Subtraction: Booklet 3

Subtraction:  Booklet 3 - Parent/Teacher Guide - General Principles of Regrouping (borrowing)   

Parent/Teacher Guide 68 pages - stapled booklet Student Workbook 78 pages - stapled booklet

The Parent/Teacher Guide has instructions on how to teach the lessons, sample dialogues, games, and the Answer Key.  The Student Workbook has worksheets and practice pages.

Click this title to download General Organization Grade 3 - a free PDF you print.

This unique approach to subtraction was developed by Prof. Emeritus Michael Butler at the world renowned UCI Farm Elementary School.

  • Memorizing the recipe for how to borrow does not result in understanding of the basic concepts of regrouping.  The Patterns in Arithmetic series teaches for understanding.  The student constructs understanding through experience not being told "how to do" the problems.
  • Circle Math is our unique way of teaching regrouping.  It is the process of breaking up a large problem into many small problems, solving each small problem, and adding the results.
  • The student is guided to find patterns and generalize those patterns in to working knowledge of how procedures work and why they work that way.
  • Parents are guided though a series of lessons that give sample dialogues that a teacher might have with a student who is learning.

Student Assessment

Assessment Guide

Regrouping:  Introduction and Philosophy

Review of Circle Math with Subtraction

Discovering How to Regroup with Subtraction using manipulatives and Nonstandard Regrouping

Standard Regrouping

Three Digits Regrouping:  Manipulative and Recording

Answer Key is in the Parent/Teacher Guide

General Organization 3 includes:  Foreword by Professor Michael Butler, Introduction, Farm School Math Notes, Teaching Techniques, Arithmetic Conventions, Math Journal, Sequence Guides, Lesson Planning, Materials, Resources, Base Ten Materials, Series Overview.