Validation of a critical thinking test in mathematics for senior high school

M. Aure, Enriqueta D. Reston
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Abstract

Critical thinking equips a person with the competencies needed and develops the power of the mind extensively. The development of critical thinking is known as an essential goal in educational systems.  However, the assessment of critical thinking is not an easy feat. This study validated the critical thinking skills test in mathematics for senior high school students based on a model of critical thinking skills and learning areas of the K to 12 Mathematics Curriculum. The instrument validation process to 902 respondents through cluster sampling from different senior high schools. With an initial 45 items on three dimensions of critical thinking, the test's final form consisted of only 30 items after the items were screened based on the validation process. The content validation was carried out through an expert examination of the items and a comparison of the test results developed with Cornell's critical thinking for criterion-related validity evidence (r = 0.299, p < 0.01). Construct validation by factor analysis, and results generated 13 factors accounting for 58.51% of the variance. These results indicated that the developed mathematics critical thinking test measured other than the specified critical thinking skills model used. The developed test may try to assess students' critical thinking in the context of mathematics. Furthermore, this may contribute to promoting teaching and assessment strategies gears towards the development of students' mathematical critical thinking.
高中数学批判性思维测试的验证
批判性思维使一个人具备所需的能力,并广泛地发展思维的力量。批判性思维的发展被认为是教育系统的一个基本目标。然而,批判性思维的评估并不是一件容易的事。本研究基于K至12年级数学课程中批判性思维技能与学习领域的关系模型,对高中生数学批判性思维技能测试进行了验证。通过整群抽样,对902名来自不同高中的受访者进行了仪器验证过程。最初有45个关于批判性思维的三个维度的问题,经过验证过程的筛选后,最终的测试形式只包括30个问题。内容验证通过专家对项目进行检查,并与康奈尔批判性思维开发的测试结果进行标准相关效度证据的比较(r = 0.299, p < 0.01)。通过因子分析进行结构验证,结果产生13个因子,占方差的58.51%。这些结果表明,发达数学批判性思维测试测量的不是指定的批判性思维技能模型。开发的测试可能试图评估学生在数学背景下的批判性思维。此外,这可能有助于促进面向学生数学批判性思维发展的教学和评估策略。
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