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CPM is Built Upon Three Pillars

CPM Research Base: The Three Pillars

CPM’s curriculum and professional development are grounded in decades of mathematics education research. CPM’s Three Pillars were synthesized from NCTM standards and constructivist research, and they continue to be validated by current scholarship.

CPM’s foundation

The three pillars

Synthesized from NCTM standards and research on constructivism in the early 1990s, CPM’s three pillars are still reflected in current math education research and standards, and their benefits for students only deepen over time.

Three Pillars of Learning
Collaborative Learning: Collaborative LearningStudents participate more fully in mathematics when they jointly construct mathematical ideas with their peers in inclusive classroom environments.
Problem-Based Learning: Problem-Based LearningStudents develop conceptual understanding and ownership of mathematical ideas when they are meaningfully involved in mathematical decision-making.
Mixed, Spaced Practice: Mixed, Spaced PracticeStudents become increasingly proficient at identifying problem types and selecting appropriate strategies as they experience mathematical problems mixed within and spaced across assignments, lessons, chapters, and courses.
NCTM standards & decades of research

2024 edition

2024 CPM research base report

The full 2024 update to CPM’s research base, organized by pillar. Start with the introduction, then read a short executive summary or the full report for each pillar.

Start hereResearch base introductionOverview and context for the 2024 report.PDF
Dr. Tom Sallee
Dr. Tom Sallee

Original report

The original CPM research base report

Dr. Tom Sallee, CPM co-founder, mathematician and research base author, crafted the original CPM research base, synthesizing decades of math education research into the three-pillar framework that still guides CPM’s instructional approach today.

The complete original report, written by Dr. Sallee and still as illuminating as ever. Explore the research behind CPM’s approach in his own words.

1CPM originally used the term “cooperative learning” rather than “collaborative learning.” As research showed the powerful difference between the two for student outcomes, CPM shifted its language. Read more in the Cooperation v. Collaboration research brief (PDF).

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See the research in action

Explore CPM’s research hub, read independent performance reports, or see how CPM supports student and teacher outcomes in districts nationwide.

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1989Founded by teachers
3Research-informed pillars
6–12Curriculum for every grade