On the Teaching and Learning of Fractions through a Conceptual Generalization Approach

Bojan Lazić; Sergei Abramovich; Mirela Mrđa; Daniel A. Romano

doi:10.29333/iejme/646

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Bojan Lazić, Sergei Abramovich, Mirela Mrđa, Daniel A. Romano

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Abstract

This paper deals with precursory (propaedeutic) learning of the concept of number in the elementary mathematical education. The authors’ objective is to suggest a method allowing for the increase of the effectiveness of interactive expansion of the concept of number by using a grade-appropriate learning framework for elementary mathematical education content. A theoretical background for the creation of this method is based on the description of various characteristics of precursory learning and interactive teaching of mathematics as well and the flexible differentiation approach. The paper especially emphasizes the possibilities of propaedeutic understanding of the concept of fraction and examine the effects of such approach in terms of student achievement in elementary mathematics education, on the basis of a methodological approach. Results obtained during the experimental research suggest that under the influence of the methodological approach of introducing fractions through propaedeutic learning, students achieve significantly better results in learning compared to students who have not used this method.

Keywords

Fractions
Propaedeutic learning
Methodological approach
Flexible differentiation
Empirical evaluation

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 12, Issue 3, October 2017, 749-767

https://doi.org/10.29333/iejme/646

Publication date: 15 Nov 2017

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How to cite this article

APA

Lazić, B., Abramovich, S., Mrđa, M., & Romano, D. A. (2017). On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. International Electronic Journal of Mathematics Education, 12(3), 749-767. https://doi.org/10.29333/iejme/646

Vancouver

Lazić B, Abramovich S, Mrđa M, Romano DA. On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. INT ELECT J MATH ED. 2017;12(3):749-67. https://doi.org/10.29333/iejme/646

AMA

Lazić B, Abramovich S, Mrđa M, Romano DA. On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. INT ELECT J MATH ED. 2017;12(3), 749-767. https://doi.org/10.29333/iejme/646

Chicago

Lazić, Bojan, Sergei Abramovich, Mirela Mrđa, and Daniel A. Romano. "On the Teaching and Learning of Fractions through a Conceptual Generalization Approach". International Electronic Journal of Mathematics Education 2017 12 no. 3 (2017): 749-767. https://doi.org/10.29333/iejme/646

Harvard

Lazić, B., Abramovich, S., Mrđa, M., and Romano, D. A. (2017). On the Teaching and Learning of Fractions through a Conceptual Generalization Approach. International Electronic Journal of Mathematics Education, 12(3), pp. 749-767. https://doi.org/10.29333/iejme/646

MLA

Lazić, Bojan et al. "On the Teaching and Learning of Fractions through a Conceptual Generalization Approach". International Electronic Journal of Mathematics Education, vol. 12, no. 3, 2017, pp. 749-767. https://doi.org/10.29333/iejme/646