Dergiler / Bayburt Eğitim Fakültesi Dergisi / 2015 / Cilt: 10 - Sayı: 2

Prospectıve Mathematıcs Teachers’ Dıffıcultıes In Doıng Proofs And Causes Of Theır Struggle Wıth Proofs_ERIC

PROSPECTIVE MATHEMATICS TEACHERS’ DIFFICULTIES IN DOING PROOFS AND CAUSES OF THEIR STRUGGLE WITH PROOFS

Sayfa
315–328
Yayın Tarihi
2016-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Interviews with the participants have shown that the major causes of such difficulties stem from prospective teachers having a negative attitude about proofs, and the various shortcomings in learning and teaching proofs.

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Amaç & Hipotez:This research aims to expose prospective mathematics teachers’ difficulties while proving, as well as the reasons behind such difficulties.
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Temel Bulgular & Veri:The research includes 121 second year undergraduate prospective teachers studying at the primary mathematics teaching department of a state university in Turkey.
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Sonuç & Katkı:Interviews with the participants have shown that the major causes of such difficulties stem from prospective teachers having a negative attitude about proofs, and the various shortcomings in learning and teaching proofs.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mathematical proof · difficulties in proof · prospective mathematics teachers

Özet

This research aims to expose prospective mathematics teachers’ difficulties while proving, as well as the reasons behind such difficulties. The research includes 121 second year undergraduate prospective teachers studying at the primary mathematics teaching department of a state university in Turkey. The study has found that prospective teachers had serious deficiencies in doing proof. The primary difficulty experiencedby prospective teachers is expressing definitions. This difficulty is respectively followed by understanding theorem statement, using mathematical language and notations, selecting proper proof strategy and method, distinguishing concepts, creating a proof structure using definitions, and the difficulty of expressing thoughts. In addition, interviews have been conducted with seven prospective teachers representing each difficulty using semi-structured interview form. Interviews with the participants have shown that the major causes of such difficulties stem from prospective teachers having a negative attitude about proofs, and the various shortcomings in learning and teaching proofs.

Abstract

This research aims to expose prospective mathematics teachers’ difficulties while proving, as well as the reasons behind such difficulties. The research includes 121 second year undergraduate prospective teachers studying at the primary mathematics teaching department of a state university in Turkey. The study has found that prospective teachers had serious deficiencies in doing proof. The primary difficulty experienced by prospective teachers is expressing definitions. This difficulty is respectively followed by understanding theorem statement, using mathematical language and notations, selecting proper proof strategy and method, distinguishing concepts, creating a proof structure using definitions, and the difficulty of expressing thoughts. In addition, interviews have been conducted with seven prospective teachers representing each difficulty using semi-structured interview form. Interviews with the participantshave shown that the major causes of such difficulties stem from prospective teachers having a negative attitude about proofs, and the various shortcomings in learning and teaching proofs.

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Bu Makaleye Atıf Yap

DORUK, M., KAPLAN, A. (2016). Prospectıve Mathematıcs Teachers’ Dıffıcultıes In Doıng Proofs And Causes Of Theır Struggle Wıth Proofs_ERIC. Bayburt Eğitim Fakültesi Dergisi, Cilt: 10 - Sayı: 2, 315–328. https://ajindex.com/articles/56004

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Kaynakça (11)

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  8. Dreyfus, T. (1999). Why Johnny can’t prove. Educational studies in mathematics 38(1), 85-109.
  9. Fawcett, H. P. (1938). The nature of proof: a description and evaluation of certain procedures used in a senior high school to develop an understanding of the nature of proof. (NCTM year book 1938). New York: Teachers’ College, Columbia University. Furinghetti, F. and Morselli, F. (2009). Teachers’ beliefs and the teaching of proof. Proceedings of ICME Study 19: Proof and Proving in Mathematics Education, Taipei, Taiwan. Güler, G. (2013). Investigation of pre-service mathematics teachers’ proof processes in the learning domain of algebra (Unpublished Doctoral Dissertation). Ataturk University Institute of Education Sciences, Erzurum. Hanna, G. (1991). Mathematical proof. In D. Tall (Ed.), Advanced mathematical thinking. Hingham, MA: Kluwer Academic Publishers.
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