GeoGebra, masvomhu inofamba

geogebra isoftware ye simba geometry, ndiko kuti, inobvumidza kugadzira zvigadzirwa zvejometri uye kuvapa hupenyu (verenga «vape hupenyu») kuti uwane izvi kwete chete kuti usvike pakunzwisisa kwakakwana kwejometri asiwo kuita mashandiro akaomarara uye simulations kungave kubva kune dzimwe nzvimbo dze Math kana zvimwe zvinodzidziswa senge Physics kana the Economy.

Dzimwe nguva vanondibvunza kuti sei ndasarudza kudzidza Mathematics uye panorama inoitika zvakare. Ndinoedza kutsanangura izvo kwandiri zvikonzero zviri nyore uye zvinogutsa: ndingaite sei kuti ndisade Mathematics kana mairi uchigona kukoshesa runako runoshamisa -runodadisa asi rwakadzikama-, kana ari iye muridzi wechokwadi uye mudzidzisi wehutsinye uye kurongeka, kana inodzidzisa kufunga, kutaurirana uye kuve nehunyanzvi (…)?: Asi mushure memaminetsi mashoma umo ini ndinoedza munzira ingangove yepamusorosoro yekuita kuti munhu wandinotaura naye anzwisise chimwe chezvinangwa zvangu, anomhanyira kuchinja nyaya. Kana mutemo weavhareji uri wechokwadi, isu tiri vazhinji, vashoma vedu isu vane shungu neMathematics kusvika pakuiita yedu huru basa. Kunyangwe chiri chokwadi kuti zvakaoma kwazvo kuti "mudzidzi wechizvino-zvino" awane kuravira kwakakosha kwazviri kana kuti kunyatsonzwisisa chimwe chikamu chematanho makuru ainovhara, zvese hazvisati zvarasika. Anonakidza masvomhu software inobva kuFrance: GeoGebra.

GeoGebra chirongwa chinesimba chejometri, zvinoreva kuti nacho tinokwanisa kugadzira kuvaka kubva kunongedzo, zvikamu, mitsara, nezvimwe. uye kuvakurudzira kuti vatangezve akasiyana maomero ejometri uye nokudaro vadzidze zvirinani kana zvirinani kudzidzisa izvo zvinodiwa pfungwa. Asi hazvingomiri ipapo; inobatawo Calculus uye algebra mukati meiyo imwe nharaunda ine simba.

Zvinhu zvinogona kuiswa mukati pamwe nekukenya kweye pointer mune yakajeka graphical kana analytically mune yakapusa asi inoshanda kwazvo koni. Huwandu hwezvishandiso zvinoshanda neGeoGebra kushandura zvinhu zvinoshamisira kusvika padanho rekuti hapana kana chinhu chakatiza vanogadzira (vachitungamirwa naMarkus Hohenwarter) kusvika pakuti haisi kuwedzeredza kutaura kuti chero chinhu chingafungidzirwe mu2D chinogona kuitwa muGeoGebra.

Asi GeoGebra inoenda kunyange mberi: maitomendi emitambo uye mharidzo dzinogona kugadzirwa, zvivakwa zvacho zvinogona kutumirwa kune akasiyana mafomati akadai sePNG, animated GIF, EPS, PDF, PsTricks (ehe, inotengesa kune LaTeX kodhi !!!), pakati pevamwe .; uye kunyange zvinhu zvekunze (senge mifananidzo) zvinogona kuunzwa kunze uye kubatanidzwa mukati mekuumbwa kwemasvomhu.

Yayo interface iri nyore kwazvo uye inofadza. Mariri tinowana maonero ejometri, iyo algebraic maonero uye, kana zvichidikanwa, maonero espredishiti.

Iyi ndiyo GeoGebra irikutamba nedzimwe pfungwa dzinoenderana neEuclidean geometry (iwo mabisector emativi neecirccenter):

Pano paine zvimwe zvinhu zvekuverenga (iyo sine basa, iro rinobva, rakabatana kubva zero kusvika pi uye fungidziro kuburikidza naTaylor akateedzana):

Pano uchiita yekufananidza yeFizikiki (parabolic concave girazi):

Kugona kweGeoGebra kunogona kugutsa chero vateereri vechero chikamu. Kana mushandisi achida kudaro, anogona kunyange kumiririra - kana achida kuwana chikamu chepamusoro mukubata chirongwa - zvipenga uye zvinhu uye simulation mu3D (kunyangwe payakagadzirirwa 2D !!!).

En http://www.geogebratube.org/?lang=es Iko kune hombe dhatabhesi yemapurojekiti akagadzirwa nevazhinji vanofarira chirongwa ichi, chakakamurwa nezvikamu uye zvimwe zvacho zvinonakidza.

Iyo yazvino vhezheni yeGeoGebra ndeye 4.0.32.0 uye nechakakurumbira kudiwa, kune vhezheni yechishanu yechirongwa pachave patove neyakareruka asi ine simba yekuwedzera nharaunda yekuita zvese zvingafungidzike mu5D (iyo beta yatovepo uye inovimbisa zvakawanda).

Kuti utore GeoGebra, chingotarisa maneja wepakeji weiyo distro yako uye zvingangoita kuti chirongwa chinongova kubaya kamwe chete. Kana iyi isiri yako kesi, pane yepamutemo webhusaiti yeiyo purojekiti http://www.geogebra.org/cms/es iwe unogona kuwana mapakeji uye iwo mirairo yekuwedzera iwo akachengetedzeka marekodhi.

Handidi kutora imwe nguva shamwari yangu; saka ndinovimba kukukurudzira kuti utarise Mathematics kubva zvino zvichienda nemaziso akasiyana nekutenda kuGeoGebra. Kana iwe watove kuda ino inoshamisa nzvimbo yeruzivo, ndinokukorokotedza iwe; Asi kana iyi isiri yako, ipa GeoGebra mukana kuitira kuti kuburikidza nayo iwe unzwisise kuti zvinoshamisa sei kuraira uku kuti iye mukuru Galileo akauya kuzotsanangura se "mutauro weZvose".