Course: Methods for solving mathematical problems

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Course title Methods for solving mathematical problems
Course code KMT/XMRM@
Organizational form of instruction no contact
Level of course Doctoral
Year of study 2
Semester Winter and summer
Number of ECTS credits 7
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
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Laitochová Jitka, doc. RNDr. CSc.
Course content
unspecified

Learning activities and teaching methods
unspecified
Learning outcomes
Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • BROUSSEAU, G. (2012). Úvod do teorie didaktických situací v matematice. Praha: PdF UK.
  • CLARKE, D., GOOS, M., MORONY, W. (2007). Problem solving and working mathematically: an Australian perspective.. ZDM Mathematics Education, 475-490.
  • DAVIDSON, J. E. (2003). Insights about Insightful Problem Solving. In: DAVIDSON, J. E. a R. J. STERNBERG, eds. The Psychology of Problem Solving. Cambridge: Cambridge University Press.
  • ENGEL, A. (1998). Problem-Solving Strategies. New York: Springer-Verlag.
  • HECHT, T., SKLENÁRIKOVÁ, Z. (1992). Metódy riešenia matematických úloh.. Bratislava: Slovenské pedagogické nakladatelstvo.
  • HEJNÝ, M. a kol.:. (1990). Teória vyučovania matematiky 2.. Bratislava: SPN.
  • JANČAŘÍK, A. (2007). Algorithms and Solving Strategies. Praha: UK.
  • KONFOROVIČ, A. G. (1989). Významné matematické úlohy. Praha: SPN.
  • KOPKA, J. (1999). Hrozny problémů ve školské matematice. Ústí nad Labem: Univerzita J. E. Purkyně v Ústí nad Labem.
  • KOPKA, J. (2013). Umění řešit matematické problémy. Praha: RNDr. Karel Hoza - HAV.
  • KUŘINA, F. (1976). Problémové vyučování v geometrii. Praha: SPN.
  • LARSON, L. C. (1990). Metódy riešenia matematických problémov.. Bratislava: ALFA.
  • LARSON, L. C. (1983). Problem-Solving Through Problems.. New York: Springer-Verlag.
  • PÓLYA, G. (2004). How to Solve It: A New Aspect of Mathematical Method. Expanded Princeton Science Library Edition, with a new foreword by John H. Conway.. Princeton and Oxford: Princeton University Press.
  • PÓLYA, G. (1981). Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving. Combinated edition.. New York: John Wiley and Sons.
  • PÓLYA, G. (1954). Mathematics and Plausible Reasoning: Vol. I Induction and Analogy in Mathematics.. Princeton: Princeton University Press.
  • PÓLYA, G. (1968). Mathematics and Plausible Reasoning: Vol. II Patterns of Plausible Reasoning.. Princeton: Princeton University Press.
  • VOLFOVÁ, M. (2000). Metody řešení matematických úloh. Hradec Králové: Gaudeamus.
  • VRÁBEL, P. (2005). Heuristika a metodológia matematiky.. Nitra: Univerzita Konštantína Filozofa.
  • VYŠÍN, J. (1978). Štyri kapitoly o problémovom vyučovaní matematiky.. Bratislava: Slovenské pedagogické nakladateľstvo.


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): Mathematical literacy in education (DC23) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC24) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC21) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC22) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC20) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC20) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC23) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC22) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC24) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC21) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter