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The Sandwich Strategy

No matter how you slice it, analyzing student work together improves math instruction.

By Lisa Nguyen Batista
June 2016
Vol. 37 No. 3
Teachers are regularly asked to use data to inform their instruction. In the past, teachers examined student work in isolation (Little, Gearhart, Curry, & Kafka, 2003). Now, however, teachers increasingly have dedicated meeting times. So how can teachers collaboratively examine student work and use their findings to improve instruction? A team of teachers at Hilltop Elementary School in the Pacific Northwest demonstrates the power of collaborative analysis of student work as teachers and school leaders use student work to guide their instructional decisions and support their professional learning about teaching mathematics. Hilltop Elementary is an urban school that serves an ethnically and linguistically diverse population, as well as high poverty and mobility rates. Over 50% of the student population speaks a language other than English

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Grade 3 Common Core State Standards For Fractions

3.NF.1: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts;

understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.2: Understand a fraction as a number on the number line; represent fractions on a number line diagram.

3.NF.3: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Source: www.corestandards.org/Math/Content/3/NF.

References

Carpenter, T.P., Fennema, E., & Franke, M.L. (1996). Cognitively guided instruction: A knowledge base for reform in primary mathematics instruction. The Elementary School Journal, 97(1), 3-20.

Empson, S.B. & Levi, L. (2011). Extending children’s mathematics: Fractions and decimals: Innovations in cognitively guided instruction. Portsmouth, NH: Heinemann.

Lewis, R.M., Gibbons, L.K., Kazemi, E., & Lind, T. (2015). Unwrapping students’ ideas about fractions. Teaching Children Mathematics, 22(3), 158-168.

Little, J.W., Gearhart, M., Curry, M., & Kafka, J. (2003). Looking at student work for teacher learning, teacher community, and school reform. Phi Delta Kappan, 85(3), 184-192.

National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Reston, VA: Author.


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