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Targeting Instruction with Formative Assessment Probes

Emily R. Fagan, Cheryl Rose Tobey, and Amy R. Brodesky

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

Kimberly Morrow-Leong

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

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Interpreting Standards as Sense-Making Opportunities

Jeffrey M. Choppin, Cynthia H. Callard, and Jennifer S. Kruger

Student-generated algorithms, despite being inelegant and cumbersome, can nevertheless highlight a Common Core standard on rational number subtraction to show flexibility and understanding.

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Driving Students to Performance Assessments: Learning What Students Can Do

Elizabeth T. Walker and Jeffrey S. Molisani

Multiple entry points on the road to assessing students can tell teachers if students can do math and therefore apply math to real-world problems.

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Sharing Cookies: A Case Study

Jenny Salls

Gain insight into students' understanding of the concept of fraction as operator as well as their reliance on rote procedures to convert fractions to decimals.

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Shifting understanding of mixed numbers

Jennifer Pfotenhauer, Rick Kleine, Yasmin Sitabkhan, and Darrell Earnest

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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Assessments: Numbers, Context, Graphics, and Assumptions

Barbara Zorin, Patricia D. Hunsader, and Denisse R. Thompson

Learn how to modify classroom evaluation items to avoid potential difficulties that limit a teacher's insight into students' mathematical understanding.

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Multidimensional Assessment of CCSSM

Sarah K. Bleiler and Denisse R. Thompson

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.