Manipulatives Across Math Transitions

Brian·

Mathematics

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At a Glance

Grade Levelother

SubjectMathematics

Original Prompt

Design a one-hour professional development program bridging elementary to middle school mathematics through manipulatives, focusing on how integer chips and algebra tiles develop conceptual understanding. Demonstrate how integer chips concretize addition and subtraction of negative numbers, revealing patterns students can generalize into algorithms. Show how algebra tiles transform completing the square from a procedural technique to a visual representation of quadratic relationships, helping st...

This professional development resource focuses on bridging conceptual understanding in mathematics from elementary to middle school using manipulatives like integer chips and algebra tiles. Teachers will learn how to implement the Concrete-Representational-Abstract (CRA) progression to enhance students' understanding of integer operations and polynomial functions. The document emphasizes the importance of hands-on learning to support diverse learners and provides practical examples for teaching various concepts. Participants will also explore the vertical alignment of math manipulatives, develop mini-lessons, and engage in collaborative planning to apply these strategies effectively in their classrooms.