Visual Mathematics in Practice
The main goal of the Summer School for Visual Mathematics and Education in July 2013, Eger, was to show new ways in teaching mathematics: methods, software, games, toys, materials. With the help of this experimental view of mathematics education, we believe, we can make it easier and more joyful for our pupils to learn mathematics. After taking part in the Summer School, we asked our teachers-in-practice to try out the new methods they’ve learned, in real teaching situations. The participants used the various topics and methods of the summer school creatively. Here you can find the lesson plans and teaching materials: there are lessons from 4th grade of primary school to the last years of secondary school. After every grade you can find the theme of the lesson and the colleague’s name who presented, – so don’t hesitate to try it out yourself!
Primary school
| 4th class |  | Make your own Pirot rug! a lesson for adding fractions by Ivana Karajovic |
[ | Meowmatics a lesson for nonstandard problems by Dejana Vojinović |
| Rectangle and square a lesson for geometrical figures by Ljiljana Vračar |
| 5th class | | Addition and substraction of fractions a lesson for fractions by Ljiljana Vračar |
| Angle-a-trons (angle models made of paper) a lesson for angles by Anica Trickovic |
| Alice in Setland a lesson for sets by Dejana Vojinovic |
| Celtic knots a lesson for divisibility of positive integers by Dejana Vojinović |
| Number 1001 a lesson for prime factorization by Dejana Vojinović |
| Types of angles a lesson for angles by Diana Pavlovic |
| 6th class | | Characteristics of quadrilaterals a lesson for quadrilaterals by Mirjana Rasic Mitic |
| Measuring the area of a square a lesson for area of a square by Silvana Zivkovic |
| Symmetry a lesson for polygons by Nebojša Nikolić |
| 7th class | | Golden ratio a lesson by Mirjana Rasic Mitic |
| How the tree grows? a lesson for Pythagorean theorem by Ivana Karajovic |
| Inspired by Pythagoras a lesson for Pythagorean theorem by Mirjana Rasic Mitic |
| Motion in a straight line under constant acceleration (area under the line on the motion diagram) a lesson for motion - the travelled distance by Silvana Zivkovic |
| Operations with degrees a lesson for degrees by Mirjana Rasic Mitic |
| Polygons a lesson for polygons by Diana Pavlovic |
| Pythagoras and fractals a lesson for polygons by Nebojša Nikolić |
| Rectangular coordinate system a lesson for introduction to the rectangular coordinate system by Mirjana Rasic Mitic |
| Treasure hunt a lesson for coordinate system by Mirjana Rasic Mitic |
| 8th class | | Area of prism a lesson for prisms–net, area and volume by Katarina Ivanovic
|
[ | Net, area and volume of prism a lesson for prisms–net, area and volume by Katarina Ivanovic |
| Net, area and volume of Tetrahedron thru fractals a lesson for Sierpinski pyramid and triangle by Katarina Ivanovic |
| Prism a lesson for geometric solids by Mirjana Rasic Mitic |
Secondary school
| 1st class | | Golden ration a lesson by Vesna Babović |
| Interesting geometry a lesson for introducing geometry by Olivera Mihailović |
| Isometries – connections between mathematics and the arts a lesson for isometric transformations by Jasna Marković |
| Make your own Geometry Magnet! a lesson by Anđelka Mustur |
| Mathematical logic - operations a lesson by Silvia Nadj |
| Numbers a lesson by Valentina Kreculj Terjeskova |
| Optical ornaments a lesson for mathematics and art by Andjelka Simic |
| Symmetry a lesson for isometric transformations by Andjelka Simic |
| Symmetry all around us a lesson for isometric transformations by Maja Madzarac |
| Symmetry, translation and rotation a lesson for isometric transformations by Tatjana Stanković |
| 2nd class | | Area of a complex figure a lesson for area figures in the plane by Mileva Jelić |
| Art installation DECODING - connection between mathematics and the arts a lesson by Milena Ristić |
| Complex numbers a lesson by Silvia Nadj |
| Construct a labyrinth a lesson by Branislava Jakovljević and Radmila Radojević |
| Exponential functions a lesson for exponential functions and their properties by Svetlana Stanojević Petrović |
[ | Graphs of trigonometric functions a lesson for trigonometry by Mileva Jelić
|
[ | Graphs of trigonometric functions, properties a lesson for trigonometry by Tatjana Stanković |
| Introduction to Quadratic Function a lesson by Mirjana Jovanović
|
[ | Mathematical clock a lesson for extraction of root by Nada Jocic |
| Properties of Trigonometrical functions with Geogebra a lesson for trigonometry by Tatjana Stanković |
| Quadratic functions a lesson for quadratic functions and their properties by Irena Sudarević |
| Sin function a lesson for trigonometry by Radoslava Srđenović |
| The application of trigonometry a lesson for trigonometry by Radivoje Stojkovic and Jasminka Radovanovic
|
| 3rd class | | Applications of parabolas a lesson for parabola by Igor Kuleba and Radmila Radojević |
| Arithmetic progression a lesson for mathematical progression by Tatjana Kukic |
| Arithmetic progression (systematization of topic by using crocheting patterns) a lesson for progressions by Milena Životić Ilić and Ivana Đokić |
| Axial reflection and plane mirror reflection in analytic geometry a lesson for analytic geometry by Zorica Marinković and Biljana Stojičić |
| Curves a lesson by Branislava Jakovljević and Radmila Radojević |
| Exercise: Equation of line. Distance between two points.
Conditions of parallelism and ortogonality (using Geogebra) a lesson for alalytic geometry by Milena Životić
|
| Geogebra online - trigonometry a lesson for trigonometry by Vesna Babović |
| Exhibition inspired by "Mirror curves and Celtic Knots" a description by Zorica Marinkovic |
| In the world of combinatory through travelling, without formulas a lesson plan by Vesna Babović |
| Platonic solids a lesson for polyhedra by Milica Gladovic |
| Platonic solids a lesson for polyhedra by Valentina Kreculj Terjeskova |
| Pyramid and its straight sections, truncated pyramid a lesson for polyhedra by Valentina Kreculj Terjeskova |
| Polyhedrons, introductions a lesson for polyhedra - area and volume by Natalija Budinski |
| Plato solids – connecting mathematics to ecology, electrical engineering, economy a lesson for Plato solids by Stanković Tatjana, Ljiljana Djuretanović and Nada Ranković |
| Programming labyrinth a lesson for polyhedra by Relja Ćurčin |
| The five Platonic solids a lesson for polyhedra by Anđelka Mustur |
| The regular polyhedra, Platonic solids a lesson for polyhedra by Andjelka Simic |
| The search for the fractal structures in the cultural heritage a lesson for fractal structures by Milena Jeretin |
| Visualization of the Platonic solids a lesson for regular polyhedron by Sonja Sumonja |
| 4th class | | Definite integrals and the Fundamental theorem of Calculus a lesson for definite integrals by Radoslava Srđenović |
| Financial mathematics: Credit, Fixed annuities a lesson for credit, fixed annuities by Olivera Mihailovic |
[ | Inspired by Escher a lesson for tessellation in art and everyday life by Mirjana Jovanović
|
| Making labyrinths a lesson by Katarina Sabo |
| Puzzle solving problems a lesson by Katarina Sabo |
| Polyhedron (systematization of topic by contstructing Polyhedron using Modular Origami) a lesson for polyherda by Milena Životić
|
| The definite integral a lesson for the concept and definition of definite integral by Irena Sudarević |
