English
Vizuelna matematika u praksi
start.jpg

Osnovni cilj Letnje škole vizuelne matematike i obrazovanja koja se održala u julu 2013. godine u Egeru, bio je da pokaže nove načine održavanja nastave matematike: metode, softver, igre, igračke, materijale. Zahvaljući eksperimentalnom pristupu, verujemo da ćemo deci učenje matematike učiniti lakšim i zanimljivijim. Nakon održane Letnje škole, zamolili smo nastavnike matematike koji su je pohađali, da pokušaju da primene u svojoj nastavi nove metode koje su naučili. Učesnici letnje škole koristili su različite teme i metode na veoma kreativan način. Ovde možete pronaći plan predavanja i kompletan materijal za časove počev od 4 razreda osnovne škole do završnog razreda srednje škole. Možete pronaći tematske jedinice i imena nastavnika koji su ih prezentovali – nemojte se ustručavati da i samostalno pokušate!

Osnovna škola
4th classfelsMake your own Pirot rug!
a lesson for adding fractions by Ivana Karajovic

pdf [lesson plan] [presentation] [supplement]

felsMeowmatics
a lesson for nonstandard problems by Dejana Vojinović

pdf [lesson plan] [supplement]

felsRectangle and square
a lesson for geometrical figures by Ljiljana Vračar

pdf [lesson plan] [presentation]

5th classfelsAddition and substraction of fractions
a lesson for fractions by Ljiljana Vračar

pdf [lesson plan] [supplement]

felsAngle-a-trons (angle models made of paper)
a lesson for angles by Anica Trickovic

pdf [lesson plan]

felsAlice in Setland
a lesson for sets by Dejana Vojinovic

pdf [lesson plan]

felsCeltic knots
a lesson for divisibility of positive integers by Dejana Vojinović

pdf [lesson plan] [supplement]

felsNumber 1001
a lesson for prime factorization by Dejana Vojinović

pdf [lesson plan] [supplement]

felsTypes of angles
a lesson for angles by Diana Pavlovic

pdf [lesson plan] [presentation]

6th classfelsCharacteristics of quadrilaterals
a lesson for quadrilaterals by Mirjana Rasic Mitic

pdf [lesson plan] [supplement]

felsMeasuring the area of a square
a lesson for area of a square by Silvana Zivkovic

pdf [lesson plan] [presentation]

felsSymmetry
a lesson for polygons by Nebojša Nikolić

pdf [lesson plan] [presentation]

7th classfelsGolden ratio
a lesson by Mirjana Rasic Mitic

pdf [lesson plan]

felsHow the tree grows?
a lesson for Pythagorean theorem by Ivana Karajovic

pdf [lesson plan]

felsInspired by Pythagoras
a lesson for Pythagorean theorem by Mirjana Rasic Mitic

pdf [lesson plan]

felsMotion 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

pdf [lesson plan] [supplement]

felsOperations with degrees
a lesson for degrees by Mirjana Rasic Mitic

pdf [lesson plan] [supplement]

felsPolygons
a lesson for polygons by Diana Pavlovic

pdf [lesson plan] [presentation]

felsPythagoras and fractals
a lesson for polygons by Nebojša Nikolić

pdf [lesson plan] [presentation]

felsRectangular coordinate system
a lesson for introduction to the rectangular coordinate system by Mirjana Rasic Mitic

pdf [lesson plan]

felsTreasure hunt
a lesson for coordinate system by Mirjana Rasic Mitic

pdf [lesson plan] [supplement]

8th classfelsArea of prism
a lesson for prisms–net, area and volume by Katarina Ivanovic

pdf [lesson plan]
ppt-pps [supplement] [supplement] [supplement] [supplement] [supplement]

felsNet, area and volume of prism
a lesson for prisms–net, area and volume by Katarina Ivanovic

pdf [lesson plan]

felsNet, area and volume of Tetrahedron thru fractals
a lesson for Sierpinski pyramid and triangle by Katarina Ivanovic

pdf [lesson plan] [supplement]

felsPrism
a lesson for geometric solids by Mirjana Rasic Mitic

pdf [lesson plan]

Srednja škola
1st classfelsGolden ration
a lesson by Vesna Babović

pdf [lesson plan]

felsInteresting geometry
a lesson for introducing geometry by Olivera Mihailović

pdf [lesson plan] [presentation]

felsIsometries – connections between mathematics and the arts
a lesson for isometric transformations by Jasna Marković

pdf [lesson plan]

felsMake your own Geometry Magnet!
a lesson by Anđelka Mustur

pdf [lesson plan]

felsMathematical logic - operations
a lesson by Silvia Nadj

pdf [lesson plan]

felsNumbers
a lesson by Valentina Kreculj Terjeskova

pdf [lesson plan]

felsOptical ornaments
a lesson for mathematics and art by Andjelka Simic

pdf [lesson plan]

felsSymmetry
a lesson for isometric transformations by Andjelka Simic

pdf [lesson plan]

felsSymmetry all around us
a lesson for isometric transformations by Maja Madzarac

pdf [lesson plan]

felsSymmetry, translation and rotation
a lesson for isometric transformations by Tatjana Stanković

pdf [lesson plan]

2nd classfelsArea of a complex figure
a lesson for area figures in the plane by Mileva Jelić

pdf [lesson plan]

felsArt installation DECODING - connection between mathematics and the arts
a lesson by Milena Ristić

pdf [lesson plan] [presentation]

felsComplex numbers
a lesson by Silvia Nadj

pdf [lesson plan]

felsConstruct a labyrinth
a lesson by Branislava Jakovljević and Radmila Radojević

pdf [lesson plan] [presentation]

felsExponential functions
a lesson for exponential functions and their properties by Svetlana Stanojević Petrović

pdf [lesson plan]
ggb [geogebra file]

felsGraphs of trigonometric functions
a lesson for trigonometry by Mileva Jelić

pdf [lesson plan]
zip [supplement] - Compressed Geogebra files

felsGraphs of trigonometric functions, properties
a lesson for trigonometry by Tatjana Stanković

pdf [lesson plan]

felsIntroduction to Quadratic Function
a lesson by Mirjana Jovanović

pdf [lesson plan]
xps [supplement]
zip [supplement] - Compressed Geogebra files

felsMathematical clock
a lesson for extraction of root by Nada Jocic

pdf [lesson plan]

felsProperties of Trigonometrical functions with Geogebra
a lesson for trigonometry by Tatjana Stanković

pdf [lesson plan]

felsQuadratic functions
a lesson for quadratic functions and their properties by Irena Sudarević

pdf [lesson plan]
ggb [geogebra file]

felsSin function
a lesson for trigonometry by Radoslava Srđenović

pdf [lesson plan]
ggb [geogebra file]

felsThe application of trigonometry
a lesson for trigonometry by Radivoje Stojkovic and Jasminka Radovanovic

pdf [lesson plan]
zip [supplement] - Compressed Geogebra files

3rd classfelsApplications of parabolas
a lesson for parabola by Igor Kuleba and Radmila Radojević

pdf [lesson plan]

felsArithmetic progression
a lesson for mathematical progression by Tatjana Kukic

pdf [lesson plan] [supplement]

felsArithmetic progression (systematization of topic by using crocheting patterns)
a lesson for progressions by Milena Životić Ilić and Ivana Đokić

pdf [lesson plan] [supplement]

felsAxial reflection and plane mirror reflection in analytic geometry
a lesson for analytic geometry by Zorica Marinković and Biljana Stojičić

pdf [lesson plan]

felsCurves
a lesson by Branislava Jakovljević and Radmila Radojević

pdf [lesson plan]

felsExercise: Equation of line. Distance between two points. Conditions of parallelism and ortogonality (using Geogebra)
a lesson for alalytic geometry by Milena Životić

pdf [lesson plan]
zip [supplement] - Compressed Geogebra files

felsGeogebra online - trigonometry
a lesson for trigonometry by Vesna Babović

pdf [lesson plan]

felsExhibition inspired by "Mirror curves and Celtic Knots"
a description by Zorica Marinkovic

pdf [description]

felsIn the world of combinatory through travelling, without formulas
a lesson plan by Vesna Babović

pdf [description]
ppt-pps [presentation]

felsPlatonic solids
a lesson for polyhedra by Milica Gladovic

pdf [lesson plan]

felsPlatonic solids
a lesson for polyhedra by Valentina Kreculj Terjeskova

pdf [lesson plan]

felsPyramid and its straight sections, truncated pyramid
a lesson for polyhedra by Valentina Kreculj Terjeskova

pdf [lesson plan]

felsPolyhedrons, introductions
a lesson for polyhedra - area and volume by Natalija Budinski

pdf [lesson plan] [presentation]

felsPlato solids – connecting mathematics to ecology, electrical engineering, economy
a lesson for Plato solids by Stanković Tatjana, Ljiljana Djuretanović and Nada Ranković

pdf [lesson plan]

felsProgramming labyrinth
a lesson for polyhedra by Relja Ćurčin

pdf [lesson plan]

felsThe five Platonic solids
a lesson for polyhedra by Anđelka Mustur

pdf [lesson plan]

felsThe regular polyhedra, Platonic solids
a lesson for polyhedra by Andjelka Simic

pdf [lesson plan]

felsThe search for the fractal structures in the cultural heritage
a lesson for fractal structures by Milena Jeretin

pdf [lesson plan]

felsVisualization of the Platonic solids
a lesson for regular polyhedron by Sonja Sumonja

pdf [lesson plan]

4th classfelsDefinite integrals and the Fundamental theorem of Calculus
a lesson for definite integrals by Radoslava Srđenović

pdf [lesson plan]
ggb [geogebra file]

felsFinancial mathematics: Credit, Fixed annuities
a lesson for credit, fixed annuities by Olivera Mihailovic

pdf [lesson plan]
xls [supplement]

felsInspired by Escher
a lesson for tessellation in art and everyday life by Mirjana Jovanović

pdf [lesson plan] [article]

felsMaking labyrinths
a lesson by Katarina Sabo

pdf [lesson plan]

felsPuzzle solving problems
a lesson by Katarina Sabo

pdf [lesson plan]

felsPolyhedron (systematization of topic by contstructing Polyhedron using Modular Origami)
a lesson for polyherda by Milena Životić

pdf [lesson plan] [supplement] [supplement]

felsThe definite integral
a lesson for the concept and definition of definite integral by Irena Sudarević

pdf [lesson plan]
ggb [geogebra file]