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Teaching Developmentally (A summary)

Children construct their own knowledge and understanding; we cannot transmit ideas to passive learners. Knowledge and understanding are unique for each learner. Reflective thinking is the single most important ingredient for effective learning. Teaching Developmentally (A summary).

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Teaching Developmentally (A summary)

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  1. Children construct their own knowledge and understanding; we cannot transmit ideas to passive learners. Knowledge and understanding are unique for each learner. Reflective thinking is the single most important ingredient for effective learning. Teaching Developmentally(A summary)

  2. The sociocultural environment of a mathematical community of learners interacts with and enhances students’ development of mathematical ideas. Models for mathematical ideas help students explore and talk about mathematical ideas. Effective teaching is a student-centered activity. Teaching Developmentally(A summary)

  3. Benefits of a Relational Understanding • Effective Learning of New Concepts and Procedures • Less to Remember • Increased Retention and Recall • Enhanced Problem-solving Abilities • Improved Attitudes and Beliefs

  4. Expanding the Idea of a Model Figure 3.11 Five different representations of mathematical ideas. Transitions between and within each can help develop new concepts Lesh, Post, and Behr (1987).

  5. Create a mathematical environment. Pose worthwhile mathematical tasks. Use cooperative learning groups. Use models and calculators as thinking tools. Require justification of student responses. Encourage discourse and writing. Listen actively. Strategies for Effective Teaching

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