Didactics
MATHEMATICS IS COLORFUL
NEW: UNCONSCIOUS ASSUMPTIONS PROJECT
An ongoing collaborative didactical project about unconscious assumptions in examples for high-school mathematics. See the webpage of the
project.
POSTERS AND MUGS
Easy Multiplication Tables
Posters and Mugs with the Easy Multiplication Tables.
The multiplication by 1 is omitted, and there are no repetitions in the products (for example you have 6x8 but not 8x6).
Some
Explanations of the Easy Multiplication Tables.
Geometry Posters
Poster with 96 images of geometry.
CLOCKS
The Chinese Remainder Clock
A mathematical clock based on the Chinese Remainder Theorem.
Math around the Clock
Various original mathematical clocks.
POPULARIZATION ARTICLES
History of mathematics
The Babylonian tablet Plimpton 322: constructing a decimal analogue.
- with Deborah Stranen, the article Converting the Old Babylonian Tablet ‘Plimpton 322’ into the Decimal System as a Classroom Exercise, published in
Convergence
(here the Slides).
Visualizing recurrence sequences
A sliding mask to understand recurrence sequences.
Arithmetic billiards
A geometric construction for the gcd and the lcm.
- The article Arithmetic billiards in Plus Magazine.
- The original research article Arithmetic billiards, joint work with Joe Reguengo da Sousa and Sebastiano Tronto. An addition which is joint work with Bruno Carvalho da Veiga pdf.
Master Mind
The Mastermind Wheel (A didactical tool for understanding Knuth's algorithm for winning Mastermind).
Logic Puzzles
The hardest logic puzzle ever.
ARTICLES FOR UITWISKELING
Sines and cosines expressed by radicals.
- with Deborah Stranen, the article
Trigonometry for the multiples of 3 degrees.
5-Con triangles (Triangles that are almost congruent).
The Art Gallery Problem.
- The article The Art Gallery Problem.
The 15-puzzle.
The 'Four points, two distances' problem.
- The article Four points, two distances.
The 7 bridges problem.
- The article The seven bridges of Königsberg.
Multisets.
Cyclic quadrilaterals.
- with Engjëll Begalla, the article The ABCD of cyclic quadrilaterals.
FURTHER EXHIBITS
Sim!Cong! (a didactical card game for learning the Congruence and Similarity Theorems for triangles).
- Sim!Cong!, The instructions and the set of printable cards.
- Leaflet, Guidelines for commercial use (University of Luxembourg).
Drehoskop (to explore solids).
- With Edith Wittman, Drehoskop, a tool to detect rotational symmetries for polyhedra (these can rotate on various axes).
A mathematical exhibit around Pythagoras' Theorem.
- PytEuk, an exhibit that shows Pythagoras' Theorem
and some related result by means of puzzles.
Placing the numbers 1,3, and 5.
- The 135 Exhibit, with two formulas related to the number 135, pdf.
GoFlex (composable flexible stripes).
- GoFlex, reconfigurable flexible stripes to create Möbius bands and other geometrical objects.
MISCELLANEA
A webpage explaining how to solve the Rubik's Cube.
- With Daniel Zuk and Sebastiano Tronto, the webpage in English, German, and French.
Mathematical riddles for everyone.
- with Jerry Hilgert, Riddelicious, mathematical riddles set in the Luxembourgish context, in
English, German, French.
Documentation about the mobile exhibition of the mathematikum.
- With the students of the Master of Secondary Education, the detailed description of the exhibition Mathematik zum Anfassen of the mathematikum.
With Bruno Teheux, slides explaining some of the exhibits.
Proof without words (Mathematical images explaining proofs).
One Quiz about plane geometry.
Mockingjay Mathematics (movie-inspired problems).
Illustrating the Principle of Mathematical Induction.
- with Milko Todorovic, the article Visualizations for the Principle of Mathematical Induction (here the Slides) about the variants of the Principle of Mathematical Induction
and how to illustrate them.