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Constructivism in the Mathematics Classroom

Constructivism in the Mathematics Classroom. EDN 322. Constructing Knowledge. Knowledge is not passively received Students create new mathematical knowledge by reflecting on their physical and mental actions Learning reflects a social process. Piaget - 4 Stages of Development.

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Constructivism in the Mathematics Classroom

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  1. Constructivism in the Mathematics Classroom EDN 322

  2. Constructing Knowledge Knowledge is not passively received Students create new mathematical knowledge by reflecting on their physical and mental actions Learning reflects a social process

  3. Piaget - 4 Stages of Development 1. Sensorimotor - Birth-2 years 2. Preoperational - 2-7 years 3. Concrete Operations - 7-11 years 4. Formal Operations - 11-16 years

  4. Sensorimotor Stage • Birth – 2 years old • Develops a set of concepts about reality and how it works • At the beginning of this stage, children do not have object permanence

  5. Preoperational Stage • Ages 2-7 • Unable to think abstractly- needs concrete physical situations

  6. Concrete Operations • Ages 7-11 • Build logical structures that explain physical experiences • Abstract problem solving is possible at this stage

  7. Formal Operations • Beginning at ages 11-15 • Cognitive structure are like those of an adult and include conceptual reasoning

  8. Organization of Schema Assimilation Accommodation

  9. Vygotsky - ZPD The gap between a child’s apparent developmental level (independent problem solving) and a somewhat higher level of potential development, as determined with the guidance of a more experienced person

  10. Lev Vygotsky - ZPD

  11. Learning Styles – A way to individualize instruction • Individuals perceive and process information in very different ways • Teachers should present information in different ways to meet different learning styles

  12. Multiple Intelligences • Howard Gardner • Suggests there are at least eight ways that people have of perceiving and understanding the world

  13. Multiple Intelligences!

  14. According to Gardner, • All human beings possess all eight intelligences in varying amounts. • Each person has a different intellectual composition. • We can improve education by addressing the multiple intelligences of our students. • These intelligences are located in different areas of the brain and can either work independently or together.

  15. HOMEWORK: MI Test http://www.mitest.com

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