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This session aims to deepen participants' understanding of fractions by exploring collaborative problem-solving techniques and purposeful assessment. Participants will work with a number line and various fraction representations, enhancing their skills in guiding students through collective problem-solving. Key activities include ‘Walk the Line’ for visualizing fractions, and group discussions to identify observational assessment strategies. By the end of the session, educators will be equipped with innovative tools to integrate formative assessment into their teaching practices effectively.
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Math CAMPPP 2012 The Hunt Continues K-4 Breakout Four 1
Learning Goals: Participants will: • explore multiple-group problems and the use of a number line to represent fractions • identify ways to build more purposeful assessment for learning opportunities into instruction • increase understanding of the use of learning goals
Minds On: Walk the Line • You will each receive a card with a fraction represented as a picture, a number, or words. • Arrange yourself in order along the number line.
Minds On • What did you observe while you were collectively solving this problem? • How would you “morph” this to do it in your classroom? • How does using various models and allowing students to negotiate their position on the number line facilitate their understanding of both number lines and the size of fractions?
Action • In a group of four, identify who will be A, B, C, and D
Action • In a group of four, identify who will be A, B, C, and D • A and B will be doing some problem solving • C will be writing down observations of what the pair are doing • D will be scribing as much as possible of what A and B are saying, and asking questions to clarify
The Problem • How would you share 3 brownies between 4 children?
From Growing Success • “Teachers will obtain assessment information through a variety of means, which may include formal and information observations, discussions, learning conversations, questioning, conferences…”
Action: Pair, Square • Partner A and C will join with partner B and D from another group. Partner A will bring the chart paper from the group. • Each person will record their own notes from the following group discussion.
Action: Pair, Square Discuss the following: • What information could you assess through observation? • What questions could you ask of students to assess understanding (conversations)? • What could you learn about the “students” from the student work?
Consolidation • Group discussion
Reflection: For those who are willing to make an effort, great miracles and wonderful treasures are in store. Isaac Bashevis Singer