About employee

doc. dr. sc. Franka Miriam Brückler

Title: Assistant Professor
Location: 223
Public phone number:+38514605741
Internal phone number:5741
E-mail: E-mail
Official web page URL: https://web.math.pmf.unizg.hr/~bruckler/
Department: Zavod za matematičku analizu
Graduation year:1995
mr.sc. graduation year:1998
PhD graduation year:2002

Teaching

undergraduate

graduate

integrated undergraduate and graduate

Published papers recorded in the Croatian Scientific Bibliography Database

Bruckler, Franka Miriam ; Milin Šipuš, Žekljka
2022.

Bruckler, Franka Miriam ; Milin Šipuš, Željka
2022.
European journal of science and mathematics education

Jiuzhang suanshu — Nine Chapters on the Art of Calculation

Bruckler, Franka Miriam
2022.
Osječki matematički list

Bruckler, Franka Miriam ; Stilinović, Vladimir
2022.

Who discovered logarithms?

Bruckler, Franka Miriam
2022.
Matematika i škola

Bruckler, Franka Miriam ; Mijač, Filip
2022.

Who introduced the number e?

Bruckler, Franka Miriam
2022.
Matematika i škola

Who introduced the absoulute value?

Bruckler, Franka Miriam
2022.
Matematika i škola

Egyptian Fractions

Bruckler, Franka Miriam
2021.
Osječki matematički list

Bruckler, Franka Miriam
2021.
EMS magazine

Tangram and stomachion

Bruckler, Franka Miriam
2021.
Matka (Zagreb)

Football in teaching mathematics in 1st grade of primary school

Bruckler, Franka Miriam ; Mijač, Filip
2021.
Poučak : časopis za metodiku i nastavu matematike

Who was the first to use proof by mathematical induction?

Bruckler, Franka Miriam
2021.
Matematika i škola

Who introduced negative numbers?

Bruckler, Franka Miriam
2021.
Matematika i škola

Who first introduced vectors?

Bruckler, Franka Miriam
2021.
Matematika i škola

Who was the first to correctly construct the tangent to a curve?

Bruckler, Franka Miriam
2021.
Matematika i škola

Who was the first to define proportionality?

Bruckler, Franka Miriam
2021.
Matematika i škola

Pi before it was known

Bruckler, Franka Miriam
2021.
Osječki matematički list

Mathematical kitchen

Bruckler, Franka Miriam
2020.

Who was the first to notice that an infinite sum can be finite?

Bruckler, Franka Miriam
2020.
Matematika i škola

Who was the first who knew how to solve the cubic equation?

Bruckler, Franka Miriam
2020.
Matematika i škola

Who was the first to introduce zero?

Bruckler, Franka Miriam
2020.
Matematika i škola

Who first used the names of chief mathematic disciplines?

Bruckler, Franka Miriam
2020.
Matematika i škola

Who was the first to notice that infinite sets exist?

Bruckler, Franka Miriam
2020.
Matematika i škola

Who was the first to use the names of main mathematical disciplines

Bruckler, Franka Miriam
2020.
Matematika i škola

Bruckler, Franka Miriam ; Stilinović, Vladimir
2020.
The mathematical intelligencer

Mathematical Foundations of Crystallography

Bruckler, Franka Miriam
2019.

Problems from long ago

Bruckler, Franka Miriam
2018.

Geschichte der Mathematik kompakt (or two new books on history of mathematics)

Bruckler, Franka Miriam
2018.
Matematičko fizički list

Who was the first to define functions?

Bruckler, Franka Miriam
2018.
Matematika i škola

Who was the first to prove mathematical conjuctures?

Bruckler, Franka Miriam
2018.
Matematika i škola

Who was the first to denote roots by $\sqrt[n] {;;.};;$?

Bruckler, Franka Miriam
2018.
Matematika i škola

Varićak's Contributions to Three Geometries

Bruckler, Franka Miriam
2018.

Who was the first to discover complex numbers?

Bruckler, Franka Miriam
2018.
Matematika i škola

Marin Getaldić, mathematical demon

Bruckler, Franka Miriam
2018.
Dubrovnik (Matica hrvatska)

Who did first denote the unknown by x?

Bruckler, Franka Miriam
2016.
Matematika i škola

Bruckler, Franka Miriam ; Stilinović, Vladimir
2016.

Who introduced the symbols =, < and >?

Bruckler, Franka Miriam
2016.
Matematika i škola

Bruckler, Franka Miriam ; Stilinović, Vladimir
2016.

Who was the first to use the exclamation mark in maths?

Bruckler, Franka Miriam
2016.
Matematika i škola

Combinatorics in chemistry

Bruckler, Franka Miriam
2016.
Kemija u industriji : časopis kemičara i tehnologa Hrvatske

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Regular polygons (part one)

Bruckler, Franka Miriam
2015.
Matka (Zagreb)

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Regular tetrahedral frame

Bruckler, Franka Miriam
2015.
Matka (Zagreb)

Who was the first to denote infinity by oo?

Bruckler, Franka Miriam
2015.
Matematika i škola

Bruckler, Franka Miriam
2015.

Dekorativna probušena kocka

Bruckler, Franka Miriam
2015.
Matka (Zagreb)

Who did first use sine and cosine?

Bruckler, Franka Miriam
2015.
Matematika i škola

Fractions

Bruckler, Franka Miriam
2015.
Matka (Zagreb)

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Who was the first to prove that there are exactly five regular solids?

Bruckler, Franka Miriam
2015.
Matematika i škola

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Undergraduate and graduate studies of geology at the Faculty of Science of the University in Zagreb

Bruckler, Franka Miriam ; Ilišević, Dijana ; Medunić, Gordana
2015.
Matematičko fizički list

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Bruckler, Franka Miriam
2015.

Jukić Matić, Ljerka ; Bruckler, Franka Miriam
2014.

Mathematics 1 - Textbook for the 1st year of general, lingual and classical gymnasia (Part 2)

Krajina, Jagoda ; Gusić, Ivica ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Bruckler, Franka Miriam
2014.

Who was the first to use the symbols + and -?

Bruckler, Franka Miriam
2014.
Matematika i škola

Mathematical review of the Football World Cup

Bruckler, Franka Miriam
2014.
Priroda (Zagreb)

Mathematics 4 - Textbook for the 4th year of general, lingual and classical gymnasia (Part 2)

Antoliš, Sanja ; Copić, Aneta ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Mathematics 1 - Textbook for the 1st year of general, lingual and classical gymnasia (Part 1)

Krajina, Jagoda ; Gusić, Ivica ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Zašto popularizirati matematiku?

Bruckler, Franka Miriam
2014.

Popularisation of mathematics - how?

Bruckler, Franka Miriam
2014.

How to win at elections?

Bruckler, Franka Miriam
2014.

Mathematics 2 - Textbook for the 2nd year of general, lingual and classical gymnasia (Part 2)

Gusić, Jelena ; Mladinić, Petar ; Pavković, Marija ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Mathematics 3 - Textbook for the 3rd year of general, lingual and classical gymnasia (Part 1)

Špalj, Eva ; Antončić, Nevenka ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Who was the first to correctly compute the area of a figure bounded by curves?

Bruckler, Franka Miriam
2014.
Matematika i škola

Bruckler, Franka Miriam
2014.

Mathematical preparations for the Football World Cup: On simulations

Bruckler, Franka Miriam
2014.
Priroda (Zagreb)

Football after football

Bruckler, Franka Miriam
2014.
Matka (Zagreb)

Visualisation of abstract things

Bruckler, Franka Miriam
2014.

Three mutually orthogonal rectangles

Bruckler, Franka Miriam
2014.
Matka (Zagreb)

Hwo to divide an inheritance?

Bruckler, Franka Miriam
2014.

Do you love maths?

Bruckler, Franka Miriam
2014.
Priroda (Zagreb)

I love maths, and maths loves me

Bruckler, Franka Miriam
2014.
Matematičko fizički list

Robinson's rhombic dodecahedron

Bruckler, Franka Miriam
2014.
Matka (Zagreb)

Toshie's Jewel - Introduction to Sonobe-origami

Bruckler, Franka Miriam
2014.
Matka (Zagreb)

Mathematics at the 3rd Science Picnic

Bruckler, Franka Miriam
2014.
Matematika i škola

Who introduced the symbols . and :?

Bruckler, Franka Miriam
2014.
Matematika i škola

Mathematics 2 - Textbook for the 2nd year of general, lingual and classical gymnasia (Part 1)

Gusić, Jelena ; Mladinić, Petar ; Pavković, Marija ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Bruckler, Franka Miriam
2014.

Mathematics 3 - Textbook for the 3rd year of general, lingual and classical gymnasia (Part 2)

Špalj, Eva ; Antončić, Nevenka ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Mathematics 4 - Textbook for the 4th year of general, lingual and classical gymnasia (Part 1)

Antoliš, Sanja ; Copić, Aneta ; Bruckler, Franka Miriam ; Milun, Toni
2014.

Bruckler, Franka Miriam
2014.

Bruckler, Franka Miriam
2014.

Bruckler, Franka Miriam ; Humble, Steve
2014.

Mitchell's regular octahedron

Bruckler, Franka Miriam
2013.
Matka (Zagreb)

Bruckler, Franka Miriam ; Stilinović, Vladimir
2013.

Is 5 = 5, 0?

Bruckler, Franka Miriam
2013.

Bruckler, Franka Miriam ; Stilinović, Vladimir
2013.
Historia mathematica

The company of Higgs' boson

Bruckler, Franka Miriam
2013.
Hrvatska revija

How to allocate the seats in the European parliament

Bruckler, Franka Miriam
2013.
Hrvatska revija

Bruckler, Franka Miriam
2013.

Bruckler, Franka Miriam
2013.

Mitchell's regular tetrahedron

Bruckler, Franka Miriam
2013.
Matka (Zagreb)

Neale's octahedron

Bruckler, Franka Miriam
2013.
Matka (Zagreb)

How to popularise mathematics: RPA & MPE?!

Bruckler, Franka Miriam
2013.

Bruckler, Franka Miriam
2013.

Mathematical origami

Bruckler, Franka Miriam
2013.
Matka (Zagreb)

Bruckler, Franka Miriam
2013.

A mathematical Christmas gift with consequences

Bruckler, Franka Miriam
2012.
Hrvatska revija

Mathematics for chemists 1

Bruckler, Franka Miriam ; Pažanin, Igor
2012.

Bruckler, Franka Miriam
2012.

Bruckler, Franka Miriam
2012.

Bruckler, Franka Miriam
2012.

Bruckler, Franka Miriam
2012.

Bruckler, Franka Miriam ; Humble, Steve ; Santos, Sara
2012.

Four-ducks-trick

Bruckler, Franka Miriam
2012.
Matka (Zagreb)

Bruckler, Franka Miriam ; Stilinović, Vladimir
2012.

Bruckler, Franka Miriam
2012.

Mathematics for chemists 2

Bruckler, Franka Miriam ; Pažanin, Igor
2012.

Bruckler, Franka Miriam
2012.

Bruckler, Franka Miriam ; Molčanov, Krešimir
2012.

Quasicrystals – Discovery, Structure and Properties

Stilinović, Vladimir ; Bruckler, Franka Miriam
2012.
Kemija u industriji : časopis kemičara i tehnologa Hrvatske

The lost digit

Bruckler, Franka Miriam
2012.
Matka (Zagreb)

Vicković, Ivan ; Bruckler, Franka Miriam ; Đaković, Marijana
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Mathematical duels

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam ; Došlić, Tomislav ; Graovac, Ante ; Gutman, Ivan
2011.
Chemical physics letters

A one die trick

Bruckler, Franka Miriam
2011.
Matka (Zagreb)

An addition table

Bruckler, Franka Miriam
2011.
Matka (Zagreb)

Jukić, Ljerka
2011.

What are orbitals and what they should (not) be used for?

Stilinović, Vladimir ; Bruckler, Franka Miriam
2011.

Conic sections

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Geometry

Bruckler, Franka Miriam
2011.

Mathematical Physics

Bruckler, Franka Miriam
2011.

Ma

Bruckler, Franka Miriam
2011.

Contributions to didactics

Bruckler, Franka Miriam ; Kutleša, Stipe
2011.

Geometric transforms

Bruckler, Franka Miriam
2011.

Mathematical duels

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Infinity

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam
2011.

Where do you want to travel to?

Bruckler, Franka Miriam
2011.
Matka (Zagreb)

Bruckler, Franka Miriam
2011.

Bruckler, Franka Miriam ; Matić, Ivan
2011.
Mathematica Pannonica

Nobel Prize for Chemistry 2011. - Winner: Dan Shechtman for the Discovery of Quasicrystals

Stilinović, Vladimir ; Bruckler, Franka Miriam
2011.
Kemija u industriji : časopis kemičara i tehnologa Hrvatske

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Let's Play!

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Even-odd

Bruckler, Franka Miriam
2010.
Matka (Zagreb)

Spirals in nature

Bruckler, Franka Miriam
2010.
Priroda (Zagreb)

Two rows of marbles

Bruckler, Franka Miriam
2010.
Matka (Zagreb)

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam ; Jukić, Ljerka
2010.

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Leonhard Euler

Bruckler, Franka Miriam
2010.
Osječki matematički list

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam ; Stilinović, Vladimir ; Bilać, Željka
2010.

Logarithms in Aequous Solutions

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Fibonacci numbers in the world of plants

Bruckler, Franka Miriam
2010.
Priroda (Zagreb)

The Fibonacci Sequence

Bruckler, Franka Miriam
2010.
Priroda (Zagreb)

Magical dice

Bruckler, Franka Miriam
2010.
Matka (Zagreb)

Has the universe holes?

Bruckler, Franka Miriam
2010.
Priroda (Zagreb)

Bruckler, Franka Miriam
2010.

Vicković, Ivan ; Bruckler, Franka Miriam
2010.

Do today's high-school graduates know how to solve arithmetical problems from 1778.?

Bruckler, Franka Miriam ; Stilinović, Vladimir
2010.

Every number is a magical one

Bruckler, Franka Miriam
2010.
Matka (Zagreb)

History of Mathematics 2

Bruckler, Franka Miriam
2010.

Bruckler, Franka Miriam
2010.

Personal data

Bruckler, Franka Miriam
2009.
Matka (Zagreb)

The group of the Rubik cube

Bruckler, Franka Miriam
2009.
Poučak : časopis za metodiku i nastavu matematike

The nineteenth card

Bruckler, Franka Miriam
2009.
Matka (Zagreb)

(Non)mathematical approach to chemical thermodynamics

Bruckler, Franka Miriam ; Bilać, Željka ; Stilinović, Vladimir
2009.

Vicković, Ivan ; Bruckler, Franka Miriam
2009.

How many marbles have you?

Bruckler, Franka Miriam
2009.
Matka (Zagreb)

Augustin Louis Cauchy

Bruckler, Franka Miriam
2009.
Osječki matematički list

Mathematical Gambling

Bruckler, Franka Miriam
2009.
Poučak : časopis za metodiku i nastavu matematike

Abraham de Moivre

Bruckler, Franka Miriam
2009.
Osječki matematički list

Always the same end

Bruckler, Franka Miriam
2009.
Matka (Zagreb)

Personal data

Bruckler, Franka Miriam
2009.
Matka (Zagreb)

Aritmetika i geometrija vode

Bruckler, Franka Miriam ; Kovač, Kristijan
2009.

Mathematics and physics of soccer

Bruckler, Franka Miriam ; Cicvarić, Dinko
2008.

Bruckler, Franka Miriam ; Stilinović, Vladimir ; Bilać, Željka ; Molčanov, Krešimir
2008.

Bruckler, Franka Miriam ; Stilinović, Vladimir
2008.

It ends with 1089

Bruckler, Franka Miriam
2008.
Matka (Zagreb)

Domino trick

Bruckler, Franka Miriam
2008.
Matka (Zagreb)

A trick for three persons

Bruckler, Franka Miriam
2008.
Matka (Zagreb)

Origami constructions

Bruckler, Franka Miriam
2008.
Poučak : časopis za metodiku i nastavu matematike

Problems in Set Theory

Bruckler, Franka, Miriam ; Čačić, Vedran ; Doko, Marko ; Vuković, Mladen
2008.

A trick with three coffee-cups

Bruckler, Franka Miriam
2008.
Matka (Zagreb)

Georg Cantor

Bruckler, Franka Miriam
2007.
Osječki matematički list

Bruckler, Franka Miriam
2007.

History of Mathematics I

Bruckler, Franka Miriam
2007.

The paper band trick

Bruckler, Franka Miriam
2007.
Matka (Zagreb)

Graph Theory as a Method of Improving Chemistry and Mathematics Curricula

Bruckler, Franka Miriam ; Stilinović, Vladimir
2007.

How to divide the loot

Bruckler, Franka Miriam
2007.
Poučak : časopis za metodiku i nastavu matematike

Tying a knot

Bruckler, Franka Miriam
2007.
Matka (Zagreb)

Another card trick

Bruckler, Franka Miriam
2007.
Matka (Zagreb)

Joseph-Louis Lagrange

Bruckler, Franka Miriam
2007.
Osječki matematički list

Arthur Cayley

Bruckler, Franka Miriam
2006.
Osječki matematički list

The dice-and-clock trick

Bruckler, Franka Miriam
2006.
Matka (Zagreb)

Blaise Pascal

Bruckler, Franka Miriam
2006.
Osječki matematički list

Gergonne's trick

Bruckler, Franka Miriam
2006.
Matka (Zagreb)

Always 22

Bruckler, Franka Miriam
2006.
Matka (Zagreb)

Mathematics and football (soccer)

Bruckler, Franka Miriam
2006.

Pierre-Simon de Laplace

Bruckler, Franka Miriam
2005.
Osječki matematički list

Pierre de Fermat

Bruckler, Franka Miriam
2005.
Osječki matematički list

Coins in hands

Bruckler, Franka Miriam
2005.
Matka (Zagreb)

Guessing the card

Bruckler, Franka Miriam
2005.
Matka (Zagreb)

Mathematical duels

Bruckler, Franka Miriam
2005.
Math.e

Rene Descartes

Bruckler, Franka Miriam
2004.
Osječka matematička škola

Niels Henrik Abel

Bruckler, Franka Miriam
2004.
Osječka matematička škola

Bruckler, Franka Miriam
2004.
Glasnik matematički

Mathemagic tricks in the classroom

Bruckler, Franka Miriam
2004.

Bruckler, Franka Miriam
2003.

A Man called Algorithm

Bruckler, Franka Miriam
2003.
Osječka matematička škola

Sofia Kovalevskaya

Bruckler, Franka Miriam
2003.
Osječka matematička škola

Bruckler, Franka Miriam
2003.

Francois Viete

Bruckler, Franka Miriam
2002.
Osječka matematička škola

Evariste Galois

Bruckler, Franka Miriam
2002.
Osječka matematička škola

Study for mathematics teacher in Germany

Bruckler, Franka Miriam ; Vuković, Mladen
2002.
Matematika i škola

Bruckler, Franka Miriam
2002.

Bruckler, F.M.
2001.
Glasnik matematički

Girolamo Cardano

Bruckler, Franka Miriam
2001.
Osječka matematička škola

Bruckler, Franka Miriam
2000.

World Mathematical Year 2000. and Popularisation of Mathematics

Franka Miriam Bruckler
2000.
Poučak : časopis za metodiku i nastavu matematike

Bruckler, Franka Miriam
1999.
Mathematical communications
More information about publications

List of select publications

Brückler, Franka Miriam & Stilinović, Vladimir (2024). From Friezes to Quasicrystals: A History of Symmetry Groups. In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 1823-1863.

F M Brueckler, Ž Milin Šipuš - "Pre-service mathematics teachers’ understanding of conditional probability in the context of the COVID-19 pandemic", European Journal of Science and Mathematics Education, 2022: https://doi.org/10.30935/scimath/12436

FM BruecklerV Stilinović -  "An Early Appearance of Nondecimal Notation in Secondary Education" - The Mathematical Intelligencer, 2020: https://doi.org/10.1007/s00283-019-09960-1