MAz03 Didactics of Mathematics 2

Faculty of Education
Spring 2022
Extent and Intensity
0/0/1.5. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Irena Budínová, Ph.D. (lecturer)
Guaranteed by
Mgr. Helena Durnová, Ph.D.
Department of Mathematics – Faculty of Education
Contact Person: Mgr. Irena Budínová, Ph.D.
Supplier department: Department of Mathematics – Faculty of Education
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
The course enhances education of secondary school mathematics teachers with didactic principles for working with pupils 11-15 years old.
Syllabus
  • 1. Approach to introducing notions in geometry. Straight line, ray (half-line), plane, half-plane. Line segment and its length. Angle and its size. 2. Triangles, quadrangles, circle, disc. Polygons. Classification of the individual shapes, their definition and properties. 3. Identity mappings and uniform scaling. 4. Construction tasks and their solving at an elementary school.. 5. Measures of geometric shapes, deducing the formulas for calculating the perimeter and area of planar shapes and surfaces and volumes of solids. Units of measure and their transformation. 6. Depiction of planar geometric shapes and solids in affine projections, views on solids (floor plan, cross section)
Literature
    recommended literature
  • BUDÍNOVÁ, Irena. Přístupy nadaných žáků 1. a 2. stupně základní školy k řešení některých typů úloh v matematice (Approaches of first and second degree gifted pupils to solve various types of problems). první. Brno: Masarykova univerzita, Pedagogická fakulta, 2018, 202 pp. Matematika a didaktika matematiky. ISBN 978-80-210-9215-0. Available from: https://dx.doi.org/10.5817/CZ.MUNI.M210-9216-2018. info
    not specified
  • KOPKA, Jan. Hrozny problémů ve školské matematice. Vyd. 1. Ústí nad Labem: Univerzita J.E. Purkyně, 1999, 194 s. Acta Universitatis Purkynianae. Studia matematica, 1. ISBN 80-7044-247-6.
  • KUŘINA, František and Jana CACHOVÁ. Matematika a porozumění světu : setkání s matematikou po základní škole. Vyd. 1. Praha: Academia, 2009, 332 s. ISBN 9788020017437. info
  • Dvacet pět kapitol z didaktiky matematiky. Edited by Milan Hejný - Jarmila Novotná - Naďa Vondrová. Praha: Univerzita Karlova v Praze - Pedagogická fakulta, 2004, viii, 212. ISBN 8072901893. info
  • HEJNÝ, Milan. Teória vyučovania matematiky. 1. vyd. Bratislava: Slovenské pedagogické nakladatel'stvo, 1989, 554 s. info
Teaching methods
Theoretical lecture and seminar.
Assessment methods
Active participation in the seminars. Odevzdání portfolia.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: in blocks.
Information on the extent and intensity of the course: 18 hodin.
The course is also listed under the following terms Spring 2018, Spring 2019, Spring 2020, Spring 2021.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2022/MAz03