Marion Lefevre

Cryptography and its connection to modern mathematics

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La cryptographie et son lien avec les mathématiques modernes

IN SHORT Modern cryptography: Securing transactions and generating trust. Mathematical problems: Use of unsolved problems, such as the factorization of large numbers. History: Cryptographic system RSA developed by Ronald Rivest and his colleagues in 1977. Applications: Computer programs derived from cryptographic protocols. Prime numbers: Essential for research in cryptography. Encoding function: Encryption keys validated by … Read more

Why mathematics is considered a universal language

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Pourquoi les mathématiques sontelles considérées comme un langage universel

IN BRIEF Universal language connecting various fields: physics, biology, computer science Enables precise communication without words Considered the most precise language to describe the Universe Ability to transcend cultural boundaries Use of formal symbols and structures Recognized by iconic figures such as Galileo Galilei Stable interpretation of concepts independent of words Mathematics are often referred … Read more

Tips for quickly memorizing multiplication tables

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Astuces pour mémoriser les tables de multiplication rapidement

IN BRIEF Understanding concepts before learning Observation to better retain information Concrete games to practice multiplication Manipulation of operations for better assimilation Gamification of learning through board games Use of mnemonic tricks to facilitate memorization Regular repetition and training sessions Creating practice sheets to track progress Encouragement of fun practice to maintain interest Adapting methods … Read more

The best educational videos to understand mathematics

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Les meilleures vidéos éducatives pour comprendre les mathématiques

IN BRIEF YouTube: An essential platform for learning mathematics. Recommended channels: Micmaths, VideoDiMath, Hedacademy. Intensive courses: Offered by Boss des Maths to improve your understanding. Popularization: Content that makes mathematics accessible and interesting. Common problems: Dedicated help for students struggling with mathematics. Education: Educational videos for various levels, from middle school to high school. Creativity: … Read more

The role of stories in learning mathematics

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Le rôle des histoires dans l'apprentissage des mathématiques

IN BRIEF Use of stories to teach mathematics Stimulating students’ critical thinking development Integration of moments in the history of mathematics in the classroom Positive contributions to students’ learning and motivation Playful and innovative methods to facilitate understanding Modern history of mathematics learning Importance in the training of teachers Storytelling and mathematics: an effective combination … Read more

Combinatorics and Its Practical Applications

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La combinatoire et ses applications pratiques

IN BRIEF Combinatorics studies the configurations of finite collections of objects. Essential in many research sectors. Analytic combinatorics: a fusion of analysis and combinatorics for counting. Counting: a process for tallying the outcomes of experiments. Varied applications in computer science, biology, and physics. Mathematical tools: probabilities, graphs, and discrete structures. Combinatorics is an essential branch … Read more

Applications of geometry in modern architecture

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Applications de la géométrie dans l'architecture moderne

IN BRIEF Geometry as the foundation of modern architecture Use of basic geometric shapes for strength and aesthetics Importance of proportions and symmetries in design Role of mathematics in predictive models Application of sacred geometry for harmonious proportions New modeling tools for contemporary architecture Relations between nature and architecture through geometry Modern architecture relies on … Read more

The historical rivalry between famous mathematicians

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La rivalité historique entre mathématiciens célèbres

IN BRIEF The rivalry between Leibniz and Newton over infinitesimal calculus. National tensions after the First World War in the scientific community. The group of mathematicians Bourbaki and its abstract vision of mathematics. The influence of wars on collaborations and rivalries among mathematicians. The contributions of Pythagoras and Thales to the development of mathematics. The … Read more

Introduction to integer, decimal, and rational numbers

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Introduction aux nombres entiers, décimaux et rationnels

IN BRIEF Relative integers: Positive or negative, denoted ℤ. Set ℕ: Contains all natural numbers, included in ℤ. Rational numbers: Quotient of a relative integer and a non-zero integer, denoted ℚ. irrational numbers: Cannot be written as a ratio of integers. Decimal numbers: A subset of rational numbers. Fractions and decimals: Used to solve problems. … Read more

Mobile applications to progress in mathematics

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Applications mobiles pour progresser en mathématiques

IN BRIEF Photomath : Solve math problems by scanning equations. Prodigy Math Game : An interactive game to learn mathematics in high school. Mathway : Mathematical problem solver, from algebra to complex calculus. Khan Academy : Courses and exercises for all levels of mathematics. PrepApp : Methods, quizzes, and corrected exercises for middle school. GeoGebra … Read more