Cole Kwok
Learn math through understanding, not endless memorization. Personalized tutoring that builds confidence and skill .
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Cole Kwok
Bachelors degree
/ 55 min
Cole - Know your tutor
My experience when I first started tutoring was heavily focused on improving my students’ grades. Looking back, I realized this approach was ultimately unfruitful because it did not truly benefit my students in the long term. My mindset at the time was that if my students achieved higher grades, I could use those results to strengthen my reputation as a tutor within the community. As a result, I focused heavily on teaching students how to answer the exact questions they were given through memorization and repetition. There is little value in teaching a concept if a student cannot apply that same knowledge to a slightly different question that uses the same underlying principles. What ended up happening was that my students were able to achieve high scores on their exams, but afterward they quickly forgot the material and struggled to apply their understanding to unfamiliar problems. That experience completely changed my philosophy as an educator. My goal when tutoring students is no longer simply to help them achieve high grades. My goal is for them to genuinely learn and understand what they are studying. Once students understand the reasoning behind concepts and can confidently apply their knowledge to homework, exams, and new situations, strong grades naturally follow as a result. Because of this, I do not follow a strictly repetitive “Kumon-style” approach to teaching. I do not believe there is value in assigning endless questions simply for the sake of repetition. Instead, I focus on identifying where a student is struggling, breaking difficult concepts into manageable pieces, and giving additional practice only when it is genuinely needed to reinforce understanding and confidence.
Cole graduated from Simon Fraser University
Specialities of your tutor
Math Tricks and Hacks
Test prep strategies
Mental Math
Homework help
Advanced Placement (AP) Program (USA)
Learning Plans
International Baccalaureate (IB)
Exam Simulation
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
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1-yr validity
24/7 support
Student types for classes
Home schooled
High School students
Learning Disabilities
Anxiety or Stress Disorders
Elementary School students
ASD
ADHD
Middle School students
Cole also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
College Algebra
Mathematics concepts taught by Cole
The session focused on understanding statistical significance through a modified John/Jennifer resume study. Tutor and Student reviewed the methodology of a random assignment simulation and interpreted a dot plot to determine if an observed difference in means was statistically significant based on a 5% threshold. They also discussed the impact of sample size on the convincingness of evidence, with future plans to discuss a project for the current unit.
Introduction to Statistical Significance
Simulation for Testing Significance (Resampling Method)
Interpreting Simulation Dot Plots & P-value Concept
Statistical Significance Threshold & Importance of Sample Size
The Student and Tutor reviewed key concepts in mathematics, focusing on solving polynomial inequalities using sign charts and determining extraneous solutions from graphs. They also practiced solving algebraic equations involving fractions, with the Tutor providing detailed steps and explanations. The Student was assigned to complete remaining practice problems for homework and encouraged to send any questions via message.
Polynomial Inequalities & Sign Charts
Identifying Critical Points
Interpreting Solutions from Sign Charts
Solving Rational Equations
Identifying Extraneous Solutions Graphically
The Importance of Double-Checking Solutions
The Student and Tutor reviewed various Statistics sampling methods, including convenience, simple random, stratified, cluster, and systematic random sampling. They also discussed different types of survey biases such as undercoverage, non-response, and response bias, analyzing real-world examples. The Student mentioned struggles in Biology, and they planned to cover a Biology topic (phospholipid membrane, endomembrane system) and a specific Statistics chapter (2.8, inference) in the next session.
Simple Random Sample (SRS)
Stratified Random Sample
Cluster Random Sample
Systematic Random Sample
Biases in Sampling and Surveys
Student and Tutor had an introductory session on logarithms. They covered the definition, notation (common and natural logs), and key properties such as the product, quotient, power, and change of base rules. They practiced expanding and combining logarithmic expressions and solving basic logarithmic equations. Student was asked to review notes and share upcoming school material for the next session.
Change of Base Formula
Solving Logarithmic Equations
Essential Logarithm Properties
Common & Natural Logarithms (log & ln)
Logarithm Definition & Exponential Form
The session covered an introduction to linear systems in pre-calculus, starting with a review of the Student's current topics like trigonometry and induction. The Tutor explained how to solve two-dimensional linear equations and discussed the three possible cases for line intersections. They then progressed to the more complex task of solving a system of three linear equations in three dimensions using the elimination method, with future lessons planned to align with the Student's school curriculum focusing on challenging, applied problems.
Solving 3D Linear Systems by Elimination
Introduction to the 3D Cartesian Plane (x
y
z Axes)
Cases of 2D Linear System Intersections
Solving 2D Linear Systems
The Student and Tutor reviewed various concepts related to circles, including area, circumference, standard circle equations, radian-degree conversions, arc length, and area of sectors, in preparation for an upcoming quiz. They also extensively practiced completing the square. Due to the student's strong performance, they decided to prepare for more complex, upcoming material in the next session.
Area & Circumference of Circles
Standard Equation of a Circle
Converting Between Degrees and Radians
Area of a Sector & Arc Length
Completing the Square for Circle Equations
Teaching tools used by tutor
Digital whiteboard
Presentations
Assessment
Practice worksheets
Quizzes
Solvers & Calculators
Graphing Tools
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