1st lesson free
Caleb
- Rate £31
- Response 1h
£31/hr
Contact
1st lesson free
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Maths Tutor | 5+ Years’ Expertise | Mastering Trigonometry & Geometry | School & University Guidance | Exam Preparation & Assignments Made Clear, Easy & Engaging
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Lesson location
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At Caleb's house: Swansea
- Online
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at your home or in a public place : will travel up to 40 km from Swansea
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About Caleb
I am a Maths tutor with over 5 years of experience and a BSc in Mathematics. My expertise lies in guiding students through the fascinating world of mathematical logic and proof theory. I work closely with advanced high school and early university students who are ready to take their reasoning skills to the next level. My teaching emphasises the importance of formal reasoning as the foundation of all higher mathematics. I introduce students to propositional logic, predicate logic, and set theory with clarity and precision. To make these abstract topics engaging, I often use paradoxes, thought experiments, and carefully chosen problems. I believe proofs should not feel intimidating but instead serve as tools for creative problem-solving. By breaking complex ideas into smaller, logical steps, I help students see how mathematics builds itself piece by piece. This approach develops not only technical skills but also the confidence to explore deeper questions. Over the years, I have worked with students pursuing philosophy, computer science, and pure mathematics. Each of these fields benefits from the discipline of rigorous reasoning and the habit of careful proof construction. My lessons are designed to show students how logical thinking strengthens both academic and real-world problem-solving. I combine structure with open discussion, allowing learners to explore ideas while staying grounded in formal methods. Students are encouraged to question assumptions, test ideas, and refine their arguments with precision.
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About the lesson
- All Levels
- English
All languages in which the lesson is available :
English
My teaching profile in Maths focuses on creating warm, interactive lessons that put students at ease. I understand that many learners face maths anxiety, so I design sessions that replace fear with curiosity. Storytelling is at the heart of my approach, making abstract numbers feel alive and meaningful. I go beyond standard problem-solving by weaving in logical puzzles, historical maths anecdotes, and pattern recognition. These elements help students see mathematics as a creative journey rather than a set of rigid rules. I also emphasise conceptual visualisation so learners can “see” the structure behind the numbers. To make lessons engaging, I use visual aids, simple games, and real-life examples. These tools transform difficult ideas into accessible and enjoyable learning moments. For Quant and Economist personas, I highlight practical applications that sharpen analytical thinking and decision-making skills. My teaching is not only about solving equations but also about building confidence and enjoyment. Every session is structured to spark curiosity and keep progress swift. I encourage students to interact, explore, and actively engage with mathematical ideas. Ultimately, my goal is to make maths fun, relatable, and deeply rewarding. With patience and creativity, I help learners develop a lasting connection with numbers.
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Rates
Rate
- £31
Pack prices
- 5h: £155
- 10h: £310
online
- £31/h
free lessons
The first free lesson with Caleb will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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