ICME 13, TSG 16: A visual approach to calculus

H.-J. Elschenbroich. GeoGebra Institut NRW, Jul 10, 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

Table of Contents

  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. Finally
    1. Conclusion
    2. ICME References
  5. 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.

Finally

  • 1. Conclusion
  • 2. ICME References

4.1.

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

4.2.

–

5.

MyBooks


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