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Another way to teach derivative and antiderivative functions with Cabri

Another way to teach derivative and antiderivative functions with Cabri. 14th T 3 CONFERENCE CALGARY Jean-Jacques DAHAN IREM and IUFM of Toulouse FRANCE. How to draw curves of functions. A library of curves Curve1 Curve2 Curvegeneral Algebraic and geometric composition comp1

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Another way to teach derivative and antiderivative functions with Cabri

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

  2. How to draw curves of functions • A library of curvesCurve1Curve2Curvegeneral • Algebraic and geometric compositioncomp1 • The special exemple of trigonometric curvessinkoba

  3. How to introduce the tangent lineand the derivative function • The Cabri constructionfonctetder1 fonctetder2 fonctetder3fonctetder4 • Conjecturing easily the algebraic formulassinder • A curve from its tangentsscale1scale1bisscale2

  4. How to introduce the antiderivative function • Another way to draw a curve: from its tangents! cerclaucompas2cerclaucompas3 CercleparEulerbis • Euler’s Method Euler1Euler2 • The power of this method: to draw the curve of the antiderivative function antisinanti1overx

  5. Riemann sums and integrals • How to draw Riemann rectangles? Riemann1Riemann2Riemann3 • How to calculate an integral? calculint20Riemann1tercabRiemann1terexcel

  6. jjdahan@wanadoo.frhttp://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 • Website with links: • http://site.voila.fr/nicolasdahan

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