March 2025 - Representing

When we talk about representing in math, we mean using different tools and methods to understand and communicate mathematical concepts. Here are some ways students represent math:

• Concrete Models: Concrete models include objects like blocks or counters. They can be used in many ways. For example, when learning about multiplication, students might create groups of objects to represent repeated addition.
• Pictures and Diagrams: Students can draw pictures to visualize math problems or to record what they did with concrete models. 
• Tables: Students can track data and/or organize information in tables. A table of values can show how a pattern grows or shrinks.
• Graphs: Graphs help students see patterns and relationships. A bar graph, for example, can show how different quantities compare.
• Words and Symbols: Math can be expressed using words (like “add,” “subtract,” or “multiply”) or symbols (like +, -, ×, ÷). These symbols help us write mathematical expressions and equations.

Representing helps students understand math better. When they can visualize a problem or concept in different ways, it becomes more clear. 

For example, imagine you skip count by 2s, starting at 0. You represent this using blocks and a number line and realize that you always land on even numbers (like 2, 4, 6, 8, etc.). The visual and concrete representations help students “see” the math. 

You can support representing at home by asking your child to show their thinking in different ways. When they’re working on a math problem, see if they can build a model, draw a picture, or write a mathematical expression to show their thinking. You don’t need special tools. Try representing math situations with household objects or toys.

TRY IT!