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

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, 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.