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Zakaria - Berrechid17Fr
17FrUnique math courses for high school and undergraduate students offered by a graduate of a top-tier French engineering school (ECN).
Trusted teacher: I am a graduate of École Centrale de Nantes, one of France's top engineering schools, with a deep passion for mathematics. My goal is to help you move beyond memorization and truly understand the logic and beauty behind mathematical concepts. Depending on your preference, I offer one-on-one tutoring for personalized monitoring, or small group sessions for a collaborative dynamic. I - My Teaching Methodology Our first session will begin with an initial assessment to evaluate your current level. This diagnostic serves as a baseline to objectively measure your progress over time. We will also discuss your goals and objectives to help me adapt my teaching strategy accordingly. The following sessions will usually go like this : 1. Review and Consolidation : If needed, we start by reviewing essential prerequisites. This crucial step allows us to identify and fill any gaps, ensuring you can approach the topics at hand with confidence. 2. Recap and Overview : I kick-off each session with a quick review of the previous one to ensure continuity. Then, I outline the key topics for the day, explaining how they fit into the bigger pitcture of the course. 3. The Concept Behind the Formula : For each new topic, I like to tell its full story : from its origins and the great minds behind it, to its evolution into the concept it has become today. This cultural perspective makes mathematics more engaging, vibrant and fascinating. 4. From Practice to Theory : I systematically illustrate concepts with concrete examples, often drawn from real life or physics, to make them less abstract and more relatable. We then move on to exercises of increasing difficulty : from direct applications to solidify the basics, to more thought-provoking problems that teach you to use the right tools at the right time, and finally, to complex challenges that stimulate your problem-solving skills. 5. Summary and Outlook : Each session concludes with a summary of the topics covered and a preview of the next session’s agenda. After each class, I provide a practical summary handout to facilitate your lesson review. I can also assign practice exercises for homework when deemed necessary or upon request. To track your progress, regular evaluations are scheduled. Furthermore, your feedback is invaluable : I actively seek it to continuously improve my teaching. II - What Sets My Tutoring Apart : To offer more than a standard tutoring session, I integrate special modules into most lessons, focusing on the following areas : 1. The Art of Proof : Mathematics is a structure built on proof. I dedicate part of our sessions to teaching different types of reasoning (e.g., proof by contradiction, induction), the structure and syntax of theorems, propositions, and lemmas, and how to construct a rigorous demonstration. We will analyze existing proofs to extract key ideas that you can adapt and reuse in your own work. 2. Oral Presentation and Synthesis Skills : I will teach you how to present an idea or a proof in front of a group of people with clarity and confidence, and how to overcome stage fright. I will also encourage you to research mathematical topics and present them to small groups to develop your synthesis and critical thinking skills. You will, of course, be guided throughout this process. For students in preparatory classes (CPGE), this module is designed to prepare you for oral exams and TIPE. III - For the Most Curious Amongst You : I offer unique, specialized sessions to help you develop skills that will set you apart from your peers, giving you a real advantage in your future academic and professional pursuits : 1. Mathematics and Programming : Discover the power of computing with Python programming courses applied to mathematics. 2. Scientific Writing with LaTeX : Learn to create clean, professional mathematical documents using the standard language of the scientific world. 3. Beyond the Curriculum : For those interested, we can explore fascinating mathematical concepts that are not typically covered at your level. 4. Olympiad Preparation : I offer targeted training for regional and international mathematics Olympiads. Please feel free to contact me to discuss your goals. The first session is often a great opportunity to get acquainted and create a plan of action that will lead you to success.
Math · Computer programming
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