web 20 pedagogy

What can I do now

Darren KuropatwaadifferenceblogspotcomSaskatchewan Understands Math ConferenceSaskatoon 6 May 2011

httpjmpsumath2011

Darrenrsquos Workshops Wiki

how do you know what they know

how do you know what they know

Three (practices and) principles

how do you know what they know

Three (practices and) principles

Three (practices and) principles

Three (practices and) principles

Teachers must engage studentsʼ preconceptions

(Principle 1) Studentsʼ Errors and Misconceptions Based on Previous Learning

Students come to the classroom with conceptions of numbers grounded in their whole-number learning that lead them astray in the world of rational numbers eg multiplying always makes numbers bigger

x =

Understanding requires factual knowledgeand conceptual frameworks

The Knowledge Network New Concepts and New Applications(Principle 2)

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34

34

34

75

075

$075

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34

34

75

075

$075

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34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

Understanding requires factual knowledgeand conceptual frameworks

The Knowledge Network New Concepts and New Applications(Principle 2)

34

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

75

075

$075

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

75

075

$075

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

34

34

34

75

075

$075

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

socialknowingis neverfinished

in our heads

itrsquos between us

David WeinbergerEverything is Miscellaneous

knowledge isnrsquot

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

Learning is facilitated through the use of metacognitive strategies

Principle 3

A metacognitive approach enables student self-monitoring

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

eror analysis

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

Find the error

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

community

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

community

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

x =

Three Pedagogical Principles+1

mind maps

Fibo

nacc

i Tr

ee

mind maps

Fibo

nacc

i Tr

ee

Fibo

nacc

i Tr

ee

Geometry Melting

in the Back Lane

your turn

Just Taste the

Possibilities

Lick Dan Barak CC BY-NC-ND

Just Taste the

Possibilities

Lick Dan Barak CC BY-NC-ND

Whatrsquos hidden in each of these logos

source httpjmpavE2zj

London Symphony Orchestra

Childrenrsquos Book Editorial

Man Nomming on Burger Mr T in DC CC BY-ND

The Full Meal Deal

the62girlphotosflickrcom

Take a picture of the math you see in the world around you right now Maybe take a walk to find it Then email it to

Through the Lens by flickr user davidzhttpwwwflickrcomphotosdavidz822970543

solution manuals

apcalc2008

apcalc2008

35

assignmentthe

wiki solutions manual

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

TheBlogfather

of mathematics

TheBlogfather

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

TheBlogfather

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

The Learning Equations of Dr Anthony Muhammed

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

I(c) + T(c) = L(v)

I(v) + T(c) = L(v)

I(v) + T(v) = L(c)

The Learning Equations of Dr Anthony Muhammed

Slidesharenet

Slidesharenet

BOB

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

TheBlogfather

of mathematics

Video

Are you ready by flickr user sshhttpwwwflickrcomphotosssh12638218

Teach It

Watch It Do It

Fork in the Road by flickr user Friends of San Jacintohttpwwwflickrcomphotosfriendsofsanjacinto4479943434

Choose Your Own Path Mathematics Stories

Group Annotation Project half Lives and Decay httpwwwyoutubecomwatchv=xg0trSjx4AM

Group Annotation Project

presenting project work

74

projectthe

developing expert voices

74

projectthe

developing expert voices

DEVious

Watch and Learn

Watch and Learn

MITSOP

MITSOP

Agent 00314

Agent 00314

The Sequel to MITSOP

The Sequel to MITSOP

More about the back story to this idea

3 Instructional

Design Practices

wade through galleries of studentsrsquo thought

It is no longer enough to do powerful work if no one sees it

Chris Lehmann

untitled by flickr user ArcaHeradelhttpwwwflickrcomphotosheradel3257235694

wade through galleries of studentsrsquo thought

It is no longer enough to do powerful work if no one sees it

Chris Lehmann

untitled by flickr user ArcaHeradelhttpwwwflickrcomphotosheradel3257235694

It is no longer enough to do powerful work if no one sees it

Chris Lehmann

untitled by flickr user ArcaHeradelhttpwwwflickrcomphotosheradel3257235694

Publish It

Create It

A computer is an instrument whose music is composed of ideasldquo Alan Kay

A computer is an instrument whose music is composed of ideasldquo Alan Kay

Create It

A computer is an instrument whose music is composed of ideasldquo Alan Kay

A computer is an instrument whose music is composed of ideasldquo Alan Kay

A computer is an instrument whose music is composed of ideasldquo Alan Kay

A computer is an instrument whose music is composed of ideasldquo Alan Kay

A computer is an instrument whose music is composed of ideasldquo Alan Kay

httpk12onlineconferenceorg

your turn

thanks

Credits

DAI Galleryhttpflickrcomphotosherzogbr1227648062

My version of a quadratic httpflickrcomphotos40256716N00316074893

published mehttpflickrcomphotoshi-phi329004580

How Students Learnhttpbooksnapeducatalogphprecord_id=9853

Pewter Letters Numbershttpflickrcomphotoslwrsets72157594512642436

This body is networkedhttpflickrcomphotosfunksoup403990660

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Magic is truehttpflickrcomphotos7933170N032631820657

Mind Mappinghttpflickrcomphotossirwiseowl2101661645

book shelf project 2 ~ striatic noteshttpflickrcomphotosstriatic730978

dsc006647httpflickrcomphotos49405310N0024167123

your turn phttpflickrcomphotosmariachily2174723906

Obligatory Wiki Photohttpflickrcomphotoscogdog19490596

High School Games Projectshttpflickrcomphotosmspatt2367994924

Video Credits1620

httpwwwyoutubecomwatchv=C9mSspoCv7Q

1620httpwwwyoutubecomwatchv=C9mSspoCv7Q

PS22 Chorus ldquoLandsliderdquohttpwwwyoutubecomwatchv=f2p5augniQA

Emergence Createhttpwwwyoutubecomwatchv=A3eIXlJvKNs

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Day Onehttpwwwflickrcomphotosmbshane3158001015

UF Norman Hall Desks Classroom by flickr user cdsessumshttpwwwflickrcomphotoscsessums4389122037

thanks

Credits

DAI Galleryhttpflickrcomphotosherzogbr1227648062

My version of a quadratic httpflickrcomphotos40256716N00316074893

published mehttpflickrcomphotoshi-phi329004580

How Students Learnhttpbooksnapeducatalogphprecord_id=9853

Pewter Letters Numbershttpflickrcomphotoslwrsets72157594512642436

This body is networkedhttpflickrcomphotosfunksoup403990660

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Magic is truehttpflickrcomphotos7933170N032631820657

Mind Mappinghttpflickrcomphotossirwiseowl2101661645

book shelf project 2 ~ striatic noteshttpflickrcomphotosstriatic730978

dsc006647httpflickrcomphotos49405310N0024167123

your turn phttpflickrcomphotosmariachily2174723906

Obligatory Wiki Photohttpflickrcomphotoscogdog19490596

High School Games Projectshttpflickrcomphotosmspatt2367994924

Video Credits1620

httpwwwyoutubecomwatchv=C9mSspoCv7Q

1620httpwwwyoutubecomwatchv=C9mSspoCv7Q

PS22 Chorus ldquoLandsliderdquohttpwwwyoutubecomwatchv=f2p5augniQA

Emergence Createhttpwwwyoutubecomwatchv=A3eIXlJvKNs

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Day Onehttpwwwflickrcomphotosmbshane3158001015

UF Norman Hall Desks Classroom by flickr user cdsessumshttpwwwflickrcomphotoscsessums4389122037

Credits

DAI Galleryhttpflickrcomphotosherzogbr1227648062

My version of a quadratic httpflickrcomphotos40256716N00316074893

published mehttpflickrcomphotoshi-phi329004580

How Students Learnhttpbooksnapeducatalogphprecord_id=9853

Pewter Letters Numbershttpflickrcomphotoslwrsets72157594512642436

This body is networkedhttpflickrcomphotosfunksoup403990660

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Magic is truehttpflickrcomphotos7933170N032631820657

Mind Mappinghttpflickrcomphotossirwiseowl2101661645

book shelf project 2 ~ striatic noteshttpflickrcomphotosstriatic730978

dsc006647httpflickrcomphotos49405310N0024167123

your turn phttpflickrcomphotosmariachily2174723906

Obligatory Wiki Photohttpflickrcomphotoscogdog19490596

High School Games Projectshttpflickrcomphotosmspatt2367994924

Video Credits1620

httpwwwyoutubecomwatchv=C9mSspoCv7Q

1620httpwwwyoutubecomwatchv=C9mSspoCv7Q

PS22 Chorus ldquoLandsliderdquohttpwwwyoutubecomwatchv=f2p5augniQA

Emergence Createhttpwwwyoutubecomwatchv=A3eIXlJvKNs

Lost in Thoughthttpwwwflickrcomphotosjohnbolland1544108261

Day Onehttpwwwflickrcomphotosmbshane3158001015

UF Norman Hall Desks Classroom by flickr user cdsessumshttpwwwflickrcomphotoscsessums4389122037