N G H | £ N CIJUTHl/CTliN GlAO DUC
Boi dUdng Id nang sif dung phan mem trong day hpc Toan:
Mpt nghien cufu tracing hdp cho sinh vien sir pham Toan tai Tracing Dai hpc Sa pham - Dai hpc Thai Nguyen
Tf jnh Thj Phifdng Thdo TfUflng Oai fioc SU pham - Dai hoc Thai Nguyen So 20 Luong Ngoc Quyen, thanh pho Ttitii Nguyen, linh Thai Nguyen, Vi?! Nam
Email: TnnhphiJongthao@dhsptn edu vn
TOM TAT: Viec hinh thiinh, ren luy$n cic kindng day hgc, trong do cd kln&ng Ung dung cdng nghe thdng tin vio day hgc la mgt trong nhdng mgc liiu vi dugc xae dinh rd trong chuan dau ra cua chuong trinh dio tgo giio viin Toin.
Bii bao di cap din mgt si kinSng sCf dgng phin mim ccf bin trong dgy hgc Toin d trddng phi thdng cin trang bj cho sinh vidn Dgi hgc SU phgm Toin hoc: Sd dung phin mim di kiem tra kit qui tinh toin, md hinh hda bii toin, minh hga kit qui giii toan, hd trd tim tdi Idi giii, md rdng bii toin va cic bi^n phip de ren luygn, phit triin cic kT ndng nay tU thgc tiin dao tgo sinh viin nganh Toin d Trudng Dgi hgc SUpham - Dai hoc Thii Nguydn.
Tif KHOA: Sul dung c o n s nghe thong t i n trong day hoc l o a n ; ki nang sit dung phSn m£m trong day hpc Todn; boi diTdng la nSng sU dung phSn m£m trong day hpc T o i n .
•^ NhSn b^i 6/3/2019 -> Nhan kit quJ p h k bign vi chinh siia 10/4/2019 -> Duyfit dang 25/5/2019.
1. D$t van de
Dirng truac sy phat trien nhanh chong va tac dpng ciia c6ng ngh^ thong tin (CNTT) den cac khoa hQc kT thuat, x3 hoi...Trong thai gian vira qua, tren the giai cac nghien cuu ve chuan, kT nSng (KN) irng dyng CNTT trong day hQC kha phong phu, cu the nhu sau: Ngay tir nhimg nam 2000, Hi?p hpi Quoc te ve cong nghe trong giao due cua Hoa Ki da xac dinh ro chuan cong nghe doi vai mpt nguai gi^o vien (GV).Tomei (2005) da dua ra mpt bang phan loai muc do hieu biet va sii dung cong nghe ciia GV va hgc smh (HS).
Ve van de boi duong KN img dyng CNTT cho GV, smh vien (SV) co: Tomei, L.A. (2005) da dua ra mpt so nhirng nguyen tac trong boi duang KN img dung CNTT cho SV, do la: tich hpp voi vice giang day cac hpc phan (HP), gin vi^c sir dung CNTT vai boi canh thuc va tao moi truong de SV dupe trai nghiem ... Cher Ping Lim (2006) cho r5ng, ckc trucmg dai hpc (DH) co nhi^m vy chuan bi cho SV cua minh cac nang luc ung dung CNTT trong d?y hpc de sau khi ra truong co dii nang lyc img dung CNTT ma thuc tien nghe day hpc doi hoi. Doi vai dpi ngii GV pho thong, cac nghien ciru ciia J.J Hirschbuhl (1996) cho ring can tiep tuc trang bj cac KN su dyng CNTT cho G V va da de xuat 6 giai doan phat trien KN img dyng CNTT cho GV.
Ngoai ra, co the ke den cac kel qua nghien ciiu cua Aija Cunska, Inga Savicka (2012). William J. Goos M (2013);
R.N. Ronau (20U). Drijvcrs P., Lynda Ball. Baebel Bar- zel M, Kathleen Heid Yiming Cao. Michela Maschietto (2016)... Qua cac kci qua nghien ciiu ciia the gicri cho thiy the giai danh gia cao tam quan trpng va nhixng tac dpng tich eye ciia CNTT den d?y hpc va da dua ra nhieu minh chung sinh dpng cho \ iec img dyng CNTT vao d^y hpc Toan cung
nhu nhirng KN cua nguoi GV khi iing dyng CNTT vao d^y hoc can c6.
Lien quan dSn van de ihng dung CNTT trong day hpc Toan a truang pho thong, trong nuoc cung co nhieu ket qua nghien ciru. Vi dy: Nguyen Anh Diing (2013) da dua ra cac ket qua nghien ciiu ve chuan nSng luc dau ra ve CNTT va truygn thong (ICT) d6i vcri SV su pham (SP), thyc tien vi nhu cSu b6i duang ve ICT cho SV SP, tit do de xuat chuin, chuang trinh dao tao ICT cho SV SP.
Nghien ciru ve viec ung dung CNTT trong day hpc To^ o truong pho thong, co the ke den cac ket qua nghien ciiu cua Dao Thai Lai (2006), Trinh Thanh Hai (2007), Tran Tning (2008), Nguyin Danh Nam (2016)...Vin di boi du&ng ung dung CNTT noi chung, KN sir dung PM noi rieng trong day hpc Toan a truang pho thong cung d3 dupe nhieu tic gia de c^p nhu: Tran Trung (2011), Tran Dinh Chau, D$ng Thi Thu Thuy (2011), Trinh Thanh Hai, Trin Vi?t Circmg (2013), Le Tuin Anh (2016)...
Cac nghien ciiu nay da cy the hoa vi?c img dyng CNTT trong day hpc Toan doi vcri cac bac hpc, qua mpt so cac tJnh huong, hinh thuc, npi dung day hpc.cung nhu cac bi?n phap b6i duong KN sir dung phim m£m (PM), khai thac Intemet... cho dpi ngu GV Toan ph6 thong \a SV.
Tren co so nghien ciiu cac ket qua tren the gicri va trong nuac ve vi?c boi duang KN sir dyng PM ho trp d?y hgc Toan cho SV nganh SP Toan, chiing toi dat ra hai nhipn vy nghien cim nhu sau: 1/ Xac d(nh \a cy thi hoa mpi so KN Sli dyng PM trong day hpc Toan can boi dudng cho SV nganh SP T o ^ ; 2/ Xac dinh cac bi?n phap SP nhim boi duong cac KN sir dung PM ho trp d^y hpc Toan cho SV trong qua trinh dao t^o SV nganh Toan hpc aTruang DHSP - DH Thai Nguyen.
9A TAP CHl KHOA HOC GlAOOgC VIET NAM
Tnnh Th| Phi/ong Thao
2. K^t quS n g h i e n cufu
2.1. Mpt so kj nang sOr dung phan mem ho trd day hoc loan can bdi dirdng cho sinh vien nganh Sa pham loan 2.1.1. KI nang suT dung phan mem tfe kiem tra ket qua tinh toan Voi mpt so trucmg hgp trong day hpc Toan, ta co the dimg han mem de tinh toan nhanh cac ket qua va danh thai gian ho vifc phan tich k6t qua, ma rpng bai toan hay phat hien ai lam trong lai giai. Hien nay, cac phan mem Toan hpc ien canh vi?c cho phep tinh toan nhu mpt may tinh bo tui tii ciing cung cap cho nguai sii dung mpt h? thong cac cau enh de xii 11 tinh toan trong S6 hpc, Dai s6, Giai tich... De :hai thac duac cac chuc nang nay, doi hoi ta phai co KN sir lung cac cau lenh, cac cong cy ciia PM.
Vf dy 1: Sir dung PM de dua ra ket qua giai toan: Ta chi 'iec sir dyng ngan hang cac cau lenh co san ciia phan mem ti thyc hien c6 ngay ket qua, dap so cuoi ciing. Chang han, li dung phan mem Maple de tinh toan, ta co:
Kiim tra ket qua giai phuang trinh:
ii^ + 12x^f^+l = 27(1 +1)
Ta diing l?nh [> solve(4*x''2+12*x*sqrt(x+l)=27*(x+l
!x});
Ket qua nhan dupe:
{x-3},Jx
-KJemtraketqua tim giai han: lim-
Ta sit dung lenh [> limit((2*sqrt(x+4)-(64-x)''(l/3))/
^x=0);
Ket qua nhan dupe: — . 25
• 48
- Kiem tra kit qud giai phuong trinh: x^ - 53;^ + 63: = 2 Neu Sli dyng Ipnh: [>solve(xM-5*x'^2+6*x=2,{x});
Ta CO ngay dupe ket qua; {x = v3 -1}, {x - - 1 - V 3 } , [x = l}, {x = l}
Vi dif 2: Sir dung de kiim tra ket qua thyc hien cac tinh can CO mpt thuat toan: Trong truang hap nay, ta co thi sit lyng hai hay nhieu cau lenh (igm got la chuong trinh) de :iem tra kit qu^ thyc hien mpt thuat toan hay kit qud thyc lien mpt day cac tinh toan, vi dy sii dung phan mem Maple:
Ching han, xet bai toan: Tinh cac so hang, tong ciia mot J3y so: cho mot cap so cpng biet u(3) = 29; u(8) = 84. Hay iua ra 20 s6 hang diu va tong ciia chting (SGK Dai so - Giai ich ldp U), Ta co thi sir dung cac cau l?nh sau ciia Maple:
[>restart; u(3):=29; u(8):=84;
d:=(u(8)-u(3))/(8-3); u(l):=u(3)-2*d; tong:=u(l);
for i from 2 to 20 do u(i):=u(l)+(i-l)*d; tong:=tong+u(i) Ki;
Kit qua thuc hien chuang trinh cho ta ket qua tong cin im la 2230. Vin de d day la ta c6 the su dyng chuong trinh i^y cho bai toan md khi biit gia tri 2 s6 h?ng khac nhau ciia npt cip so cpng thi se dua ra tong S__ cua cap so cong vcii n
so ty nhien bit ki mpt each nhanh chong.
2.1.2. Sil dung phan mem de mo ta bai toan, ket qua 161 giai Gua bai toan
Vi?c sir dyng phan mem Toan hpc vcri the manh do hpa va tinh tuang tac cac de mo ta cac van de thuc tien, mo ta cac bai toan se cho phep HS duac tiep can vai cac mo hinh sinh dpng true quan ma bang cac phuang phap khac khong hoac rit kho de thyc hien. Sir dung PM de mo ta bai toan hay ket qua giai toan, ngoai kien thirc toan hoc, ta phai co KN lam chii cac cong cu ciia PM de mo hinh hoa bin toan, bieu dien cac yeu to ciia bai toan
Vi du 3: Sir dung phan mem Cabri mo ta bai toan quy hoach tuyen tinh (dgng dan gidn): "Nguoi ta dy djnh dimg hai loai nguyen lieu de chiet xuat it nhat 140 kg chat A va 9 kg chat B. Tir moi tan nguyen lieu loai I gia 4 tn?u dong, CO the chiet xuat dugc 20 kg chat A va 0,6 kg chat B. Tir moi tan nguyen lieu loai II gia 3 trieu dong, co the chiet xuat dupe 10 kg chat A va 1,5 kg chat B. Hoi phai diing bao nhieu tin nguyen lieu moi loai de chi phi mua nguyen lieu la it nhat, biet rang co so cung cap nguyen ligu chi co the cung cap khong qua 10 tan nguyen lifu loai I va khong qua 9 tan nguyen lieu loai II" (SGK Dai so - Giai tich lop 10) nhu sau:
Truac tien, ta phan tich dua bai toan da cho tra thanh: Tim
|
0 < i < 1 0 0 < ?/ < 9 2i + y > 14 2i + 5j/ > 30 sao cho T(x; y) = 4x + 3y co gia tri nho nhit. Tiip theo, ta CO the sir dyng phan mem Geometry Cabri de dua ra mo hinh ciia bai toan ban diu: Mien nghiem ciia he bit phuang trinh (xem Hinh I).
Vi du 4: Xet bai toan: Cho hp Parabol (dj: y = x^ + (2m + I)x + m^ - r. Chiing minh ring di thi hp ham si nay luon tiep xiic vai mot duang thang.
Sau khi HS chimg minh duac d6 Ihi ciia ho harn so tren luon tiip xiic vai duong thing y = x - 1 ta c6 the sir dyng PM Geometry Caibri minh hpa kit qua 16 giai mpt each sinh dpng (xem Hinh 2).
8617 thing 5/2019 95
NGHllN CtfU THtfC TIEN GIAO DUC
GV yeu cau HS xet cac vi tri d$c bi?t cua diem A.
-A = B => I = B. Vay B thupc quy tich.
- A = C => 1 = N .N la trung diim cimg BC thupc quj tich.
- Vay quj tich I la nira duang trdn duong Idnh BN (xem Hmh 4).
Hinh 2
2.1.3. Sit dung phan m^m ho Ird hoc sinh tim toi hi/6ng giai quyet
«an fle
Di sii dyng PM h6 trp HS tim dupe huong giai quyet van di, ta thuang sii dung PM theo 3 buoc sau:
Buoc I: Tiip edn vdn di- Sii dung PM the hien bin a dang tinh di HS xac djnh ro nhiing yeu to ban dau.
Buoc 2: Khdm phd- Cho thay doi mot vai yiu t i ciia hinh ve, HS quan sat su thay doi ciia cac doi tuptig vii moi quan h$ giOa chiing de dua ra cac nhan xet, du doan, co the sir dyng PM de kiim thir cac dy doan ma HS dua ra. Tir ket qua xu li cua PM ma loai bo hoac tim each chung minh dy doan.
Buoc 3: Minh hog kit qud. Sir dung PM minh hoa cac ket quii mpt each sinh dpng va co the tiep tyc dua ra huong phat trien, ma rpng bai toan.
Vi dff 5: Xet bai loan 7 (SGK Hinh hpc 11): Cho diim A nim tren nira duimg tron tam O, duang kinh BC. Dyng ve phia ngoili ciia tam giac ABC hinh vuong ABEF. Gpi I la tSm doi xung ciia hinh vuong. Chirng minh ring khi A chay tren niia du6ng tron da cho thi I chay tren mpt niia duong tron".
Hoat dpng 1: Giai quyet bai toan.
- Ta CO I lit anh eua A qua phep dong dang F co dupe bang each thyc hj^n lien tiep phep quay tam B, goc quay 45° va phep vi ty tam B, ty so — . Tir do suy ra khi A chay tren \f2 nira duirng tron (O) thi 1 ciang chay tren niia duong tron (O') la anh ciia nua duang tron (O) qua phep dong dang F (xem Hinh 3).
Hoat dgng 2: Nhan dang quy tich.
N.
-V---
Hinh 4
Hoat dgng 3: Phat trien bai toan bang each thay doi gia thiit: Xac dinh quy tich khi diem A ch^y tren ca duong htti duang kinh BC.
Thuc ti mpt s6 HS khong chii y din diiu ki?n "Dyng ve phia ngoai ciia tam giac ABC hinh vuong ABEF' nen da dan din sai lim: xac diith qiiy tich la duang trong duong kinh BN (xem Hinh 5).
Nguyen nhan HS sai lam lii: khi A thupc niia du6i cua duang tron thi I se la anh ciia A qua phep ding d^ng F \i anh ciia phep quay Q(B;- 45°) va phep vi ty V(B; — ) , chii 42
khong phai phep quay Q(B; 45°) va phep vj ty V(B;
v^-
nhu khi A thupc nira tren cua duang tron.
Kit qua ta co quy tich sg hai niia duong tron dii ximg nhau qua BC (xem Hinh 6).
Tir bai toan nky, co the dua ra cho HS cac bai toan tuong ty nhu: Tim quy tich diem F khi diem A thay doi.
2.2. C^c bifn phap boi dirdng cic ki ning uT dung phk • ' • ho tfd day hoc Toin cho sinb vien Trudng fiai h^c W p h f * ' flai hpc T h i i Nguyen
Tren ca so cac KN sir dyng PM trong d?y hpc Toin 6 truong ph6 thong, qua trinh boi dudng cac KN niy du^
tich hprp trong qua trinh dao tao SV ngay tir nflm thir nhfc boi cac bi^n phap dong bp sau:
% TAP CHi KHOA HOC GIAO DUG VlfT NAM
Tnnh Th! Phudng Thao
Bi^n phdp 1: Xay dipig chuffng trinh Tin hpe ca s& eo th irng dfing cao
Do da phin SV cua Truang DHSP - DH Thai Nguyen lit phat tir cac trucmg THPT tren dja ban cac tinh Trung I, mien mii phia Bic nen con han chi vi cac KN CNTT 1 ban noi chung, cac KN sii dyng PM trong day hpc noi eng nen dk SV tung buoc hinh thanh va phat triin cac N CO ban vi ung dyng ICT, chuang trinh tin hpc co sd ua Truang DHSP - DH Thai Nguyen ngoai cac kiin thiic a ban ve tin hpc dai cuang, chucmg trinh da dua vao mot 5 phan mem thuang dupe dimg trong vi?c tra ciiu, tim iim thong tm va thiit ki trinh bay bai giang. Cac bai thyc Einh, bai tap ty hpc cQng duac thiit ki theo dinh huong ng dyng CNTT trong cac cong viec ciia nguai GV. Kit liic hpc phan Tin hpc co so, SV da co cac KN co ban nhu:
'J^ Sli dung may tinh va thiet bi ngoai vi, KN sii dyng phin lem c6ng cy, tim kiem, khai thac thong tin tren Intemet...
Bipn phdp 2: Xdy dung chuffng trinh irng dang CNTT
•ong dg.y hpc Todn
Hpc phin img dyng CNTT trong day hpc Toan dupe iang day cho SV nam thii 3 khoa Toan, Truang DHSP -
>H Thai Nguyen co muc tieu boi duang cho SV cac KN:
Jng dung CNTT trong day hpc Toan; Xay dung va thyc lien ki hoach day hpc voi sy h6 trp ciia CNTT gdm cac ipi dung chinh sau: Chuang 1. Day hpc Toan v6i su h6 trp :ua CNTT; Chuong 2. Sir dyng phin mim hinh hpc dpng
|trong day hpc Toan; Chuong 3: Sir dung phin mim tinh ban dai s6 trong day hpc Toan; Chucmg 4. Khai thdc E- leaming trong day hpc Toan. Nhu vay, vice boi dudng cac
|KN sir dyng PM trong day hpc Toan dupe thuc hien chii yiu npi dung chuong 2, chuang 3 voi cac cap dp cu the sau xem Bang 1):
Bipn phdp 3: Boi du&ng KN su dung PM trong day hpc yan thong qua dgy cde hpe phan trong chuffng trinh ddo tgo mpt edeh ddng bp
Trudc het, phai khang dinh rang neu GV giang day cac hpc phin thupc khoi giao dye dai cuong hay kien thiic nganh, chuyen nganh Toan (trong do cd cac hpc phan nhu:
Hinh hpc so cap, Dai sd so cap, nhdm cac phep bien hinh, toan hpc trong thuc tien...) ma khai thac tdt Intemet, cac PM trong qua trinh len ldp thi ngoai viec truyin thy kiin thiic, doi mdi npi dung, phuang phap day hpc thi day ta mpt moi trudng thuan loi cho SV lam quen, hpc hdi qua tung gid giang ciia GV de tich luy dan thanh KN kT xao cho ban than minh.
M|t khac, doi vdi cac hpc phan ve li luan, nghi?p vu trong chuong trinh dao tao nhu: Phuang phap day hpc mdn Toan, thyc hanh SP... thi mpt trong nhirng myc tieu cua hpc phin la gdp phan bdi dudng KN sir dyng PM trong day hpc Toan va la moi tmdng thuan Igi de SV thi hien cac KN nay qua viec thiet ke va thuc hien cac hoat ddng trong vice thir nghiem day hpc Toan cho HS phd thdng. Day dugc xac dinh nhu mot trong nhirng nhi?m vu cd tinh ren nghi cho SV doi vdi cac GV giang day cac hpc phin.
Di thuc hien bien phap nay, d Trudng DHSP - DH Thai Nguyen, cac GV day cac HP phai cimg nhau phan tich chuang trinh, chi ra dupe nhiing npi dung nen sir dyng PM trong qua trinh ien ldp cac HP trong chuong trinh dao tao ki ca cac HP trien khai trudc hoac sau khi SV hpc HP Tin hpc ling dyng.
Bipn phdp 4; Khai thae CO hipu qud vipe ttr hpc cua SV Viec phat huy vai tro tu hpc cua SV nhim ren luy?n KN sir dung PM trong day hpc Toan dupe thuc hi?n mpt each ddng bd, cu the nhu sau:
- Khuyen khich SV tim toi, ty hpc each sit dyng cac PM cd the hd trg qua trinh day hpc Toan.
- Giao nhiem vy cho SV sii dyng PM de hoan thanh cac nhi^m vy tu hpc (trong dd cd ca nhipm vu thiet ke cac giao an, cac kich ban hoat dpng ngoai khoa todn hpc... cd sir dyng PM).
I^ng 1: Cic cap do cu the qua ngi dung chUdng II, I
ChUdng 11. S l i d i n g 11.A.1. C6 hieu bi^t cd ban vi mOt so phan phSn m6m tilnh m^m hinh hoc dong trong day hoc to^n.
hpc dOng trong d^y I1.A.2. Trinh bay di/dc cdc bi/dc sil dgng phan hoc Toin mem hinh hpc dong tmng day hpc mpt so
tinh huong dien hinh ciJa day hpc Todn ll.A.S. Bi&. cdch sic dgng mOt so phan mem hinh hpc dong.
11.8.1. Sif dung mot so phan mem hinh hpc dflng trong day hoc mot so tinh huong dien hinh ciia day hoc Toan ll.B 2. Xay diing di/Oc kich ban day hoc mpt npi dung cg the c6 sil dung phan mem hinh hpc dpng ho trp day hoc.
11 C l . Oanh gia di/Oc nhflng npi dung trang chUdng trinh pho thong CO the thac hien day hoc veil Sli ho trd ciia phan mem hinh hoc dpng mpt each hieu qua.
Chifdng HI: Sif dgng phSn m^m tinh todn dai sd trong day hpc Todn
1I1.A.1. Biet cdch sif dung m$t so cau lenh cd bdn ciia phan mSm Maple,
111 A.2. Bigt cdch sir dung mdt s6 cau c i u triic cd ban trong ngdn ngS ldp trinh ciia phan m^m Maple
111.8,1. Sif dung mpt sd cau lenh cd ban, c5u tnJc cd ban trong ngon ngfl lap trinh cua ph3n mSm Maple de giai mdt sd bai todn d tn/dng phd thdng, 111 B.2 Sfl dgng phan mem Maple trong viec hd trd nghien cUu toan hoc (Kiem tra gid thuyet toan hpc; Hd trd kiem tra ket qud tinh toan; Hd trd tim tdi ldi giai bdi todn,..).
1I.C.1, Oanh gia dfldc nhifng ndi dung trong chfldng trinh phd thdng cd tfie thflc hien day hoc vdi sfl hd trd cua phan mem Maple mdt each hi?u qua.
86 17 thdng 5/2019 97
NGHieN COfU THI/C TIEN GIAO DUC
- Tao dien dan tren Intemet de SV cimg chia se kinh nghiem. kit qua ciing nhu hd trp nhau trong viec tu bdi dudng KN sii dung PM trong day hpc Toan..,
- Giao cho SV thyc hien mpt sd de tai nghien ciiu khoa hpc, khoa luan tdt nghiep lien quan den viec sir dung PM hd trg day hpc toan,
3. Ket luan
Can cir vao muc tieu dao tao GV day mdn Toan d trudng phi thdng, chiing toi da xac djnh rd chuan dau ra theo dinh hudng tiep can CDIO, trong dd co chuan ve CNTT ddi vdi SV sau khi tdt nghiep DH Chuan nay hoan toan phu hop vdi ehuin KN su dung CNTT theo Thdng tu 03/2014/TT-
BTTT va la cy the hda gin voi nghi d?y hpc Toan.Trong nhdm cac KN vi img dung CNTT trong day hpc Toan thi cac KN: Su dung phan mem de kiem tra ket qua tinh toan.
md hinh hda bai toan, minh hpa ket qua giai toan, ho trp tim toi ldi giai, md rdng bai toan dong \ai trd cdt ISi. \ ^ ^ van dyng ddng bd eac bi?n phap, trong do bi?n phap 3 (Chii trpng bdi dudng KN sii dung PM trong day hpc Toan thdng qua day cac hpc phan trong chuang trinh dao t^o), bi?n phap 4 (Khai thac cd hieu qua vi?c ty hpc ciia SV) ddng vai tro quan trpng. Qua cac dpt thyc tap SP ciia nam thir 3 va cudi khda, nang lyc iing dung CNTT trong day hpc Todn, trong dd cd KN sir dyng PM ciia SV duoc GV cac tnrdng phd thong danh gia cao.
Tfli lieu tham khao
Le Tuan Anh (2016), Su dung mgt so phdn mim Irong dgy hoc mon Todn a tru&ng pho thdng, Tap chi Toan hpc trong nha trudng, (6), tr.4-8 va 21.
Trin Dinh Chau, Dang Thi Thu Thiiy (20! i), ifng dung cong nghi Ihong Un trong day hoc mon Todn & tnr&ng pho thong, NXB Giao dye Viet Nam.
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TRAINING SKILLS USING SOFTWARE IN TEACHING AND LEARNING MATHEMATICS: A CASE STUDY WITH MATHEMATICS STUDENTS IN THAI NGUYEN UNIVERSITY OF EDUCATION
Trinh Thi Phuong Thao Ttiai Nguyen University of Education 20 Luong Ngoc Quyen street.
Thai Nguyen province, Vietnam Email [email protected]
ABSTRACT: The formation and training of skills teaching, including the skills ol applying information technology in teaching is one of the objectives and well- defined in the standard output of the program education for math teacher. The article mentions some skills of using basic software in teaching mathematics at high schools to equip students with mathematics pedagogical universities:
Using software to check calculation results, modeling problems, illustrating mathematical results, support finding solutions, expand the problem anti measures to train and develop these skills from practical training of math students in Thai Nguyen University of education.
KEYWORDS: Applying information technology in teaching mathematics; skills ot using sofhvare in teaching mathematics; training sidlls using software in teaching and leamiiig mathematics.
98 TAP CHI KHOA HQC GIAO DDC VIET NAM
