Academic subject guide

Understand university Mathematics research, then build an independent project

  • MIT
  • Stanford
  • Carnegie Mellon

3 of these 17 Mathematics courses are built on open research and tools those labs published. Students work out what the researchers asked, how they tested it, and what the result cannot prove, then turn one part of it into a question of their own, build it, and explain that work in a college application or interview. Compare online and Apgujeong in-person lessons, one-to-one or small group, by readiness.

A mathematics learning track with graphs and problem solving
Parent answer

CIT currently lists 17 listed courses connected to mathematics & statistics for children and teens. Families can learn online or in person in Apgujeong, Gangnam, Seoul, in one-to-one or small-group formats, subject to course availability.

Courses by age and readiness

A strong fit for students who need stronger mathematical foundations or want to apply mathematics in science, AI, economics, or research.

How to read curriculum readiness

Readiness describes the material currently available, not a promised number of lessons.

Lesson-ready
Every learning item includes the evidence, worked example, practical work, and tutor guidance required by CIT's lesson-ready standard.
Learning studio
A structured learning studio with goals, deliverables, and follow-up work is available. Tutors confirm supporting materials before delivery.
Curriculum plan
A sequenced course plan exists, but its dedicated learning studio is still being prepared.
Planned course
This subject is available for consultation, but a teachable lesson sequence is not yet published.

Project courseGrades 3-5Economics & Business, AI & Data

Lesson-ready

Smart Money Makers: AI, Data & Mini Business

  • Uses MIT Scratch

If questions about sales versus profit or fair surveys and bar graphs keep making you ask why, Smart Money Makers: AI, Data & Mini Business lets you investigate the question with evidence, then build and defend an extension of your own.

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Project courseGrades 6-8Economics & Business, AI & Data

Lesson-ready

AI Money Lab: Forecasting, Pricing & Data Products

  • Uses MIT App Inventor

If questions about store profit and loss or demand forecasts keep making you ask why, AI Money Lab: Forecasting, Pricing & Data Products lets you investigate the question with evidence, then build and defend an extension of your own.

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Exam prepGrades 9-12AI & Data, Mathematics & Statistics

Planned course

IB Mathematics: Applications and Interpretation

If you want to understand the important ideas behind mathematical modeling instead of memorizing answers, IB Mathematics: Applications and Interpretation connects statistical hypothesis testing to exam-ready reasoning and a record of how you fixed mistakes.

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Early foundationEarly years to Grade 2Computer Science & Coding, Mathematics & Statistics

Learning studio

Little Algorithm Chef

If exploring recipe steps or robot games that follow cards makes you want to build instead of only watch or read, Little Algorithm Chef lets you make, test, and improve something of your own.

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Project coursePlacement by readinessComputer Science & Coding, Mathematics & Statistics

Lesson-ready

Algorithms & C++ Foundations

If questions about time complexity or shortest-path graph search keep making you ask why, Algorithms & C++ Foundations lets you investigate the question with evidence, then build and defend an extension of your own.

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Early foundationEarly years to Grade 2Engineering & Robotics, Mathematics & Statistics

Learning studio

Euclid Architecture Studio

If exploring triangles and squares or sturdy bridge shapes makes you want to build instead of only watch or read, Euclid Architecture Studio lets you make, test, and improve something of your own.

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Early foundationEarly years to Grade 2Engineering & Robotics, Mathematics & Statistics

Learning studio

Robot Math Odyssey

If exploring robot moves on a grid or left and right turns makes you want to build instead of only watch or read, Robot Math Odyssey lets you make, test, and improve something of your own.

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Project courseGrades 9-12Engineering & Robotics, Mathematics & Statistics

Learning studio

Measuring Emotion: Grades 9-12

  • References the Carnegie Mellon ETC
  • References the Stanford d.school cycle

If questions about the eye's contrast sensitivity or image frequency filters keep making you ask why, Measuring Emotion: Grades 9-12 lets you investigate the question with evidence, then build and defend an extension of your own.

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Early foundationEarly years to Grade 2Mathematics & Statistics

Learning studio

Pattern Detective

If exploring repeating color patterns or clap-and-stomp rhythms makes you want to build instead of only watch or read, Pattern Detective lets you make, test, and improve something of your own.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

AP Calculus AB

If you want to understand the important ideas behind instantaneous rates of change instead of memorizing answers, AP Calculus AB connects the area under a curve to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

AP Calculus BC

If you want to understand the important ideas behind limits and derivatives instead of memorizing answers, AP Calculus BC connects integrals and accumulation to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

AP Precalculus

If you want to understand the important ideas behind how functions change instead of memorizing answers, AP Precalculus connects exponential growth models to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Learning studio

AP Statistics

If you want to understand the important ideas behind sampling distributions instead of memorizing answers, AP Statistics connects hypothesis tests to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

Cambridge IGCSE Additional Mathematics (0606)

If you want to understand the important ideas behind the factor theorem instead of memorizing answers, Cambridge IGCSE Additional Mathematics (0606) connects trigonometric identities to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

Cambridge IGCSE Mathematics (0580)

If you want to understand the important ideas behind ratio and percentage problems instead of memorizing answers, Cambridge IGCSE Mathematics (0580) connects circle theorems to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 9-12Mathematics & Statistics

Planned course

IB Mathematics: Analysis and Approaches

If you want to understand the important ideas behind graph transformations instead of memorizing answers, IB Mathematics: Analysis and Approaches connects logarithms to exam-ready reasoning and a record of how you fixed mistakes.

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Exam prepGrades 6-8Mathematics & Statistics

Planned course

IB MYP Mathematics

If you want to understand the important ideas behind number patterns instead of memorizing answers, IB MYP Mathematics connects real-world math to exam-ready reasoning and a record of how you fixed mistakes.

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What should an admissions reader be able to see?

The student can explain what university researchers asked, how they tested it, and what their evidence cannot prove. The student then identifies the question, decision, result, and limit that belong to their own extension. Useful evidence may include a clear model, justified assumptions, correct calculations, visualized data, and an explanation of uncertainty.

Students documenting hands-on learning at CIT

Questions parents search about Mathematics courses

Which Mathematics course is right for my child's age?

Use age as a starting point, then compare current knowledge, independence, and the work the student wants to sustain. This guide lists 17 listed options and their prerequisites.

Are Mathematics classes available online or in person, one-to-one or in small groups?

Yes. CIT offers online and in-person lessons at its Apgujeong academy in Gangnam, Seoul, with one-to-one and small-group options. A free readiness consultation confirms availability for the selected course.

What Mathematics learning paths can parents compare at CIT?

Depending on age and readiness, families can explore paths such as AP Calculus, AP Statistics, and IB Mathematics. Only currently listed courses appear in the catalog.

How can a student show understanding of university Mathematics research in a college application?

The student should explain the researchers' question, why it matters, how it was tested, and what the evidence cannot prove. Then the student should extend one method through an independent question and document their decisions, result, and limits. Useful evidence may include a clear model, justified assumptions, correct calculations, visualized data, and an explanation of uncertainty. A university name tells a reader who published the original work; the student's own account is what carries the application.

How do parents check the schedule and tuition for Mathematics courses?

CIT first reviews the student's goal, readiness, preferred location, class size, and current availability. The consultation and level check are free; the proposed schedule and tuition are explained before enrollment.