another way to teach derivative and antiderivative functions with cabri

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Another way to teach Another way to teach derivative and derivative and antiderivative antiderivative functions with Cabri functions with Cabri 14th T 14th T 3 3 CONFERENCE CONFERENCE CALGARY CALGARY Jean-Jacques DAHAN Jean-Jacques DAHAN IREM and IUFM of Toulouse IREM and IUFM of Toulouse FRANCE FRANCE

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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 - PowerPoint PPT Presentation

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Page 1: Another way to teach  derivative and antiderivative functions with Cabri

Another way to teachAnother way to teach derivative and antiderivative derivative and antiderivative

functions with Cabrifunctions with Cabri

14th T14th T33 CONFERENCE CALGARY CONFERENCE CALGARY

Jean-Jacques DAHANJean-Jacques DAHAN

IREM and IUFM of ToulouseIREM and IUFM of Toulouse

FRANCEFRANCE

Page 2: Another way to teach  derivative and antiderivative functions with Cabri

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

Page 3: Another way to teach  derivative and antiderivative functions with Cabri

How to introduce the tangent lineand the derivative function

The Cabri construction fonctetder1 fonctetder2

fonctetder3 fonctetder4

Conjecturing easily the algebraic formulas sinder

A curve from its tangents scale1 scale1bis scale2

Page 4: Another way to teach  derivative and antiderivative functions with Cabri

How to introduce the antiderivative function

Another way to draw

a curve: from its tangents!

cerclaucompas2 cerclaucompas3

CercleparEulerbis

Euler’s Method Euler1 Euler2

The power of this method: to draw the curve of the antiderivative function antisin anti1overx

Page 5: Another way to teach  derivative and antiderivative functions with Cabri

Riemann sums and integrals

How to draw Riemann rectangles? Riemann1 Riemann2 Riemann3

How to calculate an integral? calculint20 Riemann1tercab Riemann1terexcel

Page 6: Another way to teach  derivative and antiderivative functions with Cabri

[email protected]

http://www.cabri.net

http://www.irem.ups-tlse.fr

http://www.irem.ups-tlse.fr/Groupes/MathInfo.html

WEBSITES

 

Page 7: Another way to teach  derivative and antiderivative functions with Cabri

Cartoons by Nicolas DAHAN

[email protected]

Website with links: http://site.voila.fr/nicolasdahan