Marion Lefevre 
IN SHORT Role of mathematics in optimizing production and reducing costs Impact of mathematics on GDP: 15% in several countries 3.3 million jobs affected by mathematics in 2019 Societal change during the industrial revolution 4th industrial revolution focused on the development of mathematics Industrialization: transformation of production methods and definition of work Importance of mathematics … Read more
IN BRIEF Misreading the problem statements Neglecting the units of measurement Confusing the basic operations Poor alignment of numbers during calculations Forgetting carryovers in additions Distraction errors: reread to correct Lack of organization in work Mastering the order of operations rules Mathematics, while being a rigorous discipline, is not exempt from common errors that can … Read more
IN BRIEF Advanced Algebra: exploration of fundamental concepts Polynomials: definition and types Operations on Polynomials: addition, subtraction, multiplication Factorization: common techniques and methods Linear Applications: connection to linear systems Roots: study of multiple roots and divisibility Algebraic Geometry: relationships between equations and geometric figures Practical Exercises: solved exercises for practice In the field of advanced … Read more
IN BRIEF Numeric sequences: series of numbers arranged in a specific order. Definitions: important distinction between a sequence and a series. Series: sum of the terms of a sequence as n approaches +∞. Convergence: a series is convergent if the sum of the terms approaches a limit. Applications: fundamental tools in algebra, analysis, statistics, and … Read more
IN BRIEF Everyday applications of mathematics in regular activities. Using probabilities to make informed decisions. The importance of manipulating data with tools like Excel. Examples of daily actions that enhance mathematical reasoning. Making the learning of mathematics more concrete and accessible. Exploring statistics in managing biases and budgets. Presentation of projects that integrate mathematics into … Read more
IN BRIEF Transcendental numbers: Numbers that are not the root of any non-zero polynomial. Irrational numbers: Numbers that cannot be expressed as a fraction. Property of being transcendental: Corresponds to the absence of a polynomial with integer coefficients that cancels it. Notable examples: π and e are common examples of transcendental numbers. Algebraic numbers: Contrast … Read more
IN BRIEF Educational games to learn mathematics in a fun way. Options for all ages, from elementary to middle school. Focus on multiplication, addition, and geometry. Games like MathSumo and Proof! to improve mental math. Teaching materials inspired by the Montessori method. Emphasis on learning through play in the classroom or at home. Board games … Read more
IN BRIEF Definition: Arrays of elements organized in rows and columns. Size: A matrix of size m x n has m rows and n columns. Structure: Composed of essential elements such as rows, columns, and properties. Usage: Solving problems in linear algebra and modeling. Practical applications: Topology, 2D-3D graphics, robots. Digital images: Representation of images … Read more
IN BRIEF Online quiz: An interactive tool to assess knowledge. Personalized learning: Adapting quizzes according to the learners’ levels. Qruiz: A free questionnaire editor to create and share content. Various tools: Options like Wooclap and iSpring QuizMaker for dynamic quizzes. Interactivity: Engage learners through multiplayer quizzes. Ease of creation: Templates and outlines simplifying the development … Read more
IN BRIEF Central symmetry: transformation around a point, preserving the properties of the original figure. Construction of symmetricals: procedure to obtain the symmetrical of a point, a segment, or a figure. Center of symmetry: a point O if its symmetrical is identical to the figure. Geometric transformation: symmetry is an involutive form, preserving parallelism. Applications: … Read more