1st lesson free
Emily
- Rate £27
- Response 1h
£27/hr
Contact
1st lesson free
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Distinguished Mathematics Academic Mentor with 51 Years of Teaching Experience and a Master of Science in Mathematical Innovation Helping Students Reach Their Highest Mathematical Potential Through In
- Maths
- Trigonometry
- Arithmetic
- Geometry
- Logic
Lesson location
About Emily
I have 51 years of teaching experience and hold a Master of Science in Mathematical Innovation. Throughout my professional journey, I have guided students from middle school through advanced university mathematics, helping them build exceptional analytical abilities through structured mentorship, personalized instruction, and unwavering encouragement. Teaching mathematics continues to inspire me because every learner brings unique perspectives and opportunities for growth.
One student initially struggled with solving nonlinear optimization problems because balancing multiple variables and constraints required careful mathematical reasoning. Through practical modeling activities, graphical analysis, and systematic problem-solving exercises, the student gradually developed stronger analytical skills and ultimately excelled in advanced mathematics examinations.
I believe mathematics develops resilience, logical reasoning, creativity, precision, and intellectual curiosity that benefit learners throughout every stage of education and professional life. My classroom encourages collaborative learning, independent exploration, respectful discussion, and continuous improvement while helping every student pursue ambitious academic goals with confidence.
Outside teaching, I enjoy leading mathematics enrichment seminars, collaborating on international educational research, and designing innovative instructional resources that improve mathematical understanding. These professional experiences continually strengthen my teaching practice and enable me to provide engaging, meaningful, and high-quality mathematics education for students of all abilities.
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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 focuses on helping students recognize mathematics as an interconnected discipline that develops logical reasoning, creativity, and confident problem-solving. Every learning journey begins with a comprehensive assessment of the student's mathematical knowledge, learning preferences, confidence level, educational objectives, and study habits. Using these insights, I design individualized lesson plans that strengthen foundational understanding while introducing advanced mathematical concepts through structured progression and continuous reinforcement.
Students receive comprehensive instruction in arithmetic, algebra, geometry, trigonometry, statistics, probability, calculus, mathematical modeling, differential equations, discrete mathematics, optimization techniques, numerical analysis, and advanced quantitative reasoning through engaging lessons that combine conceptual discussions, guided demonstrations, collaborative exploration, practical investigations, independent exercises, and analytical reflection. Students regularly compare alternative solution strategies, explain mathematical reasoning clearly, and develop flexible thinking that supports both academic achievement and real-world application.
Lessons feature practical examples from space exploration, renewable energy systems, artificial intelligence, medical imaging, financial analytics, transportation engineering, and computational research to demonstrate how mathematics contributes to innovation across diverse industries. Continuous assessments, cumulative review sessions, personalized assignments, and comprehensive academic feedback reinforce conceptual understanding while preparing students for advanced mathematical study.
Students preparing for board examinations, SAT, ACT, advanced placement mathematics, university entrance examinations, mathematics olympiads, or competitive academic programs receive customized preparation plans featuring structured revision schedules, advanced practice workshops, timed mock examinations, examination techniques, and detailed performance evaluations. Every lesson aims to develop confident, independent learners who approach mathematics with precision, curiosity, and resilience.
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Rates
Rate
- £27
Pack prices
- 5h: £135
- 10h: £270
online
- £27/h
free lessons
The first free lesson with Emily will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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