Course: Didactics of mathematics II

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Course title Didactics of mathematics II
Course code KMA/DMAK2
Organizational form of instruction Lecture + Seminary
Level of course Master
Year of study 3
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Hošpesová Alena, doc. PhDr. Ph.D.
Course content
1. Word problems (definition, types, phases of solutions, effective guidance of the pupils during the solution process). One step word problems (additive, multiplicative, ways of representation) 2. Multiple steps real life problems. Mathematisation, plan of solution. Non-standard word problems (types, ways of representation, methods of solution). Learning via problem solving. Mistakes in solutions process as diagnostic tool. 3. Geometry in primary curriculum. Introduction of geometrical concepts. Real life geometry. Theoretical background and its representation in the tasks and problems. Methods of work in school geometry (drawing, cutting, modelling colouring, examples of problems). 4. Congruency (theoretical background and didactical interpretation, examples of problems). Measurement in primary geometry (lengths, area, volume). Functional thinking in primary mathematics. Framework Education Programme for Basic Education, school's education programmes. Evaluation and classification in primary mathematics.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
Equipped the student with subject didactic competence dealing with the development of children's conception of shape, space, measurement, congruency in primary mathematics, problems aiming to functional thinking. Development of the competence guide the pupils during solving the word problems. General questions of mathematics teaching on primary school level: aims and language of the mathematics education, development of school program in mathematics, assessment and evaluation, management of the classroom, talented pupils, didactic of mathematic and its historical development.
Student acquires knowledge (a) types and solution methods of word problems in primary mathematics, (b) about possible ways of interpretation of geometry and (c) competence in elaboration of solution procedures and geometrical concepts for the school education, in diagnosis and evaluation of pupil's performance.
Prerequisites
DMAK1
KMA/DMAK1

Assessment methods and criteria
Oral examination, Essay, Student performance assessment, Didactic test

Active participation in seminars, seminar work and its presentation, oral exam.
Recommended literature
  • RVP ZV - dostupné na http://www.vuppraha.cz/soubory/RVPZV_2007-07.pdf.
  • Učebnice, pracovní sešity, metodické příručky pro matematiku pro 1. stupeň ZŠ.
  • BATTISTA, M.T.:. The development of geometric and spatial thinking. In F.K. Lester, Jr. (ed.) Second Handbook of research on mathematics teaching and learning. Charlotte : Information Age Publishing., str. 843-908. 2007.
  • DIVÍŠEK, J. A KOL.:. Didaktika matematiky pro studium učitelství pro 1. stupeň ZŠ. Praha : SPN. 250 stran. 1989.
  • HEJNÝ, M., KUŘINA, F.:. Dítě, škola, matematika. Konstruktivistické přístupy k vyučování. (Child, School, Math. Constructive Approaches to the Mathematics Education.) Praha : Portál, 165 stran. 2001.
  • LESH, R., ZAWOJEWSKI, J.:. Problem solving and modeling. In F. K. Lester, Jr. (Ed.) Second Handbook of research on Mathematics teaching and learning. Charlotte (USA) : Information Age Publishing, 763-804. 2007.


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): Teaching for the First level of primary school (1) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Teaching for the First level of primary school (2) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: Summer