Hi Sage community!

I'm writing my master's thesis on on the usage of Sage in high school
level mathematics. As a part of the project I've programmed various
interactive applications and other examples which can be used in
teaching and learning environment.

I'm very grateful to the community of Sage for producing such a
versatile and valuable program that can be applied in education (in
addition to its other uses). I want to thank you by contributing some
of my work here in hope that it would benefit other teachers utilizing
Sage in their classes and to advance the use of Sage in education.

In the links below there are worksheets containing the code of the
programs. I've also taken screenshots of each application, so that one
can get a quick impression of the programs without having to log in to
Sage.


The Solutions of the Quadratic Equation
http://www.sagenb.org/home/pub/2305/

Difference Quotient
http://www.sagenb.org/home/pub/2303/

Difference Quotient (animation)
http://www.sagenb.org/home/pub/2309/

Function and its first and second derivatives
http://www.sagenb.org/home/pub/2293/

Definite Integral
http://www.sagenb.org/home/pub/2292/

The n-th root of x (animation)
http://www.sagenb.org/home/pub/2311/

Cycloid (animation)
http://www.sagenb.org/home/pub/2310/

Differentiating Practice (random polynomials)
http://www.sagenb.org/home/pub/2300/

Differentiating Practice (functions read from file)
http://www.sagenb.org/home/pub/2298/

Some Trigonometric Properties of Triangle
http://www.sagenb.org/home/pub/2306/

Sine, Cosine and Tangent in an Unit Circle
http://www.sagenb.org/home/pub/2304/

Special Points of Triangle
http://www.sagenb.org/home/pub/2301/

A Cube within a Hemisphere
http://www.sagenb.org/home/pub/2302/

Coin Tossing (simulation)
http://www.sagenb.org/home/pub/2308/

Dice (simulation)
http://www.sagenb.org/home/pub/2299/

Secant Method
http://www.sagenb.org/home/pub/2307/

Newton's Method
http://www.sagenb.org/home/pub/2295/

Trapezoid Method
http://www.sagenb.org/home/pub/2296/

Simpson's Method
http://www.sagenb.org/home/pub/2294/


I appreciate all feedback, whether it concerns technical aspects of
the code or the decisions I've made affecting the user experience.
Also, if you have suggestions how I could make these programs better,
please share your thoughts. Please note that I’ve tried to keep these
programs as clear and simple as possible; there is no error handling
and they may not be fully optimized in terms of Sage’s faster variable
types.

The thesis will be published online when it’s ready (in Finnish).

Thank you!

Lauri Ruotsalainen
University of Turku
Finland

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