Whatever you do, do it with purpose. Being focused is not something to be ashamed of. It is something to be proud of. When you know what are you are doing and have a clear vision of where you are going, you will not need to chase opportunities. Opportunities will seek you. Happiness will chase you. And, instead of being a choice, you will be the one choosing.
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In the ill-judged execution of the well-judged plan of things the call seldom produces the comer, the man to love rarely coincides with the hour for loving. Nature does not often say 'See!' to her poor creature at a time when seeing can lead to happy doing; or reply 'Here!' to a body's cry of 'Where?' till the hide-and-seek has become an irksome outworn game.
A “rich environment” is a combination platter of novelty, unpredictability, and complexity — three elements that catch and hold our attention much like risk. Novelty means both danger and opportunity. To our forbearers, a strange scent in the wind could be prey or predator, but either way it paid to pay attention. Unpredictability means we don’t know what happens next, thus we pay extra attention to what happens next. Complexity, when there’s lots of salient information coming at us at once, does more of the same.
One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.