MA0034 Physical motivation for teaching mathematics 1

Faculty of Education
Autumn 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
In-person direct teaching
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (seminar tutor)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Břetislav Fajmon, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA0034/01: Tue 18:00–19:50 učebna 24, B. Fajmon
Prerequisites
This subject does not require any special prerequisites since it picks up on the secondary school knowledge of mathematics.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
To make the students familiar with physical motivations of a number of mathematical concepts and methods; ii) to inspire future secondary school teachers of mathematics to motivate their students for mathematical studies, especially students at a grammar school; iii) to present some parts of mathematical analysis set within the framework of specific physical concepts and problems.
Learning outcomes
After a successful completion of the course, the students will be able to a) explain the physical meaning of differentiation and definite integration, understand the importance of goniometric functions for the description of real funkctions; b) see the importance of vectors and gonometric functions for the description of the position and movement of a solid; c) use physical and mathematical apparatus for the description of the movement of a solid in space (parabolic movement). d) describe moevement of a solid along a circle. e) work with Newton's laws on movement of solids, describe movement of such solids and forces involved.
Syllabus
  • The syllabus is built on physical concepts:
  • 1-2) physical concepts: movement along a straight line, average speed, immediate speed, acceleration; mathematical notions: goniometric functions of an acute angle, equation of a straight line, derivative of a function;
  • 3-4) physical concepts: scalar and vector variables, movement of a solid in space, work carried out in the movement of a solid along a straight line, torque; mathmetical concepts: degrees and arc length for description of angles, goniometric functions, vectors, vector coordinates, scalar and vector product;
  • 5-6) physical concepts: movement in a plane or in space, average and immediate speed, parabolic movement, movement along a circle; mathematical concepts: parametric and general form of a straight line in a plane; quadratic function, its graph and properties; computation of some limits (also using l'Hospital's rule);
  • 7-8) physical concepts:Newton's laws on force effects, pressure force, gravity force, resistance force, frictional force.
  • 9-10) Frictional force in movement along a straight line or along a circle.
Literature
  • HALLIDAY, David, Robert RESNICK and Jearl WALKER. Fyzika (Physics). 1st ed. Brno, Praha: Vutium, Prometheus, 2001. ISBN 80-214-1868-0. info
Teaching methods
Presentation, seminal problem solving (individually or in groups), discussion on viable teaching approach at secondary schools.
Assessment methods
The credits will be given on the basis of active participation (individually or in groups) and with 60 per cent of success at th final test.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
Teacher's information
http://matematicky.rozhovor.cz/predmety/mafy/0002matematika-a-fyzika.php
The course is also listed under the following terms Autumn 2018, Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2024/MA0034