Understanding Geometric Figures Through Drawing and Paper Folding
Webcast: February 6, 2009Streaming Video on Demand
Understanding Geometric Figures Through Drawing and Paper Folding
(Length: 1 hour 5 minutes)
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Segments
Introduction
(Length: 1 minute 45 seconds)
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Webcast
Learning Goals
(Length: 30 seconds)
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About
Students' Development
(Length: 7.5 minutes)
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What
Geometry Are Students Learning?
(Length: 2 minutes)
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Drawing
Line Segments
(Length: 15.5 minutes)
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Constructing
a Right Angle Through Paper Folding
(Length: 6 minutes)
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Constructing
a Rectangle Through Paper Folding
(Length: 2 minutes)
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Constructing
a Square Through Paper Folding
(Length: 4.5 minutes)
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Relating
the Square and the Right Triangle
(Length: 3 minutes)
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Properties
and Types of Triangles
(Length: 8 minutes)
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Making
2-D Shapes With Set Squares
(Length: 5 minutes)
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Measuring
Angles
(Length: 1 minute)
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Constructing
Triangles Using a Compass
(Length: 3 minutes)
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What
Did You Notice? Learn?
(Length: 6.5 minutes)
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What are some ways that students can learn about the properties of 2D shapes? What are some effective strategies for teaching the properties of 2D shapes?
Student's capacity to conceptualize properties and relationships of 2D shapes is developed in stages and is fostered by each student's experiences. According to the Van-Hiele taxonomy of geometric thinking the first stage, Level 0, Visualization, is where students focus on what individual shapes "look like." At Level 1, Analysis, students conceive shapes as being part of a group of similar shapes and begin to notice their properties. At Level 2, Informal Deduction, students have greater capacity to apply "if then" reasoning and can consider simple, logical arguments about properties of 2D shapes. Through students' physical actions of folding, measuring and drawing, their geometric thinking is can be developed, represented, and discussed in relation to formal geometric definitions.
During this webcast, Dr. Akihiko Takahashi with a group of Ontario mathematics educators, a grade 4/5 classroom teacher and grades 4 and 5 students are engaged in learning about the properties of 2D shapes through paper folding and the use of different materials, such as compasses, protractors and set squares. The teaching strategies presented for study by Dr. Takahashi, were developed, implemented and refined through a process of lesson study by classroom teachers.
Featuring:
Dr. Akihiko Takahashi, Director, Asia-Pacific Mathematics and Science Education Collaborative (AP*MSEC)
Associate Professor of Mathematics Education
Ontario Educators:
Near North District School Board
Gord Daniels, Curriculum Coordinator
Ottawa Catholic School Board
Paul Gautreau, Consultant
Michael Kennedy,
Consultant
Renfrew County District School Board
Michelle Belsher,
Curriculum Consultant
Thames Valley District School Board
Janine
Pitman, Learning Supervisor
The Literacy and Numeracy Secretariat
Mary Lou Kestell, Student Achievement Officer
Toronto Catholic District
School Board
Gina Iuliano-Marrello, Numeracy Coordinator
Wellington
Catholic District School Board
Jeff Mawhinney, Grade 4/5 Teacher
Cathy Chaput, Elementary Program Coordinator
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Hosted by the Literacy and Numeracy Secretariat in partnership with Curriculum Services Canada