PiA Philosophy and Series Overview Chart
PiA Philosophy and Series Overview Chart
PiA Philosophy and Series Overview Chart from Pattern Press is a free downloadable PDF that introduces the educational philosophy behind the Patterns in Arithmetic (PiA) math series developed at the UCI Farm School. This resource provides a clear overview of how the curriculum is structured and how students are guided toward deep mathematical understanding through exploration, patterns, and hands-on learning.
This document outlines the instructional approach used throughout the PiA series, emphasizing free exploration, guided discovery, and the development of mathematical thinking through meaningful engagement with concepts. It also includes a series organization chart that shows how the curriculum progresses across grade levels and mathematical topics.
Rather than focusing on memorization, the PiA philosophy supports learning through experience, pattern recognition, and thoughtful discussion. Teachers and parents are guided to support students as they build their own understanding of mathematical relationships over time.
Contents:
- Foreword
- Introduction
- Free Exploration
- A Guideline to the Lessons
- Farm School Math Notes
- Teaching Techniques
- Arithmetic Conventions
- Lesson Formats
- Take Delight
- Materials
- Resources
Free PDF download – 22 pages
Free PDF download – 1 page overview chart
Perfect for:
- Homeschool parents exploring a conceptual math curriculum
- Classroom teachers reviewing instructional philosophy and structure
- Charter school curriculum planners
- Math tutors seeking a deeper teaching approach
- Educators interested in hands-on and discovery-based math instruction
- Anyone wanting to understand the PiA teaching philosophy
Details
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