Labeling the Number Line
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November 02nd, 2016Why are fractions on the number line so hard for students to understand, and what can teachers do to help students reason their way through them? In this clip from Beyond Pizzas & Pies, Mr. Seay demonstrates for students how to label the number line after the unit interval has been partitioned into thirds. How does Mr. Seay’s…
Strategies for Adding 5/9 and 8/9
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October 12th, 2016Once students can make sense of fractions, what are the strategies you use to make sense of their computation? In this clip from Beyond Invert & Multiply, Ms. Kretschmar guides a student-to-student discussion. Students often have difficulty articulating the reasoning behind their approach to solving problems.…
Numbers Between Zero and One
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October 07th, 2016Students have many misconceptions about fractions. What strategies can teachers use to encourage students to share their ideas? In this clip from Beyond Pizzas & Pies, Mr. Seay asks his third graders to share what they think about the numbers between zero and one. What do students seem to know about these numbers? …
Number Talk: Dot Cards & Ten Frames
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September 13th, 2016Numerical reasoning starts from the earliest stages of child development. Stacking blocks, counting objects, and filling containers are examples of beginning ideas of reasoning with numbers. As children transition into kindergarten, it is important to provide opportunities to build a foundation that mathematics is about making sense with numbers and number relationships from the very…