High School Students’ and Their Teacher’s Experiences with Visual Proofs

Kübra Polat; Levent Akgün

Makale detayları

High School Students’ and Their Teacher’s Experiences with Visual Proofs

Yazarlar:

Kübra Polat | Levent Akgün

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Alan Eğitimleri

Dergi:

Erzincan Üniversitesi Eğitim Fakültesi Dergisi Vol.25 Issue 1, pp.126-136

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001285044

pISSN:

2148-7758

Anahtar kelimeler:

Özet:

 Proof is one of the main components of both mathematics and mathematics education. However, students and teachers at every level have difficulties in proof and proof teaching. Presenting alternative proof methods to students will not only provide a rich learning environment but also allow the students to have different perspectives by providing alternative ways they can apply for constructing a proof. The visual proofs are one of the alternative proof methods. The visual proofs are seen as valuable tools for mathematics education; it is planned to investigate the views of high school students and their teacher about visual proof. Case study method is used in the study. Participants of the study consisted of four high school students who were nineth-graders and their teacher. The teacher said that after the visual proof activities, the students started to wonder where the formulas came from, in other words, they started questioning, their interest levels increased, and the formulas were kept in their minds more. The high school students stated that they found the visual proof activities enjoyable, and they were happy when they understood the visual proofs and unhappy when they could not understand them.

 Proof is one of the main components of both mathematics and mathematics education. However, students and teachers at every level have difficulties in proof and proof teaching. Presenting alternative proof methods to students will not only provide a rich learning environment but also allow the students to have different perspectives by providing alternative ways they can apply for constructing a proof. The visual proofs are one of the alternative proof methods. The visual proofs are seen as valuable tools for mathematics education; it is planned to investigate the views of high school students and their teacher about visual proof. Case study method is used in the study. Participants of the study consisted of four high school students who were nineth-graders and their teacher. The teacher said that after the visual proof activities, the students started to wonder where the formulas came from, in other words, they started questioning, their interest levels increased, and the formulas were kept in their minds more. The high school students stated that they found the visual proof activities enjoyable, and they were happy when they understood the visual proofs and unhappy when they could not understand them.

 Proof is one of the main components of both mathematics and mathematics education. However, students and teachers at every level have difficulties in proof and proof teaching. Presenting alternative proof methods to students will not only provide a rich learning environment but also allow the students to have different perspectives by providing alternative ways they can apply for constructing a proof. The visual proofs are one of the alternative proof methods. The visual proofs are seen as valuable tools for mathematics education; it is planned to investigate the views of high school students and their teacher about visual proof. Case study method is used in the study. Participants of the study consisted of four high school students who were nineth-graders and their teacher. The teacher said that after the visual proof activities, the students started to wonder where the formulas came from, in other words, they started questioning, their interest levels increased, and the formulas were kept in their minds more. The high school students stated that they found the visual proof activities enjoyable, and they were happy when they understood the visual proofs and unhappy when they could not understand them.

 İspat, matematiğin ve matematik eğitiminin ana bileşenlerinden biridir. Buna rağmen öğrenciler ve öğretmenler her düzeyde ispat öğreniminde ve öğretiminde güçlük yaşamaktadırlar. Bu bağlamda düşünüldüğünde öğrencilere kullanabilecekleri alternatif ispat yöntemlerinin sunulması ile hem zengin öğrenme ortamları oluşturmuş olacak hem de bir ispatı yapmak için başvurulabilecek alternatif yollar sunulmasıyla öğrenciye farklı bakış açıları kazandırılmış olacaktır. Görsel ispatlar ispat öğretiminde alternatif bir yöntemdir. Bu çalışmada görsel ispat etkinliklerinde yer alan lise öğrencileri ve öğretmenlerinin deneyimlerine dönük görüşleri alınmıştır. Çalışmanın modeli durum çalışmasıdır. Katılımcılar 9. sınıfta öğrenim gören ve uygulama sırasında görsel ispatlar ile deneyim yaşayan dört öğrenci ve onların öğretmenleridir. Öğretmen görsel ispat deneyimi yaşayan öğrencilerin sonraki derslerde formüllerin nereden geldiğini merak ettiklerini başka bir deyişle sorgulamaya başladıklarını, derse ilgilerinin arttığını ve formüllerin akıllarında daha çok kaldığını belirtmiştir. Öğrenciler ise görsel ispat etkinliklerini eğlenceli bulduklarını, ispatı anladıkları zaman mutlu olduklarını buna karşın anlamadıkları zaman mutsuz olduklarını belirtmişlerdir.

Makale detayları

High School Students’ and Their Teacher’s Experiences with Visual Proofs

Yazarlar:

Kübra Polat | Levent Akgün

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Alan Eğitimleri

Dergi:

Erzincan Üniversitesi Eğitim Fakültesi Dergisi Vol.25 Issue 1, pp.126-136

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001285044

pISSN:

2148-7758

Proof

proof teaching

proof methods

proof without words

visual proof

İspat

ispat öğretimi

ispat yöntemleri

sözsüz ispat

görsel ispat

Sayı

Makale detayları

Yazarlar: Kübra Polat | Levent Akgün

Yayıncı: Erzincan Binali Yildirim University

Ana Başlıklar: Alan Eğitimleri

Dergi: Erzincan Üniversitesi Eğitim Fakültesi Dergisi Vol.25 Issue 1, pp.126-136

Belge Tipi: Makale

Yayın Tarihi: 10/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001285044

pISSN: 2148-7758

Sayı

Yazarlar:

Kübra Polat | Levent Akgün

Yayıncı:

Erzincan Binali Yildirim University

Ana Başlıklar:

Alan Eğitimleri

Dergi:

Erzincan Üniversitesi Eğitim Fakültesi Dergisi Vol.25 Issue 1, pp.126-136

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001285044

pISSN:

2148-7758