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Insights into Mathematics
Area Problems Using Multiplication - Elementary Mathematics Explained

Use rectangle areas and multiplication to solve grid-plane area problems, including figures with holes.
- YouTube
- 26 minutes
- Self-Paced
- Free Video
Tom Rocks Maths
Oxford University Mathematics Admissions Interview Questions - Part 2

An Oxford mathematician works through two admissions interview questions, from a functional equation to counting the trailing zeros in 1000!.
- YouTube
- 41 minutes
- Self-Paced
- Free Video
Tom Rocks Maths
How to Be More Productive Using Mathematics

A productivity model shows how mathematical methods can be used to analyze work and identify an optimal approach.
- YouTube
- 45 minutes
- Self-Paced
- Free Video
Insights into Mathematics
The Central Object in Mathematics: Lattices and Their Connections

An informal introduction to the meet-semilattice Wildberger calls a lattice, and its connections across pure mathematics.
- YouTube
- 20 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Dispelling Limit Confusions in Pure Mathematics - Three Types of Series Limits

Untangles three meanings of limits for infinite series, using the Cauchy condition to examine what convergence claims do—and do not—establish.
- YouTube
- 25 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Plimpton 322 and Old Babylonian Trigonometry - History of Mathematics 34

Plimpton 322 is presented as a trigonometric table built on an older, non-angle-based approach, distinct from classical trigonometry’s astronomical origins.
- YouTube
- 36 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Arithmetic with Monopoly Money - Elementary Mathematics Explained - Lecture 33

Monopoly money connects open-number calculations with classroom arithmetic practice.
- YouTube
- 28 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Puzzles with Measurement - Elementary Mathematics Explained - Lecture 25

Use clever insights and pan-balance weighing puzzles to explore how balancing two sides connects to equations.
- YouTube
- 39 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Index Laws and Powers of 2 - Year 9 Mathematics

Using the chessboard rice story, this lesson explains why the index laws for powers of 2 work and gives practice applying them.
- YouTube
- 36 minutes
- Self-Paced
- Free Video
Insights into Mathematics
An Introduction to Measuring - Elementary Mathematics Explained 19

Explains measurement through everyday quantities and the making and use of rulers to measure length.
- YouTube
- 31 minutes
- Self-Paced
- Free Video
Insights into Mathematics
What Is a Sequence? - Real Numbers and Limits in Mathematics

A precise mathematical definition of sequences emerges through examples from natural numbers, primes, and rationals.
- YouTube
- 27 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Addition and Number Names - Elementary Mathematics Explained

Explore addition with small numbers, then compare English number names with an alternate system and organize the results in addition tables.
- YouTube
- 36 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Laws of Arithmetic Using Geometry - Elementary Mathematics Explained - Lecture 5

See how translations and reflections in the grid plane reveal the commutative laws for addition and multiplication.
- YouTube
- 41 minutes
- Self-Paced
- Free Video
Insights into Mathematics
The Big Mathematics Divide - Between "Exact" and "Approximate" - Sociology and Pure Maths

An examination of how the boundary between exact and approximate mathematics shapes pure mathematics, from arithmetic and topology to the Riemann Hypothesis.
- YouTube
- 41 minutes
- Self-Paced
- Free Video
Insights into Mathematics
Is Pure Mathematics Logically Viable? Five Challenges - Sociology and Pure Maths

Five challenges question the logical foundations and professional assumptions of pure mathematics.
- YouTube
- 22 minutes
- Self-Paced
- Free Video

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