06/11/2026
The “math wars” have lasted 40 years. Fluency vs. conceptual understanding. Direct instruction vs. discovery learning. Procedures vs. problem-solving.
Every one of those debates is about how to teach math. None of them answer the more fundamental question: what do students actually need to learn?
This gap is exactly why we created the Foundations of Numeracy.
After synthesizing 200+ studies with leading math education experts, we identified four cornerstones every student needs before middle school:
1. Content: integers, fractions, shapes, data
2. Competencies: conceptual understanding, fact fluency, procedural fluency, application
3. Ways of Thinking: symbolic understanding, pattern recognition, explaining, sense-making
4. Motivators: identity, persistence, curiosity, relevance
These are not competing priorities. The research is clear: fluency supports understanding, understanding strengthens fluency, and none of it sticks without reasoning and motivation behind it.
This framework gives educators, district leaders, curriculum developers, policymakers, and families a shared map of where students are headed. The Science of Reading gave literacy a common language that cut through decades of debate. Elementary math deserves the same.
The Foundations of Numeracy is free, open-licensed under CC BY http://4.0, and built to be used, adapted, and built upon.
Download the full framework here: https://powermylearning.org/foundations-of-numeracy/