Foundations of Mathematics: Comprehensive Geometry and Algebra

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From 30 £ /h

Course Description: Mathematics, Geometry, and Algebra

This course is designed to provide students with a comprehensive understanding of mathematics, focusing on the foundational concepts in geometry and algebra. The curriculum is tailored to enhance critical thinking, problem-solving abilities, and the ability to apply mathematical principles to real-world scenarios.

Geometry Module
The geometry section covers the study of shapes, spaces, and their properties. Students will explore concepts such as:

Euclidean Geometry: Understanding points, lines, planes, angles, and polygons.
Transformational Geometry: Analyzing symmetry, reflections, rotations, and translations.
3D Geometry: Examining solids, surface area, and volume of three-dimensional figures.
Analytic Geometry: Using coordinate systems to represent geometric objects and solve problems.
Applications: Real-world geometric problems and their applications in fields like engineering, architecture, and design.
Algebra Module
In the algebra module, students develop skills in manipulating symbols and solving equations, covering:

Basic Algebra: Operations, factoring, and solving linear and quadratic equations.
Advanced Algebra: Working with polynomials, rational expressions, exponents, and logarithms.
Systems of Equations: Solving systems using substitution, elimination, and matrix methods.
Functions and Graphs: Exploring linear, quadratic, exponential, and logarithmic functions.
Abstract Algebra (Advanced topics): Introduction to groups, rings, and fields for students interested in theoretical aspects.
Course Goals

By the end of this course, students will be able to:

Analyze complex mathematical problems with clarity and precision.
Apply geometric and algebraic principles to model and solve real-life scenarios.
Develop a strong foundation for higher-level studies in mathematics or related fields.
This course offers a blend of theoretical exploration and practical application, making it ideal for students looking to deepen their mathematical understanding or pursue studies in STEM disciplines.

Location

Online from Algeria

About Me

Walid is a dedicated mathematician with a strong background in geometry and algebra, holding a master's degree in these fields and over five years of teaching experience. Passionate about both the theoretical and applied aspects of mathematics, Walid excels at breaking down complex concepts to make them accessible and engaging for students at all levels. His expertise spans across core mathematical principles as well as more advanced topics in geometry, topology, and algebra, making him an adaptable and insightful educator.

In addition to his teaching, Walid is committed to ongoing research in mathematics, especially within the realms of geometry and topology. Known for his analytical mindset, critical thinking skills, and drive to inspire others, he brings both depth and energy to his teaching and research.

Education

im walid boutaghou student and i have master algebra and geometry at the university of Université des Sciences et de la Technologie Houari Boumediene in algeria

Experience / Qualifications

Walid is a skilled mathematician and educator with over five years of experience in teaching mathematics, specializing in geometry and algebra. Holding a master's degree in algebra and geometry, Walid has taught students across various educational levels, developing a strong ability to convey complex mathematical ideas with clarity and enthusiasm.

Key Qualifications:
Master's Degree in Algebra and Geometry: Advanced studies in these fields have equipped Walid with in-depth theoretical knowledge and the skills needed to explore complex mathematical concepts.
Teaching Experience: With over five years of both experience, he has taught foundational and advanced topics in mathematics, ensuring that students build a solid understanding of the subject.
Curriculum Development: Walid has experience in designing comprehensive mathematics courses, focusing on making geometry and algebra approachable and engaging, while also preparing students for higher-level studies.
Research Background: Active in his research pursuits, especially within the realms of geometry and topology, Walid is deeply invested in staying updated with current trends and advancements in the field of mathematics.
Skills:
Analytical and Problem-Solving Skills: Walid's background allows him to break down complex problems and present clear, logical solutions.
Student-Centered Teaching Approach: He prioritizes the needs and learning styles of his students, ensuring they have the support to understand and apply mathematical principles effectively.
Adaptability and Growth-Oriented Mindset: Walid continuously seeks opportunities to expand his own knowledge and inspire students, making him a flexible and forward-thinking educator.

Age

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

90 minutes

The class is taught in

French

English

Arabic

Skills

Math

Geometry

Algebra

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

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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.

Kevin

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► Online Mathematics, Physics & Chemistry Tutor from Switzerland
► GCSE, IGCSE, A-Level, IB & International School Support
I completed my Master’s degree in Business Information Systems at a Swiss University of Applied Sciences, where my main academic focus was strongly connected to Mathematics, Physics, analytical thinking and problem-solving. This technical background shaped the way I teach today: clearly, logically and with a strong focus on real understanding.
► EXTENSIVE EXPERIENCE WITH GCSE, IGCSE, A-LEVEL, IB & INTERNATIONAL SCHOOL STUDENTS
With many years of teaching experience, I have successfully supported students from prestigious schools and highly demanding academic programmes, helping them strengthen their understanding, master exam techniques and achieve excellent progress in Mathematics, Physics and Chemistry.

► Exam Preparation & Academic Support

► GCSE & IGCSE Mathematics, Physics and Chemistry
I help students build a strong foundation through clear explanations, topic-by-topic revision and carefully selected exam-style practice. My lessons focus on understanding the core ideas, improving calculation skills, avoiding common mistakes and preparing students confidently for their final exams.

► A-Level Mathematics, Further Mathematics, Physics and Chemistry
A-Level subjects require deeper thinking, strong problem-solving ability and excellent exam technique. I support students with advanced concepts, structured revision, challenging practice questions and university preparation, especially for demanding fields such as Engineering, Medicine, Computer Science, Economics and Natural Sciences.

► International Baccalaureate — IB Mathematics, Physics and Chemistry
I provide structured support for both Standard Level and Higher Level students. My focus is on deep conceptual understanding, clear mathematical reasoning, scientific explanation and strong exam performance. Students learn how to approach complex IB-style questions with confidence and precision.

► International School Programmes
I support students following international, bilingual and private school curricula. Since every school can have slightly different expectations, I adapt my teaching to the student’s syllabus, textbook, teacher requirements and exam format, ensuring that the lessons are directly useful for school success.

► University & Foundation Courses
For older students, I offer support in Mathematics, Physics, Chemistry, Statistics and technical modules. I help students understand difficult theory, work through assignments, prepare for exams and strengthen the analytical skills needed for university-level study.

► How I Teach
► I focus on understanding, not memorisation.
I explain concepts step by step until the student truly understands why a method works.
► I adapt every lesson to the student.
Every student learns differently, so I adjust my teaching style, pace and examples individually.
► I simplify difficult topics.
Complex problems become easier when they are broken into clear, logical steps.
► I close knowledge gaps.
I identify missing foundations and rebuild them carefully so the student gains confidence.
► I train exam technique.
Students learn how to read questions properly, avoid common mistakes and solve problems under exam conditions.

► 100% COMMITMENT TO YOUR SUCCESS
With clear guidance, focused practice and a personalized learning strategy, I am fully committed to helping you understand deeply, improve consistently and achieve your strongest possible results.

► My Goal
My goal is not only to improve grades, but to help students become confident, independent and motivated learners. With the right guidance, Mathematics, Physics and Chemistry become clear, logical and much easier to master.
► Subjects: Mathematics, Physics, Chemistry
► Levels: GCSE, IGCSE, A-Level, IB, International School, Foundation Courses, University Modules
► Focus: Understanding, confidence, exam success and long-term academic progress.

Raef

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(41)

As a qualified and experienced teacher with consistently high grades for all my students, I offer private or group lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, and Geology to students from primary school to the final year of high school, and first year of university. I provide online lessons using a professional method on an interactive whiteboard shared via a link. This whiteboard includes spaces, dozens of pages, and is equipped with tools (different colored pens, ruler, geometric tools, eraser, etc.). Students can save, write, and project their work on the board.
This course is also intended for high school students, CNED students and those in the English program (IB International School or other sections).
Special offer of reduced rate for the group of 2 or 3 or 4 students only in virtual class. The hourly rate will be further reduced for each.
The work will be done via the shared interactive whiteboard, the call will be via WhatsApp, and an offer of a free mini session will be made after booking.
Do not hesitate to write to me for more information.

Marie-Lucie

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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.

Christopher

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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.

David

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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.

I have helped more than 600 private students score top grades across these top international programs and entrance exams:
* IB DP: Math AA/AI (HL/SL), Physics (HL/SL), IA & EE
* AP: Calculus AB/BC, Precalculus, Physics 1/2/C (Mechanics, E&M), Statistics
* UK A-Levels & IGCSE: Pure Math, Further Math, Mechanics, Stats, Physics (CIE, Edexcel, AQA, OCR)
* US Standardized Tests: Digital SAT Math, ACT Math/Science, PSAT, SSAT, ISEE
* Oxbridge & UK Admissions: STEP, TMUA, PAT, ESAT, MAT
* US & EU University Placement: ALEKS, ACCUPLACER, CLEP, Bocconi Test, TOLC-I, Swedish Matematikprovet, German Studienkolleg FSP

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

Amin

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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.

Salah

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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.

Baia

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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.

Mariem

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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...

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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!”

Khalid

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Are you looking for comprehensive and personalized tutoring to boost your skills and confidence in mathematics, excel in the IELTS exam, or prepare for the OMPT-D test? Look no further! I offer specialized one-on-one and group tutoring tailored to meet the individual needs of students in three key areas:

Middle School Mathematics:
Master essential math concepts, including algebra, geometry, fractions, decimals, percentages, and more.
Develop problem-solving strategies, logical thinking, and a strong foundation in mathematics.
Tailored lessons designed to match your pace and help you succeed in school assessments and standardized tests.
IELTS Exam Preparation:

Focused preparation for all four sections of the IELTS:
Listening, Reading, Writing, and Speaking.
Practice with real IELTS materials, timed mock tests, and personalized feedback on essay writing and speaking responses.
Learn effective strategies for achieving your desired band score, whether it's for academic purposes or immigration.

OMPT-D Prep (Online Mathematics Proficiency Test):
Comprehensive preparation for the OMPT-D, focusing on calculus, algebra, and problem-solving skills.
Step-by-step explanations of complex mathematical concepts and sample test problems.
Tailored strategies to optimize your performance on this challenging university entrance exam.

Why Choose Me?

Experienced Tutor
Engaging and interactive Teaching Style
Flexible Scheduling
Personalized Feedback on weaknesses to improve

Let’s work together to achieve your academic goals and unlock your full potential!

Reza

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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! :)

Jeremy

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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!

Nirajan

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**Master Grade 6-10 Physics with Confidence – Understand Concepts, Solve Numericals, and Excel in Exams!**

Are you finding Physics difficult or struggling with numerical problems, scientific formulas, and complex concepts? My Grade 10 Physics classes are designed to make learning Physics simple, interesting, and enjoyable through clear explanations, practical examples, and step-by-step problem-solving techniques.

**About Me**

My name is **Nirajan Adhikari**, and I hold a Bachelor of Science in Physics and a Master of Science in Physics from Kathmandu University, Nepal. With my strong academic background in Physics and experience in teaching, I focus on helping students understand scientific principles rather than simply memorizing formulas.

**What Will You Learn?**

My lessons cover essential Grade 10 Physics topics, including:

- **Force and Motion:** Newton's laws, acceleration, momentum, gravity, and equations of motion.
- **Work, Energy, and Power:** Kinetic energy, potential energy, conservation of energy, and numerical applications.
- **Heat and Temperature:** Heat transfer, specific heat capacity, thermal expansion, and related calculations.
- **Light and Optics:** Reflection, refraction, lenses, mirrors, and ray diagrams.
- **Electricity:** Electric current, voltage, resistance, Ohm's law, electrical circuits, and power.
- **Magnetism:** Magnetic fields, electromagnets, and electromagnetic effects.
- **Waves and Sound:** Wave properties, frequency, wavelength, and sound propagation.
- **Numerical Problem-Solving:** Formula selection, unit conversions, mathematical calculations, and examination techniques.

Topics will be adjusted according to your school syllabus and examination requirements.

**My Teaching Method**

I believe every student can succeed in Physics with the right explanation, guidance, and practice.

My lessons include:

✅ Simple explanations of difficult Physics concepts.

✅ Real-life examples to understand scientific principles.

✅ Step-by-step solutions to numerical problems.

✅ Diagrams, illustrations, and interactive discussions.

✅ Practice questions, homework support, and regular assessments.

✅ Past examination questions and revision strategies.

✅ Personalized lessons based on individual learning needs.

**Who Can Join?**

These classes are ideal for Grade 6-10 students following A level curriculum, GCSE, IGCSE, or other equivalent secondary school curricula.

Whether you need help understanding basic concepts, improving your grades, completing assignments, or preparing for final examinations, I will support you throughout your learning journey.

**Why Choose My Classes?**

As a postgraduate in Physics, I bring strong subject knowledge, analytical thinking, and a structured teaching approach to every lesson. I explain complicated concepts in a simple and understandable way, helping students develop confidence and independent problem-solving skills.

My goal is not just to help you pass your examination but to build a strong foundation in Physics for your future studies.

**Start Your Physics Learning Journey Today!**

Join my Grade 10 Physics classes and discover how interesting and understandable Physics can be.

**Learn the concepts. Practice the numericals. Build confidence. Achieve better results!**