Mathematics Resources & Problem Solving | Cape Cod Science Network

Mathematics is the hidden structure behind discovery

This page gives CapeCodScience.com a strong mathematics foundation: free learning sites, visual tools, competitions, math circles, research organizations, statistics and data science, math art, and college pathways for students who may be just starting to realize how creative math can be.

Cape Cod Free Learning Tools Competitions Math Fields Organizations Data Math + Art Colleges

Local & Regional

Cape Cod, Massachusetts & New England Mathematics

Start close to home. Mathematics supports every science page on CapeCodScience.com — physics, coding, AI, robotics, engineering, ocean data, chemistry, Earth science, and the art of patterns.

Cape Cod / Future

Cape Cod Mathematics & Student Projects

A future local anchor for Cape Cod math clubs, student projects, puzzle circles, tutoring, statistics projects, data science showcases, and STEAM/math-art work. URL to be added when this section is created.

Details to be added → Local Education

Cape Cod Community College — STEM

A local pathway for Cape Cod students beginning college-level math, statistics, computer science, engineering, and science study.

Visit resource → Local STEM

Cape Cod Regional STEM Network

A regional STEM network that can help connect Cape Cod students, educators, and organizations around math and science learning.

Visit resource → Massachusetts

Massachusetts STEM Advisory Council

Statewide Massachusetts STEM initiatives, education information, and pathways that include mathematics and quantitative learning.

Visit resource → Competition

Massachusetts Mathematics League

Math contests and resources that support problem solving and student math teams.

Visit resource → Student Challenge

MathWorks Math Modeling Challenge

A major math modeling competition where high school students use applied mathematics to solve real-world problems.

Visit resource → New England University

MIT Mathematics

A world-renowned mathematics department with undergraduate, graduate, research, and outreach connections.

Visit resource → New England University

Harvard Mathematics

Harvard’s math department offers courses, undergraduate resources, graduate study, research, and community programming.

Visit resource → Research Institute

Harvard Center of Mathematical Sciences and Applications

A Harvard center connecting mathematics with physics, computer science, biology, economics, and other fields.

Visit resource → New England University

Boston University Mathematics & Statistics

Boston University programs in mathematics, statistics, applied math, and research.

Visit resource → New England University

Northeastern Mathematics

Math programs and research connected to data, modeling, applied mathematics, and experiential learning.

Visit resource → New England University

Tufts Mathematics

Tufts mathematics education and research in pure, applied, and interdisciplinary fields.

Visit resource → New England University

Boston College Mathematics

Boston College mathematics programs and research for undergraduate and graduate students.

Visit resource → Massachusetts University

UMass Amherst Mathematics & Statistics

UMass Amherst programs in mathematics, statistics, research, and applied quantitative science.

Visit resource → Massachusetts University

UMass Boston Mathematics

Mathematics programs and courses at UMass Boston.

Visit resource → Massachusetts University

Worcester Polytechnic Institute Mathematical Sciences

Applied mathematics, statistics, data science, and project-based quantitative learning at WPI.

Visit resource → Math + Engineering

Olin College of Engineering

A project-based engineering college where mathematics supports design, modeling, experimentation, and invention.

Visit resource → New England University

Brown Mathematics

Brown University mathematics programs and research.

Visit resource → New England University

Yale Mathematics

Yale mathematics courses, research, seminars, and undergraduate/graduate programs.

Visit resource → New England University

Dartmouth Mathematics

Dartmouth mathematics education, research, and undergraduate opportunities.

Visit resource → New England University

Brandeis Mathematics

Mathematics programs and research at Brandeis University.

Visit resource → Liberal Arts

Amherst College Mathematics & Statistics

Math and statistics in a strong liberal arts setting.

Visit resource → Liberal Arts

Williams College Mathematics & Statistics

A nationally respected undergraduate mathematics and statistics program.

Visit resource →

Student-Friendly

Free & Student-Friendly Mathematics Learning

These links help students build confidence. Some are fully free; some have free sections or freemium options, so visitors should always check current access details.

Free Learning

Khan Academy — Math

Free lessons, videos, practice, quizzes, and pathways from early math through algebra, geometry, calculus, statistics, and test prep.

Visit resource → Free Textbooks

OpenStax Mathematics Textbooks

Free, peer-reviewed math textbooks for algebra, precalculus, calculus, statistics, and college courses.

Visit resource → Free Textbooks

LibreTexts Mathematics

Open math textbooks, course materials, examples, and learning resources across many areas of mathematics.

Visit resource → Free Learning

CK-12 Math

Digital math lessons, adaptive practice, simulations, and FlexBooks for students and teachers.

Visit resource → Interactive Learning

Mathigon

Beautiful interactive lessons, stories, puzzles, and visual explanations that make math feel creative and alive.

Visit resource → Interactive Learning

GeoGebra Math Resources

Interactive math resources, applets, and classroom activities for algebra, geometry, graphing, probability, and more.

Visit resource → Interactive Learning

Desmos Classroom

Interactive classroom activities built around graphing, reasoning, discussion, and mathematical exploration.

Visit resource → Free Tool

Desmos Graphing Calculator

A powerful free graphing calculator for functions, sliders, tables, transformations, and visual math exploration.

Visit resource → Interactive Simulations

PhET Math Simulations

Free interactive simulations that help students see mathematical relationships and patterns.

Visit resource → Problem Solving

NRICH Mathematics

Rich mathematical tasks, investigations, puzzles, and teacher resources from the University of Cambridge.

Visit resource → Advanced High School

Underground Mathematics

Rich tasks and explorations for students moving toward advanced high school and early college mathematics.

Visit resource → Challenge Math

Art of Problem Solving

Problem-solving resources, courses, books, forums, and communities for students who enjoy deeper mathematical challenges.

Visit resource → Free Practice

AoPS Alcumus

A free adaptive problem-solving system from Art of Problem Solving.

Visit resource → Math Mindset

YouCubed

Resources from Stanford’s Jo Boaler and team focused on mathematical mindset, tasks, equity, and classroom learning.

Visit resource → Curriculum

Illustrative Mathematics

High-quality K–12 math curriculum and tasks that support reasoning and conceptual understanding.

Visit resource → K–8 Learning

Zearn Math

Digital math learning and curriculum resources used by many schools for elementary and middle school math.

Visit resource → Student Friendly

Math Is Fun

Clear explanations, examples, games, and reference pages for arithmetic, algebra, geometry, statistics, and more.

Visit resource → Algebra Help

Purplemath

Step-by-step algebra explanations and examples for students who need extra support.

Visit resource → College Math

Paul’s Online Math Notes

Popular free notes for algebra, calculus, differential equations, and higher math topics.

Visit resource → Free College Courses

MIT OpenCourseWare Mathematics

Free MIT course materials in calculus, differential equations, linear algebra, probability, discrete math, and more.

Visit resource → Calculus

MIT Single Variable Calculus

A complete free MIT calculus course with videos, notes, and practice materials.

Visit resource → Discrete Math

MIT Mathematics for Computer Science

A classic free course connecting proofs, logic, discrete structures, graphs, probability, and computer science.

Visit resource → Visual Math

3Blue1Brown

Beautiful visual explanations of calculus, linear algebra, neural networks, probability, and mathematical ideas.

Visit resource → Math Videos

Numberphile

Videos about numbers, puzzles, mathematics, mathematicians, and surprising ideas.

Visit resource → Conceptual Learning

BetterExplained

Intuitive explanations of calculus, algebra, statistics, complex numbers, and mathematical thinking.

Visit resource → Foundations

The Math Page

Free lessons in arithmetic, algebra, trigonometry, and calculus basics.

Visit resource → Free Textbooks

OpenTextBookStore Mathematics

A catalog of open math textbooks for arithmetic, algebra, calculus, statistics, and higher math.

Visit resource → Precalculus

Mathematics LibreTexts — Precalculus

Open precalculus resources for functions, trigonometry, analytic geometry, and preparation for calculus.

Visit resource → Statistics

OpenIntro Statistics

Free statistics textbooks, labs, datasets, and teaching resources.

Visit resource → Statistics Visuals

Seeing Theory

Interactive visual explanations of probability and statistics from Brown University students.

Visit resource →

Tools

Math Tools, Calculators, Visualizers & Software

Mathematics becomes more approachable when students can see, test, graph, simulate, compute, and write ideas clearly.

Math Tools

GeoGebra

Free graphing, geometry, 3D, spreadsheet, CAS, and classroom tools for exploring mathematics visually.

Visit resource → Math Tools

Desmos

Free graphing, scientific, 3D, geometry, and classroom tools widely used by students and teachers.

Visit resource → Computation

Wolfram|Alpha Math

Computational answers, graphs, checks, and explanations across many math topics.

Visit resource → Reference

Wolfram MathWorld

A deep mathematics encyclopedia covering algebra, geometry, calculus, topology, number theory, and more.

Visit resource → Number Patterns

OEIS — Online Encyclopedia of Integer Sequences

A famous database for recognizing and exploring number sequences.

Visit resource → Advanced Reference

NIST Digital Library of Mathematical Functions

Authoritative reference for special functions, equations, graphs, and mathematical formulas.

Visit resource → Open Source

SageMath

Open-source mathematics software for algebra, calculus, number theory, graph theory, statistics, and more.

Visit resource → Collaborative Computing

CoCalc

Online collaborative notebooks and computational tools for SageMath, Python, LaTeX, and math education.

Visit resource → Notebooks

Jupyter

Open-source notebooks for math, data science, coding, visualization, and reproducible work.

Visit resource → Notebooks

Google Colab

Browser-based notebooks useful for Python, data, statistics, machine learning, and applied math projects.

Visit resource → Statistics Software

R Project

A major open-source language and environment for statistics, graphics, and data analysis.

Visit resource → Data Tools

RStudio / Posit

Tools and resources for R, Python, data science, statistical computing, and reproducible analysis.

Visit resource → Scientific Python

NumPy

Core Python package for arrays and numerical computing.

Visit resource → Scientific Python

SciPy

Open-source software for mathematics, science, engineering, optimization, statistics, and signal processing.

Visit resource → Data Analysis

Pandas

Python data structures and analysis tools for tables, time series, and applied statistics.

Visit resource → Visualization

Matplotlib

Python plotting library for graphs, charts, visualizations, and math/data communication.

Visit resource → Scientific Computing

Julia Language

A language designed for high-performance numerical, scientific, and mathematical computing.

Visit resource → Proof Tools

Lean Theorem Prover

A formal proof system used for modern mathematics, logic, verification, and proof-checking.

Visit resource → Formal Math

mathlib Community

Community resources for Lean and mathlib, a large library of formalized mathematics.

Visit resource → LaTeX

Overleaf

Online LaTeX writing and collaboration, useful for math papers, equations, reports, and research.

Visit resource → Math Writing

LaTeX Project

The typesetting system widely used for mathematical documents, equations, and research papers.

Visit resource → Web Math

MathJax

A JavaScript display engine for showing mathematical notation beautifully on websites.

Visit resource → Math Solver

Symbolab

A freemium step-by-step solver for algebra, calculus, equations, and graphing.

Visit resource → Math Solver

Mathway

A freemium calculator and problem-solving tool across many math areas.

Visit resource → Homework Tool

Photomath

A math scanning and step-by-step learning app; students should use it to learn, not just copy answers.

Visit resource →

Competitions

Math Competitions, Clubs, Circles & Challenges

Competitions are not the only path into math, but they can help students discover the joy of clever problems, teamwork, persistence, and mathematical creativity.

Competition

MAA American Mathematics Competitions

The AMC program includes AMC 8, AMC 10, AMC 12, AIME, USAMO, and pathways toward international competition.

Visit resource → Competition

MAA Invitational Competitions

AIME, USAJMO, USAMO, and related invitational competitions for students who excel in the AMC sequence.

Visit resource → Olympiad

International Mathematical Olympiad

The famous international high-school mathematics competition with national teams from around the world.

Visit resource → Olympiad

European Girls’ Mathematical Olympiad

An international math olympiad that encourages and celebrates talented young women in mathematics.

Visit resource → Middle School

MATHCOUNTS

A major U.S. middle-school math competition and enrichment program.

Visit resource → Elementary / Middle

MOEMS — Math Olympiads for Elementary and Middle Schools

Problem-solving contests for younger students to build math confidence and creativity.

Visit resource → Competition

Math Kangaroo USA

An international-style math competition for students in grades 1–12.

Visit resource → Team Competition

Purple Comet! Math Meet

A free online international team mathematics competition.

Visit resource → Competition

Math League

Mathematics contests and tournaments for elementary, middle, and high school students.

Visit resource → Elementary / Middle

Noetic Learning Math Contest

A semiannual problem-solving contest for elementary and middle-school students.

Visit resource → Competition

Continental Mathematics League

A long-running set of mathematics competitions for several grade levels.

Visit resource → Modeling

MathWorks Math Modeling Challenge

Students use math modeling to tackle open-ended, real-world problems.

Visit resource → Modeling

COMAP High School Mathematical Contest in Modeling

A team contest where high school students create mathematical models and write solution papers.

Visit resource → Modeling

International Mathematical Modeling Challenge

International team competition focused on mathematical modeling of real-world problems.

Visit resource → Data Competition

ASA DataFest

A data analysis competition where students work in teams on a large, real dataset.

Visit resource → Tournament

Harvard-MIT Mathematics Tournament

A student-run math tournament drawing strong high-school problem solvers.

Visit resource → Tournament

Princeton University Mathematics Competition

A student-run high-school math contest hosted by Princeton students.

Visit resource → Tournament

Berkeley Math Tournament

A math tournament organized by Berkeley students for middle and high school participants.

Visit resource → Tournament

Stanford Math Tournament

A student-organized mathematics competition at Stanford.

Visit resource → Girls in Math

Math Prize for Girls

A major math competition designed to encourage young women in mathematics.

Visit resource → Proof & Problem Solving

USA Mathematical Talent Search

A proof-based problem-solving program that gives students time to write thoughtful solutions.

Visit resource → Canada

Canadian Mathematical Society Competitions

Canadian math competitions and olympiad pathways.

Visit resource → Canada

University of Waterloo CEMC Contests

Large international mathematics and computing contests from the Centre for Education in Mathematics and Computing.

Visit resource → United Kingdom

UK Mathematics Trust

UK math challenges, olympiad pathways, and enrichment resources.

Visit resource → Australia

Australian Mathematics Competition

A major annual math competition run by the Australian Maths Trust.

Visit resource → University

International Mathematics Competition for University Students

An international mathematics competition for university students.

Visit resource →

Big Ideas

Mathematics Fields & Big Ideas

Mathematics is not just arithmetic. It includes patterns, structures, proofs, change, uncertainty, shapes, computation, logic, and models of the world.

Algebra

Algebra — Khan Academy

A strong starting point for equations, functions, graphs, systems, inequalities, and mathematical structure.

Visit resource → Geometry

Geometry — GeoGebra Resources

Interactive geometry tools for exploring shapes, proofs, angles, transformations, and construction.

Visit resource → Calculus

Calculus — MIT OCW

Free calculus learning materials connecting change, motion, slopes, areas, and accumulation.

Visit resource → Linear Algebra

Linear Algebra — 3Blue1Brown

Visual explanations of vectors, matrices, transformations, eigenvectors, and the geometry behind linear algebra.

Visit resource → Probability

Probability — Seeing Theory

Interactive probability lessons using visual simulations and examples.

Visit resource → Statistics

Statistics — OpenIntro

Free introductory statistics textbook and resources for learning data, inference, models, and uncertainty.

Visit resource → Number Theory

Number Theory — MathWorld

Reference entries on primes, divisibility, modular arithmetic, sequences, and classic number patterns.

Visit resource → Discrete Math

Discrete Mathematics — MIT OCW

Logic, proof, graphs, counting, probability, and the math behind computer science.

Visit resource → Graph Theory

Graph Theory — MathWorld

Reference material on networks, graphs, paths, trees, coloring, and connectivity.

Visit resource → Topology

Topology — MathWorld

Ideas about shape, continuity, surfaces, spaces, knots, and geometry at a deeper level.

Visit resource → Differential Equations

Differential Equations — Paul’s Notes

Free notes on differential equations used to model motion, growth, waves, circuits, and natural systems.

Visit resource → Complex Numbers

Complex Numbers — BetterExplained

A visual introduction to imaginary and complex numbers.

Visit resource → Waves & Signals

Fourier Series — 3Blue1Brown

Visual explanations of Fourier ideas that connect math to waves, music, images, and physics.

Visit resource → AI Math

Mathematics of Machine Learning — MIT OCW

A higher-level course connecting mathematics to machine learning.

Visit resource → Computation

Numerical Analysis — MathWorld

Mathematics of approximation, algorithms, computation, and numerical methods.

Visit resource → Optimization

Optimization — NEOS Guide

An educational guide to optimization: finding the best choice under constraints.

Visit resource → Game Theory

Game Theory — Stanford Encyclopedia of Philosophy

A deeper introduction to strategic reasoning, decisions, cooperation, and conflict.

Visit resource → Logic

Logic — Open Logic Project

Open educational materials in logic, proofs, computability, and foundations.

Visit resource → Advanced Math

Category Theory — nLab

A collaborative resource for category theory and connected advanced mathematics.

Visit resource → Applied Math

Mathematical Biology — Society for Mathematical Biology

Mathematics applied to biology, ecology, medicine, populations, and living systems.

Visit resource →

Organizations

Mathematics Societies, Institutes & Research Centers

These organizations help mathematics grow: through research, teaching, competitions, outreach, equity, publications, and public understanding.

Society

American Mathematical Society

A major professional society supporting mathematical research, publications, meetings, and outreach.

Visit resource → Society

Mathematical Association of America

A major organization focused on mathematics education, competitions, students, and the broader math community.

Visit resource → Applied Math

Society for Industrial and Applied Mathematics

Professional society for applied math, computational science, modeling, and interdisciplinary problem solving.

Visit resource → Teaching

National Council of Teachers of Mathematics

A major organization for mathematics educators, standards, classroom resources, and professional learning.

Visit resource → International

International Mathematical Union

International organization supporting mathematics worldwide, including the Fields Medal and global mathematical collaboration.

Visit resource → International

European Mathematical Society

A European organization supporting mathematical research, education, publications, and events.

Visit resource → Society

London Mathematical Society

A major UK learned society supporting mathematics and mathematicians.

Visit resource → Statistics

Institute of Mathematical Statistics

International society supporting probability and statistics research.

Visit resource → Statistics

American Statistical Association

Professional organization for statistics, data science, statistical education, and careers.

Visit resource → Inclusion

Association for Women in Mathematics

An organization encouraging women and girls in mathematics and supporting equity in the math community.

Visit resource → Inclusion

National Association of Mathematicians

Supports the mathematical development of underrepresented groups and promotes excellence in mathematics.

Visit resource → Math Education

Benjamin Banneker Association

Supports mathematics education advocacy and excellence especially for Black children and communities.

Visit resource → Equity

Todos: Mathematics for ALL

Promotes equity and high-quality mathematics education for all students.

Visit resource → Research Institute

Clay Mathematics Institute

A global organization supporting the beauty, power, and universality of mathematical thought.

Visit resource → Research Institute

Institute for Advanced Study — Mathematics

A historic center for fundamental mathematical research.

Visit resource → Research Institute

American Institute of Mathematics

A mathematics institute supporting research, workshops, problem lists, and open collaboration.

Visit resource → Research Institute

Simons Laufer Mathematical Sciences Institute

A major mathematical sciences institute formerly known as MSRI.

Visit resource → Research Institute

ICERM

The Institute for Computational and Experimental Research in Mathematics at Brown University.

Visit resource → Research Institute

Fields Institute

A Canadian mathematical sciences institute supporting research, education, and outreach.

Visit resource → Research Institute

Banff International Research Station

A research station hosting mathematical sciences workshops and collaborations.

Visit resource → Research Institute

Isaac Newton Institute

A major international mathematics research institute at Cambridge.

Visit resource → Research Institute

Hausdorff Center for Mathematics

A German research center for mathematics at the University of Bonn.

Visit resource → Research Institute

Max Planck Institute for Mathematics

A leading international mathematics research institute in Bonn.

Visit resource → Research Institute

Oberwolfach Mathematical Research Institute

A famous international center for mathematical workshops and collaboration.

Visit resource → Research Institute

Institut Henri Poincaré

A Paris-based institute supporting mathematics, theoretical physics, and public outreach.

Visit resource → Global Education

AIMS — African Institute for Mathematical Sciences

A pan-African network advancing mathematical sciences education, research, and leadership.

Visit resource →

Applied Math

Statistics, Data Science & Applied Mathematics

Students often discover mathematics through real problems: climate data, ocean measurements, sports, music, health, economics, engineering, and public decisions.

Careers

This is Statistics

A student-friendly site showing how statistics careers connect to sports, climate, health, business, and public decisions.

Visit resource → Statistics Education

ASA Education

Statistics education resources, careers, competitions, and learning pathways.

Visit resource → Free Statistics

OpenIntro Statistics

Free textbooks and resources for probability, statistics, data, and inference.

Visit resource → Statistics Videos

StatQuest

Friendly explanations of statistics, machine learning, and data science concepts.

Visit resource → Data Science

Kaggle Learn

Short practical courses in Python, data visualization, machine learning, and data analysis.

Visit resource → Data Science

Data 8 — UC Berkeley

Foundations of data science course resources combining statistics, computation, and real-world data.

Visit resource → Data Literacy

Our World in Data

Uses data and visualizations to understand global issues in health, environment, population, energy, and more.

Visit resource → Data Literacy

Gapminder

Tools and resources for understanding global trends through statistics and visual data.

Visit resource → Data Visualization

FlowingData

Examples and discussion of data visualization, charts, and statistical storytelling.

Visit resource → Public Data

FiveThirtyEight Data

Public datasets behind many data journalism stories; useful for student statistics projects.

Visit resource → Open Data

Data.gov

U.S. government open datasets for student projects, statistics, mapping, and civic analysis.

Visit resource → Global Data

World Bank Open Data

International development data that students can use for applied statistics and modeling projects.

Visit resource → Public Data

Census Data

U.S. Census Bureau data for demographics, communities, geography, economics, and statistics projects.

Visit resource → Environmental Data

NOAA Climate Data Online

Climate and weather data useful for real-world mathematics, graphing, statistics, and environmental projects.

Visit resource → Earth Data

NASA Earthdata

Earth observation data for projects involving climate, weather, oceans, land, and remote sensing.

Visit resource → Environment Math

Mathematics of Sustainability — MAA SIGMAA EM

A community connecting mathematics with environmental science and sustainability.

Visit resource →

STEAM

Mathematics, Art, Music & Beauty

Math belongs in STEAM because it is full of pattern, rhythm, structure, symmetry, imagination, visual beauty, and creative discovery.

Math Museum

National Museum of Mathematics

A museum celebrating the beauty, creativity, and playfulness of mathematics.

Visit resource → Math + Art

Bridges Organization — Math Art

An organization dedicated to connections between mathematics, art, music, architecture, and culture.

Visit resource → Math Visualization

IMAGINARY — Open Mathematics

Open visual mathematics exhibits, images, software, and public outreach resources.

Visit resource → Math + Art

AMS Mathematical Imagery

A gallery of mathematical images showing the visual beauty of mathematical ideas.

Visit resource → Graphing Art

Desmos Art

Examples of creative artwork made with mathematical equations and graphs.

Visit resource → Interactive Art

GeoGebra Art

Interactive examples where geometry, graphs, and math become visual art.

Visit resource → Math + Art

Mathematical Art Galleries

A gallery of mathematical art from the Bridges community.

Visit resource → Math + Sculpture

George Hart — Mathematical Sculpture

Mathematical sculpture, geometry, puzzles, and creative constructions.

Visit resource → Math + Art

Erik Demaine — Mathematics Meets Art

Research and art involving folding, geometry, algorithms, sculpture, and mathematical creativity.

Visit resource → Math Videos

Vi Hart

Creative math videos exploring patterns, doodles, music, geometry, and playful mathematical thinking.

Visit resource → Geometry

Geometry Games

Interactive games and visualizations about geometry, topology, and shape.

Visit resource → Art + Geometry

M.C. Escher Foundation

Official information about M.C. Escher, whose art connects deeply with symmetry, geometry, tessellations, and infinity.

Visit resource →

Higher Education

U.S. & Canadian Colleges / Universities

These links are useful for students exploring undergraduate math, statistics, applied math, data science, and graduate pathways.

United States

MIT Mathematics

Mathematics education and research at MIT.

Visit resource → United States

Princeton Mathematics

One of the world’s leading mathematics departments.

Visit resource → United States

Harvard Mathematics

Undergraduate and graduate mathematics, research, seminars, and community resources.

Visit resource → United States

Stanford Mathematics

Mathematics programs and research at Stanford University.

Visit resource → United States

UC Berkeley Mathematics

Large mathematics department with pure and applied research.

Visit resource → United States

University of Chicago Mathematics

Historic mathematics department with deep research traditions.

Visit resource → United States

Caltech Mathematics

Mathematics at Caltech within physics, mathematics, and astronomy.

Visit resource → United States

UCLA Mathematics

Mathematics education and research across pure, applied, computational, and interdisciplinary areas.

Visit resource → United States

University of Michigan Mathematics

Mathematics programs, research, and outreach at the University of Michigan.

Visit resource → United States

Cornell Mathematics

Mathematics research and teaching at Cornell University.

Visit resource → United States

Columbia Mathematics

Mathematics department at Columbia University.

Visit resource → United States

Yale Mathematics

Yale mathematics courses, research, and student resources.

Visit resource → United States

Brown Mathematics

Mathematics education and research at Brown University.

Visit resource → United States

University of Pennsylvania Mathematics

Mathematics research and teaching at Penn.

Visit resource → United States

Duke Mathematics

Mathematics programs and research at Duke University.

Visit resource → United States

NYU Courant Institute

A major center for mathematics, applied mathematics, computer science, and data science.

Visit resource → United States

Rutgers Mathematics

Mathematics programs and research at Rutgers University.

Visit resource → United States

University of Illinois Mathematics

Mathematics education and research at UIUC.

Visit resource → United States

University of Washington Mathematics

Mathematics programs and research in Seattle.

Visit resource → United States

University of Texas Mathematics

Mathematics at the University of Texas at Austin.

Visit resource → United States

UC San Diego Mathematics

Mathematics programs and research at UC San Diego.

Visit resource → United States

Georgia Tech Mathematics

Mathematics connected to science, engineering, computation, and applications.

Visit resource → United States

University of Wisconsin Mathematics

Mathematics education and research at UW–Madison.

Visit resource → United States

University of Minnesota Mathematics

Mathematics research and teaching in the College of Science and Engineering.

Visit resource → United States

Carnegie Mellon Mathematical Sciences

Mathematical sciences at CMU, with connections to computation, logic, and applications.

Visit resource → Canada

University of Toronto Mathematics

A major Canadian mathematics department with broad research and education.

Visit resource → Canada

University of Waterloo Mathematics

One of the world’s largest centers for mathematics, computer science, statistics, and related fields.

Visit resource → Canada

University of British Columbia Mathematics

Mathematics programs and research at UBC.

Visit resource → Canada

McGill Mathematics & Statistics

Mathematics and statistics programs at McGill University.

Visit resource → Canada

University of Alberta Mathematical and Statistical Sciences

Mathematics, statistics, and applied quantitative science programs.

Visit resource → Canada

Université de Montréal Mathematics and Statistics

Mathematics and statistics education and research in Montréal.

Visit resource → Canada

Simon Fraser Mathematics

Mathematics programs and research at Simon Fraser University.

Visit resource →

Higher Education

International Mathematics Universities & Institutes

Mathematics is a worldwide language. These links help students see how broad the global math community really is.

United Kingdom

University of Oxford Mathematics

Mathematics at Oxford, including pure, applied, statistics, and interdisciplinary study.

Visit resource → United Kingdom

University of Cambridge Mathematics

Cambridge mathematics, including the famous Mathematical Tripos and research institutes.

Visit resource → United Kingdom

Imperial College London Mathematics

Mathematics at Imperial, with strong connections to science, engineering, finance, and data.

Visit resource → United Kingdom

University College London Mathematics

Mathematics programs and research at UCL.

Visit resource → United Kingdom

University of Warwick Mathematics Institute

A leading UK mathematics department and research center.

Visit resource → United Kingdom

University of Edinburgh Mathematics

Mathematics education and research at the University of Edinburgh.

Visit resource → Switzerland

ETH Zürich Mathematics

Mathematics at ETH Zürich, a major European technical university.

Visit resource → Switzerland

EPFL Mathematics

Mathematics research and education at EPFL.

Visit resource → Germany

University of Bonn Mathematics

Mathematics at Bonn, strongly connected to the Hausdorff Center.

Visit resource → Germany

University of Göttingen Mathematics

A historic mathematics center with deep research traditions.

Visit resource → Germany

Heidelberg Mathematics

Mathematics and computer science at Heidelberg University.

Visit resource → Germany

Technical University of Munich Mathematics

Mathematics at TUM, connecting math, science, engineering, and computation.

Visit resource → France

Université Paris-Saclay Mathematics

Mathematics and applications programs in one of France’s major research ecosystems.

Visit resource → France

Sorbonne University Mathematics

Mathematics research and education in Paris.

Visit resource → France

ENS Mathematics

Mathematics and applications at École normale supérieure.

Visit resource → Netherlands

Leiden Mathematical Institute

Mathematics at Leiden University.

Visit resource → Denmark

University of Copenhagen Mathematical Sciences

Mathematics research and education at Copenhagen.

Visit resource → Norway

University of Oslo Mathematics

Mathematics at the University of Oslo.

Visit resource → Sweden

Stockholm University Mathematics

Mathematics and mathematical statistics in Stockholm.

Visit resource → Finland

Aalto University Mathematics

Mathematics and systems analysis connected to technology and applications.

Visit resource → Israel

Hebrew University Einstein Institute of Mathematics

Mathematics at the Hebrew University of Jerusalem.

Visit resource → Israel

Weizmann Institute Mathematics and Computer Science

Mathematics and computer science research at the Weizmann Institute.

Visit resource → Israel

Technion Mathematics

Mathematics at the Technion.

Visit resource → Japan

University of Tokyo Mathematics

Graduate School of Mathematical Sciences at the University of Tokyo.

Visit resource → Japan

Kyoto University Mathematics

Mathematics research and education at Kyoto University.

Visit resource → China

Tsinghua University Mathematical Sciences

Mathematical sciences at Tsinghua University.

Visit resource → China

Peking University School of Mathematical Sciences

Mathematical sciences at Peking University.

Visit resource → Singapore

National University of Singapore Mathematics

Mathematics at NUS.

Visit resource → Singapore

Nanyang Technological University Mathematical Sciences

Mathematical sciences at NTU Singapore.

Visit resource → India

Indian Statistical Institute

A major institute for statistics, mathematics, computer science, and quantitative research.

Visit resource → India

Tata Institute of Fundamental Research Mathematics

A leading Indian center for mathematical research.

Visit resource → India

IIT Bombay Mathematics

Mathematics at the Indian Institute of Technology Bombay.

Visit resource → Australia

University of Melbourne Mathematics and Statistics

Mathematics and statistics at the University of Melbourne.

Visit resource → Australia

Australian National University Mathematical Sciences

Mathematical sciences at ANU.

Visit resource → Australia

University of Sydney Mathematics and Statistics

Mathematics and statistics at the University of Sydney.

Visit resource → New Zealand

University of Auckland Mathematics

Mathematics education in New Zealand.

Visit resource → South Africa

University of Cape Town Mathematics and Applied Mathematics

Mathematics and applied mathematics at UCT.

Visit resource → South Africa

Stellenbosch Mathematical Sciences

Mathematical sciences at Stellenbosch University.

Visit resource → Brazil

University of São Paulo Mathematics

Mathematics and statistics at the Institute of Mathematics and Statistics, University of São Paulo.

Visit resource → Mexico

UNAM Institute of Mathematics

Mathematics research at the National Autonomous University of Mexico.

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Student Guidance

What every student should know about mathematics

This section gives visitors encouragement and direction, especially students who may not yet realize that mathematics can be creative, useful, and deeply human.

Guidance

Start with curiosity, not fear

Math is not just speed or memorization. Good mathematicians ask questions, test ideas, draw pictures, look for patterns, and learn from mistakes.

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Use tools to understand, not just answer

Calculators and AI can help check work, visualize patterns, and explain steps — but the real goal is to understand why the answer makes sense.

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Write your thinking clearly

A clean explanation is often more valuable than a final number. Math communication helps with science fairs, coding, research, and college work.

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Explore both pure and applied math

Some math is beautiful because it is abstract. Some is powerful because it solves real-world problems. Students should feel free to explore both.

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Connect math to your passions

Math appears in music, art, waves, robots, games, animation, finance, medicine, astronomy, ocean science, and environmental data.

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Build a project portfolio

Students can create graphs, simulations, data stories, Desmos art, coding notebooks, statistics projects, and math explainers to show what they are learning.

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Explore other science areas

Each subject page is designed as its own focused resource hub, while also connecting back to the wider Cape Cod Science Network.