PM&MD

This page (along with its sub-pages)  is for my suggestions re the proposed book by Peter McLoughlin and Maria Droujkova about geometric interpretation of real numbers.

Suggested working title:

Introducing R:

How Geometric Models can Help Students to Overcome Difficulties in the Transition from Counting to the Real Number System

Here is a proposed outline:

• Motivation and Prerequisites
• Counting Numbers
• Geometric Numbers
  • Lengths and Sums
  • Rational Multiples
  • The Parallels Model
  • The Area Model
  • Other Geometric Models for Multiplication
• Physical Models, Units and Measurement
• Formal Constructions and Axioms
• Paedagogical Recommendations