constructivism in the mathematics classroom
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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. - PowerPoint PPT PresentationTRANSCRIPT
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
1. Sensorimotor - Birth-2 years2. Preoperational - 2-7 years3. Concrete Operations - 7-11 years4. Formal Operations - 11-16 years
Sensorimotor StageBirth – 2 years oldDevelops a set of concepts about
reality and how it worksAt the beginning of this stage,
children do not have object permanence
Preoperational Stage Ages 2-7Unable to think abstractly- needs
concrete physical situations
Concrete OperationsAges 7-11Build logical structures that explain
physical experiencesAbstract problem solving is possible
at this stage
Formal OperationsBeginning at ages 11-15Cognitive structure are like those of
an adult and include conceptual reasoning
Organization of Schema
1. Assimilation
2. Accommodation
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
Lev Vygotsky - ZPD
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
Multiple IntelligencesHoward GardnerSuggests there are at least eight
ways that people have of perceiving and understanding the world
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.
HOMEWORK: MI Test
http://www.mitest.com