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Understanding Fraction Representations: Engaging Students in Grades K-4

This breakout session focuses on teaching fraction representations, specifically learning about one half, to students in Kindergarten through Grade 4. Participants will explore various models, recognize common misconceptions, and analyze student work to enhance understanding. The session includes strategies for addressing misconceptions and ensuring that students grasp fractional concepts across the mathematics curriculum. By investigating representations and linking them to real-life scenarios, educators will be equipped to enrich students' comprehension of fractions and promote deeper mathematical connections.

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Understanding Fraction Representations: Engaging Students in Grades K-4

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Presentation Transcript

  1. Math CAMPPP 2012 Breakout Session 2 Kindergarten to Grade 4 1

  2. Learning Goals Participants will: • Gain an understanding of the various representations for one half • Recognize and analyze various representations of one half and some of the common misconceptions • Gain an understanding of the complexity of working with set models in fractions • Gain an awareness of the existence of fractional concepts in other areas of the mathematics curriculum

  3. Minds On! Gap Closing Diagnostic • Which representations of one half would students clearly understand? • Which representations of one half would likely be confusing for students? • What misunderstandings may arise?

  4. Action! Solve this problem in several ways 4

  5. Looking at Student Work • What mathematical understanding do we see in the work? • Do we see any of the misconceptions Marian mentioned in the work? • What are some of the misconceptions that were not part of the plenary? • What strategies could be used to help students better understand the concept of fractions?

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  14. More or less than one half?Prove it! • Joe struck out 7 out of 17 batters • 8 of the 11 apples were rotten • Bill ate 5 out of 9 cookies • 8 of the 15 seeds that were planted sprouted Adapted from Marilyn Burns

  15. To the Curriculum! • Pick a grade K – 4 • Find fractional concepts and understandings in a place/strand where it was previously not anticipated • How do different models link to the curriculum?

  16. Consolidation – Your Choice: Record: • How can I use this knowledge to enrich students’ understanding and help them make connections? Reflect on this quote: • It doesn’t matter whether the glass is half full or half empty. There is room for more of the liquid treasure. Author unknown

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