Fundamental concepts of geometry for children

Notions fondamentales de géométrie pour les enfants

IN BRIEF Familiarization of children with geometric shapes. Importance of spatial development from kindergarten. Exploration of basic concepts such as points, lines, and angles. Fun activities: recognizing colors, comparing quantities. Observation and sorting of shapes based on various criteria. Introduction to symmetry and other geometric techniques. Using graphomotor skills to teach shapes. Preparation for more … Read more

Learn geometry through paper constructions

Apprendre la géométrie grâce à des constructions papier

IN BRIEF Origami to stimulate the desire to learn. Construction steps with clear illustrations. Use of GeoGebra to validate constructions. Enriching paper folding activity. Creation of geometric figures without cutting. Examples of geometric constructions for students. Resources and programs adapted to CM1, CM2, and 6th grade. Dynamic geometry software for advanced visualization. Learning geometry through … Read more

Geometric transformations in advanced mathematics

Les transformations géométriques en mathématiques avancées

IN BRIEF Geometric transformations: Mechanisms for modifying figures in the plane. Main types: Translation, Rotation, Reflection, Homothety. Bijectivity: Unique association between original points and image points. Conservations: Lengths, angles, areas, and alignments preserved during transformations. Varied applications: Used in various fields such as physics and computer science. Pedagogical approach: Presentation and exercises in student textbooks. … Read more

The contributions of ancient civilizations to modern mathematics

Les contributions des civilisations anciennes aux mathématiques modernes

IN BRIEF Ancient Mathematics: From Antiquity to the Present Day. Babylonian Contributions: Advanced methods for trade. Egyptians: Use of mathematics for measuring monuments. Mesopotamia: Innovative calculation approaches. Arab-Muslim Civilizations: Hubs of mathematical knowledge in the Middle Ages. Thales of Miletus: Invention of geometry and the beginning of Greek mathematics. African Origins: Major contributions to modern … Read more

Probability and statistics concepts for beginners

Notions de probabilité et statistiques pour les débutants

IN BRIEF Probability: measure of the chance of an event occurring (value between 0 and 1). Statistics: analysis of qualitative and quantitative data. Essential concepts: mean, median, mode. Probability calculation: favorable events divided by total number of events. Random variables and probability laws: fundamental concepts. Difference between probabilities and statistics: use of data. The notions … Read more

How to solve simple math problems step by step

Comment résoudre les problèmes mathématiques simples étape par étape

IN BRIEF Read carefully the statement to fully understand the problem. Rephrase the problem to grasp its essence. Develop a strategy to determine the appropriate method. Put into practice the chosen strategy and carry out the necessary calculations. Verify that the solution found is coherent and relevant. The resolution of simple mathematical problems is an … Read more

The basics of mathematics: addition, subtraction, multiplication, and division

Les bases des mathématiques : addition, soustraction, multiplication et division

IN SHORT Four basic operations: addition, subtraction, multiplication, division Order of operations: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) Multiplication and Division are inverses of addition and subtraction Importance of parentheses in the order of calculations Practical exercises available to master the operations Calculation tables to learn for quick mastery The foundations of … Read more

Understand place value and decimal numbers

Comprendre la place de valeur et les nombres décimaux

IN BRIEF Definition of place value in decimal numbers. Difference between whole numbers and decimal numbers. Importance of digits after the decimal point (tenths, hundredths, etc.). Concept of truncation and approximate value. Writing decimal numbers in expanded form. Place value charts to organize values. In the field of mathematics, understanding decimal numbers and their place … Read more

Solution of differential equations: simplified methodologies

Résolution d'équations différentielles : méthodologies simplifiées

IN BRIEF Differential equations: fundamental in applied mathematics. Homogeneous solutions: functions of the form x ↦ λe−A(x). Cauchy problem: method of variation of the constant. Linear equations: of order 1 and 2, rewritten in canonical form. Numerical resolution: approach for solutions by series. Variation method: development of particular solutions. Applications: usefulness in various industrial fields. … Read more

Use of mathematics in robotics and automation

Utilisation des mathématiques dans la robotique et l’automatisation

IN BRIEF Applied Mathematics : Essential foundation for robotics. Predictive Models : Used in the design of robotic movements. Algorithms : Designed using mathematics to guide robotic actions. Machine Learning : Integrated to enhance the intelligence of robots. Geometry : Fundamental for understanding space and movement. Trajectories : Mathematical modeling of movements. Educational Robots : … Read more