Teaching Mathematics: Discovering vs Storytelling

There exist at least two approaches to the teaching of every subject, including mathematics. The first one is as old as the world (or, at least, as the education). According to this approach, to teach something means to outline what you teach. This approach is appreciated by the great majority of te...

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Main Author: Aslanbek Naziev
Format: Article
Language:English
Published: EduSoft publishing 2018-09-01
Series:Brain: Broad Research in Artificial Intelligence and Neuroscience
Subjects:
Online Access:https://www.edusoft.ro/brain/index.php/brain/article/view/849/987
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author Aslanbek Naziev
author_facet Aslanbek Naziev
author_sort Aslanbek Naziev
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description There exist at least two approaches to the teaching of every subject, including mathematics. The first one is as old as the world (or, at least, as the education). According to this approach, to teach something means to outline what you teach. This approach is appreciated by the great majority of teachers. Because the realization of this approach in most cases reduces to the telling of stories about what is taught, I call this approach by storytelling. There exists also another approach, which goes from the famous statement by Aristotle: We learn something only when we do what we learn. From this statement, I think, was born the following idea by Herbert Spencer: What does it mean to teach? It means to encourage systematically the students to their own discoveries (as it was formulated by George Pya and Gabor Segin the epigraph to the preface of their book Problems and Theorems in Analysis and repeated in Polya, G., (1981)). This approach to teaching is natural to call discovering. In this paper, I intend to look closely to these approaches (mainly, with respect to mathematics), to identify their advantages and/or disadvantages, and to consider the work of brain hemispheres within these approaches.
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spelling doaj.art-e9d5fc141e9748bba6caa88ad08edd5d2022-12-22T04:08:12ZengEduSoft publishingBrain: Broad Research in Artificial Intelligence and Neuroscience2067-39572018-09-0193128136Teaching Mathematics: Discovering vs StorytellingAslanbek Naziev0Ryazan State University Ulitsa Svobody, 46, Ryazan', Ryazanskaya oblast', Russia, 390000 Phone: +79106458189 a.naziev@rsu.edu.ruThere exist at least two approaches to the teaching of every subject, including mathematics. The first one is as old as the world (or, at least, as the education). According to this approach, to teach something means to outline what you teach. This approach is appreciated by the great majority of teachers. Because the realization of this approach in most cases reduces to the telling of stories about what is taught, I call this approach by storytelling. There exists also another approach, which goes from the famous statement by Aristotle: We learn something only when we do what we learn. From this statement, I think, was born the following idea by Herbert Spencer: What does it mean to teach? It means to encourage systematically the students to their own discoveries (as it was formulated by George Pya and Gabor Segin the epigraph to the preface of their book Problems and Theorems in Analysis and repeated in Polya, G., (1981)). This approach to teaching is natural to call discovering. In this paper, I intend to look closely to these approaches (mainly, with respect to mathematics), to identify their advantages and/or disadvantages, and to consider the work of brain hemispheres within these approaches.https://www.edusoft.ro/brain/index.php/brain/article/view/849/987teaching mathematicsdiscovering of proofsstorytellingfunctional brain asymmetry
spellingShingle Aslanbek Naziev
Teaching Mathematics: Discovering vs Storytelling
Brain: Broad Research in Artificial Intelligence and Neuroscience
teaching mathematics
discovering of proofs
storytelling
functional brain asymmetry
title Teaching Mathematics: Discovering vs Storytelling
title_full Teaching Mathematics: Discovering vs Storytelling
title_fullStr Teaching Mathematics: Discovering vs Storytelling
title_full_unstemmed Teaching Mathematics: Discovering vs Storytelling
title_short Teaching Mathematics: Discovering vs Storytelling
title_sort teaching mathematics discovering vs storytelling
topic teaching mathematics
discovering of proofs
storytelling
functional brain asymmetry
url https://www.edusoft.ro/brain/index.php/brain/article/view/849/987
work_keys_str_mv AT aslanbeknaziev teachingmathematicsdiscoveringvsstorytelling