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fâj« f‰Ã¤jš,
fâj« f‰wèš
cséaš
fâj¡ fšé
cséaš
Kiw rh®ªj f‰wš
nfh£ghL
Ïiz¥ò¡
f‰wš nfh£ghL
fs¡ f‰wš
nfh£ghL
brašghL rh®ªj
f‰wš nfh£ghL
Ãahn#
ò%z®
btë¥ghL rh®ªj
f‰wš nfh£ghL
fh¡nd
mRgš
m¿Î rh®ªj f‰wš
nfh£ghL
Ïiz¥ò¡ f‰wš nfh£ghL:
xU ö©lš, xU Jy§fš têahf f‰wè‹ btëel¤ij
khWgL»wJ.
ÏJ xUtifahd Ïiz¥ò¡ nfh£ghL
nk‹ik¥gL¤Jjš, tYñ£lš brŒjš
ÏJ xU Ïiz¥ò¢ r§»è
khztUila btëel¤ijahdJ btëænyna ÏU¡F«
fh£Áfis gh®¤J mj‹ _ynk fU¤ij¡ f‰W¡bfhŸ»wh‹.
Kiwrh®ªj f‰wš nfh£ghL
fs¡f‰wš nfh£ghL:
Ïa‰if rh®ªj Nœãiyænyna Ϫj f‰wš ÏU¡f
nt©L«.
fs¡f‰wš nfh£ghL
btë¡fh£Á¡
f‰wš
c£fh£Á¡
f‰wš
f‰wš mDgtkhdJ brašghLfë‹ _y« btë¥gL»wJ.
f‰wš mDgt« mo¥gil¤ Âw‹fŸ _y« btë¥gLjš
Âw‹fis rh®ªj mDgt«
É‹ Ãahn# k‰W« ò%z® ngh‹w cséaš m¿P®fŸ
FHªijfë‹ brašghL rh®ªj f‰wš nfh£ghLfis
étç¡»‹wd®.
brašghL rh®ªj f‰wš nfh£ghL
FHªijfŸ cyf¤ij¥ g‰¿ m¿ªJ bfhŸtj‰F
m¿Î k‰W« brašKiwfŸ rh¤Âakh»‹wd.
v©z‰w c‰Wneh¡»èUªJ FHªijfë‹
ntWt£l taš V‰gL»‹w m¿Î ts®¢Á ãiyfis¡
eh‹F ãiyfëš Ãahn# étç¡»‹wh®.
m¿Î¤Âw‹ ts®¢Á goãiyfŸ :
òy‹ Ïa¡fãiy (0 – 2 taJ tiu)
bray¡F K‰g£l ãiy (2 – 7 taJ tiu)
òyÜlhd braš ãiy (7 – 11 taJ tiu)
fU¤Âaš ãiy (11¡F nkš)
Ãahn#æ‹ m¿Î ts®¢Á¡ nfh£ghL
FHªijæ‹ m¿Î¤Âw‹ ts®¢Á òy‹ cW¥òfŸ → m¿é‹
thæšfŸ
Nœãiyæ‹ _ykhf¡ f‰wš
clš Ïa¡f brašghLfŸ _ykhf m¿Î ts®¢Á V‰gL»wJ.
FHªijahdJ Ka‹W jt¿¡ f‰W¡ bfhŸ»wJ.
Ãwªj FHªij 4 khj« tiu gh®¤jš, N¥òjš, bgWjš ngh‹w
brašfëš <LgL»wJ.
òy‹ Ïa¡f ãiy ( 0 – 2 taJ tiu)
m¿é‹ ts®¢Á¡F cfªj ãiy
FHªijfS¡F òy‹ ö©lš Mu«gkhF«
Kªija mDgt¤ij ÂU«g¡ TW«
bkhê cz®Î Mu«gkhF«, bkhêiaÍ« XusÎ ga‹gL¤j¤ Jt§F»wJ
cæu‰w bghU£fis cæUŸs bghU£fshf ghé¤jš
FHªijæl« Áªjid ts®ªÂUªjhY«, mš be»œÎ¤ j‹ik ÏU¡fhJ.
milahs§fŸ, F¿ Ït‰iw¥ òçªJ bfhŸS« ãiy
fz¡»š gU¥bghUŸfis tçir¥gL¤j bjçahJ. bjhl®òfis m¿ªJ
bfhŸs ÏayhJ
v®¢ braiy m¿ªJ bfhŸS« Âw‹ bgw KoahJ
msitfŸ, m©lbtë (space) g‰¿a fâj¡ fU¤Jfis V‰W¡ bfhŸs
ÏayhJ.
bray¡F K‰g£l ãiy (2 – 7 taJ tiu)
Ϫj¥ gUtkhdJ fâj¡ fU¤J ts®¢Á¡nf‰w gUt«
Ϫãiy fU¤Jfis bgw¡Toa ãiy
bghUŸfis tif¥gL¤Jjš, x‰Wik nt‰Wikfis cz®jš
xU fU¤ij¥ g‰¿ gy g©òfëš és¡Fjš, tçir¥gL¤Jjš
v.fh.: F¢ÁfŸ, gªJfŸ Ït‰¿‹ Ús«, jo¥ò mšyJ VjhtbjhU mo¥gilæš
tçirahf mik¤jš.
fâj brašfë‹ v®¥gaid m¿jš ãiy
fâj fU¤Jfis x¥Ã£L¥ gh®¤jš k‰W« ntWgL¤Â¥ gh®¤jš
xU fU¤ij K‹D«Ã‹Dkhf òy¥gL¤Â gh®¤jš
fâj fU¤Jfë‹ khwh¤ j‹ikia òçªJ bfhŸSjš
v.fh.: 4 + 3 = 7 v‹whY« 3 + 4 = 7 rk«. mj‹ kÂ¥ò khwhJ v‹gij òçªJ
bfhŸ»wh®fŸ.
òyÜlhd brašãiy (7 – 11 taJ tiu)
FHªijahdJ Ϫãiyæš FkugU¤Âš mobaL¤J it¡»wJ
fU¤Âaš Áªjid cUthF«
gH¡f¥g£l fU¤JfŸ, nfh£ghLfis c©ik Nœãiyæš
bghU¤Â gh®¤jš
v.fh.: mséLjš, v©â¡if
tU§fhy¤Â‰F njitahd òÂa njitfis Rakhfnt
cUth¡Fjš
Rakhfnt xU bghJéÂia cUth¡Fjš
Rakhfnt fâj fU¤Jfis Ô®¡f KaYjš
fU¤Âaš ãiy (11 ta‰F nkš)
braš ika« _ykhf f‰W¡ bfhŸSjš
khzt® ika¡ fiy¤Â£l«
òy‹ cW¥òfŸ _ykhf brŒJ f‰W¡ bfhŸSjš
ghÁfŸ, F¢ÁfŸ _y« x‹WfŸ, g¤JfŸ, üWfŸ v‹w ÏlkÂ¥Ãid
v©âaèš f‰W¡ bfhŸ»wh®fŸ.
bghJéÂia cz®jY«, cUth¡FjY«
xG¡f ts®¢Á, m¿Î ts®¢Á, ga‹gh£L ts®¢Á, r_f ts®¢Á
M»ait cUth»wJ.
Âw‹fŸ cUthF« ãiy
Ãu¢ridia Ô®¡f¡Toa Âw‹fŸ tsU«
òJikia¡ f©LÃo¤jš
Rakhf¡ f‰wš
c©ikahd f‰wš
bkhê¡ f‰wš
ghlÏiz k‰W« Jiz brašfŸ _ykhf C¡Fé¤jš.
fšé¤ jh¡f§fŸ:
b#nuh« v°.òUz® jdJ “THE PROCESS OF
EDUCATION” v‹w üèš f‰wš
nfh£gh£oid vL¤Jiu¡»‹wh®.
FHªijæ‹ bjhl¡fãiy mDgt¡f‰wyhdJ
fh£Á ãiyæ‹ _y« jh‹ bjhl§f»wJ
v‹»wh®.
Ãahn#, ò%z® ÏUtU« m¿é‹ ts®¢Áia¥
g‰¿na TW»wh®fŸ.
ò%zç‹ fU¤J¥go kåj _isahdJ _‹W
ãiyfëš m¿Î ts®¢Áia bgW»wJ.
ò%zç‹ m¿Î ts®¢Á¡ nfh£ghL
ò%zç‹ m¿Î ts®¢Á¡ nfh£ghL
brašrh®ªj m¿jš ãiy)
cUt« rh®ªj m¿jš ãiy (3 - 7taJ)
F¿pL rh®ªj m¿jš ãiy
0-3 taJ
7taJ¡F
nkš
3-7 taJ
m¿é‹ ts®¢Áæny brašgLãiy v‹gJ Kjšãiy
MF«.
bghUŸfis bjh£L cz®ªJ f‰W¡ bfhŸS« ãiy.
òy‹ Ïa¡f ãiy Mu«gkh»wJ.
braš rh®ªj m¿jš ãiy (0-3 taJ)
bghUë‹ brašgL¤j‹ikia cUtf¥gL¤Â TWjš.
f‰gid¤Âw‹ cUthF«.
kd¤Âiuæš bfh©LtªJ f‰F« ãiy.
gl« mšyJ ëg« mšyJ rhaš _ykhf f‰wš.
v.fh.
gl¤Âš cŸs bghU£fis gh®¤J, mj‹ v©â¡ifia
vGj¢ brŒayh«.
eh£r¤Âu«
gªJfŸ
ó¡fŸ
cUt« rh®ªj m¿jš ãiy (3-7 taJ)
fhuz« m¿jš, Áªjid Âw‹ ts®»wJ.
bghJika¡ fU¤J cUthF« ãiy.
kdš njh‹Wtij F¿plhf, bkhêahf btë¥gL¤J« ãiy.
E©z¿Î ts®¢Á ntfkhf brašgL«.
F¿pL rh®ªj m¿jš ãiy ( 7 taJ¡F nkš)
btë¡bfhzu¡Toa Âw‹fis mo¥gilahf¡
bfh©lJ
f‰wyhdJ m¿Î rh®ªj Âw‹ mo¥gilæš ÏU¡f
nt©L«.
fh¡nd k‰W« mRgš ngh‹w m¿P®fë‹
nfh£ghLfshdJ btë¥ghL rh®ªj f‰wš nfh£ghLfŸ
MF«.
btë¥ghL rh®ªj f‰wš nfh£ghL
Robert M. Gagné
1916-2002
ÏJ btë¥ghL rh®ªj f‰wš
nfh£ghL MF«. bt‰¿ia ju¡
Toajhf ÏU¡F«
Ï¡f‰wš nfh£ghlhdJ f‰wè‹
btëel¤ijia m¿ÎW¤J»wJ.
Ïuhg®£ fh¡ndæ‹ f‰wš
nfh£ghLf¿š _‹W goãiyfŸ
cŸsd.
fh¡nd – v©tif¡ f‰wš
f‰wè‹ btëel¤ij (Categories)
jftš bkhê mikÎ (Verbal Information)
E©z¿Î¤ Âw‹fŸ (Intellectual Skills)
m¿Îrh®ªj £l§fŸ (Cognitive Strategie)
clš Ïa¡f¤Âw‹fŸ (Motor Skills)
eh£l« (Attitudes)
v©tif¡ f‰wš
f‰Ã¤jš mik¥ò
Ïuhg®£ fh¡nd 3 goãiyfŸ
Verbal
 Stating previously learned materials such as facts,
concepts, principles, and procedures
 Critical Learning Conditions
 Draw attention to distinctive features by variations in print
or speech.
 Present information so that it can be made into chunks.
 Provide a meaningful context for effective encoding of
information.
 Provide cues for effective recall and generalization of
information.
Intellectual Skills
 Discriminations: Distinguishing objects, features, or symbols, e.g.,
hearing different pitches played on a musical instrument
 Concrete Concepts: Identifying classes of concrete objects, features,
or events, e.g., picking out all the green M&Ms from the candy jar
 Defined Concepts: classifying new examples of events or ideas by
their definition, e.g., noting "she sells sea shells" as alliteration
 Rules: Applying a single relationship to solve a class of problems, e.g.,
calculating the earned run averages (ERA) of the Atlanta Braves
 Higher Order Rules: Applying a new combination of rules to solve a
complex problem, e.g., generating a balanced budget for a state
organization
Intellectual Skills (cont.)
 Critical Learning Conditions
 Call attention to distinctive features.
 Stay within the limits of working memory.
 Stimulate the recall of previously learned component
skills.
 Present verbal cues to the ordering or combination of
component skills.
 Schedule occasions for practice and spaced review.
 Use a variety of contexts to promote transfer.
Cognitive Strategies
 Employing personal ways to guide learning,
thinking, acting, and feeling
 Critical Learning Conditions
 Describe or demonstrate the strategy.
 Provide a variety of occasions for practice using
the strategy.
 Provide informative feedback as to the creativity
or originality of the strategy or outcome.
Attitude
 Choosing personal actions based on internal states of
understanding and feeling
 Critical Learning Conditions
 Establish an expectancy of success associated with the
desired attitude.
 Assure student identification with an admired human
model.
 Arrange for communication or demonstration of choice of
personal action.
 Give feedback for successful performance; or allow
observation of feedback in the human model.
Motor Skills
 Executing performances involving the use
muscles
 Critical Learning Conditions
 Present verbal or other guidance to cue the
executive subroutine.
 Arrange repeated practice.
 Furnish immediate feedback as to the accuracy of
performance.
 Encourage the use of mental practice.
bghJ éÂfis¡ f‰wš (Rule Learning)
ö©lš Jyfš bjhl®òfis¡ f‰wš (Stimulus Learning response)
K‹ò f‰wt‰iw Ïiz¤J òÂa f‰wiy cUth¡FtJ (Chaining)
Ãç¤Jz®ªJ f‰wš (Discrimination Learning)
bghJ¡ fU¤Jfis¡ f‰wš (Concept Learning)
Á¡fš Ô®¤jš (Problem Solving)
brh‰fis¤ bjhl®ò gL¤Jjš (Verbal Association)
irif¡F¿fë‹ bghUSz®jš (Signal Learning)
v©tif¡ f‰wš
MÂfhy kåj‹ j« v©z§fis btë¥gL¤j
iriffisÍ«, F¿fisÍnk ga‹gL¤Âdh‹.
FHªijfël« irif fh£L«nghJ mt®fŸ mjid¥òçªJ
bfh©L brašgLtij¡ fhzyh«
Funyhir vG¥òjš, iffhš cš mirÎfŸ _ykhf
iriffis btë¥gL¤J»nwh«
v.fh:
fâj¤Âš 1, 2, 3, . . . . 9, 10 v‹W v©Qtj‰F«,
iriffis ga‹gL¤J»nwh«
ÏJ äf vëa Kiw f‰wš MF«.
irif¡F¿fë‹ bghUSz®jš:
ö©lš – Jy§fšfS¡F Ïilna _‹W tiffëš bjhl®ò
V‰gL»wJ.
 j£L¤ jLkh¿¡ f‰wš (jh®©il¡) (Operant conditioning)
 M¡fãiyÍW¤jš (°»‹d®) (Classical conditioning)
 c£fh£Á _y« f‰wš (nfhy®) (Insight Learning)
J©lš – Jy§fš bjhl®òfis¡ f‰wš
ÏJΫ M k¡fŸ mšyJ FHªijfŸ ifahS« ãiy.
v.fh.
thŒghL r‰F« nghJ 7 x 6 v‹d v‹W nf£F« nghJ
FHªijfŸ gy éilfis¡ T¿ Ë rçahd éilia¡
TWt®
VjhtJ xU rk‹gh£il Ô®¤jš (vªjbthU étu¤ijÍ«
më¡fhkš Ô®¤jš)
j£L¤ jLkh¿¡ f‰wš
vëikæèUªJ fod¤Â‰F bršYjš
v.fh
jåt£o fz¡»Ljš
mrš P = %.100, t£oÅj« r = 1% fhy« n = 1 tUl«
Pnr 100 x 1 x 1
I = I = = 1%
100 100
M¡fãiyæW¤jš
Ïš f‰wš cldoahf ãfœ»wJ. xU
Ãu¢rid¡fhd ԮΠÂObud kdš njh‹Wtnj c£fh£Á vd¥gL«.
v.fh:
éLfijfŸ, ò® ngh‹witfS¡F ԮΠfhQjš
c£fh£Á _y« f‰wš
K‹ò f‰wt‰iw Ïiz¤J òÂa f‰wiy
cUth¡Fjš
Kªija mDgt¤Jl‹ bjhl®òilaJ
xU nfŸé¡F gy gšfŸ TWtJ mjhtJ xU ö©lš –
gy Jy§fiy btë¥gL¤Jjš
v.Fh
T£lè‹ RU¡fnk bgU¡fš
2 + 2 + 2 + 2 + 2 = 10 = 5 x 2 = 10 ( 5 jlit 2)
Ïiz¥ò¡f‰wèš ÏUªJ f‰W¡bfhŸSjš
gy ö©lš Jy§fš ãiyæèUªJ f‰W¡ bfhŸSjš
th®¤ijfis tif¥gL¤Jjš
v.fh:
 xUgo, ÏUgo msÅLfS¡F cŸs ntWghL
 fdmsÎ – gu¥gsÎ ntWghL
brh‰fis¤ bjhl®ògL¤Jjš
S R s R
Object Observation Internal representation Verbal representation
Ãç¤Jz®ªJ f‰wš
Ïu©L mšyJ mj‰F nkyhd fâj
fU¤JfS¡»ilna cŸs ntWgh£oid bjçªJ
bfhŸtJ.
v.fh:
rJu« , br›tf« - ntWghL
nkny cŸs IªJ ãiyfisÍ« cŸsl¡»aJ
xU bghUis g‰¿a gy j‹ikfis bjçªJ bfhŸSjš
v.fh: eh‰fu¡ FL«g«
rJu« br›tf«
eh‰fu«
rhŒrJu«
bghJ¡ fU¤Jfis¡ f‰wš
Ïizfu«
bghJéÂfis¡ f‰wš
bghJik¡ fU¤Jfis Ïiz¤J éÂfë‹ bjhl®òfis
V‰gL¤jyh«. xU éÂæèUªJ Ï‹bdhU éÂia¡ f‰W¡
bfhŸSjš.
v.fh:
2-tJ thŒ¥gh£o‹ _y« 4-tJ thŒ¥gh£il f‰Ã¤jš
v©tifk f‰wèny äf ca®ªj ãiy
xU Ô®é‹ j‹ikia g‰¿, bghUë‹ j‹ikia¥ g‰¿
gF¤jY«, bjhF¤jY« MF«
òÂad f©l¿jš, òJikfis tunt‰wš.
v.fh:
nj‰w¤Â‰F ԮΠfhQjš
Á¡fš Ô®¤jš
E©z¿Î Âw‹fis rh®ªJjh‹ ÏjDila
f‰wšnfh£ghL mikÍ«.
nfh£gh£o‹ mo¥gilæšjh‹ f‰Ã¤jš E£g¤ij
cUth¡Fjš
Ïš 9 ãfœÎfŸ cŸsd. mit
ftd« <®¤jš
bghUis milahs« fhQjš (F¿¡nfhŸ)
K‹ m¿it bfh©L tUjš
ö©liy ãiyãW¤jš
f‰wY¡F têfh£Ljš
jFÂah¡Fjš
Ë}£l« më¤jš
jFÂis kÂ¥ÃLjš
f‰wiy ãW¤jš k‰W« kh‰Wjš
f‰Ã¤jš mik¥ò mšyJ E£g«:
The Phases of Learning
 Gagné described learning as a series of 8 phases that
the learner goes through but is unaware of (Gagné,
1974)
 Motivation Phase – Expectancy
 Apprehending Phase – Attention Selective Perception
 Acquisition Phase – Coding: Storage Entry
 Retention Phase – Memory Storage
 Recall Phase – Retrieval
 Generalization Phase – Transfer
 Performance Phase – Responding
 Feedback Phase -- Reinforcement
What is learning?
 Gagné believed that an external observer could recognize learning by
noting behavioral changes that remains persistent over time (Gagné,
1974)
 He also stated that maturation is not learning because the individual does
not receive stimulation from the outside environment (Gagné, 1974).
 Learning has two parts, one that is external to the learner and one that is
internal (Gagné, Briggs, & Wager, 1992)
Learning and the Teacher
 Gagné felt that the teacher’s job was to provide instruction
(Gagné, 1974).
 Gagné defined instruction as “the set of events designed to
initiate, activate, and support learning in the human learner.”
(Gagné, 1974)
 The teacher had three primary functions:
 Designer
 Manager
 Evaluator
mªj khztDila f‰wš m¿éaš ÏUªJ f‰wš – f‰Ã¤jš
Nœãiyia cUth¡fyh«.
fh£Á¥ bghUŸfŸ _y« f‰Ã¤jš – bjhl¡f¥ gŸë
khÂç _y« f‰Ã¤jš – Ïilãiy¥ gŸë
vëa ãiyæèUªJ fod ãiy¡F¢ bršYjš
Á¡fyhd Ãu¢ridia vëikahf¤ Ô®¤jš
xU j‹ikæèUªJ k‰bwhU j‹ikia Ãç¤Jz®ªJ f‰wš
bghJ éÂia f©Lz®jš
f‰wš f‰Ã¤jš neh¡f§fis tiuaW¤J¡ bfhŸSjš
fšé¤ jh¡f§fŸ:
mRgš – fšé¡nfh£ghL
nlé£ mRbgšè‹ f‰wš nfh£ghlhdJ khzt® ghl¤ÂYŸs
fU¤J¡fis v›thW f‰»wh®? v‹gJ g‰¿ étç¤jš
khzt® étç¤J¡ f‰wš Kiwæš Áw¥ghf¡ f‰f KoÍ«.
brhšy¥ nghtij¢ brhšYjš, Ëd® mij¢ brhšYjš,
mj‹ Ëd® brhšèat‰iw¢ brhšYjš étç¤J¡
f‰Ã¤jš vd¥gL«.
étç¤J¡ f‰wiy gaDilajh¡Fjš
Kiwahd f£lik¥ò
ghlK‹dik¥òfŸ
Áw¥òfŸ:
f‰wš, f‰Ã¤jš, fiy¤Â£l« xU§»iz¥ò
KGj¿ªJ f‰wš
éçÎiu Kiw, gŸë¥ ghlüš jahç¥Ãš ga‹ghL
MÁçaU¡F têfh£Ljš
ghl K‹dik¥òfis¡ f‰Ã¤jš
étç¤J¡ f‰wèš cŸs FiwghLfŸ
bghUŸ òçahkš ghl¤ij kdd« brŒa¤ ö©Ljš
m¿Î kªj¤ij ts®¤jš
f‰wt‰iw bghUs‰wjhf¢ brŒjš
f‰w ghl¥bghUis éiuéš kw¡f VJth»wJ.
ghl« bjhl§F« K‹, ghl K‹dik¥òfis¡ f‰Ã¤jš
f‰f¥nghF« òÂa fU¤J, f‰wš F¿¡nfhis R£o¡fh£lš
bjhl®ògL¤Â¡ f‰Ã¤jš
khzt®fë‹ f‰wš milit nrh¤J, mL¤j gF¡F¢
bršYjš
bjhF¤J Ïiz¤J x‹WgL¤Â¡ TWjš
x¥gil¥òfŸ tH§Fjš
fšé¤ jh¡f§fŸ:
Ánk£o¡ f‰wš
ç¢r®£ °bl«¥
E©z¿Î
cŸsh®ªj braš Âw‹
ÃuÂgè¥ò
brašghL
m¿Î¥ bg£lf«
òy‹fh£Á, clš Ïa¡f fh£Á _y« btë¥gL¤jš
giHa – òÂa mDgt m¿Î Ïiz¥ò
°»kh
m¿Î rh®ªj f‰wš nfh£ghLfŸ
ÃuÂgè¥ò :
f‰gij, f‰W¡bfh©lij btë¥gL¤Jjš
fâj fU¤Jfis f‰W¡ bfhŸs¥gL« nghJ btë¡bfhzU«
nghJ ÃuÂgè¥ò j‹ik btë¥gL»wJ.
cŸsh®ªj brašÂw‹ :
Áªjidia¢ rh®ªjJ
fh£Á têahd Áªjid – gF¤jš têahd Áªjid
Ïit x‹Wl‹ x‹W bjhl®òilaJ
nk‰gh®it üšfŸ:
1. fâå f‰Ã¤jš jhŸ – 1
gh. måjh, uh. gh®¤Âg‹, $, »UZzh g¥ënfõ‹° br‹id
2. fâj« f‰Ã¤jš
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psychological theories

  • 2. fâj¡ fšé cséaš Kiw rh®ªj f‰wš nfh£ghL Ïiz¥ò¡ f‰wš nfh£ghL fs¡ f‰wš nfh£ghL brašghL rh®ªj f‰wš nfh£ghL Ãahn# ò%z® btë¥ghL rh®ªj f‰wš nfh£ghL fh¡nd mRgš m¿Î rh®ªj f‰wš nfh£ghL
  • 3. Ïiz¥ò¡ f‰wš nfh£ghL: xU ö©lš, xU Jy§fš têahf f‰wè‹ btëel¤ij khWgL»wJ. ÏJ xUtifahd Ïiz¥ò¡ nfh£ghL nk‹ik¥gL¤Jjš, tYñ£lš brŒjš ÏJ xU Ïiz¥ò¢ r§»è khztUila btëel¤ijahdJ btëænyna ÏU¡F« fh£Áfis gh®¤J mj‹ _ynk fU¤ij¡ f‰W¡bfhŸ»wh‹. Kiwrh®ªj f‰wš nfh£ghL
  • 4. fs¡f‰wš nfh£ghL: Ïa‰if rh®ªj Nœãiyænyna Ϫj f‰wš ÏU¡f nt©L«. fs¡f‰wš nfh£ghL btë¡fh£Á¡ f‰wš c£fh£Á¡ f‰wš
  • 5. f‰wš mDgtkhdJ brašghLfë‹ _y« btë¥gL»wJ. f‰wš mDgt« mo¥gil¤ Âw‹fŸ _y« btë¥gLjš Âw‹fis rh®ªj mDgt« É‹ Ãahn# k‰W« ò%z® ngh‹w cséaš m¿P®fŸ FHªijfë‹ brašghL rh®ªj f‰wš nfh£ghLfis étç¡»‹wd®. brašghL rh®ªj f‰wš nfh£ghL
  • 6. FHªijfŸ cyf¤ij¥ g‰¿ m¿ªJ bfhŸtj‰F m¿Î k‰W« brašKiwfŸ rh¤Âakh»‹wd. v©z‰w c‰Wneh¡»èUªJ FHªijfë‹ ntWt£l taš V‰gL»‹w m¿Î ts®¢Á ãiyfis¡ eh‹F ãiyfëš Ãahn# étç¡»‹wh®. m¿Î¤Âw‹ ts®¢Á goãiyfŸ : òy‹ Ïa¡fãiy (0 – 2 taJ tiu) bray¡F K‰g£l ãiy (2 – 7 taJ tiu) òyÜlhd braš ãiy (7 – 11 taJ tiu) fU¤Âaš ãiy (11¡F nkš) Ãahn#æ‹ m¿Î ts®¢Á¡ nfh£ghL
  • 7. FHªijæ‹ m¿Î¤Âw‹ ts®¢Á òy‹ cW¥òfŸ → m¿é‹ thæšfŸ Nœãiyæ‹ _ykhf¡ f‰wš clš Ïa¡f brašghLfŸ _ykhf m¿Î ts®¢Á V‰gL»wJ. FHªijahdJ Ka‹W jt¿¡ f‰W¡ bfhŸ»wJ. Ãwªj FHªij 4 khj« tiu gh®¤jš, N¥òjš, bgWjš ngh‹w brašfëš <LgL»wJ. òy‹ Ïa¡f ãiy ( 0 – 2 taJ tiu)
  • 8. m¿é‹ ts®¢Á¡F cfªj ãiy FHªijfS¡F òy‹ ö©lš Mu«gkhF« Kªija mDgt¤ij ÂU«g¡ TW« bkhê cz®Î Mu«gkhF«, bkhêiaÍ« XusÎ ga‹gL¤j¤ Jt§F»wJ cæu‰w bghU£fis cæUŸs bghU£fshf ghé¤jš FHªijæl« Áªjid ts®ªÂUªjhY«, mš be»œÎ¤ j‹ik ÏU¡fhJ. milahs§fŸ, F¿ Ït‰iw¥ òçªJ bfhŸS« ãiy fz¡»š gU¥bghUŸfis tçir¥gL¤j bjçahJ. bjhl®òfis m¿ªJ bfhŸs ÏayhJ v®¢ braiy m¿ªJ bfhŸS« Âw‹ bgw KoahJ msitfŸ, m©lbtë (space) g‰¿a fâj¡ fU¤Jfis V‰W¡ bfhŸs ÏayhJ. bray¡F K‰g£l ãiy (2 – 7 taJ tiu)
  • 9. Ϫj¥ gUtkhdJ fâj¡ fU¤J ts®¢Á¡nf‰w gUt« Ϫãiy fU¤Jfis bgw¡Toa ãiy bghUŸfis tif¥gL¤Jjš, x‰Wik nt‰Wikfis cz®jš xU fU¤ij¥ g‰¿ gy g©òfëš és¡Fjš, tçir¥gL¤Jjš v.fh.: F¢ÁfŸ, gªJfŸ Ït‰¿‹ Ús«, jo¥ò mšyJ VjhtbjhU mo¥gilæš tçirahf mik¤jš. fâj brašfë‹ v®¥gaid m¿jš ãiy fâj fU¤Jfis x¥Ã£L¥ gh®¤jš k‰W« ntWgL¤Â¥ gh®¤jš xU fU¤ij K‹D«Ã‹Dkhf òy¥gL¤Â gh®¤jš fâj fU¤Jfë‹ khwh¤ j‹ikia òçªJ bfhŸSjš v.fh.: 4 + 3 = 7 v‹whY« 3 + 4 = 7 rk«. mj‹ kÂ¥ò khwhJ v‹gij òçªJ bfhŸ»wh®fŸ. òyÜlhd brašãiy (7 – 11 taJ tiu)
  • 10. FHªijahdJ Ϫãiyæš FkugU¤Âš mobaL¤J it¡»wJ fU¤Âaš Áªjid cUthF« gH¡f¥g£l fU¤JfŸ, nfh£ghLfis c©ik Nœãiyæš bghU¤Â gh®¤jš v.fh.: mséLjš, v©â¡if tU§fhy¤Â‰F njitahd òÂa njitfis Rakhfnt cUth¡Fjš Rakhfnt xU bghJéÂia cUth¡Fjš Rakhfnt fâj fU¤Jfis Ô®¡f KaYjš fU¤Âaš ãiy (11 ta‰F nkš)
  • 11. braš ika« _ykhf f‰W¡ bfhŸSjš khzt® ika¡ fiy¤Â£l« òy‹ cW¥òfŸ _ykhf brŒJ f‰W¡ bfhŸSjš ghÁfŸ, F¢ÁfŸ _y« x‹WfŸ, g¤JfŸ, üWfŸ v‹w ÏlkÂ¥Ãid v©âaèš f‰W¡ bfhŸ»wh®fŸ. bghJéÂia cz®jY«, cUth¡FjY« xG¡f ts®¢Á, m¿Î ts®¢Á, ga‹gh£L ts®¢Á, r_f ts®¢Á M»ait cUth»wJ. Âw‹fŸ cUthF« ãiy Ãu¢ridia Ô®¡f¡Toa Âw‹fŸ tsU« òJikia¡ f©LÃo¤jš Rakhf¡ f‰wš c©ikahd f‰wš bkhê¡ f‰wš ghlÏiz k‰W« Jiz brašfŸ _ykhf C¡Fé¤jš. fšé¤ jh¡f§fŸ:
  • 12. b#nuh« v°.òUz® jdJ “THE PROCESS OF EDUCATION” v‹w üèš f‰wš nfh£gh£oid vL¤Jiu¡»‹wh®. FHªijæ‹ bjhl¡fãiy mDgt¡f‰wyhdJ fh£Á ãiyæ‹ _y« jh‹ bjhl§f»wJ v‹»wh®. Ãahn#, ò%z® ÏUtU« m¿é‹ ts®¢Áia¥ g‰¿na TW»wh®fŸ. ò%zç‹ fU¤J¥go kåj _isahdJ _‹W ãiyfëš m¿Î ts®¢Áia bgW»wJ. ò%zç‹ m¿Î ts®¢Á¡ nfh£ghL
  • 13. ò%zç‹ m¿Î ts®¢Á¡ nfh£ghL brašrh®ªj m¿jš ãiy) cUt« rh®ªj m¿jš ãiy (3 - 7taJ) F¿pL rh®ªj m¿jš ãiy 0-3 taJ 7taJ¡F nkš 3-7 taJ
  • 14. m¿é‹ ts®¢Áæny brašgLãiy v‹gJ Kjšãiy MF«. bghUŸfis bjh£L cz®ªJ f‰W¡ bfhŸS« ãiy. òy‹ Ïa¡f ãiy Mu«gkh»wJ. braš rh®ªj m¿jš ãiy (0-3 taJ)
  • 15. bghUë‹ brašgL¤j‹ikia cUtf¥gL¤Â TWjš. f‰gid¤Âw‹ cUthF«. kd¤Âiuæš bfh©LtªJ f‰F« ãiy. gl« mšyJ ëg« mšyJ rhaš _ykhf f‰wš. v.fh. gl¤Âš cŸs bghU£fis gh®¤J, mj‹ v©â¡ifia vGj¢ brŒayh«. eh£r¤Âu« gªJfŸ ó¡fŸ cUt« rh®ªj m¿jš ãiy (3-7 taJ)
  • 16. fhuz« m¿jš, Áªjid Âw‹ ts®»wJ. bghJika¡ fU¤J cUthF« ãiy. kdš njh‹Wtij F¿plhf, bkhêahf btë¥gL¤J« ãiy. E©z¿Î ts®¢Á ntfkhf brašgL«. F¿pL rh®ªj m¿jš ãiy ( 7 taJ¡F nkš)
  • 17. btë¡bfhzu¡Toa Âw‹fis mo¥gilahf¡ bfh©lJ f‰wyhdJ m¿Î rh®ªj Âw‹ mo¥gilæš ÏU¡f nt©L«. fh¡nd k‰W« mRgš ngh‹w m¿P®fë‹ nfh£ghLfshdJ btë¥ghL rh®ªj f‰wš nfh£ghLfŸ MF«. btë¥ghL rh®ªj f‰wš nfh£ghL
  • 19. ÏJ btë¥ghL rh®ªj f‰wš nfh£ghL MF«. bt‰¿ia ju¡ Toajhf ÏU¡F« Ï¡f‰wš nfh£ghlhdJ f‰wè‹ btëel¤ijia m¿ÎW¤J»wJ. Ïuhg®£ fh¡ndæ‹ f‰wš nfh£ghLf¿š _‹W goãiyfŸ cŸsd. fh¡nd – v©tif¡ f‰wš
  • 20. f‰wè‹ btëel¤ij (Categories) jftš bkhê mikÎ (Verbal Information) E©z¿Î¤ Âw‹fŸ (Intellectual Skills) m¿Îrh®ªj £l§fŸ (Cognitive Strategie) clš Ïa¡f¤Âw‹fŸ (Motor Skills) eh£l« (Attitudes) v©tif¡ f‰wš f‰Ã¤jš mik¥ò Ïuhg®£ fh¡nd 3 goãiyfŸ
  • 21. Verbal  Stating previously learned materials such as facts, concepts, principles, and procedures  Critical Learning Conditions  Draw attention to distinctive features by variations in print or speech.  Present information so that it can be made into chunks.  Provide a meaningful context for effective encoding of information.  Provide cues for effective recall and generalization of information.
  • 22. Intellectual Skills  Discriminations: Distinguishing objects, features, or symbols, e.g., hearing different pitches played on a musical instrument  Concrete Concepts: Identifying classes of concrete objects, features, or events, e.g., picking out all the green M&Ms from the candy jar  Defined Concepts: classifying new examples of events or ideas by their definition, e.g., noting "she sells sea shells" as alliteration  Rules: Applying a single relationship to solve a class of problems, e.g., calculating the earned run averages (ERA) of the Atlanta Braves  Higher Order Rules: Applying a new combination of rules to solve a complex problem, e.g., generating a balanced budget for a state organization
  • 23. Intellectual Skills (cont.)  Critical Learning Conditions  Call attention to distinctive features.  Stay within the limits of working memory.  Stimulate the recall of previously learned component skills.  Present verbal cues to the ordering or combination of component skills.  Schedule occasions for practice and spaced review.  Use a variety of contexts to promote transfer.
  • 24. Cognitive Strategies  Employing personal ways to guide learning, thinking, acting, and feeling  Critical Learning Conditions  Describe or demonstrate the strategy.  Provide a variety of occasions for practice using the strategy.  Provide informative feedback as to the creativity or originality of the strategy or outcome.
  • 25. Attitude  Choosing personal actions based on internal states of understanding and feeling  Critical Learning Conditions  Establish an expectancy of success associated with the desired attitude.  Assure student identification with an admired human model.  Arrange for communication or demonstration of choice of personal action.  Give feedback for successful performance; or allow observation of feedback in the human model.
  • 26. Motor Skills  Executing performances involving the use muscles  Critical Learning Conditions  Present verbal or other guidance to cue the executive subroutine.  Arrange repeated practice.  Furnish immediate feedback as to the accuracy of performance.  Encourage the use of mental practice.
  • 27. bghJ éÂfis¡ f‰wš (Rule Learning) ö©lš Jyfš bjhl®òfis¡ f‰wš (Stimulus Learning response) K‹ò f‰wt‰iw Ïiz¤J òÂa f‰wiy cUth¡FtJ (Chaining) Ãç¤Jz®ªJ f‰wš (Discrimination Learning) bghJ¡ fU¤Jfis¡ f‰wš (Concept Learning) Á¡fš Ô®¤jš (Problem Solving) brh‰fis¤ bjhl®ò gL¤Jjš (Verbal Association) irif¡F¿fë‹ bghUSz®jš (Signal Learning) v©tif¡ f‰wš
  • 28. MÂfhy kåj‹ j« v©z§fis btë¥gL¤j iriffisÍ«, F¿fisÍnk ga‹gL¤Âdh‹. FHªijfël« irif fh£L«nghJ mt®fŸ mjid¥òçªJ bfh©L brašgLtij¡ fhzyh« Funyhir vG¥òjš, iffhš cš mirÎfŸ _ykhf iriffis btë¥gL¤J»nwh« v.fh: fâj¤Âš 1, 2, 3, . . . . 9, 10 v‹W v©Qtj‰F«, iriffis ga‹gL¤J»nwh« ÏJ äf vëa Kiw f‰wš MF«. irif¡F¿fë‹ bghUSz®jš:
  • 29. ö©lš – Jy§fšfS¡F Ïilna _‹W tiffëš bjhl®ò V‰gL»wJ.  j£L¤ jLkh¿¡ f‰wš (jh®©il¡) (Operant conditioning)  M¡fãiyÍW¤jš (°»‹d®) (Classical conditioning)  c£fh£Á _y« f‰wš (nfhy®) (Insight Learning) J©lš – Jy§fš bjhl®òfis¡ f‰wš
  • 30. ÏJΫ M k¡fŸ mšyJ FHªijfŸ ifahS« ãiy. v.fh. thŒghL r‰F« nghJ 7 x 6 v‹d v‹W nf£F« nghJ FHªijfŸ gy éilfis¡ T¿ Ë rçahd éilia¡ TWt® VjhtJ xU rk‹gh£il Ô®¤jš (vªjbthU étu¤ijÍ« më¡fhkš Ô®¤jš) j£L¤ jLkh¿¡ f‰wš
  • 31. vëikæèUªJ fod¤Â‰F bršYjš v.fh jåt£o fz¡»Ljš mrš P = %.100, t£oÅj« r = 1% fhy« n = 1 tUl« Pnr 100 x 1 x 1 I = I = = 1% 100 100 M¡fãiyæW¤jš Ïš f‰wš cldoahf ãfœ»wJ. xU Ãu¢rid¡fhd ԮΠÂObud kdš njh‹Wtnj c£fh£Á vd¥gL«. v.fh: éLfijfŸ, ò® ngh‹witfS¡F ԮΠfhQjš c£fh£Á _y« f‰wš
  • 32. K‹ò f‰wt‰iw Ïiz¤J òÂa f‰wiy cUth¡Fjš Kªija mDgt¤Jl‹ bjhl®òilaJ xU nfŸé¡F gy gšfŸ TWtJ mjhtJ xU ö©lš – gy Jy§fiy btë¥gL¤Jjš v.Fh T£lè‹ RU¡fnk bgU¡fš 2 + 2 + 2 + 2 + 2 = 10 = 5 x 2 = 10 ( 5 jlit 2)
  • 33. Ïiz¥ò¡f‰wèš ÏUªJ f‰W¡bfhŸSjš gy ö©lš Jy§fš ãiyæèUªJ f‰W¡ bfhŸSjš th®¤ijfis tif¥gL¤Jjš v.fh:  xUgo, ÏUgo msÅLfS¡F cŸs ntWghL  fdmsÎ – gu¥gsÎ ntWghL brh‰fis¤ bjhl®ògL¤Jjš S R s R Object Observation Internal representation Verbal representation
  • 34. Ãç¤Jz®ªJ f‰wš Ïu©L mšyJ mj‰F nkyhd fâj fU¤JfS¡»ilna cŸs ntWgh£oid bjçªJ bfhŸtJ. v.fh: rJu« , br›tf« - ntWghL
  • 35. nkny cŸs IªJ ãiyfisÍ« cŸsl¡»aJ xU bghUis g‰¿a gy j‹ikfis bjçªJ bfhŸSjš v.fh: eh‰fu¡ FL«g« rJu« br›tf« eh‰fu« rhŒrJu« bghJ¡ fU¤Jfis¡ f‰wš Ïizfu«
  • 36. bghJéÂfis¡ f‰wš bghJik¡ fU¤Jfis Ïiz¤J éÂfë‹ bjhl®òfis V‰gL¤jyh«. xU éÂæèUªJ Ï‹bdhU éÂia¡ f‰W¡ bfhŸSjš. v.fh: 2-tJ thŒ¥gh£o‹ _y« 4-tJ thŒ¥gh£il f‰Ã¤jš
  • 37. v©tifk f‰wèny äf ca®ªj ãiy xU Ô®é‹ j‹ikia g‰¿, bghUë‹ j‹ikia¥ g‰¿ gF¤jY«, bjhF¤jY« MF« òÂad f©l¿jš, òJikfis tunt‰wš. v.fh: nj‰w¤Â‰F ԮΠfhQjš Á¡fš Ô®¤jš
  • 38. E©z¿Î Âw‹fis rh®ªJjh‹ ÏjDila f‰wšnfh£ghL mikÍ«. nfh£gh£o‹ mo¥gilæšjh‹ f‰Ã¤jš E£g¤ij cUth¡Fjš Ïš 9 ãfœÎfŸ cŸsd. mit ftd« <®¤jš bghUis milahs« fhQjš (F¿¡nfhŸ) K‹ m¿it bfh©L tUjš ö©liy ãiyãW¤jš f‰wY¡F têfh£Ljš jFÂah¡Fjš Ë}£l« më¤jš jFÂis kÂ¥ÃLjš f‰wiy ãW¤jš k‰W« kh‰Wjš f‰Ã¤jš mik¥ò mšyJ E£g«:
  • 39.
  • 40. The Phases of Learning  Gagné described learning as a series of 8 phases that the learner goes through but is unaware of (Gagné, 1974)  Motivation Phase – Expectancy  Apprehending Phase – Attention Selective Perception  Acquisition Phase – Coding: Storage Entry  Retention Phase – Memory Storage  Recall Phase – Retrieval  Generalization Phase – Transfer  Performance Phase – Responding  Feedback Phase -- Reinforcement
  • 41. What is learning?  Gagné believed that an external observer could recognize learning by noting behavioral changes that remains persistent over time (Gagné, 1974)  He also stated that maturation is not learning because the individual does not receive stimulation from the outside environment (Gagné, 1974).  Learning has two parts, one that is external to the learner and one that is internal (Gagné, Briggs, & Wager, 1992)
  • 42. Learning and the Teacher  Gagné felt that the teacher’s job was to provide instruction (Gagné, 1974).  Gagné defined instruction as “the set of events designed to initiate, activate, and support learning in the human learner.” (Gagné, 1974)  The teacher had three primary functions:  Designer  Manager  Evaluator
  • 43. mªj khztDila f‰wš m¿éaš ÏUªJ f‰wš – f‰Ã¤jš Nœãiyia cUth¡fyh«. fh£Á¥ bghUŸfŸ _y« f‰Ã¤jš – bjhl¡f¥ gŸë khÂç _y« f‰Ã¤jš – Ïilãiy¥ gŸë vëa ãiyæèUªJ fod ãiy¡F¢ bršYjš Á¡fyhd Ãu¢ridia vëikahf¤ Ô®¤jš xU j‹ikæèUªJ k‰bwhU j‹ikia Ãç¤Jz®ªJ f‰wš bghJ éÂia f©Lz®jš f‰wš f‰Ã¤jš neh¡f§fis tiuaW¤J¡ bfhŸSjš fšé¤ jh¡f§fŸ:
  • 44. mRgš – fšé¡nfh£ghL nlé£ mRbgšè‹ f‰wš nfh£ghlhdJ khzt® ghl¤ÂYŸs fU¤J¡fis v›thW f‰»wh®? v‹gJ g‰¿ étç¤jš khzt® étç¤J¡ f‰wš Kiwæš Áw¥ghf¡ f‰f KoÍ«. brhšy¥ nghtij¢ brhšYjš, Ëd® mij¢ brhšYjš, mj‹ Ëd® brhšèat‰iw¢ brhšYjš étç¤J¡ f‰Ã¤jš vd¥gL«. étç¤J¡ f‰wiy gaDilajh¡Fjš Kiwahd f£lik¥ò ghlK‹dik¥òfŸ
  • 45. Áw¥òfŸ: f‰wš, f‰Ã¤jš, fiy¤Â£l« xU§»iz¥ò KGj¿ªJ f‰wš éçÎiu Kiw, gŸë¥ ghlüš jahç¥Ãš ga‹ghL MÁçaU¡F têfh£Ljš ghl K‹dik¥òfis¡ f‰Ã¤jš étç¤J¡ f‰wèš cŸs FiwghLfŸ bghUŸ òçahkš ghl¤ij kdd« brŒa¤ ö©Ljš m¿Î kªj¤ij ts®¤jš f‰wt‰iw bghUs‰wjhf¢ brŒjš f‰w ghl¥bghUis éiuéš kw¡f VJth»wJ.
  • 46. ghl« bjhl§F« K‹, ghl K‹dik¥òfis¡ f‰Ã¤jš f‰f¥nghF« òÂa fU¤J, f‰wš F¿¡nfhis R£o¡fh£lš bjhl®ògL¤Â¡ f‰Ã¤jš khzt®fë‹ f‰wš milit nrh¤J, mL¤j gF¡F¢ bršYjš bjhF¤J Ïiz¤J x‹WgL¤Â¡ TWjš x¥gil¥òfŸ tH§Fjš fšé¤ jh¡f§fŸ:
  • 47. Ánk£o¡ f‰wš ç¢r®£ °bl«¥ E©z¿Î cŸsh®ªj braš Âw‹ ÃuÂgè¥ò brašghL m¿Î¥ bg£lf« òy‹fh£Á, clš Ïa¡f fh£Á _y« btë¥gL¤jš giHa – òÂa mDgt m¿Î Ïiz¥ò °»kh m¿Î rh®ªj f‰wš nfh£ghLfŸ
  • 48. ÃuÂgè¥ò : f‰gij, f‰W¡bfh©lij btë¥gL¤Jjš fâj fU¤Jfis f‰W¡ bfhŸs¥gL« nghJ btë¡bfhzU« nghJ ÃuÂgè¥ò j‹ik btë¥gL»wJ. cŸsh®ªj brašÂw‹ : Áªjidia¢ rh®ªjJ fh£Á têahd Áªjid – gF¤jš têahd Áªjid Ïit x‹Wl‹ x‹W bjhl®òilaJ
  • 49. nk‰gh®it üšfŸ: 1. fâå f‰Ã¤jš jhŸ – 1 gh. måjh, uh. gh®¤Âg‹, $, »UZzh g¥ënfõ‹° br‹id 2. fâj« f‰Ã¤jš lh¡l®. îah uh« nj› éndh¤ ò°j¡ kªÂ®, M¡uh – 2 (2005) 3. Teaching of Mathematics Dr. A.K. Kulshnestha Published by Vinay Rakheja 4. Teaching of Mathematics Dr. Anice James Neelkamal Publications Reprint – 2011