GeoGebra, imathematika ekuhambeni

geogebra Isoftware ijiyometri enamandla, Oko kukuthi, kuvumela ukwenza ulwakhiwo lwejiyometri kwaye kubanike ubomi (funda «baphile») ukwenzela ukuba benze oko kungekuphela nje ukufikelela kulwazelelelo ngejometri kodwa nokuthwala ukusebenza okunzima kunye nokulinganisa nokuba ivela kwezinye iindawo ze IMathematics okanye ezinye iindlela ezinje IPhysics okanye Qoqosho.

Ngamanye amaxesha bayandibuza ukuba kutheni ndigqibe ekubeni ndifunde iMathematics kwaye ipanorama iba yinto ephindaphindayo. Ndizama ukucacisa ukuba zeziphi izizathu ezilula nezinyanzelekileyo: ndingathini ukungayithandi iMathematics ukuba kuyo unokuyiqonda ubuhle obumangalisayo-obuthobekileyo kodwa obugqithisileyo-, ukuba ingumnini wenyaniso notitshala wobungqongqo nocwangco, ukuba Ufundisa ukucinga, ukunxibelelana kunye nokuyila (…)?: Kodwa emva kwemizuzu embalwa apho ndizama khona ngendlela engaphaya kwawomntu ukwenza umntu ondincedisayo aqonde ubuncinci esinye sezizathu zam, uyangxama ukutshintsha umxholo. Ukuba umthetho we-avareji uyinyaniso, bambalwa kakhulu kuthi abathanda iMathematics ukuya kuthi ga kwinqanaba lokuba siyenze eyona nto iphambili kuthi. Nangona kuyinyani ukuba kunzima kakhulu "kumfundi wangoku" ukuba afumane olo hlobo lukhethekileyo okanye enyanisweni ukuze aqonde ngokupheleleyo inxenye enkulu yesigubungelo esikhulu esigubungelayo, konke oko akukalahleki. Isoftware enomdla yemathematics ivela eFrance: GeoGebra "ukubeka isifuba" kulomceli mngeni.

I-GeoGebra yinkqubo eguqukayo yejiyometri, oko kuthetha ukuba ngayo sinako ukuvelisa ulwakhiwo ukusuka kumanqaku, kumacandelo, kwimigca, njl. kwaye uphilise ukuba baphinde baphinde baqulunqe iindlela ezahlukeneyo zejiyometri kwaye ke bafunde ngcono okanye bafundise bhetele iikhonsepthi ezinqwenelekayo. Kodwa ayipheleli apho; ikwalawula ukubala kunye ne-algebra ngaphakathi kwendalo efanayo.

Izinto zinokungeniswa nokuba ucofe isikhombisi kwimbonakalo yemizobo okanye uhlalutyo kwikhonkco elula kodwa esebenzayo. Isixa sezixhobo esisebenza ngeGeoGebra ukulawula izinto siyamangalisa kangangokuba akukho nto ibalekileyo kubaphuhlisi bayo (ekhokelwa nguMarkus Hohenwarter) ukuya kwinqanaba lokuba ayisiyibaxi into yokuba nantoni na enokuqikelelwa kwi-2D inokwenziwa kwiGeoGebra.

Kodwa i-GeoGebra iyaqhubeka nangakumbi: oopopayi abazenzekelayo kunye nemiboniso inokwenziwa, ulwakhiwo lwayo lunokuthunyelwa ngaphandle kwiifomathi eziluncedo ezinje ngePNG, oopopayi be-GIF, i-EPS, iPDF, iPsTricks (ewe, ithumela ngaphandle ikhowudi yeLaTeX !!!), phakathi kwabanye .; kwaye nezinto zangaphandle (ezinjengemifanekiso) zinokungeniswa ngaphakathi kwaye zibandakanyeke kulwakhiwo lwemathematika.

Ujongano lwayo lulula kakhulu kwaye luyathandeka. Kuyo sifumana umbono wejiyometri, umbono wealgebra kwaye, ukuba unqwenela, umbono wespredishithi.

Le yiGeoGebra idlala nezinye iikhonsepthi eziqhelekileyo ze-Euclidean geometry (ii-bisectors zamacala kunye neesekethe):

Apha ngezinto ezithile zokubala (umsebenzi we-sine, isiphumo sayo, ukudityaniswa kwayo ukusuka kwi-zero ukuya kwi-pi kunye nokuqikelelwa kusetyenziswa uthotho lukaTaylor):

Apha ukwenza ulinganiso lweFiziksi (isipili sesipili esibonisa)

Amandla weGeoGebra anokwanelisa nabaphi na abaphulaphuli balo naliphi na inqanaba. Ukuba umsebenzisi ufuna njalo, unokumela-ukuba uzimisele ukufumana inqanaba eliphezulu ekusingatheni inkqubo-iziqhekeza kunye nezinto kunye nokulinganisa kwi-3D (nokuba yayiyilelwe i-2D !!!).

En http://www.geogebratube.org/?lang=es Kukho indawo yogcino-lwazi enkulu yeeprojekthi ezenziwe ngabantu abaninzi abanomdla kule nkqubo, bahlelwa ngokwamacandelo kwaye ezinye zazo zinomdla ngokwenene.

Inguqulelo yangoku yeGeoGebra yi-4.0.32.0 kwaye yimfuno eyaziwayo, yenguqulo yesi-5 yenkqubo apho sele izakubakhona indawo eyongezelelweyo, elula kodwa enamandla yokwenza yonke into onokuyicinga nge-3D (i-beta sele ikho kwaye ithembisa okuninzi).

Ukufumana iGeoGebra, jonga nje umphathi wephakheji ye-distro yakho kwaye kunokwenzeka ukuba le nkqubo icofe kanye kuphela. Ukuba akusiyo imeko yakho, kwiwebhusayithi esemthethweni yeprojekthi http://www.geogebra.org/cms/es ungafikelela kwiiphakheji kunye nemiyalelo yokongeza iifom zokugcina.

Andifuni ukuthatha ixesha elingakumbi kuwe, mfundi othandekayo ke ndiyathemba ukukukhuthaza ukuba ujonge iMathematics ukusukela ngoku ngamehlo ahlukeneyo enkosi kwiGeoGebra. Ukuba sele uyithanda le ndawo intle yolwazi, ndiyavuyisana nawe; Kodwa ukuba ayisiyonyani le, nikeza iGeoGebra ithuba ukuze ngayo uqonde ukuba olu qeqesho lumangalisa kangakanani ukuba uGalileo omkhulu wachaza "njengelwimi loMhlaba".