Table of Contents

Unit 3: Reasoning and Explaining (MP2 and MP3)

3.1.3 Introduction to Conjectures

Conjectures enable students to discover and construct 'new' mathematical knowledge by connecting what they are trying to learn to previous experience and knowledge."

Carlton, 1998

Why Are Conjectures Valuable for Students?

The process of students making mathematical conjectures about predictable outcomes — and then testing these conjectures — can impact student learning in the following ways:

  • Engages students in learning as they become invested in learning if their conjectures are correct or not
  • Stimulates students to think and reason
  • Gives students a chance to confront their misconceptions or faulty ideas
  • Helps students construct their knowledge in a way that leads to deeper understanding and reasoning abilities

Alt, 2012