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Mathematics and Cognitive Growth

Mathematics and Cognitive Growth. Virginia Arvizu-Calvillo. Phases of Mathematical Development Embodied Objects Stage Proceptual /Symbolic Stage Formal/Axiomatic Stage. Embodied Objects. Exploration of Objects Moving to the Symbolic. Proceptual. Process/procedure and concept

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Mathematics and Cognitive Growth

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  1. Mathematics and Cognitive Growth Virginia Arvizu-Calvillo

  2. Phases of Mathematical Development • Embodied Objects Stage • Proceptual /Symbolic Stage • Formal/Axiomatic Stage

  3. Embodied Objects • Exploration of Objects • Moving to the Symbolic

  4. Proceptual • Process/procedure and concept • Cognitive Unit- compressed piece of knowledge • Students who can move farther away from the conceptual (embodied objects) are more successful

  5. Formal/Axiomatic • Abstract Thinking

  6. Tall, D. (2004). Thinking Through Three worlds of Mathematics. Internaltional Group for the Psycology of Mathematics Education, 4, 281-288.

  7. Van Hiele’s Levels Of Geometric Thinking • Inquiry Phase • Direct orientation • Explication • Free Orientation • Integration

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