Course: Arithmetic II

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Course title Arithmetic II
Course code KMA/ARNK2
Organizational form of instruction Lecture + Seminary
Level of course Master
Year of study 2
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Tlustý Pavel, prof. RNDr. CSc.
  • Samková Libuše, RNDr. Ph.D.
Course content
Positional and non-positional numeral systems. Non-decimal systems. Integers, whole numbers. Word problems with whole numbers. Rational numbers (fractions, decimals, periodic numbers). Transfers between various forms of rational numbers. Operations with fractions, comparison. Word problems with fractions and ratios. Irrational numbers. Proof of irrationality. Roots and fractions containing square roots. Cardinality of Z, Q, R. Unary and binary operations and their properties. Rounding. Approximation. Precision and relative accuracy.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Skills training
Learning outcomes
Basic knowledge about integers, rational and irrational numbers. Their properties and applications.
attribution to learning and solving problems

Assessment methods and criteria
Oral examination, Written examination, Student performance assessment

effective participating during solving problems
Recommended literature
  • Bušek, Calda:. Matematika pro gymnázia --- Základní poznatky z matematiky.
  • Dlouhý:. Aritmetika a algebra.
  • Drábek, Křižalkovič, Liška, Viktora:. Základy elementární aritmetiky.
  • Hejný, Stehlíková:. Číselné představy dětí.
  • Hruša:. Aritmetika.
  • Kuřina a kol.:. Matematika a porozumění světu.
  • Kuřina, Půlpán:. Podivuhodný svět elementární matematiky.

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 (2) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter