Published at Sunday, September 06th 2020. by Genevieve Roussel in математика класс.
Vsegda chitayte formuly kak zakonchennyye mysli ili predlozheniya. Formuly vsegda dolzhny imet znak ravenstva. Takim obrazom, formula dlya rasstoyaniya NE rt. Formula dlya rasstoyaniya d = rt. Vsegda proveryayte pravil nost formul. Naprimer: raznitsa dvukh polnykh kvadratov mozhet vyglyadet kak 25-4. Ochevidno, znacheniye etogo chisla ravno 21, no yesli my poluchim eto zhe znacheniye s pomoshchyu formuly, my proverim formulu. Po formule 25-4 mozhno bylo by zapisat kak 5 ^ 2-2 ^ 2 i razlozhit na mnozhiteli kak (5 + 2) (5-2) = 7 (3) = 21. Takim obrazom, formula proverena. Znayte, kak oboznachat otvety po formule i chto oni oznachayut. Bud te konkretny pri chtenii formul. Poskol ku vse formuly ploshchadi nachinayutsya s A =, boleye polezno dobavit dopolnitelnuyu informatsiyu. V A = (pi) r ^ 2 luchshe vsego chitat eto tak: «Ploshchad kruga ravna pi, umnozhennomu na kvadrat radiusa kruga». Obyazatelno pomnite, chto ploshchad vsegda izmeryayetsya v kvadratnykh yedinitsakh.
Kogda deti provodyat vremya v shkole, my, kak obshchestvo, khotim byt uvereny, chto oni izvlekayut maksimum pol zy iz poluchennogo opyta. Eto mozhet byt slozhnoy zadachey po ryadu prichin. Fakticheski, eto mozhet byt velichayshaya problema, s kotoroy stalkivayetsya sistema obrazovaniya, potomu chto vse deti ne odinakovy, i iz-za etogo nekotoryye deti budut imet problemy s opredelennymi predmetami i kontseptsiyami, v to vremya kak drugiye deti budut imet problemy s drugimi predmetami i kontseptsiyami. To, chto yavlyayetsya podkhodyashchey politikoy ili naborom pravil dlya odnogo uchashchegosya ili odnogo klassa, mozhet ne sootvetstvovat nailuchshim interesam drugogo uchashchegosya ili drugogo klassa. Takim obrazom, problema yasna: kak sozdat luchshiy klass dlya kazhdogo rebenka, izbegaya pri etom neveroyatnykh zatrat na sozdaniye individual noy uchebnoy programmy dlya kazhdogo uchenika?
Samaya vazhnaya chast etoy golovolomki - eto protsess, kotoryy ispol zuyetsya dlya opredeleniya togo, obladayet li uchenik znaniyami, neobkhodimymi dlya propuska uchebnogo goda po matematike. Naprimer, ochen vazhno, chtoby v teste ne ispol zovalsya mnozhestvennyy vybor, potomu chto uchenik mozhet sdelat neskol ko udachnykh predpolozheniy, kotoryye iskazyat okonchatel nyy rezul tat. Krome togo, dolzhno byt neskol ko raznykh voprosov, proveryayushchikh kazhduyu kontseptsiyu, chtoby uchashchiysya mog prodemonstrirovat svoi navyki na boleye chem odnom ekzemplyare dannoy kontseptsii, chtoby dokazat, chto on ili ona znayet etu kontseptsiyu, ili yeye otsutstviye. Nakonets, veroyatno, v obshchikh interesakh, yesli posle togo, kak uchenik udovletvoritel no sdast ekzamen, on ili ona syadet s uchitelem prodvinutogo klassa, chtoby uchitel mog obsudit s uchenikom neskolko kontseptsiy, poka uchitel ne udovletvoren tem, chto uchenik adekvatno podgotovlen k uroku. Chrezvychayno polezno ubedit sya, chto uchashchikhsya pravil no raspredelyayut po klassam, chtoby oni mogli maksimal no ispol zovat svoye vremya v klasse. Ochen vazhno udelyat vremya etomu ostorozhno, chtoby uchashchiysya mog poluchit nailuchshiye vpechatleniya i maksimal no ispol zovat vremya, provedennoye v shkole.
Veroyatno, luchshiy sposob vyuchit formuly - eto delat kartochki po mere znakomstva s novymi formulami. Sdelayte 2 nabora kartochek. Pervyy nabor dolzhen imet nazvaniye formuly s odnoy storony - Ploshchad treugol nika - i polnuyu formulu s drugoy storony - A = 1/2 b h. Vtoroy nabor kartochek dolzhen imet formulu na odnoy storone - A = 1/2 b h - s formulirovkoy formuly na drugoy storone - Ploshchad treugol nika ravna polovine proizvedeniya osnovaniye umnozheno na vysotu treugol nika. Pri rabote s flesh-kartami: poprosite kogo-nibud porabotat s vami, rabotayte tolko okolo 10 minut za raz, no delayte neskolko podkhodov v den, poka vse ne zapomnitsya i ne stanet osmyslennym. Poslednyaya mysl: ne prosto izuchayte populyarnyye formuly - VYUCHITE IKH VSE!
Vy znayete tot moment, kogda sidite na uroke matematiki i nakonets ponimayete, kak reshat zadachi na doske, no nikto drugoy etogo ne ponimayet? Razve vam ne kazhetsya, chto vy na vershine mira ili kak budto Bog ukrasil etot klass vashim prisutstviyem? YA imeyu v vidu davay! Dazhe uchitel vse portit! Eto odno iz samykh luchshikh oshchushcheniy, no eto takzhe odna iz zhertv kiber-shkoly. Davayte posmotrim na obratnuyu storonu moyey pervoy gipoteticheskoy istorii. Vy sidite na uroke matematiki, i uchitel obsuzhdayet chto-to sovershenno novoye, chto vklyuchayet drobi, mnimyye chisla, i ya dumayu, chto tol ko chto uvidel tam malen koye pi. Vy znayete, chto vam nuzhno sosredotochit sya, potomu chto, yesli vy ne poluchite pyaterku po etomu testu, vy libo ne proydete etot kurs, libo vam budet razresheno gulyat s druz yami. No vashi glaza nachinayut medlenno zakryvat sya, i vy nachinayete den mechtat o tom, kak etot milyy novyy student yest pirog. Zvonit zvonok, i ty bystro prosypayesh sya.
Vidite li, vash razum nastol ko silen, chto kazhetsya, budto vy mozhete, sobytiya proizoydut v vashu pol zu, i yesli u vas yest nastoychivost i reshimost , vy budete userdno rabotat , poka eti tseli i mechty ne osushchestvyatsya. Net nichego, chto moglo by ostanovit chelovecheskiy razum, nastroyennyy na vypolneniye ili dostizheniye opredelennoy zadachi. Nevazhno, uchitsya li on v shkole, pobezhdayet v sporte, delayet kar yeru ili imeyet luchshuyu sem yu. Postoyannyy uspekh v vashem klasse matematiki, deystvitel no, ya nadeyus , chto vy, pozhaluysta, rassmotrite vse eto i zadumayetes nad etim. Udachnogo vam dnya - eto obyazatel no!
Ispol zuyte standartnuyu kolodu kart (Tuz-Korol). Sygrayte v lyubuyu traditsionnuyu kartochnuyu igru, no zastavte uchenika chto-nibud delat s chislami. Yesli eto igra so sbrosom, oni dobavlyayut ili umnozhayut sbroshennuyu kartu na uzhe imeyushchuyusya. Yesli eto tot, gde vy stavite tri odinakovykh ili tri v posledovatel nosti vniz, vam nuzhno chto-to sdelat s nimi, slozhit vse, slozhit pervyye dva, vychest sleduyushcheye. Nazovite vse faktory, ispolzuya chisla i tak daleye. Ispolzuyte standartnuyu kolodu (tolko A-9) dlya opredeleniya stoimosti. U nikh yest svoi kolody kart, pozvonite po nomeru, posmotrite, skolko vremeni im potrebuyetsya, chtoby nayti chisla i poluchit ikh v pravilnom poryadke. Karty lits mogut byt zapyatymi.
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