Course: Mathematics for Practice 2

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Course title Mathematics for Practice 2
Course code KMA/KVMP2
Organizational form of instruction Seminary
Level of course Master
Year of study not specified
Semester Winter and summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Bímová Daniela, Mgr. Ph.D.
  • Příhonská Jana, doc. RNDr. Ph.D.
Course content
Exercises: The content of the subject will be teaching arithmetic for pupils with SEN, practical application of the subject matter and its practice in the mathematics curriculum at the 1st grade of elementary school with the use of opinion and suitable compensatory aids, as well as the teaching of selected parts of geometry with regard to their application in the teaching of mathematics at the 1st grade. primary school level Thematic areas: 1. Classification of specific learning disorders in mathematics (calcusthenia, hypocalculia, oligiocalculia, acalculia, paracalculia. 2. Diagnosis of learning disorders in mathematics. 3. Principles of working with students with mathematical disabilities. 4. Practical procedures in the re-education of learning disabilities - natural numbers and numerical operations with them. 5. Practical procedures in the re-education of learning disabilities - fractions. 6. Practical procedures in the re-education of learning disabilities - word problems. 7. Interactive resources in teaching mathematics. 8. Planimetry - creation of concepts (mainly the names of planar figures: triangles and quadrilaterals, their classification and properties) using different types of models. Cutting and folding paper, geodesic, stick geometry, using a model, GeoGebra software, etc. 9. Stereometry - creation of concepts (primarily the names of basic bodies and their parts) using various types of models. "Box geometry", cubic structures and cubic solids, their rectangular plans. GeoGebra software. 10. Spontaneous stereometry - tasks aimed at practicing the topics of network of bodies, geometry of the surface of bodies, movement of bodies, combinatorial geometry of bodies and spatial mazes of levels corresponding to pupils of the 1st grade of elementary school. 11. Relationships in geometry - similarity of planar figures (transparency, decal); similarity of planar figures (use of building blocks and games); parallelism, divergence and eccentricity of straight lines, parallelism and divergence of a line and a plane, or planes determined in conjunction with body models. 12. Operations in geometry - graphical addition and subtraction of line segments and angles on models, stick geometry. 13. Congruent representations in plane and space - axial symmetry, central symmetry, displacement, rotation and identity in plane and space, plane symmetry in space and their application using models, construction kits, board games, cube structures, etc. Didactic games and puzzles in geometry, their classification and their use for understanding the subject matter and the development of spatial imagination. 14. Measure (size) of geometric shapes - length of a segment, content of a figure, volume of a solid, size of an angle with the use of compensatory aids (square and cubic nets). Units and their conversions using conversion tables.

Learning activities and teaching methods
Active metods (simulation, situational contingency methods, drama,acting, namagerial acting ), Students' portfolio, Task-based study method
  • Class attendance - 6 hours per semester
  • Home preparation for classes - 14 hours per semester
  • Semestral paper - 18 hours per semester
Learning outcomes
The content of the subject will be the teaching of arithmetic for pupils with SEN, practical application of the subject matter and its practice in the mathematics curriculum at the 1st grade of elementary school with the use of opinion and suitable compensatory aids, as well as the teaching of selected parts of geometry with regard to their application in the teaching of mathematics at the 1st grade of elementary school.
Development of mathematical abilities of primary school pupils, work with pupils with specific disorders, ability to solve mathematical problems independently
Prerequisites
Work with computer

Assessment methods and criteria
Student's performance analysis

Active participation in seminars, elaboration and presentation of seminar paper.
Recommended literature
  • Bělík, M. Geometrie s didaktikou. Ústí nad Labem: UJEP, 2005.
  • Blažková, R. Dyskalkulie a další specifické poruchy učení v matematice. Brno: Masarykova univerzita, 2009. ISBN 978-80-210-5047-1.
  • Budínová, I. a kol. Matematika pro bystré a nadané žáky.. Brno: Edika, 2016. ISBN 978-80-266-1012-0.
  • Hejný, M., Kuřina, F. Dítě, škola a matematika.. Praha: Portál, 2001. ISBN 978-80-7367-397-0.
  • Chytrý, V., Prchalová, J. Geometrie s didaktikou II. Ústí nad Labem : UJEP, 2013. ISBN 978-80-7414-593-3.
  • Kaslová, M. Předmatematické činnosti v předškolním vzdělávání.. Praha: Raabe., 2010. ISBN 978-80-86307-96-1.
  • Kuřina, F. Matematika a porozumění světu.. Praha: Academia., 2009. ISBN 978-80-200-1743-7.
  • Novák, J. Dyskalkulie: metodika rozvíjení základních početních dovedností. Havlíčkův Brod: Tobiáš, 2004. ISBN 8073-11-029-6.
  • Příhonská, J. Digitální matematika/Matematika a její aplikace. In: Berki, J. (Ed.). Jak podpořit výuku e-technologiemi.. TUL, 2014. ISBN 978-80-7494-134-4.
  • Zelendová, E. Rozvíjíme matematické nadání žáků ? náměty pro 1. stupeň ZŠ. NÚV Praha, 2017. ISBN 978-80-7481-190-6.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester