# STRUCTURED DERIVATIONS IN HIGH-SCHOOL MATHEMATICS - Teaching experiment Mia Peltomäki 26.5.2008 - PowerPoint PPT Presentation

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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 yeartest group control group 2001 25 24 2002 2823 Classification:

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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 yeartest group control group

• 2001 25 24

• 2002 2823

• Classification:

• basic education certificate

• starting level exam

• test group students interested in computer science

Background

• Lessons at the same time

• Same text book/exercise book

• Same exams

• Different teacher

• Test group: structured derivation’s method

• Matriculation Examination Board accepts semiformal notation

• 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

• 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

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

• 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

• Conclusions

• difficult for less talented students to produce large wholenesses so that logic woud work correctly

• lightening of the method

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%.

BEC Basic education certficate

C1-C10 Compulsory courses

MEP Matriculation exmination points

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

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