TED-Ed: How high can you count on your fingers? (Spoiler: much higher than 10) - James Tanton

The video explores various methods of counting using fingers, starting with traditional methods and advancing to more complex systems like positional notation and binary counting. It demonstrates how fingers can be used to count beyond ten by utilizing sections and different states, such as up, down, and half-bent. The video also highlights the efficiency of binary counting, which is the basis for computer operations, and introduces the concept of base-three counting for those with more dexterous fingers.

How many fingers do most people have, and how does this relate to counting?

Explain how one can count to twelve using just one hand.

What is positional notation, and how does it help in counting?

Describe how binary counting works using fingers.

What is the maximum number you can count to using all ten fingers in binary?