ACDCA
Austrian Center for Didactics of Computer Algebra


How to Make Traditional Tasks Technology Compatible

Josef Böhm Hinweise nojo.boehm@pgv.at
Download der PDF-Datei: howtomake.pdf 490 KB

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This is my summary how to make problems technology compatible:

  • Include the graphing capabilities for additional tasks - forcing visualization.
  • Encourage and ask for numerical and graphical solutions, ask for more than one way of solution, accept heuristic methods, encourage and ask for "Try and Error Methods".
  • Let the pupils produce self made tools and give opportunities to apply them.
  • Provoke functional thinking.
  • Find the problem to presented solutions.
  • Let the pupils set up conjectures - but also ask sometimes for the proofs.
  • Include the various ways of the CASī output into the task, interpret the output and compare with calculation by hands, make the CAS built-in simplification rules to a mathematical subject.
  • Use the CAS-capabilities for additional questions (and keep staying within the curriculum!!)
  • But over all take care that you donīt give problems which set the calculator in the center of the problem, we should remain guided by mathematics and not by the manual.

 

Summary:
One of the MFAQ (= Most Frequent Asked Questions) after workshops or lectures on the use of modern technologies like the TI-family, DERIVE, MS-EXCEL or others for maths education in Secondary Schools is how to find problems and tasks for exercises and assessment. Many of the more experienced teachers have a collection of problems of their own and it is very understandable that they donīt want to throw all their treasures away and start again like at the very begin of their career as a teacher.

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