SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)

How much you are able to remember depending on the time you are listening a speech

Learning velocity between students (Bloom, 1973 und Wahl 2005)

Primary school Factor 1:5

College Factor 1:9

(depending from the Heterogenity of the students)

Four consequences for teaching

1. Teaching structure „Sandwich principle“

Systematic Change of impart and transfer units

Example „Traffic lights method“

After an impart unit, at the beginning or at the end of a lesson you can use the

„Traffic lights method“

„Traffic lights method“

Answer 1

Answer 2

Answer 3

• One question, three answers to choose from

Posibility of transfer „Traffic lights method“

Helsinki was founded

1150

1350

1550

Four consequences for teaching

1. Teaching structure „Sandwich principle“

Systematic Change of impart and transfer units

2. „WELL“ (mutual teaching and learning)

Four consequences for teaching

3. Knowledge should be structurized

Four consequences for teaching

3. Knowledge should be structurized

4. „Advance Organizers“

Advance Organizer

• Learning aid• Summary of the most important results at the

beginning of a unit.• Without any details• Connection with already existing knowledge.

Advance Organizer for Integral Calculus

Advance Organizer for Integral Calculus

€

A =1

2⋅ 3⋅ 4 + 3⋅ 4 =18(FE)

Advance Organizer for Integral Calculus

What is the size of the marked area?

Advance Organizer for Integral Calculus

Building of the antiderivative

€

x1 →1

2x2

€

x2 →1

3x3

€

x3 →1

4x4

€

x4 →1

5x5

€

xn →1

n +1xn+1

Advance Organizer for Integral Calculus

€

x3 →1

4x4

Advance Organizer for Integral Calculus

€

x3 →1

4x4

€

A =1

4⋅ 24 −

1

4⋅14 =

1

4⋅16 −

1

4=

15

4

„Traffic lights method“

The antiderivative of f(x) = x² is

€

F(x) = 2x

€

F(x) =1

2x3

€

F(x) =1

3x3

„Traffic lights method“

The antiderivative of f(x) = x² is

€

F(x) = 2x

€

F(x) =1

2x3

€

F(x) =1

3x3

„Traffic lights method“

The antiderivative of f(x) = is

€

x3

€

F(x) = 3x2

€

F(x) =1

4x4

€

F(x) =1

3x3

„Traffic lights method“

The antiderivative of f(x) = is

€

x3

€

F(x) = 3x2

€

F(x) =1

4x4

€

F(x) =1

3x3

„Traffic lights method“

The marked red area of the graph from f(x) = x² is

€

83

€

4

€

143

„Traffic lights method“

The marked red area of the graph from f(x) = x² is

€

83

€

4

€

143

„Traffic lights method“

The marked blue area of the graph from f(x) = x² is

€

13

€

23

€

43

„Traffic lights method“

The marked blue area of the graph from f(x) = x² is

€

13

€

23

€

43