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Rajashekhar Shirvalkar
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Module 11 programmed learning
1.
¯l®²ãŒ¬: 11 PÀæªÀiÁ£ÀÄUÀvÀ ¨ÉÆÃzsÀ£Á
¸ÀgÀtÂAiÀÄ «zsÀUÀ¼ÀÄ
2.
PÀæªÀiÁ£ÀÄUÀvÀ ¨ÉÆÃzsÀ£Á ¸ÀgÀtÂAiÀÄ
«zsÀUÀ¼ÀÄ gÉÃSÁvÀäPÀ / ¸ÀgÀ¼À jÃwAiÀÄ PÁAiÀÄðPÀæªÀÄ Linear Programming ±ÁTÃPÀÈvÀ ±ÉÊ°AiÀÄ PÁAiÀÄðPÀæªÀÄ Branching Programming ªÉÄxÀnPïì PÁAiÀÄð¸ÀgÀt Mathetics Programming
3.
: ªÁåSÉåUÀ¼ÀÄ : B.F.
¹Ì£Àßgï:- PÀæªÀiÁ£ÀÄUÀvÀ ¨ÉÆÃzsÀ£ÉAiÀÄ£ÀÄß ‚PÀ°AiÀÄÄ«PÉAiÀÄ «eÁÕ£À ªÀÄvÀÄÛ ¨ÉÆÃzsÀ£ÉAiÀÄ PÀ¯É JAzÀÄ ºÉýzÁÝgÉ. JqÀUÉgï qÁ¯É:- ºÀAvÀUÉƽ¹zÀ PÀ°PÉ JAzÀgÉ MAzÀÄ GzÉÝòvÀ ªÀvÀð£ÉAiÀÄ UÀÄjAiÀÄvÀÛ vÀ®Ä¥ÀĪÀ ¤UÀ¢vÀ PÀ°PÉUÁV ºÀAvÀ ºÀAvÀªÁV ¸ÁUÀĪÀ ¸ÀéPÀ°PÁ ¸ÁzsÀ£É. Edgar Dale :- Programmed learning is a systamatic step by step self instructional programe aimed to ensure the learning of stated behaviour. ¹ävï & ªÉÆíÃgÉ:- PÀæªÀiÁ£ÀÄUÀvÀ ¨ÉÆÃzsÀ£Á PÀæªÀĪÀÅ «µÀAiÀĪÀ¸ÀÄÛªÀ£ÀÄß PÀæªÀħzÀÞªÁV ºÀAvÀUÀ¼À°è AiÉÆÃf¸À®ànÖzÀÄÝ PÀ°PÁyðAiÀÄÄ CvÀåAvÀ ¸ÀÄ®¨sÀ¢AzÀ QèµÀÖvÉAiÀÄ PÀqÉUÉ ¸ÁUÀĪÀ ºÉƸÀ ¥ÀjPÀ®à£ÉUÀ¼ÀÄ, vÀvÀéUÀ¼ÀÄ &w¼ÀĪÀ½PÉAiÀiÁVzÉ.
4.
: ¸ÀgÀ¼À gÉÃSÁvÀäPÀ
AiÉÆÃd£É : ¸ÀgÀ¼À gÉÃSÁvÀäPÀ AiÉÆÃd£ÉAiÀÄ£ÀÄß B.F. ¹Ì£ÀgïgÀªÀgÀÄ C©üªÀÈ¢Þ ¥Àr¹zÀgÀÄ. EzÀÄ £ÉÃgÀªÁV QæAiÀiÁd£À C£ÀħAzsÀ£À PÀ°PÉAiÀÄ ¹zÁÝAvÀPÉÌ ¸ÀA§A¢ü¹zÁVzÉ. ¸ÀgÀ¼À jÃwAiÀÄ PÁAiÀÄðPÀæªÀÄzÀ°è ¨ÉÆÃzsÀ£Á ¸ÁªÀÄVæUÀ¼À£ÀÄß CxÀð¥ÀÆtð aPÀÌ ªÉÄnÖ®ÄUÀ¼À°è C£ÀÄPÀæªÀĪÁV EqÀ¯ÁUÀĪÀÅzÀÄ. EzÀPÉÌ ZËPÀlÄÖ JAzÀÄ PÀgÉAiÀÄÄvÁÛgÉ. ¸ÀgÀ¼À jÃwAiÀÄ PÁAiÀÄðPÀæªÀÄzÀ ®PÀëtUÀ¼ÀÄ: ¸ÀgÀ¼À jÃwAiÀÄ ZËPÀlÄÖUÀ¼À eÉÆÃqÀuÉ. vÀPÀëtªÉà ¥ÀĶÖÃPÀgÀt. ¥ÀæwQæAiÉÄUÉ ºÉZÀÄÑ MvÀÄÛ. MAzÉà GvÀÛgÀzÀ ¥Àæ±Éß. ¸ÀéAiÀÄA UÀw vÀvÀé.
5.
: gÉÃSÁvÀäPÀ ¸ÀgÀtÂAiÀÄ
CªÀUÀÄtUÀ¼ÀÄ : ºÉZÀÄÑ ¥ÀjuÁªÀÄPÁjAiÀiÁUÀzÀÄ. vÀ®£ÁvÀäPÀvÉUÉ ºÉZÀÄÑ MvÀÄÛ. ¸ÀÈd£ÁvÀäPÀ & ¥Àæw¨sÁªÀAvÀÀ «zÁåyðUÀ½UÉ ¸ÀÆPÀÛªÀ®è. ¢ÃWÀðPÁ® ¨ÉÆÃzsÀ£ÉUÉ ¸ÀÆPÀÛªÀ®è.
6.
: gÉÃSÁvÀäPÀ PÁAiÀÄð¸ÀgÀtÂAiÀÄ
GzÁºÀgÀuÉ : «µÀAiÀÄ:- £ÀªÀÄä PÀtÂÚUÉ PÁtĪÀ ªÀ¸ÀÄÛUÀ¼À°è WÀ£À, zÀæªÀ, C¤® 3 gÀÆ¥ÀzÀ°ègÀÄvÀÛªÉ. ¤¢ðµÀÖ UÁvÀæ, DPÁgÀ C¼ÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÀ ªÀ¸ÀÄÛ WÀ£À ¤¢ðµÀÖ UÁvÀæ EgÀzÉ DPÁgÀ C¼ÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÀ ªÀ¸ÀÄÛ, zÀæªÀ ªÀ¸ÀÄÛ, ¤¢ðµÀÖ DPÁgÀ, C¼ÀvÉ, UÁvÀæ F 3 EgÀ¢zÀÝgÉ CzÀPÉÌ C¤® JAzÀÄ PÀgÉAiÀÄÄvÉÛêÉ. 1) ¤¢ðµÀÖ UÁvÀæ, DPÁgÀ, C¼ÀvÉ F 3 EgÀ¢zÀÝgÉ CzÀPÉÌ ………… J£ÀÄߪÀgÀÄ. [C¤®] 2) ¤¢ðµÀÖ UÁvÀæ, DPÁgÀ, C¼ÀvÉAiÀÄ£ÀÄß ºÉÆA¢zÀ ªÀ¸ÀÄÛ …………………… [zÀæªÀ ªÀ¸ÀÄÛ]
7.
: ±ÁTÃPÀÈvÀ AiÉÆÃd£Á
¸ÀgÀt : (Blanching Style of peogramming) F «zsÁ£ÀªÀ£ÀÄß CªÉÄÃjPÁzÀ ªÀÄ£ÉÆëeÁÕ¤ N.A. PËæqÀgï (Crowder) gÀªÀgÀÄ ¸ÁzÀgÀ¥Àr¹zÁÝgÉ. ±ÁTÃPÀÈvÀ CxÀªÁ DAvÀjPÀ PÀæªÀiÁUÀvÀ AiÉÆÃd£É ¸ÀgÀtÂAiÀÄ PÀ°PÁ PÁgÀ£À DAvÀjPÀ ¨ÉÃrPÉUÉ C£ÀÄUÀÄtªÁV ¨ÁºÀå ªÀiÁzsÀåªÀÄ«®èzÉà ¥ÉÆgÉʹPÉƼÀÄîªÀ «zsÁ£ÀªÁVzÉ. ±Á ¥ÀæwAiÉÆAzÀÄ ZËPÀlÄÖ ºÉaÑ£À «µÀAiÀÄ ºÉÆA¢gÀÄvÀÛzÉ. ¸À gÀ §ºÀÄ GvÀÛgÀUÀ¼ÀÄ ºÉÆA¢¸À¯ÁVzÀÄÝ, «zÁåyðUÀ½UÉ «µÀAiÀÄzÀ CjªÁUÀÄvÀÛzÉ. t AiÀÄ vÀ¥ÀÄàUÀ¼ÀÄ w¢ÝPÉÆAqÀÄ ºÉÆÃUÀ®Ä CªÀPÁ±À. UÀÄ t E°è vÀÄ®£ÁvÀäPÀ, DAvÀjPÀ, ¸ÀjAiÀiÁV GvÀÛj¸ÀÄ«PÉ CªÀPÁ±À. UÀ ¼ÀÄ ªÉüÉAiÀÄ G½vÁAiÀÄ ªÁUÀÄvÀÛzÉ.
8.
HºÉUÉ ºÉZÀÄÑ CªÀPÁ±À.
±Á ¸À gÀ J¯Áè «µÀAiÀÄUÀ½UÉ §ºÀÄ GvÀÛgÀUÀ¼À ¥Àæ±Éß vÉUÉAiÀÄĪÀÅzÀÄ t PÀµÀÖªÁVzÉ. AiÀÄ C F ¥ÀzÀÝwAiÀÄÄ 6£Éà vÀgÀUÀw £ÀAvÀgÀzÀ «zÁåyðUÀ½UÉ ¸ÀÆPÀÛ. ªÀ UÀÄ F AiÉÆÃd£ÉAiÀÄÄ ªÉZÀÑzÁAiÀÄPÀªÁVzÉ. t UÀ ¼ÀÄ
9.
: ZËPÀlÄÖUÀ½UÉ GzÁºÀgÀuÉ
: UÀÄtPÁgÀ QæAiÉÄAiÀÄ°è UÀÄt¸À®àqÀĪÀ D JgÀqÀÄ ¸ÀASÉåUÀ¼À£ÀÄß UÀÄtPÀ JAvÀ®Ä §AzÀ GvÀÛgÀªÀ£ÀÄß UÀÄt®§Ý JAzÀÄ PÀgÉAiÀÄÄvÁÛgÉ. E°è 2x3=6 ¸ÀASÉå 2 & 3gÀ£ÀÄß UÀÄt®§ÝUÀ¼ÀÄ & ¸ÀASÉå 6gÀ UÀÄt®§ÝUÀ¼ÁVªÉ. ¸ÀASÉå 3£ÀÄß 2 ¸À® UÀÄt¹zÁUÀ §gÀĪÀ GvÀÛgÀªÉµÀÄÖ? GvÀÛgÀ: C) 6 §) 9 PÀ) 5 qÀ) w½AiÀÄ°®è ¤ªÀÄä GvÀÛgÀ C DVzÀÝ°è 2£Éà ZËPÀlÖ£ÀÄß £ÉÆÃrj ¤ªÀÄä GvÀÛgÀ § DVzÀÝ°è 3£Éà ZËPÀlÖ£ÀÄß £ÉÆÃrj ¤ªÀÄä GvÀÛgÀ PÀ DVzÀÝ°è 4£Éà ZËPÀlÖ£ÀÄß £ÉÆÃrj ¤ªÀÄä GvÀÛgÀ qÀ DVzÀÝ°è 5£Éà ZËPÀlÖ£ÀÄß £ÉÆÃrj »ÃUÉ ªÀÄÄAzÀĪÀgÉAiÀÄÄvÀÛzÉ.
10.
: ªÉÄxÉnPïì PÀæªÀiÁ£ÀÄUÀvÀ
PÁAiÀÄð¸ÀgÀt : (Mathetics Programming) ªÉÄxÉnPïì PÀæªÀiÁ£ÀÄUÀvÀ AiÉÆÃd£ÉAiÀÄ£ÀÄß n.J¥sï.V®âlðgÀªÀgÀÄ (1962)gÀ°è ¥Àæ¸ÀÄÛvÀ ¥Àr¹gÀÄvÁÛgÉ. ‘»£ÀßqÉ PÀæªÀiÁUÀvÀ’ªÀÅ ¥ÀÄ£À§ð®£À ¹zÁÝAvÀzÀ ªÀåªÀ¹ÜvÀ C£ÀéAiÀĪÁVzÀÄÝ PÀ°PÁ «µÀAiÀÄzÀ QèµÀÖvÉAiÀÄ£ÀÄß «±ÉèõÀuÉ ªÀiÁr £ÉÊ¥ÀÄtåvÉAiÀÄ£ÀÄß ¸Á¢ü¸ÀĪÀÅzÁVzÉ. ªÉÄxÉnPïì PÁAiÀÄð¸ÀgÀtÂAiÀÄ ®PÀëtUÀ¼ÀÄ: 1) F ±ÉÊ°AiÀÄÄ QèµÀÖªÁzÀ P˱À®åUÀ¼À£ÀÄß PÀ°AiÀÄ®Ä C¥ÉÃQëvÀ ªÀvÀð£É gÀƦ¸ÀĪÀ°è 3 «µÀAiÀÄ ªÀ¸ÀÄÛ«£À ªÉÄÃ¯É ¸ÀA¥ÀÆtð ¥Àæ¨sÀÄvÀéªÀ£ÀÄß ºÉÆAzÀ®Ä ¸ÀºÁAiÀÄPÀªÁUÀĪÀÅzÀÄ. 2) ¥Àæ¸ÀÄÛvÀ AiÉÆÃd£Á PÀæªÀÄzÀ°è ‘C¨sÁå¸À PÀæªÀÄUÀ¼ÀÄ’ (Exercise) JA§ vÁAwæPÀ WÀlPÀUÀ½zÀÄÝ EªÀÅUÀ¼À ¸ÀgÀ¼À jÃwAiÀÄ & ±ÁTÃPÀÈvÀ AiÉÆÃd£ÉUÀ¼À°ègÀĪÀ ZËPÀlÄÖ UÀ½VAvÀ ©ü£ÀߪÁVgÀÄvÀÛªÉ. ‚C¨sÁå¸À PÀæªÀÄUÀ¼À UÁvÀæUÀ½UÉ ¤²ÑvÀ ¤§ðAzsÀ«gÀzÉà «µÀAiÀÄ ªÁå¦ÛAiÀÄAvÉ «¸ÀÛj¸À¯ÁVgÀÄvÀÛzÉ. 3) »£ÀßqÉ ¸ÀgÀ¥Àt CxÀªÁ ¥ÀæwUÀªÀÄ£À ¸ÀgÀ¥Àt 3 ªÀÄÄRå ºÀAvÀUÀ¼À£ÉÆß¼ÀUÉÆArzÉ. ¥ÀævÀåQëvÉ, ¸ÀºÀ ¸ÀÆZÀ£É ºÁUÀÆ ©qÀÄUÀqÉ F ºÀAvÀUÀ¼À£ÀÄß M¼ÀUÉÆArzÉ. 4) F ¤AiÉÆÃd£ÉAiÀÄÄ »ªÉÄägÀļÀÄ«PÉAiÀÄ ¸ÀgÀ¥À½ vÀAvÀæªÀ£ÀÄß G¥ÀAiÉÆÃV¸ÀĪÀÅzÀÄ. F ¸ÀgÀ¥À½AiÀÄ°è C£ÀÄQæAiÉÄUÀ¼À C£ÀÄPÀæªÀÄvÉAiÀÄ£ÀÄß ¤zsÀðj¸À¯ÁVgÀÄvÀÛzÉ. AiÀiÁªÁUÀ®Æ ¸ÀgÀ¥À½ PÀ°PÉAiÀÄ°è ¥Àæ¨sÀÄvÀézÀ ªÉÄnÖ¯Éà PÉÆ£ÉAiÀÄ ªÉÄnÖ®Ä. »ªÉÄägÀ¼ÀÄ«PÉAiÀÄ ¸ÀgÀ¥À½AiÀÄ°è D ªÉÄnÖ®Ä ªÉÆzÀ®£ÉAiÀÄzÁVgÀÄvÀÛzÉ.
11.
GzÁºÀgÀuÉ: 1) 43gÀ ªÀUÀðªÀ£ÀÄß
PÀAqÀÄ »rAiÀÄĪÀÅzÀÄ. (A) PÉÆlÖ ¸ÀASÉåAiÀÄ 43£ÀÄß CzÀgÀ ªÉÆzÀ® CAQ (4) jAzÀ UÀÄt¸À¨ÉÃPÀÄ. 43 4 = 172 £ÀAvÀgÀ ¸ÀASÉå 43gÀ JgÀqÀÆ CAQ CA±ÀUÀ¼À£ÀÄß UÀÄt¹ ªÉÄð£À ªÉÆvÀÛzÀ°è PÀÆr¹j. 4 3 = 12 + 172 = 184 (B) ‘a’ £ÀÄß ªÉÄÃ¯É §AzÀ 184 JzÀÄgÀÄ Erj = 1849 (C) DzÀÝjAzÀ 43gÀ ªÀUÀðªÀÄAiÀÄ 1849 DUÀÄvÀÛzÉ.
12.
ªÉÄxÉnPïì PÁAiÀÄð¸ÀgÀtÂAiÀÄ CªÀUÀÄtUÀ¼ÀÄ: 1)
F ¤AiÉÆÃd£ÉAiÀÄÄ ¸ÀégÀÆ¥ÀzÀ°è vÁAwæPÀªÁVgÀĪÀÅzÀjAzÀ ¤AiÉÆÃdPÀ¤AzÀ P˱À®å, vÀgÀ¨ÉÃw & PÀæªÀĪÀ£ÀÄß ¤jÃQë¸ÀÄvÀÛzÉ. 2) EzÀÄ J¯Áè «µÀAiÀÄUÀ¼À PÀ°PÉAiÀÄ ¸ÁªÀÄVæUÉ & J¯Áè PÀ°PÉAiÀÄ GzÉÝñÀUÀ¼À ¸ÁzsÀ£ÉUÉ ¸ÀÆPÀÛ ªÁzÀÄzÀ®è. 3) F ¤AiÉÆÃd£ÉAiÀÄ°è ªÉÊAiÀÄQÛPÀ ©ü£ÀßvÉUÉ ¥Áæw¤zsÀå«®è. J®è «zÁåyðUÀ¼ÀÄ MAzÉà jÃwAiÀÄ°è PÀ°AiÀĨÉÃPÀÄ. 4) EzÀÄ ªÀÄAzÀ UÀw PÀ°PÉAiÀÄ ªÀÄPÀ̽UÉ ¸ÀÆPÀÛªÀ®è. 5) EzÀÄ ªÉZÀÑzÁAiÀÄPÀ AiÉÆÃd£ÉAiÀiÁVzÉ. G¥À¸ÀAºÁgÀ:-
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