coor-plus ganitha padhathi

naashanal sayans foundeshante dhanasahaayathode vestten mishigan sarvakalaashaalayile coor-plus mathematics project (sii. pii. emm. pii) vikasippichedutha print, digital vidyaarthikalude paatapusthakangaludeyum adhyapakarkkulla pinthunaa saamagrikaludeyum naalu varshathe parambara ulkkollunna oru haiskool ganithashaasthra paripaadiyaanu coor-plus mathematics. 1992ll prograaminte vikasanam aarambhichu. "samakaalika ganitham sandarbhathil oru ekeekritha sameepanam" enna thalakkettil aadya pathipp 1995ll poortthiyaayi. "coor-plus mathematicsa samakaalika ganitham sandarbhathil" enna thalakkettil moonnaamathe pathipp 2015ll mcgra-hill ejyukkeshan prasidheekarichu.
pradhana savisheshathakal.
coor-plus maathamaattiksinte" aadya pathipp roopakalppana cheythath ganithashaasthra adhyaapakarude deseeya kaunsilil ninnulla paatyapadhathi, adthyaapanam, moolyanirnnaya maanadandangal enniva paalikkunnathinaan, deseeya gaveshana kaunsil reportil paranjirikkunna vishalamaaya lakshyangal, "ellaavarum kanakkaakkunnu ganitha vidyaabhyaasathinte bhaaviyekkurichulla raajyathin oru report". american stattistikkal association "statistiks vidyaabhyaasathile moolyanirnnayathinum prabodhanathinumulla maargganirddeshangal" (guyse), ettavum aduthide "ganithashaasthrathinulla kooman coor stettu staanderds" (ccssm) leeii ganitha ulladakkathinum parisheelanathinumulla maanadandangal enniva paalikkunnathinaan pilkkala pathippukal roopakalppana cheythath.
ganithashaasthra modalingiloodeyum ganithashaasthra anweshanathiloodeyum ganithashaasthram padippikkunnathinum padikkunnathinum prograam oonnal nalkunnu. oro varshavum, vidyaarthikal parasparam bandhapetta naalu strandukalilaayi ganithashaasthram padikkunnu beejaganithavum pravartthanangalum, jyamitiyum trikonamithiyum, sthithivivarakkanakkukalum saadhyathayum, vyathirikthamaya ganitha modeling.
aadya pathipp (1994-2003).
9 muthal 11 vareyulla klaasukalil padippikkaan uddeshichulla moonnu kozhsukal ulppedunna eee prograamil pinneedu, koleju vidyaarthikalkkaayi uddeshichulla naalaamathe kozhs rachayithakkal chertthu.
randaam pathipp (2008-2011).
beejaganithathinteyum pravarthanangaludeyum parasparam neytha izhakal, jyamitiyum trikonamithiyum, sthithivivarakkanakkukalum saadhyathayum, vyathirikthamaya ganithavum ennivaye chuttippattiyaan kozhs punakrameekarichathu. paata ghadana naveekarikkukayum "sii. pii. emm. pii-tools" software ulppedeyulla saankethika upakaranangal avatharippikkukayum cheythu.
sii. sii. ezz. ezz pathipp (2015).
kozhs kooman coor stettu staanderds (sii. sii. ezz. ezz) ganithashaasthra sanbradaayangalumaayum ulladakka pratheekshakalumaayum krameekarichirikkunnu. vipuleekarikkappettathum mechappeduthiyathumaaya adhyapaka guideukalil oro yoonittiloodeyum oru sii. sii. ezz. ezz pathayum oru sii. pii. emm. pii pathayum ulppedunnu. kozhs 4 rund pathippukalayi vibhajichu onnu stem-ooriyantad vidyaarthikalkkaayi "calculasinulla thayyaareduppu" ennum, oru badal kozhs, "koleju mathematics aandu staattistiksilekkil parivartthanam" (tii. sii. emm. ezz), koleju vidyaarthikalkkaayi, patana paripaadikku calculus aavasyamilla.
vilayiruthalukal, gaveshanam, avalokanangal.
ulladakka vishakalanangal, cases padanangal, sarvekal, cheruthum valuthumaaya thaarathamya padanangal, gaveshana avalokanangal, oru rekhamsha patanam ennivayulppede "coor-plus mathematics" enna vishayathekkurichulla project, swatantra vilayiruthalukalum niravadhi gaveshana padanangalum nadathiyittundu.
anukoolamaaya avalokanangal.
aashayaparamaaya dhaarana, prashnapariharam, prayogangal ennivayude vilayiruthalukalil "coor-plus mathematics" upayogikkunna vidyaarthikal thaarathamyam cheiyunna vidyaarthikale apekshichu ganyamaayi mikacha prakadanam kaazhchavaykkunna onniladhikam gaveshana padanangalum moolyanirnayangalum undu, koodaathe bye-hand kanakkukoottal kazhivukalude vilayiruthalukalil prakadanatthinaayi phalangal mishramaayirunnu. eee padanangalil chilathinu dhanasahayam nalkiyathu "coor-plus mathematics" prograaminte vikasanathinu dhanasahayam nalkia athe samghadanayaaya naashanal sayans foundeshanaanu.
valia thothilulla thaarathamya padanangal.
coor-plus mathematics", kooduthal parambaraagatha paatyapadhathi ennivayekkurichulla moonnu bhaagangalulla patanam misauri sarvakalaashaalayile gaveshakar report cheythu. secondary ganithashaasthrathile thaarathamya oopshanukal paatyapadhathi anweshikkal" padhathiyude bhaagamaayi nadatthiya gaveshanam, reck-0532214 nuu keezhil deseeya shaasthra foundeshan pinthunayode. "jenal phoor research inn mathematics ejyukkeshan" enna maasikayude march, juulai 2013 lakkangalilum "internaashanal jenal oof sayans aandu mathematics ejyukkeshan" enna jenalinte desember 2013 lakkathilum gaveshanam report cheythu. bhoomishaasthraparamaayi vyaapichukidakkunna 5 samsthaanangalile skoolukalile vidyaarthikalude nettangal moonnu padanangalum parishodhichu. aadya padanatthil onnaam varsha haiskool ganithashaasthra kozhsukalile 10 skoolukalile 2,161 vidyaarthikalum randaam varsha ganithashaasthra kozhsukalile 11 skoolukalile 3,258 vidyaarthikalum moonnaam padanatthil 10 skoolukalile 2,242 vidyaarthikalum moonnaam varsha ganithashaasthra kozhsukalil ulppettirunnu. aadya padanatthile phalangal kaanikkunnath "coor-plus mathematics" vidyaarthikal varshavasaana phala nadapadikalil moonnu kaaryangalilum ganyamaayi uyarnna score nedi ennaanu pothuvaaya lakshyangalude parisodhana, prasnaparihaaravum yukthisahamaya parisodhanayum, oru staanderd acheevment testt. randaamathe padanatthile phalangal kaanikkunnath "coor-plus mathematics" vidyaarthikal mattu nadapadikalil vyathyaasangalonnumillathe oru staanderd acheevment testtil ganyamaayi uyarnna score nedi ennaanu. moonnaamathe padanatthile phalangal kaanikkunnath "coor-plus mathematics" vidyaarthikal pothuvaaya lakshyangalude parisodhanayil ganyamaayi kooduthal maarkk nedi, mattu alavukalil vyathyasangalonnumilla.
mattu thaarathamya padanangal.
coor-plus mathematics" enna kruthiyude rund rachayithakkalaaya scone hirsh nadatthiya oru padanatthil, "coor-plus mathematics" enna aadyakaala pathippukal upayogikkunna vidyaarthikal paper-pensil beejaganita kazhivukal ozhikeyulla ellah alavukalilum parambaraagatha single-subject paatyapadhathiyilullavarkal mikachatho mikachatho aanennu report cheythu.
naashanal sayans foundeshanil ninnulla graant (award emm. dii. aarr 9255257) pinthunayode 2000-ll "jenal phoor research inn mathematics ejyukkeshanil" prasidheekaricha "coor-plus mathematics" nte feeld-testt pathippukal upayogikkunna vidyaarthikal aashayaparamaaya daaranayudeyum prashna parihaaratthinteyum parisodhanakalil ganyamaayi mikacha score nediyathaayum parambaraagatha prograamukalile beejaganita II vidyaarthikal paper-aandu-pensil nadapadikramangalude parisodhanayil ganyamaayi mikacha score nediyathaayum report cheythu.
coor-plus mathematics" vidyaarthikal kooduthal parambaraagatha prograamukalil ninnu padicha vidyaarthikale apekshichu edapazhakal, aakamksha, ashayavinimayam, vazhakkam, jijnjasa thudangiya gunangal valare uyarnna thalatthil prakadippichathaayi mattu padanangal report cheythu. 2008-leeii gaveshanathinte oru avalokanam, ganithashaasthrathinte kooduthalum staanderd cheytha testtukalil "coor-plus mathematics"-nuu mithamaaya falangalundennu nigamanam cheythu.
nyoonapaksha vibhaagangalile vidyaarthikalude nettangale sambandhichidatholam, "coor-plus mathematics" upayogichu praathinidhyam kuranja grouppukalil ninnulla vidyaarthikalude prakadanam rekhappeduthunna oru aadyakaala piyar-review paper report cheythath, oro kozhsinteyum avasaanam, kozhs 2, kozhs 3, ellah nyoonapaksha grouppukalileyum (aafrikkan amerikkakkar, eshyan amerikkakkar, hyspanics, thaddesheeya/alascan amerikkakkar) "coor-plus mathematics" vidyaarthikalude staanderd ganithashaasthra netta pareekshakalekkurichulla poost testt maarggam ore pretest thalangalile deseeya maanadanda grouppinekkaal valuthaayirunnu. oro kozhsinteyum avasaanathil hyspanics testtinu sheshamulla nettangalkkaayi ettavum valia pretest nadatthi. coor-plus mathematics" upayogikkunna hyspanic haiskool vidyaarthikal mattu janasamkhyaa pashchaathalamulla vidyaarthikalude prakadanavumaayi thaarathamyappeduthumbol mithamaaya nettamundakkiyathaayi pilkkaalatthe oru thaarathamya patanam report cheythu.
kolejilekkulla thayyaareduppine sambandhichidatholam, "coor-plus mathematics" vidyaarthikal saattilum aakttilum vidyaarthikale thaarathamyam cheiyunnathinekkaal mikacha prakadanam kaazhchavechathaayi saatt, aakt testt phalangalude padanangal report cheythu. vividha haiskool paatapusthaka parambarakal upayogicha vidyaarthikalude thudarnnulla koleju ganithashaasthra prakadanam niravadhi padanangal parishodhichu. koleju ganithashaasthra kozhsukalile sthaananirnayathilo thudarnnulla prakadanatthilo kozhs edukkunna reethikalilo haiskool paatyapadhathiyude vyathyasthamaaya phalangalonnum eee padanangal kandethiyilla.
prabodhana saamagrikaludeyum paripaadikaludeyum avalokanangal.
swatantra laabhechayillaatha edreports, keey-12 prabodhana saamagrikalude thelivu adisthaanamaakkiyulla avalokanangal aduthide poortthiyaakki. coor-plus mathematics kozhsukal 1-3 vishakalanathil, moonnu varshathe coor prograam ulladakkam, focus, coherance ennivayude kaaryatthilum karkkashathinteyum ganithashaasthra reethikaludeyum kaaryatthilum ganithashaasthrathinte haiskool pothu coor stettu staanderdukalumaayi vinyasikkunnathinulla prathekshakal niravettunnathaayi kandethi. coor-plus mathematics prabodhana saamagrikalum metteeriyalukal nannayi roopakalppana cheythittullathum phalapradamaaya paata ghadanayum vegathayum prathifalippikkunnathum edriport maanadandangal paalikkunnu.
johns hopkins sarvakalaashaalayile vidyaabhyaasa parishkaranathekkurichulla gaveshana kendram nadatthiya aazhathilulla vishakalanathil, coor-plus ganithashaasthrathinu "mithamaaya" thelivu rating nalki, vidyaarthikalude nettangal prothsaahippikkunnathil thelivinaayi federal essa maanadandangal paalikkunnathinayi eathu thalatthilum (sakthamaaya, mithamaaya, allengil vaagdaanam cheiyunna) rettucheyyunna oreyoru samagramaya moonnu varshathe haiskool ganithashaasthra paripaadiyaanithu.
mattu gaveshana padanangal.
coor ulladakka vikasanathinte kaaryatthil, corian deseeya paatyapadhathiyileyum "coor-plus maathamaattiksileyum" quadratic samavaakyangalude vikasanam thaarathamyam cheytha oru padanatthil chila quadratic samavaakya vishayangal corian paatapusthakangalil neratthe vikasippichathayi kandethi, athesamayam "coor-plus mathematics" ll vishadeekaranangal, vividha praathinidyangal, uyarnna vaijnjaanika aavasyam enniva aavasyamulla kooduthal prasnangal ulppedunnu.
niravadhi padanangal "coor-plus mathematics" ll adhyaapakante punk vishakalanam cheythittundu.
negatteevu avalokanangal.
1999 novemberil north ridjile california stettu yooniversittiyile ganithashaasthra professoraaya david clain yuu. esinu oru thuranna kathu ayachu.ezz. yuu. esinu marupadiyaayi vidyaabhyaasa vakupp.ezz. coor-plus mathematics" enna padaviyulla ganithashaasthrathilum shaasthrathilum vidyaabhyaasa vakupp vidagdha samiti "maathrukaaparamaaya" ganitham "ennu namakaranam cheythu."" "coor-plus mathematics" "ulppede niravadhi parishkarana ganithashaasthra paripaadikalude shupaarshakal pinvalikkanamenn kleyininte thuranna kathil vidyaabhyaasa vakuppinodu abhyarthichu". abhyarthichu" american shaasthranjarum ganithashaasthranjarum eee kathil saha-oppuvachu.
propha. thuranna aksharam vimarshicha ganithashaasthra prograamukalkku pothuvaaya savisheshathakalundennu clain vaadikkunnu avaa daatta vishakalanathinum sthithivivarakkanakkukalkku amithamaayi oonnal nalki, athesamayam ganithathinteyum beejaganithathinteyum kooduthal pradhanappetta mekhalakalkku oonnal nalkiyilla. unnathala chinthaaprakalpangalil" palathum lakshyarahithamaya pravarthanangalaayi maari. prograamukal electronic calculatorukalil aakrishtaraayirunnu, adisthaana kazhivukal avahelikkappettu.
prathyekichum, "parambaraagatha beejaganithatthinte valare aazhamillaatha coverage uyarnna sandarbhochithamaaya srishtiyil shradha kendreekarikkukayum cheythathinu" "coor-plus mathematics" vimarsikkappettu.
aarr. stanford sarvakalaashaalayile ganithashaasthra professoraaya jaims milgram, mikacha prakadanam kaazhchavaykkunna haiskoolile vidyaarthikalil prograaminte swaadheenam vishakalanam cheythu. milgram anusarichu, "...aakt skorukal, saatt kanakk skorukal, koleju ganitha kozhsukalile gradeukal, vidyaarthikal kandumuttya koleju ganitha kozhsukalude nilavaaram, thaarathamya groupine marikadakkaan sramikkuka (kooduthal parambaraagatha prograam upayogichirunna) thudangiya alavukalonnum sarveyil prathinidheekarichirunnilla."
andover haiskool sarway.
coor-plus pareekshicha aadyathe skoolukalilonnu mishiganile bloomfield hilsile andover haiskoolaayirunnu, ithu amerikkayile "100 mikacha" haiskoolukalil onnaayirunnu. 1994ll parambaraagatha ganithashaasthram nirthukayum coor-plus ganithashaasthram upayogikkaan thudangukayum cheythu.
1997ll andover birudadhaarikalil nadatthiya oru sarveyil sarway thirike nalkia 96 sathamaanam vidyaarthikalum kolejile "remedial maathamaattiksil" thangal ulppeduthiyathaayi kandethi. ayal skoolile sarveyil pankeduttha 62 sathamaanam vidyaarthikalum collegil remedial kanakk padichu. oru koottam maathaapithaakkalude pravartthanam oru parambaraagatha ganitha oopshan vaagdaanam cheiyunnathilekku madangivaraan kaaranamaayi. 2000 aayappozhekkum andoverile pakuthiyolam vidyaarthikalum coor plus edukkukayum backie pakuthi parambaraagatha kanakk edukkukayum cheythu.
coor plus ettavum mosham ganitha prograamukalilonnaane avarude samayam paazhaakkunnathaanennum vidyaarthikal sarveyil abhiprayappettu. adisthaanakaaryangalonnum padippikkappedaathil avar vilapichu, bhooribhaagavum koleju ganitha kozhsukalil durithamanubhavikkukayaanu". koleju kanakk manasilakkaan avar "poornnamaayum thayyaaraakaatha" avasthayilaayirunnu.
svayam thiranjeduttha sample, svayam report cheytha daatta, pakshapathaparamaaya sarway reethikal enniva ulppeduthiyathinu sarway patanam vimarshikkappettittundu. athe samayam mishigan sarvakalashaala rajistraar nalkia daatta soochippikkunnathu mishigan sarvakalaashaalayile collegiat ganithashaasthra kozhsukalil coor-plasinte birudadhaarikal parambaraagatha ganithashaasthra paatyapadhathiyile birudadhaarikalekkaal mikachatho mikachatho aanennaan. pinneedu nadanna oru padanatthil (chuvade kaanuka), paatyapadhathi nadappaakkunnathu purogamikkumbol mishigan stettu yooniversittiyil praveshikkunna coor-plus paatyapadhathiyile birudadhaarikal kooduthal thaazhnna thalatthilulla ganitha kozhsukalil praveshichathaayi kandethi. roopakalppanayile pizhavukalkkum daatta pinthunaykkaattha nigamanagalil athicherunnathinum eee padanavum prasidheekaricha report vimarshikkappettittundu.
mishigan stettu yooniversittiyil cherunna coor-plus vidyaarthikalude oru patanam.
2006ll richard oo. hill aandu thomas echu. adutha sarvakalashaala ganithashaasthrathinaayi vidyaarthikale thayyarakkunnathil coor-plus ganithashaasthra padhathiyude falaprapti mishigan stettu yooniversittiyil (emm. ezz. yuu) ninnulla parker vilayiruthi. aarr. hill aandu tii. tii 1996num idayil coor-plus mathematics prograam nadappaakkiya naalu haiskoolukalil ninnu emm. ezz. yuvil ethiya vidyaarthikalude koleju ganitha rekhakal parker vishakalanam cheythu. keey-12 vidyaabhyaasathil vidyaarthikal abhimukeekarikkunna ganitha pratheekshakalum collegil avar abhimukeekarikkunnavayum thammil oru "vichedanam" avar kandethi. coor-plasinteyum mattu enn. ezz. eph. dhanasahaayathodeyulla haiskool paatyapadhathi paripaadikaludeyum falaprapti koleju ganitha adhyaapakarkk oru pradhana prashnamaayi maari.
coor-plus vidyaarthikale thaazhnna thalatthilulla kozhsukalil ulppeduthukayum avayil cherukayum cheiyunnu. oduvil oru saankethika calculus kozhsil vijayikkunna vidyaarthikalude sathamaanam oru varsham sharashari 27 sathamaanam ganyamaaya idivu kaanichu; eee pravanathaykkoppam thaazhnna thalatthilum parihara beejaganita kozhsukalilum praveshicha vidyaarthikalude sathamaanathil vyakthavum sthithivivarakkanakkilum ganyamaaya vardhanavundaayi. chila mikacha vidyaarthikal ozhike, coor-plus ganithashaasthra birudadhaarikal sharashari gradukalekkaal kuravu nedunna koleju ganithashaasthrathil budhimuttukayaayirunnu. coor-plus kanakk nadappaakkunnathinu munbu kantrol groupile birudadhaarikalekkaalum (paatyapadhathiyude vishalamaaya mishrithathil ninnu vannavar) allengil swantham haiskoolukalile birudadhaarikalekkaalum avar nannayi thayyarayirunnilla.
propha. haral.
2009ll saan diegoyile california sarvakalaashaalayile ganithashaasthra professoraaya garshon harrell naalu haiskool ganithashaasthra prograamukal avalokanam cheythu. pareekshicha prograamukalil coor plus kozhsukal 1,2,3 enniva ulppedunnu. pareeksha beejaganithatthile rund vishayangalilum jyaamithiyile oru vishayathilum shradha kendreekarichu, propha. haiskool paatyapadhathiyude kendrabinduvaanu. eee vishayangal yojicha reethiyil vikasippicheduthathaane poornnamaayum ulkkollunnuvennum ganithashaasthraparamaayi sariyaanennum vidyaarthikalkku ganithashaasthrathil kooduthal padanatthinu sakthamaaya adithara nalkunnuvennum urappaakkaanaan pareeksha uddeshichathu".
thudakkam muthal propha. coor-plus prograamile ulladakka avatharanam asaadhaaranamaanennu harrell abhiprayappettu, kaaranam athinte prabodhana unitukal, thudakkam muthal avasaanam vare, "yadhaartha jeevita" saahacharyangal ulppedunna vaakk prasnangalaal nirmmichathaanu. eee ghadana coor-plus seereesinte upasheershakathil prathifalikkunnu "sandarbhathil samakaalika ganitham". prograam avalokanam cheiyunnathinu, coor yoonittukalile ellah prashnangaliloodeyum adhyaapakante pathippile avayumaayi bandhapetta metteeriyalukaliloodeyum kadannupokendathu aavasyamaanu. paarambaryethara paatapusthaka ghadana undaayirunnittum, coor-plus prograam upayogikkunna bhasha ganithashaasthraparamaayi mikachathaayi kandethi.
beejaganita vibhaagathil, quadratic formula ozhike, leanier functionukaleyum quadratic functionukaleyum kurichulla adisthaana sidhaanthangal nyaayeekarikkappettille kandethi. sidhaanthangal palappozhum thelivukalillaathe avatharippikkappedunnu.
beejaganita grandhangalilennapole, jyamiti paatam padippicha metteeriyalinte vyakthamaaya yukthisahamaya gadanayilekku nayikkunnilla. saidhaanthikamaaya karyangal prashnangalude vaachakathinullil maranjirikkunnathinaal, "oru adhyaapakan ellah nirnaayaka prashnangalum thirichariyukayum avashya ganitha purogathi sthaapikkunnathinu uddeshicha ghadana munkootty ariyukayum venam. gruhapaata vibhagangalil niravadhi nirnaayaka prasnangal prathyakshappedunnathinaal eee dauthyam kooduthal sankeernamaanu. jyaamithiyile pradhana sidhaanthangal nyaayeekarikkappedunnil. mathramalla, metteeriyal krameekaricha reethiyil, eee sidhaanthangalil chilath nyaayeekarikkan kazhiyilla ".
pro. coor-plus prograam aaya harrell "aaplikkeshan prasnangal pariharikkunnathilum modeling functionukalude vividha bhaagangalude ardham vidyaarthikal manassilaakkunnuvenn urappaakkunnathilum dhaaraalam anubhavam nalkunnathil mikavu pulartthunnu. padippikkunna ganithashaasthrathe sandarbhavalkkarikkukayenna dauthyathilum prograam mikavu pulartthunnu. ennirunnaalum, "haiskool vidyaarthikalkku praapyamaayirikkendathum saadhyamaayathumaaya nirnaayaka ganithashaasthra ashayangalum ashayangalum" ariyikkunnathil ithu paraajayappedunnu.
propha. vilson.
professor dablyu. johns hopkins sarvakalaashaalayile steefan vilson 2009-ll coor-plus prograaminte ganithashaasthra vikasanavum yojip vilayiruthi. prathyekichum, "rekheeya pravarthanangalumaayi bandhapetta beejaganita ashayangalum kazhivukalum avaa beejaganithathekkurichulla kooduthal padanatthinu nirnaayaka aditharayaayathinaal" addeham parishodhichu, koodaathe oru trikonatthinte konukalude aakethuka 180 digri aanenna sidhaantham prograam engane avatharippikkunnuvennu vilayiruthi ", ithu euclidean jyaamithiyude adisthaana sidhaanthamaanu, ithu jyaamithiyile pala adisthaana gadakangaleyum parasparam bandhippikkunnu.
propha. prograaminte beejaganita bhaagatthinte pradhana prameyathil daattayil ninnu oru table srishtikkunnathum table ninnu pooyintukal graafukal cheiyunnathum ulppedunnuvennu vilson abhiprayappettu; table vidyaarthikalodu anubandha pravartthanam kandethaan aavashyappedunnu. leanier functionte kaaryatthil, "oru ghattathilum samavaakyathinte graph yadhaarthathil oru variyaanennu kaanikkanulla sramam nadakkunnilla. athupole, oru line graph oru rekheeya samavaakyathinte saadhaarana roopathil ninnaan varunnathennu kaanikkan orikkalum sramikkunnilla. propha. eee sameepanathe "ganithashaasthra aditharayile oru pradhana poraayma" aayi vilson kanakkakki.
paatapusthakatthe udharichu, "x, y ennee rund veriyabilukalumaayi bandhapetta leanier functionukal pattikakal, graafukal, pratheekathmaka niyamangal allengil vaakkalulla vivaranagal enniva upayogichu prathinidheekarikkam", propha. eee prasthavana shariyaanenkilum, "beejaganithatthinte saaraamshathil chinnangal upayogichu amoorthamaakkal ulppedunnu" ennu vilson vilapikkunnu.
propha. coor-plus prograaminu "niravadhi nalla prashnangalundenkilum rekheeya pravartthanangalude ganithashaasthrathinte kaathal orikkalum vikasippikkunnillenna vilson parayunnu. prasnangal sandarbhangalil sajjeekarichirikkunnu, ganithashaasthram thanne anweshikkaanulla niyamaanusritha samrambhamaayi apoorvvamaayi maathrame kanakkaakkappedunnulla. pratheekathmaka beejaganitam kuraykkunnu" enna nilayilekku beejaganita krithrimathvathilekku prograaminu shradha illa.
jyamiti bhagathekkurichu propha. ganithashaasthraparamaayi mikachathum yojichathumaaya reethiyil aditharayil ninnu jyamiti nirmikkunnathil prograam paraajayappedunnuvennu vilson nigamanam cheiyunnu. oru jyamiti kozhsinte oru pradhana lakshyam yukthi padippikkuka ennathaanu, eee prograam aaa kaaranathaal paraajayappedunnu" ennu addeham oonnipparayunnu.
mothatthil, "jyaamithiyude asveekaaryamaaya swabhaavavum" prograam "beejaganita ghadanayum kazhivukalum" kuraykkunna reethiyum coor-plus prograamine asveekaaryamaakkunnu.
charitraparamaaya vivaadangal.
vivaadangal enn. sii. tii. emminte paatyapadhathiyeyum school ganithashaasthrathinte moolyanirnnaya maanadandangaleyum adisthaanamaakki vikasippichedutha "coor-plus mathematics" polulla ganithashaasthra paripaadikal kooduthal parambaraagatha ganithashaasthra prograamukalil ninnulla vyathyaasangal kaaranam vivaada vishayamaayirunnu. coor-plus maathamaattiksinte" kaaryatthil, (eiii) paatyapadhathiyude anthaaraashtra polulla samyojitha swabhaavathekkurichu charchakal nadannittundu, athil oro varshavum vidyaarthikal parambaraagatha yuu ennathinu vipareethamaayi beejaganitam, jyamiti, sthithivivarakkanakkukal, probability, vyathirikthamaya ganitha modeling enniva padikkunnu.ezz. oro varshavum oru vishayam maathram padikkunna paatyapadhathi, (bii) vidyaarthikalkku parambaraagatha beejaganita kazhivukal vendathra vikasippikkanaakillena aashanka, (sii) vidyaarthikalkku colleginu vendathra thayyaareduppu undaakillenna aashanka, (dii) adhyapaka prabhaashanatheyum prakadanatheyum kurachum anweshanam, sandarbhochithamaaya krameekaranangalil prashnapariharam, vidyaarthikalude sahakarana pravartthanam ennivaye kooduthalaayi aasrayikkunna oru prabodhana reethi.
udaaharanathinu, eee charcha 2000-kalude thudakkathil minnesotta chila schoolukal "coor-plus mathematics" upekshichu parambaraagatha ganitha paatyapadhathiyilekku madangunnathilekku nayichu. akkaalathe oru birudaananthara biruda gaveshana prabandhatthil, "coor-plus mathematics" upekshicha naalu skoolukalile adhyapakarumaayulla abhimukhangal soochippikkunnathu pala adhyapakarkkum "coor-plus maasttaring kazhivukalkk vendathra oonnal nalkunnuvennu thonniyittilla", athesamayam maathaapithaakkalkk "ithu vidyaarthikale colleginu thayyarakkunnillennu thonni", chila maathaapithaakkal eee vaachakam vaayikkaan budhimuttaanennu abhiprayappettu. datthedukkal prakriya thidukkathil nadatharuthu", "ellaavarkkum thudarchayaaya professional vikasanam", "school jillakal rakshaakarthru chodyangalil sajeevamaayirikkendathu" ennivayulppede eathenkilum puthiya metteeriyalukal vijayakaramaayi sweekarikkunnathinulla nirddeshangal prabandhatthinte rachayithaav nalki."

