Development of an Algorithmic Thinking Scale Based on the Futschek Model in Mathematics Education

Authors : Beytullah Ömer Dumlu, Necla Turanlı

Pages : 1299-1340

Doi:10.14812/cuefd.1678887

View : 85 | Download : 92

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :The aim of the study is to develop a valid and reliable algorithmic thinking scale that can assess cognitive processes such as understanding the problem, creating a solution path, developing strategies, identifying errors, making a solution plan, and evaluating during the process of solving mathematical problems. Based on a review of the literature literature and Futschek\\\'s algorithmic thinking process model the researchers designed a draft scale consisting of 42 items on a five-point Likert. The developed draft scale was applied to a total of 533 students, including 312 female and 221 male ninth- grade students, in three different high schools in the Kapaklı district of Tekirdağ province during the 2024-2025 academic year. In the analysis of the data, SPSS 27 and AMOS 24 were used to determine item-total test correlations, Cronbach\\\'s Alpha reliability, Spearman-Brown Prophecy reliability, composite reliability, and test-retest reliability coefficients. In addition, hypothesis testings, exploratory factor analysis, and confirmatory factor analysis were performed. As a result of the analyses and expert evaluations, the scale was reduced to 25 items to form the final scale. In conclusion, it can be said that the developed scale is expected contribute as a comprehensive and functional measurement tool to measure the difficulties students experience in the problem-solving processes, their preferences in the decision-making stages, the effectiveness of their strategy use, and their levels of algorithmic competence and awareness.
Keywords : Algoritmik Düşünme, Algoritma, Problem Çözme, Ölçek Geliştirme, matematik eğitimi

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