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Mathigon에 로그인

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코스 라이브러리
미래의 교과서 살펴보기

기하학숫자와 대수학확률과 응용

중학교

Euclidean Geometry

IntroductionEuclid’s AxiomsRuler and Compass Construction
Even More Constructions
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Angles and Proofs
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Origami and Paper Folding

Transformations and Symmetry

IntroductionRigid Transformations
Congruence
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SymmetrySymmetry Groups and WallpapersSymmetry in PhysicsDilations
Similarity
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Triangles and Trigonometry

IntroductionProperties of Triangles
Midsegments and Similarity
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Triangle CongruencePythagoras’ Theorem
Isosceles and Equilateral Triangles
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TrigonometrySine and Cosine Rules

Polygons and Polyhedra

PolygonsQuadrilateralsTessellationsPolyhedra
Nets and Cross Sections
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Platonic Solids

고등학교

Circles and Pi

IntroductionDegrees and RadiansTangents, Chords and Arcs
The Circle Theorems
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Cyclic Polygons
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Spheres, Cones and CylindersConic Sections

Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher Dimensions
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Fractals

IntroductionThe Sierpinski TriangleThe Mandelbrot Set
Space Filling Curves
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중학교

Divisibility and Primes

Factors and MultiplesDivisibility RulesPrime NumbersThe Distribution of PrimesLowest Common MultiplesGreatest Common Factors

Sequences and Patterns

IntroductionArithmetic and Geometric SequencesFigurate Numbers
Sequences as Functions
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Fibonacci NumbersSpecial SequencesPascal’s Triangle
Limits and Convergence
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Quadratic Equations

Introduction
Binomial Expressions
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Solving Quadratic Equations
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The Quadratic Formula
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Graphing Quadratics
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Projectile Motion
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More Applications
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고등학교

Exponential Functions

Carbon Dating
Exponential Growth and Decay
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Comparing Models
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Compound Interest
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Population Dynamics
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Logic, Sets and Proof

Logic and ParadoxesAxioms and ProofProof by InductionInfinity and Hilbert’s Hotel

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Probability

Introduction
Probability Trees and Venn Diagrams
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Conditional Probability
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The Monty Hall Problem
The Birthday Problem
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True Randomness

Statistics and Data

Casino Mathematics
Data Visualisation
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Center and Spread of Data
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Sampling and Estimation
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The Wisdom of Crowds
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Linear Models
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Combinatorics

FactorialsPermutationsCombinations

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Graphs and Networks

IntroductionThe Bridges of KönigsbergHandshakes and DatingPlanar GraphsMap ColouringThe Travelling Salesman Problem
Scheduling Problems
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Graphs in Everyday Life

Codes and Ciphers

Introduction
Binary Numbers
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Error Detection
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Secret Codes
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The Enigma
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Public Key Cryptography
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Game Theory

The Prisoners’ Dilemma
Cards, Coins and Dice
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The Winning Move
Random Walks
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Chaos Theory

Introduction
Mathematical Billiard
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The Three Body Problem
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Phase Space and Strange Attractors
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The Logistic Map
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