Harrison Kmiec
Private Mathematics Tutor for all grades and skill levels. The goal is to promote consistent improvement and fun in the mathematical journey!
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Harrison Kmiec
Bachelors degree
Enroll after the free trial
Each lesson is 55 min
50 lessons
20% off
/ lesson
30 lessons
15% off
/ lesson
20 lessons
10% off
/ lesson
10 lessons
5% off
/ lesson
5 lessons
-
/ lesson
1 lessons
-
/ lesson
Harrison - Know your tutor
My name is Harrison Kmiec, and I am a private mathematics tutor situated in Chapel Hill, North Carolina. Regarding my educational background, I have a Bachelor's degree from UNC-Chapel Hill and majored in Mathematics, as well as Statistics and Analytics. I have been doing private mathematics tutoring for 3 years, and have tutored from elementary school all the way up to the undergraduate college level. Subjects within math that I tutor for include Algebra, Geometry, Calculus, and Probability. My style of tutoring/teaching focuses on using simple examples to build up the muscle memory for concepts and formulas, then using more complex examples to strengthen the students' flexibility on those very topics. My goal is to create a collaborative environment for math that communicates how fun math can be as a subject dedicated to problem-solving.
Harrison graduated from University of North Carolina at Chapel Hill
Specialities of your tutor
Mental Math
Gamification of Math
Practice Drills
Learning Plans
Problem Solving
Homework help
Student types for classes
High School students
ADHD
College students
Learning Disabilities
Home schooled
Elementary School students
Middle School students
ASD
Anxiety or Stress Disorders
Class overview
My tutoring/teaching style focuses on addressing weak spots in students' fundamental understanding of the math they are learning in their courses, and keeping the students engaged once they have demonstrated a solid understanding of the current math concepts they are working on. I use simple examples to identify where a student does not fully grasp certain mathematical ideas, as well as to help them hone the missing skills to a comfortable level. Then, once the student shows consistency with the topics they are working on, I use complex examples to keep them engaged with the problem-solving aspect of math. My belief is that there is no need to "gamify" math because math is inherently very similar to a game. Math is akin to a puzzle or any activity where there is a defined end goal and you are given a base set of information to work with. After working with a lot of students over the years, I find that students naturally discover the fun in math as long as someone is there to ease the frustrating parts.
Harrison also teaches
Discrete Math
Elementary School Math
Geometry
High School Math
Linear Algebra
Middle School Math
Flexible Scheduling
Allows 1h early scheduling
Allows 1h early rescheduling
Can wait for 20 mins after joining
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10 day Refund
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Free Tutor Swap
Mathematics concepts taught by Harrison
The Student and Tutor worked through calculus problems related to finding centroids of areas between curves and applying calculus to physics concepts like work done by a force, including spring force and lifting objects. They practiced setting up and evaluating integrals for these applications and identified strategies for correcting calculation errors.
Centroids of Planar Regions
Finding Natural Length of a Spring
Hooke's Law and Spring Work
Work Done by a Force
Area Between Curves
The Tutor and Student reviewed several calculus concepts including continuity, derivatives of various functions (exponential, absolute value), solving logarithmic equations, finding inverse functions, trigonometric evaluations, and limit calculations using algebraic manipulation. They planned to continue working on the remaining problems of the test in the next session.
Derivative of Exponential Functions
Derivatives of Absolute Value Functions
Logarithm Properties and Inverse Functions
Continuity of Piecewise Functions
The Student and Tutor worked through problems involving unit circle concepts, reference angles, and evaluating trigonometric expressions. They practiced finding specific trigonometric values using the unit circle and applying trigonometric identities, with a plan to reinforce fundamental math skills like fraction operations and radical simplification in future sessions.
Reference Angles
Periodic Functions and Coterminal Angles
Unit Circle Values & Trigonometric Ratios
Rationalizing Denominators
The class session involved reviewing and practicing calculus concepts related to the area of a surface of revolution and centroids. The student worked through example problems with the tutor, focusing on setting up integrals, calculating derivatives, and performing algebraic simplification. Future sessions were planned to cover more centroid problems and hyperbolic functions.
Area of a Surface of Revolution
Centroids (Center of Mass)
Integration Techniques & Common Errors
The Tutor and Student reviewed and practiced concepts related to unit rates, ratios, and proportional relationships. They worked through various problems, focusing on calculations, simplification, and identifying proportionality in different contexts. The Student is preparing for a test on these topics.
Proportional Relationships
Rates of Proportionality and Cross-Multiplication
Ratios and Simplest Form
Unit Rate
The student and tutor reviewed core calculus concepts including discontinuities, the Intermediate Value Theorem, limits at infinity, and the definition of a derivative. They analyzed past exams and practice problems to identify areas for improvement and planned to focus on these concepts in upcoming sessions.
Discontinuities of Functions
Intermediate Value Theorem (IVT)
Limits at Infinity
Domain and Range of Functions
The Derivative and its Definition
Teaching tools used by tutor
Practice worksheets
Visualization & Exploration
Lesson Planning Tools
Digital whiteboard
Graphing Tools
Interactive lessons
Open Q&A
Weekend lessons
Parent feedback
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Every tutor is interviewed and selected for subject expertise and teaching skill.