School geometry Field of study: Mathematics
Programme code: W4-S1MT19.2023

Module name: School geometry
Module code: W4-MT-S1-23-GSzk
Programme code: W4-S1MT19.2023
Semester: winter semester 2024/2025
Language of instruction: Polish
Form of verification: course work
ECTS credits: 3
Purpose and description of the content of education:
Celem przedmiotu jest zapoznanie studentów z podstawowymi zagadnieniami geometrii klasycznej, w zakresie niezbędnym do nauczania geometrii w szkole i przygotowywania uczniów do startów w konkursach i olimpiadach przedmiotowych w zakresie szkoły podstawowej. W ramach kursu przewiduje się realizację następujących treści programowych: 1. Geometria w szkole na etapie przeddefinicyjnym. 2. Podstawowe figury i bryły geometryczne, wielokąty i wielościany oraz ich własności. 3. Przekształcenia geometryczne. 4. Dowodzenie w geometrii szkolnej. 5. Geometria euklidesowa a geometrie nieeuklidesowe.
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
student zna podstawowe pojęcia (obiekty, przekształcenia, twierdzenia) geometryczne, potrafi się nimi posługiwać w mowie i piśmie [GSzk_01]
 K_W04 [3/5] K_W05 [3/5] K_U01 [3/5]
student zna schematy dowodów kluczowych twierdzeń omówionych na wykładzie [GSzk_02]
 K_W02 [3/5] K_W04 [3/5] K_W05 [3/5]
student wie o istnieniu geometrii nieeuklidesowych [GSzk_03]
 K_W04 [2/5]
student zna podstawy geometrii euklidesowej, zna własności podstawowych figur i brył geometrycznych [GSzk_04]
 KN.2023_W14 [3/5] KN.2023_U03 [2/5]
student potrafi zastosować poznane narzędzia geometryczne w zadaniach i sytuacjach problemowych [GSzk_05]
 KN.2023_W15 [2/5] KN.2023_U03 [2/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [01] 15 Description [a03] 
Explanation/clarification [a05] 
Lecture-discussion [b02] 
Screen presentation [c07] 
Working with a computer [d01] 
Self-education [f01] 
Individual work with a text [f02]  		course work GSzk_01 GSzk_02 GSzk_03 GSzk_04
discussion classes [02] 30 Explanation/clarification [a05] 
Activating method – peer learning [b08] 
Demonstration-imitation [c06] 
Working with another teaching tool [d03] 
Laboratory exercise / experiment [e01] 
Self-education [f01] 
Individual work with a text [f02]  		course work GSzk_01 GSzk_04 GSzk_05
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Search for materials and review activities necessary for class participation [a01] Preparation for classes
reviewing literature, documentation, tools and materials as well as the specifics of the syllabus and the range of activities indicated in it as required for full participation in classes
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Developing practical skills [a03] Preparation for classes
activities involving the repetition, refinement and consolidation of practical skills, including those developed during previous classes or new skills necessary for the implementation of subsequent elements of the curriculum (as preparation for class participation)
Consulting materials complementary to those indicated in the syllabus [a04] Preparation for classes
agreeing on materials complementary to those indicated in the syllabus, supporting the implementation of tasks resulting from or necessary for class participation
Getting acquainted with the syllabus content [b01] Consulting the curriculum and the organization of classes
reading through the syllabus and getting acquainted with its content
Verification / adjustment / discussion of syllabus provisions [b02] Consulting the curriculum and the organization of classes
consulting the content of the syllabus, possibly in the presence of the year tutor or members of the class group, and, if necessary, reassessing the provisions concerning special conditions for class participation, e.g., space and time requirements, technical and other requirements, including conditions for participation in classes outside the walls of the university, classes organized in blocks, organized online, etc.
Studying the literature used in and the materials produced in class [c02] Preparation for verification of learning outcomes
exploring the studied content, inquiring, considering, assimilating, interpreting it, or organizing knowledge obtained from the literature, documentation, instructions, scenarios, etc., used in class as well as from the notes or other materials/artifacts made in class
Implementation of an individual or group assignment necessary for course/phase/examination completion [c03] Preparation for verification of learning outcomes
a set of activities aimed at performing an assigned task, to be executed out of class, as an obligatory phase/element of the verification of the learning outcomes assigned to the course
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)