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Lecturer(s)
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Pěchoučková Šárka, PhDr. Ph.D.
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Course content
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1. Periodization of development of mathematics and its main stages. Mathematics in prehistory and antiquity (Egypt) 2. Mathematics in antiquity (Mesopotamia, China, India) 3. Mathematics in antiquity (greek schools, the 1st crisis in mathematics, three problems of antiquity) 4. Alexandrian school, Hellenistic period 5. Mathematics in the Middle Ages outside Europe 6. Mathematics in the Middle Ages in Europe 7. Algebra and geometry until the end of 17th century 8. Analysis until the end of the 16th century 9. Newton, Leibniz and their followers, the 2nd crisis in mathematics 10. Combinatorics and probability in the history of mathematics 11. Mathematical analysis in the 18th century 12. Algebra at the beginning of the 18th century 13. Main trends in the following development of mathematics, the 3rd crisis in mathematics
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Learning activities and teaching methods
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Interactive lecture, Self-study of literature, Textual studies, Lecture
- Contact hours
- 26 hours per semester
- Graduate study programme term essay (40-50)
- 40 hours per semester
- Preparation for an examination (30-60)
- 30 hours per semester
- Presentation preparation (report) (1-10)
- 1 hour per semester
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| prerequisite |
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| Knowledge |
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| have knowledge corresponding to the areas for the state bachelor's exam in the field of Mathematical Studies |
| Skills |
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| apply knowledge and skills corresponding to the areas for the state bachelor's exam in the field of Mathematical Studies |
| Competences |
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| N/A |
| learning outcomes |
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| Knowledge |
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| describe the basic features of the development of mathematics from prehistory to the modern age |
| explain the sequence of topics taught in school mathematics in connection with the development of mathematics |
| Skills |
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| to select suitable historical problems and methods of their solution for teaching in primary school |
| to apply some methods and algorithms used in history |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Textual studies |
| Self-study of literature |
| Skills |
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| Skills demonstration |
| Self-study of literature |
| Students' portfolio |
| Competences |
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| Lecture |
| Lecture supplemented with a discussion |
| Multimedia supported teaching |
| Self-study of literature |
| One-to-One tutorial |
| assessment methods |
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| Knowledge |
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| Written exam |
| Individual presentation at a seminar |
| Seminar work |
| Skills |
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| Written exam |
| Individual presentation at a seminar |
| Competences |
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| Continuous assessment |
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Recommended literature
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publikace z edice Dějiny matematiky.
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Folta, J. Dějiny matematiky I.. Praha, 2004. ISBN 80-239-4031-7.
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Juškevič, A. P. Istorija matěmatiky 1, 2, 3. Moskva, 1970.
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Potůček, J. Historie matematiky pro učitele, I. díl. Plzeň, 2003. ISBN 80-7020-127-4.
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Potůček, J. Historie matematiky pro učitele, II. díl. Plzeň, 2003. ISBN 80-7020-0128-2.
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Struik, D.J. Dějiny matematiky.. Praha : Orbis, 1963. ISBN 1-123-63.
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