Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)

Fragmentation of Students’ Thinking Structure in Constructing the Concept of Linear Inequality of Two Variables

Authors
Mutia Sari Widyaningrum1, *, Budi Usodo2, Hasih Pratiwi3
1Postgraduate School of Mathematics Education, Faculty of Teacher Training and Education, Universitas Sebelas Maret Surakarta, Indonesia.
2,3Faculty of Teacher Training and Education Universitas Sebelas Maret Surakarta, Indonesia.
*Corresponding author. Email: mutiasw@student.uns.ac.id
Corresponding Author
Mutia Sari Widyaningrum
Available Online 23 November 2021.
DOI
10.2991/assehr.k.211122.026How to use a DOI?
Keywords
Concept construction; Fragmentation of thinking structure; Linear inequalities of two variables; Mathematical problem solving
Abstract

Learning mathematics has a clear, ordered and complete structure or pattern of thinking. Fragmentation of the thinking structure occurs at a time which is a factor inhibiting students’ thinking processes to construct the material concepts they get and in solving mathematical problems. This study aims to analyze the occurrence of fragmentation of thinking structures by looking at students’ errors in solving problem-solving abilities on the material of linear inequalities of two variables. This type of research is qualitative research. A search was conducted on the occurrence of errors in the selected research subjects by carrying out tests with the think aloud method and task-based in-depth interviews in order to obtain data on students who experienced fragmentation of thinking structures on the material of two-variable linear inequalities. The results showed that there was fragmentation of the thinking structure in students’ minds, especially in constructing concepts and reviewing the results of solving these problems. Each student seems to have fragmentation of different thinking structures according to the level of understanding that students have. Students are not able to use mathematics according to the actual concept of inequality and the occurrence of fragmentation of thinking structures that hinders students’ thinking processes.

Copyright
© 2021 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
23 November 2021
ISBN
978-94-6239-463-6
ISSN
2352-5398
DOI
10.2991/assehr.k.211122.026How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Mutia Sari Widyaningrum
AU  - Budi Usodo
AU  - Hasih Pratiwi
PY  - 2021
DA  - 2021/11/23
TI  - Fragmentation of Students’ Thinking Structure in Constructing the Concept of Linear Inequality of Two Variables
BT  - Proceedings of the International Conference of Mathematics and Mathematics Education (I-CMME 2021)
PB  - Atlantis Press
SP  - 186
EP  - 194
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.211122.026
DO  - 10.2991/assehr.k.211122.026
ID  - Widyaningrum2021
ER  -