1st lesson free
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Purnima
- Price $45
- Answer 1h
$45/h
Contact
1st lesson free
- Maths
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Mathematics Instructor Helping Students Build Confidence and Problem-Solving Skills in Algebra, Geometry, and Calculus With 7 Years of Experience and a B.Sc in Mathematical Sciences.
- Maths
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Lesson location
About Purnima
I have been passionate about Mathematics since childhood, drawn to its logic, patterns, and ability to explain both abstract and real-world phenomena. I pursued a B.Sc in Mathematical Sciences, gaining a strong foundation in algebra, calculus, geometry, and problem-solving methodologies. Over the past 7 years, I have helped students of diverse abilities build confidence, strengthen analytical skills, and approach mathematics with curiosity and clarity. My teaching philosophy emphasizes patience, adaptability, and conceptual understanding. I work to identify each student’s strengths and challenges, using multiple approaches, analogies, and visual tools to ensure comprehension. I encourage questions, exploration, and independent thinking, allowing students to gain confidence in their own reasoning while also providing structured guidance to correct mistakes and build skill. Outside of teaching, I continue exploring mathematical puzzles, new pedagogical techniques, and educational research, enriching my lessons with innovative strategies and contemporary examples. I find teaching deeply fulfilling because I witness students gradually transform from hesitant learners into confident problem-solvers with a strong understanding of concepts. Helping them gain both academic success and personal growth, including resilience, logical clarity, and analytical thinking, is the most rewarding part of my work, as these skills carry far beyond the classroom.
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About the lesson
- Primary School
- High School
- Year 10
- +8
levels :
Primary School
High School
Year 10
Year 11-12
Year 12
TAFE
Adult
Undergraduate
Diploma/Certificate
PhD
Early childhood education
- English
All languages in which the lesson is available :
English
Mathematics becomes approachable when students are guided to see connections between ideas, recognize patterns, and understand the reasoning behind procedures. My lessons focus on algebra, geometry, trigonometry, coordinate geometry, and introductory calculus, with clear explanations, stepwise problem-solving, and practical examples. I emphasize developing logical thinking and independent problem-solving skills rather than rote memorization, helping learners to approach questions confidently and systematically. By creating a calm and supportive environment, I help students gradually overcome anxiety and build a lasting understanding of mathematical principles.
Lesson content is adapted for each learner. Beginners concentrate on arithmetic, linear equations, fundamental geometry, and basic algebraic reasoning. Intermediate students progress to functions, trigonometric identities, geometric proofs, and multi-step problem-solving. Advanced learners explore calculus, transformations, higher-order algebra, and exam-style reasoning challenges. Structured exercises, guided correction, and interactive examples support steady learning and foster independent reasoning.
Mathematics strengthens analytical thinking, patience, and precision. Students gradually learn to approach unfamiliar problems with confidence, recognize patterns, and devise strategies for effective solutions. As they progress, they develop a sense of accomplishment, logical clarity, and a practical mindset for problem-solving that extends beyond mathematics into everyday decision-making. By the end of my lessons, learners often experience a transformation from apprehension to enthusiasm, understanding that Mathematics is not just about formulas, but a powerful tool to think clearly, reason accurately, and solve challenges creatively and independently. My goal is to cultivate confidence, curiosity, and an enduring appreciation for the elegance and applicability of mathematics.
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Rates
Price
- $45
Pack prices
- 5h: $225
- 10h: $450
online
- $45/h
free lessons
The first lesson with Purnima will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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