1st lesson free
Elizabeth
- Price $51
- Answer 1h
$51/h
Contact
1st lesson free
- Algebra
Influential Algebra Teaching Fellow with 52 Years of Teaching Experience and a Master of Education in Algebra and Mathematical Thinking Helping Students Achieve Lasting Academic Success.
- Algebra
Lesson location
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At Elizabeth's house: Darwin
- online
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at home or in a public space : will travel up to 20km from Darwin
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About Elizabeth
I have 52 years of teaching experience and hold a Master of Education in Algebra and Mathematical Thinking. Throughout my career, I have helped learners from diverse educational backgrounds develop confidence by transforming difficult mathematical concepts into manageable learning experiences through patience, organization, and consistent encouragement. Helping students discover their own mathematical abilities remains my greatest professional achievement.
One student experienced difficulty solving algebraic equations involving proportional relationships because identifying equivalent ratios and forming correct equations often caused uncertainty. Through practical demonstrations, visual comparisons, and carefully sequenced exercises, the student gradually developed stronger reasoning skills and achieved outstanding improvement in both classroom assessments and final examinations.
I believe algebra develops logical reasoning, perseverance, analytical thinking, organization, and intellectual confidence that benefit students throughout their educational and professional journeys. My classroom promotes respectful collaboration, thoughtful discussion, continuous reflection, and lifelong curiosity while creating an encouraging environment where every learner feels empowered to succeed.
Outside teaching, I enjoy developing mathematics learning guides, mentoring mathematics instructors, and contributing to educational workshops focused on improving conceptual mathematics instruction. These ongoing professional activities continually enrich my teaching practice and inspire engaging learning experiences.
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About the lesson
- All Levels
- English
All languages in which the lesson is available :
English
My teaching philosophy is based on the understanding that algebra becomes far more accessible when students discover the reasoning behind mathematical relationships rather than simply memorizing procedures. Every student begins with a comprehensive learning assessment that evaluates previous mathematical knowledge, confidence level, learning preferences, study routines, and academic aspirations. Using this information, I design a personalized learning pathway that develops strong conceptual foundations before gradually introducing increasingly sophisticated algebraic ideas.
Students receive structured instruction in algebraic expressions, equations, inequalities, functions, graph analysis, polynomial operations, rational expressions, radicals, exponential functions, logarithmic relationships, systems of equations, sequences and series, algebraic transformations, symbolic reasoning, and mathematical modeling. Lessons integrate conceptual discussions, guided demonstrations, visual representations, collaborative investigations, structured practice, independent exploration, and reflective problem-solving activities. Students learn to compare different solving methods, justify mathematical decisions, recognize recurring patterns, and communicate their reasoning with confidence.
Lessons include practical applications from renewable energy systems, aviation logistics, pharmaceutical development, software engineering, actuarial science, environmental planning, and manufacturing automation to demonstrate the value of algebra beyond the classroom. Continuous formative assessments, cumulative revision sessions, individualized assignments, and detailed progress reviews reinforce understanding while supporting steady academic growth. Feedback is tailored to individual learning needs, ensuring consistent improvement throughout the course.
Students preparing for classroom assessments, board examinations, SAT, ACT, university entrance examinations, scholarship programs, or competitive mathematics events receive personalized preparation plans featuring structured revision schedules, examination strategies, timed practice papers, and comprehensive academic evaluations. Every lesson is designed to build confidence, mathematical independence, and long-term problem-solving ability.
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Rates
Price
- $51
Pack prices
- 5h: $255
- 10h: $510
free lessons
The first lesson with Elizabeth will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
online
- $51/h
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