Tell me mathematics and I will forget Show me mathematics and I will remember Involve meand I will u - PowerPoint PPT Presentation

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Tell me mathematics and I will forget Show me mathematics and I will remember Involve meand I will u

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If I understand mathematics, I will be less likely to have maths anxiety. And if I become a teacher of ... I am not sure when maths began to frighten me ... – PowerPoint PPT presentation

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Title: Tell me mathematics and I will forget Show me mathematics and I will remember Involve meand I will u


1
Tell me mathematics and I will forgetShow me
mathematics and I will rememberInvolve meand I
will understand mathematics.If I understand
mathematics, I will be less likely to have maths
anxiety.And if I become a teacher of
mathematics, I can thus begin a cycle that will
produce less maths-anxious students for
generations to come.
  • W. V. Williams, 1988

2
Maths Anxiety in Third Year Primary Student
Teachers
  • Gillian Frankcom
  • The University of Auckland

3
Sample questions
  • 0.1 x 840 is the same as
  • A 840 1
  • B 1 x 840
  • C 1 x 8400
  • D 840 10
  • E 0.10 x 84

4
  • Which letter in the number line above names a
    fraction where the numerator is nearly half the
    denominator?

5
  • Ms. Harris was working with her class on
    divisibility rules. She told her class that a
    number is divisible by 4 if and only if the last
    two digits of the number are divisible by 4. One
    of her students asked her why the rule for 4
    worked. She asked the other students if they
    could come up with a reason, and several possible
    reasons were proposed. Which of the following
    statements comes closest to explaining the reason
    for the divisibility rule for 4? (Mark ONE
    answer.)
  • Four is an even number, and odd numbers are not
    divisible by even numbers.
  • The number 100 is divisible by 4 (and also 1000,
    10,000, etc.).
  • Every other even number is divisible by 4, for
    example, 24 and 28 but not 26.
  • d) It only works when the sum of the last two
    digits is an even number.

6
  • Mr Lewis asked his students to divide 6/8 by
    1/2. Charlie said I have an easy method Mr Lewis.
    I just divide numerators and denominators. I
    get 6/4 which is correct. Mr Lewis was not
    surprised by this as he had seen it before. What
    did he know?
  • a) He knew that Charlies method was wrong, even
    though he happened to get the right answer for
    this problem.
  • b) He knew that Charlies answer was actually
    wrong
  • He knew that Charlies method was right, but
    that for many numbers this would produce a messy
    answer.
  • d) He knew that Charlies method only works for
    some fractions.

7
The words of Preservice teachers
  • I have a fear of maths and it does worry me a bit
    as a future teacher
  • I am not sure when maths began to frighten me
  • I have always been scared of doing maths because
    I always think I will fail it

8
More words
  • I almost failed school cert maths but did
    remarkably well in sixth form, even though I
    hated it. In seventh form I did calculus and
    managed to scrape a pass. It was my most hated
    class and I never went.
  • Mathematics was taught and viewed as a necessary
    evil, and as a result many people viewed it
    negatively

9
Graph of test results against maths anxiety
levels
10
Mastery Experiences?Success does not seem to
equal lower maths anxiety
11
Ideal Student?
  • Low maths anxiety
  • High maths self-efficacy
  • Strong personal content knowledge
  • Mathematics past year 11
  • Positive experiences at school
  • Succeeding (As) in current degree course
  • Actively enjoys doing Mathematics

12
Implications
  • Levels of maths anxiety could represent a
    significant barrier to improving mathematics
    teaching and learning in the primary school.
  • as teachers teach as taught ..

13
Now to know mathematics is one thing, and to be
able to teach it communicate it to those at a
lower conceptual level is quite another and I
believe that it is the latter which is most
lacking at the moment. As a result, many people
acquire at school a lifelong dislike, even fear,
of mathematics. Skemp (1971)
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