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## Unit Fractions as Superheroes for Instruction

The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing this understanding are provided.

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## Targeting Instruction with Formative Assessment Probes

Start with a strategic process to gather and interpret evidence of students' mathematical understandings and misconceptions; then aim your teaching to address identified needs.

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## Evidence-Centered Assessment

Comparing two fractions gives a context for exploring students' flexibility with and understanding of mathematical ideas.

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## Shifting understanding of mixed numbers

Students had been learning about integers and fractions on the number line. For a lesson on mixed numbers, they solved an assessment problem at the beginning of the lesson. After the lesson, the authors interviewed two students individually and asked each girl to solve the same problem again.

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## How to Leverage the Potential of Mathematical Errors

Incorporating a focus on students' mistakes into your instruction can advance their understanding.

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## Multidimensional Assessment of CCSSM

Measuring student understanding of math concepts in this manner offers insight into the robustness of their knowledge, particularly of the Common Core State Standards for Mathematics.