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Since September 2024
Instructor since September 2024
Translated by GoogleSee original
Math Tutor from 7th grade to 12th grade
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From 69 C$ /h
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I'm Carmen and I'm a mathematician. I'm currently a teacher at a high school in Madrid from 7th to 12th grade. I can help you with any branch of mathematics (algebra, calculus, statistics, etc.). In Spain I'm a math tutor for several students. The classes I teach go from 1pm to 5pm. I teach in Spanish although I can speak English since I studied in the United States during my junior and senior years of high school.
Location
location type icon
Online from Spain
About Me
Do you need help with math? I’m here to help!

I’m Carmen, a mathematics graduate with a passion for teaching and experience helping students at all levels. I offer personalized lessons tailored to your needs, whether you're looking to improve your understanding, prepare for exams, or strengthen key concepts.

My approach focuses on teaching students to reason and think, not just memorize formulas. You'll learn to solve problems with confidence and build a solid understanding of the concepts.

I offer help in:

Basic Math
Algebra
Geometry
Trigonometry
Calculus
Exam Preparation

Format: Online
Education
Graduate in Mathematics and in the Master's Degree in Secondary Education with a specialization in Mathematics. 2 years of internship in two different High Schools
Experience / Qualifications
More than 6 years of private Math tutoring and 1 year as a Math teacher at a Spanish High School from 7th grade to 12th grade.
Age
Teenagers (13-17 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
The class is taught in
Spanish
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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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:

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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.

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

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If you have any questions, do not hesitate to contact me. I will be happy to help you.
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With over 18 years of experience, I offer private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students in French or international (English) programs, including Terminale, Bac, 1ère, Seconde, Brevet, competitive exams and university preparatory classes for medical or first-year university students, either at home or online using a virtual classroom method with a shared interactive whiteboard, in addition to Zoom for communication.
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and many more...

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➜ Special focus on Passerelle preparation
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➜ BMS and Berufsmaturität support
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➜ QV / final apprenticeship exam preparation
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Since I am a Croat (and have spoken both Croatian and English since birth) I offer Croatian language classes as well and up to the very same high standards (grammar explanations, conversation practice and the standard accent guidance). So I speak Croatian using the language standard accent as spoken in the State official informing services, Universities and Institutions.
Maths is the third subject I can help you with and which I deal with (as an Architect I have studied Maths as well). There are three things I'd like to say... - Maths is a game, using brain gymnastics, a responsible discipline applied everywhere, universaly used and one of the most important ones, but still a game and with similar joy it keeps inside of itself released when one is winning or solvng a Maths problem... - the most beautiful and elegant and almost always the shortest, as so, solution is - the best one - and that is both for what I mostly seek for and teach for regarding Maths.. - and third but not less important is a message - Maths is actually more simple than one, who fears, often thinks it to be ! Along with being an optimist the best way to be free of fear is - to start learning on time and being regular with it.
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Learning English can be more fun and meaningful when you use it to talk about subjects you already enjoy!

I am a Licensed Professional Teacher and Science major with experience teaching both online and in the classroom. I have taught English to international learners through ESL classes and currently teach Physics, Chemistry, and Science to Junior and Senior High School students.

In my English classes, students can improve their speaking, pronunciation, vocabulary, grammar, reading, listening, and everyday communication skills through interactive and age-appropriate activities. I use conversations, questions, games, visual materials, and real-life situations to help students become more confident English speakers.

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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.

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

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

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

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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.
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I teach one-to-one Maths and Physics to GCSE, A-Level and university students, online and in person around Birmingham.

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

What I cover:

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

How I teach:

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

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

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

Term has just started, which is the best point in the year to build a routine before mocks in November and December. If your child is beginning Year 11 or Year 13, or retaking GCSE Maths this November, putting support in place now makes a real difference by the time the real papers arrive.
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Swiss-Focused Mathematics, Physics & Chemistry Tutoring – Passerelle, BMS, Berufsmaturität, Matura, Fachmaturität, QV & Adult Education

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

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

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

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

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

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

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

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

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

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

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

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

➜ Success-oriented preparation
My goal is to help students build real understanding, not just short-term memorization. With clear explanations, structured practice, old exam material and consistent preparation, students can develop the confidence and exam technique needed to perform at their best.
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English language has become more than just a language. It is a presumed matter of modern culture and a basic tool for - everything. I am offering this language part, as a person who was born in UK, with a tone of clear and precise standard British accent (Received pronunciation, King'sEnglish, Oxford English) and with a sound of British culture and history. I act therefore as an accent coach as well along with teaching grammar and conversation practice.
Since I am a Croat (and have spoken both Croatian and English since birth) I offer Croatian language classes as well and up to the very same high standards (grammar explanations, conversation practice and the standard accent guidance). So I speak Croatian using the language standard accent as spoken in the State official informing services, Universities and Institutions.
Maths is the third subject I can help you with and which I deal with (as an Architect I have studied Maths as well). There are three things I'd like to say... - Maths is a game, using brain gymnastics, a responsible discipline applied everywhere, universaly used and one of the most important ones, but still a game and with similar joy it keeps inside of itself released when one is winning or solvng a Maths problem... - the most beautiful and elegant and almost always the shortest, as so, solution is - the best one - and that is both for what I mostly seek for and teach for regarding Maths.. - and third but not less important is a message - Maths is actually more simple than one, who fears, often thinks it to be ! Along with being an optimist the best way to be free of fear is - to start learning on time and being regular with it.
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Learning English can be more fun and meaningful when you use it to talk about subjects you already enjoy!

I am a Licensed Professional Teacher and Science major with experience teaching both online and in the classroom. I have taught English to international learners through ESL classes and currently teach Physics, Chemistry, and Science to Junior and Senior High School students.

In my English classes, students can improve their speaking, pronunciation, vocabulary, grammar, reading, listening, and everyday communication skills through interactive and age-appropriate activities. I use conversations, questions, games, visual materials, and real-life situations to help students become more confident English speakers.

For students who enjoy academic learning, I can also incorporate Math and Science topics into English lessons. This allows students to practice English while learning useful academic vocabulary, explaining ideas, solving simple problems, and discussing scientific concepts.

Lessons are adjusted to the student's age, English level, learning goals, and interests. Whether you are a beginner learning your first English words or an intermediate learner who wants to become more confident speaking English, I will create a supportive and engaging learning environment.
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