Course title  Mathematic didactic I 

Course code  KMA/DMAK1 
Organizational form of instruction  Lecture + Seminary 
Level of course  Master 
Year of study  3 
Semester  Winter 
Number of ECTS credits  3 
Language of instruction  Czech 
Status of course  Compulsory 
Form of instruction  unspecified 
Work placements  unspecified 
Recommended optional programme components  None 
Lecturer(s) 


Course content 
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). Prealgebraic 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) 
Learning outcomes 
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. 
Prerequisites 
Aritmetics III KMA/ARIK3
KMA/ARIK3  or  KMA/ARNK3 
Assessment methods and criteria 
Essay, Student performance assessment, Didactic test
Active participation in seminars, seminar work and its presentation. 
Recommended literature 

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