M8501 Didactics of Mathematics 1

Faculty of Science
Spring 2008 - for the purpose of the accreditation
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: k (colloquium).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
RNDr. Jiří Herman, Ph.D. (seminar tutor)
RNDr. Pavel Šišma, Dr. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Jaromír Šimša, CSc.
Prerequisites (in Czech)
M4502 Mathematical Analysis 3 && M6520 Algebra 2 && M4522 Geometry 3
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
This course of lectures will be devoted to the systematic exposition of the theory of teaching mathematics on the high-school level. In the introductory part, some questions of general nature will be considered, e.g. the importance of math education, specific features of teaching math and its basic principles. In the main part of the course, the standard topics of the high-school math curriculum in the Czech Republic will be discussed from the didactical point of view. The theoretical explanations will be atttached by solving many sample problems and exercises. Additional forms of teaching gifted pupils will be considered too.
Syllabus
  • Systematic introduction to the didactics of mathematics. Importance of mathematical education. Specific features of teaching math. Aspects of math education in different schools due to their various intending as well as to intellectual skills of their students. Checking and testing of students' knowledge of mathematics and its marking. Methods of solving math problems. Preparation of students for teaching standard topics of high-school math: Basic notions of set theory, Introduction to mathematical logic, Proofs, Method of induction, Elementary number theory, basic number domains, Complex numbers, Equations and inequalities, Functions and their graphs, Planar and Solid Geometry, Vector algebra, Analytic geometry of linear and quadratic set points, Sequences and Series, Basic notions of probability theory and statistics and their applications, Combinatorics and graph theory, Foundations of Infinitesimal Calculus.
Literature
  • Hejný Milan a kol. Teória vyučovania matematiky 2. Bratislava: Slovenské pedagogické nakladateĺstvo, 1989, 554 s.
  • Cyklus učebnic: Matematika pro gymnázia. Praha: Prometheus, 1990-1995.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019.