Marion Lefevre 
IN BRIEF Origin of the abacus: an ancient calculation tool used since 2000 B.C. Key inventions: William Schickard and his calculating machine in 1623 Blaise Pascal and the Pascaline in 1642 Mechanical machines by Charles Babbage in the 19th century Evolution of tools: From abacus to electronic calculator (ENIAC in 1945) Introduction of supercomputers Impact … Read more
IN BRIEF Data analysis for informed decisions. Statistics as decision-making tools. Impact of data on strategic choices. Optimization of resources through statistical methods. Simplification of decision-making despite data complexity. Growing use of business data for optimal decisions. Fundamental role of statistics in corporate strategy. In a world where information abounds, statistics present themselves as an … Read more
IN BRIEF Mathematical logic as the basis of philosophical thought. Relationship between mathematics and philosophy throughout the centuries. Influence of modern philosophers on mathematics. The philosophy of mathematics and its foundations. Contributions of figures like Descartes and Pascal. Abstraction and generalization in reasoning. Kant’s approaches on the independence of mathematics. Mathematics, as a rigorous discipline, … Read more
IN BRIEF Set ℕ: Natural whole numbers (0, 1, 2, …) Set ℤ: Whole numbers (positive and negative) Set ℚ: Rational numbers (fractions) Set ℝ: Real numbers including irrational numbers Set ℝ⁺: Positive real numbers Set ℝ⁻: Negative real numbers Use of the number line to represent sets Importance of properties and relationships between sets … Read more
IN BRIEF Squares : A number raised to the power of 2. Cubes : A number raised to the power of 3. Square and cube numbers can add together. Examples of numbers: 1 and 64 are both squares and cubes. Calculating a square root or cube root is the inverse operation of raising a number. … Read more
IN BRIEF Modeling of natural phenomena Prediction of environmental effects Optimization of energy resources: solar and wind Analysis of the impact of climate change Development of new models for ecosystems Use of carbon balance for sustainability Mathematics plays an essential role in understanding and solving environmental problems. Through predictive models and equations, they allow for … Read more
IN SHORT Use nature to teach mathematics Propose practical activities outdoors Contextualized learning environment Exploration of mathematical concepts through the environment Develop problem-solving skills Encourage imagination and oral expression Integration of geometry and modeling concepts Promote student engagement in their learning Active and playful learning in the open air Using nature as a support for … Read more
IN BRIEF Origins of mathematics in Antiquity Significant advancements during the Renaissance with Copernicus, Kepler, and Galileo Contributions of the Babylonians and Egyptians to numeration Evolution of mathematical concepts throughout the centuries Development of mathematical functions Influence of mathematics on physics and the sciences Resolution of theorems and mathematical problems Emergence of applications of mathematics … Read more
IN BRIEF Modern Cryptography: Securing transactions and generating trust. Mathematical Problems: Use of unresolved problems, such as the factorization of large numbers. History: The 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 … Read more
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 symbols and formal structures Recognized by iconic figures such as Galileo Galilei Stable interpretation of concepts regardless of words Mathematics are often referred … Read more