1st lesson free
Tessa's profile and their contact details have been verified by our experts
Tessa
- Rate $73
- Response 1h
$73/hr
Contact
1st lesson free
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Statistics
Arithmetic & Trigonometry with Expert Tutor – 8 Years’ Experience Offering Lessons to Strengthen Understanding, Build Confidence, Sharpen Problem-Solving Skills, and Ensure Exam Success for Every Dedi
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Statistics
Lesson location
About Tessa
My lessons open the door to the elegant and challenging world of advanced theoretical mathematics. With a gentle and reflective approach, I guide students through abstract algebra, number theory, mathematical proofs, and other higher-level concepts. Each session is designed to build not just knowledge, but the ability to think independently and reason with precision. We explore the deep structures that lie beneath familiar mathematics, uncovering patterns and connections that inspire curiosity. In abstract algebra, we investigate groups, rings, and fields, seeing how they shape the logic of mathematics. In number theory, we discover the surprising beauty hidden in prime numbers, modular arithmetic, and Diophantine equations. The rigour of proofs is central to our journey, but I break each argument into clear, understandable steps. I use relatable examples and analogies to make abstract ideas easier to grasp without losing their depth. Students are encouraged to question, experiment, and form their own interpretations of complex theorems. Whether preparing for academic advancement or pursuing personal enrichment, learners find a space here to grow at their own pace. My aim is to help each one excel in both skill and understanding. Together, we will uncover the elegance at the heart of mathematical thought and see how it shapes the way we understand the world.
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About the lesson
- Primary
- High School
- NCEA Level 1
- +7
levels :
Primary
High School
NCEA Level 1
NCEA Level 2
NCEA Level 3
Adult education
Undergraduate
Masters
Diploma
Doctorate
- English
All languages in which the lesson is available :
English
With over 8 years of teaching experience and a BSc in Statistics and Mathematics, I specialise in making the abstract foundations of mathematics approachable and engaging. My passion lies in helping advanced high school and early university students grasp concepts that often seem intimidating at first glance. I focus on set theory, cardinality, axiomatic systems, and the art of formal proofs, guiding learners through ideas that form the very core of mathematical reasoning. Through carefully chosen analogies and clear step-by-step explanations, I turn abstract definitions into relatable mental models. I’ve worked extensively with students pursuing pure mathematics, logic, and theoretical computer science, helping them develop precision in thinking and expression. My lessons balance rigour with accessibility, ensuring that students not only solve problems but also understand why the methods work. We explore how infinite sets compare in size, why axioms are the starting point of all mathematical structures, and how proofs act as the language of truth in mathematics. By breaking down complex concepts into logical progressions, I empower students to build both confidence and independence.
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Rates
Rate
- $73
Pack prices
- 5h: $365
- 10h: $730
online
- $73/h
free lessons
The first lesson with Tessa will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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