Abstract
This study aims at identifying the effect of collaborative problem solving (CPS) learning strategies on students' mathematical reasoning abilities with different cognitive styles, namely field-dependent (FD) and field-independent (FD). This study is a quasi-experimental study with a 2x2 factorial design. A total of 103 students of SMPN 3 Mesuji, Indonesia as research subjects. Mathematical reasoning ability data were obtained from essay tests and cognitive style data were obtained from the GEFT test. Data analysis used two-way analysis of variance (ANOVA) test. The results of this study are: 1) there were significant differences in mathematical reasoning abilities between students who received collaborative problem solving and direct instruction learning strategies, 2) there were significant differences in mathematical reasoning abilities between students who had field dependent and field independent cognitive styles, 3) there was no significant interaction between different learning strategies (collaborative problem solving and direct instruction) and cognitive styles (field dependent and field independent) on mathematical reasoning abilities.
Highlights
Ability is a very important learning outcome for students
The results of the assessment PISA on 2015, Indonesia is ranked 63 out of 69 countries and is in the low material mastery group with an average score of mathematics (M = 386) (OECD, 2016), while in 2018 Indonesia continues to decline with an average score mathematics (M = 376) (OECD, 2018)
Based normality test results using the Kolmogorov-Smirnov test in Table 5, the value of the significance of 0.200 (p> 0.05), indicating that the data of mathematical reasoning abilities normally distributed
Summary
National Council of Teachers of Mathematics (2000) emphasizes the importance of reasoning and problem solving as a result of learning. The results of the assessment PISA on 2015, Indonesia is ranked 63 out of 69 countries and is in the low material mastery group with an average score of mathematics (M = 386) (OECD, 2016), while in 2018 Indonesia continues to decline with an average score mathematics (M = 376) (OECD, 2018). Based on these assessments, it shows that students' mathematical abilities in solving math problems are still low. Reasoning ability is a very essential ability in mathematical problems solving
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