SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"

Proofs without words are pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also see how one might begin to go about proving it true (Alsina ve Nelsen, 2010). The aim of this study is to investigate secondary mathematics pre-service teachers opinio...

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Autores principales:	Handan DEMİRCİOĞLU, Kübra POLAT
Formato:	article
Lenguaje:	DE EN FR TR
Publicado:	Fırat University 2019
Materias:	proof proof without words visualization Social Sciences H Social sciences (General) H1-99
Acceso en línea:	https://doaj.org/article/eb6ba561ee824c9a9d82a2677f2e0b39
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spelling	oai:doaj.org-article:eb6ba561ee824c9a9d82a2677f2e0b392021-11-24T09:20:53ZSECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"2148-416310.9761/JASSS3171https://doaj.org/article/eb6ba561ee824c9a9d82a2677f2e0b392019-08-01T00:00:00Zhttps://jasstudies.com/index.jsp?mod=tammetin&makaleadi=1607767651_15-Yrd.%20Do%C3%A7.%20Dr.%20Handan%20DEM%C4%B0RC%C4%B0O%C4%9ELU.pdf&key=27679https://doaj.org/toc/2148-4163Proofs without words are pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also see how one might begin to go about proving it true (Alsina ve Nelsen, 2010). The aim of this study is to investigate secondary mathematics pre-service teachers opinions about “proof without words”. Case study method as a form of qualitative research is used in the study. Participants of the study consist of 57 secondary mathematics pre-service teachers who were fifth-year students in a state university located in the Central Anatolia. The study was conducted in 2013-2014 education and teaching year in the lesson that “Investigation Projects in Field Education”. The data were collected with the questions that directed to pre-service teachers at the end of the period. The questions were used for receive opinions from pre-service teachers who lived experience with proof without words to be effective or ineffective. The writing data were collected. The data were analyzed and classified according to similarities and differences between the responses of pre-service teachers. The findings obtained from the study show that pre-service teachers think that proof without words provide retention, concretization, understanding mathematical formula and statement, relating with subjects, making a sensation, gaining self-confidence. Also pre-service teacher expressed that proof without words are productive, enjoyable and pre-service teacher stated that they learned new knowledge with proof without words, in the future they can use proof without words in their lesson. This views support that visualization contribute in mathematics education. The results of the study are discussed and compared with the literature, and suggestions have been made for new studies in this direction.Handan DEMİRCİOĞLUKübra POLATFırat Universityarticleproofproof without wordsvisualizationSocial SciencesHSocial sciences (General)H1-99DEENFRTRJournal of Academic Social Science Studies , Vol 8, Iss 41, Pp 233-254 (2019)
institution	DOAJ
collection	DOAJ
language	DE EN FR TR
topic	proof proof without words visualization Social Sciences H Social sciences (General) H1-99
spellingShingle	proof proof without words visualization Social Sciences H Social sciences (General) H1-99 Handan DEMİRCİOĞLU Kübra POLAT SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
description	Proofs without words are pictures or diagrams that help the reader see why a particular mathematical statement may be true, and also see how one might begin to go about proving it true (Alsina ve Nelsen, 2010). The aim of this study is to investigate secondary mathematics pre-service teachers opinions about “proof without words”. Case study method as a form of qualitative research is used in the study. Participants of the study consist of 57 secondary mathematics pre-service teachers who were fifth-year students in a state university located in the Central Anatolia. The study was conducted in 2013-2014 education and teaching year in the lesson that “Investigation Projects in Field Education”. The data were collected with the questions that directed to pre-service teachers at the end of the period. The questions were used for receive opinions from pre-service teachers who lived experience with proof without words to be effective or ineffective. The writing data were collected. The data were analyzed and classified according to similarities and differences between the responses of pre-service teachers. The findings obtained from the study show that pre-service teachers think that proof without words provide retention, concretization, understanding mathematical formula and statement, relating with subjects, making a sensation, gaining self-confidence. Also pre-service teacher expressed that proof without words are productive, enjoyable and pre-service teacher stated that they learned new knowledge with proof without words, in the future they can use proof without words in their lesson. This views support that visualization contribute in mathematics education. The results of the study are discussed and compared with the literature, and suggestions have been made for new studies in this direction.
format	article
author	Handan DEMİRCİOĞLU Kübra POLAT
author_facet	Handan DEMİRCİOĞLU Kübra POLAT
author_sort	Handan DEMİRCİOĞLU
title	SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
title_short	SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
title_full	SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
title_fullStr	SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
title_full_unstemmed	SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"
title_sort	secondary mathematics pre-service teachers’ opinions about “proof without words"
publisher	Fırat University
publishDate	2019
url	https://doaj.org/article/eb6ba561ee824c9a9d82a2677f2e0b39
work_keys_str_mv	AT handandemircioglu secondarymathematicspreserviceteachersopinionsaboutproofwithoutwords AT kubrapolat secondarymathematicspreserviceteachersopinionsaboutproofwithoutwords
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SECONDARY MATHEMATICS PRE-SERVICE TEACHERS’ OPINIONS ABOUT “PROOF WITHOUT WORDS"

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