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Common Mistakes in Bar Models

Bar Modeling is a very powerful heuristic in Singapore math. Representing unknown quantities and the relationships between them using rectangular “bars” gives an intuitive and visual representation of the problem. More importantly, when used correctly, representing problem using bar models makes students approach the solution in a systematic and algebraic manner. This empowers even young …

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How Do You Teach Multiplication by Negative Numbers

How do you teach multiplication by negative numbers?

Multiplication by negative numbers is usually introduced in middle school, and may be tricky to teach. In particular, the bar models that were so helpful when we solve multiplication and division problems for whole numbers and fractions in elementary grades are suddenly not very useful anymore. In our teaching, we do not use bar models …

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