Instructional Strategies
Effective math instruction requires strategic, high-impact teaching practices and knowing when to use them and how to combine them to support learning goals.
This resource presents research-backed approaches proven to enhance math education in both elementary and secondary settings
Concrete-Pictorial-Abstract (CPA) Strategy
Builds Strong Foundations: Using tangible objects (concrete) helps students grasp concepts physically before transitioning to visual representations (pictorial) and symbolic notation (abstract).
Enhances Understanding: This progression allows learners to develop a deeper conceptual understanding, making mathematical ideas more accessible and less intimidating.
Supports All Learners: CPA accommodates different learning styles, ensuring students of varying abilities can engage with and master mathematical concepts effectively.
This approach fosters confidence and long-term retention in math learning.
Click below to learn more about various visual respresentations to support the CPA approach.
Math Conversations
Read, Stop, Draw
Small Group Support
Addressing Unfinished Learning
Data Talks
Building Automatic Thinkers, Not Memorizers
Intervention Strategies & Resources
Consolidation Strategies
Deliberate Practice
Visualize, Verbalize, Verify
Building Thinking Classrooms
A breakdown of lesson components in a Thinking Classroom
Summary of the 14 practices based on research by Dr. Liljedahl
Sketchnote created and shared by Laura Wheeler.
Deeper summary of Visibly Random Groups based on research by Dr. Liljedahl
Sketchnote created and shared by Laura Wheeler.
Deeper summary about using Vertical Non-Permanent Surfaces (VNPS) based on research by Dr. Liljedahl
Sketchnote created and shared by Laura Wheeler.
Deeper summary of the first three practices based on research by Dr. Liljedahl
Sketchnote created and shared by Aleida Klassen.
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