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MFPC121 Mathematics For Early Childhood Education And Development

Question

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Task

Question 1 1.1 Read the following paragraph and answer the questions below: The van Hiele theory describes how young people learn geometry. It postulates five levels of geometric thinking which are labelled visualization, analysis, abstraction, formal deduction and rigor. Each level uses its own language and symbols. Students or pupils pass through the levels “step by step.

Use the following resource to support your understanding of van Hiele theory of Geometric thinking

  1. Webb, P., & Feza, N. (2005). Assessment standards, Van Hiele levels, and grade seven learners' understandings of geometry. Pythagoras, 2005(62), 36-47.
  2. De Villiers, M. (2010, June). Some reflections on the van Hiele theory. In Invited plenary from 4th Congress of teachers of mathematics.

1.1.1 Explain the difference between the four learners whom their geometric thought is situated within the first four level of van Hiele level of thinking. Explain their reasoning capability by means of defining a parallelogram and use diagrams to illustrate. (200  words)

1.1.2 Give your reasoning on what can happen if the teacher is thinking at a different van Hiele level than the students and what can happen if a teacher tries to teach at a level of thought that is above or below the student’s level of thinking? (50 words)

1.1.3 What are the implications of the van Hiele theory for instructional practices? (50 words)

MFPC121 Mathematics For Early Childhood Education And Development

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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.

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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.

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