Glenda Lappan

Glenda Lappan - Learning to think and Reason in...

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Learning to think and Reason in Mathematical Situations Glenda Lappan Michigan State University August 2007
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In the middle years of schooling, students undergo cognitive changes that give us new opportunities in mathematics classrooms.
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Reasoning • Abstraction • Argument • Controlling variables • Examining consequences Students Develop Mental Capacities For:
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Meeting the needs of each student • Connecting with students’ strengths and interests • Creating a supportive classroom environment • Harnessing students’ need to socialize Teaching Challenges
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Representation Standard from Principles and Standards for School Mathematics Instructional programs from prekindergarten through grade 12 should enable all students to – Create and use representations to organize, record, and communicate mathematical ideas Select, apply, and translate among mathematical representations to solve problems Use representations to model and interpret physical, social, and mathematical phenomena
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What do I “see”? What information can I extract? • How can I use the information? How can I show my thinking and my solution(s)? Reading Representations
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Complete each statement using the table. The ratio of 7th graders who prefer comedies to 8th graders who prefer comedies is ____ to ____. The fraction of total students (7th and 8th) who prefer action movies is ____. The percent of 8th graders who prefer action movies is ____. QuickTimeª and a Photo - JPEG decompressor are needed to see this picture.
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Reading Representations: Geometry Settings
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Angles and Relationships
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of the Grump family who are geometrically similar. Write statements comparing the lengths of corresponding segments in the two Grump drawings. Use each concept at least once. Ratio
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This note was uploaded on 11/11/2011 for the course MATH 110 taught by Professor Staff during the Winter '08 term at BYU.

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Glenda Lappan - Learning to think and Reason in...

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