Geometry of Triangles!

1. What the author means by "the playful side of arithmetic" i think is your imagination, and your curiosity about arithmetic. How you experiment, and learn about it.
2. The Latin meaning of the work calculus is "pebble." It derives from the ancient use of pebbles as counters on counting tables. It relates to the article by the examples of rocks the article has in it. The article has examples trying to explain things by using rocks. (pebbles)
3. All the different ways you can sum the numbers 1-55 without actually adding the numbers: by sorting the odd color pebbles (black) from the positive color pebbles (white) into rows and colums. Then multiple the number of rows by colums.

inductive and deductive reasoning, and why we need them!

Deductive reasoning uses facts, rules, and definations. Inductive reasoning uses numbers of specific examples to arrive at a plasusible generalization or prediction. Why I think we need both is, because deductive reasoning is knowing facts and rules. We need to know facts and rules to learn. We need inductive reasoning, because if we use numbers or detailed examples to learn specifically what things are.

Tumbling! :D

I enjoy tumbling, so I guess you could say it's my passion. I've gone to tumbling since i was in 6th grade, and loved it.  I like to go, because when you're in the gym doing nothing but focusing on gymnastics. It kind of like you're releaving stress by streching, and doing diffucult tricks, because you have to concentrate nothing but the tricks you are doing, or you'll mess up. I love it! :)