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Course, academic year 2012/2013
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Didactics of mathematics I - NDIM012
Title: Didaktika matematiky I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2009 to 2014
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Jarmila Robová, CSc.
Teacher(s): doc. RNDr. Jarmila Robová, CSc.
Classification: Mathematics > Didactics of Mathematics
Annotation -
Objectives and content of arithmetic and algebra at the second level primary schools and the corresponding lower grade of high schools.
Last update: ROBOVA/MFF.CUNI.CZ (12.02.2010)
Aim of the course -

The course helps to acquire the theoretical background for teaching mathematics in primary school and lower grade of high school.

Last update: ROBOVA/MFF.CUNI.CZ (12.02.2010)
Literature -

Literature (only in Czech):

Hejný, M. a kol. Teória vyučovania matematiky 2.

Odvárko, O. a kol. Metody řešení matematických úloh.

Soubor učebnic matematiky, pracovních sešitů a metodických příruček pro učitele pro 6. až 9. ročník základní školy.

Soubor učebnic matematiky pro nižší ročníky víceletých gymnázií.

Školské dokumenty, vzdělávací programy v matematice.

Doplňková literatura (časopisy pro učitele matematiky a jejich žáky - Učitel matematiky, Matematika-fyzika-informatika, Rozhledy matematicko-fyzikální).

Last update: ROBOVA/MFF.CUNI.CZ (12.02.2010)
Teaching methods -

Seminar.

Last update: ROBOVA/MFF.CUNI.CZ (12.02.2010)
Syllabus -

Numbers and number fields (natural numbers, whole, decimal, fractions and rational numbers, real numbers - motivation, methods of implementation, operations and their properties, divisibility of natural numbers).

Powers (the square and cube root, computing power with natural exponent).

Expressions and their simplification (numerical expressions, terms with variables, operations with expressions).

Percentage (ways of introducing, counting with percentage).

Linear equations, inequalities and their systems (equality and equation, equivalence transformations, graphic and algebraic solutions, expression of unknown from formula).

Direct proportionality (ratio, progressive ratio), inverse proportionality, linear functions, quadratic functions, absolute value, trigonometric functions (methods of introduction, graphs of functions).

Last update: ROBOVA/MFF.CUNI.CZ (12.02.2010)
 
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