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An article on how to teach tangent lines, the derivative, and local linearity through experimentation and exploration by students.
The mathlet graphs solution functions \(x(t)\) and \(y(t)\) to the system of differential equations \(x' = f(x,y)\) and \(y' = g(x,y)\), with initial values given by \( x(t_0)=x_0\) and \(y(t_0)=y

Graphs solution functions \(y(x)\) to the differential equation \(y'=f (x,y)\), with initial value given by \(y(x_0)=y_0\). The student can zoom in and out of the graphs.

The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.

Using the history of mathematics in a college algebra class has had significant positive effects on student learning.

A systematically presented multi-page course on basic trigonometry: trigonometry of triangles, laws of sines and cosines, angles, radian measure, trigonometric functions.

This is a Loci article that includes five GeoGebra applets to illustrate topics in real analysis, or a rigorous course in calculus.

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