structured derivations in high school mathematics teaching experiment mia peltom ki 26 5 2008
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STRUCTURED DERIVATIONS IN HIGH-SCHOOL MATHEMATICS - Teaching experiment Mia Peltomäki 26.5.2008

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STRUCTURED DERIVATIONS IN HIGH-SCHOOL MATHEMATICS - Teaching experiment Mia Peltomäki 26.5.2008. Teaching experiment at a Finnish high school (upper secondary school) years 2001-2005 starting year test group control group 2001 25 24 2002 28 23 Classification:

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Presentation Transcript
slide2

Teaching experiment at a Finnish high school (upper secondary school) years 2001-2005

  • starting year test group control group
  • 2001 25 24
  • 2002 28 23
  • Classification:
  • basic education certificate
  • grade in mathematics
  • starting level exam
  • test group students interested in computer science
slide3
Background
  • Lessons at the same time
  • Same text book/exercise book
  • Same exams
  • Different teacher
  • Test group: structured derivation’s method
  • Control group: traditional method
  • Matriculation Examination Board accepts semiformal notation
slide4

Teaching

  • the basic notation of propositional logic (5h)
  • structured derivation method was used on the whiteboard and with a computer
  • when using computer subderivations were hidden and replaced with a link giving more detailed view of the partial solution
  • computer was used when checking homework
  • some students changed the groups
slide5

Teachers observations:

  • the method makes it easier to follow the teaching process
  • time was diminished when correcting exams
  • easy to notice where students loose the idea
  • forces the student to be explicit about what strategies and rules they use
  • students in the testgroup argued their answers more precisely than those in the control group
slide6
More observations
  • forces the student to be explicit about what strategies and rules are used
  • suitable for talented students
  • the notation should be somewhat lighter at the high-school level
slide7

Students proposals

    • more logic
    • many good examples
    • more examples from difficult parts
    • more calculating during lessons
    • good text book (part of the students)
    • short motivations
slide8

Conclusions

    • difficult for less talented students to produce large wholenesses so that logic woud work correctly
    • lightening of the method
slide9

Matriculation examination in spring 2004

70 % of the test group got one of the two highest degrees (laudatur or eximia) while in the whole country this was 21%.

slide10

The grades results

BEC Basic education certficate

C1-C10 Compulsory courses

MEP Matriculation exmination points

slide11

BEC – Basic education certificate

C1 - Functions and equations I

C2 - Functions and equations II

C3 - Geometry

C4 - Trigonometry and vectors

C5 - Analytic geometry

C6 - Calculus I

C7 - Calculus II

C8 - Integrals

C9 - Statistics and stochastics

C10 - Sequences and series

MEP – Matriculation examination points

slide12
Future?
  • Method seems to be suitable at least to average and talented students
  • Continuing the use of the method with the suitable level for each group
  • Follow same students in the programming course
  • Follow same students even today in the mathematics and programming courses at the university
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