ICME 13, TSG 16: A visual approach to calculus

H.-J. Elschenbroich. GeoGebra Institut NRW, 10/7/2016

[b]Calculation-free and visual approach to basic concepts of calculus.[/b] ICME 13 visual approach to calculus elschenbroich funktionenlupe function loupe differentiator differentiograph integrator integraph

Tabla de Contenidos

  1. Intro
    1. Start
    2. ICME Typical Problem
    3. Example
  2. Function Loupe
    1. ICME Function Loupe I (Slope)
    2. ICME slope functions
    3. ICME Function Loupe II (slope functions)
    4. ICME Function Loupe II (dynamic derivation-plotter)
  3. Integrator
    1. ICME Integrator I (UpperSum, LowerSum, Integral)
    2. ICME Sum Functions
    3. ICME Integrator II (Sum Functions)
    4. ICME Integral function
    5. ICME Integrator III (dynamic integralfunction-plotter)
  4. Paper
    1. Paper & Vortrag ICME 13
  5. Finally
    1. Conclusion
    2. ICME References
  6. MyBooks

1.

Intro

  • 1. Start
  • 2. ICME Typical Problem
  • 3. Example

1.1.

Start

[size=200][b][color=#000000]ICME: A visual approach to calculus[br][b]H.-J. Elschenbroich[/b][/color][/b][br][br][/size][size=200][url=http://www.geogebra.org/m/pGKnMH7d][color=#0000ff]www.geogebra.org/m/pGKnMH7d[/color][/url][color=#0000ff]#[/color][/size]
– H.-J. Elschenbroich. GeoGebra Institut NRW

1.2.

–

1.3.

–

2.

Function Loupe

  • 1. ICME Function Loupe I (Slope)
  • 2. ICME slope functions
  • 3. ICME Function Loupe II (slope functions)
  • 4. ICME Function Loupe II (dynamic derivation-plotter)

2.1.

ICME Function Loupe I (Slope)

– H.-J. Elschenbroich. GeoGebra Institut NRW

2.2.

–

2.3.

–

2.4.

–

3.

Integrator

  • 1. ICME Integrator I (UpperSum, LowerSum, Integral)
  • 2. ICME Sum Functions
  • 3. ICME Integrator II (Sum Functions)
  • 4. ICME Integral function
  • 5. ICME Integrator III (dynamic integralfunction-plotter)

3.1.

ICME Integrator I (UpperSum, LowerSum, Integral)

[size=200][color=#000000]Graphical and calculation-free approach to integral calculus[/color][/size]
– H.-J. Elschenbroich. GeoGebra Institut NRW

3.2.

–

3.3.

–

3.4.

–

3.5.

–

4.

Paper

  • 1. Paper & Vortrag ICME 13

4.1.

Paper & Vortrag ICME 13

ICME 13 TSG16 Elschenbroich
Elschenbroich, Hans-Jürgen (2016): A VISUAL APPROACH TO BASIC CONCEPTS OF CALCULUS.[br]Vortrag auf der ICME 13, 26.07.2016[br]
ICME 13 LEHRERTAG_Elschenbroich PPT
Elschenbroich, Hans-Jürgen (2016): Kalkülfreie Einstiege in die Differenzial- und Integralrechnung. [br]Vortrag auf dem Lehrertag der ICME 13, 28.7.2016.
– H.-J. Elschenbroich. GeoGebra Institut NRW

5.

Finally

  • 1. Conclusion
  • 2. ICME References

5.1.

Conclusion

[list][size=200][color=#000000][*]Direct calculation instead of tricky algebra[/*][*]Dynamic visualisation[br][/*][*]Graphical and dynamic plotting [/*][*]Understanding of basic concepts[/*][*]No substution of theory, but their fundament[/*][*][b]Learning Environment[/b] for the students, enables exploring & discovering; promoting active learning![/*][/color][/size][/list][br]
– H.-J. Elschenbroich. GeoGebra Institut NRW

5.2.

–

6.

MyBooks


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