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Is It Always True? From Detecting Patterns to Forming Conjectures to Constructing Proofs

Elizabeth Bremigan 

February 2004, Volume 97, Issue 2, Page 96

Abstract:
Using numerical problem situations to understand of the roles that reasoning and proof play in mathematics. Article discusses problem situations, students detect patterns, form conjectures related to whole numbers and operations, and use basic algebra skills to prove their conjectures. Includes three tasks with suggested conjectures and proofs.

Keywords:
Article
Algebraic Patterns
Communication
Grades 9-12
Teacher
Problems
Problem Solving / Problem Posing
Reasoning and Proof
Number Patterns