A paradigm is an example that serves as a pattern or model.
In math, a paradigm is a way of thinking or a model that shows us how something works. It’s like a clear example or blueprint we can follow to understand or solve similar problems.
When we look at a paradigm, we’re looking at a standard method or approach that helps us see the big picture. For example, the idea of using a number line to understand positive and negative numbers is a paradigm because it’s a model that helps us understand opposites and relationships.
Another example is the step-by-step process we follow to solve equations, which makes the method a paradigm we can apply again and again.
Paradigms are helpful because they give us a reliable structure for learning and problem-solving. As we study more advanced topics, we build on familiar paradigms and use them to understand new ideas.
When Do Students Learn About Paradigms?
Students begin using paradigms without even realizing it; through patterns, strategies, and repeated methods they see in early math learning.
Grades 3–5 – Using Math Paradigms
Students start to recognize patterns and problem-solving strategies as reusable models or templates for solving similar types of problems.
Grades 6+ – Recognizing and Applying Paradigms
Students begin to understand that paradigms are not just helpful models, but also powerful ways to analyze and approach complex math concepts.
