1st lesson free
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Mira
- Rate €32
- Response 1h
€32/h
Contact
1st lesson free
- Maths
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Mathematics Instructor Cultivating Analytical Thinking, Conceptual Mastery, and Problem-Solving Confidence With 12 Years of Experience and an M.Sc in Pure Mathematics.
- Maths
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Lesson location
About Mira
My passion for mathematics has been lifelong, driven by an early fascination with patterns, logical structures, and problem-solving elegance. This passion guided me to pursue an M.Sc in Pure Mathematics, providing deep theoretical knowledge and exposure to rigorous analytical reasoning. Over 12 years of teaching, I have helped students of various levels gain clarity, build confidence, and develop a genuine appreciation for mathematics as both a practical tool and a field of abstract beauty.
I focus on patient, customized instruction tailored to each learner’s needs, emphasizing step-by-step explanations, practical examples, and reflective exercises. By creating a supportive environment, I encourage students to ask questions, explore multiple strategies, and develop independent reasoning abilities. This approach ensures a strong conceptual foundation while cultivating curiosity, resilience, and critical thinking.
Outside the classroom, I remain actively engaged in mathematical research, applied problem-solving, and exploring new techniques in education. Teaching mathematics is deeply rewarding because I witness students progress from tentative learners to confident thinkers capable of tackling challenges logically and creatively, equipping them with skills that extend far beyond the academic setting.
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About the lesson
- Primary
- Junior Cycle
- Transition Year
- +9
levels :
Primary
Junior Cycle
Transition Year
Fifth Year
Sixth Year
Adult education
Bachelor's degree
Master's degree
Diploma
Doctorate degree
Other
Leaving Certificate
- English
All languages in which the lesson is available :
English
Mathematics lessons are crafted to foster deep understanding, logical reasoning, and strategic problem-solving abilities. I cover a spectrum of topics ranging from arithmetic, algebra, geometry, trigonometry, calculus, probability, combinatorics, to advanced mathematical reasoning. Each lesson emphasizes the logic behind formulas, the patterns underlying operations, and conceptual understanding, enabling learners to approach problems creatively and confidently while avoiding rote memorization. The goal is to instill both skill and appreciation for the beauty and utility of mathematics in practical and theoretical contexts.
Lesson plans are adapted according to the student’s proficiency. Beginners build foundational skills in numerical operations, algebraic thinking, and visual reasoning, using interactive exercises and structured guidance. Intermediate learners tackle algebraic manipulation, graphical reasoning, functional analysis, and multi-step problem-solving. Advanced learners explore calculus, combinatorial methods, optimization problems, proofs, and analytical problem-solving for examinations and competitions. Every session balances stepwise instruction, guided practice, independent work, and detailed feedback to ensure clarity, mastery, and confidence.
Beyond content mastery, mathematics lessons enhance critical thinking, structured reasoning, patience, and analytical skills. Students develop the ability to tackle unfamiliar challenges methodically, reason under pressure, and apply their knowledge creatively. My aim is to help learners not only achieve academic excellence but also cultivate lifelong analytical and problem-solving skills that can be applied across multiple disciplines and real-life scenarios.
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Rates
Rate
- €32
Pack prices
- 5h: €160
- 10h: €320
online
- €32/h
free lessons
The first free lesson with Mira will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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