Using the Frayer model to teach problem-solving in Maths

What is The Frayer Model?

The Frayer Model is a graphical organiser which is used for teaching concepts, and to help students determine, clarify, and analyse word meaning and structure (Starke, 2020). It's a powerful teaching tool as it scaffolds students to develop a comprehensive understanding of a concept and supports the building of mathematical literacy.

It's a four-square model with a selected concept or term placed in the middle, usually inside an oval or a circle. Each of the four sections has a heading, usually definitions, key facts or characteristics, examples, and non-examples. This structure prompts learners to explore and establish relationships between concepts, building deeper knowledge and reinforcing background knowledge. By breaking down a concept into smaller parts, students can more easily remember mathematical terminology, understand their application, and think critically. (Main, 2022)

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Using an adapted Frayer Model for consolidation and problem-solving

When helping students consolidate their conceptual understanding and key Mathematical concepts, it can be useful to use an adapted Frayer model where the four squares are divided into a worded problem, a visual representation, a numerical representation, and a common misconception.

For example:

Patrick has placed both his chopsticks on the table. The ends of the chopsticks meet at an angle of 135°. Gareth places a chopstick that is perpendicular to one of Patrick's chopsticks. All the chopsticks meet at a point creating three angles, including two obtuse angles. Determine the value of all three angles.

Now watch as our presenter Matthew unpacks the problem using the adapted Frayer model.

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Want to try this in your classroom? Here is a blank adapted Frayer model template for you to use. It's also a great opportunity to divide students into pairs or groups, where each pair/group can attempt a problem and then share their models with the class.

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Want to see more of our 7-10 Maths resources? Get in touch.

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References

Main, P. (2022). Frayer Model. [online] www.structural-learning.com. Available at: https://www.structural-learning.com/post/frayer-model.

‌Starke, K. (2020). The Frayer Model: What is It and How to Use It. [online] TeachHUB. Available at: https://www.teachhub.com/teaching-strategies/2020/09/the-frayer-model-what-is-it-and-how-to-use-it/.

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