Didactics & Outreach

MATHEMATICS IS COLORFUL

Highlights

• Visual Mathematical Dictionary a collaborative project to break down language barriers
• PROPORTIONATE a user-friendly proportion calculator (partners wanted)

Objects & Exhibits

Easy Multiplication Tables

There are no repetitions (you do not need 7x6 if you know 6x7) and there is no multiplication by 1. The dedicated webpage contains colorful images for posters and mugs (and also a Factorization Poster).

The Chinese Remainder Clock

A clock to learn the Chinese Remainder Theorem. The dedicated webpage with articles and animations.

Math around the Clock

Mathematical clock dials in the article in Plus Magazine and this webpage.

Sliding mask for recurrence sequences

The article in Pi in the Sky.

The half-meter as Montessori tool

The website of the project.

Selected Publications

History & Didactics

• PLIMPTON 322: with Deborah Stranen, the article Converting the Old Babylonian Tablet ‘Plimpton 322’ into the Decimal System as a Classroom Exercise in Convergence and related slides.

Arithmetic Billiards

A geometric construction for the gcd and the lcm.

• The article in Plus Magazine and some slides.
• The article in Recreational Mathematics Magazine, with Joe Reguengo da Sousa and Sebastiano Tronto.
• One result with Bruno Carvalho da Veiga pdf.

Master Mind

Understanding Knuth's algorithm for winning Mastermind.

• The article in The College Mathematics Journal, with Thomas M. Fiore and Alexander Lang
• The Master Mind wheel and some slides.

Logic Puzzles

• The article The hardest logic puzzle ever in Plus Magazine.
• With Jerry Hilgert, Riddelicious, mathematical riddles set in the Luxembourgish context, in English, German, French.
• With Lisa Vagnozzi, Dodici Storie Fantastiche, 12 short stories based on mathematical riddles.

Mathematical Induction

• With Milko Todorovic, the article Visualizations for the Principle of Mathematical Induction and related slides.

Miscellanea

• Mathematical exploration of the Vichten Roman mosaic.
• Junior BINGO, with cards for the MINI-BINGO.
• Rubik's Cube, when your student becomes World Record Holder.
• with Pit Ronk, Beware proportions, collecting some reflections about proportions.
• Multiplication Table Puzzle, an activity for the elementary school.
• Sim!Cong!, a didactical card game for learning the Congruence and Similarity Theorems for triangles.
• with Edith Wittman, Drehoskop, a tool to detect rotational symmetries for polyhedra.
• PytEuk, an puzzle for Pythagoras' Theorem.
• 135, a puzzle with two formulas related to the number 135, .
• with Pietro Sgobba and Sebastiano Tronto, Proof without words images.
• Beat the Prof: Ebene Geometrie, Quiz for Zeit Online.
• Mockingjay Mathematics exercise sheet.
• with Christophe Tholl and Ann Kiefer, the Homeschooling Mathematics , survey in Luxembourgish high-schools, 2021.

Articles for Uitwiskeling

The articles (translated into Dutch by Luc van de Broek) appeared in the magazine Uitwiskeling.

• Article Trigonometry for the multiples of 3 degrees, with Deborah Stranen.
• Article 5-Con triangles.
• Article The Art Gallery Problem.
• Article The 15-puzzle.
• Article Four points, two distances.
• Article The seven bridges of Königsberg.
• Article Discover multisets.
• Article The ABCD of cyclic quadrilaterals, with Engjëll Begalla.
• Article Every number is the beginning of a power of 2.
• Article Staircase numbers.