The level of mathematics reflective abstraction of pre-service elementary school teachers

Walid, Ulia N., Waluya S.B.

Abstract

Understanding the previous mathematical content will determine the understanding of the next mathematical content. Understanding the initial concept is the first step in the abstraction process in learning mathematics. The process of abstraction is needed in Understanding mathematics content and is used in every mathematical thinking. Reflective abstraction as part of the abstraction process is the ability to change, combine or associate pre-existing conceptions into new situations. The level of reflective abstraction consists of recognition, representation, structural abstraction, and structural awareness. This study aimed to provide an overview of the level of reflective abstraction of elementary school teacher education students (n= 6) in learning mathematics. The data collection techniques are in the form of tests and interviews. The results showed that the level of reflective abstraction could be achieved according to the students' initial conceptual understanding. It was also found that students who had non-hierarchical levels of reflective abstraction needed other skills and activities to improve their reflective abstraction. One of the supporting factors is prerequisite knowledge.

Journal
Aip Conference Proceedings
Page Range
Publication date
2022
Total citations
Encyclopedia of Mathematics Education

Abstraction in context: Epistemic actions

Dreyfus T., Hershkowitz R., Schwarz B.B.

Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction

Simon M.A.

Students' reflective abstraction of middle school in reconstructing quadratic equation concept based on high mathematical ability

Budi Rahaju E., Cahyani L., Masriyah

No Title

Huberman A., Miles M.

Reflective abstraction: How can you find out in mathematcis learning

Juandi D., Kusumah Y.S., Wafiqoh R.

No Title

Livingston R.B., Reynolds C.R., Willson V.

No Title

Brijlall D., Jojo Z.M.M., Maharaj A.

No Title

Creswell J.W., Creswell J.W., Creswell J. W.

No Title

Budiarto M.T., Mardiyah U.R.

Access to Document