GeoGebra, mathematics in motion

I-GEOGEBRA isoftware ye- i-geometry enamandla, okusho ukuthi, kusivumela ukuthi sakhe izakhiwo zeJiyomethri futhi sibanikeze impilo (funda "baphile") ukuze bangagcini nje ngokuqonda kahle i-geometry kepha futhi nokwenza ukusebenza okuyinkimbinkimbi nokulingisa noma kwezinye izindawo ze- Math noma eminye imikhakha efana ne- I-physics noma i Umnotho.

Kwesinye isikhathi bayangibuza ukuthi kungani ngithathe isinqumo sokufunda iMathematics kanti i-panorama iba yinto ephindaphindayo. Ngizama ukuchaza ukuthi yiziphi izizathu ezilula futhi ezinamandla kimi: ngingahlala kanjani ngingayithandi iMathematics uma kuyo ungathokozela ubuhle obubabazekayo - obunesizotha kepha obugqamile - uma ingumnikazi weqiniso futhi enguthisha wokuqina nokuhleleka, uma ifundisa cabanga, xhumana futhi ube nobuciko (…)?: Kepha ngemuva kwemizuzu embalwa lapho ngizama khona ngendlela ecishe ibe namandla omuntu ukwenza umuntu engikhulumisana naye aqonde okungenani eyodwa yezisusa zami, ugijimela ukushintsha isihloko. Uma umthetho wezilinganiso uqinisile, bambalwa kakhulu kithi abathanda iMathematics baze bayenze umsebenzi wethu oyinhloko. Yize kuyiqiniso ukuthi kunzima kakhulu ukuthi "umfundi wanamuhla" athole lokho kunambitheka okukhethekile ngakho noma empeleni aqonde ngokugcwele ingxenye ethile yohlu olukhulu lwe-thematic ayihlanganisayo, konke akukalahleka. Isoftware ethokozisayo yezibalo ivela eFrance: IGeoGebra "ukubeka ubuchopho bethu" kunselelo enjalo.

I-GeoGebra wuhlelo olunamandla lwejometri, okusho ukuthi ngalo singakwazi ukukhiqiza ukwakhiwa kusuka kumaphuzu, izingxenye, imigqa, njll. bese ubenza baphile kabusha ukuze baphinde bahlanganise ukwakheka kwejometri okuhlukile futhi ngaleyo ndlela bafunde kangcono noma kangcono ukufundisa imiqondo oyifunayo. Kepha akugcini lapho; ibuye iphathe izibalo kanye ne-algebra ngaphakathi kwendawo efanayo enamandla.

Izinto zingafakwa noma ngokuchofoza kwesikhombi ekubukeni kokuqhafaza noma ngokuhlaziya kukhonsoli elula kepha esebenza kakhulu. Inani lamathuluzi i-GeoGebra elisebenzisayo ukuphatha izinto liyamangalisa kuze kube seqophelweni lokuthi akukho lutho oluphunyukile kubathuthukisi balo (eliholwa nguMarkus Hohenwarter) kuze kufike ezingeni lokuthi akulona ihaba ukusho ukuthi noma yini engacatshangwa ku-2D ingenziwa eGeoGebra.

Kepha i-GeoGebra idlulela phambili: ukugqwayiza okuzenzakalelayo nezethulo kungadalwa, ukwakhiwa kwayo kungathunyelwa kumafomethi ahlukahlukene awusizo njenge-PNG, i-animated GIF, i-EPS, i-PDF, i-PsTricks (Yebo, ithumela ngaphandle ikhodi yeLaTeX !!!), phakathi kwabanye .; ngisho nezinto zangaphandle (njengezithombe) zingangeniswa futhi zibandakanyeke ekwakhiweni kwezibalo.

I-interface yayo ilula futhi iyathandeka. Kuwo sithola umbono wejometri, umbono we-algebra futhi, uma ufisa, ukubuka kwespredishithi.

Le yiGeoGebra edlala neminye imiqondo ejwayelekile ye-Euclidean geometry (ama-bisectors ezinhlangothini ne-circumcenter):

Lapha ngezinto ezithile zokubala (umsebenzi we-sine, okuvela kuwo, ukuhlanganiswa kwawo kusuka ku-zero kuya ku-pi kanye nokuqagela ngochungechunge lukaTaylor):

Lapha ukwenza ukulingisa kweFiziksi (isibuko se-concave esiyindilinga):

Amandla weGeoGebra anganelisa noma yiziphi izithameli zanoma yiliphi izinga. Uma umsebenzisi edinga kanjalo, angamela ngisho -uma ngabe uzimisele ukuthola izinga eliphakeme ekuphatheni ama-fractal wezinto nezinto nokusetshenziswa ku-3D (noma ngabe yayenzelwe i-2D !!!).

En http://www.geogebratube.org/?lang=es Kukhona i-database enkulu yamaphrojekthi enziwe ngabathandi abaningi bohlelo, ahlukaniswe ngezigaba kanti ezinye zazo zihlaba umxhwele ngempela.

Uhlobo lwamanje lwe-GeoGebra ngu-4.0.32.0 futhi ngokufunwa okuthandwayo, kuyadingeka ukuthi inguqulo yesi-5 yohlelo ibe nemvelo elula kodwa enamandla yokwenza konke ongakucabanga nge-3D (i-beta isivele ikhona futhi ithembisa okuningi).

Ukuthola i-GeoGebra, vele ubheke umphathi wephakeji we-distro yakho futhi kungenzeka kakhulu ukuthi uhlelo lube kude ngokuchofoza okukodwa. Uma lokhu kungenjalo, kuwebhusayithi esemthethweni yephrojekthi http://www.geogebra.org/cms/es ungafinyelela amaphakheji nemiyalo yokwengeza amakhosombe afanele.

Angifuni ukuthatha isikhathi esithe xaxa kuwe, mngani wami; ngakho-ke ngithemba ukukugqugquzela ukuthi ubheke iMathematics kusukela manje kuqhubeke ngamehlo ahlukile ngenxa yeGeoGebra. Uma usuvele uyayithanda le ndawo enhle yolwazi, ngiyakuhalalisela; Kepha uma lokhu kungelona icala lakho, nikeza iGeoGebra ithuba ukuze ngalo uqonde ukuthi lesi simiso simangalisa kanjani ukuthi uGalileo omkhulu wasichaza "njengolimi loMhlaba".