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Karim Zayana

Topics of interest

Some recent papers and talks (educational field)

  • K. Zayana, I. Boyer, "L'aiguille de Buffon, encore et encore", Au fil des Maths , September 2023. An elementary approach of Buffon's needle experience [Full text (PDF)]
  • K. Zayana, R. Queruel, P. Michalak, "Infomathic", Quadrature , September 2023. Computer science at the service of mathematics. [Full text (PDF)]
  • K. Zayana, "Contextes de proportionnalités algébriques et géométriques en lien avec les programmes collège et lycée", Séminaire de l'IREM de Paris , June 2023. [ Video (streaming)]
  • K. Zayana, "Les matrices de passage", Quadrature , May 2023. About change-of-coordinates matrices. [Full text (PDF)]
  • K. Zayana, N. Braun, "Superpouvoirs", CultureMath , March 2023. The power of exponents. [Full text (PDF) ]
  • K. Zayana, I. Boyer, C. Lartigue, "E.Coli et compagnie" Bulletin de l'Union des Professeurs de Spéciales , February 2023. A probabilistic model of bacterial population growth. [Full text (PDF)]
  • S. Verneyre, K. Zayana, "Le barbier était une femme", Tangente magazine, January 2023. Barber's paradox and Cantor's theorem. [Full text (PDF) ]
  • K. Zayana, E. Evci, "Perles du second degré", CultureMath , November 2022. Smart exercices with 2nd degree polynomials. [Full text (PDF) ]
  • K. Zayana, I. Boyer, "Point Gamma", CultureMath , October 2022. Basic maths and computering for expert results. [Full text (PDF) ]
  • K. Zayana, P. Michalak, C. Felloneau, "Ensembles bien équilibrés", CultureMath , September 2022. Basic maths for expert results. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "Sommes : géométriques = mirifiques ?", CultureMath , May 2022. Here everything is free up to the cashier's. [Full text (PDF) ]
  • K. Zayana, I. Boyer, V. Rabiet, "Produits scolaires", CultureMath , May 2022. Looking at your watch at night reveals the secrets of the scalar product. [Full text (PDF) ]
  • K. Zayana, I. Boyer, P-J. Hormière, V. Rabiet, "Par(ab)oles... Par(ab)oles... ", CultureMath , May 2022. Parabolas ; some material for high school. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "Une multitude irrationnelle", CultureMath , April 2022. Revisiting the proof that some (and even many) radicals are irrational [Full text (PDF) ]
  • K. Zayana et les élèves du collège Elsa Triolet (Paris 13), "Nos racines", CultureMath , March 2022. Looking for our roots [Full text (PDF) ]
  • K. Zayana, J-N. Bernard, I. Boyer, V. Rabiet, "Y'a moyen de moyenner ?", CultureMath , March 2022. Different ways to average two numbers. With math and physics [Full text (PDF) ]
  • I. Boyer, K. Zayana, V. Rabiet, "Saturday Knights", CultureMath , February 2022. How to solve a tricky medieval problem from the city of Provins (France) with the help of loop invariants. [Full text (PDF) ]
  • K. Zayana, I. Boyer, M-A. Massard, V. Rabiet, "Matrix : transpositions", CultureMath , January 2022. See the property of the transpose of a matrix product : a proof with a little help of gymnastics. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "Somme et produit, couple star", CultureMath , January 2022. Quadratic equations with no discriminant, but love. [Full text (PDF) ]
  • K. Zayana, P. Michalak, R. Bréheret, I. Boyer, "La fève du boulanger", CultureMath , January 2022. A mathematical Epiphany [Full text (PDF) ]
  • BourbAKHOV (A., K., H., O., V.), "Le compte Musical -- théorème du karaoké : l'épisode fractionnaire", CultureMath , January 2022. 3/15 + 4/5 = 7/20 or 20/20 ? [Full text (PDF) ]
  • K. Zayana, C. Lusseau, V. Pantaloni, V. Rabiet, "Le bon virage", CultureMath et Culture Sciences SI , December 2021. Did you ever asked yourself why and how a bike or a car can turn ? The answer(s) right here ! [Full text (PDF) ]
  • K. Zayana, C. Lartigue, V. Rabiet, "Les lapins abeilles de Fibonacci", CultureMath , December 2021. Fed up with Raving Rabbids ? Have more brain with bees ! [Full text (PDF) ]
  • K. Zayana, I. Boyer, V. Rabiet, "La récurrence chocolat", CultureMath , November 2021. Chocolate. Again, again and again. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "L’évolution de la biodiversité génétique : le principe de Hardy-Weinberg", CultureMath et Planète Vie , November 2021. Want to understand this principle mixing mathematics and biology ? We tried to. Come and have a look, our place is your place. [Full text (PDF) ]
  • K. Zayana, J-N. Bernard, I. Boyer, V. Rabiet, "Aquadiff", CultureMath and CultureSciences Physique , October 2021. Water as a source of differential equations. [Full text (PDF) ]
  • V. Rabiet, K. Zayana, I. Boyer, "Chewing Games", CultureMath , October 2021. Mathematical proofs with a simple stringz. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "Exponentielles imaginaires : demi-somme, carton plein !", CultureMath , September 2021. Geometry, complex numbers, and music for all. [Full text (PDF) ]
  • BourbaKHOV (K., H., O., V.), "Les comptes de la rue Mouffetard : l'épisode fondateur", CultureMath , September 2021. A useful property of percentages. [Full text (PDF) ]
  • K. Zayana, I. Boyer, V. Rabiet, "Changer d'aire", CultureMath , September 2021. Images of how to change variables in multiple integrals. [Full text (PDF) ]
  • K. Zayana, I. Boyer, V. Rabiet, "L'aire du changement", CultureMath , June 2021. Images of how to change variables in integrals. [Full text (PDF) ]
  • K. Zayana, discours et point carrière auprès des admissibles, agrégation externe, Juin-Juillet 2021. [Full text (PDF)]
  • K. Zayana, L. Jacquet-Malo, V. Rabiet, "TP", CultureMath , June 2021. From Thales to Pythagoras and vice versa. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "La tête à Toto", CultureMath , June 2021. History and history of the Zero, and even more. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "Espoir", CultureMath , May 2021. Maths give us reasons to hope. [Full text (PDF) ]
  • K. Zayana, V. Rabiet, "En phase et quadrature", CultureMath , May 2021. Sums of sine and cosine's secret. [Full text (PDF)]
  • K. Zayana, V. Rabiet, "Le paradoxe de Zéna", CultureMath , May 2021. Revisiting an old paradox. [Full text (PDF)]
  • K. Zayana, V. Rabiet, I. Boyer, "f'g+fg' ou f'g-fg' ?", CultureMath , May 2021. Some tricks in Analysis. [Full text (PDF)]
  • K. Zayana, V. Rabiet, "Quand la trigonométrie saute aux yeux", CultureMath , April 2021. Some tricks in Geometry. [Full text (PDF)]
  • K. Zayana, Ouverture des Vacances Apprenantes organisées par les étudiants l'Institut Polytechnique de Paris et leur Pôle Diversité - Réussite, Palaiseau, Juillet 2020. [Full text (PDF)]
  • K. Zayana, O. Rioul, "Les probabilités ont la cote", CultureMath , June 2020. Against all odds... [Full text (PDF)]
  • K. Zayana, "Sculptissimo", Au fil des Maths , December 2020. [Full text (PDF)]
  • K. Zayana, K. Chaouch, "Les clés du crédit", CultureMath and SES-ens , April 2020. [Full text (PDF)]
  • K. Zayana, "Pythagore j'adore", Repères IREM , February 2020. [Full text (PDF)]
  • K. Zayana, S. Jadiba, S. Kraiem, A. Fayala, "La route de l'inconnu(e)", Les cahiers pédagogiques , January 2020. [Full text (PDF)] For a more complete version : [Full text (PDF)]
  • K. Zayana, O. Rioul, "Imagine ℝ", Bulletin de l'Union des Professeurs de Spéciales , September 2019. Within real numbers [Full text (PDF)]
  • K. Zayana, P. Michalak, C. Beauseigneur, H. Tanoh, "Algorithmes gloutons avec la classe", CultureMath , July 2019. Greedy algorithms tutorial [Full text (PDF) ]
  • K. Zayana, Remise des prix aux lauréats des Olympiades nationales de mathématiques, Paris, Juin 2019. [Texte (PDF)]
  • K. Zayana, "Au calcul bien pesé", Au fil des Maths , April 2019. About scales, algebra and geometry [Full text (PDF)]
  • K. Zayana, "Tournez méninges", Au fil des Maths , March 2019. Don't get lost on a circle [Full text (PDF)]
  • K. Zayana, E. Croix, "Informathique", Au fil des Maths , December 2018. A programming tutorial [Full text (PDF)]
  • K. Zayana, "Mathématiques à/en portée", Au fil des Maths , July 2018. Musical language and mathematics [Full text (PDF)]
  • K. Zayana, "Pas de probas, pas de chocolat !", Au fil des Maths , March 2018. Introducing probabilities with chocolate [Full text (PDF)]
  • K. Zayana, Préface du recueil "Olympiades 2018 -- APMEP", January 2018. Everything about French Olympiads [Full text (PDF)]
  • K. Zayana, "Bravo monsieur Le Monde...", PLOT , September 2017. Measuring earth's circumference is not so easy that books tell... [Full text (PDF)]
  • K. Zayana, "Professeur, un métier à tisser", Le Bulletin Vert , July 2017. About teaching [Full text (PDF)]
  • R. Cabane, K. Zayana, M. Brilleaud, G. Cohen, "Les EPI vus par deux inspecteurs généraux", Tangente Education, June 2016. Challenges on interdisciplinarity [Full text (PDF)]
  • H. Fache, K. Zayana, "Enrichir le lycée d'une formation qualifiante", Tangente Education, March 2014. Developing and certifying soft skills [Full text (PDF)]
  • K. Zayana, P. Dorbec, "Les secrets de RSA", RSA tutotial, Tangente Education, April 2013. RSA tutorial [Full text (PDF)]
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