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Main menu for Browse IS/STAG
Course info
KMA / ITG
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Course description
Department/Unit / Abbreviation
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KMA
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ITG
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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ICT in Teaching Geometry
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Form of course completion
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Pre-Exam Credit
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Form of course completion
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Pre-Exam Credit
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
1
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
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No
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Automatic acceptance of credit before examination
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No
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Included in study average
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NO
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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NO
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Winter semester
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5 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
S|N |
Periodicity |
každý rok
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Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The main aim of this course is to give students a thorough introduction to computer-assisted learning and teaching geometry and show them how to explore classical topics in geometry via interactive geometry software. Most of the topics will be learned through the student?s own discoveries. Students should gain a deeper perspective about geometry?s relationship to the world around them. The course also gives a short introduction to basic theory of modelling curves, surfaces and solids using computers.
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Requirements on student
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During semester, students have to prepare several partial homework assignments which will demonstrate knowledge of theory, constructions and practical applications. In addition, students elaborate 1-2 individual assigned projects and present them at the seminar.
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Content
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Introduction to computer visualization of curves, surfaces and solids. ICT in teaching geometry, using for training of imagination and experimentation. Creative and inventive application of programs of variational and dynamic geometry or further geometric SW (especially suitable 3D modellers). Solving classical geometric problems using computers.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Bainville, E. CABRI II Plus manuál (překlad A. Vrba). 2003.
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Basic:
Geogebra: Příručka
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Basic:
Vaníček, Jiří. Počítačové kognitivní technologie ve výuce geometrie. V Praze : Univerzita Karlova, 2009. ISBN 978-80-7290-394-8.
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Extending:
Piegl, Les; Tiller, Wayne. The NURBS book. 2nd ed. Berlin : Springer, 1997. ISBN 3-540-61545-8.
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Recommended:
Farin, Gerald. Curves and surfaces for computer-aided geometric design : a practical guide. 4th ed. San Diego : Academic Press, 1997. ISBN 0-12-249054-1.
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Recommended:
El Saddik, Abdulmotaleb. Interactive multimedia learning : shared reusable visualization-based modules : with 60 figures and 16 tables. Berlin : Springer, 2001. ISBN 3-540-41930-6.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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36
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Individual project (40)
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20
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Undergraduate study programme term essay (20-40)
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30
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Total
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86
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
rozumět základním poučkám z elementární geometrie, trigonometrie a analytické geometrie v rovině a v prostoru |
orientovat se v principechh vybrané promítací metody |
rozumět reprezentaci geometrických objektů a ovládat manipulace s nimi |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
aplikovat osvojené postupy na elementární geometrické úlohy |
analyzovat a vhodně využívat vybrané geometrické vlastnosti |
pracovat ve vhodném geometrickém SW |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
rozumět počítačovému zobrazování křivek, ploch a těles |
rozumět významu zapojení vhodného software dynamické geometrie pro modelování konstrukcí a geometrických objektů |
chápat se všemi důsledky vlastnosti a vztahy uvnitř dobře známých základních geometrických objektů |
orientovat se v možnostech zařazení ICT do výuky geometrie |
Skills - skills resulting from the course: |
používat vhodný software dynamické geometrie pro provádění konstrukcí a vizualizací geometrických objektů (křivek, ploch, těles), provádět s nimi vhodná měření a následné výpočty |
objevovat vlastnosti a vztahy základních geometrických objektů |
dle vlastní volby začít vlastní zkoumání geometricky orientovaných témat s využitím počítače |
rozpoznávat a analyzovat využití geometrie a jejích metod v nejrůznějších oborech |
aplikovat vhodné geometrické modely na řešení jednoduchých reálných problémů |
využít účelně vhodný geometrický SW pro trénování představivosti a k experimentování |
Competences - competences resulting from the course: |
N/A |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Seminar work |
Project |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Seminar work |
Project |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
Seminar work |
Project |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Lecture with visual aids |
Practicum |
Multimedia supported teaching |
Task-based study method |
Individual study |
Skills - the following training methods are used to achieve the required skills: |
Lecture |
Lecture with visual aids |
Practicum |
Multimedia supported teaching |
Task-based study method |
Individual study |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Lecture with visual aids |
Practicum |
Multimedia supported teaching |
Task-based study method |
Self-study of literature |
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