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
/ 55 min
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
Problem Solving
Homework help
Gamification of Math
Learning Plans
Math Tricks and Hacks
CoTutorAI modules
Summary
Podcast
Quiz
Learnings
Flashcard
Spotlight
Zero Risk Guaranteed
15-days refund
Free tutor swap
No cancel fee
1-yr validity
24/7 support
Student types for classes
Elementary School students
ASD
ADHD
Home schooled
College students
Middle School students
Anxiety or Stress Disorders
Learning Disabilities
High School students
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
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Harrison
The session primarily focused on developing a strategic plan for the Student to prepare for pre-algebra and algebra over the summer. The Tutor recommended using online platforms like Khan Academy for practice and suggested identifying a course syllabus for structured learning. They also briefly attempted an algebra problem, which highlighted the need for better technical setup.
Strategic Learning with Syllabi & Tutor Support
Optimizing Your Virtual Learning Environment
Interpreting Word Problems & Order of Operations
Khan Academy: A Free & Effective Learning Resource
Foundations of Pre-Algebra & Summer Preparation
The tutor and student worked through various problems involving simplifying radical expressions and solving radical equations. They practiced combining like terms, simplifying radicands, and understanding variable restrictions. The session concluded with an introduction to solving radical equations and the importance of checking for extraneous solutions.
Scaling and 3D Shapes
Simplifying Radical Expressions
Solving Radical Equations
Operations with Rational Expressions
Understanding Slope
The Tutor and Student worked through practice problems for the ASVAB math and word knowledge sections, focusing on arithmetic, order of operations, fractions, decimals, percentages, and solving basic algebraic equations. They planned to continue practicing more problems in future sessions to build familiarity with ASVAB math topics.
Order of Operations (PEMDAS)
Factorials (!)
Absolute Value (|x|)
Exponents (Powers)
Square Roots (√)
Fractions
Decimals
and Percentages Conversion
The Student and Tutor reviewed various geometry and trigonometry concepts from a test, including circle properties, arc length, similar triangles, and trigonometric ratios (sine, cosine, tangent). They practiced solving problems by applying formulas and identifying relevant geometric relationships, with the Tutor providing guidance and explanations. The session also covered how to use inverse trigonometric functions to find angles.
Arc Length and Sector Area
Inscribed Angles and Arcs
Properties of Tangent Lines
Trigonometric Ratios (SOH CAH TOA)
Pythagorean Theorem in Word Problems
The student and tutor worked through various geometry problems involving circles, focusing on calculating arc measures, angles formed by intersecting chords, and using the standard equation of a circle. They also practiced applying the power of a point theorem and completing the square to find circle properties. The tutor planned to schedule another session for the following day.
Angles Formed by Intersecting Chords
Angles Formed by Intersecting Secants
Standard Equation of a Circle
Completing the Square for Circles
Power of a Point Theorem
The student and tutor worked through various geometry and algebra problems, including similar triangles, properties of polygons, and parallelograms. They practiced setting up ratios, solving algebraic equations, and proving triangle similarity using geometric postulates, with plans to review circle properties in the next session.
Similar Triangles and Proportions
Properties of Parallelograms and Rhombuses
Interior Angles of Polygons
Angle Congruence in Geometric Figures
Teaching tools used by tutor
Practice worksheets
Visualization & Exploration
Graphing Tools
Digital whiteboard
Lesson Planning Tools
Interactive lessons
Weekend lessons
Parent feedback
Open Q&A
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