Mô hình hóa toán học trong bối cảnh học tập dựa trên giải quyết vấn đề

MO HINH HOA TOAN HOC TRONG BOI CANH HOC TAP Dl/A TREN GIAI QUYET VAN OE Ld Hdng duang Trudng THPT Xudn Giang, Sdc San, Hd Ndi TOM TAT P^'^dungmdUnhtodnZcrZ^d7d^'^,^'''l^"«^"g'^>-O'^" -'«« cin Nghiin aiu di xuit quy trinh ShnhT^f^^ cua phuang ph^ pdng day cua minh todn hgc vd thuc tiin " """ '"" """'g 1"' "•'"* g'"' I'vil vin di tiint21,T''''''''^'^''^'^ ^'^'^'^>-''*'^.-Oidiqioi,vindi:7huc Ngdy nhgn bdi: 8/9/2016; Ngdy duyil ddng bdi: 25/9/2016 I fiat vin dl tiong su thay d l ^ T ^ d ^ f r I ' ' ^ - " " ^ "^^"S gia ttog Toto hp ntog'tofa h ^ V e d n S d i r u i " d b t " ' * " ' ^ " " ' ''" ^^"« ' ° ^ ' toto m ^ h md nhu: x i y ^ i l i ^ t f i l ^ i t h t h n • " ™ / ' " ' ' " ^ " ^ ' " " h "nh djnh vin dd, phdi hop s u d ^ g ^ o L i 14 mdt n i r ' K " * " ^ * " ? 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L t o rd yttrftng:Hpc sinh cd ttil titah biy dupc sir ttiay ddi dd cao cia cdng dufti dang bfag hpto biiu Don gito: Hpc stah cd Uil chpn h? tpa d0.Oxy cho g6c tpa dd tring VItilmpt chfa cdng = T v Tong quit hda: Nlu hpc sinh hilu dugc moi lien h | gifl-a cic ylu ,6 lidn (JUfa den dinh cia parabol ttii hpc sinh cfing cd tfil giii quydt nhidm vu vfti cic hnh huongttronghr 96 TAP CHlTAMLyHpCSd 10(211), 10-2016 Dd td ehue boat dpng md hinh hda nhidm vu ft vi du giao vidn huftne dan hpc smh ttiuc bitatfieoquy trinh dl xuit ttta Tltuc hiin cdc budc md hinh hda Be giai quylt bii toto niy cin phii tim hilu dd xic dinh cic giattiidtctia bi toan cho cu Uid ban Do vay, gito vita khuyin khita hpe smh Uito luto vd nhmig so lieu cfa ttaet cfa ttiu Uiip dd dmi gifa boa bii toto Nhto ttiiy hinh ft COttietim m dp cao cua c6ng Hoc sinh giai ttiita ring, cto didm ttdn cdng settioamfa mpt tinh chit eia parabol * ^ Hpe sinh bilt ring h t o sd bto hai cd djng y = ax'- +ix.^e, (a*0) Vay muon th, him sd bto hai niy tiung vfti hmh dtog cdng, tiuftc tita hoc sinh can chpn hp ttue tpa dp vudng gdc Dl Unh tofa ftuto tidn chon g& o' t ^ nTit s ' d i t r , ' ™ * ' ^ ' ' ' ' f f l""™^ " ^ '"^ "° ^ phai xto linb d u r h h L^ i i ^ '^?^' ' h ^ hjn O(0;0), B(Xk;0), M(x„;y„) Hoe sinh'tiln hfah dje de tim sd lidu cto ttiidt xic dinf 11*^0'^^*^''^ ^^' " ^ "^•'^ ^°'- ' * ° ^ ctoh gifta hai chto vi WtnteT-^^d•^'ZJ'T^: 'h?"S hfa: khotog cita hai tato cdng Ii 10m, tire xt - 10; diem M bat ky ttdn edng ta dp xa so vfti ttuc ttting dftn|tii g d c i x „ = l v i d i l m M e a t a m i t d i t y „ = 3.Khidd:^ = d^=+l£;t.Nhu 3' viy, cdng parabol cao ;- = — » 8,33 m « n h ™ ° '"^- i ''^'''™' ^^° ''*'""" ™"8 " h ^ ^ "Sy dvmg c6ng ttii clng eao hon so va, t,nh toto mi hpe sinh dua ta.khotog 7cm Dilu niy dtfpc ly g,i! eto cong, c L lhon ' " nfta > " cong ^ " cdn ? 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T^l" " ' ' '^ ^^ '"^^•- •• Chinh vi vay, nhilu hoc stah da gto S x t diTd K ' " ?' *''^*' "•' "'y " ^ hii toto Thuc tiring, ho^ sinh xiy d ^ g dupc bai tototfncdtfidgiii duoc bii toto dd Vi till hpc smh X vm;t quattftngj, toto hpc hda vin dltttuctiln vi bilt giii ttiita k t q u T Kit luin ™t„ ° " ""'l^ "'*.''"h hda hoto toto cd ttil duac vto dmig ttong dav hoc toto a ttuong ttung hpc phd ttidng dua ttieo quy ttinh tiic gii df xuit'lS^'hiS TAP CHf TAM Ly HOC, SS 10 (210,10-2016 oan hpc va da> hpe dua trta giai quylt vin d l da duac chung minh cd mdi lien he bien cbung Md hinh li mdt phin cua day hoe dua trdn'aiai quvIt vin de ma toan hpc la thinh phan quan trpng cua bai toto md hinh hda xi'nd dpa tren eac y luang toan hpc quan trpng giup hpc sinh cd thd dao sau v.i phat tridn su thong hieu toan hpc Nhieu nghien cftu truftc day gifti thidu c i c md hinh toan hpc cho thay chien lupc nhung chua quan tam thda dana ddn phuana phip djy hpc dua tren giai quyet vto de Nghien cuu phin n i o minh chuifa cho nhung Ipi ich cua vide djy hpc md hinh hda giii quvIt vin dd aiup hoc sinh phat tnen cic ky nang giai qu)ci vto dd kv nana hpp tic kha niing van dung til thuc toin hpc kinh nghidm tich Iilv bin than v i o giii quylt nhftng nhiem vu thuc tidn T i i lieu tham k h i o Farad Bahmaei Mathematical modelling In primary school, athantages and chtilknges Journal ol Mathematical Modelling and Application, Vol I No 9, 2011 Lesh R & Doen- ll.M (Eds.) Beyond conslruclivism: A models & modelling perspective on mathematics problem solving learning & teaching, Mahwah NJ: Eribaum 2003 PubTsh*"'200™'''"' ^"^ " " ' ' " ' ^•'''"•'•'"™"'''*^'"'"'"""''"- Speetmm Academic Ltitoc?Eta::,t,'^:fK.ls:'^^^"""""""" •"'"'"""''' ofR'omZtTllN:'*™"''"'"'"*''""™'"^^^ ° = ' ' ° ' h r a International Journal Ihong Tap chi Khoa hpe Dai hpc Qude gia Ha Npi, Tjp 31, Sd 2015 TAP CHfTAM Ly HPC S>-) 10(211), 10-2016 ... lidn (JUfa den dinh cia parabol ttii hpc sinh cfing cd tfil giii quydt nhidm vu vfti cic hnh huongttronghr 96 TAP CHlTAMLyHpCSd 10(211), 10-2016 Dd td ehue boat dpng md hinh hda nhidm vu ft vi du