Analysis of mathematical reasoning ability of junior high school students of grade VII viewed from cognitive style on problem based learning with mind mapping

Istianatun Mardiyah, S. Suhito, Muhammad Fajar Safa'atullah
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引用次数: 4

Abstract

The method used in this research is a mixed method with the research design that is explanatory sequential design. The result of this research are (1) Mathematical reasoning ability of grade VII students after being given learning by using PBL with mind mapping reached minimal completeness criteria; (2) the description of students' mathematical reasoning ability with independent field cognitive style were capable to present mathematical statements, propose conjecture, do mathematical manipulation, give reason to solution, and draw conclusion; and (3) the description of students' mathematical reasoning ability with field-dependent cognitive style were capable to present mathematical statements, yet incapable to propose conjecture, FDK students were less able to manipulate mathematics, while FDL students were incapable to perform mathematical manipulation, provide reason for solution, and draw conclusions.
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从认知风格角度分析初中七年级学生基于问题的思维导图学习的数学推理能力
本研究所使用的方法是一种与研究设计的混合方法,即解释性顺序设计。本研究的结果是:(1)七年级学生在使用PBL和思维导图进行学习后,数学推理能力达到最小完全性标准;(2) 对学生数学推理能力的描述具有独立的领域认知风格,能够提出数学陈述、提出猜想、进行数学运算、给出解决方案的理由并得出结论;(3)领域依赖认知风格的学生数学推理能力描述能够呈现数学陈述,但不能提出猜想,FDK学生对数学的操纵能力较弱,而FDL学生则不能进行数学操纵、提供解决理由和得出结论。
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