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Course info
KMT / 9MSD2
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Course description
Department/Unit / Abbreviation
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KMT
/
9MSD2
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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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Mathematics&Its Teach.Meth.(Arithmetics)
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Form of course completion
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Exam
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Form of course completion
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Exam
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Long Title
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Mathematics and Its Teaching Methodology (Arithmetic)
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Accredited / Credits
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No,
4
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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Seminar
8
[Hours/Semester]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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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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Yes in the case of a previous evaluation 4 nebo nic.
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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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YES
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Winter semester
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17 / -
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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 + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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10
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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 |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
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 |
1|2|3|4 |
Evaluation scale for credit before examination |
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 aim of this course is to make students aware of strategies for the solution of equations and inequalities in primary school and to teach them how to use these individual strategies effectively, to familiarize students with constructivist principles within the introduction to integers in order to understand their principles, to help them understand the rules of counting in different number systems and their active use for numeric operations in primary school. In small-group work, students get experience with cooperative forms of education in mathematics, learn methods of informal education and improve their communicative skills.
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Requirements on student
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To receive credit:
Students pass one test given during the semester on the themes:
Numeric operations in different number systems
Greatest common divisor, least common positive multiple
Prime numbers
To pass exam:
Students demonstrate knowledge of theoretical principles and their ability to apply theoretical pieces of knowledge in problem solutions, can explain the solution chosen and defend their procedure.
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Content
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1. Equations and inequalities in primary school subject matter
2. Expression of a natural number in a number system
3. Numeric operations with natural numbers in the decimal system
4. Numeric operations with natural numbers in systems of base 10
5. Posibilities for the introduction of integers
6. Integral domain of integers
7. Numeric operations with integers
8. Divisibility of integers, symbols of divisibility
9. Greatest common divisor
10. Least common (positive) multiple
11. Prime numbers, prime decomposition into a product of prime numbers
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Activities
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Fields of study
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Guarantors and lecturers
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-
Guarantors:
PhDr. Šárka Pěchoučková, Ph.D. (100%),
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Lecturer:
Doc. PaedDr. Jana Coufalová, CSc. (100%),
PhDr. Šárka Pěchoučková, Ph.D. (100%),
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Seminar lecturer:
Doc. PaedDr. Jana Coufalová, CSc. (100%),
Ing. Jana Hoffmannová (100%),
Mgr. et Mgr. Jana Hoffmannová (100%),
PhDr. Šárka Pěchoučková, Ph.D. (100%),
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Literature
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Basic:
Coufalová, Jana. Matematika s didaktikou pro 1. ročník učitelství 1. stupně ZŠ. 4. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-277-2.
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Basic:
Coufalová, Jana. Matematika s didaktikou pro 2. ročník učitelství 1. stupně ZŠ. 3. vyd. Plzeň : Západočeská univerzita, 2002. ISBN 80-7082-922-2.
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Recommended:
Hejný, Milan; Kuřina, František. Dítě, škola a matematika : konstruktivistické přístupy k vyučování. Vyd. 1. Praha : Portál, 2001. ISBN 80-7178-581-4.
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Recommended:
M. Hejný a kol. Teória vyučovania matematiky 2.. Bratislava : SPN, 1990. ISBN 80-08-01344-3.
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Recommended:
Učebnice, pracovní sešity a metodické příručky matematiky pro 1. st. ZŠ.
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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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Preparation for formative assessments (2-20)
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15
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Contact hours
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39
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Preparation for an examination (30-60)
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50
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Total
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104
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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: |
Fundamental knowledge of propositional calculus, fundamental concepts of set theory and theory of relations and operations is assumed (output level of the course KMT/MSD1). There are no prerequisite courses required. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Students
- demonstrate different strategies for the solution of equations and inequalities that primary school children use,
- illustrate the counting principles in the decimal system and numeric operations in non-decimal number systems,
- apply theoretical knowledge of non-decimal number systems to mathematics education in primary school, state possibilities of the use of number systems in other science subjects,
- illustrate the fundamental principles of construction of the domain of integers and fundamental principles of constructivist concepts within the introduction of integers in primary school,
- prove their ability to find and create (word) problems with integers contributing to the integration of mathematics and nature sciences,
- state divisibility criteria of natural numbers 2, 3, 4, 5, 8, 9, 10, 11,
- distinguish individual methods of determination of the greatest common divisor and the least common positive multiple,
- identify if a given number is a prime number,
- solve practical problems through indeterminate equations and discuss other strategies suitable for primary pupils.
Above all, learning, communication, problem-solving, professional and some aspects of civic and social competencies are being developed. With respect to profession competencies of teachers, pedagogical competencies especially are being cultivated, including diagnostic and communication skills.
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture supplemented with a discussion |
Interactive lecture |
Multimedia supported teaching |
Collaborative instruction |
Cooperative instruction |
Discussion |
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