Foundations of Mathematics: Comprehensive Geometry and Algebra

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From 35 € /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 -05:00)

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

(40)

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.

Raef

5.0

(40)

Experienced for more than 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology and Geology to students in the French program of Terminales, Bac 1ère, Seconde and Brevet as well as students from CNED or international (European from grade 8 to 12) competitions and medical university preparatory classes or 1st and 2nd year university either at home or by internet online using the virtual class method with a very professional and specific shared interactive whiteboard.
My students' results are marked GOOD, VERY GOOD AND EXCELLENT each year.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Bibek

5.0

(40)

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 the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Rania

5.0

(40)

The SAT exam is one of the major steps you need to go through in your life; it's a step that is going to determine your college, your university, and your future as a whole. As with a lot of things in life, it can be a hard step, and there is no shame in asking for help. Here comes my role: I will help you overcome your problems and your difficulties. My job here is to help you achieve your desired results and unlock your potential. Simply put, we will go through every lesson, every unit, and every chapter. We will understand the concept of each lesson, with clear examples to follow. After each one, you will be tested, and after finishing your program, you will be tested on it. That's my plan for my students, so if you are interested, you can easily contact me.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Prashil

5.0

(40)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Chun

5.0

(40)

Math is a nightmare for most of the students, if they do not understand the principle of math. Those who are good at math are usually bad at teaching math. Explore the method to learn math in a more principled and structural way, instead of memorising solution.

Shweta

5.0

(40)

his mathematics class is designed to support and challenge students aged 7 to 17, adapting to their school level, learning pace, and individual goals. Whether a student is building foundational skills, catching up, or aiming to excel, the class provides a structured, engaging, and confidence-building learning environment.

What the Class Will Be Like

1. Personalized Learning: Each student’s current level is assessed first.
Lessons are tailored to match school curriculum requirements and personal strengths or difficulties.
Younger students focus on understanding concepts, while older students work on accuracy, speed, and depth of problem-solving.

2. Concept-First Approach: Emphasis is placed on why mathematics works, not just memorizing formulas.
Concepts are explained using simple language, visuals, real-life examples, and step-by-step reasoning.
Students are encouraged to ask questions freely and think out loud.

3. Age-Appropriate Topics:
Ages 7–10: Number sense, basic arithmetic, fractions, shapes, measurements, and logical thinking through games and activities.
Ages 11–14: Integers, ratios, percentages, algebra basics, geometry, data handling, and word problems.
Ages 15–17: Advanced algebra, equations, functions, trigonometry, coordinate geometry, statistics, and exam-oriented problem solving.

4. Interactive and Engaging Sessions:
Lessons include practice problems, short challenges, quizzes, and guided problem-solving.
Mistakes are treated as learning opportunities to build confidence.
Students are taught multiple methods to solve problems, helping them choose what works best for them.

5. Skill Development Beyond Exams:
Logical reasoning and analytical thinking
Time management and structured problem-solving
Confidence in approaching unfamiliar questions independently

6. Regular Feedback and Progress Tracking:
Continuous feedback is given to students and parents.
Weak areas are revisited until clarity is achieved.
Improvement is tracked over time, not just through marks but through understanding.

Learning Environment: The class atmosphere is supportive, patient, and motivating, ensuring students feel comfortable learning at their own pace while being gently challenged to grow.

Goal of the Class:
To help students not just do mathematics, but understand it, enjoy it, and feel confident using it—both in school and beyond.

Malavika

5.0

(40)

I will,
- go over the necessary material from the recommended textbook or reference book,
- solve questions in class that bolster the understanding of these concepts,
- connect these concepts to real-world use cases and
- provide mentorship to perform well in exams.

Hajira

5.0

(40)

Struggling with numbers? I can help! As a university student in Magdeburg, I offer patient and engaging Math tutoring for school students. I specialize in making complex concepts like fractions, basic algebra, and geometry easy to understand. My goal is to help students build confidence, improve their grades, and actually enjoy solving math problems. Lessons are tailored to each student's school curriculum.

Sandra

5.0

(40)

To encourage and stimulate learning in the subjects taught, as well as their desire to learn more through various tools or techniques that facilitate their understanding.
Encouraging at all times the motivation and desire to continue learning.

Joash

5.0

(40)

This course is designed to help you truly understand mathematics in a structured and practical way. Whether you are struggling with the basics or working toward advanced topics, lessons are tailored to your level and goals.

We focus on building strong foundations in algebra, functions, calculus, and problem-solving strategies. Instead of memorizing steps, you will learn to understand concepts and apply them confidently to exams and real-life problems.

Each lesson is interactive and structured, with step-by-step explanations using a digital whiteboard. The goal is steady progress, deeper understanding, and growing confidence in mathematics.

Kareem

5.0

(40)

Teaching mathematics and physics for GCSE and American programs.

I do 1:1 and group sessions .

working with students to achieve the best out of them.

Depending on students’ goals. Fabricating personalized learning schemes to help attaining desired grades

Sabrina

5.0

(40)

Hi I'm a college student, I have advanced knowledge in subjects like, algebra, calculous, math in general, physics, and some statistics. Also, I'm a native Spanish speaker, so I can also help you with grammar, pronunciation. My main goal is to help you understand the topics that you struggle with, because in my experience, sometimes what you need is a different approach of how things are done rather than it being too difficult.