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•What is Bansho?•Purposes o

Bansho

•How to desin a

Bansho Plan?

!b"ectives

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What is Bansho?

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What is Bansho?• # technical word developed b$ the %apanese

education co&&unit$' Efective use o the blackboard

' “use or oranisation o blackboard”

' (iteral translation “board writin”• # critical teachin skill in %apan

' When conductin student-centreddiscover$-oriented lesson in &athe&atics

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What does )esearch *a$?

Source: U.S. Department of Education, National Center for Education Statistics. Third

International Mathematics and Science Study, Videotape Classroom Study, !!"#!$.

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What does )esearch *a$?

Source: U.S. Department of Education, National Center for Education Statistics. Third

International Mathematics and Science Study, Videotape Classroom Study, !!"#!$.

• “%apanese teachers rarel$ erase what the$

write on the blackboard+ Ever$thin the$choose to record has a &eanin and purpose,as it has been careull$ planned in advance”.oshida, /0001

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;+ Help pupils see the connections o diferent parts o

lesson and the proression o the lesson• *u&&ar$ o the entire lesson

• <oherent =ow o the lesson how we reached theconclusion1

• How pupil ideas were discussed and evolved inorder to reach the conclusion

How 2o %apanese 3eachers 4se theBlackboard?

>+ # Place to <ontrast and 2iscuss ideas pupilspresented

• )ecordin various ideas

• 2iscussin si&ilarities and diferences inideas

• 2iscussin &erits o certain &ethods

• 2iscoverindevelopin new ideas and

@uestions

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Wh$?• 3o help oranise pupilsF thouhts G thouht

processes• 3o &odel ood oranisation G oster oranised note-

takin skills

•  3o ive structure to pupil discussion

• 3o provide a place to record pupil discussion• 3o record the collective pupil ideas that evolve ro&

the discussions

• 3o i&part a &athe&atical idea throuh collective

pupil ideas• 3o provide a visual su&&ar$ o the entire lesson

• 3o enhance pupilsF learnin eperiences andunderstandin

• 3o help pupils see the proress o the lesson .oshida,

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!ther i&pacts• Pupils can learn how to oranise their own

thinkin and to take notes in an oranised wa$• Handouts that are based on the blackboard

oranisation plan urther encourae ood notetakin

• # well oranised lesson plan and blackboard planlead to a well constructed and ocussed lesson,which in turn helps pupil understandin

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Blackboard ro& #ctual(esson

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# Blackboard Plan

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*ubtraction

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 3he BlackboardPlan

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Cultiplication

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 3he BlackboardPlan

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Jolu&e

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 3he BlackboardPlan

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Parallel (ines

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 3he BlackboardPlan

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2ivision with raction withraction

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 3he BlackboardPlan

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Per&utation

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 3he BlackboardPlan

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# Blackboard Plan

Proble&  3ask

*u&&ar$

•clues

•previous• knowlede

eercise

eercise

eercise

*tudentFs7dea

*tudentFs7dea

•&ethods tosolve

What hasbeen

learnt?

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*teps/1 *howin theproble&

81 *howin thetask

;1 *howin studentFsidea

>1 #rranin theideas

A1 *u&&ariin theideas

D1 2ointheeercises

K1 What has been

learnt?

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#ctivit$ ;L 2esin a Bansho Plan or $ourlesson planned in #ctivit$ 8

Present your groupBansho Plan

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)eerencesBecker, %+ P+, G *hi&ada, *+ /00K1+ The open-ended approach: A new

 proposal for teaching mathematics+ )eston, JiriniaL 9ational

<ouncil o 3eachers o Cathe&atics+(eon, <+ 5+, 3eoh, B+ 3+ G Warabhorn, P+ 8I/81+ 7ntroduction o the

Bansho Plan to Pri&ar$ *chool Cathe&atics 3eachersL # <ase *tud$+7n #+ (+ White G 4+ H+ <heah Eds+1, Transforming SchoolMathematics Education in the 21st   Century pp+ ;;->>1.  Penan,Cala$siaL *E#CE! )E<*#C+

*tevenson, H+, G *tiler, %+ /0081+ The learning gap+ 9ew .orkL *u&&it+

*tiler, %+, G Hiebert, %+ /0001+ The teaching gap: est ideas from theworld!s teachers for impro"ing education in the classroom+ 9ew

 .orkL ree Press+

*tiler, %+ W+, Monales, P+, 5awanaka, 3+, 5noll, *+, G *errano, #+ /0001+ 3he 37C** Jideotape <lassroo& *tud$L &ethods and Nndins ro&and eplorator$ research pro"ect on eihth-rade &athe&aticsinstuction in Mer&an$, %apan, and the 4nited *tates+ EducationalStatistics #uarterly$ 181, /I0-//8+

 .oshida, C+ /0001+ %esson Study: A case Study of a &apanese Approach to'mpro"ing 'nstruction Through School-ased Teacher (e"elopment.4npublished doctoral dissertation, 3he 4niversit$ o <hicao+