Subtraction: Booklet 3
Subtraction: Booklet 3
Subtraction: Booklet 3 – General Principles of Regrouping & Borrowing from Pattern Press is a hands-on math curriculum resource designed to help students develop a deep conceptual understanding of regrouping and subtraction through manipulatives, pattern recognition, and discovery-based learning.
This complete booklet set includes a 68-page Parent/Teacher Guide and a 78-page Student Workbook that guide students through the principles of regrouping using visual models, Circle Math, and hands-on mathematical exploration. Developed by Prof. Emeritus Michael Butler at the world renowned UCI Farm Elementary School, this unique approach moves beyond memorizing borrowing procedures and instead helps students understand why regrouping works.
The Patterns in Arithmetic series teaches subtraction conceptually through active learning and inductive reasoning. Circle Math is the program’s unique approach to regrouping, where students break large problems into many smaller problems, solve each part, and combine the results. Through guided discovery, learners recognize patterns and build flexible mathematical thinking that leads to lasting understanding.
Students explore regrouping with manipulatives, nonstandard methods, and multi-digit subtraction activities that gradually connect concrete experiences to standard subtraction notation and recording.
The Parent/Teacher Guide includes lesson instructions, sample dialogues, teaching support, games, and the Answer Key. The Student Workbook includes worksheets and practice pages designed to reinforce conceptual understanding through visual and tactile learning.
Topics included in this booklet:
- Student Assessment
- Assessment Guide
- Regrouping: Introduction and Philosophy
- Review of Circle Math with Subtraction
- Discovering How to Regroup with Subtraction Using Manipulatives
- Nonstandard Regrouping
- Standard Regrouping
- Three-Digit Regrouping: Manipulative and Recording
- Answer Key
A free downloadable PDF is also included:
This resource includes:
- Foreword by Professor Michael Butler
- Introduction
- Farm School Math Notes
- Teaching Techniques
- Arithmetic Conventions
- Math Journal
- Sequence Guides
- Lesson Planning
- Materials and Resources
- Base Ten Materials
- Series Overview
Core Learning Skills:
- Understanding regrouping conceptually through hands-on exploration
- Building subtraction fluency through Circle Math strategies
- Developing flexible thinking with standard and nonstandard regrouping
- Connecting manipulatives to written subtraction recording
- Strengthening number sense and place value understanding
- Breaking large subtraction problems into manageable steps
- Recognizing patterns within regrouping and subtraction procedures
- Supporting conceptual understanding before procedural memorization
- Building confidence with multi-digit subtraction and borrowing concepts
Perfect for:
- Homeschool math curriculum
- Classroom teachers using hands-on subtraction instruction
- Charter school math curriculum programs
- Visual and tactile learners
- Multi-digit subtraction and borrowing instruction
Details
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