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Since June 2020
Instructor since June 2020
Math, English, Organisation of Work and Test Prep Tutoring
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From 25 C$ /h
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I specialise in tutoring Mathematics, English, Organisation of Work and Test Prep for school and exams. My goal is to keep students challenged, but not overwhelmed. I aim to help the understanding of these subjects and have students gain skills from my tutoring and know hot to apply and utilise them. I assign homework after every lesson or every few lessons and provide periodic progress reports.
Extra information
Bring your own writing utensils (notebook, computer etc.), calculator for mathematics.
Location
location type icon
Online from United Kingdom
Age
Preschool children (4-6 years old)
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
English
Availability of a typical week
(GMT -04:00)
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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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.
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An experienced teacher with degrees from the Faculties of Science and Medicine for over 18 years offers private tutoring at home or online using a modernized method in Mathematics, Analysis, Matrices, Statistics, Algebra, Physics, Chemistry, and Biology, following the French curriculum, for students in their final year of high school (Terminale), penultimate year of high school (1ère), second year of high school (Seconde), Brevet exam preparation, competitive entrance exams, and university preparatory classes. Also available for students in the IB international program (taught in English).
Program and prices specific to the countries of South America which ends their program later where I can be there with help to better prepare CNED's homework
My final year students' results were with the grades VERY GOOD, GOOD and EXCELLENT.
Feel free to contact me for more information; I will reply within minutes at 12 PM.
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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.
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I'm a Natural Sciences student at the University of Birmingham looking to tutor science or maths online over the summer. I can tutor any level from KS1 - GCSE for physics, and KS1 - A Level for chemistry, biology, and maths. I aim to give confidence and enjoyment in the subject, working with my student's own interests as well as following a syllabus. I am flexible to work with what you want to achieve.

I have two years tutoring experience, especially with home-educated children, and can provide references if needed. I am DBS checked with GirlGuiding UK.
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I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.
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I'm offering individual and personalized classes according to your level , groups also are welcome to join. I help beginners speak confidently also I will adapt to your needs and objectives :Grammar, conversation, vocabulary and culture.
My method will take you step by step to meet your goal! I am dynamic, easy-going and full of energy!
All material will be provided to you by email.
Lessons are well organized
I can suggest a weekly task

In addition, I can provide support in proofreading and translation. If you need help, I am here to listen.
About me:
Highly qualified English teacher, who prefer many methods of interacting with learners, because I think that every student has their own way of learning. I have gained extensive experience from my previous studies in the Master of Language Teaching Methods, my researches also have helped me to have a huge background about language aquisition, plus that I have worked as a tutor and translator in Europe for years.
So
Book your first lesson today because :
My students improved their grades by 30%
Learning new language can open extra doors for your career path.
I'm glad to put my experience in your service and answer your questions.
Any age or level is welcome also students of school or university.
I can lead you to pass international tests such as TOEFL and IELTS.
Language of teaching can be English, Arabic, French or Spanish.
Classes can be via Skype or zoom etc...
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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!
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The objective is that: the learner masters the English language (🎧listening-comprehension,🎤 conversation, 📚 reading, grammar-pronunciation, writing...). It helps him to have language skills like native speakers. 🥇

At the same time, the learner will be 🚴‍♀️dynamic and well supervised by professional tutors who listen.
The atmosphere is distinguished: 🔥learning, interaction, no routine, no stress.

The learning tools used; videos, audios, texts, articles, images, games, stories...

We are happy to help both adults and pupils/students. If you want to learn the English language (reading, grammar, oral conversation, written production,...) or you have homework to do, or competitions/tests to take, 🏆 contact us :)
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My name is Fawzi, and I am a French language teacher. Since 2012, I have been giving private lessons online. My objective is to support learners towards success in the DELF (Diploma of Studies in French Language) or the DALF (Advanced Diploma in French Language), as well as the TCF (French Knowledge Test). I have had the pleasure of helping many students of different nationalities through my online courses. For me, helping enthusiasts practice the French language is an enriching experience, because I understand the importance of success in the lives of ambitious people.

I speak Arabic, French, Spanish, a little English and a little Turkish. During my classes, I explain concepts in French, Arabic or Spanish, depending on your preference. At the end of each session, I offer exercises to do as homework, in order to identify your gaps and monitor your progress.

Here are some essential points to know about the DELF and DALF:
- The DELF (Diploma in French Language Studies) and the DALF (Advanced Diploma in French Language) are two high-quality official diplomas. They are aligned with the levels of the Common European Framework of Reference for Languages and cover the following six levels, from the most basic to the most advanced: A1, A2, B1, B2, C1, C2. These diplomas are suitable for all ages and all audiences.
- The DELF B2 and, increasingly, the DALF C1, provide access to French, European or French-speaking universities, as well as certain Grandes Ecoles.

If you plan to take DELF or DALF exams, or if you want to improve your level, do not hesitate to book your sessions with me to start preparation. I am available !
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Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).
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Learn Spanish in a fun, easy, and engaging way with a certified teacher, official DELE examiner, and IB-trained educator.

✨ FLUENCY · EXAMS · LIVING IN SPAIN · TRAVEL & BUSINESS ✨

Are you planning to travel, study, work, or live in Spain or another Spanish-speaking country? Are you preparing for the DELE or another official Spanish exam, such as the SIELE, IB, or IGCSE? Are you a complete beginner, or do you already know the grammar but still find it difficult to have a fluent conversation?
You’re in the right place to take that big step!

I’m a certified Spanish teacher and official DELE examiner at the Instituto Cervantes, with:

🎓 PhD candidate in Applied Linguistics for Language Teaching
🎓 Master’s in Spanish as a Foreign Language
🎓 Master’s in International Education and Bilingualism with IB certification

I teach children, teenagers, and adults at all levels, with lessons tailored to your goals:

✅ DELE and exams preparation
✅ Speaking fluency and confidence
✅ Spanish from beginner to advance
✅ Real-life communication skills

Each class includes personalized planning, clear objectives, and close guidance so you can make progress from the very first lessons.

Take the next step in your Spanish journey, let’s start!

My lessons combine:
🗣️ An active communicative approach
📚 Clear and practical grammar explanations
🎯 Real-life language use and confidence-building activities

If you are preparing for exams, I provide:
✅ Structured exam preparation
✅ Practice with all exam sections
✅ Personalized feedback and strategies
✅ Continuous support to help you feel confident on exam day

I teach online from Japan with a flexible schedule, and I am happy to adapt lessons to your availability while helping you achieve solid and measurable progress.

Whether your goal is:
✈️ Traveling
💼 Professional communication
🎓 Academic purposes
📖 Official certification
💬 Improving fluency and confidence

I would be delighted to support you on your Spanish-learning journey.

📩 Contact me, and together we will create your personalized study plan!
And if you enjoy the lessons, I would truly appreciate your review 😊🌟

¡Nos vemos en clase! — See you in class!


I offer individualized programs for all levels of the Common European Framework of Reference (A1-C2), specializing in:

📘 General Spanish (Beginner to Advanced)
Progress from beginner to advanced level with a structured, dynamic, and fully communicative method. Classes are completely personalized to adapt to your goals, learning pace, and learning style, helping you improve steadily and confidently.

🎯 Personalized Classes
Classes tailored to your specific goals: travel, work, studies, interviews, or presentations. Learn the Spanish you actually need with a practical and results-oriented approach from the very first class.

🗣️ Conversation Classes
Personalized training for concrete contexts such as travel, professional settings, academic environments, or presentation preparation. My classes focus on real conversation from the very first minute, always adapting to my students’ interests and goals. Ideal if you understand Spanish but don’t feel confident speaking yet, or if you want to become fluent quickly for real-life situations.


🎨🎲 Spanish Classes for Children (Ages 6*-12)
Dynamic and interactive lessons specially designed for children. We use games, songs, stories, and age-appropriate activities so they can learn Spanish naturally, creatively, and in a motivating environment * Children should already be able to read and write in their native language.

📝 Official Exam Preparation (DELE, SIELE, IB, IGCSE, CCSE)
Maximize your score with the guidance of a certified examiner. You will learn real exam strategies, practice with official materials, and receive continuous personalized support so you can take your exam with confidence and peace of mind.

🎓 Spanish for Admission to Spanish Universities
Linguistic and academic preparation designed to meet entry requirements and help you succeed in a university environment.

Feel free to tell me if you would like to focus on a specific skill or if you prefer a particular teaching style. Every program is carefully designed around your goals, interests, and learning preferences.

I teach online from *Japan* with a very flexible schedule, and I will be happy to adapt classes to your availability while guiding you toward solid and measurable progress.
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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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*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

I am an MSc CIvil Engineering, M.Sc Finance and Economics, and an MBA graduate with over 14 years of experience teaching Mathematics up to the undergraduate level. Over the years, I have worked with a wide range of students and have successfully helped them excel in their studies. In addition to my extensive teaching background, I have more than 8 years of experience guiding students through standardized tests such as the GRE and SAT. My goal is to help you master these tests with effective strategies and a clear understanding of the subject matter.

My Mathematics lessons are tailored for students of all levels, including:
Master and Bachelor Students (subjects like Financial Mathematics, Business Mathematics, Basics of Mathematics for data science students, etc)
Pre-university students
IB (Math SL and Math HL) students
AS/A-level students
European S6 and S7 students
GCSE and IGCSE students
Primary school students

In addition to Mathematics, I also offer tutoring in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students.

For Biology, I provide comprehensive lessons for students up to the European Secondary level, GCSE, and IGCSE levels. My teaching style is flexible and adaptable, ensuring that every student receives personalized guidance based on their learning style and goals.

Currently, I am teaching a diverse group of students from different educational backgrounds.

My current students are from the following schools:

National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

Additionally, I offer homework assistance and track each student's progress through periodic assessments, which can be scheduled based on the requirements of both students and parents.

Note: While some of my students follow curriculums in French, German, or Swedish, my primary language of instruction is English. Given that Mathematics is a universal language, it’s easy to understand the tasks, and I explain solutions clearly in English, ensuring a seamless learning experience for all.

Let’s embark on this learning journey together and achieve your academic goals with confidence!
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It is obvious that school life can be demanding. It's sometimes difficult to juggle daily responsibilities while ensuring your children succeed in French, English, history and geography.

My name is Phillip, and I'm here to lighten the load for you. With over 20 years of experience as a tutor/tutor, my goal is to help you find balance and offer you a valuable helping hand. As an early childhood educator, I am able to understand the unique needs of each child.

In addition to my expertise, I am bilingual in English and French, with American and French-speaking Swiss origins. Currently based in Ireland, I combine an international perspective with a passion for education. You can count on me to provide your children with high-quality lessons in a caring learning environment.

Allow me to take over, answer their questions, and create an environment conducive to their growth. You no longer have to worry about problematic materials.

Contact me today, and together we can pave the way to a positive educational future for your children. You deserve to relax and leave your children's learning in good hands. Let me accompany you on this path to academic success and well-being.
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I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 3 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully
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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.
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An experienced teacher with degrees from the Faculties of Science and Medicine for over 18 years offers private tutoring at home or online using a modernized method in Mathematics, Analysis, Matrices, Statistics, Algebra, Physics, Chemistry, and Biology, following the French curriculum, for students in their final year of high school (Terminale), penultimate year of high school (1ère), second year of high school (Seconde), Brevet exam preparation, competitive entrance exams, and university preparatory classes. Also available for students in the IB international program (taught in English).
Program and prices specific to the countries of South America which ends their program later where I can be there with help to better prepare CNED's homework
My final year students' results were with the grades VERY GOOD, GOOD and EXCELLENT.
Feel free to contact me for more information; I will reply within minutes at 12 PM.
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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.
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I'm a Natural Sciences student at the University of Birmingham looking to tutor science or maths online over the summer. I can tutor any level from KS1 - GCSE for physics, and KS1 - A Level for chemistry, biology, and maths. I aim to give confidence and enjoyment in the subject, working with my student's own interests as well as following a syllabus. I am flexible to work with what you want to achieve.

I have two years tutoring experience, especially with home-educated children, and can provide references if needed. I am DBS checked with GirlGuiding UK.
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I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.
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I'm offering individual and personalized classes according to your level , groups also are welcome to join. I help beginners speak confidently also I will adapt to your needs and objectives :Grammar, conversation, vocabulary and culture.
My method will take you step by step to meet your goal! I am dynamic, easy-going and full of energy!
All material will be provided to you by email.
Lessons are well organized
I can suggest a weekly task

In addition, I can provide support in proofreading and translation. If you need help, I am here to listen.
About me:
Highly qualified English teacher, who prefer many methods of interacting with learners, because I think that every student has their own way of learning. I have gained extensive experience from my previous studies in the Master of Language Teaching Methods, my researches also have helped me to have a huge background about language aquisition, plus that I have worked as a tutor and translator in Europe for years.
So
Book your first lesson today because :
My students improved their grades by 30%
Learning new language can open extra doors for your career path.
I'm glad to put my experience in your service and answer your questions.
Any age or level is welcome also students of school or university.
I can lead you to pass international tests such as TOEFL and IELTS.
Language of teaching can be English, Arabic, French or Spanish.
Classes can be via Skype or zoom etc...
verified badge
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!
verified badge
The objective is that: the learner masters the English language (🎧listening-comprehension,🎤 conversation, 📚 reading, grammar-pronunciation, writing...). It helps him to have language skills like native speakers. 🥇

At the same time, the learner will be 🚴‍♀️dynamic and well supervised by professional tutors who listen.
The atmosphere is distinguished: 🔥learning, interaction, no routine, no stress.

The learning tools used; videos, audios, texts, articles, images, games, stories...

We are happy to help both adults and pupils/students. If you want to learn the English language (reading, grammar, oral conversation, written production,...) or you have homework to do, or competitions/tests to take, 🏆 contact us :)
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My name is Fawzi, and I am a French language teacher. Since 2012, I have been giving private lessons online. My objective is to support learners towards success in the DELF (Diploma of Studies in French Language) or the DALF (Advanced Diploma in French Language), as well as the TCF (French Knowledge Test). I have had the pleasure of helping many students of different nationalities through my online courses. For me, helping enthusiasts practice the French language is an enriching experience, because I understand the importance of success in the lives of ambitious people.

I speak Arabic, French, Spanish, a little English and a little Turkish. During my classes, I explain concepts in French, Arabic or Spanish, depending on your preference. At the end of each session, I offer exercises to do as homework, in order to identify your gaps and monitor your progress.

Here are some essential points to know about the DELF and DALF:
- The DELF (Diploma in French Language Studies) and the DALF (Advanced Diploma in French Language) are two high-quality official diplomas. They are aligned with the levels of the Common European Framework of Reference for Languages and cover the following six levels, from the most basic to the most advanced: A1, A2, B1, B2, C1, C2. These diplomas are suitable for all ages and all audiences.
- The DELF B2 and, increasingly, the DALF C1, provide access to French, European or French-speaking universities, as well as certain Grandes Ecoles.

If you plan to take DELF or DALF exams, or if you want to improve your level, do not hesitate to book your sessions with me to start preparation. I am available !
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Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts, such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).
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Learn Spanish in a fun, easy, and engaging way with a certified teacher, official DELE examiner, and IB-trained educator.

✨ FLUENCY · EXAMS · LIVING IN SPAIN · TRAVEL & BUSINESS ✨

Are you planning to travel, study, work, or live in Spain or another Spanish-speaking country? Are you preparing for the DELE or another official Spanish exam, such as the SIELE, IB, or IGCSE? Are you a complete beginner, or do you already know the grammar but still find it difficult to have a fluent conversation?
You’re in the right place to take that big step!

I’m a certified Spanish teacher and official DELE examiner at the Instituto Cervantes, with:

🎓 PhD candidate in Applied Linguistics for Language Teaching
🎓 Master’s in Spanish as a Foreign Language
🎓 Master’s in International Education and Bilingualism with IB certification

I teach children, teenagers, and adults at all levels, with lessons tailored to your goals:

✅ DELE and exams preparation
✅ Speaking fluency and confidence
✅ Spanish from beginner to advance
✅ Real-life communication skills

Each class includes personalized planning, clear objectives, and close guidance so you can make progress from the very first lessons.

Take the next step in your Spanish journey, let’s start!

My lessons combine:
🗣️ An active communicative approach
📚 Clear and practical grammar explanations
🎯 Real-life language use and confidence-building activities

If you are preparing for exams, I provide:
✅ Structured exam preparation
✅ Practice with all exam sections
✅ Personalized feedback and strategies
✅ Continuous support to help you feel confident on exam day

I teach online from Japan with a flexible schedule, and I am happy to adapt lessons to your availability while helping you achieve solid and measurable progress.

Whether your goal is:
✈️ Traveling
💼 Professional communication
🎓 Academic purposes
📖 Official certification
💬 Improving fluency and confidence

I would be delighted to support you on your Spanish-learning journey.

📩 Contact me, and together we will create your personalized study plan!
And if you enjoy the lessons, I would truly appreciate your review 😊🌟

¡Nos vemos en clase! — See you in class!


I offer individualized programs for all levels of the Common European Framework of Reference (A1-C2), specializing in:

📘 General Spanish (Beginner to Advanced)
Progress from beginner to advanced level with a structured, dynamic, and fully communicative method. Classes are completely personalized to adapt to your goals, learning pace, and learning style, helping you improve steadily and confidently.

🎯 Personalized Classes
Classes tailored to your specific goals: travel, work, studies, interviews, or presentations. Learn the Spanish you actually need with a practical and results-oriented approach from the very first class.

🗣️ Conversation Classes
Personalized training for concrete contexts such as travel, professional settings, academic environments, or presentation preparation. My classes focus on real conversation from the very first minute, always adapting to my students’ interests and goals. Ideal if you understand Spanish but don’t feel confident speaking yet, or if you want to become fluent quickly for real-life situations.


🎨🎲 Spanish Classes for Children (Ages 6*-12)
Dynamic and interactive lessons specially designed for children. We use games, songs, stories, and age-appropriate activities so they can learn Spanish naturally, creatively, and in a motivating environment * Children should already be able to read and write in their native language.

📝 Official Exam Preparation (DELE, SIELE, IB, IGCSE, CCSE)
Maximize your score with the guidance of a certified examiner. You will learn real exam strategies, practice with official materials, and receive continuous personalized support so you can take your exam with confidence and peace of mind.

🎓 Spanish for Admission to Spanish Universities
Linguistic and academic preparation designed to meet entry requirements and help you succeed in a university environment.

Feel free to tell me if you would like to focus on a specific skill or if you prefer a particular teaching style. Every program is carefully designed around your goals, interests, and learning preferences.

I teach online from *Japan* with a very flexible schedule, and I will be happy to adapt classes to your availability while guiding you toward solid and measurable progress.
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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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*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

I am an MSc CIvil Engineering, M.Sc Finance and Economics, and an MBA graduate with over 14 years of experience teaching Mathematics up to the undergraduate level. Over the years, I have worked with a wide range of students and have successfully helped them excel in their studies. In addition to my extensive teaching background, I have more than 8 years of experience guiding students through standardized tests such as the GRE and SAT. My goal is to help you master these tests with effective strategies and a clear understanding of the subject matter.

My Mathematics lessons are tailored for students of all levels, including:
Master and Bachelor Students (subjects like Financial Mathematics, Business Mathematics, Basics of Mathematics for data science students, etc)
Pre-university students
IB (Math SL and Math HL) students
AS/A-level students
European S6 and S7 students
GCSE and IGCSE students
Primary school students

In addition to Mathematics, I also offer tutoring in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students.

For Biology, I provide comprehensive lessons for students up to the European Secondary level, GCSE, and IGCSE levels. My teaching style is flexible and adaptable, ensuring that every student receives personalized guidance based on their learning style and goals.

Currently, I am teaching a diverse group of students from different educational backgrounds.

My current students are from the following schools:

National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

Additionally, I offer homework assistance and track each student's progress through periodic assessments, which can be scheduled based on the requirements of both students and parents.

Note: While some of my students follow curriculums in French, German, or Swedish, my primary language of instruction is English. Given that Mathematics is a universal language, it’s easy to understand the tasks, and I explain solutions clearly in English, ensuring a seamless learning experience for all.

Let’s embark on this learning journey together and achieve your academic goals with confidence!
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It is obvious that school life can be demanding. It's sometimes difficult to juggle daily responsibilities while ensuring your children succeed in French, English, history and geography.

My name is Phillip, and I'm here to lighten the load for you. With over 20 years of experience as a tutor/tutor, my goal is to help you find balance and offer you a valuable helping hand. As an early childhood educator, I am able to understand the unique needs of each child.

In addition to my expertise, I am bilingual in English and French, with American and French-speaking Swiss origins. Currently based in Ireland, I combine an international perspective with a passion for education. You can count on me to provide your children with high-quality lessons in a caring learning environment.

Allow me to take over, answer their questions, and create an environment conducive to their growth. You no longer have to worry about problematic materials.

Contact me today, and together we can pave the way to a positive educational future for your children. You deserve to relax and leave your children's learning in good hands. Let me accompany you on this path to academic success and well-being.
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I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 3 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully
Good-fit Instructor Guarantee
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