An Analysis of High School Students’ Understanding and Reasoning of Average Concept

Özlem ENGİN; Alaattin PUSMAZ

doi:https://doi.org/10.16949/turkbilmat.780680

Makale detayları

An Analysis of High School Students’ Understanding and Reasoning of Average Concept

Yazarlar:

Özlem ENGİN | Alaattin PUSMAZ

Yayıncı:

Türkbilmat Eğitim Hizmetleri

Ana Başlıklar:

Eğitim

Dergi:

Turkish Journal of Computer and Mathematics Education (TURCOMAT) 2021 Vol.12 Issue 1, pp.187-201

Belge Tipi:

Makale

Yayın Tarihi:

2/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000785633

Sıklık:

Üç Yıllık

eISSN:

1309-4653

DOI:

https://doi.org/10.16949/turkbilmat.780680

Özet:

 

The aim of this study is to identify high school students’ understanding of average concept and the reasoning types they appeal to solve average problems. The case study approach was used in this study and the participants were selected by purposeful sampling. The participants consisted of five 9th grade and four 10th grade students, studying at a high school in Istanbul. In order to identify students’ understanding of average, a test consisting of 5 open-ended problems were used and semi-structured interviews were held with each of the students. The data were analyzed by thematic analysis approach. For data analysis, framework proposed by Mokros and Russel (1995) was used to determine students’ understanding of average and Lithner’s (2008) framework was used to reveal their reasoning types. Results showed that students mostly understood average as mathematical point of balance. Creative mathematically founded reasoning and algorithmic reasoning was used the most. Creative reasoning is effective in reaching the right answer. In solutions where creative reasoning is used, students generally also have the idea of representativeness. The type of problem influences the reasoning process. Inadequacy of students’ prior mathematics knowledge hinders both their understanding of the average and their reasoning skills.

Makale detayları

An Analysis of High School Students’ Understanding and Reasoning of Average Concept

Yazarlar: Özlem ENGİN | Alaattin PUSMAZ

Yayıncı: Türkbilmat Eğitim Hizmetleri

Ana Başlıklar: Eğitim

Dergi: Turkish Journal of Computer and Mathematics Education (TURCOMAT) 2021 Vol.12 Issue 1, pp.187-201

Belge Tipi: Makale

Yayın Tarihi: 2/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000785633

Sıklık: Üç Yıllık

eISSN: 1309-4653

DOI: https://doi.org/10.16949/turkbilmat.780680

Sayı

Yazarlar:

Özlem ENGİN | Alaattin PUSMAZ

Yayıncı:

Türkbilmat Eğitim Hizmetleri

Ana Başlıklar:

Eğitim

Dergi:

Turkish Journal of Computer and Mathematics Education (TURCOMAT) 2021 Vol.12 Issue 1, pp.187-201

Belge Tipi:

Makale

Yayın Tarihi:

2/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000785633

Sıklık:

Üç Yıllık

eISSN:

1309-4653

DOI:

https://doi.org/10.16949/turkbilmat.780680