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NGHIEN CUU & l/NG DUNG XHV 0tfN6 OUV miNH iHfOUNG Pf/fllV MEM CIISRI T(tON6 GIHI TOflW CfTC 71^/ HINH HOC Pf/JWfi THEO PHlfONG PHHP KHBU PHtt Nguyen Ngoc Giang Cao hpc todn K18 - Dgi hoc Vinh S it dung phan mem Cabri ho trg giai toan cue tri ve hinh hoc phang theo phuomg phap kham pha la phil hcrp voi phuong cham cua Bo Giao due dua iing diing cong nghe thong tin vao truong hoc Xay dimg duac quy trinh su dung phan mem theo phuang phap kham pha se gilip ich phat trien dugc tu thuat toan, tu tin hoc cho hge sinh Khai ni€m day hoc kham pha Hien chua co su chinh xac hoa (tliuat ngu, hpi ham) cac dinh nghia ve day hoc kham pha Chiing ta co the hieu kham pha qua mot so each tiep can sau Kham pha la qua trinh tu bao gom quan sat, phan tich, danh gia, neu gia thiet va suy luan nhim phat hien cac khai niem, nhirng thugc tinh mang tinh quy luat ciia doi tugng hoac cac moi lien he giira cac sir vat, hien tugng ma chu the chua tirng biet truac Pire dua mot dinh nghia khac: Kham pha nhu la viec dua cac tinh huong ma ma nhiing tinh huong khong CO ket qua ro rang doi vai hoc sinh lai nhiing tri thiic kho tang kien thiic cua nhan loai thong qua nhimg cau hoi hoac nhiing yeu cau hanh dgng, ma hge sinh giai dap hoac thuc hien dugc thi se dan xuat hien duong dan den tri thiic Muc dich cua phuang phap day hge kham pha khong chi la lam cho hge sinh ITnh hoi tri thiic cua mon hge, ma quan trgng hon la trang bj cho hg nhiing thii phap suy nghT, nhiing each thiic phat hien va giai quyet van de mang tinh dgc lap, sang tao X^y dyng quy trinh sir dung phan mem Cabri giai toan cue tri hinh hoc phang theo phuong phap Idiam pha a Quy trinh sic dung phdn mim Cabri dgy hpc gidi todn theo phucmg phdp khdm phd Trong cac bai toan cue tri cua hinh hge phang chiing ta CO the ling dung phan mem Cabri de trg giiip giai toan Phan mem Cabri cho phep chiing ta ket hgp giua hinh hge tong hgp va hinh hoc giai tich de giai toan Cac buac tien hanh iing dung Cabri giai toan hinh hge phang nhu sau: * Bu&c Dung hinh Theo [1], phuang phap day Dimg hinh theo yeu cau hge kham pha thuang dugc thuc hien qua hang loat hoat cua bai toan Co the ket hgp dgng, giao vien kheo voi niit lenh Interrupteur cho leo dat hge sinh vao dia vi hinh xuat hien theo thii tu nguoi phat hien lai, kham pha truoc sau Ngay nhan bai 25/6/2012: Ngay duyet dang 25/9/2012 • TAP CHI THIET BI GIAO DUC-SO 86-10/2012 * Bu&c Tgo vit Do dai lugng can tim cue tri phu thugc vao vi tri cua diem hay hinh chuyen dgng Tu ve thi cua dai lugng vua phu thugc vao vi tri cua diem hay hinh chuyen dgng Sau du doan cue tri cua dai lugng can tim xay nao * Bu&c Chimg minh Di chuyen diem hay hinh chuyen dgng den vi tri cho dai lugng can tim cue tri dat gia tri Ion nhat hay nho nhat, tu suy loi giai cua bai toan -^ Bu&c Kiim chimg So sanh loi giai toan hoc va ket qua cua viec tim eye tri tren phan mem Cabri Neu hai ket qua khac thi chiing ta phai xem lai lai giai toan hoc ciing nhu ket qua tim cue tri tren phan mem b Vi du minh hpa Vi du i Cho tam giac ABC Qua mot diem M bat ky thugc canh AC, ke cac duong song song vai hai eanh kia, chiing tao voi hai canh ay mot hinh binh hanh Tim yi tri ciia M de hinh binh hanh ay co dien tich lan nhat Ta thuc hien viec tim gia tri lan nhat ciia di§n tich hinh binh hanh tren phan mem Tin hge Cabri nhu sau Giao vien dat cau hoi: Em hay dung hinh vd ve thi cua dgi lugng cdn tim cue tri trin phdn mim hinh hpc dpng NGHIEN c u u Cabri? * Bu&c 1: Dung hinh 8IUNG DUNG III Ke AK ± BC, AK cat EM a H Ta c6: S' = EM HK, S=-BC.AKnen —=2 S BC AK d » / B^N^^ / _ A , D a t M A = x , MC = y chii yrang p Dung tam giac ABC Dung diem M thuoc canh AC Dung ME // BC, MF// AB (hinh ve) Dung da giac BEMF bang niit lenh Da giac Dung he true vuong goc Oxy Dimg tren Oy diem Q cho OQ bang so dien tich hinh thang BEMF Cac duong vuong goc vai Oy tai Q va Ox tai M cat tai R * Bu&c 2: Tgo vet: Tao vet cho diem R, chuyen dgng diem M, ta thu dugc vet ciia diem R * Bu&c 3: Chimg minh Giao vien dat cau hoi: Em hay chimg minh bdi todn tic kit qud du dodn ciia phdn mim Cabri? * Goi hinh binh hanh tao \a BEMF, dt(BEMF) = S'; dt(ABC) = S(const) Cin tim gia tri lan nhat ciia S' i \^x \ M / ^ " K S' / V F EM HK (djnhlyTa-let) BC x + y AK x + y S'^ 2xy nen S"(x + y)^- d' p c I Dung duong thang qua A vuong goc voi AB cit d' tai C Dung tam giac ABC Theo bat dang thiic Co-si Dung he true vuong goc ta CO voi x, y > thi X + y > Oxy 2^Sy Suyra Dimg tren Oy diem Q cho OQ bang so dien tich 2xy ,-2a=90° a=45° * Bu&c 1: Dung hinh Dung duong thang d // d' Tu day ta dung dugc cac Dung diem B thugc d diem B va C tuong iing Dung diem A nam giCta d Bai toan co hai nghiem hinh vad' N6i BA (Xem tiip trang 11) TAPCHITHIETBI GIAO DUC-SO 86-10/2012 • NGHIEN a / U & UMG DUNG dac diem tu nhien, tai nguyen thien nhien eua mot lanh th6 dia li ( dia hinh, dit, hau, nuae, sinh vat, khoang san, ) Tim hieu va danh gia ve dan cu va xa hoi ( dan cu, dan toe, chat lugng cuoc song, lich sir phat trien, ) cua moi khu vuc - Tim hieu ve cac nhan to anh huong toi qua trinh hinh thanh, phat triln cua dii tugng dia li Cu the nhu cac nhan to anh huong tai qua trinh hinh dat, phat trien va phan bo sinh vat, to chiic lanh tho nong nghiep, cong nghiep, Tuy nhien, de mang lai hieu qua cao, GV nen sir dung ket hgp ki thuat day hge vdi cac phuang phap va ki III thuat day hge dac tnmg eiia Ngi (2003) bg mon de true quan ve doi Phan Trgng Ngg Dgy tugng nhan thiie nhu: ban dl, hpc vd phuang phdp dgy hpc bang so lieu, bieu dl, tranh nhd tru&ng - NXB Dai anh diali, hge su pham (2005) Sumary Tai lieu tham khao Prof Bemd Meier, Dr "Jigsaw" is an effective Nguyln van Cuang Ly ludn teaching strategy when cfoy hpc hiin dgi Mot so vdn organizing geography di ve ddi m&i phuang phdp dgy hpc Potsdam Ha Ngi, c o n s c i o u s n e s s - r a i s i n g activities It promotes each 2009 Bg Giao due va Dao tao insividual student's active , Chuang trinh gido due participation in classroom thdng mdn Dia li, NXB Giao discussion, which contributes due (2006) to the innovation as well as Dang Van Diic - Nguyln Thu Hang , Phuang phdp dgy improvement of geography hpc dia li theo hu&ng tich cue, teaching quality in high NXB Dai hge Su pham Ha schools XaV OlHiiG OUV TRINH HfOUN6 (Tiip trang 3) Cdch gidi khde: Khong dat bien so la goc a ma dat HB = x, KC=y rii ap dung dinh ly Pitago va bat dang thiic < y < * Bu&c 4: Kiim chung Giao vien dat cau hoi: Em hay so sdnh kit qud chimg minh bdng phuang phdp todn hpc vd kit qud kiem chung tren phdn mim Cabri? • Lai giai toan hge va ket qua kilm chiing tren phin mim Cabri la gilng Tren day la mot so khai thac cac bai toan cue trj co sii dung phin mim Cabri theo phuang phap kham pha Hy vgng rang, bai bao gop mot phan vao viec dii mai phuang phap day hoc cung nhu giai thieu each thiirc khai thac quy trinh ciia viec ling dung Cabri giai phuang phdp dgy hpc khdm phd dgy hpc hinh hpc Tai lieu tham khao khong gian, Tap ehi Giao due, Le Vo Binh, Dgy hpc hinh hpc cdc l&p cudi cdp ki2-3/2009(s6 210),tr.44Trung hpc ca s& theo hu&ng 45, 2009 hu&c ddu tiip can phuang phdp khdm phd, Luan van tien Summary sT Giao due hge, Dai hge Vinh, As is known, discovery 2007 leaning is an active teaching Nguyen Nggc Giang, Khdm phd gidi todn learning method for thdng hdng cdc phuang phdp students So, to build the todn - tin, Nha xuat ban Giao process of the use of Cabri due Viet Nam, 2011 Nguyen Nggc Giang, interactive software in solving Phdn mim hinh hpc dpng vd plane geometric extremum hdt ddng thicc Cd-si img dung problems according with gidi todn cue tri Tap discovery leaning method is chi Tin hge & Nha Truong, (s6 an important problem for all 114), tr.l6-19,2007 Bui Van Nghi, Van dung of us toan cue tri hinh hge phang TAP CHI THIET B| GIAO DUC • SO 86 -10/2012 # 1 ... chung tren phdn mim Cabri? • Lai giai toan hge va ket qua kilm chiing tren phin mim Cabri la gilng Tren day la mot so khai thac cac bai toan cue trj co sii dung phin mim Cabri theo phuang phap kham... chimg hay chimg minh bdi todn tit trin phdn mim Cabri? * Lai giai toan hoc va ket kit qud du dodn cua phdn qua kiam chiing tren phSn mem Cabri? mem Cabri la giong * Ggi H va K la cac hinh chieu... phan vao viec dii mai phuang phap day hoc cung nhu giai thieu each thiirc khai thac quy trinh ciia viec ling dung Cabri giai phuang phdp dgy hpc khdm phd dgy hpc hinh hpc Tai lieu tham khao khong