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Why do we teach what we teach in schools?. Lee Peng Yee 25-11-2008 Singapore. What is the area of a circle?. A = π r² A = ( π /4)d² d = diameter A = ½ cr c = circumference Why do we teach the poorest formula among the three?.

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why do we teach what we teach in schools

Why do we teach what we teach in schools?

Lee Peng Yee

25-11-2008 Singapore

what is the area of a circle
What is the area of a circle?
  • A = πr²
  • A = (π/4)d² d = diameter
  • A = ½ cr c = circumference

Why do we teach the poorest formula among the three?

10 story lines
10 story lines
  • Spherical and other geometries spelled the fall of Euclidean geometry.
  • Cartesian coordinates served as a bridge for the migration to take place from geometry to algebra.
  • David Hilbert saved and killed Euclidean geometry.
10 story lines cont d
10 story lines (cont’d)
  • Algebra came from the Arab world and in time dominated school mathematics.
  • In the years 1600 to 2000 geometry turned algebraic and algebra went structural and numerical.
  • Chinese learn mathematics differently and they learn how before they learn why.
10 story lines cont d1
10 story lines (cont’d)
  • The fourth milestone in mathematics education after Euclidean geometry, calculus, pure mathematics is computation.
  • The marriage of geometry and calculus gave birth to differential geometry.
10 story lines cont d2
10 story lines (cont’d)
  • Mathematical models are no longer restricted to physical sciences.
  • Mathematical tools go from exact to approximate and further to stochastic.
why we teach what we teach
Why we teach what we teach
  • Rich in content and rich in examination questions
  • For computation and for rigour
  • For assessment though not assessment alone
  • For knowledge and for the use of knowledge
why we teach cont d
Why we teach… (cont’d)
  • What we can relate to
  • Statistics is a misfit
  • Certain concepts must be taught early
  • For workplace
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