• 제목/요약/키워드: Mathematical journal

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PISA 2012 공개 문항을 활용한 예비수학교사의 수학내용지식 분석 사례연구 (Analysis of Mathematics Preservice Teachers' Mathematical Content Knowledge based on PISA 2012 Items)

  • 임해미;이민희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권3호
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    • pp.207-222
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    • 2015
  • Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.

초등학교 수학 수업에 나타난 수학적 연결의 대상과 방법 분석 (An Analysis of the Objects and Methods of Mathematical Connections in Elementary Mathematics Instruction)

  • 김유경;방정숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권4호
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    • pp.455-469
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    • 2012
  • Given the importance of mathematical connections in instruction, this paper analyzed the objects and the methods of mathematical connections according to the lesson flow featured in 20 elementary lessons selected as effective instructional methods by local educational offices in Korea. Mathematical connections tended to occur mainly in the introduction, the first activity, and the sum-up period of each lesson. The connection between mathematical concept and procedure was the most popular followed by the connection between concept and real-life context. The most prevalent method of mathematical connections was through communication, specifically the communication between the teacher and students, followed by representation. Overall it seems that the objects and the methods of mathematical connections were diverse and prevalent, but the detailed analysis of such cases showed the lack of meaningful connection. These results urge us to investigate reasons behind these seemingly good features but not-enough connections, and to suggest implications for well-connected mathematics teaching.