Promoting students reversible reasoning on composition of function problem
Muhammad Ikram (a*), Purwanto (b), I Nengah Parta (b), Hery Susanto (b)

(a) Universitas Cokroaminoto Palopo, Faculty Teacher and Training, Department of Mathematics Education, Jalan Latammacelling No 19, Palopo, South Sulawesi, Indonesia
* ikram_math[at]uncp.ac.id

(b) Universitas Negeri Malang, Faculty of Mathematics and Science

Abstract

This present study investigated students reversible reasoning type related to composition of function, particularly investigating mental processes the invers of function. Participants were three undergraduate mathematical students who were considered to have different reasoning types and enrolled in the same course. these students were tested before with test measuring their understanding of aspect function. We conducted individual interviews and asked each students to explain how them make inference about tasks. our results found that three categories of reversible reasoning by synthezise analytic thinking and schema development levels: (1) intra-analytic reversible, (2) inter-analytic reversible, and (3) trans-analytic reversible. Each categories are explored in detail and the potential for using the framework is discussed

Keywords: Reversible reasoning, Composition of Function, intra-analytic reversible, inter-analytic reversible, trans-analytic reversible

Topic: 1. Mathematics Education