21
" Teachers greatly influence how students perceive and approach struggle in the mathematics classroom. Even young students can learn to value struggle as an expected and natural part of learning, as demonstrated by the class motto of one first-grade math class: If you are not struggling, you are not learning. Teachers must accept that struggle is important to students' learning of mathematics, convey this message to students, and provide time for them to try to work through their uncertainties. Unfortunately, this may not be enough, since some students will still simply shut down in the face of frustration, proclaim, 'I don't know,' and give up. Dweck (2006) has shown that students with a fixed mindset--that is, those who believe that intelligence (especially math ability) is an innate trait--are more likely to give up when they encounter difficulties because they believe that learning mathematics should come naturally. By contrast, students with a growth mindset--that is, those who believe that intelligence can be developed through effort--are likely to persevere through a struggle because they see challenging work as an opportunity to learn and grow. "
23
" If music serves to convey feelings through the interaction of physical gestures and sound, the musician needs his brain state to match the emotional state he is trying to express. Although the studies haven't been performed yet, I'm willing to bet that when B.B. King is playing the blues and when he is feeling the blues, the neural signatures are very similar. (Of course there will be differences, too, and part of the scientific hurdle will be subtracting out the processes involved in issuing motor commands and listening to music, versus just sitting on a chair, head in hands, and feeling down.) And as listeners, there is every reason to believe that some of our brain states will match those of the musicians we are listening to. "
― , This Is Your Brain on Music: The Science of a Human Obsession
34
" What did we talk about?I don't remember. We talked so hard and sat so still that I got cramps in my knee. We had too many cups of tea and then didn't want to leave the table to go to the bathroom because we didn't want to stop talking. You will think we talked of revolution but we didn't. Nor did we talk of our own souls. Nor of sewing. Nor of babies. Nor of departmental intrigue. It was political if by politics you mean the laboratory talk that characters in bad movies are perpetually trying to convey (unsuccessfully) when they Wrinkle Their Wee Brows and say (valiantly--dutifully--after all, they didn't write it) " But, Doctor, doesn't that violate Finagle's Constant?" I staggered to the bathroom, released floods of tea, and returned to the kitchen to talk. It was professional talk. It left my grey-faced and with such concentration that I began to develop a headache. We talked about Mary Ann Evans' loss of faith, about Emily Brontë's isolation, about Charlotte Brontë's blinding cloud, about the split in Virginia Woolf's head and the split in her economic condition. We talked about Lady Murasaki, who wrote in a form that no respectable man would touch, Hroswit, a little name whose plays " may perhaps amuse myself," Miss Austen, who had no more expression in society than a firescreen or a poker. They did not all write letters, write memoirs, or go on the stage. Sappho--only an ambiguous, somewhat disagreeable name. Corinna? The teacher of Pindar. Olive Schriener, growing up on the veldt, wrote on book, married happily, and ever wrote another. Kate Chopin wrote a scandalous book and never wrote another. (Jean has written nothing.). There was M-ry Sh-ll-y who wrote you know what and Ch-rl-tt- P-rk-ns G-lm-an, who wrote one superb horror study and lots of sludge (was it sludge?) and Ph-ll-s Wh--tl-y who was black and wrote eighteenth century odes (but it was the eighteenth century) and Mrs. -nn R-dcl-ff- S-thw-rth and Mrs. G--rg- Sh-ld-n and (Miss?) G--rg-tt- H-y-r and B-rb-r- C-rtl-nd and the legion of those, who writing, write not, like the dead Miss B--l-y of the poem who was seduced into bad practices (fudging her endings) and hanged herself in her garter. The sun was going down. I was blind and stiff. It's at this point that the computer (which has run amok and eaten Los Angeles) is defeated by some scientifically transcendent version of pulling the plug; the furniture stood around unknowing (though we had just pulled out the plug) and Lady, who got restless when people talked at suck length because she couldn't understand it, stuck her head out from under the couch, looking for things to herd. We had talked for six hours, from one in the afternoon until seven; I had at that moment an impression of our act of creation so strong, so sharp, so extraordinarily vivid, that I could not believe all our talking hadn't led to something more tangible--mightn't you expect at least a little blue pyramid sitting in the middle of the floor? "
36
" I am not a good enough writer to convey the intense emotion I felt over my newfound self-respect. It was a rehabilitation, if not a new life. This imaginary baptism, the immersion in purity, the elevation of my being above the filth in which I'd been mired and, overnight, this sense of responsibility, made me into a different man. The convict's complexes that make him hear his chains and suspect he's being watched even after he's freed, everything I'd seen, gone through, suffered, everything that was making me tarnished, rotten and dangerous, passively obedient on the surface but terribly dangerous in rebellion, all that had disappeared as if by a miracle. "
― Henri Charrière , Papillon