Multiplying Whole Numbers, Part 1: Arrays
This clip explains that one way to look at multiplication is through a pattern of columns and rows known as an array.
Naming Whole Numbers: Separating Large Numbers Into Periods
This clip explains the use of commas to organize the digits within a number into groups or periods.
Multiplying Whole Numbers, Part 2: Memorizing the Multiplication Facts With Tables
This clip advises that, even with the full multiplication table filled in, the real work is just beginning, because it's necessary to commit the multiplication facts to memory. The clip then provides strategies for how to approach this task, suggest...
Multiplying Whole Numbers, Part 3: Multiplying a Larger Number by a Single-Digit Number
This clip presents a simple multiplication problem in which a three-digit number is multiplied by a one-digit number. The clip explains that multiplication is essentially a shortcut for what would otherwise be a very laborious addition problem, then...
Does All Knowledge Come from Experience?: Hume and Causal Relationships
Consider the motion of billiard balls on a table. Can reason analyze how they will move a priori without previous experience as rationalists contend? Hume insists that the only way we know about patterns like cause and effect is by seeing certain ev...