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