Developing Mathematical Conceptual Understanding Through Problem-Solving: The Role of Abstraction Reflective

DOI

10.2991/assehr.k.211125.009How to use a DOI?

Keywords

reflective abstraction; conceptual understanding; problem-solving

Abstract

Reflective abstraction is a mechanism that moves individuals from one level to a higher level of knowledge. Reflective abstraction is a mechanism that builds novelty. Therefore, the study of reflective abstraction is dominant in the process of how reflective abstraction forms new knowledge or understanding. For example, Piaget, Dubinsky, David Tall, Mitchelmore, are some researchers who focus on the process of reflective abstraction in concept formation. The resulting mastery of the students’ concepts played a lot in the problem-solving process. A good understanding of concepts, students will be able to reason, comprehend, operate, and connect the mathematics idea that will play a role in problem-solving. However, when students have to solve assignments or problems that are not routine, this problem-solving process also contributes to the development of understanding mathematical concepts. The problem-solving process will result in understanding a new concept if there is a reflective abrasion in it. This paper is the result of a literature review that will describe the role of reflective abstraction in problem-solving so that students can get new concepts.

Copyright

© 2021 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article under the CC BY-NC license.

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TY  - CONF
AU  - Lulu Choirun Nisa
AU  - St. Budi Waluya
AU  - Kartono
AU  - Scholastika Mariani
PY  - 2021
DA  - 2021/11/26
TI  - Developing Mathematical Conceptual Understanding Through Problem-Solving: The Role of Abstraction Reflective
BT  - Proceedings of the 6th International Conference on Science, Education and Technology (ISET 2020)
PB  - Atlantis Press
SP  - 38
EP  - 42
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.211125.009
DO  - 10.2991/assehr.k.211125.009
ID  - Nisa2021
ER  -