Mathematics For Elementary Teachers MA201 – Dr. Byrne Instructional Laboratory 0410

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  • Mathematics For Elementary TeachersMA201 Dr. ByrneInstructional Laboratory 0410

  • Today We Will

    Go over course syllabus.

    Preview the kinds of things well be learning:Knowing and teaching elementary mathematics by Liping Ma

    3. Homework Assignment: Paragraph #1

  • Kinds of ThingsWell Be Learning

  • Knowing and teaching elementary mathematics by Liping Ma, 1999

  • Exercise (will not be collected, but save results)

  • Exercise (will not be collected)

  • Exercise (will not be collected)

    But teachers dont just need to KNOW how to do the calculation correctly

  • Exercise (will not be collected)

    But teachers dont just need to KNOW how to do the calculation correctly

    they need to TEACH a student how to do that calculation.

    (so the student really understands how to do it, and wont be confused 15 years later by .)

  • Can you think of a story that models this?

  • Can you think of a story that models this?

  • Some Results of Mas ResearchSubtractionThe concept of borrowing is confusing and misleading.Better to teach the concept of regrouping.

    MultiplicationU.S. teachers tend to have a more procedural than conceptual understanding of the algorithm.

    FractionsU.S. teachers had difficulty coming up with a story to describe . because they lacked a clear conceptual understanding of it.Chinese teachers understood several different representations of the problem.

  • Different Representations

    Measurement model: How many units of can be found in 1?Partitive model: If half of something is 1, what is the whole? Product and factors: If a rectangle has area 1 and one side of the rectangle is feet, how long is the other side?

  • Next time: BSME and WhyThe Elementary Education Curriculum Needs This Course