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YT 4 minutes 19 seconds
Eddie Woo
Sigma Notation
YT 5 minutes 35 seconds
Eddie Woo
Hyperbolic Sine & Cosine
YT 9 minutes 37 seconds
Eddie Woo
Counter-Intuitive Mathematics: The Harmonic Series, e, and Different Infinities
YT 1 minute 55 seconds
Eddie Woo
Primes in Pascal's Triangle = Mindblown.
YT 8 minutes 55 seconds
Eddie Woo
Grandi's Series: 1-1+1-1+1...
YT 8 minutes 52 seconds
Eddie Woo
The sum of all counting numbers equals WHAT?
YT 9 minutes 1 second
Eddie Woo
Think deeply about simple things
YT 12 minutes 29 seconds
Eddie Woo
Calculating the Golden Ratio Geometrically
YT 8 minutes 19 seconds
Eddie Woo
Constructing the Golden Rectangle
YT 5 minutes 5 seconds
Eddie Woo
Introduction to Beauty & Mathematics
YT 7 minutes 42 seconds
Eddie Woo
Calculating the Golden Ratio Algebraically
YT 8 minutes 43 seconds
Eddie Woo
The Golden Ratio in the Fibonacci Sequence
YT 1 minute 41 seconds
Eddie Woo
The Golden Spiral (brief demonstration)
YT 6 minutes 1 second
Eddie Woo
How do we colour maps?
YT 8 minutes 25 seconds
Eddie Woo
The Four-Colour Theorem
YT 24 seconds
Eddie Woo
Fast Forward Freehand Fractal!
YT 7 minutes 20 seconds
Eddie Woo
Central Inversion & Helical Symmetry
YT 11 minutes 51 seconds
Eddie Woo
Non-Geometric Symmetries
YT 9 minutes 32 seconds
Eddie Woo
Pinwheel Tiling
YT 5 minutes 25 seconds
Eddie Woo
Scale Symmetry
YT 5 minutes 7 seconds
Eddie Woo
How to Draw 3 Simple Fractals
YT 9 minutes 29 seconds
Eddie Woo
Introduction to Fractals: Rivers
YT 3 minutes 42 seconds
Eddie Woo
More quick fractals
YT 11 minutes 53 seconds
Eddie Woo
Iterated Function Systems (1 of 4: Introduction)
YT 7 minutes 3 seconds
Eddie Woo
Iterated Function Systems (2 of 4: The Special Case of f(z)=z²+c)
YT 13 minutes 39 seconds
Eddie Woo
Iterated Function Systems (3 of 4: Bounded & Unbounded Dynamic Sequences)
YT 3 minutes 56 seconds
Eddie Woo
Iterated Function Systems (4 of 4: The Mandelbrot Set)
YT 6 minutes 50 seconds
Eddie Woo
Apollonian Gasket
YT 4 minutes 5 seconds
Eddie Woo
Introduction to Set Theory (1 of 3: Topic Rationale)
YT 13 minutes 31 seconds
Eddie Woo
Introduction to Set Theory (2 of 3: Set Operators)
YT 13 minutes 42 seconds
Eddie Woo
Introduction to Set Theory (3 of 3: Further Language & Notation)
YT 4 minutes 13 seconds
Eddie Woo
Set Theory Diagrams (1 of 2: The Importance of Visual Language)
YT 12 minutes 17 seconds
Eddie Woo
Set Theory Diagrams (2 of 2: Venn & Carroll Diagrams)
YT 12 minutes 21 seconds
Eddie Woo
3-Set Venn & Carroll Diagrams
YT 12 minutes 57 seconds
Eddie Woo
The Problem with 4 Sets (and 2 ways to solve it)
YT 6 minutes 55 seconds
Eddie Woo
Important Sets (1 of 2: Whole Numbers)
YT 1 minute 53 seconds
Eddie Woo
Set Theory Example: Difference of Complements
YT 9 minutes 45 seconds
Eddie Woo
Important Sets (2 of 2: Rational, Real & Complex Numbers)
YT 3 minutes 54 seconds
Eddie Woo
Set Builder Notation
YT 3 minutes 5 seconds
Eddie Woo
Is mathematics discovered or invented?
YT 13 minutes 30 seconds
Eddie Woo
Algebraic vs. Transcendental Numbers
YT 2 minutes 48 seconds
Eddie Woo
Problem Solving Practice: Comparing two racers
YT 7 minutes 54 seconds
Eddie Woo
Problem Solving Practice: Ways to guess a telephone number
YT 6 minutes 24 seconds
Eddie Woo
Comparing the (unknown) sizes of sets
YT 9 minutes 36 seconds
Eddie Woo
Which set is bigger: the integers or the rational numbers?
YT 8 minutes 37 seconds
Eddie Woo
Countable & Uncountable Infinities
YT 16 minutes 41 seconds
Eddie Woo
What is the basic building block of all mathematics? (A surprising answer!)
YT 9 minutes 9 seconds
Eddie Woo
Dividing by zero?
YT 6 minutes 51 seconds
Eddie Woo
A Brief History of Number Systems (1 of 3: Introduction)
YT 14 minutes 55 seconds
Eddie Woo
A Brief History of Number Systems (2 of 3: From Tallies to Fractions)
YT 7 minutes 45 seconds
Eddie Woo
A Brief History of Number Systems (3 of 3: Negative & Imaginary Numbers)
YT 12 minutes 50 seconds
Eddie Woo
Alternative Counting Systems (1 of 2: Binary)
YT 7 minutes 16 seconds
Eddie Woo
Alternative Counting Systems (2 of 2: Hexadecimal)
YT 5 minutes 39 seconds
Eddie Woo
Introduction to Paradoxes (1 of 3: Algebraic Fallacy)
YT 6 minutes 33 seconds
Eddie Woo
Introduction to Paradoxes (2 of 3: Trigonometric Fallacy)
YT 4 minutes 39 seconds
Eddie Woo
Introduction to Paradoxes (3 of 3: Complex Fallacy)
YT 8 minutes 47 seconds
Eddie Woo
The Monty Hall Problem (1 of 2: Enactment)
YT 2 minutes 9 seconds
Eddie Woo
Paradoxes Explained! (1 of 3: Algebraic Fallacy)
YT 6 minutes 8 seconds
Eddie Woo
The Monty Hall Problem (2 of 2: Explanation)
YT 4 minutes 20 seconds
Eddie Woo
Paradoxes Explained! (2 of 3: Trigonometric Fallacy)
YT 4 minutes 21 seconds
Eddie Woo
Paradoxes Explained! (3 of 3: Complex Fallacy)
YT 8 minutes 41 seconds
Eddie Woo
A Puzzle: 3 Squares & 3 Unusual Angles
YT 5 minutes 17 seconds
Eddie Woo
The Magical Disappearing Square
YT 5 minutes 39 seconds
Eddie Woo
Self-Similarity in the Golden Rectangle
YT 11 minutes 56 seconds
Eddie Woo
The Golden Ratio in the Fibonacci Sequence
YT 11 minutes 17 seconds
Eddie Woo
The Truly Remarkable Lucas Sequence
YT 12 minutes 43 seconds
Eddie Woo
Tangent & Radius are Perpendicular (Proof by Contradiction)
YT 4 minutes 19 seconds
Eddie Woo
Why are Tangent & Secant given their names?
YT 11 minutes 15 seconds
Eddie Woo
Calculating Irregular Areas (1 of 2: Composite Figures)
YT 7 minutes 44 seconds
Eddie Woo
Calculating Irregular Areas (2 of 2: Simpson's Rule)
YT 15 minutes 14 seconds
Eddie Woo
Measuring the Top Playground - by the numbers!
YT 8 minutes 25 seconds
Eddie Woo
Optimal Price Point (1 of 3: Four Questions)
YT 14 minutes 51 seconds
Eddie Woo
Optimal Price Point (2 of 3: Interpreting the Data)
YT 7 minutes 14 seconds
Eddie Woo
Optimal Price Point (3 of 3: Price Sensitivity Meter)
YT 5 minutes 8 seconds
Eddie Woo
Two Surprising Areas Built from Arcs
YT 11 minutes 46 seconds
Eddie Woo
Puzzle: Semicircles in a Triangle
YT 9 minutes 8 seconds
Eddie Woo
The Golden Angle (1 of 2: Calculating its Magnitude)
YT 14 minutes 34 seconds
Eddie Woo
The Golden Angle (2 of 2: Flowers)
YT 7 minutes 9 seconds
Eddie Woo
Dimensions (1 of 3: The Traditional Definition - Directions)
YT 7 minutes 31 seconds
Eddie Woo
Dimensions (2 of 3: A More Flexible Definition - Scale Factor)
YT 9 minutes 38 seconds
Eddie Woo
Dimensions (3 of 3: Fractal Dimensions)
YT 9 minutes 5 seconds
Eddie Woo
Space-Filling Curves (1 of 4: Peano Curve)
YT 6 minutes 8 seconds
Eddie Woo
Space-Filling Curves (2 of 4: Hilbert Curve)
YT 3 minutes 26 seconds
Eddie Woo
Space-Filling Curves (3 of 4: Lebesgue Curve)
YT 9 minutes 53 seconds
Eddie Woo
Space-Filling Curves (4 of 4: Sierpinski Curve)
YT 12 minutes 30 seconds
Eddie Woo
Why is there mathematics in STEM? (1 of 3: Different Kinds of Knowledge)
YT 12 minutes 45 seconds
Eddie Woo
Why is there mathematics in STEM? (2 of 3 Neptune)
YT 6 minutes 48 seconds
Eddie Woo
Why is there mathematics in STEM? (3 of 3: The Higgs Boson)
YT 7 minutes 7 seconds
Eddie Woo
The Travelling Salesman (1 of 3: Understanding the Problem)
YT 11 minutes 23 seconds
Eddie Woo
The Travelling Salesman (2 of 3: Nearest Neighbour & SFCs)
YT 7 minutes 25 seconds
Eddie Woo
The Travelling Salesman (3 of 3: Ant Colonisation Heuristic)
YT 6 minutes 51 seconds
Eddie Woo
The Student, The Fish, and Agassiz
YT 10 minutes 7 seconds
Eddie Woo
Thinking Deeply About Factors (1 of 3: Initial Observations)
YT 5 minutes 34 seconds
Eddie Woo
Thinking Deeply About Factors (2 of 3: Strange Patterns)
YT 13 minutes 2 seconds
Eddie Woo
Thinking Deeply About Factors (3 of 3: Finding Explanations)
YT 6 minutes 15 seconds
Eddie Woo
The Mindblowing Alternating Harmonic Series
YT 3 minutes 29 seconds
Eddie Woo
Π Product Notation
YT 10 minutes 24 seconds
Eddie Woo
Proof: The Harmonic Series is Divergent!
YT 8 minutes 1 second
Eddie Woo
Another Paradox About Unity (Whats behind the index law root a x root b = root a x b)
YT 10 minutes 55 seconds
Eddie Woo
What is Working Mathematically? (MathPASS 2016)
YT 9 minutes 45 seconds
Eddie Woo
How many digits are in the number 2^1024?
YT 3 minutes 34 seconds
Eddie Woo
Beautiful Visual Explanation of Completing the Square
YT 8 minutes 57 seconds
Eddie Woo
Solving Equations with Logic (1 of 2: Outline of Equation and solving for an unknown)
YT 2 minutes 42 seconds
Eddie Woo
Solving Equations with Logic (2 of 2: Using SolveMe Mobiles to simulate an alegbraic equation)
YT 11 minutes 18 seconds
Eddie Woo
Parallel Lines (1 of 5: Relationship between parallel lines, the triangles formed and the area)
YT 7 minutes 57 seconds
Eddie Woo
Parallel Lines (2 of 5: Constructing Parallel Lines to take advantages of the properties)
YT 9 minutes 21 seconds
Eddie Woo
Parallel Lines (3 of 5: Using the Properties and Ratios to find the area of the triangle)
YT 6 minutes 47 seconds
Eddie Woo
Parallel Lines (4 of 5: Proving that compound areas are the sum of their components)
YT 9 minutes 37 seconds
Eddie Woo
Parallel Lines (5 of 5: Applying same base property)
YT 4 minutes 56 seconds
Eddie Woo
Menseki Meiro (1 of 2: How to play)
YT 11 minutes 15 seconds
Eddie Woo
Menseki Meiro (2 of 2: Harder puzzles)
YT 5 minutes 12 seconds
Eddie Woo
Intro to Mobile Phone Plans (1 of 2: In the news)
YT 8 minutes 13 seconds
Eddie Woo
Intro to Mobile Phone Plans (2 of 2: Reading a plan)
YT 11 minutes 53 seconds
Eddie Woo
Memory and File Size (1 of 2: Comparing scale of Memory & Capacity and converting between units)
YT 9 minutes 4 seconds
Eddie Woo
Memory and File Size (2 of 2: Explaining the scale of Memory, 'Why 1024?')
YT 7 minutes 48 seconds
Eddie Woo
Data Transfers (1 of 2: Converting between bits and bytes)
YT 7 minutes 20 seconds
Eddie Woo
Data Transfers (2 of 2: Applying the conversion of data units to find out download time)
YT 6 minutes 24 seconds
Eddie Woo
Random Selection (Using Listing of a simplified case to solve for sample space)
YT 7 minutes 56 seconds
Eddie Woo
Simpson's Rule (1 of 2: Outlining the uses for simpson's rule)
YT 6 minutes 1 second
Eddie Woo
Simpson's Rule (2 of 2: Applying simpson's rule on irregularly shaped areas)
YT 3 minutes 52 seconds
Eddie Woo
Simpson's Rule (II) (Applying Simpson's Rule multiple times to increase accuracy)
YT 7 minutes 54 seconds
Eddie Woo
Preliminary Mathematics Extension 1: The Reference Sheet
YT 7 minutes 24 seconds
Eddie Woo
Number Sets & Graphing Solutions on a Number Line
YT 12 minutes 36 seconds
Eddie Woo
The Density of 3D Printing Filament
YT 10 minutes 53 seconds
Eddie Woo
Emmy Noether & Mathematical Fields
YT 9 minutes 24 seconds
Eddie Woo
Noether - Problems I Enjoy (1 of 3: General strategies)
YT 6 minutes 48 seconds
Eddie Woo
Noether - Problems I Enjoy (2 of 3: Exploring the constraints)
YT 6 minutes 10 seconds
Eddie Woo
Noether - Problems I Enjoy (3 of 3: Communicating the solution)
YT 11 minutes 29 seconds
Eddie Woo
Random Number Generation (1 of 2: By calculator)
YT 6 minutes 49 seconds
Eddie Woo
Random Number Generation (2 of 2: By spreadsheet)
YT 7 minutes 58 seconds
Eddie Woo
Factorisation (1 of 4: What's the point?)
YT 11 minutes 3 seconds
Eddie Woo
Factorisation (2 of 4: Unlocking a number's structure)
YT 10 minutes 1 second
Eddie Woo
Factorisation (3 of 4: Applying difference of squares)
YT 6 minutes 28 seconds
Eddie Woo
Factorisation (4 of 4: The factors of z^4 + 4)
YT 11 minutes 9 seconds
Eddie Woo
Evaluating a Series of Related Fractions (1 of 2: Exploring the problem)
YT 11 minutes 26 seconds
Eddie Woo
Evaluating a Series of Related Fractions (2 of 2: Completing the solution)
YT 6 minutes 24 seconds
Eddie Woo
Why is problem solving important in mathematics?
YT 8 minutes 52 seconds
Eddie Woo
Antipodal Points
YT 10 minutes 15 seconds
Eddie Woo
Number Bases (1 of 5: Exploring numbers through a spreadsheet)
YT 8 minutes 36 seconds
Eddie Woo
Number Bases (2 of 5: Investigating decimal expansions)
YT 7 minutes 10 seconds
Eddie Woo
Number Bases (3 of 5: What is the "base" of a number system?)
YT 6 minutes 49 seconds
Eddie Woo
Number Bases (4 of 5: Converting between bases)
YT 8 minutes 2 seconds
Eddie Woo
Number Bases (5 of 5: Conversion to binary & hexadecimal)
YT 8 minutes 40 seconds
Eddie Woo
Enrichment Problem: Arranging Counters on a Plane
YT 8 minutes 19 seconds
Eddie Woo
Enrichment Problem: $1,000,000 in Specific Denominations (1 of 2: Setup)
YT 6 minutes 53 seconds
Eddie Woo
Enrichment Problem: $1,000,000 in Specific Denominations (2 of 2: Solution)
YT 10 minutes 33 seconds
Eddie Woo
Pentomino Puzzles (1 of 2: Animal, Vegetable, Mineral)
YT 5 minutes 42 seconds
Eddie Woo
Pentomino Puzzles (2 of 2: Rectangular arrays)
YT 6 minutes
Eddie Woo
Futoshiki (fun puzzle with inequalities)
YT 11 minutes 23 seconds
Eddie Woo
A Lesson in Memory
YT 14 minutes 3 seconds
Eddie Woo
Exploring the mathematics of Loops
YT 19 minutes 38 seconds
Eddie Woo
NSW Education Live: Morning Maths with Mr. Woo
YT 9 minutes 5 seconds
Eddie Woo
Parametric equations on one Cartesian path (1 of 2: Introduction)
YT 15 minutes 23 seconds
Eddie Woo
Parametric equations on one Cartesian path (2 of 2: Domain & direction)
YT 7 minutes 47 seconds
Eddie Woo
Symmetrical Exponential Question (1 of 2: Trivial solution)
YT 11 minutes 5 seconds
Eddie Woo
Symmetrical Exponential Question (2 of 2: Comparing further values)
YT 7 minutes 47 seconds
Eddie Woo
Countdown Card Trick (3 of 3: Transforming the trick)
YT 9 minutes 40 seconds
Eddie Woo
Countdown Card Trick (1 of 3: Performing the trick)
YT 7 minutes 30 seconds
Eddie Woo
Countdown Card Trick (2 of 3: Understanding the trick)
YT 9 minutes 4 seconds
Eddie Woo
Jack the Hunter (1 of 2: Performing the trick)
YT 15 minutes 58 seconds
Eddie Woo
Jack the Hunter (2 of 2: Explaining the trick)