Do we need a CAS-dictionary?

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Do we need a CAS-dictionary?

• Josef Böhm,
• ACDCA Technical University, Vienna, Austria
• Eno Tonisson,
• University of Tartu, Estonia

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As Time Goes by the CAS Might Change!
WIRIS
MuPad
YACAS
Others???
wxMaxima
TI-NspireCAS
MATHEMATICA
GeoGebra (CAS?)
DERIVE
Voyage 200
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Imagine we would like to create a sequence!
In my new school they have a licence for MuPad
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How to create a sequence?
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
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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
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How to create a sequence?
You will surely recognize this
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Integration Plotting
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A System of linear Equations (2 Equations and 4
Variables!)
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TI-Nspire
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wxMaxima
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WIRIS
YACAS
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MuPad
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Differences

• Between CAS1 and CAS2
• Between CAS1 and school
• ?? Between school and school ??
• Input syntax
• VECTOR, seq, makelist, table
• 3a, 3a
• a2, a2
• Output of the results

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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

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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)

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Model

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

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Example of Multilingual Dictionary
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Looking for Platform

• The product should be
• web-based,
• user-friendly and
• open for supplements.
• Open source for dictionary???

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From scratch

• Keywords
• relational database
• MySQL
• Java
• servlets
• Tomcat

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Main Page for Users

• Select CASs (1..n)
• Select Topic

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Example Unit

• Id 17
• CAS Derive 6
• Problem Solve equation 2x39
• Topic Linear equation, 1 variable, 1 solution
• Input solve(2x39,x)
• Comments on input 2x, 2x, 2x are allowed
• Output x3
• Comments on output

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Primitive prototype of CASDictionary

• That's one small step for mankind, one giant leap
  for me ?

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Next steps

• Depend on your reaction!!!
• Possible directions
• Automatic translation between CAS languages
• Do we need a CAS-dictionary?
• What kind of?