S M A didactic for Applied Mathematics

1
S M A didactic for Applied
Mathematics

• Dr. Gerard Jeurnink

• University of Twente
• the Netherlands
• August 2005

2

• How to inspire students in math lessons?
• How to make boring formulas significant?
• Change the didactic?

3
Realistic Math Education

• ( Freudenthal 1905 1990 )
• Solving every-day-life-problems
• Reinventing mathematical concepts
• Teaching- learning process is interactive

4
PISA 2003

• Mathematical literacy
• Reading literacy
• Scientific literacy
• Problem solving skills

5

• High score of the Netherlands, especially in math
• University teachers are not satisfied
• Less score for the Netherlands in problem solving

6
PISA math exercises

• Skateboards
• Exchange rate

7
Aim of math education at senior high school

• Not only simple every day life problems,
  but also serious problems from real world.
• Not only meaning and insight ( Jan de Lange),
  but also hard calculations.
• Not only reinventing, but also inventing
  concepts.

8
Interaction teacher- students

• We no longer teach, but rather coach
• Maintain chalk and talk
• The teacher remains to be the expert

9
S M A - didactic

• S State the problem
• M Model the problem
• A Apply the problem

10
(No Transcript)
11
Stating

• Recognition from television
• At first hand no mathematics

12
Modelling

• ( in discussion with classroom)
• What are the variables and functions?
• How are they related to each other?
• How to proceed a mathematical solution?

13
Applying

• Some modifications are cool
• After applying these become hot

14

• Stated problem cannot always be solved during
  lessons at school
• Possibility for an advanced report
• (practical task) by student(s)

15
Project . ( seri)

• 1. Waves
• 2. .
• n. Codes

16
Conclusion

• S M A didactic
• Insight, meaning, hard math, appreciation
• Not replacing, but additional