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Enriching the Secondary Curriculum Using mathematics lessons creatively

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The problem poser... M. B. T. tries to find five numbers with the given mean, median and range. ... The problem poser... Doing and undoing processes. M. B. T ... – PowerPoint PPT presentation

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Title: Enriching the Secondary Curriculum Using mathematics lessons creatively


1
Enriching the Secondary CurriculumUsing
mathematics lessons creatively
  • 23rd October 2008

2
Doing
  • Multiply any three numbers (you can use them more
    than once).

3
The aims for the meetings are
  • To offer the opportunity to develop the
    mathematics curriculum
  • To strengthen skills in the planning and teaching
    of mathematics
  • To share good practice in delivering exciting,
    motivating and effective lessons

4
Objectives
  • To share and develop good practice
  • To consider creative ways of problem setting and
    solving
  • To develop resources for a variety of effective
    lessons

5
Agenda
  • 115 Coffee chat
  • 130 Feedback from last time
  • 200 Creating problems doing and undoing
  • 300 Tea
  • 315 Developing ideas
  • 415 Next steps
  • 430 Close

6
2. Interpreting multiple representations
  • Learners match cards showing different
    representations of the same mathematical idea.
  • They draw links between different representations
    and develop new mental images for concepts.
  • Make your own multiple representations (later)

7
3. Evaluating mathematical statements
  • Learners decide whether given statements are
    always, sometimes or never true.
  • They are encouraged to develop
  • rigorous mathematical arguments and
    justifications
  • examples and counterexamples to defend their
    reasoning.

8
From last time
  • Interpreting multiple representations
  • Evaluating mathematical statements.

9
4. Creating and solving problems
  • Learners devise their own mathematical problems
    for other learners to solve.
  • Learners are creative and own the problems.
  • While others attempt to solve them, learners take
    on the role of teacher and explainer.
  • The doing and undoing processes of
    mathematics are exemplified.

10
Doing and undoing processes
Kirsty created an equation, starting with x 4.
She then gave it to another learner to solve.
11
a4
  • Write some simple and complex statements that are
    true if a4
  • Which ones would students find easy/difficult?
  • SMART file

12
Doing and undoing processes
13
Doing and undoing processes
14
Developing an exam question
15
Developing an exam question
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