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(An) instance analysis in mathematics textbooks on induction reasoning and analogy

  • 저자

    신은아

  • 학위수여기관

    경북대학교 교육대학원

  • 학위구분

    국내석사

  • 학과

    수학교육전공

  • 지도교수

  • 발행년도

    2004

  • 총페이지

    i, 61p.

  • 키워드

    귀납추론 유추 수학교육;

  • 언어

    kor

  • 원문 URL

    http://www.riss.kr/link?id=T10045649&outLink=K  

  • 초록

    The most powerful merit of mathematics is in reasoning. Human beings discover a rule from an observation and experiment of concrete and particular facts and then they expand their knowledge. Anology as well as induction reasoning is also used as a way of the discovery of mathematical knowledge. According to this study, we can find a lot of cases in recent mathematics textbooks, which show us the principles of mathematics through induction reasoning and analogy. We can also instruct in mathematics with these cases. On the basis of these principles, teachers should give their students as many chances as possible to study mathematics for themselves, to think about the problems in many ways and to search for the principles of mathematics by themselves. Teachers should also help students develop the ability to reason and think.


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