journal
Publication Date: 2018
Pages: 18
Abstractor: As Provided
ISSN: ISSN-2301-251X
Examining Pre-Service Mathematics Teachers' Reasoning Errors, Deficiencies and Gaps in the Proof Process
Demir, Enes; Öztürk, Tugba; Güven, Bülent
European Journal of Science and Mathematics Education, v6 n2 p44-61 2018
Proving is a process that has important roles in terms of learning and teaching in almost all the areas of mathematics. Because the process of proof constructions an extensive process that includes skills as mathematical thinking, reasoning and making connections. Reasoning is one of the most important components of this process. However, most students have difficulty in making a good reasoning and they make various reasoning errors in the process. The purpose of the study is to investigate the reasoning errors that pre-service mathematics teachers exhibit during proof construction. This study was carried out with 80 university students from second, third, fourth and fifth grade levels. An open-ended exam based on abstract mathematics and algebra was used. To deeply examine reasoning errors in the proving process, clinical interviews were conducted with pre-service teachers. A scale was developed by considering the literature review and the expert opinion; this was used to analyse the data about the reasoning errors. The results illustrate that the reasoning errors mostly do not show differences for all grade levels. However, the percentages of reasoning errors according to the grade levels and to the upper classes these errors show resistance to decrease the deficiencies. It is important to design a learning environment enabling students to experience proof construction in order to reduce or eliminate the reasoning errors.
European Journal of Science and Mathematics Education. Eastern Mediterranean University, Farnagusta, TRNC, Mersin 10, Turkey. e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A