Reflection
Mathematics is highly relied upon by problem solving, this is because oftentimes there are problems we face that we must solve unconventionally. By using problem solving techniques we can begin to broaden our minds and direct our efforts towards real life problems and solve them similarly to how we would solve mathematics problems.
One of my favorite problem solving problems is as follows:
You have ten cans of peas. The cans are open. In each can there are 100 peas. In the tenth can, each pea weighs only .9 grams. You do not know which can has the lighter peas, nor is it possible to tell with the naked eye. To help you, you have a electronic scale, however, the scale is not in great shape and you can only use it once to determine the correct measurement. Can you determine which can has the smaller peas?
You have ten cans of peas. The cans are open. In each can there are 100 peas. In the tenth can, each pea weighs only .9 grams. You do not know which can has the lighter peas, nor is it possible to tell with the naked eye. To help you, you have a electronic scale, however, the scale is not in great shape and you can only use it once to determine the correct measurement. Can you determine which can has the smaller peas?