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Since July 2024
Instructor since July 2024
Online Basic Algebra Class for all levels and curriculum
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From 49 C$ /h
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Basic Algebra class is for everyone who struggles with math especially when algebra comes into play. In this class, we will learn algebra from the very basics and will cover all the topics inside which can be customized as per need or according to their respective curriculum. Regular assessments will be done.
Extra information
PC or Laptop
Internet connection
Bring your notebook and Pen
Location
location type icon
Online from India
About Me
A strong believer in the saying: ''A tutor is a person who touches the heart and opens up the mind"

I have a passion for teaching and love to be in connection with students across the globe. Further, I believe in going to the level of students and then making them understand any concept. My way of teaching is different for every student who gets involved with me and I explore the subject with them rather than just making them mug up the concept.
Education
Bachelor of Technology in Electronics and Communication
(Rajasthan Technical University-Kota)
2016
Post-graduation certification in Teaching
(Manipal University)
Experience / Qualifications
8+ years of online teaching experience in Physics and Math of different curriculums and courses like IB, AP, GCSE and other competitive exams.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Skills
Availability of a typical week
(GMT -05:00)
New York
at teacher icon
Online via webcam
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
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📆 Flexible Scheduling – Anytime That Suits You
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🌟 Real Voices. Real Results. Real Math Excellence. 🌟
Before you decide — see for yourself!
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📢 مدرس رياضيات متخصص – ACT I & II | SAT | DSAT | EST | Digital SAT | GAT
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🎓 خبرة أكثر من 10 سنوات في تدريس مناهج الدبلومة الأمريكية للصفوف من السابع حتى الثاني عشر

👨‍🏫 ماذا أقدم لك؟

🔹 طرق تدريس سهلة ومبسطة:

١. ملخصات قصيرة لتسهيل الفهم
٢. قوانين مبسطة لحل المسائل
٣. شرح باستخدام الرسوم التوضيحية والأمثلة الواقعية
٤. تطبيقات وتمارين عملية على كل درس
٥. شرح منظم لكل فصل على حدة
٦. شرح وافي لكل نقطة في المنهج
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🧑‍💻 متاح فوراً – أونلاين أو حضورياً فردي أو في مجموعات صغيرة

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قبل أن تقرر... اطّلع بنفسك!
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👉 لأن الثقة تُبنى، والنتائج تتحدث بصوت أعلى من الكلمات.


💬 خلّي الرياضيات سهلة وممتعة لأولادك!
📱 راسلني الآن لحجز أول حصة
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I have worked for 6 years now with kids from international schools who were "hating" maths because the methods used by their IB teachers were too complicated and hard to understand.

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Good preparation is not just about doing a lot of exercises.
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Understand → Practice → Identify errors → Correct → Repeat → Master
💻 Interactive online courses
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• the date;
• the relevant chapters;
• the main difficulties encountered.
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✔ VWO
✔ VMBO
✔ Gymnasium

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✔️ OMPT-A OMPT-B OMPT-D or OMPT-E

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Maths is tough. But it doesn’t have to be that way.
Hi, I’m a final-year Maths student at university, and I’m here to make Maths click for you. Forget boring lectures and confusing textbooks, my lessons are friendly, patient, and all about helping you understand how and why things work.

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A-Level Maths, Further Maths and Physics
University Maths and engineering modules for science and engineering students
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⭐⭐⭐⭐⭐

💻 Videoconference courses, from the orientation cycle to the final year of high school.

There's a phrase I hear in almost every first session: "In class I understand, but when I'm faced with the worksheet I don't know where to start."

It's not a question of academic level. It's that no one has ever taught students to recognize the type of problem they're facing. One function exercise looks like another, but the method isn't the same—and until this sorting happens automatically, each exercise starts from scratch. This sorting is what I work on first, even before reviewing the lesson.

🎓 I hold a Master's degree in Operations Research (applied mathematics) and have been tutoring mathematics for 5 years. I have worked with numerous students in the Swiss system, as well as in French, Belgian, and international programs.

📚 What I cover, canton by canton

The vocabulary varies from one canton to another, so let's be precise:

✏Geneva and Fribourg — orientation cycle (grades 9 to 11 HarmoS), preparation for entry into secondary school, then the four years of secondary school up to graduation
✏Vaud — pre-gymnasium and general tracks, preparation for the ECR exams, transition to gymnasium, then the three years of gymnasium
✏Neuchâtel — cycle 3, then high school
✏Valais — orientation cycle, then college
Preparation for the Matura exam, all specific options

🔍 How I work

1️⃣ The first sessions are mainly aimed at assessing the level of the student in order to identify the shortcomings observed.

2️⃣ Then we make a plan to fill those gaps: number of hours of work needed, parts of the lessons to focus on, lots of training and development exercises, etc.

3️⃣ We make sure to stay in regular contact with the student's class teacher to monitor their progress and align our work with what is being taught in class.

4️⃣ Then I provide exams similar to what may be offered in class.

5️⃣ Upon request, I write a monthly report to keep parents informed of their child's level throughout the course.

✨ Why this profession

My favorite moment is when a student starts explaining their approach aloud without me having asked anything. It means they're no longer trying to guess what I expect—they're thinking. The rest always follows.

🗣️ Lessons in French or English. Response within the day.
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I offer online math tutoring for students in Grades 6 to 10 (covering Middle School Math, local Matric Math, and GCSE/IGCSE Math).

Math can sometimes feel like a puzzle with too many confusing rules, but once the basic steps are clear, it becomes much easier. Here is how we work together during our sessions:

Breaking down difficult topics like algebra, geometry, and fractions into simple, easy-to-follow steps.

Solving homework problems together and clearing up any confusions on the spot.

Practicing past board papers and school test questions so you feel completely confident before your exams.

Send me a message if you want to chat about what math topics you need help with!
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An elite academic and educator holding an Astrophysics PhD from Charles University, graduating with highest honors across all degrees.
Bringing years of formal university teaching experience—including serving as a Graduate Teaching Assistant (TA) for Differential Equations and instructing Astrophysics I—I offer unparalleled mentorship in physics and mathematics. My expertise spans from foundational high school concepts to highly abstract pure mathematics (topology, combinatorics) and advanced applied sciences. Having guided hundreds of university students through rigorous STEM coursework, I know exactly where students stumble and how to fast-track their understanding.
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📢 Private Math Tutor – ACT I & II | SAT | DSAT | EST | Digital SAT | GAT
📍 Available Online | One-to-One | Small Groups | Home & Learning Centers

🎓 Experienced Math Teacher for the American Diploma Curriculum
✅ Over 10 years of experience teaching Grades 7–12 across all American schools.

👨‍🏫 What I Offer:

🔹 Simple and Effective Teaching Methods:

1/Short and clear notes for quick understanding

2/Easy-to-remember formulas for problem solving

3/Visual explanations using diagrams and real-life examples

4/Practical applications and hands-on problems

5/Chapter-by-chapter structured teaching

6/Detailed explanations of every topic

7/Chapter-based worksheets provided

8/Weekly tests and regular assignments

9/Monthly progress reports sent to parents

10/Special focus and support for struggling students

11/Explaining math concepts in plain, simple English to ensure deep understanding

📆 Flexible Scheduling – Anytime That Suits You
🧑‍💻 Available immediately – online, private, or in small group sessions (home or centers)

💬 Let’s make math easy and enjoyable together!
📱 Contact me now to book your first session

🌟 Real Voices. Real Results. Real Math Excellence. 🌟
Before you decide — see for yourself!
Explore genuine reviews, powerful testimonials, and real student progress.
📚 Check my certifications, sample solved exams, and success stories from students who turned math into their strongest subject.

👉 Because trust is earned — and results speak louder than promises.

------------------------------------------------------------------------------------------------------

📢 مدرس رياضيات متخصص – ACT I & II | SAT | DSAT | EST | Digital SAT | GAT
📍 متاح أونلاين – حصص فردية أو مجموعات صغيرة – زيارات منزلية ومراكز تعليمية

🎓 خبرة أكثر من 10 سنوات في تدريس مناهج الدبلومة الأمريكية للصفوف من السابع حتى الثاني عشر

👨‍🏫 ماذا أقدم لك؟

🔹 طرق تدريس سهلة ومبسطة:

١. ملخصات قصيرة لتسهيل الفهم
٢. قوانين مبسطة لحل المسائل
٣. شرح باستخدام الرسوم التوضيحية والأمثلة الواقعية
٤. تطبيقات وتمارين عملية على كل درس
٥. شرح منظم لكل فصل على حدة
٦. شرح وافي لكل نقطة في المنهج
٧. أوراق عمل لكل فصل لتقوية الفهم
٨. اختبارات أسبوعية وواجبات دورية
٩. تقرير شهري لأولياء الأمور عن مستوى الطالب
🔟 اهتمام خاص بالطلاب الضعاف وتقويتهم
١١. شرح المفاهيم الرياضية بلغة بسيطة تساعد الطالب على الفهم الحقيقي

📆 مواعيد مرنة حسب الوقت المناسب لك
🧑‍💻 متاح فوراً – أونلاين أو حضورياً فردي أو في مجموعات صغيرة

🌟 آراء حقيقية، نتائج ملموسة، وتميّز رياضي مثبت. 🌟
قبل أن تقرر... اطّلع بنفسك!
اقرأ آراء الطلاب السابقين، وشاهد تجاربهم وتقدّمهم الحقيقي في مادة الرياضيات.
📚 اطّلع على شهاداتي المعتمدة، ونماذج من أسئلتي المحلولة، وقصص النجاح التي تثبت أن الرياضيات يمكن أن تكون أسهل وأمتع مما تتخيل.

👉 لأن الثقة تُبنى، والنتائج تتحدث بصوت أعلى من الكلمات.


💬 خلّي الرياضيات سهلة وممتعة لأولادك!
📱 راسلني الآن لحجز أول حصة
verified badge
I have worked for 6 years now with kids from international schools who were "hating" maths because the methods used by their IB teachers were too complicated and hard to understand.

I believe that no one is "not mathematical", we just have to find the way to approach the subject together; I have indeed a few teaching methods that can be adapted to a kids' needs, I believe every kid needs a different method to fully understand the subject.

I provide 3 types of lessons that represent 3 phases:
1. THEORY - Understanding the theory behind the exercises, this phase is the shortest since I believe that to fully understand maths you need to exercise.
2. EXERCISES - Doing exercises divided by subject we. just went through in the theory part.
3. PAST PAPERS - Going through past papers to "simulate" a potential exam.

Dividing the process in 3 phases has proven really effective in succeeding not only during the year but also at the final exams.
verified badge
An exam is coming up and your child doesn't know where to start? Is the Baccalaureate or Brevet exam approaching and they lack method or confidence?
He knows the material but loses his composure when faced with an exercise?
He makes repetitive mistakes despite his revisions?
He doesn't know how to organize his revision?
There isn't enough time to review all the chapters?
Or does he simply want to prepare himself seriously to achieve better results?
I can help him organize his work, target his difficulties and train effectively.
I am a mathematics teacher with 15 years of teaching experience and hold a Master's degree in mathematics. I tutor middle and high school students, particularly in the French and Moroccan curricula.
🎯 Preparation tailored to the student's objective
Good preparation is not just about doing a lot of exercises.
First, we need to identify:
• concepts that are not mastered;
• errors that recur regularly;
• methods that the student does not yet know how to use;
• the priority chapters;
• the actual level of preparation.
Next, we implement a targeted and progressive approach.
📝 Preparation for tests and exams
Depending on the level and objective, we can work on:
• review of essential concepts;
• classic exercises and more complex exercises;
• the exam topics;
• problems requiring multiple steps of reasoning;
• the problem-solving methodology;
• drafting the solutions;
• time management;
• the analysis and correction of errors;
• the strategies to use when faced with different types of exercises.
For the Brevet or the Baccalaureate, we can also work from past exam papers to gradually familiarize the student with the exam format.
🔎 A method based on errors
An error is not simply something to be corrected.
It allows us to understand what is not yet mastered.
During the sessions, we therefore analyze the errors to determine their origin, then we repeat the method until the student is able to solve a similar exercise independently.
Understand → Practice → Identify errors → Correct → Repeat → Master
💻 Interactive online courses
The classes are held remotely using Google Meet and an interactive whiteboard.
The student works directly with me during the session. It's not simply a matter of looking at a solution: they must search, explain their reasoning and participate actively.
I can also send him screenshots of the work done during the session to facilitate revisions.
🏆 15 years of experience
I have worked with many students of varying levels and difficulties.
For my final year students who were tutored in mathematics, I achieved a 100% success rate in the Baccalaureate, with 75% obtaining a distinction of "Bien" or "Très Bien".
This experience allows me to adapt the work to the available time and the actual level of the student, especially when an exam is approaching.
👨‍🎓 For which students?
• College
• High school
• Second
• First
• Final year
• Preparation for the Brevet exam
• Preparation for the Baccalaureate
• Preparation for inspections
• Students needing a refresher course before an exam
The French and Moroccan programs are taken into account.
📩 An exam is coming up?
In your message, please tell me:
• the student's level;
• the type of examination or test;
• the date;
• the relevant chapters;
• the main difficulties encountered.
This will allow me to determine priorities and propose work that is adapted to the time available.
The goal is to prepare the student effectively, to correct their priority difficulties and to enable them to approach their exam with more method and confidence.
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I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.
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My name is Badr and I am passionate about teaching mathematics. I offer private mathematics lessons in English🇬🇧 and French🇫🇷 tailored to students from primary to high school, including preparation for the baccalaureate and 3rd year middle school exams.

Using a clear and progressive approach, I simplify complex concepts to enable each student to better understand, gain confidence, and make lasting progress. Whether in arithmetic, algebra, geometry, or analysis, my sessions are personalized according to the level, pace, and needs of each student.
My goal: to help each student build a solid foundation, overcome their obstacles, succeed in their exams, and excel in their academic career.
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I provide online Mathematics tutoring for IB students, with particular experience supporting students at IB MYP and IB Diploma (DP) level, including Mathematics AA and AI at SL and HL.

My approach is not simply about giving students answers. I focus on helping them understand why a method works, how to approach unfamiliar problems, and how to present their solutions clearly.

My teaching approach
Every student is different. Some students need help with a particular topic, while others have gaps in their foundations that make later IB topics difficult.

In lessons, I try to identify where the difficulty actually comes from and then build the understanding step by step.

I encourage students to:

• understand concepts rather than memorise procedures;
• explain their reasoning;
• practise with progressively more challenging questions;
• learn from mistakes;
• develop an organised approach to exam questions.

My goal is to help students become more independent and confident mathematicians, rather than dependent on a tutor.
I provide mathematics tutoring for:

International Baccalaureate (IB Mathematics):
✔ MYP Mathematics (Years 2, 3, 4, 5 — Standard and Extended levels)
✔ DP Mathematics: Analysis & Approaches (AA) and Applications & Interpretation (AI) — SL and HL
✔ DP1, DP2, CP1 and CP2 support

Dutch Mathematics Curriculum:
✔ HAVO
✔ VWO
✔ VMBO
✔ Gymnasium

I have provided tutor for university entrance exams like
✔️ CCVX(Boswell Beta ,VWO Mathematics).
✔️ OMPT-A OMPT-B OMPT-D or OMPT-E

Subjects include algebra, calculus, statistics, geometry, and exam preparation.

With my background in mathematics and technology, I also help students develop the analytical thinking skills that are valuable for STEM studies and future careers.
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Are you drowning in countless formulas? Is your head starting to explode with equations and graphs? Don't panic! Math doesn't have to be a stumbling block. With the right explanation and a calm approach, it often becomes much clearer. Together, we'll tackle it step by step, at your pace.

For whom?
- Students from primary and secondary education
- Children and young people preparing for exams or tests
- Anyone who wants to give mathematics a second chance, including adults

What can you expect?
- I explain the often complicated mathematical language in clear, human language
- Focus on insight, not just learning tricks and formulas by heart
- Exercises that we tackle together
- Space for questions, repetition and building self-confidence
I can also prepare exercises and even complete practice exams myself.

About me
I'm currently pursuing my Master's degree in Data Science/Analytics at the University of Antwerp. In high school, I had seven hours of math a week and always passed my exams with high marks. I've been happily tutoring students of various levels for several years now. I'm analytical, but also calm, patient, and good at sensing exactly where things are going wrong.

Practical:
- 1-on-1 lessons, online, at my place or at yours (if you don't live too far away)
- We will go through your material together or I will provide my own material
- Your own pace and approach, completely tailored to you

I have already successfully guided students with:
- Mathematics in secondary education: from the 1st to the 6th year, for various fields of study and schools, including Latin at Sint-Michielscollege Brasschaat, Economics-Mathematics at KA Schoten, and Humanities at Annuntia.
- Arithmetic in primary education: pupils in the 4th, 5th, and 6th grades, including mental arithmetic, written calculation, and other arithmetic skills.
- Mathematics in the Electromechanics program at AP University of Applied Sciences.

Feel free to send me a message with your questions or concerns, and we'll discuss how I can best support you.
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Maths is tough. But it doesn’t have to be that way.
Hi, I’m a final-year Maths student at university, and I’m here to make Maths click for you. Forget boring lectures and confusing textbooks, my lessons are friendly, patient, and all about helping you understand how and why things work.

Whether you’re in primary school or prepping for your GCSEs, I’ll break down tricky topics into simple, easy-to-follow steps and I’ll stick with you until it finally makes sense. No rush, no judgment, just honest support from someone who’s been through it.

I’m not a strict teacher; think of me as your Maths buddy who’s got your back. We’ll work together to build your confidence and get you from stuck to unstoppable. With flexible class timings and clear explanations with simple examples, you’ll start to see Maths in a whole new way, and actually enjoy learning it!
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The first year of secondary school prepares students for the prestigious high school diploma! The mathematics program in the final year (whether in Classical or General education) is demanding and requires a solid foundation.

This support from the beginning of the year is specifically designed for students in the Luxembourg system who are moving from 2nd to 1st year of secondary school. The objective is to start now to consolidate what they have learned and fill in any gaps.

📚 Sample program (Adaptable according to the student's section - B, C, D, G, etc.):

Module 1: Consolidation of Foundations (Basic Algebra and Analysis)

Perfect mastery of algebraic calculation, fractions and powers.

Solving complex equations and inequalities.

In-depth review of derivatives and the study of functions (variation tables, asymptotes).

Module 2: Introduction to the key concepts of the 1st

Introduction to logarithmic and exponential functions (ln and exp).

Introduction to integral calculus (calculating areas).

Depending on the section: Complex numbers, analytic geometry in space, or probability/statistics.
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I teach one-to-one Maths and Physics to GCSE, A-Level and university students, online and in person around Birmingham.

I hold an MSc in Electronics and Electrical Engineering with Distinction from the University of Chester, where I now teach and assess postgraduate students as a visiting lecturer. Alongside that I've been tutoring privately for several years, across GCSE, A-Level and first-year university modules. I've published two international conference papers, so the maths I teach isn't something I learned once and repeat from a textbook. I use it.

What I cover:

GCSE Maths and Physics, all exam boards including AQA, Edexcel, OCR and Eduqas
A-Level Maths, Further Maths and Physics
University Maths and engineering modules for science and engineering students
Individual topics including algebra, trigonometry, calculus, statistics, mechanics and logic

How I teach:

Every student starts in a different place, so the first thing I do is find out what they actually understand rather than what the syllabus assumes they should. From there I break difficult ideas into small steps, work through plenty of examples, and set focused practice between sessions.

I care more about a student knowing why a method works than memorising the steps, because understanding is what survives exam pressure when a question is worded unfamiliarly. Lessons are structured but relaxed. Students should feel comfortable asking the questions they think are silly, because those are usually the ones that matter most.

I'm patient with mistakes and honest about what still needs work. If a student isn't ready for a topic, I'll say so and we'll go back a step rather than pretend otherwise.

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.
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I am a qualified and passionate private tutor of mathematics and physics (PC), a graduate of Cheikh Anta Diop University of Dakar (UCAD). My academic background includes studies in mathematics, physics and computer science during my first two years of university, followed by a bachelor's and a master's degree in biomathematics, where I was able to deepen my skills in applied sciences.

My tutoring experience began within my family circle, and with over ten years of experience, I have developed a personalized approach to academic support, enhanced by online pedagogical training. I offer lessons tailored to each student's specific needs, always starting with a thorough assessment of their skills to better identify weaknesses and develop a customized remediation program.

On a personal level, I find great motivation in working with students who are passionate about success. Their determination to improve fuels my commitment to guiding them toward their goals. Highly professional in my approach, I focus strictly on the pedagogical aspect, ensuring a serious and structured learning environment during lessons.

My mastery of the mathematics, science, and French curricula, combined with my expertise in biomathematics, allows me to simplify complex concepts and make learning science more accessible. My goal is to help each student strengthen their foundational skills, regain confidence, and develop independence in their studies.

I offer private lessons in Dakar, at the student's home or remotely via an interactive online platform, thus offering equal flexibility and efficiency in both formats.
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Currently in Master 2 of Random Modeling at the University of Paris Cité, after a rigorous research Master focused on dynamic systems, I dedicate my expertise to Bachelor (L1, L2, L3) and Master (M1) students facing the demands of scientific and economic fields.

Objective: Zero obstacles. A targeted support system to help you pass your exams and entrance exams.
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⭐⭐⭐⭐⭐

💻 Videoconference courses, from the orientation cycle to the final year of high school.

There's a phrase I hear in almost every first session: "In class I understand, but when I'm faced with the worksheet I don't know where to start."

It's not a question of academic level. It's that no one has ever taught students to recognize the type of problem they're facing. One function exercise looks like another, but the method isn't the same—and until this sorting happens automatically, each exercise starts from scratch. This sorting is what I work on first, even before reviewing the lesson.

🎓 I hold a Master's degree in Operations Research (applied mathematics) and have been tutoring mathematics for 5 years. I have worked with numerous students in the Swiss system, as well as in French, Belgian, and international programs.

📚 What I cover, canton by canton

The vocabulary varies from one canton to another, so let's be precise:

✏Geneva and Fribourg — orientation cycle (grades 9 to 11 HarmoS), preparation for entry into secondary school, then the four years of secondary school up to graduation
✏Vaud — pre-gymnasium and general tracks, preparation for the ECR exams, transition to gymnasium, then the three years of gymnasium
✏Neuchâtel — cycle 3, then high school
✏Valais — orientation cycle, then college
Preparation for the Matura exam, all specific options

🔍 How I work

1️⃣ The first sessions are mainly aimed at assessing the level of the student in order to identify the shortcomings observed.

2️⃣ Then we make a plan to fill those gaps: number of hours of work needed, parts of the lessons to focus on, lots of training and development exercises, etc.

3️⃣ We make sure to stay in regular contact with the student's class teacher to monitor their progress and align our work with what is being taught in class.

4️⃣ Then I provide exams similar to what may be offered in class.

5️⃣ Upon request, I write a monthly report to keep parents informed of their child's level throughout the course.

✨ Why this profession

My favorite moment is when a student starts explaining their approach aloud without me having asked anything. It means they're no longer trying to guess what I expect—they're thinking. The rest always follows.

🗣️ Lessons in French or English. Response within the day.
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I offer online math tutoring for students in Grades 6 to 10 (covering Middle School Math, local Matric Math, and GCSE/IGCSE Math).

Math can sometimes feel like a puzzle with too many confusing rules, but once the basic steps are clear, it becomes much easier. Here is how we work together during our sessions:

Breaking down difficult topics like algebra, geometry, and fractions into simple, easy-to-follow steps.

Solving homework problems together and clearing up any confusions on the spot.

Practicing past board papers and school test questions so you feel completely confident before your exams.

Send me a message if you want to chat about what math topics you need help with!
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An elite academic and educator holding an Astrophysics PhD from Charles University, graduating with highest honors across all degrees.
Bringing years of formal university teaching experience—including serving as a Graduate Teaching Assistant (TA) for Differential Equations and instructing Astrophysics I—I offer unparalleled mentorship in physics and mathematics. My expertise spans from foundational high school concepts to highly abstract pure mathematics (topology, combinatorics) and advanced applied sciences. Having guided hundreds of university students through rigorous STEM coursework, I know exactly where students stumble and how to fast-track their understanding.
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