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DMT Insights
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DMT Insight 29 Understanding Line Plots
This DMT Insight examines how students interpret line plots by distinguishing data values, frequencies, and total observations, and how measurement and questioning help them describe distributions.
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Geometry / Measurement / Data (3-5)
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DMT Insight 30 Progressive Formalization
This DMT Insight examines how students formalize mathematical relationships, using 14 × 6 to connect units, partial products, and the distributive property to the standard algorithm as understanding and fluency develop together.
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DMT Insights
DMT Insight 31 How Mathematical Understanding Develops and Lasts
This DMT Insight examines how prior knowledge, working memory, retrieval, spaced, and interleaved practice shape how students develop, retain, and apply mathematical understanding and procedural fluency together.
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DMT Insights
DMT Insight 32 When Mathematical Ideas No Longer Work
This DMT Insight shows how teachers can distinguish mistakes from misconceptions and teach the mathematical relationship needed when a familiar idea no longer applies.
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DMT Insights
DMT Insight 49 - Bar Models and Word Problems
Why Students Struggle with Word Problems and How Bar Models Help. This DMT Insight explains why students who can compute still freeze on word problems and how bar models give them a way to think.
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