Sai lầm trong toán học hóa của sinh viên cao đẳng ngành kinh tế khi giải quyết một số bài toán tài chính cơ bản

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Sai lầm trong toán học hóa của sinh viên cao đẳng ngành kinh tế khi giải quyết một số bài toán tài chính cơ bản

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Sm IJM IRONG IDIlN HOC HOA C M SINH VlfN CHO DiNG NGJINN H N l t KHI GUI QUYET MQT SO BAI nUiN n i CHiNH COfBAN NGUYEN THI MAI T H 6 | !'''' Ngay nhgn bai 10/08/2016 ngdy siia chira 16/08/2016; ngdy duy^[.]

Sm IJM IRONG IDIlN HOC HOA CM SINH VlfN CHO DiNG NGJINN H N l t KHI GUI QUYET MQT SO BAI nUiN n i CHiNH COfBAN NGUYEN THI MAI T H | !' Ngay nhgn bai: 10/08/2016: ngdy siia chira: 16/08/2016; ngdy duy^l dang: 23/08/2016 Abstract: This article points out malhemalisation errors of Economics students at colleges iphen solving some basic financial problems collected firom questionnaires and interviews The article dso analyses highlighted errors through flue common mathematics problems The research results uM help students recognize their errors, learn from mistakes and misconceptions, then train malhemalisation ability, practice skills and apply math Into reality Keywords: Mathematlsation, basic financial mathematics problem, errors Qua quifiinhday hpe hpc phan Toan cao tti) - sjmrdZ' Aii(,duA3Cc^.iL£tlJ& raa.Iiai^.i^Smx.^L Xi: ,fei_.JiJanJuLaa4 _._ JMP.OD=-£ZS,£ia.axj _„.ri~" ^VIL ^ - If'- VlALdfiJziu M-JilJ£L'l(.3L3l£l^ ja^4ii.Ai-ni.A.jdipi./iiufi v^n&lmp^Jii^ Hmh I Bai lam cua SV I ^^aa*^ fen IZiI"5iEZ2ZI (kii 10/2016)- ' Hinh3.BailamciJaSV3 Tqp chi Giao due so 391 l i SV xac dinh sdfienvay ehinh la gia bin ciia i >X c i." # - r« T chide dien ttioai Rd lang Nam da phai tta frudc * iAu(ta^ *«p Qla*aDg.tl'.i; ^^ 11 OOO.OOOd nen Nam ehi vay fren sddunocdn lai J.l.Jii^SU -:J.i!^C^ * a*-d^JiM mattidLDieunaychottisvSVcdnkhalungttingfrDng i r.±K i.i^LMy]:-L —• vide xac djnh ydu tdttungtam cung nhu vide hieu ^) Si • — S — " ^ ^ — ' '^'* •'^^ ngdn ngutt/nhien Ngoiira,bai lam ciia SV cdn " " ''•' ~: " ttiieu dOn vj, diy la loi bit can ttieo Hodes & Nolfing (») Q*.i /t OAf !l.^.S dki^_ (1998) Nhdm xie dinh dupc sdfien vay la sddu no j 1ni*ia A(!!p u4i.fiaft9- Vfcf.if nhung lai eho ring tdhg sdtienNam phaifragdp ,7 ^A - ' u m e n > tn •*-(-'**x)" ^ frong 12ttiingchinh la twig sdtien phaifrikhi vay sd *i: ai.yyi , ^~.u,.uiii.s — _j, fien bing sddu nprdi cdng vdi gia bin cda dien ttioai ir'O'vrq y i ) " * ""' Bii lam d hinh l i dai dien cho nhdmttiur3, cung fcj J j i " ^ j.M.^.CO chottiaySVdahieukhdngdungvdtdhgsd'fienNam •'•''^ ' phaittagdpfrong12ttiing.S V xac djnh sai sddu np ~~ " "" cdn laili GTTL cua khoanfienhien tai Td viee hieu ^J K(I + £ ± ; ) = I I 199000(1 + 12.1.69%), dd cie ydu tddin ddn cic SL niy cua SV • { LSttii^sumikhichhangphaichiulen td( r = 3,12%/ T&iltfutham khdo ttiing hictt/ongduong vdi LS 37,44%/him ddi vdi IIJBell, A - The Tookit team (199.'!) Uaming from ACS va tinh toin tt/ong tt/ ta cd r = 5,41%/ttiing mistakes and misconceptions: Gaining the skills A strategy in the Toolkit for Uie change Agents, MARS hay 64,92%/nim da vdi Home Credit Michigan Slate University Ciingquaketquaphieuhdi,ehrcd23% SVnghT [2] Freudenthal, H (I97.t) Mathematics as an ddn each giai khic eho bii toan,fijynhien cdng eh? educational task D Reidel, Dordrecht nghTddn cich giai, khdng cd S V nio cho ring edn [3] OECD (2009) The PISA 2009 Assessment edeic cich giai khac ni?a v i chf lim ttieo each m i Framework - Reading Mathematics and Science, OECD, Paris minh da nghTrattidau m ittidLMdffrongcic each [4] NguyJn Thi Tin An (2014) Sidling toin hpc hia gai khie niia cho bii toin dd la tinh giafrihidn tai dfphdi trifn cic ndng l\ic hifu bift dinh lugng cia cua CT eudi kibidn tldittieocap sdnhin sau finh hgc sinh ldp 10 Lu^n 4n titfn si, Tru*ng Dfli hpc Sir GTTL cua khoantidnvua tim duoc sau 12 ttiang ph9mTP.H(5 Chf Minh Ngoiira.70% SVfratoiphieu hoi cho iing eac em [5] Newman, M A (1977) An analysis of sixth-grade khdng bao gid d|t cie cau hdi tuong tt/ nhu cau pupils' errors on written mathematical tasks Vielorian daufrongphieu hdi Kdt qua kha phd hpp vdi kdtInstitute for Educational Research Bulletin, 39, pp 31-43 "^ qua dieuttacua Nguyen Thj Tin An (2014) vd vide [6] Ellerton, N F - Clements, M A (1997) Pencilhoc siih cd nam dupc quifrinhTHH gip finh and-paper mathematics tests under the microscope huoigttiucte hay khdng, cd 65^2% ha: sinh ch? Rotorua, NZ: Mathematics Education Research Group of Australasia ttiyc hien budc diu cua quafrinhTHH Phin tfch dfreneho ttii'y, da phan SV vin [7] Hodes, E - Nolting, P (1998) Winning chua ttiyc hidn tdt cic budc ciia qui frinh THH Mathematics? SBCC Mathematics Department Academic Success Press Oidu niy la S V ehua edttidiquenttiuchidn day (Xem tidp trang 53) 11 Tqpchi Gido due so 391 •(kll-10/2016) j),4 kho khan,fruuttiongmafrdnenttiathOufchddi vdi cac em, gdp phan tao ttiii hpc lap va nidm yeu ttifch mdn hoe • Tai lien tham khao 11 j Nguyen Nang Tam - Le Ngpc Son (2015) Day Ape Toan tifu hgc theo dinh hu&ng phdt irifn ndng luc Ki yeu H6i thao khoa hoc Dao tao va phat triln ngu6n nhan Iiic giao due ti^u hoc NXB H6ng Difc, tr 18.1-194 [2] NguySn Ti^n Trung (2015) B6l duOng vi phit Hinh San nha can Iat da hoa (phuemg an 2) trifn ndng luc lodn hgc cho hgc sinh tifu hgc T?p chl Khoa hpc, Truemg Dai hpc Su ph?m Hk Npi, sfl' _ Ciu hdi Gia suchpn phuong i n dettiiefke 8A, Vol 60, u^ 35-4.1 mat sin Em hay tinh toan xem nen muatoaigach [i] Teresita Bambico (200.3) Intervention Program nio dechi phi nhd nhat, vi sao? on the Use of Practical Work as a Teaching Strategy Ciu hdi2 G ia su chpn phuong an dettiietke In Elementary Scholll Mathematics: Its Effects on the mat sin Em hay tinh toan xem nen muatoaigach Teachers' Instructional Skills and Mathematical nio dd chi phi nhd nhat, vi sao? Ability Asia Pacific Education Review, Vol 4, No Phintich:KhifrakJiciu hdi va2,ttidngttiudng, pp 199-207 HS canxic d.oih dientichphan Iat gach, chia cho dien' |4] HoingPhe(chij bien)(l992) Tidlfn Tifng Vift tJch^Heg'^eh.rasd vien gaeh.Tuyviy,defra idi Trung tam lif diln ngOn ngil Hi Nfli c i ^ ^ ^ i p h i t i n h ttieo each dd, cdttiesd kdt [51 Trin Lujn (2011) Vi cdu tnic ndng lite lodn hgc 1" V P ^ I ^ p a c h khdng phai la sd nguyen) Liic ciia hgc sinh Ki ytfu Hpi thao QuO'c gia vi giio dgc nay,>IS"phaidoi mat vdi hai ciu hdi (van dd): Tinh sd toan hpc or trudng ph(5 thflng NXB Gi4o dgc Vi?l gach nhuttienao, ed lam frdn sd gach khdng?" v i Nam, u-87-100 "Khi dd, lit nen nhuttidnao?" Khi ijd cac nhdm se (6) NguySn Thj Phuemg Hoa (chu bien) - Va HSi Hi phai phin tfch,ttanhkiin frong nhdm, dedua dip (D6ng chu bien) - Nguyfn Thj Thu HS - Trin Hoing an G V cdttiehdfrpHS bing each dd xuit phuong Anh - Vo Thi Kim Chi - VQ Bao Chau (2014) PISA vi in sudung bangttiuttiapsdlieu vaxulittidngfinnhu nhitng vdn di giio due Vift Nam tip I - Nhang vdn di Chung vi PISA NXB Dai hpc Sir pham dudidiy: [7) TrSn Vui (2014) Cidi quyft vdn di thuc if Bang4 Bang diuttiap,xdSsdfiu vadanh gia ket qua dgy hgc Toin NXB Dai hpc Hul TSng (81 Bp GD-DT (2015) r«i/i < NXB Giio due Vi^t Nam Diin Uch s i viin Tinh loin diin si (91 Bp GD-DT (2015) Todn NXB Gitodgc ViJl Nam Thinh mOtviin gich cin U^gtch lich thOng (10) NguyJn Thj Kim Thoa (201.3) Thfrc hinh glil ein g»ch sit dung dnlit loin dtlfu hgc NXB D?i hpc Qufl'c gia Ha Npi 30cnn30cni SOcmxSOcm Kit kiin: Ket luan (Tiep theo trang 60) Phuong phip day hpc ttiyc hinh ne'u dupc ap dyng hpp lifixingday hpc toan ndi ehung va day hpe [8] Khalo, X - Bayaga A (2014) Underlying factors gial toan cd kJi van ndiriengsephitttienNL vin dung related lo errors In financial mathematics due to toin hpc viottiycfidncho HS Hpc tipfrongnhiing incorrect or rigidity of thinking TD The Journal for linh hud'ng dupcttiietkd nhu tren, HS cdttiedung Transdisciplinary Research in Southern Africa 10(3) kiehttiiJc,kTnang toin hpc ma em biet de giaiquyet pp 340-354 nhiJng van dettongcudc sdng, hoic if cung rat gan [9] Makonye, J.P Weitz, M - Parsotam, B (2014) giii vdi cupe swig Nhiing tinh hudhg, van de dua Preparing to teach grade 12 financial mathematics: learning cho HS khdng chiydu ciu cae em phai tinhtoanma A case study of student teachers' cdn phai bidt phan tfch, lya chpn rdi mdi dua den vide experiences Proceedings of Ihe 20lh Annual National ttiyc hipn cic pheptt'nh.Tddd mdn Toin khdng cdn Congress of the Association of Malhematics Teachers of South Africa (pp 205-206) Kimberly: Amesa (ki -10/2016) _ Tap chi Giao due so 3911 sa ... 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