Research in Mathematical Education (한국수학교육학회지시리즈D:수학교육연구)

Korean Society of Mathematical Education (한국수학교육학회)
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Building a Model(s) to Examine the Interdependency of Content Knowledge and Reasoning as Resources for Learning

  • Cikmaz, Ali (Teaching and Learning, University of Iowa) ;
  • Hwang, Jihyun (Mathematics Education, Korea National University of Education) ;
  • Hand, Brian (Teaching and Learning, University of Iowa)
  • Received : 2022.06.07
  • Accepted : 2022.06.29
  • Published : 2022.06.30
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Abstract

This study aimed to building models to understand the relationships between reasoning resources and content knowledge. We applied Support Vector Machine and linear models to the data including fifth graders' scores in the Cornel Critical Thinking Test and the Iowa Assessments, demographic information, and learning science approach (a student-centered approach to learning called the Science Writing Heuristic [SWH] or traditional). The SWH model showing the relationships between critical thinking domains and academic achievement at grade 5 was developed, and its validity was tested across different learning environments. We also evaluated the stability of the model by applying the SWH models to the data of the grade levels. The findings can help mathematics educators understand how critical thinking and achievement relate to each other. Furthermore, the findings suggested that reasoning in mathematics classrooms can promote performance on standardized tests.

Keywords

Acknowledgement

This research was supported by a grant from the Iowa Measurement Research Foundation (IMRF)

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