cyanic-selkie/wikianc huggingface dataset:
Ebizibu ebiva ku mwenge ebituuka ku mwana atannazaalibwa
Enfaanana y’ekizibu kino
Kano[] ke katu k’embeera ezituuka ku muntu nga maama we yanywanga omwenge mu kiseera we yabeerera olubuto. Ebizibu bino mulimu enfaanana etali ya bulijjo, okubeera omumpi, okuwewuka, okubeera n’akatwe akatono, ebitundu by’omubiri okulemererwa okukwatagana mu mpulira n’enkola yaabyo, okutegeera okutono, obuzibu mu kuwulira oba okulaba. Abantu ab’ekika kino babeera n’obuzibu mu kugondera amateeka, babasiba nnyo mu makomera era nga beenyigira nnyo mu bikolwa eby’obukaba, okukozesa ennyo omwenge n’ebiragala ebirala.
Enkola z'Omulengera (the Mental processes)
Enkola z’Omulengera (the Mental Processes)
Enkalala z'emiramwa gy'Ekibalangulo
x)	Namba ennambulukufu			(composite numbers)
Enkola z'Omulengera (the Mental processes)
Okukulakulanya entabaganya kyetaagisa okukulaalanya Obwakalimagezi (Intelligence). Tumaze okulaba obwa nakasatwe bw’obulamu bw’omuntu; omubiri, omulengera, n’omwoyo. Obutafanana nsolo ndala, obulamu bw’ensolo eyitibwa omuntu, bukolebwa ebintu bisatu: omubiri, omwoyo, n’omulengera (the mind). Buli kimu ku bino kyetaagisa okukola omuntu omujjuvu. Omulengera (the human mind) mwe musibuka obwakalimagezi obw’omuntu.
Singa si bwakalimagezi bwe, omuntu teyandisobodde kufuga butonde obukaalamufu n’okubukolemu ebintu bye yetaaga, teyandibadde mutabaganyi na bantu banne, teyandisobodde kwenyigira mu byanfuna, ebyobufuzi, yadde okuba n’obusobozi okufuga embeera ze ez’obuntu enkaalamufu nga okunyiiga, obujja, obukyaayi, kyokka n’okuyiiya ebintu eby’enjawulo ebireetawo enkulaakulana eza buli kika kiva ku bwakalimagezi bwa muntu.
Kiri mu butonde bwa muntu okuzaalibwa n’obwakalimagezi obutereke. Buli muntu azaalibwa n’obwakalimagezi obutereke. Kino kiba kitegeeza nti ekitone kino eky’obwakalimagezi (intelligence) kirina okukulaakulanyizibwa okuva nga tuli bato. Okutendeka omwana okumanya ebikolwa eby’obwakalimagezi kuba kumutendeka bugunjufu kubanga kino kye kimu ku bimuyamba okwewala ebikolwa ebitali bya buntu n’obusobozi okufuga obutonde (taming nature) oba embeera enkaalamufu ze tuba nazo.
Enkozesa y’Obwongo (Enkozesa y’Omulengera).
Ensolo endala zirina obwongo obukola naye tezirina busobozi kukozesa bwongo buno. Mu nsolo zonna, omuntu y’alina obusobozi obwa waggulu okukozesa obwongo bwe olw’okuba alina obwakalimagezi (intelligence). Bw’oba omuntu atafaayo kukozesa bwongo bwo, oba weyisa nga kisolo, si nga muntu.
Kikulu nnyo okuyigiriza omwana okukozesa obwongo okutandika n’okwebuuza ku buli kintu, okuviira ddala ku butonde okudda ku bikolwa okusobola okumuyamba okukola okuvumbula amateeka ga sayansi agafuga obutonde awamu n’okukola oba okwogera ebintu eby’ekitegeevu mu bantu banne. Singa mu maaso aba yenyigidde mu amasomo agekebejja obutonde (empirical sciences), kino era kimuyamba okufuuka munnasayansi, omuvumbuzi oba omuyiiya. Ng’amaze okuyiga okwebuuza ebibuuzo eby’ekifirosoofa (philosophical questions) ku butonde na buli kintu ekigenda mu maaso, omwana yetaaga okumanya engeri y’okutuuka ku kumanya ng’akola enkakaso n’okulaga ky’avumbudde oba ky’ayize. Kino kikolebwa okuyita mu:
•	Okulowooza nga yebuuza ku ky’alowozaako
•	Okwekebejja obutonde oba ekintu ekirala kyonna
•	Okwekenneenya
•	Okwefumiitiriza
Enkalala z'emiramwa gy'Ekibalangulo
xi)	Namba ezitali nambulukufu		(prime numbers)
xii)	Ennyingo ne Namayingo		(Terms and Polynomials)
Enkola z'Omulengera (the Mental processes)
•	Okulambulula ebirowoozo (ensonga)
•	N’okusengeka ebirowoozo oba ensonga ezo. Okusengeka ensonga kwe kusengeka ebirowoozo nga obikwataganya bulungi mu ngeri etegeerekeka ate nga ejjayo obukakafu.
Engeri zino zirina ekigendererwa kimu: okutendeka asomesebwa okukozesa obwongo ng’asengeka ebirowoozo mu bwetengerevu (ng’asinziira ku fakikya (facts) oba obukakafu obulabika, okuyita mu kulambika oba okulambulula ensonga.
Nambiso ne Namba (Numerals and numbers)
Ennamba n’ennambiso (Numbers & Numeracy)
Enkola z'Omulengera (the Mental processes)
Okulowooza.
Enkalala z'emiramwa gy'Ekibalangulo
xiii)	 Emigereko 				(Sets)
xiv)	Emikwanaganyo n’emikwataganyo	(Relations and functions)
Enkola z'Omulengera (the Mental processes)
Wano omuntu atondeka ekirowoozo (forms a thought) awatali fakikya (facts) oba bukakafu. Kino kitegeeza nti mu mbeera emu, okulowooza kikolwa ekyetaagisa omuntu okutondeka ekirowoozo ku mbeera eriwo nga bw’eri awatali kugyefumiitirizaako.
Guno gwe mutendera ogusooka ogwetaagisa buli muntu yenna okusoobola okukozesa obusobozi bw’omulengera gwe (fakalita ze) gwe obulala obw’enkozesa y’obwongo. Okulowooza kuno n’ebikolwa ebigerekere (instinctive acts) oba okumanya okwembagirawo (intuition) tekiri mu bantu bokka, wabula kuli ne mu nsolo ezitalina bwakalimagezi (magezi ga mutendera gwa waggulu) tebiri ku mutindo nga ogw’omuntu. Ziraba ekintu ne zikirowozaako nga bwe kiri kyokka zzo zikoma awo tezeeyongerayo kwefumiitiriza oba kukyefumiitirizaako yadde okwongera okukinoonyerezaako ne sensa endala.
Buli muntu asobola okulowooza naye abantu abamu bakoma ku kulowooza, tebeyongerayo kwefumiitiriza, balowooza bulowooza awatali kwefumiitiriza. Bakkiririza mu fakikya (facts) oba ebiriwo awatali ku byekebejja na kwekenneenya. Fakikya zino oba ebiriwo nga bw’aba abisegedde, yee abitwala ng’amazima era tafaayo kubyekebejja na kubyekenneenya kusingako awo.
Okwefumiitiriza (Critical thinking).
•	Okwebuuza ku kintu kyosegedde ne sensa zo
•	Okuteebereza (rationalising) ku kiri munda oba emabega waakyo
•	“Okwekenneenya” (analysis) ekintu oba omulamwa. Wano omuntu era akozesa “sensa” ze ettaano omuli okulaba, okuwunyirza, okuwulira, okukwatako, oba okulegako mu kukinoonyerezaako, n’alyooka asengeka ebirowoozo okusinziira ku ki ky’afunye. Oluusi ayinza okukyabuluzaamu amanye ebiri mu buziba bwakyo.
•	Okugereesa (abstraction/ theorising).
•	Okugerageranya
•	okunoonyereza n’okugezesa ku butonde
•	okutuuka ku kuvumbula
•	okuyiiya tekinologia
Mu butuufu omuntu alowooza obulowooza ku kintu ky’asegedde ne sensa ze kyokka n’ateyongerayo kukyekebejja oba okukyekenneenya era n’atakyefumiitirizaako aba ng’ekisolo obusolo.
Okwefumiitiriza kwetaagisa nnyo mu bulamu bw’omuntu obwa bulijjo oba mu ntabaganya kyokka ate kye kifuula abantu abamu okuba bakakensa abakozesa “enkola ya sayansi” (scientific method) oba bassekalowooleza n’okuteekawo tekinologia ow’omugaso ennyo mu kutondeka ebyettunzi.
Okwefumiitiriza (critical thinking) kitegeeza “kulowooza ku kulowooza”. Kino kitegeeza nti okwefumiitiriza kulowooza okuyingira mu buziba bw’ekintu oba embeera nga tonnasalawo oba  nga tonnakola  kintu kyonna. Okwefumiitiriza bwe kweyunirwa, omulengera (the mind) guwa ekyagaanya enjuyi zonna nga tannawa ndowooza. Omuntu eyefumiitiriza yekenneenya omulamwa ne kalonda yenna ku mulamwa oba embeera eba eriwo.
Okwefumiitiriza kyetaagisa okwebuuza, okwekebejja n’okwekenneenya, n’ebiseera biwanvuko okusinga okulowooza obulowooza. Omuntu atali mwefumiitiriza nga omuteeredde ebitereke bya sente bisatu awo, ekitono, ekinenene, n’ekinene ddala n’omugamba alondeko,  ayinza okutwala ekisinga obunene nga alowooza nti kye kirimu ensimbi ennyingi okusinga ebirala. Omuntu omwefumiitiriza asooka kwagala kusumululako alabe ekiri munda kubanga yebuuza nti ye abaaye sente ze zirimu? Ye ezirimu za miwendo minene oba mitono.
Omuntu omw’efumiitiriza bw’asoma ekitabo ka tugambe ekya “Zinunula Omunaku”, asooka n’asoma emiko egisooka, n’asoma ku muwandiisi, n’alyooka asalawo oba asome ekitabo kino kyonna.
Abantu abeefumiitirza batera obuteesiba ku ndowooza emu oba ku kintu kimu kuba baba bakimanyi nti wayinza okubeerawo engeri oba ekkubo eddala. Batera okuba abannyonnyofu era abatabuukira kintu kyonna kumala gasalawo mangu.
Okwefumiitiriza kitegeeza, obusobozi bw’abalowooza okuba nga bafuga okulowooza kwabwe oba endowooza zaabwe era ne balowooza ku kye balowoozako. Omuntu akozesa obwongo nga yefumiitiriza:
•	Asobola okwawula wakati wa fakikya (fact) n’endowooza y’omuntu kinnoomu (opinion).
•	yebuuza ku buli ky’alaba, ky’awulira, kyasoma ne ky’akola
•	anoonya okunnyonnyoka buli mulamwa
•	abuuza ebibuuzo ebirina ekigendererwa
•	Talemera ku nsonga nga fakikya oba embeera zikyuse.
•	N’olwekyo akkiriza nti yakoze ekintu olw’obutamanya oba nti yabadde tamanyi.
•	Ayaayaanira okumanya.
•	anoonya okulaba engeri ey’okukolamu ebintu esaanidde
•	Awuliriza abalala n’obwegendereza ate n’awa okuddamu kwe gye bali (feed back).
•	Ayongezaayo okusalawo okutuuka nga fakikya zonna zikung’aanyiziddwa ne zekenneenyezebwa.
•	Anoonya obukakafu
•	takolera ku ngambo
Ebizibu ebiva ku mwenge ebituuka ku mwana atannazaalibwa
Engeri y’okuziyiza obuzibu buno
Ebizibu bino bisobola okuziyizibwa ng’omukyala yeewala okunywa omwenge ng’ali lubuto nga n’olwensonga eno bannabyabulamu bakivumirira. Singa embeera eba nga yaalubeerera awo obujjanjabi obw’enjawulo busobola okukozesebwa okusobola okussaawo embeera y’okunyumya n’omwana ali mu lubuto okusobola okumuzimba entegeera n’enneeyisa.
Okwekwasawaza (bonding)
Gakuweebwa Charles Muwanga .Okwekwasawaza (Bonding)
Essomo ly’essomabuziba okusinga lyekuusiza ku kwekwasawaza oba enkwasowazo z’obuziba (atomic bonding). “Enkwasowazo z’obuziba”(atomic bonding)  zibeerawo mu mbeera satu; enkwasowazo ez’ekigabanyo(covalent bonding), enkwasowazo ez’ekivaatiso (ionic bonding), n’enkwasowazo ez’ekyuma(metallic bonding).
Enkwasowazo ez’ekigabanyo zibaawo nga obuziba bubiri bwegabanya obusannyalazo bwe bumu ate nga ensikirizo(attraction) wakati w’obuziba yenkana n’ensidiikirizo (repulsion). Mu nkwasowazo ez’ekivaatiso, vatomu(ions) bbiri ezirina kyagi eza kikontana kyokka nga zenkana mu kigero zekwata wamu olw’ensikirizo z’entagenda ey’amasannyalaze (electrostatic attraction). Ebisookerwako mu ssomabuziizi byekuusiza ku kutegeera bisookerwako ku buzimbe bw’akaziba ne kalonda w’obuziba.
N’olwekyo kyetaagisa okumanya nti obuziba bukolebwa busannyalazo, bukontanyo, ne nampawengwa. Era olina okukimanya nti okuba nga enzitoya (mass) y’akaziba esangibwa mu buziizi bw’akaziba(nucleus of the atom) yekuusiza ku binnyonnyozo bya bukontanyo(protons) na nampawengwa(neutrons). Era wetaaga okumanya nti obuziizii, yadde bulina enzitoya nnene, ebugaana obubangirivu(volume) butono nnyo obw’akaziba. Okumanya kino kikuyamba okukuteekateeka okumanya ebibeerawo mu nkwasowazo ez’ekikemiko (chemical bonding).
Ekibalirizo (Arithmetic)
Ekibalirizo (Arithmetic)
Ekibalirizo era "kibalirira"(Arithetic)
Obutafaanana nga aligebbula ayogeza byombi, namba n’ennyukuta, okubalirira(arithmetic) kwogeza namba na nambiso byokka. Ekibalirizo (arithmetic) kyetaagisa okuwa namba amannya n’obubonero. Amannya ga namba enzijuvu mu luganda gali “emu, bbiri, satu, nnya, ttaano, mukaaga, n’okweyongerayo. Amannya gano gayitibwa mannya agabala oba namba za kibazo (namba ezibala).
Nambiso ne Namba (Numerals and numbers)
Sooka omanye bino
Ekibalirizo (Arithmetic)
Obubonero obukiikirira namba bulagibwa nga: "1, 2, 3, 4, 5, 6, 7” n’okweyongerayo mu ntakoma. Obubonero buno buyitibwa nambiso (numerals). Waliwo ne nambiso z’ekirooma” (Roman numerals) nga  I,II,III,IV n’okweyongerayo. 'Okiraba nti mu nambiso z’ekirooma temuli kabonero ka zeero.
Zeero(0) nayo etwalibwa okuba namba enzijuvu.Erina ekinnyonnyozo(property) nti singa egattibwako namba yonna endala, namba eyo tekyuka. Ekyokulabirako 5+0 = 5.
Obutafaanana nga aligebbula ayogeza byombi, namba n’ennyukuta, ekibalirizo (arithmetic) kyogeza namba na nambiso byokka. Ekibalirizo (arithmetic) kyetaagisa okuwa namba amannya n’obubonero.
Amannya ga namba enzijuvu mu luganda gali “emu, bbiri, satu, nnya, ttaano, mukaaga, n’okweyongerayo. Amannya gano gayitibwa mannya agabala oba namba za kibazo (namba ezibala).
Nambiso ne Namba (Numerals and numbers)
(a)	Ekikolwa eky’okubala (counting) kyetaagisa obubonero n’amannya gabwo.
Ekibalirizo (Arithmetic)
Obubonero bw'endagamuwendo ekkumi(ten digits) ezizimba buli namba, omuli: 0,1,2,3,4,5,6,7,8,9  buyitibwa “nambiso”(numerals) kyokka mu kubwatuukiriza tuziyita “namba”.
Nambiso ne Namba (Numerals and numbers)
(b)	Namba ly’erinnya ly’obubonero obukozesebwa okubala mu ttabi ly’ekibalangulo eriyitibwa “ekibaririzo” (arithmetic). Obubonero buyitibwa “nambiso’ (numerals).
Ekibalirizo (Arithmetic)
Amannya g’obubonero buno mu luganda gali : “zero, emu, bbiri, satu, nnya, ttaano, mukaaga, n’okweyongerayo mu entakoma. Ezo ze namba ez’enjawulo. Amannya gano gayitibwa mannya agabala oba namba za kibazo (namba ezibala).
Enkola z'Omulengera (the Mental processes)
•	Aba mugobansonga ng’anoonya enjawulo eri mu bifaanagana n’obumu bw’ebitafaanagana era buli kintu akyekenneenya okuva ku njuyi n’ensonda zonna, ku ngulu ne mu buziba bwakyo.
Enkalala z'emiramwa gy'Ekibalangulo
xvi)	Emigerageranyo			(Ratios)
Ekibalirizo (Arithmetic)
Omuntu atandika sessomo ly’ekibalangulo alina kusookera ku kuyiga:
Enkalala z'emiramwa gy'Ekibalangulo
xvii)	Ebigerageranyo			(Rates)
xviii)	Emigendaganyo			(proportions)
xix)	Kalonda 					(Data)
Ekibalirizo (Arithmetic)
o	Okubala, okusoma, n’okuwandiika namba enzijuvu okutandika n’ezisooka ekkumi, n’azzaako ekikumi, nadda  ku lukumi,n’okweyongerayo.
o	Okunokoolayo omuwendo gw’ekifo(place value) buli digito ya namba mweri.
o	Waliwo akakwate akali wakati wa namba, obungi,n’omuwendo gw’ekifo mu namba enzijuvu okutuuka ku lukumi.
o	Waliwo enkozesa y’omulamwa gw’ensuusuuba n’amakumi mu nsengekera ya namba ey’omuwendo gw’ekifo.
Enkola z'Omulengera (the Mental processes)
Okulambika ebirowoozo (Okulambika ensonga)
Okulambika ensonga oba okulowooza nga olambika ensonga mu lungereza kiba “inductive reasoning”. Okuyita mu kukozesa obwongo ng’olambika ensonga, omuntu kalimagezi:
Ekibalirizo (Arithmetic)
o	Okuva awo alina okumanya omuwendo gw’ekifo ogwa namba enzijuvu awamu n’ogw’emitonnyeze (decimals) egirina ebifo by’emitonnyeze (decimals places) ebibiri awamu n’engeri namba enzijuvu n’ebigana gye zikwataganamu n’emikutule (fractions).
Yokohama
Yokohama, ekibuga mu Japan.
Ekibalirizo (Arithmetic)
o	Bw’ova kw’ekyo aba alina okuyiga okusoma n’okuwandiika namba enzijuvu eziri mu bukadde. o	 Okusengeka n’okugeraageranya namba enzijuvu n’emitonnyeze okutuuuka ku bifo by’emitonyeze bibiri.
o	Okuzingirako namba (rounding off numbers) enzijuvu ku kumi, ku kikumi, lukumi, mutwalo, kakadde, kawumbi okutuuka ku butabalika (the nearest ten, hundred, thousand, ten thousand, or hundred thousand).
o	Okusengeka ennamba (0rdering numbers)
o	Enziringanya y’ennamba (Number sequencing)
Okuyiga bino kisobozesa omuntu atandika ekibalangulo okugenda mu maaso:
(i)	Okuyiga okubala obungi bw’ebintu.
(ii)	Okuyiga okugatta n’okwawuza.Kino balina okukikola n’okwegezaaamu kungi okutuuka nga buli muwendo bagukuba budinda.
(iii)	Okwegezaamu n’okubala mu bibinja n’enkubiso z’ebibinja (multiples of groups). Eky’okulabirako okubala ebintu ne 5, 10, 15, n’okweyongerayo
(iv)	Okubalanguza okuyita mu kukozesa emisimbalaala (columns) naddala ng’oyagala okugatta oba okwawuza namba ennene ezirina digito eziwera.Wano tulina okukozesa obumanyirivu bw’emiwendo gy’ekifo kya buli digito. Ojja kukizuula nti bwe twogera obwogezi namba tubuuka emiwendo gy’ebifo (place values) ebiba bitakiikiriddwa namba, gamba, mu namba nga 4, 006; eno esomwa nga enkumi nnya mu lukaaga. Bwe tuwandiika awatali digito ekifo tukiteekamu ziro (0).
Enkalala z'emiramwa gy'Ekibalangulo
xx)	 Ekisengekakalonda / Essomakalondomusengeke			(statistics)
Enkola z'Omulengera (the Mental processes)
	Alambika ebirowoozo bye okuva wansi okudda waggulu.
Enkalala z'emiramwa gy'Ekibalangulo
xxi)	Ekibalo ky’Obusuubuzi		(business math)
3.	Omugereeso gwa Namba (Number theory)
Enkola z'Omulengera (the Mental processes)
	Atuuka ku kuvumbula oba okumanya ebipya.
Enkalala z'emiramwa gy'Ekibalangulo
Mu mugereeso gwa namba mulimu ebika bya namba eby’enjawulo omuntu  anabeera omubalanguzi bye yetaaga okunnyonnyoka. Bye bino:
a)	Namba eza kibazo			(cardinal numbers)
b)	Namba ezibala				(counting numbers)
c)	Namba eza ndagakifo 			(ordinal numbers) d)	Namba eza ndagalinnya			(nominal numbers )
Enkola z'Omulengera (the Mental processes)
	Kimusobozesa okuyigiriza abalala okwevumbulira oba okwezuulira okumanya okupya.
	Okulambika ensonga kitendeka omulengera (the mind) n’okukulaakulanya enkola z’omulengera (mental processes) mu bato nga bayiga okwevumbulira ebipya.
	Kimwetaagisa okukozesa ensonda ez’enjawulo
Nambiso ne Namba (Numerals and numbers)
(c)	“Namba” ye namunigina(unit) omubalanguzi gye yeyambisa ng’akola okubalangula kwe okwa buli kika mu sessomo ly’ekibalangulo.
Enkola z'Omulengera (the Mental processes)
Okulambika ensonga oba okukozesa obwongo ng’olambika ebirowoozo (inductive reasoning) kiringa kutema kkubo awatali kkubo kubanga otandika tolina ky’omanyi wabula n’okozesa okwekebejja, okwekenneenya, n’okwefumiitiriza okutuuka ku kipya.
Engeri y’okusomesa oba okuyiga ng’olambika ensonga kiringa kutema kkubo awatali kkubo okutuuka ku kigendererwa (okuzuula ekituufu). Mu kutema ekkubo awatali kkubo mulimu okuyita ku busozi n’ebikko ate awo n’okyusaamu okufuna aw’okuyita awatuufu ate nga buli w’otema ogenda olambawo (olambikawo). Okusomesa okulambika ensonga kiyamba nnyo mu baana abato okukulaakulanya enkozesa z’obwongo bwabwe, naddala okwefumiitiriza n’okwetuukira ku kituufu ku bwabwe.
Okulambika ebirowoozo kitegeeza kuyamba muyizi kwetemera mpenda zituuka ku kumanya ekituufu kwekyo kyonoonyerezaako, ng’okozesa obwongo mu kifo ky’omuntu omulala okukubuulira ye ky’amanyi.
Mu yinginiyologia kyetaagisa okusoma n’onnyonnyoka amateeka ga sayansi ez’ensibo (natural sciences). Obutafaanana na kulambulula, okulambika kikolwa kya kwevumbululira (okukwekula) na kukozesa mateeka ga sayansi okuyiiya tekinologia omupya nga okola okunoonyereza eno nga bw’ogenda olambika buli mutendera gw’oyitamu naddaala okukola ennongoosereza mu tekinologiya aliwo oba okuvumbula tekinologiya omupya.
Okulambulula ebirowoozo (Okulambulula ensonga)
Olw’okuba “Ekipimo ky’Obwakalimagezi”/EkkyO (IQ) mu bantu si kye  kimu, abamu banguyirwa okuyiga nga balambululirwa ensonga ate abo abalina obwongo obwogi bbo ne banguyirwa okuyiga nga bayambibwa okulambika ensonga era bano baba n’obusobozi okuvumbula ebipya.
Okulambulula ensonga oba okulambulula ebirowoozo mu lungereza kiyite “deductive reasoning: Okulambika n’okulambulula ensonga bigeraageranye n’ekikolwa eky’okusiba n’okusumulula oba okulanga n’okulangulula omugwa. Okulangulula omugwa kiba kyangu okusinga okugulanga kuba okugulanga oteekamu okwefumiitiriza n’amagezi mangi ddala.
Obutafaanana na kulambika nsonga, okulambulula ensonga kitegeeza kunnyonyola ekyo ekiwedde okukola (ekimanyiddwa) okudda wansi ku ntandikwa. Okulambulula ensonga”:
	Tekuleetawo kumanya kupya, wabula kulaga ekkubo eryayitiddwamu okutuuka ku mulamwa (ekituufu), ku nsonga, oba katugambe okulaga ekkubo omuyiiya oba omuvumbizi lye yayitamu okutuuka ku tekinologiya aliwo.
	Nkola ya kulaga bukakafu
Enkalala z'emiramwa gy'Ekibalangulo
e)	Namba enzijuvu				(Whole numbers)
Essomakirongoosabirwadde(Surgery)
Muwanga akusomooza okumanya enjawulo eri wakati w'emiramnwaL
Essomakirongoosabirwadde (Surgery)
Enkalala z'emiramwa gy'Ekibalangulo
f)	Kibalirampuyibbiri /Yintegya:				(integers)
g)	Namba ez’ensibo				( natural numbers)
h)	Namba za kyegabanya			(Even numbers )
Essomakirongoosabirwadde(Surgery)
Kino era kiyitibwa "kirongoosabirwadde".
Obulungi bw'Okuyiga sayansi n'ekibalangulo mu Luganda n'Olungereza mu essomeso lye limu(Double Exposure Education=DEED)
Bwe tuba nga tunayitimuka okutuuka ku mutondo gw'enkulaakulana mu bbanga ettono tulina okutandika nga essira tuliteeka ku kukulaakulanya ennimi zaffe ez'ekinnansi nga Oluganda mu miramwa egy'oluganda nga bwe tulaga egyo gye gikwatagana nagyo mu Lungereza.Lwaki?
Olungereza lwe lumu ku nnimi entono ennyo ezaakulaakulana edda mu sessomo zonna, omuli ne sayansi ne tekinologiya.Olungereza lwe lulimi lwa sayansi olw'ensi yonna. Nga bwe tukulaakulanya ennimi zaffe ez'ekinnansi mu miramwa egya sayansi, buli muwandiisi alabe nga omulamwa gwa sayansi ogw'oluganda alaga omulamwa gw'olungereza gwe gukwatagana nagwo.Eky'okulabirako omuwandiisi singa aba asazeewo kuwandiika ku kirwadde:
Enkalala z'emiramwa gy'Ekibalangulo
i)	Namba eza kigaanira			(odd numbers)
j)	Emikutule /Emwenkutule 			(Fractions)
Obulungi bw'Okuyiga sayansi n'ekibalangulo mu Luganda n'Olungereza mu essomeso lye limu(Double Exposure Education=DEED)
"ettalo"
Enkola z'Omulengera (the Mental processes)
	Kukozesebwa okulaga enkola oba engeri ebintu ebimanyiddwa gye bikolamu, gye bikolebwamu oba gyebyavumbulwamu.
Obulungi bw'Okuyiga sayansi n'ekibalangulo mu Luganda n'Olungereza mu essomeso lye limu(Double Exposure Education=DEED)
Naawe yongera okuteesa ku kino!!
Enkalala z'emiramwa gy'Ekibalangulo
l)	Namba ezitali za mugerageranyo	 	(Irrational Numbers)
m)	 Namba Zennyini				( Real numbers)
n)	Namba Ez’omuteeberezo			(Imaginary Numbers)
o)	Namba za kyebiriga			(square numbers )
p)	Namba za kyesatuza			(cube numbers)
3. Emisingi gya namba oba emisimba (Number bases)
Omusingi gwa namba(omusimba) eba “nsengekera ya namba”(number system) esimbira mu digito ez’enjawulo.
•	Omusingi gwa namba ogwa bbiri		(number base two)
•	Omusingi gwa namba ogwa Satu		(base three)
•	Omusingi gwa namba ogwa nnya		(base four)
•	Omusingi gwa namba ogwa ttaano		(base five)
•	Omusingi gwa ogwa mukaaga		(base six)
•	Omusingi gwa namba ogwa musanvu		(base seven)
•	Omusingi gwa namba ogwa munaana		(base eight)
Enkola z'Omulengera (the Mental processes)
Omulamwa gw’okulambulula gweyambisibwa mu ngeri nnya:
Essomakirongoosabirwadde(Surgery)
(i) Essomabiramu(Biology)
Enkola z'Omulengera (the Mental processes)
(ii)	Mu sessomo ly’ekibalangulo (mathematics) ekigambo “kulambulula” kyeyambisibwa okukola omulamwa gw’okulambulula namba (factorization of numbers) awamu n’okulaga namba ennambulukufu oba namba ezerambulula (composite numbers) ne namba ezitali nambulukufu oba eziterambulula (prime numbers).
(iii)	Mu sayansi ez’ensibo “okulambulula tekinologia” oba “yinginiyologia alambulula tekinologia” mulamwa oguli mu matendekero ga yinginiyologia n’amakolero mu mawanga agavuganya mu nkulaakulana. Omulamwa gw’okulambulula tekinologia (reverse engineering) gugwata ku kukoppa tekinologia ekitongole oba eggwanga ery’ebweru gwe lyeyambisa okuyiiya, okubaga n’okuzimba masiini oba ekyuma kyonna. Wano okiraba nti ekigambo kulambulula kirimu okukoppulula tekinologiya nga sumulula masiini okunnyonnyoka engeri gye yazimbibwamu
Okutwalira awamu okulambulula okigeraageranya n’ekigambo “okulambika” era okukitegeera obulungi wekenneenye ebigambo okusiba n’okusumulula, okutugga n’okutaggulula okutunga n’okutungulula.
Ekirongoosabirwadde (Surgery)
Muwanga akusomooza okumanya enjawulo eri wakati w'emiramnwa
Enkola z'Omulengera (the Mental processes)
Engeri y’okukozesa obwongo ng’olambulula ensonga nayo yamugaso, naddala nga waliwo obwetaavu bw’okukoppa oba okukoppulula ekintu ekikoleddwa omuntu omulala kyokka singa ekozesebwa yokka tewa muntu kyagaanya kwezuulira oba kwevumbulira kipya.
Entabaganya zaffe ezikyetaaga okukulaakulana mu tekinologia wa yindasitule zetaaga nnyo abakugu mu yinginiyologia abasobola okukozesa yinginiyologia ow’okulambulula tekinologia (reverse engineering) okukoppa tekinologia ensi endala gwe zikozesa okutondekawo ebikole eby’enjawulo mu yindasitule, eby’entambula, n’amatabi ga yindasitule ge twetaaga okukulaakulanya eby’enfuna byaffe.
Ekirongoosabirwadde (Surgery)
(i) Essomabiramu(Biology)
Essomakirongoosabirwadde(Surgery)
(ii) Essomabulamu (Biology)
Enkola z'Omulengera (the Mental processes)
Mu Nsi eya sayansi, yinginiyologia ow’okulambulula tekinologia (reverse engineering) akola kinene okukulaakulanya amawanga era obuwangwa oba amawanga agatateekawo nkola yakukoppa tekinologia w’ensi endala gasigalira mabega. Kino kirimu nnyo okwekebejja, okwekenneenya, n’okwefumiitiriza.
Essomakirongoosabirwadde(Surgery)
(ii) Ebyobulamu (Health science/education and health services)
Enkola z'Omulengera (the Mental processes)
Singa ettendekero lya yinginiyologia terisobola kufuna biwandiiko bikwata ku kyuma oba masiini yonna, liba lirina kulambulula tekinlologia wakyo. Ekyokulabirako, eky’okukola kwe kusomesa abayizi “yinginiyologia ono alambulula tekinologia” w’ekyuma kyonna kye baagala okukoppa, bakyusemu bakole ekyabwe.
Essomakirongoosabirwadde(Surgery)
(iv) Essomabirwadde( Expertise in diagnosis and treatment  of sicknesses, medicine)
Enkola z'Omulengera (the Mental processes)
Omuntu omukujjukujju oba ekitongole nga ekitendeka  yinginiyologia   kiyinza okwagala okulambulula tekinologia eyakozesebwa okukola, ka tugambe, ekkolero lya motoka, obusimu bwo mu ngalo, leedio, tulakita, oba erya sukaali,  olw’ensonga ez’enjawulo nga okwagala obwagazi okuyiga, okutondeka ekitondeke eky’efaananyirizaako ekyo ekyekebejjebwa,  oba okwagala obwagazi entabaganya ye  nayo esajjakule era yetengerere  mu sayansi, tekinologia, ne yindasitule.
Obukwafuwavu(Density)
IALI NGO has been authorized by terminologist Muwanga Charles to post this article from his Luganda scientific works on Luganda wikipedia.
Ekirongoosabirwadde (Surgery)
(ii) Essomabulamu (Biology)
Essomakirongoosabirwadde(Surgery)
(iv) Essomabulwadde(Expertise in diagnosis and treatment  of sicknesses, medicine )
Enkola z'Omulengera (the Mental processes)
Yinginologia alambulula tekinologia (reverse engineering) yatandika okukozesebwa mu biseera bya sematalo ll, nga ensi ezaali mu lutalo buli emu etaddewo ekitongole kya yiginiyologia okukoppa tekinologia okuva ku byuma ebyali biwambiddwa okuva ku mulabe.
Essomakirongoosabirwadde(Surgery)
(v) Essomabujjanjabi (Nursing)
Enkola z'Omulengera (the Mental processes)
Ku mulembe guno amatendekero oba ebitongole bya sayansi mu mawanga agalina enteekateeka ennambulukufu mu kutondeka ebikole, biteekawo obukiiko bw’abakugu obukessi “okulambulula tekinologia” (to reverse engineer) w’ebyuma bya kampuni oba amawanga amalala. Kino kye kiyambye amawanga ne ebitongole okuteekawo tekinologia owabyo, kasita baba nga tebakubisaamu ebyo byennyini ebifaana ne bye baba bakoppye wabula bo ne bakozesa tekinologia ono okukola ebyuma ebibagiddwa mu ngeri eyawukana ku by’ekitongole kye bakesseeko tekinologia ono.
Essomakirongoosabirwadde(Surgery)
(v) Essomamalagala (Pharmacy)
Enkola z'Omulengera (the Mental processes)
Okusegeera n’okutegeera
Essomakirongoosabirwadde(Surgery)
(vi) Ssemaduuka w'eddagala(Pharmacy)
(viii) Edduuka ly'eddagala (Drug shop)
Ekirongoosabirwadde (Surgery)
(ii) Ebyobulamu (Health science/education and health services)
Essomakirongoosabirwadde(Surgery)
(x) Eddongooserezo (Theater)
(xi) Essomakulongoosa(Surgery)
(xii) Omulongoosabalwade(Surgeon)
Ekirongoosabirwadde (Surgery)
(iv) Essomabirwadde( Expertise in diagnosis and treatment  of sicknesses, medicine)
(iv) Essomabulwadde(Expertise in diagnosis and treatment  of sicknesses, medicine )
Ttiimu ya Vipers SC
Vipers SC ttimu y'omuzannyo gw'omupiira gw'ebigere esangibwa mu Kampala, Uganda. Baakazibwako erinnya ly'obusaggwa oba Nyokas (mu luswayiri kitegeeza misota).
Ekirongoosabirwadde (Surgery)
(v) Essomabujjanjabi (Nursing)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Kilaabu y'omupiira eno yatandikibwawo nga Bunamwaya FC mu 1969.
Ttiimu ya Vipers SC ezannye mu liigi ya Uganda ey'ababinywera okuva mu 2006 oluvanyuma lw'okuwangula liigi ya Wakiso Disitulikiti ne liigi y'okusunsulamu eya Super Mini League promotion mu 2005. Baamalira mu masekkati g'ekimeeza mu sizoni ez'omuddiŋŋanwa 2006–07.
Enkalala z'emiramwa gy'Ekibalangulo
•	Omusingi gwa namba ogwa mwenda		(base nine)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Nga bayambibwako pulezidenti Lawrence Mulindwa, kilaabu y'asayininga abazannyi eb'enjawulo ab'omugaso mu sizoni ya 2010, ga mw'alimu abazanyi musanvu abaali ku ttiimu y'eggwanga ey'omupiira mu biseera ebyo. Bunamwaya bawangula ekikopo ky'abwe eky'asooka mu liigi y'ababinywera nga bongera kw'ekyo ky'abaali balina. Tebaasobola kwetaba mu mpaka za liigi ya CAF mu 2011 olw'ensonga z'eby'ensimbi.
Bunamwaya tebaasobola kukuuma buwanguzi bw'abwe nga bamalira mu kifo ky'akusatu mu 2011 n'emu ky'okubiri mu liigi ya 2012.
Nga 21 Ogwomunaana 2012, Bunamwaya y'akyusibwa eriinya n'efuuka Vipers SC n'ekigendererwa "eky'okulinyisa omutindo gwa kilaabu" era n'okubafuula ab'enkizo mu Ggwanga lyonna.
Ekirongoosabirwadde (Surgery)
(vi) Ssemaduuka w'eddagala(Pharmacy)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Vipers bawangulwa mu mpaka ez'akamalirizo ez'omupiira gwa Uganda mu 2013 mu ngeri eyali emenya omutima. Oluvannyuma lw'okukulembera eddakiika 78 nga balina goolo eyali eibiddwa Joseph Mprade mu penati, Ssettendekero wa Victoria University yateeba goola mu mu saawa ey'akamalirizo era nebawanglwa mu penati 5–3.
Ekirongoosabirwadde (Surgery)
(viii) Edduuka ly'eddagala (Drug shop)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Obuwanguzi mu liigi bw'ajja oluvannyuma mu sizoni ya 2014–15 oluvanyuma lw'akalulu akakubwa nti Vipers yali yawangulwako omulundi gumu gwokka. Bakulemberwamu Edward Golola. Kilaabu eno erina enkolagana y'amaanyi n'essomero lya St. Mary's mu Kitende, ng'abazanyi 17 abaali ku tiimu eyawangula mu 2015 baava mu ssomero eryo.
Ekirongoosabirwadde (Surgery)
(ix) Omujjanjabi (nurse)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Obuwanguzi bw'asanga aba Vipers bali mu mpaka za ssemazinga wa Afrika omulundi ogwasookeraddal. Mu liigi ya 2016 CAF Champions League, baawangulwa omulundi gwaabwe ogwasooka mu mpaka za ssemazinga wa Afrika 2–1 eri ttiimu ya Enyimba FC ey'e Nigeria mu mpaka z'okusunsulamu.
Ekirongoosabirwadde (Surgery)
(x) Eddongooserezo (Theater)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Vipers yamalira mu ky'okubiri mu sizoni ya 2015–16 era obuwanguzi bwaabwe mu kikopo kya Uganda Cup, nga bawangula Onduparaka FC 3–1. Obuwanguzi buno bw'abasanyiza okwetaba mu mpaka za 2017 CAF Confederation Cup gy'ebakubira tiimu ya Volcan Club okuva mu Comoros 1–1 mu kukyala kwabwe mu lawundi y'okusunsulamu wabula bakubibwa tiimu ya South Africa Platinum Stars ku mulundi ogw'asooka 3–2 okuva ku penati eyaweebwa mu ddakiika eya 90.
Aba Vipers beetaba mu liigi ya 2018-19 CAF Champions League ng'eno bawangulwa aba CS Constantine okuva mu Algeria 3–0 nga bawandulwa ku mulundi ogusooka okuva mu kibinja.
Ekirongoosabirwadde (Surgery)
(xii) Omulongoosabalwade(Surgeon)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Mu Gwokutaaano 2020, Vipers sc balangirirwa ng'abawanguzi ba liigi ya Uganda ey'ababinywera mu 2019/2020 nga baakulembera n'obubonero 54 okuva mu mipiira 25 omulundi ogw'okuna mu byafaayo oluvanyuma lwa FUFA okusazaamu liigi olw'okubalukawo kw'ekirwadde kya COVID19.
Ekirongoosabirwadde (Surgery)
(xiv) Sseddagala/ Naddagala(Pharmacist)
Enkalala z'emiramwa gy'Ekibalangulo
Emisingi gya Namba(Number Systems or number bases)	Mu bufunze	English short form
Essomakirongoosabirwadde(Surgery)
(xiv) Sseddagala/ Naddagala(Pharmacist)
DEED
DEED kiva mu bigambo by'Olungereza "Double Exposure Education. Wano mu Uganda kyasalibwawo abaana ab'ebibiina ebya wansi abatandika basomesebwa mu nnimi zaabwe ez'obuzaaliranwa zokka naye ffe abamu tulowooza nti mu essomeso lye limu omwana omulamwa nga "endwadde y'ettalo" bagubanjulire mu Lulimi lwabwe nga Oluganda era baweebwe ekyagaanya okugukubako ebirowoozo. Kino bwe kiggwa omusomesa alyoke abanjulira omulamwa gwe gumu mu Lungereza kiyambe omwana okugutegeera mu Lulimi  lwe oluzaaliranwa n'olungereza okusobola okugutegeera obulungi.
Enkalala z'emiramwa gy'Ekibalangulo
2	Omusungi gwa namba ogwa bbiri	Omunabbiri	(binary)
Ttiimu ya Vipers SC
Ebyafaayo bya ttiimu eno
Mu Gwokuna 2022 Vipers yawangula KCCA FC ku kisaawe ky'e Lugogo 2-1 nga balumba okuva emabega nga bakozesa Kaputeeni waabwe Halid Lwaliwa ne Milton Marisa. Vipers SC era bawanika ekikopo oluvanyuma lw'okukuba Express FC 3-0 ku kisaawe kya St. Mary's n'emipiira ena egisigaddeyo ku sizoni ya 2021-2022
Obukwafuwavu(Density)
Obukwaafuwavu(Density). Omulamwa gw'Obukwafuwavu(density) guva mu kugattika ebigambo by'olugnada "obukwafu ekiwanvu".
Enkalala z'emiramwa gy'Ekibalangulo
4	Omusingi gwa namba ogwa nnya	Omunannya	(quaternary)
Enkola z'Omulengera (the Mental processes)
Okusegeera kwe kumanya kw’ebintu okuyita mu sensa y’okulaba, sensa y’okuwulira, sensa y’okukwatako, eyokuwunyiriza oba eyokulegako kyokka “okutegeera” kiva mu kukiteekako sensa ezo zonna wakati mu kwefumiitririza, okwekebejje, n’okwekenneenya. Wano oba okiraba nti ensolo nazo zisegeera kuba zirina sense ng’ez’omuntu omuli amaaso, amatu, n’endala zonna okumalayo ettaano naye obuzibu buli nti zo yadde zirina obwongo naye tezirina mulengera oba ka tugambe nti tezirina busobozi bwa mulengera (mental faculties).
Obukwafuwavu(Density)
Obukwafuwavu bw’enzitoya(mass density) oba obukwafuwavu (density) obwa matiiriyo oba sebusitansi kisonjolwa nga enzitoya yakyo ku buli namunigina ya volima. Akabonero k’obukwafu ye p.
Enkalala z'emiramwa gy'Ekibalangulo
5	Omusingi gwa namba igwa ttaano	Omunattaano	(Quinary)
6	Omusingi gwa namba ogwa mukaaga	Omunekaaga	 (Senary)
Enkola z'Omulengera (the Mental processes)
Sensa ey’okulaba esibuka mu maaso, ey’okuwulira mu matu, ey’okukwatako ku lususu, ey’okuwunyiriza mu nnyindo, n’eyokulegako ku lulimi. N’olwekyo okusegeera kuleetebwawo sensa zino ettaano. Okusegeera ky’ekikolwa ekisobozesa ebimu ku bikolwa ebigerekere ng’okulaba, okulya, okuwulira obulumi n’ okunyumirwa.
Obukwafuwavu(Density)
Obukwafu oba obukwafu bw’enzitoya(density) kiri mu buli kintu kubanga buli erementi n’ekipooli kirina obukwafu obw’enjawulo ku kirala. Obukwafu era kisnjolwa nga okuzitowa kw’ekintu ekirina volima entakyuuka(constant volume). Eky’okulabirako olwazi lukwafu okusinga ebipapula ebinyigiddwa awamu okulwenkana.
Enkola z'Omulengera (the Mental processes)
Ekisobozesa omuntu okufuna okumanya okuyita mu sense kiva mu sekaloopera (reflex) wakati w’obwongo bwo ne sensa yo gye kikwatako; sensa eroopera obwongo, obwongo ne bukola okutaputa, olwo mulengera (mind) n’akutegeeza obwongo kye bufunye. Buli sensa erina ekyagigerekerwa; sensa ey’okutunula kyagikerekerwa kulaba.
Okukongola kasooli
Edda mumyaka egy'ensanvu n'egyekinaana (1970s to 1980s) kasooli twali tumukongoza ngalo okuva ku ndebe npaka ku kutiiya, olusi nga bwaba mungi kangambe ekutiya emu kubiti n'okweyongerayo twakozesanga miggo nga ali mukutiya n'okuba okutuusa bwava ku bikongoliro
DEED
Eyo ye Double Exposure Education(DEED) IALI NGO gy'egoberera mu nteekateeka zaayo!!
Okukongola kasooli
Okukongola n'engalo
Olw'obulumi obwavanga ku mabavu abantu kyabawaliriza nga okuwumula ebanga eddene nga nga tebakongola, okufuna obujanjabi kubiwundu oba obulumi bwengalo okuweweramuko.
Kino ate kyatalanga obudde bungi okukongola kasooli okuwera.
Ebirungi
Mpozi ekirungi kugyo kasooli yali tabeeramu kasaniko nakamu era nga abera munyirivu era tewabanga manyi malala gatekebwamu kuwewa.
Ttiimu ya Vipers SC
Ekisaawe ky'abazannyiramu
Bazanyira mu kisaawe kya St. Mary's-Kitende, ekituuza abantu 25,000. Ekisaawe kino kyamalirizibwa okuddabirizibwa mu 2018 ne kisaawe kya kapeti.
Okukongola kasooli
Ebirungi
Olwokuba tewalinga kyakukola ng'ogguma okutusa bwomala.
Enkola z'Omulengera (the Mental processes)
Okulowooza okusegeevu (Concrete thinking) n’okulowooza okugereefu (abstract thinking). Omuntu alowooza mu busegeevu atunuulira essinzizo nga ekizimbe obuzimbe naye oyo alowooza mu bugereefu atunuulira essinzizo nga ekifo ekiraga obutonde bw’omuntu kalimagezi alaba Sabagezi, Namugereka, Katonda mu kibalo ne sayansi ali emabega w’obutonde n’obwengula.
Ttiimu ya Vipers SC
Abazannyi abali mu ttiimu kati
Mu Gwokutaano 25, 2022
Okukunganya Amazzi G'enkuba
OKUKUNGANYA AMAZZI G'ENKUBA
https://commons.wikimedia.org/wiki/File:Tanka_yamazzi_ag%27enkuba.JPG okukungula amazzi g'enkuba kwekutega n'okukunganya amazzi g'enkuba okugakozesa mu bintu ebyenjawuli era n'okugafunamu so sikugaleka kugenderea bwerere. Era nga gano tugakosesa mu malimiro, okukola awaka, amazzi g'okufukirira, okuwa e bisolo okunywa era n'okujanjabibwa obulungi era n'okukozesa munda mu mayumba okugeza nga mu binabiiri ne toilets z;omunda ne birara. Mubitundi ebisinga amazzi gakunganyizibwa ne gagenda mu binya bye bategese obulungi mwe gasobolera okwesengejja. Amazzi agakunganyizidwa gasobora okukola nga amazzi g'okunywa era n'okutereka era n'emirimu emira nga okufukirira ebirime.
Enkola z'Omulengera (the Mental processes)
Katonda oyo ali emabega wa sayansi n’ekibalangulo ekiri emabega w’obutonde agereesebwa okuba ow’ekyewuunyo, asaanidde okutenderezebwa mu kifo eky’enjawulo ekiyitibwa essinzizo.
Obukwafuwavu(Density)
Entebe ey’omuti teba na bukwafu nga bwa ntebe ya kyuma. Obukwafu n’olwekyo kikwata ku ngeri ekintu gye kipakiddwa okumukumu. Mu essomabuzimbe bwa atomu(chemistry), obukwafu bwa sebusitansi nnyingi bugeraageranyizibwa n’obukwafu bw’amazzi (density of water). Ekintu kitengejja ku mazzi oba kikka. Singa ekintu nga ekipapajjo ky’olubaawo kitengejja ku mazzi, amazzi gaba gakisinga obukwafu(obuzito) kyokka singa ekyuma kikka mu mazzi , ekyuma ekyo kiba kikwafu okusinga amazzi. Woyiro bw’atengejja ku mazzi kino kiba kiraga nti amazzi makwafu okusinga woiro. Eno y’ensonga lwaki singa tanka ya woyiro etiiriika ku nnyanja, kiba kyangu okulongoosa amazzi ago  nga gakokolebwa okuva kungulu kw’ennyanja.
Enkalala z'emiramwa gy'Ekibalangulo
7	Omusungi gwa naba ogwa musanvu	Omusenvu	( Septenary)
Obukwafuwavu(Density)
Obadde omanyi lwaki omuzira gutengejja ku mazzi ? Omuzira(ice) yadde nga nagwo gaba mazzi agakutte ate ggwo guwewuka okusinga mazzi gennyini kubanga amazzi gagusinga obukwafu.
Enkalala z'emiramwa gy'Ekibalangulo
8	Omusingi gwa namba ogwa munaana	Omunenna	(octal)
9	Omusingi gwa namba ogwa mwendas	Omunenda	(nonary)
Obukwafuwavu(Density)
Okusonjola obukwafu mu kibalangulo.
Enkola z'Omulengera (the Mental processes)
Kino kitegeeza nti okulowooza okukoma ku kusegeera, kukoma kw’ekyo ky’olabako n’amaaso go, ky’owunyiriza n’enyindo zo, ekisensera olususu lwo nga okikutteko, ky’owulira n’amatu go; ezo ze fakikya (facts). Yadde nga okulowooza okusegeevu nakwo kulimu enkola za mulegera, kukoma ku fakikya eziba zisegeddwa sensa.
Enkalala z'emiramwa gy'Ekibalangulo
10	Omusingi gwa namba ogwa kkumi	Omunekkumu	decimal)
Emisingi gya namba okuva ku gw’ekkumi n’ogumu okweyongera waggulu oyinza okugisoma nga si mifunze bwoti:
Enkola z'Omulengera (the Mental processes)
Okulowooza okugereefu (abstract thinking) kwetaagisa okukozesa obwongo oba omulengera gwo okusobola okufuna amakulu amakusike agali mu fakikya z’osegedde ne sensa zo. Abasegeevu (concrete thinkers) bafuna ekifaananyi kimu mu kintu ekiri awamu ate abalowooza abagereefu (abstract thinkers) balina ebifaananyi bya njawulo ebiri emabega w’ekintu ekiri awamu. Okulowooza okugereefu kwekuusuza ku kutaputa makulu ag’enjawulo g’ojja mu fakikya z’osegedde n’ennyindo, amaaso, olulimi, okukwatako oba okulegako. Okulowooza okugereefu bwe kuba nga kwekuusiza ku birowoozo, okulowooza okusegeevu kwekuusiza ku fakikya zokka nga bw’oba ozisegedde oba ka tugambe nga bwe ziba ziketteddwa sensa z’omubiri.
Okukongola kasooli
Ebirungi
Kyayamba nga omuntu okuba nga oli muzza nganda oba okuba omuntu wabantu kikuyambe okufuna abantu abakukwasizangako mu biseera eby'okukongola.
Ruth Wanyana
Ruth Wanyana (eyazaliibwa 4 September 1975) munnayuganda munnakatemba alabikidde mu firimu ne pulogulaamu ez'enjawulo ku ttivvi nga kwotadde n'okuwereeza ku leediyo ezitali zimu.
Emirimu gye
Wanyana yasokeera mu kibiina ekimanyidwa nga Black Pearls. Eyo gyeyava mu 1993 neyegatta ku kibiina ekirala ekya Afri Talents ekyali kitondeddwawo Abby Mukiibi.
Enkalala z'emiramwa gy'Ekibalangulo
Omusingi gwa namba ogwa kumi n’emu	(undenary)
Enkola z'Omulengera (the Mental processes)
Ensengeka y’ebirowoozo (logic) kuba kusengeka nsonga n’ozirambika oba n’ozirambulula mu ngeri ekwatagana era etegeerekeka. Okukozesa obwongo nga olambika oba nga olambulula ensonga byombi byeyambisa   ebirowoozo ebisengeke (logic). Waliwo akakwaate akatasattululwa wakati w‘obwakalimagezi n’ebirowoozo ebisengeke. Mu butuufu “ekipimo ky’obwakalimagezi” (EkkyO) kisinziira ku ngeri omuntu gy’alaga obusobozi bw’alina okusengeka ebirowoozo bye nga alambulula oba ng’alambika ensonga ez’enjawulo.
Beatrice Ayuru Byaruhanga
Obulamu bwe
Byaruhanga yali omu kubaana 16 abaazaaliwa kitaawe mu famire eyalimu abakyala abangi kitaawe beyali yawasa. Yakuzibwa mu Lira, ng'ate kitaawe yagyereggwa nga bweyali ayonoona ssente okusindika bawala okusoma, nga yandibadde abafunamu byabugagga okuva mu basajja abaali babawasiza mu bufumbo. Muwala we Byaruhanga yali aloota ng'alina esomero nga lirye. Kitaawe yamuwa ettaka okutandikako esomero, bweyalina emyaka 19, ng'era yali lubuto ng'asuubira okuzaala omwaka we eyali ow'okubiri.Yeeyali omuwala eyasooka okumaliriza okusoma siniya, n'agenda ku yunivasite. Yatikirwa ku setendekero ly'e Makerere, era n'atandika okusomesa.
Obukwafuwavu(Density)
Mu kibalangulo(mathematics), obukwafu busonjolwa nga enzitoya buli namunigina ya volima(density is mass per unit volume) , mu ggulaamu  oba cc. . . N’olwekyo :
Okukunganya Amazzi G'enkuba
OKUKUNGANYA AMAZZI G'ENKUBA
wano ewaffe e Mbazzi twatandika enkola eyomulembe era nga abantu b'ekitundu kino benyumiriza nnyo munkola eno kubanga ekyeya tekibatawanyiza kubanga amazzi bagalina mu bungi era nga basobola okutambuza polojekiti zabwe.
Enkalala z'emiramwa gy'Ekibalangulo
Omusingi gwa namba ogwa kumi na bbiri	(duodecimal)
Omusingi gwa namba igwa kumi na satu	(hexadecimal)
Okukunganya Amazzi G'enkuba
OKUKUNGANYA AMAZZI G'ENKUBA
Amazzi malungi nnyo era tugetaaga nnyo mu bulamu bwaffe obwabulijjo kubanga tukakozesa ffe nga abantu, ebirime, ebinyonyi awamu n’ebisolo.
Enkola z'Omulengera (the Mental processes)
Okwetegeera
Beatrice Ayuru Byaruhanga
Obulamu bwe
Bweyakitegeera nti yali yeetaaga ssente okuzimba esomero, yatandika okwennyigira mu bizineensi za mirundi esatu. Ogumu kugino kwaliko okusiimba muwogo kuttaka kitaawe lyeyali yamuwa. Bizineensi eno yamusobozesa okutandikawo esomero epya mu mwaka gwa 2000 mu disitulikiti ya Lira. Esomero lino limannyikiddwa nga Lira Integrated School, ng'era lisomesa abalenzi n'abawala. Mu myaka 7 egyasooka, ekifo kino tekyali kitebenkevu olw'ekibinja ky'abayeekera okuva mu Lord's Resistance Army, naye oluvannyuma baavayo mu mwaka gwa 2007.
Okukongola kasooli
Ebirungi
Mukino kyaleteranga abantu okuzaala ennyo olwokwagala okufuna omuwendo gw'abantu abango mu maka gabwe balyoke bangange ebizibu by'emirimu nga egyo okugeza okukongola kasoli nebirara.
Beatrice Ayuru Byaruhanga
Obulamu bwe
Yalina okubeera n'abaana mukaaga. Yeegata ku pulogulaamu ya EMPERTEC gyeyaweera ng'obuyambi er abaali baagala okutandikawo bizineensi zaabwe. Mu mwaka gwa 2014, esomero lye lyalina abayizi 1,500, nga 100 baakendeera olw'okuba baali tebasobola kufuna bisale by'amasomero ebya doola $90.
Ruth Wanyana
Emirimu gye
Mu bya leediyo, Wanyana yaliko omuwereeza ku mukutu gwa Beat FM okuviira ddala mu 2005 n'okutuusa 2016 gyeyava olwo n'agenda mu Amerika.
Enkalala z'emiramwa gy'Ekibalangulo
Omusingi gwa namba ogwa kumi na nnya 	(vigesimal)
Embeera ezibaawo ng’omukazi anaatera okugenda mu nsonga
Enfaana y’obuzibu buno
Kino kitegeeza obuzibu obubaawo[] mu ssande emu oba bbiri ng’omukyala tannnagenda mu nsonga ze. Embeera eno ebeera ekyukakyuka okuva mu mukazi omu okudda ku mulala era nga bubeerawo okutuusiza ddala ng’omusaayi gutandise okujja. Embeera ezisinga okulabika enyo mulimu; okufuukuuka olususu, amabeere okwepika, okuzimba olubuto, okuwulira obukoowu, okubabuukirirwa n’okukyukakyuka mu mbeera. Obubonero buno bubaaawo okumala ennaku mukaaga. Obubonero omukazi bw’afuna ng’anaaatera okugenda mu nsonga busobola okukyuka oluvannyuma lw’ekiseera era nga tebubaawo mu kiseera ng’ali lubuto oba ng’atuuse mu bbanga ly’okulekera awo okugenda mu nsonga.
Okukongola kasooli
Ebibi
Kasooli w'okukuba mu kutiya yasigalangako kubikongoliro so nga ate wakudibwamu okukongolwa ab'engalo.
Enkalala z'emiramwa gy'Ekibalangulo
Omusingi gwa namba ogwa kumi na ttaano	(sexagesimal)
Ruth Wanyana
Muzirakisa
Nga ayita mu kawefube eyatumiibwa "“Wanyana and Fans Day Out”, Wanyana yasobola okukunga bannakatemba banne mpozi nabawuliriza ba Beat FM okuddukirira abaana abataliko mwasirizi mu maka gaabwe aga Mercy Childcare Ministries . Ekikolwa kino era yakiddamu mu 2014 nga kuluno yakyaalira New Dawn Foundation ekisangibwa Entebbe omuli abaana n'abakyala abalina HIV/AIDS.
Enkalala z'emiramwa gy'Ekibalangulo
Omusingi gwa namba ogwa kumi na mukaaga
Ruth Wanyana
Firimu mwalabikidde
Mukutambuza emirimu gye mu nsiike y'okuzannya firimu, Wanyana yasobola okuzannya n'okulabikirako mu firimu zezitali zimu okugeza
Enkalala z'emiramwa gy'Ekibalangulo
Nga omubalanguzi atandika, manya bino: