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ECTS - PWSZ im. Witelona w Legnicy

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The Witelon University of Applied Sciences in Legnica - Field: Pedagogy<br />

<strong>ECTS</strong> Course Catalogue 2010/2011<br />

<strong>ECTS</strong> credits<br />

2<br />

1.Course title<br />

Foundation of Mathematical Education<br />

2.Course contents<br />

Lecture , Classes<br />

The nature and structure of mathematics: the notion of axiom, definition, lemma, theorem, counterexample.<br />

Mathematical logic as the language of mathematics: the wording and form of sentential, functor, tautology,<br />

necessary and sufficient condition, and command rules of inference, propositional calculus. The sets and its<br />

<strong>im</strong>portance in mathematics: finite and infinite set, and their description (the principle of induction), operations on<br />

sets, the set of natural numbers, rational, arithmetic on numbers, number systems. Relationship and its role in<br />

mathematics: selected relations, equivalence relation, partial order and order, the notion of function within.<br />

Elements of abstract algebra: the concept of operations, the algebraic structure of the numbers field example.<br />

Basics of geometry: an introduction to Euclidean geometry (axioms), line, plane, angle and its measure, a review<br />

of basic plane figures and their properties, basic geometric transformations on the plane.<br />

3.Prerequisites<br />

No requirements<br />

4.Learning outcomes<br />

The listener is familiar with the basic mathematical knowledge giving substantive preparation for the course<br />

Mathematical Education of the methodology. The student understands the basic mathematical concepts, it can<br />

clearly glorify and use basic mathematical symbols. Learns the rules and the possibility of mathematical<br />

thinking. It can define and interpret the mathematics in terms of basic phenomena of a quantitative and<br />

qualitative. He knows how to solve the basic problems encountered in the initial teaching. Students can use their<br />

knowledge to motivate students to solve mathematical problems. Acquires the ability to shape a positive attitude<br />

to mathematics student.<br />

5.Recommended reading<br />

1. Ryszard Rębowski, Matematyka dyskretna dla Informatyków, seria wydawnicza <strong>PWSZ</strong> <strong>im</strong>. <strong>Witelona</strong> w<br />

<strong>Legnicy</strong>, 2009.<br />

2. Ryszard Rębowski i Janina Płaskonka, Zbiór zadań z matematyki dyskretnej, seria wydawnicza <strong>PWSZ</strong><br />

<strong>im</strong>. <strong>Witelona</strong> w <strong>Legnicy</strong>, 2009.<br />

3. Jerzy Nowik, Kształcenie matematyczne w edukacji wczesnoszkolnej, Wydawnictwo NOWIK Sp.j.,<br />

Opole 2009.<br />

4. Podstawa Programowa Wychowania Przedszkolnego dla Przedszkoli, Oddziałów Przedszkolnych w<br />

Szkołach Podstawowych oraz Innych Form Wychowania Przedszkolnego, Dziennik Ustaw MEN dnia 15<br />

stycznia 2009 r. Nr 4, poz. 17.<br />

6.Type of course<br />

Obligatory<br />

7.Teaching team<br />

Department of Basic Science<br />

8.Course structure<br />

Form Number of hours Semester Year<br />

Lecture 15 IV 2<br />

Classes 15 IV 2<br />

Laboratory<br />

Project<br />

Seminar<br />

Other<br />

Total student’s<br />

workload<br />

9.Assessment methods<br />

Lecture-credit on the assessment, exercises to assess the credit<br />

10.Language of instruction<br />

Polish<br />

60<br />

573

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