Math, Programming, and Research
“When students encounter good teachers like you, it benefits them for a life time.”
A Parent of a Student from the 2023 Pre-Algebra and AMC 8 Classes
We are a dedicated math school with Dr. Xue as an advisor and mentor, supporting many students at various stages of their studies. We believe that math should be fun and engaging, and students should be challenged at an appropriate level. To achieve this, we create personalized education programs tailored to individual needs and schedules. Our programs emphasize solid training in foundational math skills and fosters the development of intuition needed to solve complex problems. We prioritize creativity and value quality over speed.
We offer programs tailored to all students who have a genuine interest in learning, and we are committed to helping them reach their full potential, regardless of their current academic level. For students who excel in math, we guide them to participate in math competitions such as AMC 8, MATHCOUNTS, AMC 10, AMC 12, AIME, and USA(J)MO and explore research projects in applied math and data science.
Our student teachers offer private tutoring and co-teach alongside with Dr. Xue in subjects including, but not limited to, Elementary Math, Pre-Algebra, Algebra 1, Geometry, Algebra 2, AMC 8, and MATHCOUNTS. They do so with professionalism and at an affordable rate. In addition to teaching K-12 math, programming, and research classes, Dr. Xue also instructs a range of college-level math topics, mentors undergraduate and graduate students in academic and career development, and provides ongoing training and support for our student-teacher team.
About Our Classes & Camps
-
Student-Centered Approach
Our small-group classes are student-centered and scheduled according to students' needs. Most classes are developed based on student requests. Typically, students enroll in one or two classes each week. Returning students are given priority to enroll before new students.
Focus on Depth, Breadth, and Long-Term Growth
We don't simply follow the explanations in the chosen textbooks. Instead, we enhance the material in key areas and supplement it with our own resources when needed. We integrate advanced mathematics and real-world applications to expand students' understanding, ensuring that each concept is connected to a broader context. These enhancements are grounded in Dr. Xue's deep expertise in the subject.
High-Quality Video Classes
We offer a comprehensive collection of pre-recorded video lectures and live session recordings, available for students to subscribe to for self-paced study. Each recording is accompanied with the corresponding PDF note. Students can schedule Q&A or private tutoring sessions at an additional cost.
-
Our balanced approach goes beyond the Art of Problem Solving curriculum, prioritizing a deep understanding of fundamental concepts and methods, while integrating problem-solving, research thinking, and real-world applications. We focus on fostering lifelong learning, using competitions as just one tool to inspire curiosity and develop critical thinking for long-term success.
-
Dr. Xue researched three different classical curricula for competition math and developed her own materials.
-
Topics We Teach
AP Calculus AB/BC
Single Variable Calculus
AP Statistics
Linear Algebra
Differential Equations
Multivariable Calculus
Probability
Statistics
Stochastic Processes
Mathematical Analysis
Partial Differential Equation
Numerical Methods for ODEs and PDEs
Stochastic Simulation Methods
Mathematical Modeling
Machine Learning
Data Science
-
Course List:
Python Basics
Python and Math Series
Python and Algebra
Python and Geometry
Python and Number Theory
Python, Counting and Probability
Python and Advanced Algebra
Python and PreCalculus
Python and Calculus
Python and Advanced Topics
Python and Data Science
Python and Machine Learning
Python and Research
Other Programs
-
Dr. Xue offers open-ended team research projects for high school students, based on recent NSF-funded research in applied mathematics, computational biology, or data science. These carefully designed projects give students the opportunity to learn proper research methodologies, develop the right attitudes, and present their findings at local science fairs.
This program is inspired by Dr. Xue’s NSF Career Award and her experience as a research project mentor for gifted high school students through the Summer Institute hosted by the Ohio Supercomputer Center.
-
For students passionate about math and eager to help others, we offer year-round student-teacher positions that provide an exciting and valuable opportunity for growth and development, along with expert training and support.
-
-
Dr. Xue offers consultation sessions on personalized math education, starting math competitions in middle school, as well as undergraduate and graduate studies and career development. She also provides private lessons for students with special needs or those requiring individualized attention. Every minute of her lessons is dedicated to supporting your child’s learning. Please be sure to arrive on time and come prepared.
Our student teachers are available for private tutoring. They have successfully passed rigorous interviews and receive ongoing training and support from Dr. Xue. They excel not only in math but also in communication skills.
-
We facilitate bulk textbook orders to help students receive discounts on their purchases. For Art of Problem Solving books, we offer approximately a 15% discount for students in the Twin Cities area and a 10% discount for students outside the Twin Cities area (slightly less to cover shipping costs). We also assist with the purchase and sale of used math textbooks.
Ongoing and Upcoming Live Classes
Pre-recorded Video Classes
Pre-Algebra (Text: AoPS Prealgebra)
Algebra 1 (Text: AoPS Introduction to Algebra + SM)
Geometry (Text: AoPS Introduction to Geometry + SM)
Algebra 2 (Text: AoPS Intermediate Algebra + SM)
Intro to Number Theory, Counting and Probability (Text: AoPS)
AMC 8, 10, 12 Previous Problems
AIME Topics, AIME Problems
Sample Pre-recorded Lectures (More)
Pre-Algebra: Addition and Subtraction (Ref: AoPS Pre-Algebra Secs 1.1–1.3)
Algebra 1: Sum and Difference of Cubes (Ref: AoPS Introduction to Algebra Sec 11.3)
Geometry: Side-Angle-Side Similarity (Ref: AoPS Introduction to Geometry Sec 5.3)
Geometry Supplementary Material: Five Notable Proofs of the Pythagorean Theorem
Algebra 2: Four Important Logarithmic Identities ( Ref: AoPS Intermediate Algebra Sec 13.1)
A Correction to AoPS Intermediate Algebra, Section 10.4, Problem 10.27 (1971 AHSME Problem 33)
Prospective Students
If you have any questions about our programs, please complete the New Student Inquiry Form. If you're interested in joining our programs, please fill out the New Student Intake Form. Once you submit these forms, you will receive a link to schedule an initial consultation, should you wish to proceed.
Some students opt for a few trial lessons in our live Zoom small-group classes, while others prefer tutorial-style video lectures for self-guided study. New students can take up to three trial lessons, paying per session. This trial period provides a valuable opportunity to explore our classes and allows us to assess whether our programs are a good fit for them, offering professional recommendations for their learning path. If you're unsure which course to start with, feel free to request a diagnostic test. New students can also schedule a consultation session with Dr. Xue at a discounted rate to get a head start in our program. Please visit the Appointments page to schedule and select the “one-time session” option.
School News (Newsletters)
April 6, 2025: Student Feedback on Classes — While parents often request fully live classes, students seem to prefer the combined approach of pre-recorded, tutorial-style videos and interactive live sessions.
April 6, 2025: Student Teacher Zening — Pioneer of Our Volunteer Program and MATHCOUNTS Program
March 23, 2025: Student teacher Jotin (8th grade, 13 years old) has completed 30 hours of volunteer tutoring for the AoPS Introduction to Counting and Probability course. Jotin is a thoughtful teacher and a skilled problem writer. Feedback from the student's mother: "Jotin is excellent!"
February 18, 2025: Dr. Xue’s Math School supports underprivileged children in China to stay in school through the Hometown Education Foundation, a non-profit founded by Professor Tonghai Yang from the Department of Mathematics at the University of Wisconsin-Madison. Professor Yang is a well-known number theorist.
December 10, 2023: Over 1/3 of the students in our AMC 10 summer intensive training program achieved AIME qualification in 2023.
December 8, 2023: Dr. Xue's Math School has started a Special Creativity Award for the Minnesota State Science & Engineering Fair, for best creative use of mathematics in pre-college science and research. Two middle schoolers and two high schoolers will receive the award each year starting 2025.
July, 2019: Dr. Xue received the Presidential Early Career Award for Scientists and Engineers (PECASE) from the White House.
Dream Big. Do Right. Enjoy Every Moment.
Dive deeper, beyond the surface, to uncover the beauty of mathematics.
Work smarter, work more efficiently, not just harder.