Foundations
How students think, learn, reason, represent, and develop understanding
9 insights
Taking Students Ideas Seriously
This DMT Insight describes how taking students' initial ideas seriously, building on their intuitive knowledge, and engaging in...
How Math Models Transform Learning
This DMT Insight shows how a few models used again and again, such as the bar model, number line, and area model, make the...
Prioritizing Conceptual Learning
This DMT Insight shows why building conceptual understanding before the procedure gives students something to reason from, so a...
Focusing on Mathematical Structure
This DMT Insight shows how a small set of structural actions, naming the unit and composing, decomposing, iterating, and...
Harnessing Misconceptions
This DMT Insight shows why a misconception is a good idea when it no longer applies, and how to reorganize the reasoning behind...
Early Predictors of Math Success
This DMT Insight explains how six areas of early mathematics (number sense, number facts, contextual problems, relational...
The Learning Trifecta
This DMT Insight explains how productive struggle, restraint with hints, and mixed practice leave more mathematical decisions to...
DMTI Aligns with Hattie's High-Impact Strategies
This DMT Insight shows where DMTI's independently developed framework connects with John Hattie's Visible Learning research, and...
Math Fact Fluency
This DMT Insight explains math fact fluency as accurate, increasingly efficient recall or derivation of facts from known...