Course: The use of computers in mathematics education

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Course title The use of computers in mathematics education
Course code KMA/XUPM
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 8
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Hašek Roman, Mgr. Ph.D.
Course content
1. General questions on use of computers in teaching. Pros and cons. Present trends. Research in ways of efficient utilization of computers in education. Organization of classroom activities with computer. 2. The computer algebra software (CAS) Derive, Maple and Mathematica. Principles of operation. Basic commands. 3. The dynamic geometry software (DGS) Cabri and GeoGebra. Principles of operation. Basic commands. 4. Introduction into the typesetting program LaTeX and its graphic user interface WinEdt. Production of a document. 5. Spreadsheets. MS Excel. 6. Integration of the software means in teaching. 7. Solving of particular problems from both theory and real-world that are suitable to use in education. Presentation of seminar works.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work activities (workshops), Activating (simulations, games, drama)
Learning outcomes
The subject offers a survey of possible utilizations of computers in mathematics. First part of the subject introduces a student to all possible fields of utilization of computers in education (teaching and learning software, computation, hypothesis testing, knowledge testing, development of a creativity, support and training of imagination) and to general problems of methodology and orchestration of teaching with computers. The main part focuses on particular cases of utilization of CAS (Computer Algebra Systems - Derive, Maple, Mathematica), DGS (Dynamic Geometry Software - Cabri, GeoGebra) and spreadsheets (MS Excel). Possible ways of the software utilization are illustrated through solving of selected real-world problems. The participant also acquires basic skills in use of the typesetting system TeX in the course of the subject.
Student will learn to control CAS programs Maple and Mathematica, DGS programs Cabri and GeoGebra and the typesetting program TeX. Through solving of specific problems she will learn possible ways of using these programs in mathematics.
Basic computer skills.

Assessment methods and criteria
Student performance assessment, Analysis of student's work activities (technical works), Analysis of creative work (musical, visual, literary)

Active participation on seminars, seminar work.
Recommended literature
  • Betounes, D. Mathematical Computing. Springer, 2002..
  • Hašek, R. The CAS program Maple in teaching of mathematics, e-learningový kurz,, PF JU, 2006..
  • Hašek, R. Užití Derive ve výuce matematiky. Č. Budějovice, 2007..
  • Heal, K., H. Maple V, Learning Guide..
  • Pech, P. Klasické versus počítačové metody při řešení úloh v geometrii. Č. Budějovice: JU, 2005, 172 stran..
  • Plch, R., Lomtatidze, L. Sázíme v LaTeXu diplomovou práci z matematiky. Brno: MU, 2003..
  • Wolfram, S. The Mathematica Book 5th edition, Stephen Wolfram..

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (1) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -