MATHEdunesa
Vol 12 No 2 (2023): Jurnal Mathedunesa Volume 12 Nomor 2 Tahun 2023

High School Students' Combinatorial Thinking in Solving Combinatoric Problems Based on Mathematical Ability

Mohamad Haris Khunaifi (Universitas Negeri Surabaya)
Susanah Susanah (Universitas Negeri Surabaya)



Article Info

Publish Date
11 Jul 2023

Abstract

The purpose of this research is to describe the combinatorial thinking of high school students in solving combinatoric problems based on mathematical ability. Combinatorial thinking is a basic thinking ability that must be continuously developed towards critical thinking abilities and skills, so as to build one's knowledge or arguments and experiences. This research is a descriptive study using a qualitative approach. The research subjects consisted of three 16-year-old students who had studied probability material for class X and had high, medium, and low mathematical abilities. The data in this study were obtained through combinatoric problem assignments and task-based interviews. The data obtained will be analyzed by reducing data, presenting data, and drawing conclusions. The results of the study show that: (a) high-ability students' combinatorial thinking starts from Formulas/Expressions → Counting Processes → Sets of Outcomes → Expressions → Counting Processes → Sets of Outcomes → Counting Processes → Sets of Outcomes which fulfills all indicators of the level of combinatorial thinking and using two types of verification strategies. (b) medium-ability students' combinatorial thinking starts from Expressions → Sets of Outcomes → Formulas → Counting Processes → Sets of Outcomes → Counting Processes → Sets of Outcomes which fulfills all indicators of the level of combinatorial thinking and uses one type of verification strategy. (c) low-ability students' combinatorial thinking starts from Expressions → Sets of Outcomes → Counting Processes → Sets of Outcomes in which some indicators of the level of combinatorial thinking are met and do not use verification strategies.

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Journal Info

Abbrev

mathedunesa

Publisher

Subject

Education Mathematics Other

Description

MATHEdunesa is a scientific journal of mathematics education published by the Mathematics Department of Faculty of Mathematics and Natural Sciences of Universitas Negeri Surabaya. MATHEdunesa accepts and publishes research articles and book review in the field of Education, which includes: ✅ ...