ื ืกืขืœืขืงืฆื™ืข ืคื•ืŸ โ€‹โ€‹ื‘ื™ื›ืขืจ ื•ื•ืขื’ืŸ ื•ื•ื™ ืฆื• ืœืขืจื ืขืŸ, ื˜ืจืึทื›ื˜ืŸ ืื•ืŸ ืžืึทื›ืŸ ืขืคืขืงื˜ื™ื•ื• ื“ื™ืกื™ื–ืฉืึทื ื–

ืื™ืŸ ืื•ื ื“ื–ืขืจ ื‘ืœืึธื’ ืื•ื™ืฃ Habrรฉ, ืžื™ืจ ืึทืจื•ื™ืกื’ืขื‘ืŸ ื ื™ื˜ ื‘ืœื•ื™ื– ืžืขืฉื™ื•ืช ื•ื•ืขื’ืŸ ื“ื™ื•ื•ืขืœืึทืคึผืžืึทื ืฅ ืงื”ืœ ืคื•ืŸ ITMO ืื•ื ื™ื•ื•ืขืจืกื™ื˜ืขื˜, ืึธื‘ืขืจ ืื•ื™ืš ืคืึธื˜ืึธ ื™ืงืกืงืขืจื–ืฉืึทื ื– - ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ืœื•ื™ื˜ ืื•ื ื“ื–ืขืจ ืจืึธื•ื‘ืึทื˜ื™ืงืก ืœืึทื‘ืึธืจืึทื˜ืึธืจื™ืขืก, ืœืึทื‘ืึธืจืึทื˜ืึธืจื™ืข ืคื•ืŸ โ€‹โ€‹ืกื™ื™ื‘ืขืจ ืคื™ื–ื™ืงืึทืœ ืกื™ืกื˜ืขืžืขืŸ ะธ DIY coworking Fablab.

ื”ื™ื™ึทื ื˜ ืžื™ืจ ื”ืึธื‘ืŸ ืฆื•ื ื•ื™ืคื’ืขืฉื˜ืขืœื˜ ืึท ืกืขืœืขืงืฆื™ืข ืคื•ืŸ โ€‹โ€‹ื‘ื™ื›ืขืจ ื•ื•ืึธืก ื•ื ื˜ืขืจื–ื•ื›ืŸ ืึทืคึผืขืจื˜ื•ื ืึทื˜ื™ื– ืคึฟืึทืจ ื™ืžืคึผืจื•ื•ื•ื™ื ื’ ืึทืจื‘ืขื˜ ืื•ืŸ ืœืขืจื ืขืŸ ืขืคืขืงื˜ื™ื•ื•ืงื™ื™ึทื˜ ืคื•ืŸ ื“ื™ ืคื•ื ื˜ ืคื•ืŸ ืžื™ื™ื ื•ื ื’ ืคื•ืŸ ื˜ืจืื›ื˜ืŸ ืคึผืึทื˜ืขืจื ื–.

ื ืกืขืœืขืงืฆื™ืข ืคื•ืŸ โ€‹โ€‹ื‘ื™ื›ืขืจ ื•ื•ืขื’ืŸ ื•ื•ื™ ืฆื• ืœืขืจื ืขืŸ, ื˜ืจืึทื›ื˜ืŸ ืื•ืŸ ืžืึทื›ืŸ ืขืคืขืงื˜ื™ื•ื• ื“ื™ืกื™ื–ืฉืึทื ื–
ืžื™ื™ื ื•ื ื’: g_u /ืคืœื™ืงืจ/ CC BY-SA

ื’ืขื•ื•ื•ื™ื ื”ื™ื™ื˜ืŸ ืคื•ืŸ ื’ืขื“ืึทื ืง

ืคืืจื•ื•ืืก ืงืœื•ื’ ืžืขื ื˜ืฉืŸ ืงืขื ืขืŸ ื–ื™ื™ืŸ ืึทื–ื•ื™ ื ืึทืจื™ืฉ

Robert Sternberg (Yale University Press, 2002)

ืงืœื•ื’ืข ืžืขื ื˜ืฉืŸ ืžืื›ืŸ ืืžืืœ ื–ื™ื™ืขืจ ื ืืจื™ืฉืข ื˜ืขื•ืชื™ื. ื“ื™ ื•ื•ืึธืก ื’ืœื™ื™ื‘ืŸ ื‘ืœื™ื ื“ ืื™ืŸ ื–ื™ื™ืขืจ ืงืึทืžืคึผืึทื˜ื™ื ืก ืึธืคื˜ ืคืึทืœืŸ ืื™ืŸ ื‘ืœื™ื ื“ ืกืคึผืึทืฅ ื•ื•ืึธืก ื–ื™ื™ ื–ื™ืš ื ื™ืฉื˜ ื•ื•ื™ืกื ื“ื™ืง ืคื•ืŸ. ื“ื™ ืžืืžืจื™ื ืื™ืŸ ื“ืขื ื‘ื•ืš ื•ื ื˜ืขืจื–ื•ื›ืŸ ื“ื™ ืฉืœืขื›ื˜ ื’ืขื•ื•ื•ื™ื ื”ื™ื™ื˜ืŸ ืคื•ืŸ ืื™ื ื˜ืขืœื™ื’ืขื ื˜ืŸ, ืคึฟื•ืŸ ืื™ื’ื ืึธืจื™ืจืŸ ืงืœืึธืจ ื•ื•ื™ ื“ืขืจ ื˜ืึธื’ ืกื™ื‘ื”-ืื•ืŸ-ื•ื•ื™ืจืงื•ื ื’ ื‘ืืฆื™ื•ื ื’ืขืŸ ืฆื• ื“ื™ ื˜ืขื ื“ืขื ืฅ ืฆื• ืึธื•ื•ื•ืขืจืขืกื˜ืึทืžื™ื™ื˜ ื–ื™ื™ืขืจ ืื™ื™ื’ืขื ืข ื“ืขืจืคืึทืจื•ื ื’. ื“ืขืจ ื‘ื•ืš ื•ื•ืขื˜ ื”ืขืœืคึฟืŸ ืื™ืจ ื˜ืจืึทื›ื˜ืŸ ืžืขืจ ืงืจื™ื˜ื™ืฉ ื•ื•ืขื’ืŸ ื“ื™ ื•ื•ืขื’ ืžื™ืจ ื˜ืจืึทื›ื˜ืŸ, ืœืขืจื ืขืŸ ืื•ืŸ ืึทืจื‘ืขื˜.

ื•ื•ื™ ืงื™ื ื“ืขืจ ืคืึทืจืœืึธื–ืŸ

John Holt (1964, Pitman Publishing Corp.)

ืืžืขืจื™ืงืื ืขืจ ืขื“ื–ืฉืึทืงื™ื™ื˜ืขืจ ื™ื•ื—ื ืŸ ื”ืึธืœื˜ ืื™ื– ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ืžืขืจืกื˜ ื‘ืึทื•ื•ื•ืกื˜ ืงืจื™ื˜ื™ืงืก ืคื•ืŸ ื’ืขื’ืจื™ื ื“ืขื˜ ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื– ืกื™ืกื˜ืขืžืขืŸ. ื“ืึธืก ื‘ื•ืš ืื™ื– ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื–ื™ื™ืŸ ื“ืขืจืคืึทืจื•ื ื’ ื•ื•ื™ ืึท ืœืขืจืขืจ ืื•ืŸ ื–ื™ื™ืŸ ืึทื‘ื–ืขืจื•ื•ื™ื™ืฉืึทื ื– ืคื•ืŸ ื•ื•ื™ ืคื™ื ืคื˜ ื’ืจื™ื™ื“ืขืจื– ื“ืขืจืคืึทืจื•ื ื’ ืœืขืจื ืขืŸ ื“ื•ืจื›ืคืึทืœ. ื“ื™ ืงืึทืคึผื™ื˜ืœืขืŸ ื“ืขืจืžืึธื ืขืŸ ื˜ืึธื’ื‘ื•ืš ืึทืจื˜ื™ืงืœืขืŸ - ื–ื™ื™ ื“ืจื™ื™ืขืŸ ืึทืจื•ื ืกื™ื˜ื•ืึทื˜ื™ืึธื ืก ื•ื•ืึธืก ื“ืขืจ ืžื—ื‘ืจ ืึทื ืึทืœื™ื–ื™ืจื˜ ื‘ื™ืกืœืขื›ื•ื•ื™ื™ึทื–. ืึธืคึผื’ืขื”ื™ื˜ ืœื™ื™ืขื ืขืŸ ื•ื•ืขื˜ ืœืึธื–ืŸ ืื™ืจ ืฆื• ื™ื‘ืขืจืงืœืขืจืŸ ื“ื™ื™ืŸ ืื™ื™ื’ืขื ืข ื™ืงืกืคึผื™ืจื™ืึทื ืกื™ื– ืื•ืŸ ืคึฟืึทืจืฉื˜ื™ื™ืŸ ื•ื•ืึธืก "ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื–" ื’ืขื•ื•ื•ื™ื ื”ื™ื™ื˜ืŸ ื”ืึธื‘ืŸ ืฉื•ื™ืŸ ื™ื ื’ืจื™ื™ื ื“ ืื™ืŸ ืื™ืจ ื–ื™ื ื˜ ืงื™ื ื“ืฉืึทืคื˜. ื“ืึธืก ื‘ื•ืš ืื™ื– ืึทืจื•ื™ืก ืื™ืŸ ืจื•ืกื™ืฉ ืื™ืŸ ื“ื™ 90ืขืจ ื™ืึธืจืŸ, ืึธื‘ืขืจ ืื™ื– ื–ื™ื ื˜ ื“ืขืžืึธืœื˜ ืึทืจื•ื™ืก ืคึฟื•ืŸ ื“ืจื•ืง.

ืœืขืจื ืขืŸ ื•ื•ื™ ืึท ืกืึทื‘ื•ื•ืขืจืกื™ื•ื• ื˜ืขื˜ื™ืงื™ื™ื˜

Neil Postman & Charles Weingartner (Delacorte Press, 1969)

ืœื•ื™ื˜ ื“ื™ ืžื—ื‘ืจื™ื, ื‘ืœืฒึทื‘ืŸ ืึท ืฆืึธืœ ืžืขื ื˜ืฉืœืขื›ืข ืคึผืจืึธื‘ืœืขืžืขืŸ โ€” ื•ื•ื™ ื’ืœืึธื‘ืึทืœืข ื•ื•ืึทืจืขืžื•ื ื’, ืกืึธืฆื™ืึทืœืข ืื•ืžื’ืœืฒึทื›ืงื™ื™ื˜ ืื•ืŸ ื“ื™ ืขืคึผื™ื“ืขืžื™ืข ืคึฟื•ืŸ ื’ืฒึทืกื˜ื™ืงืข ืงืจืึทื ืงื™ื™ื˜ืŸ โ€” ื ื™ื˜ ืื•ื™ืกื’ืขืœื™ื™ื–ื˜, ืฆื•ืœื™ื‘ ื“ืขื ืฆื•ื’ืึทื ื’ ืฆื• ื“ืขืจืฆื™ึดื•ื ื’, ื•ื•ืึธืก ืื™ื– ื’ืขื•ื•ืขืŸ ืื™ื™ื ื’ืขื‘ื•ื™ื’ืŸ ืื™ืŸ ืื•ื ื“ื– ื•ื•ื™ ืงื™ื ื“ืขืจ. ืื™ืŸ ืกื“ืจ ืฆื• ืคื™ืจืŸ ืึท ืžื™ื ื™ื ื’ืคืึทืœ ืœืขื‘ืŸ ืื•ืŸ ืึทืงื˜ื™ื•ื•ืœื™ ื˜ื•ื™ืฉืŸ ื“ื™ ื•ื•ืขืœื˜ ืคึฟืึทืจ ื“ื™ ื‘ืขืกืขืจ, ื“ืขืจ ืขืจืฉื˜ืขืจ ืฉืจื™ื˜ ืื™ื– ืฆื• ื˜ื•ื™ืฉืŸ ื“ื™ื™ืŸ ืฉื˜ืขืœื•ื ื’ ืฆื• ื•ื•ื™ืกืŸ ื•ื•ื™ ืึทื–ืึท ืื•ืŸ ื“ืขื ืคึผืจืึธืฆืขืก ืคื•ืŸ ืึทืงื•ื•ื™ื™ืจื™ื ื’ ืขืก. ื“ื™ ืžื—ื‘ืจื™ื ื˜ืขื ื”ืŸ ืคึฟืึทืจ ืงืจื™ื˜ื™ืฉ ื˜ืจืื›ื˜ืŸ ืื•ืŸ ืึธืจื’ืึทื ื™ื™ื–ื™ื ื’ ื“ื™ ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื– ืคึผืจืึธืฆืขืก ืึทืจื•ื ืคึฟืจืื’ืŸ ืืœื ื•ื•ื™ ืขื ื˜ืคึฟืขืจืก.

ืœืขืจื ืขืŸ ืฆื• ืœืขืจื ืขืŸ

ืžืึทื›ืŸ ืขืก ืฉื˜ืขืงืŸ: ื“ื™ ื•ื•ื™ืกื ืฉืึทืคึฟื˜ ืคื•ืŸ ื’ืขืจืึธื˜ืŸ ืœืขืจื ืขืŸ

Peter C. Brown, Henry L. Roediger III, Mark A. McDaniel (2014)

ืื™ืŸ ื“ืขื ื‘ื•ืš ืื™ืจ ื•ื•ืขื˜ ื’ืขืคึฟื™ื ืขืŸ ื‘ื™ื™ื“ืข ืึท ื‘ืึทืฉืจื™ื™ึทื‘ื•ื ื’ ืคื•ืŸ ื“ื™ ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื– ืคึผืจืึธืฆืขืก ืคึฟื•ืŸ ืึท ืคืกื™ื›ืืœืื’ื™ืฉืŸ ืคื•ื ื˜ ืคื•ืŸ ืžื™ื™ื ื•ื ื’ ืื•ืŸ ืคึผืจืึทืงื˜ื™ืฉ ืขืฆื•ืช ืคึฟืึทืจ ืึธืคึผื˜ื™ืžื™ื–ื™ื ื’ ืขืก. ืกืคึผืขืฆื™ืขืœืข ื•ืคืžืขืจืงื–ืึทืžืงื™ื™ึทื˜ ืื™ื– ื‘ืึทืฆืึธืœื˜ ืฆื• ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื– ืกื˜ืจืึทื˜ืขื’ื™ืขืก ื•ื•ืึธืก ื˜ืึธืŸ ื ื™ื˜ ืึทืจื‘ืขื˜ ืื™ืŸ ืคื™ืจ. ื“ื™ ืžื—ื‘ืจื™ื ื•ื•ืขืœืŸ ื“ืขืจืงืœืขืจืŸ ื•ื•ืึธืก ื“ืึธืก ื›ืึทืคึผืึทื ื– ืื•ืŸ ื–ืึธื’ืŸ ืื™ืจ ื•ื•ืึธืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ื’ืขื˜ืืŸ ื•ื•ืขื’ืŸ ืื™ื. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ื–ื™ื™ ื˜ืขื ื”ืŸ ืึทื– ืึทื“ืึทืคึผื˜ื™ื ื’ ืฆื• ืึท ืชึผืœืžื™ื“ ืก ื‘ื™ืœื“ื•ื ื’ืงืจื™ื™ื– ืคึผืจืขืคึฟืขืจืขื ืฆืŸ ืื™ื– ืึทืจื•ื™ืกื’ืขื•ื•ืึธืจืคืŸ. ืคืึธืจืฉื•ื ื’ ื–ืื’ื˜ ืึทื– ืคึผืจื™ื“ื™ืกืคึผืึทื–ื™ืฉืึทืŸ ืฆื• ื–ื™ื›ืขืจ ืœืขืจื ืขืŸ ืžืขื˜ื”ืึธื“ืก ื˜ื•ื˜ ื ื™ืฉื˜ ื•ื•ื™ืจืงืŸ ื“ื™ ื™ืคืขืงื˜ื™ื•ื•ื ืึทืก ืคื•ืŸ ืœืขืจื ืขืŸ.

ืœื•ื™ืคืŸ: ื“ื™ ืคึผืกื™ื˜ืฉืึธืœืึธื’ื™ ืคื•ืŸ ืึธืคึผื˜ื™ืžืึทืœ ื“ืขืจืคืึทืจื•ื ื’

Mihaly Cziksentmihalyi (Harper, 1990)

ื“ื™ ืžืขืจืกื˜ ื‘ืึทืจื™ืžื˜ ื•ื•ืขืจืง ืคื•ืŸ ืกื™ื™ืงืึทืœืึทื“ื–ืฉืึทืกื˜ Mihaly Csikszentmihalyi. ืื™ืŸ ื“ืขืจ ืฆืขื ื˜ืขืจ ืคื•ืŸ ื“ืขื ื‘ื•ืš ืื™ื– ื“ืขืจ ื‘ืึทื’ืจื™ืฃ ืคื•ืŸ "ืœื•ื™ืคืŸ." ื“ืขืจ ืžื—ื‘ืจ ืึทืฉื•ืจื– ืึทื– ื“ื™ ืคื™ื™ื™ืงื™ื™ึทื˜ ืฆื• ืงืขืกื™ื™ื“ืขืจ "ืคืึทืจื‘ื™ื ื“ืŸ ื“ื™ ืœื•ื™ืคืŸ" ืžืื›ื˜ ืžืขื ื˜ืฉ ืœืขื‘ืŸ ืžืขืจ ืžื™ื ื™ื ื’ืคืึทืœ, ืฆื•ืคืจื™ื“ืŸ ืื•ืŸ ืคึผืจืึธื“ื•ืงื˜ื™ื•ื•. ื“ืขืจ ื‘ื•ืš ืจืขื“ื˜ ื•ื•ืขื’ืŸ ื•ื•ื™ ื˜ืจืขื’ืขืจืก ืคื•ืŸ ืคืึทืจืฉื™ื“ืขื ืข ืคึผืจืึทืคืขืฉืึทื ื– - ืคื•ืŸ ืžื™ื•ื–ื™ืฉืึทื ื– ืฆื• ื‘ืึทืจื’ ืงืœื™ื™ืžืขืจื– - ื’ืขืคึฟื™ื ืขืŸ ื“ืขื ืฉื˜ืึทื˜, ืื•ืŸ ื•ื•ืึธืก ืื™ืจ ืงืขื ืขืŸ ืœืขืจื ืขืŸ ืคื•ืŸ ื–ื™ื™. ื“ื™ ื•ื•ืขืจืง ืื™ื– ื’ืขืฉืจื™ื‘ืŸ ืื™ืŸ ืึท ืฆื•ื˜ืจื™ื˜ืœืขืš ืื•ืŸ ืคืึธืœืงืก ืฉืคึผืจืึทืš - ื ืขืขื ื˜ืขืจ ืฆื• ื“ืขืจ ืœื™ื˜ืขืจืึทื˜ื•ืจ ืคื•ืŸ ื“ื™ "ื–ื™ืš-ื”ื™ืœืฃ" ื–ืฉืึทื ืจืึท. ื“ืึธืก ื™ืึธืจ ืื™ื– ื“ืึธืก ื‘ื•ืš ื•ื•ื™ื“ืขืจ ืคึฟืึทืจืขืคึฟื ื˜ืœืขื›ื˜ ื’ืขื•ื•ืึธืจืŸ ืื•ื™ืฃ ืจื•ืกื™ืฉ.

ื•ื•ื™ ืฆื• ืกืึธืœื•ื•ืข ืขืก: ืึท ื ื™ื™ึทืข ืึทืกืคึผืขืงื˜ ืคื•ืŸ ืžืึทื˜ืึทืžืึทื˜ื™ืงืึทืœ ืžืขื˜ืึทื“

ื“ื–ืฉืืจื–ืฉ ืคึผืึธืœื™ืึท (ืคึผืจื™ื ืกื˜ืึทืŸ ืื•ื ื™ื•ื•ืขืจืกื™ื˜ืขื˜ ืคืจืขืกืข, 1945)

ื“ื™ ืงืœืึทืกื™ืฉืข ื•ื•ืขืจืง ืคื•ืŸ ื“ืขื ืื•ื ื’ืึทืจื™ืฉืŸ ืžืื˜ืขืžืื˜ื™ืงืขืจ ื’ื™ื•ืจื’ื™ ืคึผืึธืœื™ืึท ืื™ื– ืึทืŸ ื”ืงื“ืžื” ืฆื• ืืจื‘ืขื˜ืŸ ืžื™ื˜ ื“ืขื ืžืึทื˜ืึทืžืึทื˜ื™ืฉืŸ ืžืขื˜ืึธื“. ื›ึผื•ืœืœ ืึท ื ื•ืžืขืจ ืคื•ืŸ ื’ืขื•ื•ืขื ื“ื˜ ื˜ืขืงื ื™ืงืก ื•ื•ืึธืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ื’ืขื•ื•ื™ื™ื ื˜ ืฆื• ืกืึธืœื•ื•ืข ื‘ื™ื™ื“ืข ืžืึทื˜ืึทืžืึทื˜ื™ืงืึทืœ ืคึผืจืึธื‘ืœืขืžืก ืื•ืŸ ืื ื“ืขืจืข ื˜ื™ื™ืคึผืก ืคื•ืŸ ืคึผืจืึธื‘ืœืขืžืก. ื ื•ื•ืขืจื˜ืคื•ืœ ืžื™ื˜ืœ ืคึฟืึทืจ ื“ื™ ื•ื•ืืก ื•ื•ื™ืœืŸ ืฆื• ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ื“ื™ ืื™ื ื˜ืขืœืขืงื˜ื•ืึทืœ ื“ื™ืกืฆื™ืคึผืœื™ืŸ ื ื™ื™ื˜ื™ืง ืฆื• ืœืขืจื ืขืŸ ื“ื™ ืกืกื™ืขื ืกืขืก. ืื™ืŸ ืกืื•ื•ืขื˜ืŸ ืคืืจื‘ืื ื“ ืื™ื– ื“ืืก ื‘ื•ืš ืืจื•ื™ืก ืื™ืŸ 1959 ืื•ื ื˜ืขืจืŸ ื˜ื™ื˜ืœ "ื•ื•ื™ ืื–ื•ื™ ืœื™ื™ื–ืŸ ื ืคืจืื‘ืœืขื".

ื˜ืจืึทื›ื˜ืŸ ื•ื•ื™ ืึท ืžืึทื˜ืขืžืึทื˜ื™ืงืขืจ: ื•ื•ื™ ืฆื• ืกืึธืœื•ื•ืข ืงื™ื™ืŸ ืคึผืจืึธื‘ืœืขื ืคืึทืกื˜ืขืจ ืื•ืŸ ืžืขืจ ื™ืคื™ืฉืึทื ื˜ืœื™

Barbara Oakley (TarcherPerigee; 2014)

ื ื™ื˜ ืึทืœืข ืžืขื ื˜ืฉืŸ ื•ื•ื™ืœืŸ ืฆื• ืœืขืจื ืขืŸ ืคึผื™ื ื˜ืœืขืš ื•ื•ื™ืกื ืฉืืคื˜ืŸ, ืึธื‘ืขืจ ื“ืึธืก ื˜ื•ื˜ ื ื™ืฉื˜ ืžื™ื™ื ืขืŸ ืึทื– ื–ื™ื™ ื”ืึธื‘ืŸ ื’ืึธืจื ื™ืฉื˜ ืฆื• ืœืขืจื ืขืŸ ืคื•ืŸ ืžืื˜ืขืžืื˜ื™ืงืขืจ. ื‘ืึทืจื‘ืึทืจืึท ืึธืงืœื™, ืึท ืคึผืจืึธืคืขืกืึธืจ ืื™ืŸ ืึธื•ืงืœืึทื ื“ ืื•ื ื™ื•ื•ืขืจืกื™ื˜ืขื˜, ื™ื ื–ืฉืขื ื™ืจ, ืคื™ืœืึธืœืึธื’ื™ืกื˜ ืื•ืŸ ืื™ื‘ืขืจื–ืขืฆืขืจื™ืŸ, ืžื™ื™ื ื˜ ืึทื–ื•ื™. Think Like a Mathematician ื™ื’ื–ืึทืžืึทื ื“ ื“ื™ ืึทืจื‘ืขื˜ ืคึผืจืึทืกืขืกืึทื– ืคื•ืŸ STEM ืคึผืจืึธืคืขืกืกื™ืึธื ืึทืœืก ืื•ืŸ ืฉืึทืจืขืก ืžื™ื˜ ืœื™ื™ืขื ืขืจ ื“ื™ ืฉืœื™ืกืœ ืœืขืงืฆื™ืขืก ื–ื™ื™ ืงืขื ืขืŸ ื ืขืžืขืŸ ืึทื•ื•ืขืง ืคื•ืŸ ื–ื™ื™. ืžื™ืจ ื•ื•ืขืœืŸ ืจืขื“ืŸ ื•ื•ืขื’ืŸ ืžืึทืกื˜ืขืจื™ื ื’ ืžืึทื˜ืขืจื™ืึทืœ ืึธืŸ ืงืจืึทืžื™ื ื’, ื–ื›ึผืจื•ืŸ - ืงื•ืจืฅ-ื˜ืขืจืžื™ืŸ ืื•ืŸ ืœืึทื ื’-ื˜ืขืจืžื™ืŸ, ื“ื™ ืคื™ื™ื™ืงื™ื™ื˜ ืฆื• ืฆื•ืจื™ืงืงืจื™ื’ืŸ ืคื•ืŸ ืคื™ื™ืœื™ืขืจื– ืื•ืŸ ื“ื™ ืงืึทืžืฃ ืงืขื’ืŸ ืคึผืจืึทืงืจืึทืกื˜ืึทื ื™ื™ืฉืึทืŸ.

ืœืขืจื ืขืŸ ืฆื• ื˜ืจืึทื›ื˜ืŸ

ืžืขื˜ืึทืžืึทื’ื™ืงืึทืœ ื˜ื”ืขืžืึทืก: ื–ื•ื›ืŸ ืคึฟืึทืจ ื“ื™ ืขืกืึทื ืก ืคื•ืŸ ืžื™ื™ื ื•ื ื’ ืื•ืŸ ืžื•ืกื˜ืขืจ

ื“ืึธื•ื’ืœืึทืก ื”ืึธืคืฉื˜ืึทื“ื˜ืขืจ (ื‘ืึทืกื™ืง ื‘ื™ื›ืขืจ, 1985)

ื‘ืืœื“ ื ืึธืš ืงืึทื’ื ื™ื˜ื™ื•ื• ื’ืขืœืขืจื ื˜ืขืจ ืื•ืŸ ืคึผื•ืœื™ื˜ื–ืขืจ ืคืจื™ื™ื– ื’ืขื•ื•ื™ื ืขืจ ื“ืึธื•ื’ืœืึทืก ื”ืึธืคืกื˜ืึทื“ืขืจ ืก ื‘ื•ืšGรถdel, Escher, Bach"ืื™ื– ื’ืขื•ื•ืขืŸ ืคืืจืขืคื ื˜ืœืขื›ื˜, ื“ืขืจ ืฉืจื™ื™ึทื‘ืขืจ ืื ื’ืขื”ื•ื™ื‘ืŸ ืฆื• ืึทืจื•ื™ืกื’ืขื‘ืŸ ืงืขืกื™ื™ื“ืขืจ ืื™ืŸ Scientific American ื–ืฉื•ืจื ืึทืœ. ื“ ื™ ืฉืคืืœื˜ืŸ , ืฐื ื ืข ืจ ื”ื ื˜ ื’ืขืฉืจื™ื‘ ืŸ ืคื ืจ ื“ืข ื ื–ืฉื•ืจื ืืœ , ื–ืฒื ืข ืŸ ืฉืคืขื˜ืข ืจ ืฆื•ื’ืขื’ืจืฒ ื˜ ื’ืขืฐืืจ ืŸ ืžื™ ื˜ ืงืืžืขื ื˜ืืจืŸ , ืื• ืŸ ืฆื•ื–ืืžืขื ื’ืขื ื•ืžืข ืŸ ืื™ ืŸ ื ื’ืขืฐื™ื›ื˜ ืŸ ื‘ื•ืš , ืžื™ื˜ ืŸ ื ืืžืข ืŸ ืžื™ ื˜ ืžืื’ื™ืฉ ืข ื˜ืขืžืขืก . Hofstader ืจื™ืจื˜ ืื•ื™ืฃ ืึท ืคืึทืจืฉื™ื™ื“ื ืงื™ื™ึทื˜ ืคื•ืŸ ื˜ืขืžืขืก ืฉื™ื™ึทื›ื•ืช ืฆื• ื“ื™ ื ืึทื˜ื•ืจ ืคื•ืŸ ืžืขื ื˜ืฉืœืขืš ื˜ืจืื›ื˜ืŸ, ืคึฟื•ืŸ ืึธืคึผื˜ื™ืฉ ื™ืœื•ื–ืฉืึทื ื– ืื•ืŸ ื“ื™ ืžื•ื–ื™ืง ืคื•ืŸ Chopin ืฆื• ืงื™ื ืกื˜ืœืขืš ืกื™ื™ื›ืœ ืื•ืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’. ื“ื™ ื˜ืขืึธืจื™ืขืก ืคื•ืŸ ื“ืขื ืžื—ื‘ืจ ื–ืขื ืขืŸ ืื™ืœื•ืกื˜ืจื™ืจื˜ ืžื™ื˜ ื’ืขื“ืึทื ืง ื™ืงืกืคึผืขืจืึทืžืึทื ืฅ.

ืœืึทื‘ื™ืจื™ื ื˜ื”ืก ืคื•ืŸ ืกื™ื‘ื”: ืคึผืึทืจืึทื“ืึธืงืก, ืคึผืึทื–ืึทืœื–, ืื•ืŸ ื“ื™ ืฉื•ื•ืึทืš ืคื•ืŸ ื•ื•ื™ืกืŸ

ื•ื•ื™ืœื™ืื ืคึผืึธื•ื ื“ืกื˜ืึธื ืข (ืึทื ืงืขืจ ืคืจืขืกืข, 1988)

ื•ื•ืึธืก ืื™ื– "ื”ืฉื›ืœ"? ื•ื•ื™ ืื™ื– ื•ื•ื™ืกืŸ ื’ืขืฉืืคืŸ? ื•ื•ื™ ืื™ื– ืื•ื ื“ื–ืขืจ ื’ืขื“ืึทื ืง ืคื•ืŸ ื“ืขืจ ื•ื•ืขืœื˜ ืคืึทืจื’ืœื™ื™ึทื›ืŸ ืžื™ื˜ ืคืึทืงื˜? ื“ื™ ืื•ืŸ ืื ื“ืขืจืข ืคึฟืจืื’ืŸ ื–ืขื ืขืŸ ื’ืขืขื ื˜ืคืขืจื˜ ื“ื•ืจืš ื“ื™ ื•ื•ืขืจืง ืคื•ืŸ ื•ื•ื™ืœื™ืื ืคึผืึธื•ื ื“ืกื˜ืึธื ืข, ืึท ืคื™ื–ื™ืงืขืจ ื“ื•ืจืš ื˜ืจื™ื™ื ื™ื ื’ ืื•ืŸ ืึท ืฉืจื™ื™ึทื‘ืขืจ ื“ื•ืจืš ืคืึทืš. ื•ื•ื™ืœื™ืื ื™ื’ื–ืึทืžืึทื ื– ืื•ืŸ ืขื ื˜ืคึฟืขืจืก ืขืคึผื™ืกื˜ืขืžืึธืœืึธื’ื™ืงืึทืœ ืคึฟืจืื’ืŸ ื“ื•ืจืš ืจื™ื•ื•ื™ืœื™ื ื’ ืคึผืึทืจืึทื“ืึธืงืกื™ืงืึทืœ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืคื•ืŸ ืžืขื ื˜ืฉืœืขืš ื˜ืจืื›ื˜ืŸ ื•ื•ืึธืก ื–ืขื ืขืŸ ืœื™ื™ื›ื˜ ืึธื•ื•ื•ืขืจืœื•ืงื˜. ืฆื•ื•ื™ืฉืŸ ื“ื™ ืคืึทื ืก ืคื•ืŸ ื“ืขื ื‘ื•ืš ื–ืขื ืขืŸ ื“ืขืจ ืงืึทื’ื ื™ื˜ื™ื•ื• ื’ืขืœืขืจื ื˜ืขืจ ื“ืึธื•ื’ืœืึทืก ื”ืึธืคืกื˜ืึทื“ืขืจ, ื“ืขืจืžืื ื˜ ืคืจื™ืขืจ, ื•ื•ื™ืกื ืฉืึทืคึฟื˜ ื‘ืขืœืขื˜ืจื™ืกื˜ื™ืง ืฉืจื™ื™ื‘ืขืจ ื™ืฆื—ืง ืึทืกื™ืžืึธื•ื•, ืื•ืŸ ืžืึทื˜ืขืžืึทื˜ื™ืงืขืจ ืžืืจื˜ื™ืŸ ื’ืึทืจื“ื ืขืจ.

ื˜ืจืึทื›ื˜ืŸ ืคึผืึทืžืขืœืขืš ... ื‘ืึทืฉืœื™ืกืŸ ืฉื ืขืœ

ื“ื ื™ืืœ ืงืึทื”ื ืขืžืึทืŸ (Farrar, Straus ืื•ืŸ Giroux, 2011)

ื“ื ื™ืืœ ืงืึทื”ื ืขืžืึทืŸ ืื™ื– ืึท ืคึผืจืึธืคืขืกืึธืจ ืื™ืŸ ืคึผืจื™ื ืกื˜ืึทืŸ ืื•ื ื™ื•ื•ืขืจืกื™ื˜ืขื˜, ืึท ื ืึธื‘ืขืœ ืคึผืจื™ื™ื– ืœืึทื•ืจืขืึทื˜, ืื•ืŸ ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ื’ืจื™ื ื“ืขืจืก ืคื•ืŸ ื ืึทื˜ื•ืจืึทืœ ืขืงืึธื ืึธืžื™ืง. ื“ืึธืก ืื™ื– ื“ืขืจ ืžื—ื‘ืจ 'ืก ืคื™ื ืคื˜ ืื•ืŸ ืœืขืฆื˜ ื‘ื•ืš, ื•ื•ืึธืก ืคึผืึธืคึผื•ืœืึทืจืึทืœืœื™ ืจื™ื˜ืขืœื– ืขื˜ืœืขื›ืข ืคื•ืŸ โ€‹โ€‹ื–ื™ื™ืŸ ื•ื•ื™ืกื ืฉืืคื˜ืœืขื›ืข ืคื™ื™ื ื“ื™ื ื’ื–. ื“ืขืจ ื‘ื•ืš ื‘ืืฉืจื™ื™ื‘ื˜ ืฆื•ื•ื™ื™ ื˜ื™ื™ืคึผืก ืคื•ืŸ ื˜ืจืื›ื˜ืŸ: ืคึผืึทืžืขืœืขืš ืื•ืŸ ืฉื ืขืœ, ืื•ืŸ ื–ื™ื™ืขืจ ื”ืฉืคึผืขื” ืื•ื™ืฃ ื“ื™ ื“ื™ืกื™ื–ืฉืึทื ื– ืžื™ืจ ืžืึทื›ืŸ. ืคื™ืœ ื•ืคืžืขืจืงื–ืึทืžืงื™ื™ึทื˜ ืื™ื– ื‘ืึทืฆืึธืœื˜ ืฆื• ื“ื™ ืžืขื˜ื”ืึธื“ืก ืคื•ืŸ ื–ื™ืš-ืึธืคึผื ืึทืจ ื•ื•ืึธืก ืžืขื ื˜ืฉืŸ ืคืึทืจื ืขืžืขืŸ ื–ื™ืš ืื™ืŸ ืกื“ืจ ืฆื• ืคืึทืจืคึผืึธืฉืขื˜ืขืจืŸ ื–ื™ื™ืขืจ ืœืขื‘ืŸ. ืื™ืจ ืงืขื ื˜ ื ื™ืฉื˜ ื˜ืึธืŸ ืึธืŸ ืขืฆื” ื•ื•ืขื’ืŸ ืึทืจื‘ืขื˜ ืื•ื™ืฃ ื–ื™ืš.

ืคึผืก ืื™ืจ ืงืขื ื˜ ื’ืขืคึฟื™ื ืขืŸ ืžืขืจ ื˜ืฉื™ืงืึทื•ื•ืข ื‘ื™ื›ืขืจ ืื•ื™ืฃ ื“ืขืจ ื˜ืขืžืข ืื™ืŸ ื“ืขื ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™.

ืžืงื•ืจ: www.habr.com

ืœื™ื™ื’ืŸ ืึท ื‘ืึทืžืขืจืงื•ื ื’