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For ages 10 and older. Since the time that humans first developed a written language, they have recorded their thoughts, questions, and discoveries with pictures and words. In this activity, you will document your own process of discovery as you investigate a mathematics or science problem that interests you. You will need
What to do 1. Select a math or science question or problem that interests you. It could be as simple as "How do I find the area of a circle?" or "Why is the sky blue?" or as complex as "Can I build a device that automatically toasts bread in the morning so that it's ready just as I want breakfast?" 2. Record your question or problem in your journal. 3. Record the thoughts you have and the actions you take as you try to answer the question or problem. Include the answers to such questions as:
4. Be sure to date each entry. In addition to your own thoughts, you might also consider including any of the following:
On Giants' Shoulders: Great Scientists and Their Discoveries from
Archimedes to DNA.
Reinvent the Wheel: Make Classic Inventions, Discover Your
Problem-Solving Genius, and Take the Inventor's Challenge.
The Write Site
One of the reasons that historians and mathematicians are interested
in the Archimedes' Palimpsest is that it contains the only known
copy of Archimedes' work The Method. The Method is written as
a letter from Archimedes to his colleague Eratosthenes. Archimedes
explains how he discovered his theorems on volumes, especially the
volume of the sphere. It is interesting to note that the technique
Archimedes describes in the manuscript is different from the final
proof that he published. In short, The Method, like all good
journals, gives us a glimpse of the mind of a great mathematician
and insight into the process of discovery.
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