One should note that the van Hiele model is based on instruction, whereas Piaget’s model is not. Sketchpad’s Menu Structure Document Tools Objects Object Relationships: parents and children Path Objects Points Segments Rays Lines The hierarchy for learning geometry described by the van Hieles parallels Piaget’s stages of cognitive development. GEAR UP/STAR - Summer Math InstituteĦ Introduction: Geometer's Sketchpad (cont.) Only after these levels have been attained can they create deductive proofs. Later they see relationships between the shapes and make simple deductions. The research of Pierre van Hiele and his wife, Dina van Hiele-Geldof, clearly shows that students first learn to recognize whole shapes then to analyze the properties of a shape. The development of geometric ideas progresses through a hierarchy of levels. During the use of GSP Students experience the joy of discovery, the confidence that comes with success, the framework for a pattern of independent learning. GSP allows students to create and manipulate figures that enables them to - Visualize and produce many examples - examine properties of figures - look for patterns, and - make conjectures. GEAR UP/STAR - Summer Math Instituteĥ Introduction: Geometer's Sketchpad (cont.) Can be used to construct interactive mathematical models ranging from basic investigations about shape and number to advanced, animated illustrations of complex systems. Help researchers and other mathematics enthusiasts pose “what if?” thought experiments, discover new results, and create high-quality mathematical illustrations for use in activities and assignments, reports and publications. GEAR UP/STAR - Summer Math InstituteĤ Introduction: Geometer's Sketchpad (cont.) Only through the use of a common language, can we develop the network of structures and relations which help produce good definitions. provides teachers an environment with which to present mathematical concepts, model classroom questions, and encourage student conjecturing. helps students explore topics from geometry and mathematical ideas in algebra, trigonometry, calculus, and other areas.
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Software system for creating, exploring, and analyzing a wide range of mathematics. Outline Introduction - Terms and Definitions - Geometer's Sketchpad (GSP) - Basic Skills in GSP Activities on Angles Formed by Parallel Lines and Transversal Types of Triangles Quadrilaterals Transformation Animation GEAR UP/STAR - Summer Math Institute Fatma Abudiab GEAR UP/STAR - Summer Math Institute Pierre van Hiele and his wife, Dina van Hiele-Geldof, focused on getting students to the appropriate level to be successful in high school Geometry. The model clarifies many of the shortcomings in traditional instruction and offers ways to improve it.
The van Hiele model of geometric thought outlines the hierarchy of levels through which students progress as they develop of geometric ideas.
Presentation on theme: "The Geometer’s Sketchpad"- Presentation transcript:
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