Teaching Methods of Mathematics and Physics III
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Course code
MLM7306.DT
old course code
MLM7306
Course title in Estonian
Matemaatika ja füüsika õpetamise metoodika III
Course title in English
Teaching Methods of Mathematics and Physics III
ECTS credits
5.0
Assessment form
Examination
lecturer of 2023/2024 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
To introduce the structure, content, concepts addressed and the teaching methodology of the mathematics and physics courses in basic-school stage II and III study;
to address the concepts of school mathematics and physics in depth and to introduce the methods of solving the exercises thereof;
to introduce the methods of teaching the concepts related to measurement and geometry;
to draw parallels between the topics of school mathematics and school physics;
to encourage willingness in students to work as a teacher in the corresponding stage of study;
to give an overview of theoretical and practical skills; skills for working with various means (incl. different IT equipment, environment, and the like), literature, curriculum and study literature;
to further the development of an ability to use different methods of teaching physics and elements of general didactics applied in the world on the basis of the specific subject;
to facilitate the development of an understanding of the basic principles of classical thermodynamics at a microscopic level;
to further the development of in-depth knowledge of the second law of thermodynamics as a universal law;
to support the acquisition of basic knowledge of statistical physics and micro-level implementation thereof.
Brief description of the course
The subject shall be passed in parallel with the mathematics subject “Plane and Spatial Geometry” and the physics subject “Optics and Structure of Matter”.
The fundamentals of measurement. Systems of units of measurement. Statistical surveys. The concept of probability.
Metric relations in polygons; similar and congruent polygons. Circle. Right triangle trigonometry. Technical drawings using a compass and a ruler. Polyhedrons and solids of revolutions, and their areas and volumes.
Objectives of geometry teaching in basic schools, a propaedeutic and systematic geometry course. Proving in school mathematics. Development of statistical thinking, statistics and probability theory in basic schools.
Basic concepts of atomic physics: Bohr atomic model, quantum-mechanical model of the atom, X radiation, Moseley's law. Basis concepts of nuclear physics: radioactivity, composition of the atomic nucleus, nuclear forces, nuclear binding energy, nuclear reactions. Elementary particles. Interaction of radiation and matter, measurement of radioactive radiation.
Elements of probability theory. Concepts of quantum mechanics. Entropy and equilibrium distributions. Clausius inequality. Energy conservation efficiency of a heat engine. Physical significance of entropy. Fermi-Dirac distribution, Bose-Einstein distribution, classical distribution, Maxwell distribution of velocities. Classical ideal gas. Intramolecular degrees of freedom. Planck distribution of heat capacity, applications of Planck distribution. Thermodynamic potentials.
Learning outcomes in the course
Upon completing the course the student:
Having successfully passed the subject the student:
is familiar with the main concepts of elementary geometry, is able to explain the theorems addressed within the course; is able to solve exercises in elementary physics; is able to explain the ideas of solving construction exercises; is able to apply the concepts of plane geometry in solving simpler exercises in spatial geometry.
is aware of the factors impacting on teaching of physics and the developments in the teaching of physics in Estonia and the world;
is able to attract the students' to specialities related to physics, to draw parallels between everyday phenomena and the material learnt;
is able to apply knowledge of statistics in analysing problems related to thermodynamics;
is able to describe thermodynamic systems at a microscopic level using the methods of statistical physics;
is able to use the measuring instruments applied in applied in radiation physics, measure the radioactivity of preparations and use protective means;
is able to create and solve problems in an area related to the structure of matter;
is familiar with the methods of teaching measurement, is able to apply the methods in teaching both mathematics and physics;
is familiar with methods of teaching concepts of geometry included in the curriculum and of solving related exercises;
is able to prove the theorems included in mathematics courses in basic school;
Teacher
lekt Tiiu Kaljas, Berit Väli
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