Foundations of Mathematical Thinking: From Arithmetic to Calculus

From 27 C$ /h

Mathematics is the study of patterns and relationships in quantities, and structures. It involves using logical reasoning and critical thinking to explore abstract concepts such as numbers, algebraic expressions, geometric figures, and mathematical models.
In a mathematics class, students will typically learn about various topics, including arithmetic, algebra, geometry, trigonometry, calculus, and statistics. They will be introduced to various mathematical concepts and techniques and will learn how to apply them to solve problems and analyze data.
A strong emphasis is placed on developing problem-solving skills and building a solid foundation of mathematical knowledge. Students will work on both theoretical and practical problems, learning how to approach problems systematically and methodically. They will also learn how to communicate their ideas verbally and in writing.
Overall, a mathematics class provides students with a rigorous and challenging education that develops their analytical and logical skills and prepares them for a wide range of academic and professional opportunities.

Extra information

Motivation and Desire to do the work is Key

Location

Online from United Kingdom

Age

Children (7-12 years old)

Teenagers (13-17 years old)

Student level

Beginner

Intermediate

Duration

90 minutes

120 minutes

The class is taught in

English

Skills

Math

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Benoit

5.0

(41)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

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

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Raef

5.0

(41)

Graduated and Experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French or international or European program (in English) of Terminales, Bac, 1st, Second, Brevet, competitions and medical university preparatory classes or 1st and 2nd university years either at home or by internet online by the shared, professional and specific interactive whiteboard method.
Homework help for CNED students
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Marie-Lucie

5.0

(41)

I am a master student in quantitative economics and all of my courses are given in English. My goal is to help the student in solving the exercises and to understand the theory but above all to give an effective working method to make him independent in the pursuit of his studies.

Khalil

5.0

(41)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

David

5.0

(41)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Amin

5.0

(41)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Baia

5.0

(41)

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.

Mariem

5.0

(41)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Mohamed

5.0

(41)

Dear future baccalaureate graduate,

The physics and chemistry exam for the baccalaureate requires a solid grasp of the subject matter, effective methodology, and regular practice. I will guide you through your preparation so you can approach the exam with confidence and composure.

🎯 Why choose this support?

✅ Effective methodology: learn to analyze exercises, organize your answers and manage your time during the exam.

✅ Targeted review of the program: mastery of essential concepts in physics and chemistry.

✅ Intensive training: baccalaureate-style exercises, exam series and detailed corrections.

✅ Personalized follow-up: support adapted to your level, your difficulties and your objectives.

📚 What you get:

Clear and structured course summaries
Methodology sheets
Application exercises
Baccalaureate-style assignments under real-life conditions

My goal is to help you reinforce your knowledge, gain confidence and maximize your chances of success in the baccalaureate exam.

📩 Register now to begin your preparation.

Prashil

5.0

(41)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Reza

5.0

(41)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Fisnik

5.0

(41)

Are you taking a mathematics exam in the second session?
I offer intensive support to review the basics, target important chapters and practice effectively on typical exercises.

I support higher education students, particularly at university, college and Solvay/ULB, to understand important concepts, redo practical exercises and practice on typical exam exercises.

My goal is simple: to help you understand the logic behind the methods, know when to use each formula, recognize the correct reasoning in a statement and gain autonomy when facing exercises.

Subjects covered according to your program:

• Limits and continuity:
Calculation of limits, indeterminate forms, left-hand and right-hand limits, limits at infinity, horizontal, vertical and oblique asymptotes, continuity and behavior of a function.

• Derivatives and function analysis:
rules of differentiation, derivative of a composite, logarithmic derivative, increasing/decreasing, extrema, convexity/concavity, inflection points, variation tables and complete graphical representation.

• Optimization:
maximum/minimum problems, economic optimization, cost functions, revenue, profit, elasticity, choice of method and interpretation of results.

• Functions with several variables:
partial derivatives, gradient, differentials, two-variable optimization, local extrema, Hessian matrix, first-order conditions and economic interpretation according to your course.

• Constrained optimization:
Lagrange method, budget constraint, utility maximization, cost minimization, Lagrange multipliers and interpretation of results.

• Linear algebra:
vectors, matrices, matrix operations, determinants, inverse matrices, rank of a matrix, systems of linear equations, Gauss's method and solving systems.

• Sequels and series:
arithmetic and geometric sequences, limits of sequences, convergence, sums, simple series and economic or financial applications according to your program.

• Integrals:
antiderivatives, definite integrals, area under a curve, simple calculation methods, graphical interpretation and applications.

• Financial mathematics:
Simple and compound interest, capitalization, discounting, present value, future value, annuities, monthly payments, equivalent rate, effective rate, loans, repayments, NPV, IRR and basic financial applications.

• Exam preparation:
reading statements, choosing the right method, identifying the formulas to use, typical exercises, past exams, guided corrections and problem-solving methods.

Method of working :

1. We quickly identify the chapters that are causing problems;
2. I re-explain the theory with simple examples;
3. We redo the important exercises together;
4. I will show you how to recognize good reasoning in the exam;
5. We construct a clear method that can be reused independently.

I don't just provide a correction: I explain the reasoning step by step so that you are able to redo the exercises without help.

I have been giving private lessons for over 7 years in mathematics, statistics, economics, and accounting. I have also tutored first and second-year Bachelor's students at Solvay/ULB in mathematics, statistics, and microeconomics as part of a university tutoring program.

My professional experience in finance and business controlling at Deloitte has also allowed me to develop a very structured approach to numbers, analysis, financial models and problem-solving.

Courses available in French or English, online or in person in Brussels or the surrounding area.

Jeremy

5.0

(41)

Greetings!

This lesson is only for already existing students that want to mix online webcam sessions with in person lessons. If you're interested in having classes with me, please have a look at my other listed classes.

Thank you for your comprehension!

Kevin

5.0

(41)

Swiss-Focused Mathematics, Physics & Chemistry Tutoring – Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität, QV & Adult Education

This class is designed for students and adult learners in Switzerland who want serious, structured and exam-focused support in Mathematics, Physics and Chemistry. The main focus is preparation for Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität and QV/final apprenticeship exams, as well as support for learners in adult education who are returning to study, changing career direction or preparing for a new academic path.

What makes my tutoring different is the strong connection to the Swiss education system. I completed my master’s degree at a University of Applied Sciences in Switzerland and have many years of experience teaching students in Switzerland. This means my lessons are not generic international tutoring. They are built around Swiss school expectations, Swiss exam styles, Swiss curricula and the specific challenges faced by learners in Switzerland.

➜ Special focus on Passerelle preparation
The Passerelle is one of the most demanding Swiss pathways because it requires strong discipline, independent thinking and solid exam technique. I help students prepare systematically in Mathematics, Physics and Chemistry by working through the required theory, typical task types, old exams and exam-style practice.

➜ BMS and Berufsmaturität support
For BMS and Berufsmaturität students, I provide structured help in Mathematics, Physics and Chemistry, depending on the programme and exam requirements. We focus on building strong foundations, closing gaps and applying methods correctly in exam situations.

➜ Matura and Fachmaturität preparation
I support students preparing for Matura and Fachmaturität exams with clear explanations, relevant exercises and a structured learning plan. The lessons help students understand difficult topics, organize their knowledge and gain confidence before important assessments.

➜ QV / final apprenticeship exam preparation
Many vocational students need Mathematics, Physics or Chemistry for their QV/final apprenticeship exams, especially in technical, scientific, laboratory, healthcare or engineering-related fields. I help students connect theory with practical calculations and exam-style tasks.

➜ Adult education and returning learners
I also work with adult learners who are returning to education after a break, preparing for Passerelle, Berufsmaturität, Fachmaturität, QV or further studies. Adult learners often need a clear, respectful and efficient teaching style. I explain from the foundation upward, without judgment, and help rebuild confidence step by step.

➜ Mathematics, Physics and Chemistry taught with equal seriousness
The focus is not only Mathematics. Physics and Chemistry are also important, especially for Passerelle, Matura, Fachmaturität, technical BMS directions, QV exams and later studies. I explain formulas, concepts and calculations clearly so students understand the logic behind the subject.

➜ Old exams and Swiss-style practice
Where suitable, I use old exams, typical Swiss exam questions and realistic practice material. Students learn how questions are asked, how to recognize the correct method, how to structure their solutions and how to avoid common mistakes.

➜ Clear step-by-step method
Every task is approached with a simple structure: What is given? What is required? Which formula, law or method is suitable? Why does it apply? Then we solve the task step by step with all formulas, calculations and explanations.

➜ Why choose a Swiss-focused tutor?
Many tutors may know Mathematics, Physics or Chemistry, but Swiss exams often have their own wording, structure and expectations. Because I studied in Switzerland and have taught Swiss students for years, I can prepare learners in a much more targeted and relevant way.

➜ For serious students who want real progress
This class is ideal for students and adult learners who want to pass an important exam, improve their grades, close knowledge gaps, prepare for further studies or gain more confidence in Mathematics, Physics and Chemistry.

➜ Success-oriented preparation
My goal is to help students build real understanding, not just short-term memorization. With clear explanations, structured practice, old exam material and consistent preparation, students can develop the confidence and exam technique needed to perform at their best.