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Published at Saturday, August 08th 2020, 14:12:34 PM by Sidonia Couturier. Класс математики. V algebre yest dva ogromnykh primera chrezvychayno vazhnykh ponyatiy, kotoryye studenty chasto putayut s ikh povsednevnymi znacheniyami - ili, po krayney mere, ne mogut real no ob"yasnit, chto takoye matematicheskoye znacheniye na samom dele. Etimi dvumya kontseptsiyami yavlyayutsya: «reshit», kak v sluchaye resheniya uravneniya, i «faktor», kak v mnozhitele etogo vyrazheniya. Vy znayete, chto znachit reshit golovolomku ili reshit voznikshuyu u vas problemu, vypolnyaya shtrafnyye broski v basketbole; no chto znachit reshit uravneniye? Vy govorite, chtoby nayti otvet? Kak uznat, chto u vas yest otvet? Ono rabotayet? Chto eto znachit? Ochen nemnogiye izuchayushchiye algebru mogut na samom dele skazat slovami - s lyubym realnym ponimaniyem - chto reshit uravneniye - eto znachit nayti znacheniya dlya peremennykh, kotoryye delayut uravneniye ISTINNYM.


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Published at Sunday, August 02nd 2020, 01:30:51 AM. Класс математики By Ninette Paris. Nedavno ya prochital blog uchitelya matematiki, kotorogo bolshe vsego bespokoit elementarnaya matematika i gramotnost. Mne prishlos posmeyatsya nad primerom, kotoryy on ispolzoval - pochemu my ispolzuyem slovo «zaimstvovat» v vychitanii, yesli ne sobirayemsya vozvrashchat yego? Eto khorosho podnyatyy vopros. V matematike my sklonny ispolzovat terminy iz povsednevnoy rechi, no v matematike eti terminy chasto imeyut ochen raznyye znacheniya. Eto mozhet byt i chasto yavlyayetsya istochnikom putanitsy dlya mnogikh studentov, izuchayushchikh algebru; i, k sozhaleniyu, ucheniki chasto dazhe ne osoznayut, chto oni pereputali znacheniya termina, a uchitel ne ulavlivayet etogo, poka ne stanovitsya slishkom pozdno. Pod «slishkom pozdno» ya podrazumevayu, chto oshibka byla povtorena i prochno ukorenilas v vashem mozgu. Eti oshibki trudno ispravit. Luchshe izbegat etogo, chem pytatsya ispravit.


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Published at Sunday, August 02nd 2020, 00:15:46 AM. Класс математики By Reine Brun. Vy znayete, chto mytye ruk - vazhnyy «faktor» zamedleniya rasprostraneniya bolezni; no kak eto primenimo k faktorizatsii takogo vyrazheniya, kak a ^ 2 - ab? Matematicheskoye znacheniye slova «faktor» polnostyu otlichayetsya ot povsednevnogo znacheniya. V algebre mnozhitel oznachayet «perepisat kak umnozheniye». Kakoy? Itak, a ^ 2 - ab v faktorizovannoy forme - eto a (a-b), poskolku, kogda vy umnozhayete a i (a - b), vy poluchayete a ^ 2 - ab.



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Published at Saturday, August 01st 2020, 21:27:18 PM. Класс математики By Vignetta Colin. Vy kogda-nibud mechtali o tom, chtoby vnesti v zhizn pozitivnyye izmeneniya i nachat poluchat pyaterki po matematike? Bolshe ne nuzhno mechtat. S pomoshchyu pravilnykh instrumentov vy mozhete povysit svoyu sposobnost uchitsya i preuspet v matematike. KHOROSHO. teper podozhdi minutku. YA znayu, chto vy dumayete: «YA uzhe proboval, no, pokhozhe, nichego ne rabotayet». Vy deystvitelno poterpite neudachu, tolko yesli sdadites, poetomu davayte rassmotrim tri soveta, kotoryye pomogut vam dobitsya uspekha v matematike. Vo-pervykh, pozvolte mne upomyanut, chto neobkhodimy pravilnyye instrumenty. Konechno, mne izvestno o vashem vozrazhenii, chto oni mogut byt nemnogo dorozhe. YA soglasen s tem, chto vy govorite, pravda, no, tem ne meneye, pryamo seychas vam nuzhen pravilnyy graficheskiy kalkulyator, chtoby uluchshit svoi otsenki. Ne tolko eto, no vy mozhete ispolzovat yego v techeniye mnogikh let dlya drugikh zanyatiy i dazhe v professionalnoy zhizni.


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Published at Saturday, August 01st 2020, 20:09:21 PM. Класс математики By Villette Guillon. Yesli vy novichok, to, skoreye vsego, yeshche ne dumayete ob ekzamenakh v kolledzhe i AP. Odnako, yesli vy khot nemnogo interesuyetes matematikoy i / ili yestestvennymi naukami, vy, veroyatno, v konechnom itoge sdadite odin ili neskol ko ekzamenov AP po matematike i yestestvennym naukam. Uchityvaya stoimost segodnyashnikh graficheskikh kal kulyatorov, bezuslovno, razumno potratit dopolnitel noye vremya, chtoby khotya by oznakomitsya s politikami kalkulyatorov dlya etikh ekzamenov, inache vy pozzhe uznayete, chto vam nuzhno budet kupit novyy graficheskiy kalkulyator.


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Published at Saturday, August 01st 2020, 19:34:33 PM. Класс математики By Chantal Chevalier. Veroyatno, luchshiy sposob ubeditsya, chto klass idet v nogu s tem, chto on izuchayet, - eto ustanovit bazovyy protsent dlya klassa, kotoryy idet v nogu s materialom, i togo, kotoryy ne uspevayet, i togo, kotoryy tozhe legko provesti vremya s nim. Naprimer, yesli klass v tselom pravilno otvechayet po krayney mere na 70% voprosov, kotoryye im zadayut, uchitel mozhet reshit, chto eto oznachayet, chto oni znayut material. Kak tolko oni naberut bolshe, chem, skazhem, 90% pravilnykh otvetov, uchitel mozhet reshit, chto eto oznachayet, chto on poluchayet dostatochno, chtoby oni mogli pereyti k sleduyushchey teme. Eto budet oznachat, chto klass ot 70% do 90% popadayet v tsel, klass nizhe 70% dolzhen zamedlitsya i peresmotret, a klass vyshe 90% gotov dvigatsya dalshe.



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Published at Saturday, August 01st 2020, 18:38:07 PM. Класс математики By Stephanie Pelletier. Kogda my obuchayem studentov, vsegda neobkhodimo soblyudat ochen tshchatelnyy balans. S odnoy storony, vy khotite ubeditsya, chto uchashchiyesya mogut uznat kak mozhno bolshe. Drugimi slovami, vy khotite, chtoby u nikh byla vozmozhnost uznat kak mozhno bolshe, ne vygoraya, ne teryaya interesa, ne peregruzhaya i tak daleye. Eto oznachayet, chto vy pytayetes umestit v uchebnyy plan stolko informatsii, skolko, po vashemu mneniyu, oni mogut obrabotat, no vy ostanavlivayetes pered tem, chto bylo by prosto peregruzkoy. S drugoy storony, vy ne dolzhny byt slishkom ostorozhny s peregruzkoy studentov, potomu chto vy mozhete okazatsya na drugom kontse etogo khrupkogo balansa. Yesli vy slishkom bespokoites o peregruzke uchashchikhsya, vy mozhete stolknutsya s situatsiyey, kogda oni nedostatochno stimulirovany i prosto teryayut vremya v klasse.


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Published at Saturday, August 01st 2020, 17:17:22 PM. Класс математики By Damien Chauvin. Zapominayte formuly SIMVOLOV i SLOV. Formula d = r t ne budet imet takogo bolshogo znacheniya ili sokhranyatsya do tekh por, poka versiya slova: proydennoye rasstoyaniye ravno koeffitsiyentu / skorosti, umnozhennomu na vremya s etoy skorostyu. Eto mozhet byt trudneye s vychislitelnymi formulami, no eto stoit dopolnitelnykh usiliy. Naprimer: formula a ^ 2 - b ^ 2 = (a + b) (a - b) o tom, kak razlozhit na mnozhitel raznost dvukh polnykh kvadratov. «Faktor» oznachayet «perepisat kak umnozheniye». Takim obrazom, nashu formulu sleduyet chitat tak: «Raznost kvadratov dvukh chisel, zapisannaya kak umnozheniye, ravna proizvedeniyu summy i raznosti dvukh chisel».



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