SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)
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Transcript of SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)
![Page 1: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/1.jpg)
SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)
![Page 2: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/2.jpg)
How much you are able to remember depending on the time you are listening a speech
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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)
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Four consequences for teaching
1. Teaching structure „Sandwich principle“
Systematic Change of impart and transfer units
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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“
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„Traffic lights method“
Answer 1
Answer 2
Answer 3
• One question, three answers to choose from
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Posibility of transfer „Traffic lights method“
Helsinki was founded
1150
1350
1550
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Four consequences for teaching
1. Teaching structure „Sandwich principle“
Systematic Change of impart and transfer units
2. „WELL“ (mutual teaching and learning)
![Page 9: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/9.jpg)
Four consequences for teaching
3. Knowledge should be structurized
![Page 10: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/10.jpg)
Four consequences for teaching
3. Knowledge should be structurized
4. „Advance Organizers“
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Advance Organizer
• Learning aid• Summary of the most important results at the
beginning of a unit.• Without any details• Connection with already existing knowledge.
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Advance Organizer for Integral Calculus
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Advance Organizer for Integral Calculus
€
A =1
2⋅ 3⋅ 4 + 3⋅ 4 =18(FE)
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Advance Organizer for Integral Calculus
What is the size of the marked area?
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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
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Advance Organizer for Integral Calculus
€
x3 →1
4x4
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Advance Organizer for Integral Calculus
€
x3 →1
4x4
€
A =1
4⋅ 24 −
1
4⋅14 =
1
4⋅16 −
1
4=
15
4
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„Traffic lights method“
The antiderivative of f(x) = x² is
€
F(x) = 2x
€
F(x) =1
2x3
€
F(x) =1
3x3
![Page 20: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/20.jpg)
„Traffic lights method“
The antiderivative of f(x) = x² is
€
F(x) = 2x
€
F(x) =1
2x3
€
F(x) =1
3x3
![Page 21: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/21.jpg)
„Traffic lights method“
The antiderivative of f(x) = is
€
x3
€
F(x) = 3x2
€
F(x) =1
4x4
€
F(x) =1
3x3
![Page 22: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/22.jpg)
„Traffic lights method“
The antiderivative of f(x) = is
€
x3
€
F(x) = 3x2
€
F(x) =1
4x4
€
F(x) =1
3x3
![Page 23: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/23.jpg)
„Traffic lights method“
The marked red area of the graph from f(x) = x² is
€
83
€
4
€
143
![Page 24: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/24.jpg)
„Traffic lights method“
The marked red area of the graph from f(x) = x² is
€
83
€
4
€
143
![Page 25: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/25.jpg)
„Traffic lights method“
The marked blue area of the graph from f(x) = x² is
€
13
€
23
€
43
![Page 26: SOL (Self organized learning) (Prof. Dr. Diethelm Wahl, University of Weingarten)](https://reader031.fdocuments.net/reader031/viewer/2022020417/56649f1e5503460f94c350f6/html5/thumbnails/26.jpg)
„Traffic lights method“
The marked blue area of the graph from f(x) = x² is
€
13
€
23
€
43