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The Role of Proof in Mathematics
The Role of Proof in Mathematics
Proof in Mathematics Proofs are to mathematics what spelling (or even calligraphy) is to poetry. Mathematical works do consist of proofs, just as poems do consist of characters.                                Vladimir Arnold
Standards on Proof Instructional programs that should enable students to: ,[object Object]
select and use various types of reasoning and methods of proof
By the end of middle school, students should be able to understand and produce mathematical proofs,[object Object]
Proof ,[object Object]
To explain.
Informal and formal.
Logic
No single correct answer,[object Object]
Three Forms of Formal Proof ,[object Object]
Analytic Geometry
Transformational Geometry,[object Object]
Synthetic Geometry ,[object Object]
19th Century
Pure geometry
Logical Arguments,[object Object]
The most common proof – The Pythagorean Theorem
Grade 7 – MathematicsFinding the value of (a-b)2 (Geometrical Proof)
Analytic Geometry ,[object Object]
Algebra

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The role of proof in mathematics

Notes de l'éditeur

  1. http://vimeo.com/3386641
  2. http://www.graspr.com/videos/Math-Proof-Negative-Times-Negative-Equals-Positive-3