Universal Journal of Educational Research Vol. 8(2), pp. 508 - 519
DOI: 10.13189/ujer.2020.080222
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Factors Affecting Techniques of Teaching Theorem Proof


Nina Tarasenkova 1,*, Iryna Akulenko 2, Mykhailo Burda 3, Kira Hnezdilova 4
1 Department of Mathematics and Methods of Teaching Mathematics, Educational-Scientific Institute of Informational and Educational Technologies, Bohdan Khmelnytsky National University of Cherkasy, Ukraine
2 Department of Algebra and Calculus, Educational-Scientific Institute of Informational and Educational Technologies, Bohdan Khmelnytsky National University of Cherkasy, Ukraine
3 Department of Mathematical and Computer Education, The Institute of Pedagogy of the National Academy of Pedagogical Sciences of Ukraine, Ukraine
4 Department of Pre-school Education, Educational-Scientific Institute of Pedagogical Education, Social work and Arts, Bohdan Khmelnytsky National University of Cherkasy, Ukraine

ABSTRACT

Students’ mastering the art of proof is one of the most important educational results of teaching Mathematics in the secondary school. The study shows that there are significant challenges, gaps, and weaknesses in the practice of teaching reasoning and proving. The goal of the research is to determine the way of using traditional teaching practices to present reasoning and proving, the way of organizing the review and mastery of the theorem proofs. In addition, the obvious and hidden factors affecting the students’ productivity in these activities were identified. To study the problem, a survey that involved 136 Mathematics teachers across Ukraine was carried out. A standard close-ended questionnaire was developed. Factor analysis was used to analyze the results of the survey. The important factors determining the time efficiency when a teacher organizes teaching and learning of a theorem proof, were discovered. The analysis of the factors and numerical loadings of variables forming them, result in the conclusions presented in this paper.

KEYWORDS
Secondary School, Teaching Mathematics, Theorem, Teaching Theorem Proof

Cite this paper
Nina Tarasenkova , Iryna Akulenko , Mykhailo Burda , Kira Hnezdilova . "Factors Affecting Techniques of Teaching Theorem Proof." Universal Journal of Educational Research 8.2 (2020) 508 - 519. doi: 10.13189/ujer.2020.080222.