CLOCKS

WHAT'S THIS MYSTIC NUMBER ON the BELL?

RESET TIME by clicking on the face. Watch the mystic NUMBER on the BELL. What does it represent? Which Numbers can you form (by hands), and which ones you can't? * * I learned about this problem from Ed Arnsdorf, Professor of Teachers Education Department at California State University at Sacramento, CA. Now, Change the clock' BASE from "12" to another "unusual" base. Try the same on "new-based" clocks.

ENTER A NUMBER FOR THE SOLUTION	PLAY CLOCK-GAME AT VARIOUS LEVELS	LET THE CLOCK WORK AND TICK All Possible SUMS
Some Tricks	Funny Solutions	TABLE of Possible SUMS for all Bases (to be explained)

TEACHES: SUMs OF TERMS OF ARITHMETIC PROGRESSIONS. DISCOVERs very "simple" GROUPING principles and the FUNDAMENTAL PATTERN

BACK TO MAMIKON's GAMES

....FURTHER WORK (DEVELOPMENT AND FIXING) :

TUTORIAL for DISCOVERY of the "FUNDAMENTAL PATTERN"

HINTS:

1. Always Start trying with small numbers, or clock-base, to easier discover the patterns

2. In the Game the Level suggests how many ciphers are hugged by the hands

3. If the Level shows in white take simple sequence, if blue - include Base digit

4. Average is a good method: try only integer or half integer Averages

5. If simple Average does not work, consecutively subtract 12 (base) and try again Average method

EXERCISES:

6. Can you create the mystic sum "666" (1+...+36, take 36-base clock)

Check all details in samples and