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파스칼의 삼각형, 계차수열 및 행렬의 연계와 표현

The connections and representation of Pascal Triangles, Difference sequences and Matrices

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Abstract

It is well-known in the literature that the general term of a sequence can be represented by a linear combination of binomial coefficients. The theorem and its known proofs are not easy for highschool students to understand. In this paper we prove the theorem by a pictorial method and by a very short and easy inductive method to make the problem easy and accessible enough for highschool students.

참고문헌 (9)

  1. "고등학교 수학 Ⅰ" (2003), 중앙교육 진흥연구소
  2. "ENV이산수학" (2001), 블 랙박스
  3. "Introductory combinatorics" (1999), New Jersey: Prentice-Hall, Inc.
  4. ". Toward a theory of instruction" (1974), Harvard University Press.
  5. ". Applied combinatorics with problem solving" (1989), Addison-Wesley Publishing Company.
  6. "Introduction tasks to improve critical- and creaitive-thinking skills Developing Mathematical Reasoning in Grades K-12" (1999), VA: NCTM.
  7. NCTM, "Principles and Standards for School Mathematics" (2000), VA: Author.
  8. "Applied combinatorics" (1995), John Wiely & Sons, Inc.
  9. "Applied combinatorics" (1995), John Wiely & Sons, Inc.

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