UNG DUNG CDNG NGHE THUNG TIN KHAI THAC VE UEP TUAN HUC GUP PHAN TICH CUC HOA HDAT ODNG UDC TAP CDA HOC SINH TS TI^AN D i N H C H A U '''' TS O A N G THj THU T H U Y " Abstract The article analyzes and pr[.]
Trang 1UNG DUNG CDNG NGHE THUNG TIN KHAI THAC VE UEP TUAN HUC GUP PHAN TICH CUC HOA HDAT ODNG UDC TAP CDA HOC SINH
TS TI^AN D i N H C H A U ' - TS O A N G THj THU T H U Y "
Abstract: The article analyzes and provides examples on various usage of IT to find beauty
in mathematics, improving students' involvement, motivating students to have self initiation and passion for maths, hence enhancing effectiveness in learning maths
Keywords: maths' beauty, maths and science IT
Bertrand Russell da tung ndi: "Toin hgc khong
chl sa hihi chan lima con in chiia ben trong do ve
dep_ toi thU0}g, mgt ve dep lanh lOng vi mgc mac,
giong nhumgtbiic dieu khac, Uiuan khletM dieu vi
cokhinangdatdenst/hoan hao chatchema chico
thUnghe thuatvidai nhat m&co thethehieif
Cai dep trong toan hpc cung cd phan nao ddgan
nhucai dep ciia nhung buc tranh tnJu ttrpng Khong
on ao, nhung sau l^ng va gdp phan nang cao ^ m
van hda trong mdi con ngudi Nhieu ngucri nghT ring
toan hpe rat khd khan: nhdng con so, nhung hinh ve,
nhdng cong thdc toan hpe, nhi^u hpe sinh (HS} cdn
sphpe toan va nghTrSng nhung ngudi gioi toan la khd
khan, cung nh§c Coy kien eho rang de thuyet phyc
mpi ngudi (dac biet la cac ban tre) hpe toan, ta nen
nhan manh vao ve dep eua toan hpc ttiay vi su hdu
ich cua nd, d^c biet la cac ttiay eo giao can quan tam
nhieu hon viec khai thac ve dep ciia toan hpc Trong
day hpc Toan pho ttidng d nhleu nude tren ttie gidi
cung nhu nhieu trang web chuyen sau vetoan nhu
Matti-play.com;heymath.com, hp^ratehutrong khai
ttiac ve dep toan hpc va ting dung cua toan hpc ttong
cupesong
Trong khuon khd' bai viet, chung toi di sau vao
viec phan tich mgt so vidu dng dung cdng nghe
thong tin, cu the la su'dirngphan mern Geometer's
Sketchpad thiet ke mo phong mgtsd'hinh hinh hgc
"dgng'^ia tlm hieu s u ki dieu cua toan hpc trong tu
nhien ttiong qua Intemet gdp phan tich cue hda hoat
dpng cua hpe sinh, lam cho eac em yeu toan hon,
tfiich hpc toan hon
1 Ve hinh chu nhat dong sinh ra t u hinh
v u o n g dan vi
Khi HS tiep can vdisovdtt'vadabietdjnh li Pytago
edtiiegpi cho cac em dung cac doan tfiangeddpdai
la cae sd'vd ti Tren phan mem Sketchpad ta ve mpt hinh vudng cd canh b4ng 1, ta co ngay dudng cheo cua nd bang N^,tiep tiJC dtmg tam giac vuong cd hai canh goc vuong la 1 va 72 ta dupe eanh huyen cd dp dai ^ ^ , edtie'p tue qua trinh tren ta dung dupe cac
doan tti&ng cd dp dai b l n g >/4, -Js, >/6, tiep dd
dungcaehinhchunhatcodpdaicanhlacaesovoti tuong ung ta dupe hinh sau:
Cach lam ti/ong tt/ta dupc cac hinh chd nhat cd
dpdaimptcanhbangi vacanh cdn lai b l n g V2, S,
V4,V5,>/6,
* Hoi dong Qudc ^a Giao IIDC va E ^ t trien nhan liTc
* * Vien Nghien ciin Giao duc va Phat trien nhan lire
Tqp chi Giao dye so 369 33
Trang 2Hinh2
Cac hinh hinh hpc ndi tren vua cdnhieu dng dung
trong tt/nhien eung nhutrong nghe thuat (dcac thiet
keddihoitiiedac biet)
2 M d rong djnh li Py-ta-go
Ta da biet djnh li Py-ta-go "Trong mgt tam giac
vuong, binh phuang cua canh huyen bing tdng
cac binh phuang cua hai canh goc vuong' hoac cd
the phat bieu:
Trang mpt tam
giae vudng, dien
tieh hinh vudng
dunq tren canh
huyen bang
tong dien tich
cua hai hinh
vudng dung
tren hai canh
g6cvudng{xem
hinh 3}
Khidayphan nay, giao vien cdtiiedat cau hoi eho
HS tim hieu, kham pha: lieu khi ta tiiay biing cac hinh
hinh hpedongdang khac till dinh-li cdn dung khong?
Ching han, khi ta dung tren ba canh cda tam giac
vudng eae hinh tam giac deu, ngu giac deu, luc giae
deu, ttiidien tich cda hinh dung tren canh huyen co
bing tong dien tich cua haihinh tuong ung dung tren
hai canh gde vuong khdng? (xem hinh 4)
sau day (xem
hinh 5) cd cdn
dung khong?
Tmdng hop f ahinh5,HStie \
dang chdng • minh dupc dien tich cua nua hinh trdn {1}
bang tong dien tich eua hai nua hinh trdn (2} va (3), (trong do, dudng kinh eua cac nua hinh ttdn nay b§ng dp dai cac canh cua tam giae vudng ABC} Dien tieh cua nda hinh trdn (1} cd dudng kinii
Dien tieh eua nda hinh trdn (2} cd dudng kinli
Dien tich eua nda hinh trdn (3) co dudng kinh
bfcgbla^^[*J=^
Tong cae dien tich eua n f e hinh tron (2) va (3) la
n^^Ec_^^ib + g ' ^ g g ^ b§ng dien tich ciia ni}a
8 8 B 8
hinh trdn (1)
3 Day so'FlbonaccI (Phi-bo-na-xl) Day so Phi-bd-na-xi la day so (u J dupe xac dinh nhusau:
NghTa la, kettJ"so hang thdba trddi, mdisohang deu bang td'ng hai sohang ddng ngay tiirdchd.taGis day 1,1,2,3,5,8,13,21,34,55,89, (F) KhiHS dabi^
ve day so nay (Giai tich 11), hudng cho cac em tim hieu bi an day so Phi-bd-na-xi va suttiing hc^ kinli ngac trong tu nhien qua viec tim hieu ttiong tin ttSn Internet, ta se het sdc bat ngdttiu vj ve so canh hoa, each s i p x ^ la,canh eayvattiancay.qualhong.qui dua, Trong vo van cac day so, khdng phai nglu nhien m^aday so nay lai nolti'eng den vay
Chang han, si/sap x^ cac canh hoa tren wpt bong hoa Neu danh ttidi gian ngoi dem sd'canh^ua
cae loai hoa, se nhan tiiay mpt dieu kha ttiiivj rang: "so lupng canh hoa tren mpt bdng hoa ludn la mpt ttong
341 Tgp chi G i d o due so 3 6 9
Trang 3canh, ba canh, nam canh, tam canh, 13 canh (xem
hinh 6)
Mpt so loai hoa c6 so luong canh hoa ludn ia mot
sd'codjnh, cung conhdng loai hoa coso lupng canh
hoa tiiay da Tuy nhien,ttieo eae nhakhoahpc.nhung
con sd'nay luon giao dpng quanh mptmoc tiung binh
lamptsottiupc day Phi-bd-na-xi
LTngdung cdng nghe ttiong tin, khal tiiacve dep
cua toan hpc gliip HS CO ttiem mpt gdc nhin vetoan
hpc, ttiay dupc s u g&n ket gida toan hpc va nghe
thuat Qua dd, cung gdp phan giao due toan dien
cho HS thong qua day hpc bp mdn Toan nhu ren
luyen tinh kien tri, ti mi, tang cudng kT nang cong
nghe thong tin, tang tiiem kha nang hpi hpa, tap
duotnghien cdu khoa hpc va lam cho cae em tich
cue, tugiac yeu thich hpc mon Toan hon - do cung
phuong phap day hpc va gdp phan boidudng nang luc toan hpc cho HS ma cong eupc doi mdi giao due nudc nha dang hudng den •
Tai li^u tham khao
1 Alfreds Posamentier Ve dep toan hpc NXB Ddn
rn',H 201.1
2 Trdn Dmh Chau - DSng Thi Thu Thuy Ung duog
cdng nghe thdng tin trong day hpc mon Toan d tnrong ph6 thSng NXB Gido dftc Viit Nam, H 2011
3 TrSn Dinh ChSu - D^ng Thj Thu Thuy "Khai Ui^c
ve dep toiin hgc qua mpt stf mO phong dOng" Tgp chi Gido due, s6' 344 thang 10/2014
4 Bp GD-DT GiSi tich 11 NXB Gido due Vi?lNam,
H.20I1
5 Theoni Pappas Vui hon nua v(H toin hpc NXB
Ddn tri, H 2014
Mpt SO van S h e day hoc tiing Anh
(Tiep theo trang 53)
phai lam gi va lam nhuthenao tai nhung goc hpc tap,
gdc vui ehoi ttian ttiudc Dan nhan chu tfiich ten gpi
bingTA len cac do vat trong ldp hpc Ngoai ra, nhdng
hoatdpng hiing ngay cua Idp hpe cung gdp phan giup
tre hpc totTA do trong "moi ttudng quen thupc" dd tre
da biet dupc dieu gi se xay ra mdi ngay va loai ngdn
ngunao ttiudng dupc sudyng trong mdi hoan eanh
-Xiydt^gmdinudngNNtichcuc,^dqcsach,\fo
chuyen v(SGV hoac choi tid choi deu cho ttiay tte ttiuc
su phat tii^n ngon ngu" Idl na ro ret Mpt frong nhung
each lam hi6u qualaGV luon dpng vien va khen ngpi
tte ttong cae hoat dpng diin ra tten ldp nh^m lam cho
tte gan k ^ ngon ngdvdi cac tinh huong tai cho
Deviec day TAchoTMNdathieuquacao.can phai
cdphuotig phap mem deo, linh hoat phu hpp vdi tdng
giai doan va tting kieu phong each hpc Viee tim hieu va
chpn l i ^ cac tai lieu giang day dat "chuan" va til ieh hpp
vdi tiing Ida ttjoi cung dong vai trdquan ttpng ttong viec
nang cao hung tiiii va hieu qua hpc tap cua tte Chuong
trinh day hpc phai dam bao TMN hpc TA cd nhieu cP hpi tij'Png tac vdi ca ngudi ldn va cac tte khac, Iudn kliuyai khich, dap ldi tte b l n g TA Ngoai ra, GV can chuan bi: cac hoatdpng da dang ttieo mdc do nham tang dan kha nang ctiii yeiia tt-e; xay dung mdittirdng
NN tich cue; ttiiet ke chudi cac hoat dpng eholmahpc vatt/ong ^ c vdi nhieu fre va cd giao; GV can sddung
da dang eac dung cu tn/c quan, phUOng tien day hpc sinh dpng; gidmaBen lae ttiudng xuyen vdlphuhuynh, bao cao veviee hpc cua trevayeu cau supha hpp cua gia dinh ttong viec day tre •
Tai li^u tham khao
1 D Barone - S.H Xu Literacy instruction for
English language learners Pre-K-2 New York:
Guilford Press 200$
2 T Bongaerts Introduction: Ultimate attainment
and the critical period hypothesis for second
language acquisition Internallional Review of
Applied Linguistics in Language Teaching 2005
3 P Tabors One Child, Two Languages Baltimore:
Paul Brookes 1997
4 P Tabors - CE Snow English as a second language
in pre-school programs Cambridge University Press
1994
Tap chi Gido due so 369 35