Combinatorics problems for undergraduate students: Identification of epistemological obstacles and model of combinatorial thinking

Closed

Tri Nopriana, Tatang Hermanand, Didi Suryadi, Bambang Avip Priatna Martadiputra

2023 AIP Conference Proceedings Vol. 2811 Issue 1 Conference paper Cited by 2 SDG 4 Quartile

Abstract

This research is a Didactical Design Research (DDR) research with an interpretive paradigm approach, describing the student's epistemological obstacle and model of students' combinatorial thinking. The research subjects were students who had participated in discrete mathematics learning. Data were obtained from the essay test questions to determine the epistemological obstacle. The interviews are to confirm students' answers and select the combinatorics thinking model. The results of this study indicate that the epistemological obstacle that occurs in mathematics education students is as follows: (1) difficulty in composing mathematical sentences/models; (2) difficulty in determining the permutation concepts and combinations used; (3) difficulty finding solutions to questions that have never been encountered before; (4) errors in understanding the previous idea (namely the addition and multiplication rules). The students' thinking model is to apply the formula directly and then carry out the calculation process to find the results. No students first carry out the calculation process and then generalize it into a formula and obtain results. Further research should be carried out to see another learning obstacle, by looking at students' combinatorics thinking strategies to solve combinatorics problems. © 2023 Author(s).

Affiliations

Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 299, Jawa Barat, Bandung, Indonesia

Research at a Glance

Premium content — register to unlock

Research at a Glance

Register to unlock

Topics & SDG Alignment

Premium content — register to unlock

Topics & SDG Alignment

Register to unlock

Collaboration

Premium content — register to unlock

Collaboration

Register to unlock

Author Profile (Selected)

Premium content — register to unlock

Author Profile (Selected)

Register to unlock

References Overview

Premium content — register to unlock

References Overview

Register to unlock

Journal & Source

Premium content — register to unlock

Journal & Source

Register to unlock

Metadata & Integrity

Premium content — register to unlock

Metadata & Integrity

Register to unlock