AS Supporting Teaching and Learning of Linear Algebra

Computer Algebra Systems Supporting Teaching/ Learning Linear Algebra Ana Donevska Todorova International GeoGebra Conference for Southeast Europe January 2011, Novi Sad, Serbia

Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GCSE 2011

Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GCSE 2011

Comparison ,[object Object],[object Object],GCSE 2011 http://en.wikipedia.org/wiki/Comparison_of_computer_algebra_systems System Creator Development started First public release Latest stable version Cost ( USD ) Open source Maple Maplesoft 1980 1984 14 (April 2010) $1,895 (Commercial), $1,795 (Government), $995 (Academic), $239 (Personal Edition), $99 (Student), $79 (Student, 12-Month term) No Mathema ica Wolfram Research 1986 1988 8.0 /November 2010 $2,495 (Professional), $1095 (Education), $140 (Student), $69.95 (Student annual license) $295 (Personal) No Maxima MIT Project MAC and Bill Schelter et al. 1967 1998 5.22 (2010) Free Yes

Comparison ,[object Object],[object Object],http://en.wikipedia.org/wiki/Comparison_of_computer_algebra_systems GCSE 2011 System Formula editor Calculus Solvers Graph theory Number theory Boolean algebra Integra tion Integral Transfor ms Equations Inequal ities Differential equations Recurrence relations Maple Yes Yes Yes Yes Yes Yes Yes Yes Yes No Mathem atica Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Maxima No Yes Yes Yes Yes Yes No Yes Yes No

Comparison http://en.wikipedia.org/wiki/Comparison_of_computer_algebra_systems ,[object Object],[object Object],GCSE 2011 System Windows Linux Solaris Maple Yes Yes Yes Mathematica Yes Yes No Maxima Yes Yes Yes MuPAD Yes Yes No

Comparison ,[object Object],[object Object],http://en.wikipedia.org/wiki/List_of_interactive_geometry_software#Comparison GCSE 2011 Software Cost (USD) Platforms Cinderella 1.4 Free Windows, GNU/Linux, Mac OS X (Java) Cinderella 2.0 69 US$ Windows, GNU/Linux, Mac OS X (Java) DrGeo Free GNU/Linux, Mac OS X GeoGebra Free Windows, GNU/Linux, Mac OS X GeoNext Free Windows, GNU/Linux, Mac OS X Kig Free GNU/Linux Kgeo Free GNU/Linux KmPlot Free GNU/Linux, Mac OS X

Comparison ,[object Object],[object Object],[object Object],GCSE 2011 Software Calculations Macros Loci Animations LaTeX export Web export Multilingual Cabri II Plus Yes Yes Yes Yes No Yes Yes Cinderella Yes Yes Yes Yes Yes (PDF) Yes Yes GeoGebra Yes Yes Yes Yes Yes (PSTricks & PGF/TikZ) Yes Yes (51 languages) GeoNext Yes No No Yes No ? Yes Kig Yes Yes Yes No Yes (PSTricks) No Yes Cabri 3D Yes No No Yes No Yes (limited) Yes

Online system moodle at MIT University Skopje GCSE 2011

Teaching/ Learning Experiences *Resource http://moodle.mit.edu.mk/course/Matematika ,[object Object],[object Object],GCSE 2011

Implementation of the mathematics upgraded knowledge in other engineering subjects ,[object Object],[object Object],[object Object],[object Object],GCSE 2011 Facilities Product 1 Product 2 Product 3 1 2 3 4 2 1 2 1 3 1 1 2

Implementation of the mathematics upgraded knowledge in other engineering subjects ,[object Object],GCSE 2011

Teaching/ Learning Experiences ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GCSE 2011

Teaching/ Learning Experiences ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GCSE 2011

Graphical Solution ,[object Object],GCSE 2011

References ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],GCSE 2011

AS Supporting Teaching and Learning of Linear Algebra

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AS Supporting Teaching and Learning of Linear Algebra