Abstract

Combinatorial thinking is a way of thinking in solving combinatory problems. Combinatory problems are one of the difficult problems for students to solve. This study aims to analyses students’ combinatorial thinking processes in solving problems. Given two combinatory problems that consist of problems with multiplication rule and combination. The Problems were given to two 11th grade senior-high school students. The results obtained were that there was a tendency for male Participants to do the two different ways which are direct counting and using diagram. The female participants did the work with one way which is direct counting. On more complex issues, namely about combination, students' thinking models go through stages of set of outcomes. From this research, it is expected that combinatory material learning is emphasized on the discovery of formulas by students themselves inductively, especially deductively. So that in this case the students interpret the combinatory formula more.

Highlights

  • Combinatorial Thinking is interesting content to study

  • Combinatorial thinking is a type of thinking that is done in finding solutions to discrete problems [4]

  • This study looks at how students solve each combinatoric problem at each stage

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Summary

Introduction

Combinatorial Thinking is interesting content to study. Lockwood and Reed [1] have looked at how one generates a combinatoric problem reviewed by a combinatorialGusti Uripno, Abdul Haris Rosyidi.thinking model in [2]. Combinatorial Thinking is interesting content to study. Lockwood and Reed [1] have looked at how one generates a combinatoric problem reviewed by a combinatorial. Lockwood and Reed [3] examined how to improve combinatoric activity through practice. Combinatorial thinking is a type of thinking that is done in finding solutions to discrete problems [4]. Combinatorial thinking is a person's thinking ability in solving combinatoric problems and their techniques and strategies [5]. Combinatorial thinking includes how one tries to calculate the possibilities in a combination of several objects from the available objects. To analyze how the Combinatorial Thinking process takes place, problems that are associated with combinatorics are used. Because combinatorial thinking has a process, it will analyze the stages of each step to solve the problem

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