IN SHORT Role of mathematics in optimizing production and reducing costs Impact of mathematics on GDP: 15% in several countries 3.3 million wage-earning 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 modes and definition of work Importance of … Read more
IN BRIEF Misreading the statements of exercises Neglecting the units of measurement Confusing the basic operations Poor alignment of numbers during calculations Forgetting carries in additions Inattentive errors: reread to correct Lack of organization in work Well mastering the rules of priority of operations Mathematics, while being a rigorous discipline, is not immune to common … Read more
IN BRIEF Advanced Algebra: exploration of fundamental concepts Polynomials: definition and types Operations on Polynomials: addition, subtraction, multiplication Factorization: techniques and common methods Linear Applications: link 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 Numerical 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, calculus, statistics, and … Read more
IN BRIEF Everyday applications of mathematics in daily activities. Use of probabilities to make informed decisions. The importance of manipulating data with tools like Excel. Examples of daily actions that reinforce mathematical reasoning. Making the learning of mathematics more concrete and accessible. Exploring statistics in managing biases and budgets. Presenting projects that integrate mathematics into … Read more
IN BRIEF Transcendental numbers: Numbers that are not roots of any non-zero polynomial. Rational numbers: Numbers that cannot be expressed as a fraction. Property of being transcendental: Corresponds to the absence of a polynomial with integer coefficients that would annul 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 school to middle school. Focus on multiplication, additions, and geometry. Games like MathSumo and Proof! to enhance mental math. Teaching materials inspired by the Montessori method. Valuing learning through play in the classroom or at home. Board games … Read more
IN BRIEF Definition: Tables 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. Use: Solving problems in linear algebra and modeling. Practical applications: Topology, 2D-3D graphics, robotics. Digital images: Representation of images … Read more
IN BRIEF Online quiz: Interactive tool for assessing knowledge. Personalized learning: Quiz adaptation according to learners’ levels. Qruiz: Free questionnaire editor to create and share content. Various tools: Options such as Wooclap and iSpring QuizMaker for dynamic quizzes. Interactivity: Engage learners through multiplayer quizzes. Ease of creation: Templates and formats that simplify the development of … Read more
IN BRIEF Central symmetry: transformation around a point, preserving the properties of the original figure. Construction of symmetric figures: procedure to obtain the symmetric of a point, segment, or figure. Center of symmetry: a point O if its symmetric is identical to the figure. Geometric transformation: symmetry is an involutive form, preserving parallelism. Applications: symmetry … Read more