Published at Monday, January 18th 2021. by Adriane Lacombe in математика класс.
Ispol zovaniye kolody kart na uroke matematiki mozhet byt interesnym sposobom razvlechsya s matematikoy. Idealnyy sposob bystro prosmotret ili zakrepit matematicheskiye fakty i kontseptsii - eto veselo provesti vremya s matematicheskimi kartochnymi igrami. Nevazhno, ispol zuyete li vy obychnyye karty (ot tuza do korolya) i pridumyvayete li vy zabavnyye matematicheskiye igry dlya ispolzovaniya s nimi ili sozdayete spetsializirovannyye kolody na osnove uprazhneniy po matematike ili izuchayemykh kontseptsiy (to yest drobey, mnozhiteley, razmetki). Vazhno to, chto ucheniki manipuliruyut etimi kartochkami i aktivno uchastvuyut v poiske otvetov i v to zhe vremya poluchayut udovolstviye.
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?
Vo-pervykh, sovershenno yestestvenno imet problemy so snom v noch pered vazhnym dnem, i vypusknoy ekzamen po matematike yavlyayetsya imenno to, chto ochen vazhno dlya uspekha v zhizni. Teper vy mozhete pochuvstvovat sebya luchshe, yesli ne spite vsyu noch i budete uchit sya, i vy budete govorit sebe, chto deystvitelno uchites i sobirayetes proyti etot test, no realnost takova, chto vy s bolshey veroyatnostyu spravites khuzhe, yesli vam ne khvatit sosredotochitsya i delat glupyye oshibki, iz-za kotorykh vy propuskayete otvety.
Pozvolte mne podelit sya s vami svoyey istoriyey. U menya yest doch po imeni Sara, u kotoroy problemy s ponimaniyem matematiki. Kazhdyy raz, kogda ya vizhu yeye otsenku, ya chuvstvuyu sebya vinovatym, potomu chto nichego ne delayu, chtoby pomoch yey i uluchshit svoi znaniya po matematike. I ne govorya uzhe o tom, chto ya uchitel matematiki. YA byl tak zanyat v to vremya iz-za bol shogo kolichestva raboty v shkole, i pomimo etogo, ya rabotal nad nekotorymi ochen vazhnymi yuridicheskimi voprosami. YA pytalas nanyat chastnogo repetitora po matematike, no bezuspeshno, potomu chto yeye repetitor tol ko chto skazal mne, chto u neye net initsiativy izuchat matematiku. YA sprosil svoyu doch, pochemu ona nenavidit matematiku. Ona tol ko chto skazala mne, chto eto ne veselo, kak drugiye predmety, kotoryye pozvolyayut im igrat. YA posovetovalsya s Terezoy po povodu moyey problemy s docher yu. Tereza byla tak lyubezna sdelat mne podarok. Eto byla kniga pod nazvaniyem «Delayem matematiku boleye uvlekatel noy». Ona skazala mne poprobovat i sledit za ney, yesli budet uluchsheniye. YA posledoval yeye sovetu i mesyats proboval.
Chem ty planiruyesh zanyat sya? Zavtra test, a ty dazhe ne znayesh nazvaniya togo, chto delayesh! Chto zh, v gosudarstvennoy shkole vy mogli by poyti k uchitelyu matematiki gde-to posle ili do uroka, i oni mogli by ob"yasnit vam eto lichno, prosmotrev vashu rabotu, ukazav, chto vy sdelali ne tak, otvetiv na voprosy, kotoryye u vas byli ili prokhozhu s vami primer. Zatem vy, nakonets, ponimayete urok, poluchayete pyaterku v svoyey viktorine, i vsya shkola ustraivayet vam grandioznuyu vecherinku, kotoraya postepenno zatukhayet pod khoroshuyu pesnyu i final nyye titry.
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!
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.
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