1st lesson free
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John Ray
- Rate R243
- Response 1h
R243/h
Contact
1st lesson free
- Maths
- Algebra
- Trigonometry
- Algorithms
A Licensed Civil Engineer. A tutor, instructor and professor in a state university teaching mathematics , Civil Engineering and allied courses in an easier approach.
- Maths
- Algebra
- Trigonometry
- Algorithms
Lesson location
About John Ray
I am a dedicated Mathematics and Civil Engineering tutor committed to helping students understand difficult concepts with clarity and confidence. I specialize in Algebra, Geometry, Trigonometry, Calculus, and Engineering-related subjects. My teaching approach focuses on step-by-step explanations, practical examples, and problem-solving strategies rather than memorization alone. I adjust my lessons to each student's learning pace and level, creating a supportive environment where questions are always welcome. My goal is not only to help students achieve better grades, but also to develop the analytical skills and confidence they need to solve problems independently.
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About the lesson
- Primary
- Secondary
- Matric/GCSE
- +7
levels :
Primary
Secondary
Matric/GCSE
AS Level
A Level
BTech
Adult education
Masters
Doctorate
MBA
- English
Languages in which the lesson is available :
English
I believe that effective tutoring is not just about giving students the correct answer—it is about helping them understand why the answer is correct and how to arrive at it independently. My approach is focused on building strong fundamentals, developing problem-solving skills, and connecting mathematical concepts to practical applications.
I use a step-by-step, student-centered approach that adapts to the learner's current level and needs. I begin by identifying what the student already understands and where they are having difficulty. From there, I explain concepts in simple and clear terms before gradually introducing more challenging problems.
My lessons cover Algebra, Geometry, Trigonometry, and Calculus, including topics such as equations and functions, factoring, systems of equations, geometric relationships, trigonometric identities, limits, derivatives, integrals, and their applications.
For Engineering subjects, I emphasize both theory and practical application. Depending on the student's course and requirements, I can help explain engineering concepts, mathematical models, calculations, problem-solving procedures, and the interpretation of engineering results. I particularly focus on subjects related to Civil Engineering, such as Engineering Mechanics, Statics, Strength of Materials, Structural Analysis, Surveying, Construction Materials, and other engineering-related topics.
I also use worked examples, visual explanations, diagrams, real-world situations, guided exercises, and practice problems to make difficult concepts easier to understand.
A typical tutoring session follows a structured but flexible format:
1. Review and Assessment
We begin with a short review of previous lessons and identify areas that need improvement.
2. Concept Introduction
I explain the new concept using simple language, illustrations, formulas, and practical examples.
3. Guided Problem Solving
We solve problems together step by step. I explain not only the calculations but also the reasoning behind each step.
4. Independent Practice
The student works on similar problems independently while I provide guidance when necessary.
5. Application
Whenever possible, I connect the lesson to real-world situations or engineering applications so the student can understand its practical value.
6. Summary and Feedback
At the end of the session, we review the key concepts, identify areas that still need practice, and establish what the student should work on next.
What sets me apart is my focus on understanding rather than memorization. I want students to become confident problem-solvers who can approach unfamiliar questions logically.
If a concept is difficult, I break it down into smaller and more manageable parts and use alternative explanations until the idea becomes clear.
Another strength of my approach is the connection between Mathematics and Engineering. Mathematics is not taught as an isolated subject; I show students how algebra, geometry, trigonometry, and calculus are used in actual engineering calculations and decision-making. This helps students see the purpose of what they are learning and develop a deeper understanding of the subject.
Most importantly, I aim to create a learning environment where students feel comfortable asking questions, making mistakes, and trying again. I believe that mistakes are an important part of learning.
My lessons are suitable for:
a. High school students studying Algebra, Geometry, Trigonometry, and introductory Calculus
b. College and university students taking Mathematics and Engineering courses
c. Engineering students who need assistance with mathematical and technical subjects
d. Students preparing for examinations, quizzes, assignments, and major assessments
e. Students who need to strengthen their fundamental mathematical skills
f. Students who understand the basic concepts but need help with problem-solving and applications
g. Students who want additional practice and guidance beyond their regular classroom instruction
My goal is to help every student move from “I don't understand this” to “I understand how to solve this on my own.” I aim not only to help students improve their grades, but also to develop the confidence, analytical thinking, and problem-solving skills they can use throughout their academic and professional careers.
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Rates
Rate
- R243
Package rates
- 5h: R1215
- 10h: R2430
free lesson
The free first lesson with John Ray allows you to get to know the tutor and discuss your needs and expectations.
- 1h
online
- R243/h
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