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Lecturer(s)
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Honzík Lukáš, PhDr. Ph.D.
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Königsmarková Soňa, Mgr. et Mgr. Ph.D.
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Pinkrová Zuzana, Mgr.
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Hora Jaroslav, Doc. RNDr. CSc.
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Course content
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1. Propositional calculus in primary and secondary schools 2. Basics of set theory 3. Number fields, their introduction and gradual extension 4. Algebraic expressions 5. Equations and inequations 6. Vectors 7. Analytical geometry 8. Conic sections 9. Elementary functions
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Learning activities and teaching methods
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Interactive lecture, Lecture supplemented with a discussion, Lecture with practical applications, E-learning, Collaborative instruction, Cooperative instruction, Seminar classes
- Preparation for formative assessments (2-20)
- 8 hours per semester
- Contact hours
- 39 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
- unspecified
- 15 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| achieve a high school level of mathematical knowledge |
| Skills |
|---|
| achieve a high school level of mathematical skills |
| Competences |
|---|
| N/A |
| learning outcomes |
|---|
| Knowledge |
|---|
| understand the concept of a statement and be able to explain it |
| define the concept of a set and describe individual set operations |
| define different number fields and describe their properties |
| explain the concept of an equation/inequality and describe the procedure for solving it |
| understand the concept of a vector |
| define the concepts of a conic, circle, ellipse, hyperbola, parabola |
| Skills |
|---|
| work with statements and propositional forms |
| apply theoretical knowledge about sets, set operations and Venn diagrams |
| modify and simplify algebraic expressions |
| choose effective strategies for solving equations and inequalities |
| perform basic operations with vectors |
| solve given problems using analytic geometry |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Practicum |
| Lecture |
| Textual studies |
| Self-study of literature |
| Skills |
|---|
| Practicum |
| Skills demonstration |
| One-to-One tutorial |
| Competences |
|---|
| Lecture |
| Practicum |
| Self-study of literature |
| assessment methods |
|---|
| Knowledge |
|---|
| Test |
| Skills demonstration during practicum |
| Self-evaluation |
| Continuous assessment |
| Skills |
|---|
| Test |
| Skills demonstration during practicum |
| Self-evaluation |
| Continuous assessment |
| Competences |
|---|
| Test |
| Skills demonstration during practicum |
| Self-evaluation |
| Continuous assessment |
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Recommended literature
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učebnice pro gymnázia např. vydavatelství Prometheus.
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Delventhal, Katka Maria; Kissner, Alfred; Kulick, Malte. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. V Praze : Euromedia Group - Knižní klub, 2004. ISBN 80-242-1227-7.
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Polák, J. Přehled středoškolské matematiky.. Praha : Prometheus, 2008. ISBN 978-80-7196-356-1.
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Polák, J. Středoškolská matematika v úlohách II.. Praha, 2011. ISBN 978-80-7196-419-.
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Polák, J. Středoškolská matematika v úlohách I.. Praha, 2006. ISBN 978-80-7196-337-0.
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