MA2MP_SHIM Seminar for history of mathematics

Faculty of Education
Autumn 2016
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Helena Durnová, Ph.D. (seminar tutor)
Prof. Tinne Hoff Kjeldsen (seminar tutor), Mgr. Helena Durnová, Ph.D. (deputy)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: Mgr. Helena Durnová, Ph.D.
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2MP_SHIM/01: Mon 11:10–12:50 učebna 34, H. Durnová
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Students will learn about classical texts in history of mathematics and about the possibilities to use history of mathematics in mathematics teaching.
Syllabus
  • 1. Role of history of mathematics in mathematics education 2. Completing the square (Babylonian mathematics) 3. Ancient Egyptian tasks: selection 4. Euclid's Elements: selected passages 5. Alcuin: Propositiones ad Acuendos Juvenes (selection) 6. Algorismus prosaycus (Křišťan z Prachatic) 7. Cardano: Ars magna (selection) 8. Isaac Newton: Prinicipia (selection) 9. Reading: Mersenne, Cogitata physico-mathematica. Little theorem of Fermat. Fermat last theorem 10. Reading: beginnings of probability calculus (Pierre de Fermat and Blaise Pascal, Thomas Bayes). 11. Different definitions of the limit (Wallis, Newton, Maclaurin, D’Alembert, Cauchy) 12. Reading: matrices (Gauss, Cayley, Frobenius)
Literature
    required literature
  • FUCHS, Eduard. Světonázorové problémy matematiky. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1987, 284 s. info
  • ŠEDIVÝ, Jaroslav. Světonázorové problémy matematiky. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1985, 258 s. info
  • ŠEDIVÝ, Jaroslav. Světonázorové problémy matematiky. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1984, 220 s. info
  • ŠEDIVÝ, Jaroslav and Jaroslav FOLTA. Světonázorové problémy matematiky. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1983, 200 s. info
  • STRUIK, Dirk J. Dějiny matematiky. 1. vyd. Praha: Orbis, 1963, 250 s. URL info
    recommended literature
  • Stedall, J. (2008). Mathematics Emerging: A Sourcebook 1540 - 1900. Oxford: Oxford University Press.
  • ŠPELDA, Daniel. Astronomie v antice. Ostrava: Montanex, 2006, 262 s. ISBN 8072252100. info
  • KUHN, Thomas S. The structure of scientific revolutions. 2nd ed., enl. Chicago: University of Chicago Press, 1970, xii, 210. ISBN 0226458040. info
  • LAKATOS, Imre. Dokazatel'stva i oproverženija : kak dokazyvajutsja teoremy. Moskva: Nauka, 1967, 150 s. info
Teaching methods
Seminar with active participation of the students. An original mathematical text with accompanying information will be assigned for each seminar.
Assessment methods
Active participation in the seminars and seminar paper (3-5 pages of text).
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2017, Autumn 2018.
  • Enrolment Statistics (Autumn 2016, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2016/MA2MP_SHIM