Mathematical Creativity Test (MCT) development for middle school students

Year 2022, Volume: 11 Issue: 4, 242 - 268, 31.10.2022

Bilge Bal Sezerel , Uğur Sak

https://doi.org/10.19128/turje.1037694

Abstract

This study presents the development of a mathematical creativity test and exploration of its psychometric properties. The study was conducted in six public schools and a high ability center between 2015 and 2018. The sample of the study included 1129 middle school students. The Mathematical Creativity Test (MCT) consists of problem posing, making conjecture, and proof subtests. Each test has two items. The scores of the MCT are composed of fluency, flexibility, and creativity quotient. For construct validity, EFA yielded a 3-factor solution, namely, problem posing, making conjecture, and proof subtests. CFA confirmed the 3-factor solution, and all fit indices were found to be good. For criterion validity, one-way ANOVA for independent samples was conducted in different classes, and it showed that there was a significant difference, and Pearson's correlation coefficient was investigated between MCT scores and the report card grades of the mathematics lesson. There was a strong and positive correlation between the two variables. The internal consistency and the interrater reliability of the test scores were high.

Keywords

Assessment of mathematical creativity, Making conjecture, Mathematical creativity, Problem posing, Proof

Supporting Institution

Anadolu University

Project Number

1605E493

Ortaokul öğrencilerine yönelik Matematiksel Yaratıcılık Testi’nin (MYT) geliştirilmesi

Abstract

Bu çalışmada matematik alanında yaratıcı olan öğrencileri tanılamak amacıyla matematiksel yaratıcılık ölçeği geliştirmek ve ölçeğin psikometrik özelliklerini ortaya koymak amaçlanmıştır. Araştırma 2015-2018 yılları arasında 5., 6., 7. ve 8. sınıf düzeyindeki 1129 öğrencinin devam ettiği MEB’e bağlı altı ortaokul ve özel yeteneklilere yönelik bir merkezde gerçekleştirilmiştir. Matematiksel Yaratıcılık Testi (MYT) üç alt ölçekten (problem oluşturma, varsayım oluşturma, kanıtlama) oluşmaktadır. Alt ölçekler ikişer maddeden meydana gelmektedir. Ölçekten akıcılık, esneklik ve yaratıcılık bölümü olmak üzere üç puan türü elde edilmektedir. Yapı geçerliğini sağlamak için açımlayıcı faktör analizi ve doğrulayıcı faktör analizi (AFA ve DFA) yapılmıştır. AFA üç faktörlü yapı önermiş, DFA ise kuramsal modeli doğrulamıştır. MYT’nin ölçüt geçerliğini ortaya koymak için yapılan bağımsız gruplar için tek yönlü ANOVA sınıflar arasında anlamlı farklılık olduğunu ve matematik dersi karne notları ile yapılan Pearson korelasyon analizi ise MYT ile korelasyonun yüksek olduğunu göstermiştir. MYT’nin iç tutarlık güvenirlik değerleri ve okuyucular arası güvenirlik değerleri de yüksek çıkmıştır.

Keywords

Kanıtlama, Matematiksel yaratıcılık, Matematiksel yaratıcılığın ölçümü, Problem oluşturma, Varsayım oluşturma

Project Number

1605E493

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