Mathematics Education in Future

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Mathematics Education in Future

• HK Association
• for Sci Math Education

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Future
Mathematics Education
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????,????

• Let us think about
• What are the difficulties?
• What are the problems?
• What are the limitations?
• What do you worry?
• What do you expect?
• What do you want to change?

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Situation today

• New 3-3-4
• New core-M1-M2
• New university year one
• New in the negative connotation
• Problems, difficulties, inconsistencies
• What is the source of the problems?

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What should we teach?
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Example Mark distributions
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Good in any one subject
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Good in all subjects
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Everyone is not the same

• There are differences in
• Interest
• Ability
• Commitment
• Future need

• There should also be differences in teaching and
  learning in terms of
• Expected outcome
• Process or method
• Content or depth

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Volume of Math Learning

• Time/ effort on Math
• S3-4
• S5
• S6
• done

• Basic knowledge of humanity
• Practical skills for general needs
• Preparation for university education
• Leading to scientific or technological advancement

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Reality Multi-level

• Cambridge Pre-U
• Math (AS, AL), Further Math (AS, AL)
• Edexcel
• IGCSE and AS level Math, Further Math
• AL Math, Futher Pure, Mechanics, Stat, Decision
• IB
• Math SL, Math HL, Further Math HL
• SAT II, AP Calculus AB or BC

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Why learn mathematics?

• For those who will be engineers or scientists
• The answer is trivial
• For those who hate mathematics early on
• Do we need it for daily life?
• Do we need it for logical thinking?
• Do we need it for communication?
• Why Math exists in all human cultures for all
  generations?

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Three levels of Math Learning

• Basic knowledge of humanity
• Practical skills for general needs
• Preparation for future (university) education
• Leading to scientific or technological
  advancement
• Therefore, it is reasonable to have 3 levels

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What makes Math interesting?

• Real Life Application
• To the Math zealous,
• To the Math haters,
• Sophisticated Applications
• Challenges
• Imaginations (inevitably abstract)
• Understanding humanity
• Unexplored area in Hong Kong

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Challenges for Future

• A core syllabus for everybody
• Illustrate the nature of Math without too much
  calculation
• An intermediate syllabus for most people
• Sufficient skills with reasoning and suitable
  choice of applications
• An advanced syllabus for scientific needs
• Strong deduction and rigor with some abstraction

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Dont believe in me

• Thank you