Araştırma Makalesi

Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers

Cilt: 8 Sayı: 1 8 Mart 2021
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Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers

Öz

Nonverbal proofs are diagrams or illustrations that will help us see what a mathematical expression means, why it is true, and how it is proved. The aim of this study is to examine the effects of nonverbal proof-based education on preservice mathematics teachers. The study was conducted using case study research methods, one of the qualitative research designs. The participants of the study consisted of 31 preservice mathematics teachers. The data were collected in writing at the beginning and end of the process with questions directed to preservice teachers. These questions in the data collection tool were used to compare the responses of the preservice teachers who had an experience with nonverbal proof in the pre and post assesment and compare the changes. In the analysis of the data, descriptive analysis, which is a qualitative data analysis, was used. Firstly, each preservice teacher’s responses in the post assesment are classified according to their similarities and differences and then are categorized. Then, the answers in the pre assesment were examined and the responses were compared whether there was a change or not. The findings of the study showed that the preservice mathematics teachers’ experience of nonverbal proof effect on the recognition of the given image and establishing a relationship with different mathematics subjects.

Anahtar Kelimeler

Kaynakça

  1. Almeida, D. (1996). Variation in proof standarts: Implication for mathematics education. International Journal of Mathematical Education in Science and Technology, 27, 659–665. DOI:10.1080/0020739960270504.
  2. Almeida, D. (2001). Pupils’ proof potential. International Journal of Mathematical Education in Science and Technology, 32(1), 53-60. DOI:10.1080/00207390150207059.
  3. Alsina, C. & Nelsen R. (2010). An invitation to proofs without words. European Journal of Pure and Applied Mathematics, 3(1), 118-127.
  4. Bell, C. (2011). Proofs without words: A visual application of reasoning and proof. Mathematics Teacher, 104(1), 690-695.
  5. Ball, D. L., Hoyles, C., Jahnke, H. N., & Movshovitz-Hadar, N. (2002). The teaching of proof. In L. I. Tatsien (Ed.), Proceedings of the International Congress of Mathematicians, 3, 907–920. Beijing: Higher Education.
  6. Bardelle, C. (2009). Visual proofs: an experiment. In V. Durand-Guerrier et al (Eds), Paper presented at the annual meeting of CERME6, Lyon, France. INRP, 251-260.
  7. Casselman, B. (2000). Pictures and proofs. Notices of the American Mathematical Monthly, 47(10), 1257-1266.
  8. Davis, P.J. (1993). Visual theorems. Educational Studies in Mathematics, 24(4), 333–344. doi:10.1007/BF01273369.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Alan Eğitimleri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

8 Mart 2021

Gönderilme Tarihi

19 Aralık 2020

Kabul Tarihi

12 Şubat 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 8 Sayı: 1

Kaynak Göster

APA
Demircioğlu, H. (2021). Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers. International Journal of Educational Studies in Mathematics, 8(1), 1-15. https://doi.org/10.17278/ijesim.843358
AMA
1.Demircioğlu H. Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers. International Journal of Educational Studies in Mathematics. 2021;8(1):1-15. doi:10.17278/ijesim.843358
Chicago
Demircioğlu, Handan. 2021. “Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers”. International Journal of Educational Studies in Mathematics 8 (1): 1-15. https://doi.org/10.17278/ijesim.843358.
EndNote
Demircioğlu H (01 Mart 2021) Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers. International Journal of Educational Studies in Mathematics 8 1 1–15.
IEEE
[1]H. Demircioğlu, “Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers”, International Journal of Educational Studies in Mathematics, c. 8, sy 1, ss. 1–15, Mar. 2021, doi: 10.17278/ijesim.843358.
ISNAD
Demircioğlu, Handan. “Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers”. International Journal of Educational Studies in Mathematics 8/1 (01 Mart 2021): 1-15. https://doi.org/10.17278/ijesim.843358.
JAMA
1.Demircioğlu H. Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers. International Journal of Educational Studies in Mathematics. 2021;8:1–15.
MLA
Demircioğlu, Handan. “Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers”. International Journal of Educational Studies in Mathematics, c. 8, sy 1, Mart 2021, ss. 1-15, doi:10.17278/ijesim.843358.
Vancouver
1.Handan Demircioğlu. Investigation of the Effects of Nonverbal Proof Based Education for Preservice Mathematics Teachers. International Journal of Educational Studies in Mathematics. 01 Mart 2021;8(1):1-15. doi:10.17278/ijesim.843358