1st lesson free
Patricia
- Rate $66
- Response 1h
$66/hr
Contact
1st lesson free
- Maths
- Trigonometry
- Arithmetic
- Geometry
- School science
Acclaimed Mathematics Educator with 35 Years of Teaching Experience and a Doctor of Philosophy in Mathematics Education Helping Students Reach Academic Excellence Through Personalized Mathematics Inst
- Maths
- Trigonometry
- Arithmetic
- Geometry
- School science
Lesson location
About Patricia
I have 35 years of teaching experience and hold a Doctor of Philosophy in Mathematics Education. Throughout my career, I have mentored students across secondary schools, universities, and professional education programs, helping learners strengthen mathematical understanding through supportive instruction and carefully structured learning experiences. Guiding students toward independent problem-solving and lifelong confidence in mathematics continues to inspire my work every day.
One student initially struggled with mathematical proofs because organizing logical arguments and presenting clear justifications seemed overwhelming. Together we explored proof-writing strategies, analyzed multiple examples, and practiced constructing logical arguments step by step. Through regular feedback and thoughtful discussion, the student became confident presenting mathematical proofs and achieved outstanding academic results.
I believe mathematics develops essential lifelong qualities including logical reasoning, resilience, creativity, analytical thinking, and informed decision-making. My classroom encourages intellectual curiosity, collaborative learning, and respectful discussion while creating an environment where every learner feels empowered to reach their full potential.
Outside the classroom, I enjoy mentoring mathematics educators, contributing to curriculum development, and researching innovative teaching methodologies that improve student engagement. These experiences continually enhance my instructional approach while allowing me to create meaningful and inspiring learning opportunities. I would be delighted to help you strengthen your mathematical knowledge and accomplish your educational aspirations.
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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
My teaching philosophy focuses on developing mathematical understanding through exploration, logical reasoning, and consistent practice. Before instruction begins, I evaluate each student's existing knowledge, learning preferences, and academic ambitions to create a personalized learning pathway. Lessons are designed to strengthen conceptual understanding while encouraging students to become independent, confident, and reflective mathematical thinkers.
Students receive comprehensive instruction in Arithmetic, Algebra, Geometry, Trigonometry, Statistics, Probability, Calculus, Linear Algebra, Coordinate Geometry, Mathematical Modeling, Numerical Methods, Operations Research, and introductory Complex Numbers. Every lesson combines visual demonstrations, collaborative investigations, technology-assisted learning, guided discussions, and practical applications that help learners connect mathematical concepts across multiple disciplines. Students regularly compare solution strategies, justify mathematical reasoning, and develop confidence through active participation.
Mathematics is connected to real-world applications including robotics, financial engineering, renewable energy, biomedical research, artificial intelligence, transportation planning, and data analytics to demonstrate its importance across modern industries. Students complete investigative projects, analytical exercises, and cumulative review activities that strengthen conceptual understanding while promoting creativity, precision, and critical thinking. Continuous assessments ensure every learner progresses steadily toward long-term success.
Students preparing for school examinations, board assessments, SAT, ACT, engineering entrance examinations, university mathematics programs, or competitive tests receive individualized preparation plans including structured revision schedules, comprehensive mock examinations, topic-wise diagnostics, and examination strategies. Detailed performance feedback and personalized assignments help students maximize their potential while approaching examinations with confidence.
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Rates
Rate
- $66
Pack prices
- 5h: $330
- 10h: $660
online
- $66/h
free lessons
The first lesson with Patricia will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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