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Course info
KMA / DIM1
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Course description
Department/Unit / Abbreviation
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KMA
/
DIM1
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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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Didactics of Mathematics 1
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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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Oral
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Type of completion
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Oral
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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
|
No
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Course credit prior to examination
|
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
|
No
|
Summer semester
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0 / -
|
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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3 / -
|
0 / -
|
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
|
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
|
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 |
|
Evaluation scale |
S|N |
Periodicity |
každý rok
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Periodicita upřesnění |
|
Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
|
Evaluation scale |
S|N |
Substituted course
|
None
|
Preclusive courses
|
N/A
|
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
,
XLS
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Course objectives:
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Introduction to theoretical basics of mathematical didactics and their practical
application in secondary school mathematics.
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Requirements on student
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Active participation in tutorials (especially during simulations of the secondary school
maths lessons).
Pre-exam credit: Semestral project on a given topic (in the second week of the semester)
and one knowledge test in the scope of delivered lectures during semester.
|
Content
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1. subject and methods of mathematical didactics, mathematics as a science and as a subject
for teaching;
2. the evolution of maths teaching at our secondary schools and schools abroad, modern trends in maths
teaching;
3. fundamentals of didactics in maths teaching, ways of teaching mathematics;
4. methods in maths teaching, troubles in teaching;
5. communication in maths teaching, the language of mathematics in the school work
experience;
6. the logical structure of mathematics as a subject;
7. math problems in the middle school mathematics;
8. applications in maths teaching;
9. didactic games in maths teaching, elements of ecological education in maths teaching;
10. the use of didactic devices and computers in maths teaching;
11. the framework educational programmes for mathematics at primary and secondary schools;
12. the school educational programme for mathematics at primary and secondary schools;
13. pre-exam credit.
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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:
Polák, Josef. Didaktika matematiky I. část. 2014. ISBN 978-80-7238-449-5.
-
Basic:
Polák, Josef. Didaktika matematiky II. část. ISBN 978-80-7489-326-1.
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Basic:
Polák, J. Přehled středoškolské matematiky.. Praha : Prometheus, 2008. ISBN 978-80-7196-356-1.
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Extending:
Květoň, Pavel. Cvičení z didaktiky matematiky. Vyd. 1. Ostrava : Ostravská univerzita, 2000. ISBN 80-7042-171-1.
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Extending:
Růžičková, Bronislava. Didaktika matematiky. Olomouc : Univerzita Palackého, 2002. ISBN 80-244-0534-2.
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Extending:
Hejný, Milan. Teória vyučovania matematiky 2. 1990. ISBN 8008013443.
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Recommended:
Polák, Josef. Středoškolská matematika v úlohách I. Praha : Prometheus, 2006. ISBN 80-7169-337-2.
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Recommended:
Polák, J. Středoškolská matematika v úlohách II.. Praha : Prometheus, 1999. ISBN 80-7196-166-3.
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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]
|
Contact hours
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39
|
Preparation for comprehensive test (10-40)
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20
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Presentation preparation (report) (1-10)
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10
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Preparation for formative assessments (2-20)
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9
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Total
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78
|
|
Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
rozumět středně pokročilým teoriím z různých oblastí matematiky (matematická analýza, algebra, aritmetika, geometrie, statistika atd.) |
orientovat se v základních metodách obecné pedagogiky, psychologie a pedagogické psychologie |
vysvětlit alespoň rámcově členění českého školského systému |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
popsat a vysvětlit poznatky z různých matematických disciplín (matematická analýza, algebra, aritmetika, geometrie, statistika atd.) |
používat základní postupy z obecné pedagogiky, psychologie a pedagogické psychologie |
přiblížit odborné téma i laické veřejnosti |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
rozumět předmětu a metodám didaktiky matematiky |
orientovat se ve vývoji vyučování matematice na našich školách a v zahraničí, chápat modernizační snahy ve vyučování matematice |
vysvětlit didaktické zásady ve vyučování matematice a chápat formy vyučování matematice |
popsat metody vyučování matematice, vysvělit význam problémového vyučování |
vysvětlit význam matematických úloh, aplikací a didaktických her ve vyučování matematice |
vysvětlit problematiku rámcových a školních vzdělávacích programů v matematice na ZŠ a SŠ |
Skills - skills resulting from the course: |
používat didaktické zásady ve vyučování matematice |
správně aplikovat komunikaci ve vyučování matematice a jazyk matematiky ve školské praxi |
provádět logické strukturování matematické látky |
zařazovat vhodně zvolené matematické úlohy v konkrétních fázích vyučovacího procesu |
vykládat matematiku na střední škole s odborným nadhledem a zajímavě, včetně aplikací |
využívat didaktickou techniku a výpočetní techniku ve vyučování matematice |
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 |
Skills demonstration during practicum |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Seminar work |
Skills demonstration during practicum |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
Seminar work |
Skills demonstration during practicum |
|
Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Individual study |
Task-based study method |
Discussion |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Individual study |
Task-based study method |
Discussion |
Competences - the following training methods are used to achieve the required competences: |
Practicum |
Individual study |
Task-based study method |
Discussion |
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