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Another way to teach derivative and antiderivative functions with Cabri 14th T3 T3 T3 T3 CONFERENCE CALGARY Jean-Jacques DAHAN IREM and IUFM of Toulouse.

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Presentation on theme: "Another way to teach derivative and antiderivative functions with Cabri 14th T3 T3 T3 T3 CONFERENCE CALGARY Jean-Jacques DAHAN IREM and IUFM of Toulouse."— Presentation transcript:

1 Another way to teach derivative and antiderivative functions with Cabri 14th T3 T3 T3 T3 CONFERENCE CALGARY Jean-Jacques DAHAN IREM and IUFM of Toulouse FRANCE

2 How to draw curves of functions  A library of curves Curve1 Curve2 Curvegeneral  Algebraic and geometric composition comp1  The special exemple of trigonometric curves sinkoba

3 How to introduce the tangent line and the derivative function  The Cabri construction fonctetder1 fonctetder2 fonctetder3 fonctetder4  Conjecturing easily the algebraic formulas sinder  A curve from its tangents scale1 scale1bis scale2

4 How to introduce the antiderivative function  Another way to draw a curve: from its tangents! cerclaucompas2 cerclaucompas3 CercleparEulerbis  Euler Method Euler1 Euler2  The power of this method: to draw the curve of the antiderivative function antisin anti1overx

5 Riemann sums and integrals  How to draw Riemann rectangles? Riemann1 Riemann2 Riemann3  How to calculate an integral? calculint20 Riemann1tercab Riemann1terexcel

6 jjdahan@wanadoo.fr http://www.cabri.net http://www.irem.ups-tlse.fr http://www.irem.ups-tlse.fr/Groupes/MathInfo.html WEBSITES

7 Cartoons by Nicolas DAHAN  ndahan@voila.fr ndahan@voila.fr  Website with links:  http://site.voila.fr/nicolasdahan

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