教員養成課程の教科「数学」専門科目における「証明」の扱いに関する考察 Ⅰ

• 丹羽, 雅彦

書誌事項

タイトル別名

• 教員養成課程の教科「数学」専門科目における「証明」の扱いに関する考察(1)
• キョウイン ヨウセイ カテイ ノ キョウカ スウガク センモン カモク ニ オケル ショウメイ ノ アツカイ ニ カンスル コウサツ 1
• A Consideration on the Instruction of "Proof" in the Subjects of Mathematical Contents in Mathematics Education in Teachers' Training Course Ⅰ

抄録

type:Departmental Bulletin Paper

In Mathematics the reasons that some Theorem or Proposition is true are assured by"Proof under Logical Deduction". Strictness, rigidity and rightness are essential demands ofMathematics. In Education of Mathematics in teachers' training course it is important tomake many students understand the reasons of mathematical statements while meetingsuch demands of Mathematics. I will study concretely the instruction of "Proof" by turningmy attention to various features of the structures of proofs.In the first part of this series I will consider in detail the instruction of "Proof" in thecase of Fundamental Theorem of Simple Algebraic Extensions Fields on Galois Theory inthe subject "Advanced Algebra". Since this theorem has essentially different variousproofs I am first interested in such case and tend to make a deep consideration about itsproofs.

identifier:滋賀大学教育学部紀要, 3, 自然科学, 第56号, pp.63-75

収録刊行物

• 滋賀大学教育学部紀要, 3, 自然科学

  滋賀大学教育学部紀要, 3, 自然科学 56 63-75, 2006

  滋賀大学教育学部

詳細情報

• CRID: 1050564288395328128
• NII論文ID: 110006266700
• NII書誌ID: AA11123267
• ISSN: 13429272
• NDL書誌ID: 8826785
• Web Site: http://hdl.handle.net/10441/492
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8826785
• 本文言語コード: ja
• 資料種別: departmental bulletin paper
• データソース種別:
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  • NDL
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