Methodology of Geometry Teaching

elective courses

The course presents a wide variety of methods for teaching geometry at primary and secondary school level.

The course presents a wide variety of methods for teaching geometry at primary and secondary school level. The following topics will be discussed:

- Geometric constructions

- Transformations of the plane

- Measuring figures

- Triangle properties

- Quadrilaterals and circles

- The theorem on parallel lines cutting an angle and its consequences

- The power of a point with respect to a circle and its applications

- Straight lines and planes in space. Angles in space

- Polyhedrons.

References will be given at the first meeting.

(Each effect is followed by the code of the corresponding requirement of the Teachers' Education Standard)

In the scope of knowledge a graduate knows:

the national curriculum of mathematics in the scope of the school geometry, the teaching objectives and the content knowledge at different education levels (D.1/E.1.W2.);

methods of teaching of school geometry - substantive and methodical solutions, good practices, how to adapt the teaching to needs and abilities of students of divirsified learning potentials, typical students' errors, their role and how to makee use of them while teaching (D.1/E.1.W6.);

the need to build a positive attitute of students towards studying, developing their curiosity, activity and coginitive independence, logical and critical thinking, to build the motivation to learn mathematics in a systematic way, to use different knowlegde sources, incuding the Internet and to prepare students for life-long learning through self-reliant learning (D.1/E.1.W15.);

In the scope of skills a graduate can:

identify typical school exercises with the learning objectives, in particular with the general requirements of the national curriculum and with the key competemces (D.1/E.1.U1.);

identify the school geometry topics with other learning content topics (D.1/E.1.U3.);

addopt the communication style to the level of development of his/her students (D.1/E.1.U4.);

create didactical situations invoking students' activity and aimed at broadening of their interests and at the knowledge popularization (D.1/E.1.U5.);

recognize typical students' errors and use them in the teaching practice (D.1/E.1.U10.).

In the scope of social competences, a graduate is ready:

to popularize knowledge among students, within and outside the school (D.1/E.1.K2.);

to encourage students to research attempts (D.1/E.1.K3.);

to promote a responsible and critical use of digital media and to obey the copyright laws (D.1/E.1.K4.);

to develop students' curiosity, activity and cognitive independence as well as the logical and critical thinking (D.1/E.1.K7.);

to stimulate students to life-long learning through self-reliant learning (D.1/E.1.K9.).

1. In order to pass the course, a student must properly edit formulations and solutions for a number of elementary geometric problems.

2. During the exam, a student must solve a number of geometric problems selected by the lecturer mainly from a list of problems discussed at exercise sessions of the course.

3. During the exam, a student may be asked to demonstrate her/his ability to draw three-dimensional shapes appearing in geometric problems.