|Course title||Mathematic didactic I|
|Organizational form of instruction||Lecture + Seminary|
|Level of course||Master|
|Year of study||not specified|
|Number of ECTS credits||3|
|Language of instruction||Czech|
|Status of course||Compulsory|
|Form of instruction||unspecified|
|Recommended optional programme components||None|
1. Mathematics, mathematics didactics, constructivism. Number sense. Introduction of numbers. Number ranges in primary grades. Different modes of representation. Big numbers. Introduction, representation of number relationships. Equality, inequality. Whole numbers. Integers. Rational numbers. Rounding. Expression of a quantity in position system. Decimal position system. 2. Test. Addition and subtraction (understanding, modes of representation, contexts, ways of counting). Multiplication and division (understanding, modes of representation, contexts, ways of counting). Properties of arithmetic operations with whole numbers (introduction on primary school level, modes of representation, "proofs", use in mental arithmetic). Pre-algebraic thinking. 3. Written additions and subtraction. Historical algorithms. Written multiplication and division. Estimations. Calculators. 4. Handling data. Tables and graphs. Computer aided mathematics on primary school level.
|Learning activities and teaching methods|
|Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)|
The aim of the subject: - equipped the student with knowledge dealing with: development of number concept of the children, introduction of the basis and attributes of the basic arithmetic operations, practising the computation, use of different models, development of (pre-)algebraic thinking, handling data; - development of subject didactic competence of future primary mathematics teacher (especially formulation of problems, communication with pupils).
Student acquires (a) knowledge about mathematical concepts developed on primary school level (whole numbers and arithmetic operations: addition, subtraction, multiplication, division), their mathematical background, order in learning and relationships; (b) competence in elaboration of mathematical concepts for the school education, (c) competence in diagnosis and evaluation of pupil's performance.
Aritmetics III -KMA/ARIK3
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|Assessment methods and criteria|
Essay, Student performance assessment, Didactic test
Active participation in seminars, seminar work and its presentation.
|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: Winter|
|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: Winter|