1 Do we need a CAS-dictionary? Josef Böhm, ACDCA & Technical University, Vienna, Austria Eno Tonisson, University of Tartu, Estonia

As Time Goes by … the CAS Might Change! DERIVE wxMaxima TI-NspireCAS GeoGebra (CAS?) WIRIS Others??? YACAS MuPad Voyage 200 MATHEMATICA

Imagine we would like to create a sequence! In my new school they have a licence for MuPad

In DERIVE I have been used to apply the VECTOR.command: Switching to TI-Nspire CAS was not so difficult, because I know how to work with the TI-92 and the Voyage 200 But my colleagues insist on working online with WIRIS: How to create a sequence?

A few schools are working with open source wxMaxima: And I was recommended to try another open source CAS: YACAS

How to create a sequence? You will surely recognize this:

7 Integration & Plotting

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11 A System of linear Equations (2 Equations and 4 Variables!)

12 TI-Nspire

13 wxMaxima

14 WIRIS YACAS

15 MuPad

16 Differences Between CAS1 and CAS2 Between CAS1 and school ?? Between school and school ?? Input syntax –VECTOR, seq, makelist, table … –3a, 3*a –a^2, a 2 –… Output of the results

17 One may want to Get acquainted with certain CAS Compare certain CASs –for example, familiar one and unfamiliar one Compare some CASs –choose suitable CAS –research on CASs

18 Dictionary (Merriam-Webster) : a reference source in print or electronic form containing words usually alphabetically arranged along with information about their forms, pronunciations, functions, etymologies, meanings, and syntactical and idiomatic uses : a reference book listing alphabetically terms or names important to a particular subject or activity along with discussion of their meanings and applications : a reference book giving for words of one language equivalents in another : a computerized list (as of items of data or words) used for reference (as for information retrieval or word processing)

19 Model Multilingual dictionaries could be taken as the models. The commands of certain CAS form the "language" (or "dialect"). There are several special needs.

20 Example of Multilingual Dictionary

21 Looking for Platform The product should be –web-based, –user-friendly and –open for supplements. Open source for dictionary???

22 From scratch Keywords –relational database –MySQL –Java –servlets –Tomcat

23 Main Page for Users Select CASs (1..n) Select Topic

24 “Example Unit” Id: 17 CAS: Derive 6 Problem: Solve equation 2x+3=9 Topic: Linear equation, 1 variable, 1 solution Input: solve(2x+3=9,x) Comments on input: 2x, 2*x, 2·x are allowed Output: x=3 Comments on output: …

25 Primitive prototype of CASDictionary That's one small step for mankind, one giant leap for me

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29 Next steps Depend on your reaction!!! Possible directions –Automatic “translation” between CAS languages –… Do we need a CAS-dictionary? What kind of? …