Course: History of mathematics

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Course title History of mathematics
Course code KMA/XHMA
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 30
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Fuchs Eduard, doc. RNDr. CSc.
Course content
Motivational role of the history of mathematics in school mathematics. Interesting historic problems. Development of the notation of numbers. History of the current school mathematics. Overview of the development of fundamental mathematical disciplines. Importance and position of the history of mathematics in the system of sciences. Egyptian, Mesopotamian and Chines mathematics. Establishment of mathematics as a science. Ancient mathematics. The 1st crisis of mathematics. Arabian mathematics and its influence on European mathematics in the Middle Ages. Fundamental change in the position of science in the 17th century. The 2nd crisis of mathematics. Origin of modern mathematics in the 19th century. The 3rd crisis of mathematics and its consequences for the development of the 20th century mathematics.

Learning activities and teaching methods
Monologic (reading, lecture, briefing)
Learning outcomes
History of mathematics will provide the students with a number of motivational examples usable in school practice and give them a summary of interesting historic problems that have often remained in school mathematics up to this day. Moreover, the subject will enable them to acquire a basic overview of seemingly unrelated mathematical theories. The standard style of mathematical university lectures, which brings the summary in a final and refined form, does not allow students to get a deeper insight into processes that led to the creation of particular mathematical disciplines. This understanding is, however, necessary for the teacher to be able to teach mathematics not as a static "summary of formulas and theorems" but as a live tool of cognition.
completion of basic university courses on calculus, algebra and geometry
Prerequisites
basic orientation in university mathematics

Assessment methods and criteria
Seminar work

Seminar paper on the subject of a student's choice
Recommended literature
  • Bečvář, J., Fuchs, E. (ed.):. Člověk - Umění - Matematika, Dějiny matematiky 4, Prométheus, Praha, 1996.
  • Bečvář, J., Fuchs, E. (ed.):. Historie matematiky I, Dějiny matematiky 1, JČMF, Brno, 1994.
  • Bečvář, J., Fuchs, E. (ed.):. Historie matematiky II, Dějiny matematiky 7, Prométheus, Praha, 1996.
  • Bečvář, J., Fuchs, E. (ed.):. Matematika v proměnách věků, Dějiny matematiky 11, Prometheus, Praha, 1998.
  • Bečvář, J., Fuchs, E. (ed.):. Matematika v 19. století, Dějiny matematiky 3, Prometheus, Praha, 1996.
  • Juškevič, P.:. Dějiny matematiky ve středověku, Academia, Praha, 1977.
  • Katz, V. J.:. A History of Mathematics, Addison-Wesley, 1998.
  • Kline, M.:. Mathematical Thought from Ancient to Modern Times, Oxford Univ. Press, New York, 1999.
  • Schwabik, Š., Šarmanová, P.:. Malý průvodce historií integrálu, Dějiny matematiky 6, Prometheus, Praha, 1996.


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 (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Theory of Mathematics Education (2) Category: Pedagogy, teacher training and social care - Recommended year of study:-, Recommended semester: -