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.- Easy Multiplication Tables Posters: Simple posters, Simple triangular posters, Poster with animals, Posters with cartoon.
- Easy Multiplication Tables Mug: Mug, Mug with animals, Mug with cartoon.
- Factorizations on a number stripe Poster (and an advanced version).
- The classical multiplication tables Posters.
Geometry Posters
Poster with 96 images of geometry.- Poster and Small posters in English.
- Poster and Small posters in German.
- Poster and Small posters in French.
CLOCKS
The Chinese Remainder Clock
A mathematical clock based on the Chinese Remainder Theorem.- The official webpage of the CR-Clock: there you find articles, animations, and you can download a free App with the clock!
Math around the Clock
Various original mathematical clocks.- The article Maths Around the Clock in Plus Magazine.
- 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.- Unmasking recurrence sequences, Pi in the Sky (Issue 21, 2019).
Arithmetic billiards
A geometric construction for the gcd and the lcm.- The article Arithmetic billiards in Plus Magazine. Some slides.
- 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).- The Master Mind Wheel and some introductory Slides.
- with Thomas M. Fiore and Alexander Lang, Tactile Tools for Teaching: Implementing Knuth's Algorithm for Mastering Mastermind, The College Mathematics Journal, Volume 49 (2018) Issue 4.
Logic Puzzles
The hardest logic puzzle ever.- The article The hardest logic puzzle ever in Plus Magazine.
ARTICLES FOR UITWISKELING
Sines and cosines expressed by radicals.
- with Deborah Stranen, the article Trigonometry for the multiples of 3 degrees.
- The article 5-Con triangles.
- The article The Art Gallery Problem.
- The article The 15-puzzle.
- The article Four points, two distances.
- The article The seven bridges of Königsberg.
- The article Discover multisets.
- 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).
- With Edith Wittman, Drehoskop, a tool to detect rotational symmetries for polyhedra (these can rotate on various axes).
- PytEuk, an exhibit that shows Pythagoras' Theorem and some related result by means of puzzles.
- The 135 Exhibit, with two formulas related to the number 135, pdf.
- GoFlex, reconfigurable flexible stripes to create Möbius bands and other geometrical objects.
MISCELLANEA
- With Daniel Zuk and Sebastiano Tronto, the webpage in English, German, and French.
- with Jerry Hilgert, Riddelicious, mathematical riddles set in the Luxembourgish context, in English, German, French.
- 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.
- with Pietro Sgobba and Sebastiano Tronto, colorful images for the series Proof without words.
- The Quiz (in German) Beat the Prof: Ebene Geometrie, published on Zeit Online on December 2, 2018. The Quiz is without time limit, and it is recommended for math teachers.
- The exercise sheet Mockingjay Mathematics.