The Influence of Numerical Ability, Mathematical Communication, Metacognition, and Self-Efficacy on Students’ Critical Thinking Skills in Solving Mathematical Problems

DOI

10.2991/assehr.k.211211.079How to use a DOI?

Keywords

Numerical; Mathematical communication; Metacognition; Self-efficacy; Critical thinking

Abstract

The purpose of this study is to discover the extent of the influence of numerical abilities, mathematical communication, metacognition, and self-efficacy on students’ critical thinking skills in solving mathematical problems. The type of research is ex-post facto. The research population was all students of grade XI MIPA at SMAN 10 Gowa with 122 students. The technique of determining the sample was done by using saturated sampling. The instruments used were numerical ability test, mathematical communication ability test, metacognition perception questionnaire, self-efficacy questionnaire, and critical thinking skills test. The data analysis technique used was descriptive statistical analysis and inferential statistics using path analysis. The results of descriptive research show that (1) the students of grade XI MIPA at SMAN 10 Gowa have an average numerical ability 64.47 which is in high category and a standard deviation of 17.92, an average mathematical communication ability is 83.95 in very high category and standard deviation of 8.78, the average of students’ critical thinking skills is 88.67 in very high category and standard deviation of 10.69 with an ideal score of 100, the average of metacognitive skills is 58.8 in moderate category and the standard deviation 9.8 with an ideal score of 81, while the average of self-efficacy is 53.9 in moderate category and the standard deviation 7.75 with an ideal score of 73; (2) the results of inferential analysis show that numerical ability has a significant positive influence directly on students’ critical thinking skills in solving mathematical problems by 0.039 with a path coefficient of 0.171, and an indirect positive influence through self-efficacy by 0.048, mathematical communication ability has a significant positive influence directly on students’ critical thinking skills in solving mathematical problems by 0.000 with a path coefficient of 0.303, and an indirect positive influence through self-efficacy by 0.047, Metacognition has a direct positive influence on students’ critical thinking skills in solving mathematical problems by 0.209 with a path coefficient of 0.109 and an indirect positive influence through self-efficacy by 0.077.

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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TY  - CONF
AU  - M. Arif
AU  - Hamzah Upu
AU  - Bernard
PY  - 2021
DA  - 2021/12/13
TI  - The Influence of Numerical Ability, Mathematical Communication, Metacognition, and Self-Efficacy on Students’ Critical Thinking Skills in Solving Mathematical Problems
BT  - Proceedings of the International Conference on Educational Studies in Mathematics (ICoESM 2021)
PB  - Atlantis Press
SP  - 470
EP  - 476
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.211211.079
DO  - 10.2991/assehr.k.211211.079
ID  - Arif2021
ER  -