The complete lecture itself teaches how to improve your mental calculation skills, and is very clearly taught. These videos also came with audio tapes and a workbook, which are referred to in the videos. It's not hard to make up your own sample problems, however.

The above video is only the first of 11 parts. Here's an index for the complete set of Mathemagic video clips:

Part 1: Introduction, Adding 2- and 3-digit numbers Part 2: Adding 2- and 3-digit numbers, Calculating tips, Subtracting 2- and 3-digit numbers Part 3: Subtracting 2- and 3-digit numbers Part 4: Subtracting 2- and 3-digit numbers, Multiplying 2- and 3-digit numbers by 1-digit numbers Part 5: Multiplying 3-digit numbers by 1-digit numbers, Percentages, Division of 2- and 3-digit numbers by 1-digit numbers Part 6: Division of 3-digit numbers by 1-digit numbers Part 7: Multiplying fractions Part 8: Multiplying, Adding and subtracting fractions, Converting fractions to decimals Part 9: Converting fractions to decimals, Estimation, Squaring Part 10: Squaring, Algebra Part 11: Algebra, Fibonacci addition trick

Towards the end, there are a few times you are referred to the workbook for a more detailed explanation. Here are some links on the web that can give you the required explanations:

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