1st lesson free
Rachel
- Rate £30
- Response 1h
£30/hr
Contact
1st lesson free
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Experienced Mathematics Scholar with 41 Years of Teaching Experience and a Doctor of Philosophy in Computational Mathematics Helping Students Build Excellence Through Personalized Mathematics Educatio
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Lesson location
About Rachel
I have 41 years of teaching experience and hold a Doctor of Philosophy in Computational Mathematics. Throughout my teaching career, I have mentored students from secondary education through postgraduate studies, helping learners build strong mathematical foundations through supportive instruction, practical understanding, and individualized guidance. Helping students discover confidence in mathematics continues to inspire my lifelong commitment to education.
One learner initially struggled with numerical approximation methods because understanding accuracy, estimation, and computational procedures seemed overwhelming. Through structured demonstrations, interactive software activities, and carefully guided practice, the student gradually mastered numerical techniques and successfully applied them to complex mathematical problems. This achievement significantly improved academic performance and strengthened confidence in higher-level mathematics.
I believe mathematics develops lifelong qualities including logical reasoning, resilience, precision, adaptability, and thoughtful decision-making. My classroom encourages curiosity, respectful collaboration, and independent exploration while creating a positive learning environment where every learner feels empowered to achieve success.
Outside the classroom, I enjoy contributing to mathematics curriculum development, studying advances in computational education, and creating innovative instructional materials that make advanced mathematical concepts more accessible. These experiences continually refine my teaching while providing students with engaging and rewarding educational opportunities. I would be delighted to help you strengthen your mathematical knowledge and accomplish your educational goals.
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About the lesson
- Primary
- Secondary
- GCSE
- +9
levels :
Primary
Secondary
GCSE
AS Level
A Level
BTEC
Adult Education
Undergraduate
Masters
Diploma
Doctorate
Nursery
- English
All languages in which the lesson is available :
English
My teaching philosophy emphasizes understanding mathematics as a connected system of ideas that encourages logical reasoning, creativity, and analytical thinking. Every learner begins with a detailed assessment of their mathematical knowledge, learning preferences, and academic goals. Based on these findings, I develop a personalized learning pathway that promotes conceptual mastery while building confidence through structured instruction and consistent practice.
Students receive comprehensive instruction in Arithmetic, Algebra, Geometry, Trigonometry, Statistics, Probability, Calculus, Linear Algebra, Coordinate Geometry, Mathematical Modeling, Discrete Mathematics, Numerical Analysis, Optimization, and introductory Computational Mathematics. Lessons combine visual demonstrations, technology-supported learning, guided investigations, collaborative discussions, and practical applications that encourage students to connect mathematical concepts across multiple disciplines. Learners actively communicate their reasoning, compare solution strategies, and strengthen independent problem-solving skills through regular participation.
Real-world applications from aerospace engineering, cybersecurity, quantitative finance, biomedical sciences, artificial intelligence, environmental sustainability, and transportation systems demonstrate how mathematics supports innovation across modern industries. Students complete analytical investigations, interdisciplinary projects, mathematical modeling activities, and cumulative review sessions that strengthen critical thinking while promoting long-term understanding. Continuous formative assessments ensure instruction remains personalized and responsive to individual learning needs.
Students preparing for school examinations, board assessments, SAT, ACT, engineering entrance examinations, university mathematics courses, or competitive tests receive individualized preparation plans including comprehensive revision schedules, full-length mock examinations, detailed diagnostic reports, and effective examination strategies. Regular performance reviews and constructive feedback help students maximize their academic potential while approaching examinations with confidence.
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Rates
Rate
- £30
Pack prices
- 5h: £150
- 10h: £300
online
- £30/h
free lessons
The first free lesson with Rachel will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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