Language in Math Facilitator Guide

8/8/2019 Language in Math Facilitator Guide

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! ! ! !

Facilitators Guide

Improving Accessibility inMiddle Grades Mathematics:

Language in theMath Classroom

Produced!by:!

!

!

!

Education!Development!Center,!Inc!

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!2009!Education!Development!Center,!Inc.! ! 2!

Improving!Accessibility!in!Middle!Grades!Math:!Language!in!the!Math!Classroom!

!

Improving!Accessibility!in!Middle!Grades!Mathematics:!Language!in!the!Math!

Classroom!was!developed!at!Education!Development!Center,!Inc!(EDC)!in!Newton,!

MA.!This!tool!is!part!of!the!Mathematics!Improvement!Toolkit,!a!project!of!the!

National!Forum!to!Accelerate!Middle!Grades!Reform,!and!was!supported!by!The!U.S.!

Department!of!Education's!Comprehensive!School!Reform!Quality!Initiative,!grant!#!

S332B060005.!Opinions!expressed!are!those!of!the!authors!and!not!necessarily!those!

of!the!Department.!

!


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Improving!Accessibility!in!Middle!Grades!Math:!Language!in!the!Math!Classroom!

SECTION!1!

WELCOME.............................................................................................................................................!4!

INTRODUCTION!AND!OVERVIEW..................................................................................................................!4!

WHO!SHOULD!FACILITATE!THIS!WORKSHOP?!...............................................................................................!4!

WHO!SHOULD!PARTICIPATE!IN!THIS!WORKSHOP?!.........................................................................................!5!

WORKSHOP!DESIGN!AND!TOPICS!...............................................................................................................!5!

WORKSHOP!GOALS!.................................................................................................................................!6!

HOW!TO!PREPARE!FOR!THE!WORKSHOP!.......................................................................................................!7!

WORKSHOP!PLANNING!CONSIDERATIONS!....................................................................................................!7!

LOGISTICS!..............................................................................................................................................!8!

WORKSHOP!MATERIALS!...........................................................................................................................!9!

PHOTOCOPYING!RECOMMENDATIONS!.......................................................................................................!11!

FACILITATION!TIPS!.................................................................................................................................!12!

WORKSHOP!AGENDA!AND!PACING!SUGGESTIONS!.........................................................................................!14!

WORKSHOP!AGENDA!"!BROAD!VIEW!.....................................................................................................!14!

WORKSHOP!AGENDA!!DETAILED!VIEW!................................................................................................!15!

PACING!SUGGESTIONS!............................................................................................................................!17!

SLIDE!NOTES!GUIDE!...............................................................................................................................!18!

APPENDICES:!ADDITIONAL!FACILITATION!RESOURCES!......................................................................................!75!

APPENDIX!1:!OPTIONAL!WORKSHOP!INTERIM!ACTIVITIES!.............................................................................!76!

HANDOUTS!A1"A2................................................................................................................................!76!

APPENDIX!2:!SAMPLE!EMAIL:!WORKSHOP!ANNOUNCEMENT!.........................................................................!78!

APPENDIX!3:!SAMPLE!EMAIL:!WORKSHOP!REMINDER!..................................................................................!79!

APPENDIX!4:!FACILITATION!CHECKLIST!......................................................................................................!80!

APPENDIX!5:!PACING!GUIDE!...................................................................................................................!82!

APPENDIX!6:!SAMPLE!VOCABULARY!PLANNER!............................................................................................!84!

WORKSHOP!HANDOUTS!...........................................................................................................................!1!

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WELCOME!

We!are!pleased!to!offer!you!this!workshop,!Improving!Accessibility!in!Middle!Grades!

Mathematics:!Language

!in

!the

!Math

!Classroom.!The!workshop!is!designed!to!help!math!and!

special!education!teachers!improve!access!for!students!to!the!language!they!need!in!order!

to!learn!middle!grades!mathematics!concepts.!

This!workshop!was!developed!at!Education!Development!Center,!Inc.!(www.edc.org)!in!

Newton,!MA.!This!workshop!is!part!of!the!Mathematics!Improvement!Toolkit,!a!project!of!

the!National!Forum!to!Accelerate!Middle!Grades!Reform!(www.mgforum.org),!and!was!

supported!by!The!U.S.!Department!of!Education's!Comprehensive!School!Reform!Quality!

Initiative,!Grant!#!S332B060005.!Opinions!expressed!are!those!of!the!authors!and!not!

necessarily!those!of!the!Department.!!This!workshop!builds!on!the!work!of!the!Addressing!

Accessibility!in!Mathematics!project:!edc.org/accessmath.!

!

INTRODUCTION!AND!OVERVIEW!

This!guide!is!designed!to!support!the!facilitator!of!the!workshop.!While!this!guide!focuses!

more!heavily!on!the!content!of!the!workshop!than!it!does!on!the!development!of!

facilitation!

skills,!

facilitators!

with!

a!

range!

of!

experience!

can!

use!

these!

materials!

to!

prepare!

and!conduct!the!workshop.!

!

WHO !SHOULD!FACILITATE !THI S!WORKSHOP?!

Facilitators!might!be!experienced!math!or!special!education!teachers,!teacher!leaders,!or!

curriculum!specialists.!The!facilitators!do!not!have!to!be!experienced!in!facilitating!

workshops.!Since!this!workshop!aims!to!build!collaboration,!it!works!particularly!well!when!

co"facilitated!by!two!individuals,!one!with!expertise!in!teaching!math!and!one!with!special!

education!teaching!expertise.!


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WHO!SHOULD!PARTICIPATE !IN !THIS!WORKSHOP?!

This!workshop!is!intended!for!teachers!of!middle!grades!mathematics!who!work!in!inclusive!

classrooms!

with!

students!

with!

mild!

to!

moderate!

learning!

disabilities!

receiving!

the!

regular!

mathematics!curriculum.!This!includes!general!and!special!education!teachers.!The!

workshop!may!also!be!appropriate!for!teachers!who!teach!in!a!self"contained!classroom,!

resource!room!or!pull"out!program!for!mathematics,!as!it!focuses!on!strategies!for!

supporting!students!in!making!sense!of!the!language!used!in!math!instruction!in!order!to!

improve!access!to!math!concepts.!!

!

WORKSHOP!

DESIGN!AN D!

TOPICS!

This!workshop!is!designed!to!be!interactive!and!to!provide!opportunities!for!teachers!to!

learn,!discuss,!practice,!reflect!and!bring!their!learning!back!to!their!own!practice.!!The!

workshop!begins!with!brainstorming!and!reflection!on!the!language!demands!and!

challenges!present!in!the!mathematics!classroom.!!It!then!moves!to!a!focus!on!vocabulary!

as!a!point!of!intersection!of!the!four!key!language!processes:!reading,!writing,!speaking!and!

listening.!Finally,!the!workshop!explores!research"based!strategies!for!vocabulary!

instruction!and!tools!for!planning!vocabulary!instruction.!The!workshop!is!structured!

around!four!key!elements:!

1. Information!The!facilitator!will!provide!some!direct!instruction!in!language!processes!and!

demands,!research,!and!planning.!!This!will!provide!a!launching!pad!for!further!

examination!and!exploration!by!participants.!

2. Video!Participants!will!watch!real!video!footage!of!classroom!instruction.!!This!is!used!to!

provide!examples!of!the!implementation!of!strategies!intended!to!make!the!

language!of!mathematics!accessible!and!spark!reflection,!discussion!and!learning!for!

workshop!participants.!


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3. Activities!Participants!will!try!strategies,!apply!their!ideas!and!build!skills!by!participating!in!

individual,!partner!and!group!activities.!These!are!designed!to!provide!interactive!

learning!experiences!and!opportunities!to!connect!the!content!of!the!workshop!to!the!participants!own!classroom!practice.!

4. Discussion!Participants!will!have!further!opportunities!to!share!their!ideas,!learn!from!

colleagues!and!build!understanding!through!small"!and!large"group!discussion!

structured!around!specific!goals!and!questions.!

!

WORKSHOP!GOALS!

In!the!workshop,!participants!will:!

! Deepen!their!understanding!of!the!language!demands!in!mathematics.!! Learn!about!research!on!vocabulary!instruction!and!difficulty!for!students!with!

disabilities.!

! Learn!ways!to!plan!and!implement!vocabulary!instruction!and!writing!activities!in!the!mathematics!classroom.!

! Share!perspectives!and!strategies!and!collaborate!to!improve!access!to!language!and!math!learning.!

!

!

!

!


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HOW!TO !PREPARE!FOR!THE!WORKSHOP!

This!guide!provides!information!and!materials!to!assist!the!facilitator!in!planning!and!

facilitating!this!workshop.!This!section!outlines!the!steps!for!preparation,!including:!

workshop!planning,!logistics,!and!materials.!

!

WORKSHOP!PLANNING !CONSIDERATIONS !!

SCHEDULING !

The!workshop!may!be!offered!as!one!6!hour!session,!or!split!into!two!3!hour!sessions.!If!you!

will!be!using!two!sessions!to!complete!the!workshop,!it!is!suggested!that!the!two!sessions!be!held!within!4!to!6!weeks!of!one!another.!Optional!interim!activities!designed!to!link!the!

two!sessions!are!provided!(Appendix!1).!!

!

PARTICIPANTS !

The!intended!audience!for!this!workshop!is!middle!grades!mathematics!teachers!and!special!

education!teachers.!This!workshop!is!designed!for!a!group!of!ranging!8"30!participants.!If!

your!staff,!is!much!larger!than!30,!you!should!consider!running!the!workshop!with!an!

additional!facilitator!or!breaking!into!two!groups.!!

The!workshop!is!enriched!through!the!dialog!of!teachers!with!different!perspectives,!so!a!

range!of!grade!levels!(6"8),!and!a!variety!of!teaching!roles!is!ideal.!This!workshop!would!also!

be!useful!for!teacher!aides!and!other!paraprofessionals!who!work!with!students!in!

mathematics.!!!

!

!

!

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6. Be!sure!you!have!the!required!equipment!and!materials.!!A!materials!list!is!provided!in!the!next!section!of!this!guide.!

1"3!Days!in!advance,!the!facilitator!should:!

1. Do!a!technology!test"run!with!the!computer/projector/dvd!player!to!ensure!that!you!know!how!to!operate!each!and!switch!between!them!as!needed.!

2. Plan!snacks!or!meals!if!you!will!provide!either.!3. Establish!partner!and/or!grouping!assignments.!4. Ensure!that!workshop!handouts!and!materials!are!ready.!Make!Ground!Rules!and!

Parking!Lot!and!carousel!posters!(refer!to!slide!4!and!61!of!the!Slide!Notes!Guide).!

5. Do!a!final!practice!of!the!workshop!using!all!of!the!materials.!On!the!day!of!the!workshop,!the!facilitator!should:!

1. Set!up!the!meeting!space:!! Arrange!tables!or!desks!in!groupings!and!with!a!view!of!the!screen.!! Set!up!Parking!Lot!area!and!post!Ground!Rules.!!! Set!up!and!test!computer!equipment!and!DVD!player.!! Set!up!sign"in!area!and!name!tags.!! Arrange!place!for!breakfast,!snacks!or!lunch!(if!provided).!! Distribute!handout!packets.!

Are!you!ready?!Complete!the!facilitation!checklist!provided!(Appendix!4).!

WORKSHOP!MATERIALS!

This!Facilitation!Guide!includes!most!of!the!information!required!for!the!workshop,!

including!background!information,!facilitation!tips,!workshop!agendas,!and!handouts.!!!

! In!addition,!the!PowerPoint!presentation!for!the!workshop!is!provided!on!the!Mathematics!Improvement!Toolkit!website:!www.middlegrademath.org!

! The!required!DVD!must!be!ordered!separately!using!the!instructions!on!the!same!website:!www.middlegrademath.org!


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Here!is!the!list!of!materials!needed!to!facilitate!the!workshop!in!your!school!or!district:!

! This!facilitation!guide!! PowerPoint!presentation!" DVD!entitled!Improving!Access!to!Middle!Grades!Mathematics:!Language!in!the!

Math!Classroom!

" Computer!with!DVD!player!&!speakers.!!Alternatively,!you!could!show!the!DVD!using!a!DVD!player!and!television.!You!will!need!a!computer!to!show!the!power!point!

presentation.!!

" LCD!projector!and!screen!" Whiteboard/chalkboard!or!easel!with!chart!paper!and!chalk!or!markers!" Charts!for!Carousel!Sharing:!!5!large!pieces!of!poster!or!easel!paper,!each!with!one!

of!these!five!questions:!

! What!are!good!strategies!for!introducing!and!developing!understanding!of!vocabulary?!! What!are!good!strategies!for!embedding!vocabulary!in!math!instruction?!! What!are!good!strategies!for!reviewing!vocabulary?!! Which!vocabulary!strategies!are!particularly!helpful!for!students!with!disabilities?!! How!do!our!curriculum!materials!support!vocabulary!instruction?!What!further!

supplements!would!be!beneficial?!

" Packet!of!workshop!handouts!for!each!participant.!The!handout!masters!can!be!found!in!this!guide!and!on!the!Mathematics!Improvement!Toolkit!website:!

www.middlegrademath.org!

" Highlighter!or!marker!for!each!participant!" Colored!stickers!for!Gallery!Walk!(optional;!see!Slide!Notes!Guide,!slide!62)!" Name!tags,!marker!and!sign"in!sheet,!if!using!" Lessons!or!units!from!your!curriculum!materials.!!You!will!be!asking!participants!to!

bring!these,!but!it!would!be!helpful!to!provide!some!resources!in!case!any!

participant!forgets!to!bring!what!is!needed.!


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PHOTOCOPYING !RECOMMENDATIONS !

You!will!need!to!provide!a!set!of!handouts!to!each!participant.!The!handout!masters!are!

provided!

in!

the!

back!

of!

this!

guide.!!

For!

ease!

of!

use!

of!

the!

handouts,!

it!

is!

best!

to!

organize!

them!for!participants!as!follows:!

1. Photocopy!Handout!1,!page!1!(Warm!Up)!on!colored!paper,!if!possible.!!Keep!this!handout!separate!from!the!other!handouts!and!distribute!it!to!tables!or!desks!

before!the!participants!arrive!at!the!workshop.!

2. Staple!Handouts!1,!page!2!through!Handout!16!together!in!numerical!order!as!one!packet!of!handouts.!

3. Photocopy!Handout!17!separately!and!reserve!this!document!to!distribute!at!the!end!of!the!workshop.!!This!is!the!feedback!form.!4. Photocopy!Handout!12!(I!have,!Who!has?)!on!card!stock!and!cut!into!cards.!Note:!

You!will!need!1!set!of!cards!for!every!12!participants.!

!

!

!

!

!

!

!

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FACILITATION!TIPS!

The!following!is!a!list!of!suggestions!to!keep!in!mind!when!you!are!facilitating!the!

workshop.!

#Learn!about!the!participants!in!the!group!you!are!facilitating.!What!are!their!areas!of!expertise?!What!professional!development!experiences!have!they!had?!

#If!you!are!unfamiliar!with!the!participants,!or!they!with!each!other,!consider!opening!the!session!with!an!icebreaker!activity!in!addition!to!the!Warm"Up.!

#Circulate!as!participants!work!on!small!group!activities.!Observe!and!listen!to!them!to!determine!if!they!understand!the!task!and!have!successfully!gotten!

started.!

#Listen!to!identify!themes!or!particular!approaches!and!ideas!that!youd!like!to!incorporate!into!the!follow"up!discussion.!!

#Articulate!the!purpose!and!intended!results!of!the!session!and!the!component!parts.!!Keep!these!goals!central!as!you!present.!!

#Small!group!work!is!designed!to!for!teachers!to!learn!from!one!another.!Stimulate!discussion!among!participants!and!get!them!actively!involved.!Listen!and!pose!

questions!to!move!their!discussion!forward.!!!

#Be!flexible.!Plan!in!advance,!but!be!ready!to!change!or!adapt!to!meet!the!needs!of!the!group.!

#Look!for!places!to!connect!the!work!to!your!specific!district!situation.!!#Watch!your!pace!!Pacing!suggestions!are!provided!as!guidelines,!but!try!to!gauge!

the!needs!of!the!group.!!A!pacing!guide!is!provided!(Appendix!5).!

#Know!yourself!!Do!you!tend!to!move!and!talk!quickly?!Slowly?!!Want!the!details!or!just!the!big!picture?!!As!you!prepare,!mark!reminders!to!yourself!such!as!keep!

this!brief!or!slow!down.!!


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#Avoid!simply!reading!through!the!presentation!slides!as!you!present.!Practice!the!presentation!so!that!you!are!able!to!use!the!information!on!the!slide!to!remind!

you!of!the!key!ideas.!Do!not!talk!about!every!point!on!the!slide.!

#Anticipate!the!issues!or!problems!that!could!arise!in!the!workshop!and!plan!how!you!would!respond!to!them.!!

#Consider!inviting!feedback!at!the!close!of!the!session!to!help!you!improve!your!facilitation!or!modify!the!workshop.!An!optional!feedback!form!is!included!with!

the!handouts.!

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WORKSHOP!AGENDA!AND!PACING!SUGGESTIONS!

WORKSHOP!AGENDA!"!BROAD!VIEW! !!!!!

Time!

(min)!

Workshop!

Segment!

Description!

5! Warm"Up!

Activity!

Gets!participants!thinking!about!the!topic!of!language!in!the!mathematics!

classroom!

20! Introduction!! Outlines!the!agenda,!goals!and!ground!rules!for!the!workshop.!

25! Language!

Demands!in!

Mathematics!

Explores!the!importance!of language!in!mathematics!learning!and!uses!

classroom!video!to!examine!the!language!demands!present!in!a!middle!grades!

mathematics!lesson.!

45! Vocabulary!

Challenges!in!

Mathematics!

Vocabulary!is!the!intersection!of!the!four!main!language!processes:!reading,!

writing,!listening!and!speaking.!!This!segment!explores!the!kinds!of!vocabulary!

students!need!and!the!challenges!of!learning!vocabulary.!

10! Break! !

!

60!

Vocabulary!

Strategies,!!

Part!1!

Shares!video!examples!of!vocabulary!strategies!and!provides!information!on!

the!research!on!teaching!vocabulary.!

30! Vocabulary!

Strategies,!!

Part!2!

Shares!instructional!activities!for!teaching!vocabulary!in!mathematics!and!

provides!an!opportunity!for!participants!to!apply!these!strategies!to!their!own!

practice!

! Lunch! END!OF!PART!I

30! Embedding!

Vocabulary!

Shares!a!video!example!of!a!lesson!that!reinforces!vocabulary!by!embedding!it!

into!the!lessons!tasks!20! Reviewing!

Vocabulary!

Focuses!on!strategies!for!reinforcing!and!reviewing!vocabulary.!

30! Writing!in!

Mathematics!

Explores!ways!to!support!student!understanding!and!writing!in!mathematics!by!

examining!student!writing!and!discussing!instructional!strategies.!

40! Planning!

Vocabulary!

Instruction!

Introduces!a!model!for!planning!for!the!vocabulary!instruction!in!the!math!

classroom!and!provides!an!opportunity!for!participants!to!do!some!planning!for!

their!own!instruction.!

10! Wrap"Up! Summarizes!the!key!messages!of!the!workshop!and!allows!participants!to!

provide!feedback.!!

! ! !


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WORKSHOP!AGENDA!!DETAILED !VIEW!

Time!

(min)!

Activity! PPT Slides Materials!(Handouts/Video)

5! Warm"up:!! *** H"1,!page1!(Language!in!the!

Math!Classroom)!!

20!

!

Introduction

! Schedule!! Workshop!Topics!and!Goals!! Ground!Rules!! Discuss!Warm"Up!

17!

PowerPoint!Handout!for!

note"taking!(optional)!

!

Handout1,!page!1,!2!

25! Language!Demands!in!Mathematics

Why!is!language!important!to!learning!

mathematics?!

What!language!demands!are!present!in!a!!!math!

lesson?!

Background/Goal!of!Using!Video!!

!"#$%&'()*+')+,-.+/.",(&.*+#0"11&''2+

1. Watch!video!segment!2. Discuss!at!table!groups!3. Reflect!on!your!own!situation!4. Whole!Group!Sharing!

!

8"16!

H"2!(Focus!Question)!

45!

!

!

Vocabulary!in!Mathematics!

! Vocabulary!as!the!intersection!of!4!language!processes:!reading,!writing,!

listening!and!speaking!

! Key!vocabulary!in!lesson!! Types!of!word!knowledge!! Activity:!Identify!and!Classify!Vocabulary!

Words!

! Share!ideas!! Vocabulary!Challenges!Activity!! Vocabulary!Issues!for!Students!with!

Disabilities!

! Review!a!sample!Math!Lesson!

!

17"37!

!

!

H"2!!(Focus!Questions)!

!

H"3!(Identify!and!Classify!

Vocabulary)!

!

H"4!(Vocabulary!Challenges)!

!

!

H"5!(A!Math!Lesson)!

10! Break!

!

60!

Vocabulary!Strategies,!Part!1

Viewing!Video!!

!Review

!

focus!

question!

! Show!Video!Segment:!The!Warm"Up!and!Have!participants!fill!out!related!blocks!on!

video!recording!sheet!

! Discussion!National!Reading!Panel!Research!

!

38"44!

H"6!(Focus!Question)!

!

DVD!Warm"Up!

!

H"7!(Research"based!Strategies)!

!

H"8!(Reflect!on!Video)!

!

!


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Time!

(min)!

Activity! PPT Slides Materials!(Handouts/Video)

! Consider!recommended!strategies!for!special!education!population!

! View!Video!Segment:!Main!Investigation!! Discussion!

Teacher!Interview!

DVD!Main!Investigation

DVD!Teacher!Interview!

30! Vocabulary!Strategies,!Part!2

Exploring!Instruction!Activities:!

! Visual!Definition!! 4"Block!

Partner!Discussion:!!

! How!would!this!activity!benefit!students?!What!might!be!challenging?!How!could!you!

make!it!more!accessible?!

!

45"52!

!

H"9!(Practice!Strategies)!

! End!of!Part!1/Lunch!

!

!

30!

Embedding!Vocabulary!

String!Shapes!Lesson!!

! Lesson!Background!! Show!Video!Embedding!Vocabulary!! Carousel!Sharing!!

!

53"62!

H"10!(Focus!Question)

!

Video!

Embedding!Vocabulary!

!

!

20!

Reviewing!Vocabulary!

! Watch!Video!Segment!Reviewing!Vocabulary!

! Matching!!! I!Have;!Who!Has?!

63"71!

H"10!(Focus!Question)

!

DVD!Reviewing!Vocabulary!

!

H11!(Matching!Cards)!

H12!(I!Have;!Who!Has?)!

!

!

30!

Writing!in

!Mathematics

!

! Analyze!problem!! Examine!student!writing!! Discuss!strategies!! Whats!Missing!Activity!

!

72"77!

H"13!(Examine!a!Math

!Task)

H"14!(Whats!Missing?)!

H"15!(Strategies!for!Writing!

in!Math)!

40! Planning!Vocabulary!Instruction

! Planning!Activity!! Share!Plans!With!Group!

!

78"81!

H"16!(Planning!Instruction)!!

10! Wrap"Up! 82"84 H"17!(Feedback!Form)


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PACING!SUGGESTIONS!

Sometimes!the!pacing!of!a!workshop!does!not!go!as!expected.!Perhaps!an!activity!or!

discussion!takes!you!in!a!different!direction!or!requires!more!time!than!you!planned.!If!you!

find!yourself!running!behind!schedule,!you!will!need!to!make!some!decisions!about!what!to!

shorten!or!eliminate.!Below!are!some!guidelines!to!support!your!decision"making.!

Workshop!

Segment!Adjustments!

Approx.!

Savings!

(min)!

Reinforcing!

Vocabulary!

Omit!Slides!62"66!and!accompanying!activities!and!video.!!

This!is!an!example!of!embedding!vocabulary!

!

15"20!

Planning!

Vocabulary!

Instruction!

Planning!is!a!very!valuable!part!of!the!workshop.!!This!offers!

the!best!opportunity!for!participants!to!process!their!

learning!and!apply!it!to!their!own!situation.!!It!also!enables!

them!to!more!readily!bring!the!professional!development!

experience!back!to!their!classroom!practice.!!For!this!

reason,!it!is!not!recommended!that!you!eliminate!the!co"

planning!segment.!!Further,!you!need!to!provide!at!least!30!

minutes!for!productive!planning.!Do!not!cut!this!segment!

shorter!than!that.!!You!could!cut!the!sharing!out!of!the!plans!

and!do!this!at!another!time.!

!

!

10!

Writing!in!

Mathematics!You!could!omit!this!section!entirely!to!save!time!or!do!it!at!a!

separate!time.!

30!


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SLIDE!NOTES!GUIDE!

PART !1!

INTRODUCTION !! 7 !SLIDES,!APPROXIMATELY !20 !MINUTES !Slide!1!

!

Handout!1!!Language!in!the!Math!

Classroom!

!

Purpose:!!

To!welcome!and!situate!participants!and!to!engage!them!

in!the!subject!of!the!workshop!by!providing!some!

individual!reflection!prior!to!the!start!of!the!workshop!

Action:!

!In!advance!of!the!workshop,!type!your!name,!contact!

information!and!any!other!relevant!details!after!

Facilitator:!!

Display!this!slide!as!participants!are!arriving.!Have!the!

Warm"Up!available!for!them!to!complete.!

If!desired,!have!participants!sign!attendance!sheet.!

Talking!Points:!

Please!read!the!slide!which!provides!some!details!about!

getting!started.!!In!advance!of!the!start!of!the!workshop,!

please!work!individually!on!the!warm"up.!!Well!have!a!

chance!to!discuss!this!page!early!in!the!workshop.!

!

!

!


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Slide!2!

Purpose:!To!establish!the!workshop!goals!

Talking!Points:!!

Here!is!what!we!aim!to!accomplish!as!goals!today.!!

[read!slide]

!

Slide!3!

Purpose:!To!outline!the!topics!of!the!workshop!

Talking!points:!!

Lets!look!at!the!key!topics!of!the!workshop.!The!

workshop!begins!by!looking!at!the!language!demands!

present!in!the!!mathematics!classroom.!!!

Then,!it!moves!to!a!focus!on!developing!and!

implementing!vocabulary!and!language!strategies!

designed!to!improve!math!learning.!Next!the!workshop!

will!address

!some

!strategie

!to

!support

!students

!in

!

writing!in!mathematics.!!The!workshop!concludes!with!

an!opportunity!for!collaborative!planning.!!

!

!

!

!


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Slide!4!

!

Purpose:!To!establish!guidelines!for!working!together!

Talking!Points:!!

Ground!Rules!help!facilitate!the!work!of!groups!in!

achieving!particular!goals.!It!is!important!to!review!them!

and!to

!convey

!that

!they

!represent

!our

!hopes

!for

!how

!to

!

work!together.!!This!helps!to!get!everyone!on!the!same!

page.!Here!are!the!ground!rules!I!am!suggesting.![read!

slide]!

Action:!Invite!clarifying!questions!and!additions!to!this!list!

of!ground!rules.!!!

Action:!Point!out!the!Parking!Lot.!

Talking!Points:

!!The!Parking!Lot!is!where!we!note!subjects!that!come!up!

(such!as!related!but!tangential!topics)!that!we!would!like!

to!pursue!further.!It!helps!us!stay!on!track!to!complete!

the!workshop!while!honoring!the!important!issues!that!

may!come!up!as!we!work!today.!If!we!keep!track!of!them!

here,!we!can!make!a!plan!to!discuss!them!further!at!

another!time.!

Action:!You!can!ask!participants!if!anyone!uses!this!

strategy!in!their!classroom.!

Note:!!In!advance!of!the!workshop,!post!these!ground!rules!in!

the!room!where!participants!can!view!and!refer!to!them!

throughout!the!session.!You!can!also!modify!the!list!as!the!

group!decides.!!

Also,!designate!an!easel!with!chart!paper,!a!posted!piece!of!

easel!paper,!or!a!section!of!a!whiteboard!for!maintaining!the!

list!of!parking!lot!items.!!Entitle!the!area!PARKING!LOT!!


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Slide!5!

Handout!1,!page!2!!

Language!in!the!Math!

Classroom!

!

Talking!Points:!

Lets!look!at!the!warm!up!problem!on!Handout!1,!page!1.!

Did!you!have!enough!time!to!work!on!the!problem?!!!

!

Note:!

If!

many!

have!

not!

finished,!

provide!

more!

time.!!

If!

only!a!few!have!not!finished!or!arrived!late!and!did!not!do!

it,!you!could!have!them!make!a!group!of!three!for!the!

next!part!of!the!warm"up.!!They!can!observe!and!offer!

their!observations!in!the!discussion.!

!

Talking!Points:!

Now!lets!go!to!the!next!page!of!Handout!1.!

With!a!partner,!you!are!going!to!describe!how!you!

approached!the!problem.!But!there!are!some!rules!""""!

you!cannot!point!to!your!work!or!show!it!and!you!cannot!

use!certain

!words.

!!These

!are

!listed

!on

!the

!page.

!After

!

you!have!each!had!a!turn!to!explain!your!approach,!

discuss!question!#2.!Then,!well!come!back!together!and!

talk!about!this!experience.!

!

!

!

!

!

!

!

!

!

!

!


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Slide!6!

!

!

!

!

Talking!Points:

Lets!talk!together!now!about!your!experiences.!!What!was!

it!like!to!try!to!describe!something!with!your!word!choice!

limited?!

!

[Possible!Follow

!up

!questions]

!

! How!did!you!feel!when!you!were!doing!this?!! What!did!it!make!you!think!about?!! How!would!it!have!been!different!if!you!could!have!

used!any!words!you!wanted?!

! What!do!you!think!the!point!of!our!doing!this!is?!!

The!purpose!of!the!warm"up!was!to!simulate!how!it!feels!to!

try!to!explain!something!with!a!limited!vocabulary.!!You!

might!have!been!successful!in!solving!the!problem!but!

struggled!to!explain!your!thinking.!Students!with!language!

disabilities!sometimes!experience!challenges!in!explaining!

themselves!when!they!cannot!access!the!vocabulary!they!

need.!!

!

!

!

!

!

!

!

!

!

!

!


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LANGUAGE!DEMANDS!IN !MATHEMATICS! 9 !SLIDES,!APPROXIMATELY !25 !MINUTES !Slide!7!

!

Talking!Point:!

Here!

is!

a!

little!

example!

to!

illustrate!

how!

students!

sometimes!interpret!language!very!literally!in!

mathematics.!Here!the!student!has!found!x!and!circled!it!

when!the!problem!really!means!for!the!student!to!solve!

for!the!value!of!x.!

!

Slide!8!

!

!


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25/116


Slide!11!

!

Talking!Points!

David!Allsopp!has!done!quite!a!bit!of!research!related!to!

teaching!mathematics!to!students!with!disabilities.!!!

Here!are!a!couple!of!findings!about!language!that!he!

shares!in

!a!book

!called

!Teaching

!Mathematics

!

Meaningfully.!![read!slide]!

!

!

!

!

!

Slide!12!

!

Talking!Points!

Language!Proficiency!can!affect!math!learning.!

Here!are!just!a!few!examples!that!illustrate!what!might!

go!wrong!when!students!are!not!proficient!in!language.!!

[Read!slide]!

!

I!wonder!if!you!have!any!experiences!to!share!about!

how!language!proficiency!effects!math!learning?!

[allow!time!to!participants!to!share!their!stories]!

!


26/116


27/116


Slide!15!

!

!Video!

Introduction!

!Handout!2!

Focus!Questions!for!

Video!

!

!

Talking!Points:!

In!order!to!focus!our!discussion,!I!am!going!to!give!you!

a!question!or!two!for!each!segment!of!video!that!we!

watch.!!On!Handout!2!you!can!record!your!observations!

if!you

!wish.

!This

!may

!be

!helpful

!when

!we

!discuss

!it

!

after.!If!you!prefer!to!just!watch!with!the!question!in!

mind,!that!is!fine!too.!

As!you!watch!consider!the!question:!

What!does!this!lesson!demand!in!terms!of!language!

skills?!

Youll!also!see!a!space!on!the!recording!sheet!for!you!to!

jot!down!vocabulary!you!hear!that!you!think!is!

important.!

Action:!Show!clip!called!Introduction.!

!

Pacing!Note:!This!video!clip!is!approximately!5!minutes!in!

length.!

!

!

!

!

!

!

!

!

!

!

!


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Slide!16!

!

Purpose:!To!discuss!the!language!demands!in!a!math!

lesson!using!the!video!as!a!launching!pad!

Talking!Point:!

Now,!at!your!table!group,!please!discuss!your!

observations!about!the!language!demands!in!the!lesson!

clip!we!just!watched.!!!Then,!after!everyone!has!had!a!

chance!to!share,!discuss!the!second!question!on!the!

slide.!

!


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VOCABULARY !IN !MATHEMATICS! 21 !SLIDES, !APPROXIMATELY!45 !MINUTES!Slide!17!

!

Talking!Points:!

These!

are!

4!

language!

processes!

that!

are!

used!

in!

most!

middle!grades!math!classes.!!Listening,!Speaking,!

Reading,!and!Writing!!

I!think!all!of!you!identified!demands!of!the!lesson!that!

fell!into!each!of!these!categories.!

!

!

!

!

Slide!18!

!

Purpose:!To!establish!a!workshop!focus!on!vocabulary!as!

the!intersection!of!4!language!processes!

Talking!Point:!

Vocabulary!is!at!the!intersection!of!these!processes!

because!each!process!requires!the!use!of!vocabulary.!!

!In!teaching!math!there!are!some!unique!issues!related!

to!vocabulary.

!!We

!are

!going

!to

!focus

!on

!this

!next.

!

!

!

!

!

!

!

!

!


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Slide!19!

!

Talking!Points:!

Lets!look!at!vocabulary.!!We!can!break!vocabulary!use!

into!two!areas:!

Receptive!"""vocabulary!that!which!you!receive,!such!as!

when!you

!are

!reading

!or

!listening

!to

!someone

!speak.

!

Expressive!""vocabulary!used!to!convey!ideas!in!writing!

or!speaking.!

Here!are!the!demands!of!receptive.!!Reading!and!

listening!requires.[read!slide]!

!

Here!are!the!demands!of!expressive.!!Reading!and!

writing!requires[read!slide]!

!

Slide!20

!

!

See!handout!on!next!page!

!

Talking!point:!

Lets!talk!about!the!vocabulary!you!identified!in!the!

video.!

Im!going!to!record!the!words!that!you!heard.!!You!can!

just!call!them!out!as!I!record.!![on!chart!paper!or!white!

board]!

Action:!As!participants!call!out!words,!place!them!in!three!

columns!(specific!math!vocab,!context!vocab,!process!

vocab)!but!dont!label!the!columns!yet.!Its!okay!if!you!

dont!have

!responses

!in

!all

!of

!the

!columns.

!

Talking!point:!

You!probably!noticed!that!I!grouped!the!words!as!I!

recorded!them.!!Does!anyone!see!a!pattern!in!how!I!

have!grouped!them?!!How!might!you!label!the!columns?!

!

Facilitator!Notes:!It!is!okay!if!you!use!different!labels!for!the!

columns.!!The!titles!themselves!are!not!as!important!as!the!

idea!that!there!are!different!kinds!of!vocabulary!that!students!need!in!math.!

!

!


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Slide!20!(continued)!

!Handout!2!


Video!

!

!

Slide!21!

!

Purpose:!to!underscore!the!different!types!of!vocabulary!

knowledge!and!students!need!for!math!

Talking!Points:!

Here!are!the!labels!that!I!will!be!using!to!distinguish!

different!types!of!vocabulary!present!in!the!math!class.!

The!vocabulary!of!the!math!class!could!be!broken!into!

three!categories.!

[read!each

!bullet

!including

!the

!examples.

!You

!can

!add

!

other!examples!if!youd!like.]!

!

!

!

!

!

!

!


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Slide!22!

!

!Handout!3!

Identify!and!Classify!

Vocabulary!

!

Note:!this!handout!has!4!pages!

Purpose:!The!goal!of!this!activity!is!for!participants!to!

practice!examining!a!task!for!the!range!of!vocabulary!and!

to!prioritize!importance!of!the!language!in!order!to!make!

instructional!decisions.!

Talking!Point:!

Next,!were!going!to!examine!some!vocabulary!in!math!

problems.!!Id!like!you!to!work!in!pairs!or!groups!of!three!

and!do!the!following:!

!

[read!the!slide.]!

!

Im!going!to!provide!different!problems!to!different!

groups,!so!that!there!is!variety.!!Some!groups!will!be!

working!on

!the

!same

!problem.

!!

Action:!After!groups!have!had!about!20!minutes!to!work,!

direct!participants!to!join!up!with!a!pair!or!group!who!

worked!on!the!same!problem!they!did.!Ask!them!to!

discuss!their!ideas.!

!

Facilitation!Note:!Five!problems!(Problems!3a"3e)!are!provided!

for!this!activity.!!You!should!select!no!more!than!3!to!use.!!

Assign!each!pair!one!problem!to!work!on.!!Be!sure!that!two!

groups!have!the!same!problem,!so!that!they!can!discuss!it!at!

the!end.!!If!you!prefer,!you!might!select!only!one!problem!and!have!everyone!use!the!same!one.!!Additionally,!if!you!would!

like!to!personalize!the!workshop,!you!could!replace!these!

problems!with!a!problem!or!problems!from!your!own!

curriculum!materials!or!state!assessment.!!Be!sure!to!select!

problems!that!are!language"rich!and!contain!a!variety!of!types!

of!vocabulary.!

!

!

!

!

!


33/116


Slide!23!

!

!

!

Action:!After!groups!have!had!a!chance!to!share!with!

another!group,!ask!the!whole!group!to!consider!these!

questions.!Facilitate!a!whole"group!discussion!

Facilitation!Note:!Some!ideas!that!may!emerge!or!that!you!

may!want!to!bring!up:!

Some!process!words!are!words!that!students!come!across!

routinely!in!constructed!response.!If!students!do!not!answer!a!

question!well,!it!may!be!that!they!need!support!with!these!

process!words.!What!does!it!mean!to!explain!your!thinking!

or!show!your!work,!for!example?!How!is!this!different!from!

other!subject!areas?!

Other!math!vocabulary!words!might!be!content"specific.!!

These!are!usually!quite!essential!to!success!in!solving!a!

problem.!Building!understanding!behind!the!definition!is!important!to!helping!students!retain!and!retrieve!the!

definition!later.!!!

Context!words!may!or!may!not!be!essential!for!solving!a!

problem.!But,!even!if!students!dont!need!to!know!the!

meaning!of!a!word!to!solve!a!problem,!they!might!give!up!on!a!

problem!if!they!dont!know!the!word.!So,!they!dont!need!to!

know!what!a!whole!number!is!to!answer!the!multiple!choice!

question.!!Nor!do!they!need!to!know!what!a!florist!is.!But,!

knowing!these!words!may!make!it!easier!to!envision!the!

situation!and!more!likely!that!they!will!stick!with!the!problem.!!!

Slide!24

!

!

Purpose:!To!provide!an!example!of!a!strategy!to!make!

language!accessible!

Talking!Points:!

This!is!an!actual!item!from!the!8th!grade!Colorado!State!

Math!Assessment.!!In!addition!to!the!text!of!the!

problem,!the!definitions!of!two!words!are!provided!as!

shown!here.![Read!slide]!

The!developers!of!this!test!dont!want!context!

vocabulary!to

!be

!an

!obstacle

!to

!showing

!math

!

understanding.!!

So,!their!strategy!is!to!provide!definitions!as!a!resource!

to!students.!!


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Slide!25!

!

!

!

!

!

!

Slide!26

!

!

Talking!Points:!

One!reason!students!struggle!when!reading!

mathematics!is!!!

[read!slide]!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


35/116


Slide!27!

!

Talking!Point:!

Here!is!a!comparison.![read!fiction!example!and!then!the!

math!text]!

Action:!Ask

!for

!comments

!from

!the

!group

!on

!the

!question

!

at!the!bottom!of!the!slide.!

!

Slide!28

!

!

Talking!Point:!Another!challenge!is!that!math!has!symbols!to!learn!in!

addition!to!words.!!Learning!math!vocabulary!means!

learning!symbols,!too.!

!

!

!

!

!

!

!

!

!

!

!


36/116


Slide!29!

!

!

Talking!point:!

[Read!slide.]!

When!was!the!last!time!you!heard!these!words!outside!

of!math!class?!

This!means

!students

!have

!probably

!not

!heard

!the

!word

!

very!often.!

!

Slide!30!

!


!

!

!

!

!

!

Purpose:!The!goal!of!this!activity!is!to!think!about!why!

language!is!uniquely!challenging!in!the!math!classroom.!!!

Talking!point:!

Lets!do!an!activity!now!to!dig!deeper!into!the!

challenges!of!vocabulary!in!the!math!classroom.!!Youll!

be!using!Handout!4!for!this!activity.!

!

[Review!the!steps!of!this!activity!as!outlined!on!the!

slide.]!!

Action:!!As!you!circulate!during!the!group!work,!make!

sure!that!participants!know!that!they!do!not!need!to!

come!up!with!an!example!for!each!category.!

!


37/116


Slide!30(continued)!

!Handout!4!

Vocabulary!Challenges!!

!

Slide!31!

!

Purpose:!!To!conclude!a!discussion!of!common!

vocabulary!challenges!and!begin!to!shift!focus!to!

strategies!

!

Talking!points:!

Lets!talk!now!together!about!your!experiences!and!

strategies.!

!

Action:!Read!the!two!questions!and!facilitate!a!discussion.!!

You!could

!record

!their

!ideas

!and

!strategies

!if

!youd

!like.

!

Sometimes!creating!a!list!encourages!responses.!This!

should!be!a!brief!5"minute!discussion.!

!

!

!

!

!

!


38/116


Slide!32!

!

!

Slide!33

!

!

Purpose:!To!provide!information!about!three!areas!of!

difficulty!in!vocabulary!for!students!with!disabilities!

Talking!Points:!

We!know!that!vocabulary!can!be!challenging!for!all!

students,!and!now!I!want!to!!focus!us!on!students!with!

disabilities.!

Here!are!a!few!areas!of!difficulty!for!students!with!

disabilities.!!Well!talk!a!bit!about!each!of!these!on!the!

upcoming!slides.!

!

[Read!three!bullet!points]!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!34!

!

Talking!Point:!!

Some!students!with!disabilities!have!trouble!with!

decoding!""!that!is,!the!use!of!phonics!to!decipher!print!

patterns!and!translate!them!into!the!sounds!of!

language.!In!math,!students!are!called!upon!to!do!a!lot!

of!decoding.!Whats!involved!in!decoding!in!math?!

[Read!bullet!points]!

So,!decoding!in!math!involves!an!even!higher!demand!of!

thinking!and!processing!than!other!subject!areas.!!Its!

more!involved!than!just!decoding!words.!

!

Slide!35

!

!

Talking!points:!

Now!this!is!an!interesting!thing!to!consider.!!We!all!have!

experiences!with!students!who!struggle!with!story!or!

word!problems.!!Think!about!how!the!structure!of!these!

is!different!from!the!reading!students!experience!in!

other!subjects.!

!

[Share!first!bullet]!

!

The!structure,!in!math,!is!turned!upside!down.!!So,!we!

need!to

!support

!students

!in

!learning

!this

!different

!

structure!and!perhaps,!in!reorganizing!the!information!

so!they!can!tackle!the!problem.!

Solving!problems!requires!students!to!determine!the!

necessary!information.!

!

[share!second!bullet]!

!

!

!

!


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Slide!36!

!

Talking!Point!

Lets!think!about!expressive!language.!

!

[Read!slide.]!

!

Slide!37

!

!


!

!

!

!

!

!

!

Talking!points:!

We!are!going!to!watch!some!more!video.!!First,!though,!I!

want!you!to!be!familiar!with!the!math!content.!!So,!

using!Handout!5,!Id!like!you!to!do!the!following:!

!

[Read!bullets]!

!

Then!discuss!your!answers!with!a!partner!at!your!table.!


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!Handout!5!

A!Math!Lesson!

!Note:!This!handout!has!4!pages.!


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VOCABULARY !STRATEGIES:!PART!1 ! ! 7!SLIDES,!APPROXIMATELY !60 !MINUTES !Slide!38!

!

Video!

Warm!Up!

!Handout!6!

Focus!Question!for!Video!

!

Talking!Points:!

Now,!

well!

shift!

to!

the!

video!

to!

look!

for!

strategies!

to!

support!the!learning!of!vocabulary.!

Once!again,!you!can!use!Handout!6!to!record!their!

observations!if!youd!like.!!You!dont!have!to!write!down!

your!ideas.!!This!is!primarily!provided!to!keep!the!

question!in!the!forefront!for!viewing.!

[Read!slide]!

Action:!Show!clip!called!Warm!Up!Activity!

Pacing!Note:!This!video!clip!is!3!!minutes!in!length.!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!39!

!

Talking!Point:!

Now,!turn!to!a!partner!and!share!two!strategies!that!

you!observed.!

!

!

!

!

Slide!40!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!41!

!

!

Handout!7!

Research"based!

Strategies!for!Teaching!

and!Learning!Vocabulary!

!

Talking!Points:!

So!what!does!the!research!say!about!teaching!

vocabulary?!

The!National!Reading!Panel!was!convened!in!1997!by!a!

request!from

!Congress.

!Its

!charge

!was

!to

!assess

!the

!

effectiveness!of!different!approaches!used!to!teach!

children!to!read.!In!2000,!the!NRP!concluded!its!work!

and!submitted!"The!Report!of!the!National!Reading!

Panel:!Teaching!Children!to!Read,"!at!a!hearing!before!

the!U.S.!Senate!Appropriations!Committee's!

Subcommittee!on!Labor,!Health!and!Human!Services,!

and!Education.!

That!report!offered!findings!and!determinations!for!

many!topics!related!to!reading,!including!vocabulary.!!

They!are

!included

!on

!Handout

!7.

!

Heres!what!they!found.!!!

!

[Review!the!slide.]!

!

The!research!says!its!important!to!deliberately!teach!

the!vocabulary.!In!todays!workshop,!well!explore!how!

to!incorporate!these!recommendations!in!instruction.!!

Notes:!Embedding!instruction!in!rich!contexts:!!students!can!access!

the!vocabulary!more!successfully!when!it!is!included!in!situations!

which!students!can!relate!to.!!This!embedding!supports!learning!and!retrieval!of!vocabulary!

Incidental!opportunities!"""these!are!the!situations!in!which!the!

vocabulary!might!not!be!central,!but!students!can!hear!it!and!even!

apply!it!to!a!situation.!

!

!

(For!more!information!on!the!report,!visit!

http://www.nichd.nih.gov/publications/nrp/findings.cfm)!!

!

!

!


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Slide!42!

!

Video!

Main!Investigation!

!Handout!7!

Research"based!

Strategies!for!Teaching!

and!Learning!Vocabulary!

!

!

Talking!Point:!

Were!going!to!watch!the!main!lesson!now.!!Here!is!the!

focus!question:!!

!

[read!bullet]

!

!

You!can!use!Handout!7!to!record!your!observations!and!

ideas.!!!

Action:!Show!clip!called!Main!Investigation!

Pacing!Note:!This!video!clip!is!7!minutes!in!length.!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!43!

!

!

Handout!8!

Reflect!on!the!Video!

!

Talking!Point:!

Now,!Id!like!to!give!you!more!time!to!dig!into!these!NRP!

strategies!by!completing!Handout!8!with!a!partner.!

Discuss!these!two!questions.![read!slide.]!

After!we!have!completed!this!section,!well!watch!the!

teacher!interview!clip.!

!

!

!

!

!

!

!

!

!

!

!


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Slide!44!

!

Video!

Teacher!Interview!

!Handout!8!


Video!

!

!

Purpose:!To!summarize!the!messages!of!this!section!and!

hear!about!the!teachers!thinking!

Talking!point:!!

[Read!slide]!!

At!the!very!bottom!of!Handout!8,!there!is!a!space!for!

notes.!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


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VOCABULARY !STRATEGIES:!PART!2! 8 !SLIDES,!APPROX.!30 !MINUTES !

Slide!45!

!

Talking!Points:!

Were!

going!

to!

talk!

about!

a!

process!

for!

teaching!

vocabulary!in!mathematics!so!that!it!is!better!undersood!

and!retreived.!

!

Its!helpful!to!think!about!these!three!steps:!

First[read!first!bullet]!

Second[read!second!bullet]!

Third[read!third!bullet]!

!

!

!

Slide!46!

!

Talking!Point:!

Well!start!by!looking!at!strategies!designed!to!build!

and!refine!definitions!of!key!vocabulary!terms.!

!

!

!

!

!

!

!

!

!

!


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Slide!47!

!

Talking!Points:!

One!way!to!help!students!learn!vocabulary!is!to!build!

understanding!through!visuals.!!In!this!case,!the!shapes!

are!grouped!as!polygons!and!not!polygons.!

!

The!teacher!can!provide!more!shapes!and!ask!the!

students!if!they!think!they!are!polygons!or!not.!Once!

students!get!a!bigger!group!of!shapes!sorted,!they!can!

try!to!create!a!definition!for!the!word.!

!

!

Slide!48!

!

!

Talking!Point:!

Another!strategy!for!teaching!vocabulary!is!called!a!

Vocabulary!4"Block!

!

[Read!top!of!slide]!

Here!are!some!details!about!what!kinds!of!things!might!

go!in!each!of!the!blocks.!!This!doesnt!need!to!be!too!

prescriptive.!!There!might!be!some!variability!in!what!is!

contained!in!a!space!depending!upon!the!word.!!But,!

here!is

!one

!example.

!!!You

!have

!the

!term

!written

!in

!the

!

middle!and!here!are!the!four!blocks.!

!

[Read!the!descriptors!for!each!block]!

!


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Slide!49!

!

Talking!Point:!

Here!is!an!example!of!a!4"block!created!by!a!student!for!

the!term!!median!

[Read!what!is!contained!in!each!of!the!blocks]!

!

!

!

!

!

Slide!50!

!

See!handout!next!page!

!

!

!

!

!

!

!

!

!

!

!

!

!

Talking!Point:!

Now!you!will!have!a!chance!to!try!out!planning!one!of!

these!strategies.

!!!

!

Heres!what!Id!like!you!to!do!.!

First,!locate!Handout!9.!!You!are!going!to!.!

!

[read!slide]!

!!

!

!

!

!

!

!

!

!

!


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!Handout!9!

Practice!Strategies!

!

Note:!This!handout!has!2!pages!

Slide!51!

!

!

Talking!Points:!

Okay,!now!Id!like!to!give!you!a!chance!to!share!your!

work!and!discuss!the!experience!with!a!partner.!

Please!turn!to!a!partner!and!explain!your!strategy.!

After!you!have!shared!your!strategy,!discuss!these!

questions.!

!

[read!questions]!

!

Then,!at!the!end!of!your!partner!discussion!,!Id!like!you!

to!identify!one!idea!from!your!discussion!to!share!out!

with!the!whole!group.!

!

!

!

!

!

!

!


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END!OF!PART !1!

Slide!52!

!

!

!

Talking!Point:!

!

[Read!

slide]!


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Slide!55!

!

Talking!Points!

What!do!we!mean!by!this!and!why!would!we!do!this?!

Well,!it!is!important!to!use!vocabulary!in!ongoing!work!.!

Using!vocabulary!in!context!anchors!the!vocabulary!

within!a!real

!situation.

!!Knowing

!the

!definition

!of

!median

!

is!one!thing;!being!able!to!calculate!the!median!from!a!

data!set!and!draw!a!conclusion!is!more!mathematically!

sophisticated!and!powerful.!!The!context!can!also!help!

reinforce!the!meaning!of!the!vocabulary!and!assist!

students!in!retrieval!of!that!information!later.!

!

Secondly,!embedding!vocabulary!that!has!already!been!

taught!will!provide!more!opportunities!for!the!students!

to!see,!use,!hear!and!write!the!vocabulary.!!This!

repetition,!in

!varied

!language

!modalities,

!as

!we

!

discussed,!is!critical!to!learning!and!retaining!vocabulary.!

Slide!56!

!

Talking!Point:!

Next!we!are!going!to!look!at!a!classroom!video!example!

of!a!lesson!that!embeds!vocabulary.!It!is!called!String!

Shapes!and!is!featured!in!the!upcoming!video!clip.!

Heres!some!information!about!the!lesson:!

!

[read!bullets]!

!


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Slide!57!

!

Purpose:!To!familiarize!participants!with!the!math!activity!

and!problem!featured!in!the!video!

Talking!

Points:!

Here!is!the!problem!that!students!are!working!on!in!the!

video.!!The!curriculum!materials!call!them!clues.!!Your!

job!is!to!discuss!whether!you!can!make!a!shape!that!fits!

the!given!criteria.!

[Read!slide]!

!

Slide!58!

!

!

Talking!Point:!

Next!we!are!going!to!watch!a!video!of!a!class!working!on!

the!string!shapes!lesson.!!Here!is!some!background.!

!

[read!slide]!

!

!


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Slide!59!

!

[Read!Slide]!

Slide!60!

!

Video!!

Embedding!

Vocabulary!

!

See!handout

!on

!next

!page

!

!

!

Talking!Point:!

Now!well!watch!the!video!of!the!lesson.!

Please!use!handout!10!for!your!note"taking.!!Just!the!top!

part.!!The!bottom!is!for!the!next!video!segment.!This!is!the!

question!for!you!to!focus!on:!

!

[Read!question]!

!

Action:!Show!clip!called!Embedding!Vocabulary!

!


length.!

!

!

!

!

!


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!Handout!10!


Video!

!

!

!

!

!

!

Slide!61!

!

!

!

!

!

Talking!Point:!

Youll!see!chart!paper!posted!around!the!room.!!Each!

poster!has!a!question!for!you!to!consider.!

This!is!the!procedure.!!!

[read!bullets]!

!

Note:!Youll!need!to!announce!the!pairs!or!groups!of!three!and!

assign!them!a!poster!at!which!to!start.!!Youll!also!need!to!make!

the!

posters!

in!

advance!

of!

the!

workshop.!!!

!

Pacing!Note:!!Allow!groups!approximately!3!minutes!at!each!

chart.!!Signal!when!its!time!to!move!by!ringing!a!bell!or!calling!

out!Time!to!move!to!the!next!chart.!

!

Carousel!Questions!(5!pieces!of!chart!paper)!

!

1.!What!are!good!strategies!for!introducing!and!developing!

understanding!of!vocabulary?!

!

2.!What!are!good!strategies!for!embedding!vocabulary!in!math!instruction?!

!

3.!What!are!good!strategies!for!reviewing!vocabulary?!

!


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Slide!65!

!

Video!

Reviewing!Vocabulary!

!Handout!10!


Video!

!

!

Talking!Point:!

Lets!pick!back!up!with!the!class!we!watched!doing!the!

string!shapes!lesson.!!They!have!moved!on!in!their!unit!of!

study.!

Here!

is!

the!

focus!

question!

on!

Handout!

10.!

[Read!slide.]!

Action:!Show!clip!called!Reviewing!Vocabulary!


length.!

Note:!The!DVD!contains!one!more!clip!entitled!"Students!Share!

Thinking.!This!video!clip!is!not!used!in!the!workshop!but!is!

provided!for!your!use!at!another!time!should!you!choose.!A!

focus!question!for!use!with!this!clip!is:!!"What!vocabulary!do!

students!use!to!share!their!understanding!of!the!mathematics?"!

This!video!segment!is!completely!optional!and!has!not!been!

integrated!into!the!workshop.!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!66!

!

Talking!Point:!!

Please!turn!to!!a!partner!and!discuss!this!question.![read!

slide.]!

!

!

Note:!If!youd!like!to!get!participants!up!and!moving!a!little,!you!

can!ask!them!to!find!someone!with!the!same!color!shirt!(or!close!

to!the!same!color!if!there!is!not!a!match!)!with!whom!they!

havent!had!a!chance!to!work!yet!today.!

!

Slide!67!

!

See!Handout!on!next!page!

!

!

!

!

!

!

!

!

!

!

Talking!Point:!

Here!is!an!example!of!cards!that!can!be!used!to!

reinforce/review!vocabulary.!

Some!teachers!provide!the!card!with!the!term!and!blank!

cards!for!the!students!to!create!the!definition!and!picture.!

Others!provide!the!completed!cards!to!students!to!match.!

!

The!students!add!new!sets!of!matching!cards!to!their!set!

as!they!explore!new!vocabulary.!Then,!they!can!use!the!

cards!for

!reference

!and

!review.

!

Handout!11!!shows!the!layout!and!another!example!of!

this!matching!activity.!

!


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Handout!13!

Examine!a!Math!Task!

!

!

Slide!68!

!

Talking!Point:!

The!next!activity!is!called!I!Have,!Who!Has?!!Is!anyone!

familiar!with!the!activity?!!!

Let!me!share!an!example!with!you.!

[read!slide.]!

!

!

!

!

!

!

!

!

!


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Slide!69!

!

!Handout

!14

!Activity!Cards!

!

Note:!This!handout!has!2!

Talking!Point:!

So!lets!get!started.!!Ill!be!dividing!you!up!into!groups!

shortly.!!Let!me!tell!you!what!you!will!do!to!get!started!

and!to!play!the!game!with!your!group.!

[Read!

the!

steps!

on!

the!

slide]!

!

You!may!never!have!taught!some!of!this!vocabulary.!!So,!

when!you!get!your!card,!if!you!dont!remember!what!the!

term!means,!ask!someone!to!help!you!before!the!game!

starts.!

Action:!To!set!up!this!activity:!

1. Create!groups!of!6"12!participants.!!If!you!have!a!larger!group,!youll!need!multiple!groups!and!sets!of!cards!

2. Have!participants!stand!in!a!circle.!Distribute!all!of!the!cards.!(Some!people!may!have!more!cards!than!others.!

Thats!okay.!You!MUST!distribute!all!of!the!cards!or!the!

activity!wont!work!)!

Note:!In!advance!of!the!workshop,!create!Activity!Cards!from!

Handout!12.!If!you!have!some!participants!with!experience!with!

this!activity,!you!might!want!to!distribute!them!among!the!

groups!to!help!guide!the!activity.!

!

!

!

!

!

!

!

!

!


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Slide!70!

!

Handout!12

!

I!Have,!Who!Has?!Activity!

Card!Master!

!

Note:!This!handout!has!2!pages.!

Talking!Point:!!

The!master!for!a!set!of!cards!is!provided!on!Handout!12.!

This!activity!can!be!used!in!a!variety!of!ways.!!Here!are!

some!examples.!!!

[read!top

!part

!of

!slide]

!

Action:!Facilitate!a!discussion!using!the!questions!on!the!

slide.!This!should!take!no!more!than!5"10!minutes.!

!


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Slide!71!

!

Talking!Points:!

To!summarize!what!we!have!been!discussing,!here!are!a!

few!things!to!keep!in!mind![read!slide.]!

!


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WRITING!IN !MATHEMATICS! 6!SLIDES,!APPROXIMATELY !30 !MINUTES !Slide!72!

!

!

!

!

!

Slide!73!

!

Talking!Point:!

Writing!is!helpful!to!students!in!learning!mathematics!as!it!

can:![read!bullet!points!on!slide.]!

While!it!has!many!benefits,!writing!also!poses!barriers!for!

some!students.!

!

!

!

!


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Slide!74!

!

Handout!13!

Examine!a!Math!Task!

!

Talking!Point:!

To!better!understand!potential!barriers,!lets!examine!the!

math!task!on!Handout!13.!

[read!slide]

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!

!


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Slide!76!

!

Talking!Point:!

Here!is!an!example!of!how!the!students!response!might!be!

strengthened!with!the!inclusion!of!mathematical!

vocabulary.!!

[read!the!bottom!example!on!the!slide.]!

!!

Slide!77

!

!


!

!

!

!

!

!

!

!

!

!

!

Talking!Point:!!!

In!summary,!lets!look!at!some!strategies!for!helping!

students!with!writing!in!mathematics.!Well!be!using!

Handout!15!which!provides!a!list!of!strategies.!!!

[read!slide.]!

!


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Slide!77!(cont.)!!

!Handout!15!

Strategies!for!Writing!in!Math!

!

Note:!This!handout!has!3!

pages.!

!

!

!

!

!

!

!

!

!

!

!

!


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PLANNING!VOCABULARY !INSTRUCTION! 4 !SLIDES,!APPROXIMATELY !40 !MINUTES !Slide!78!

!

!

!

!

Slide!79!

!

Talking!Point:!

Before!we!go!on!to!do!some!actual!collaborative!planning,!

lets!review!some!key!messages!of!todays!work.!!Here!are!

some!main!points!to!remember!while!planning!for!

vocabulary!instruction.!

[read!slide]!

!

!

!

!

!

!

!

!

!

!

!


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Slide!80!

!

!

Handout!

16!

Planning!Instruction!of!

Vocabulary!

!

Note:!This!handout!has!3!pages!

Talking!Point:!!

Now,!youll!have!a!chance!to!do!some!planning.!!I!asked!

you!to!bring!some!curriculum!materials!for!this!activity!

and!I!also!have!some!resources!here.!!This!is!the!general!

flow!of

!the

!planning.

!Youll!

!

[Read!bullets]!

!

Lets!look!at!Handout!16.!!This!handout!structures!a!

process!for!developing!your!plan.!

!

!

!

Note:!!Have!people!plan!in!teams!of!math!and!special!education!

teacher!together!where!possible.!

!

For!your!reference!in!gaining!an!image!of!what!a!completed!

planner!might!look!like,!see!the!sample!planner!in!Appendix!6.!

Slide!81!

!

Talking!Point:!!!

Lets!take!some!time!to!share!plans!now.!!Please!join!up!

with!another!pair!and!do!the!following.!

[Read!Slide]!

!


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Slide!83!(cont.)!

!Handout!17!

Feedback!Form!

!Slide!84!

!

Note:!This!slide!provides!information!on!the!funding!

source!and!developer!of!this!workshop.!


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APPENDICES:!ADDITIONAL!FACILITATION!RESOURCES!

APPENDIX!1:!OPTIONAL!WORKSHOP!INTERIM!ACTIVITIES!..............................................................................!76!

APPENDIX!2:!SAMPLE!EMAIL:!WORKSHOP!ANNOUNCEMENT!.........................................................................!78!

APPENDIX!3:!SAMPLE!EMAIL:!WORKSHOP!REMINDER!..................................................................................!79!

APPENDIX!4:!FACILITATION!CHECKLIST!.......................................................................................................!80!

APPENDIX!5:!PACING!GUIDE!....................................................................................................................!82!

APPENDIX!6:!SAMPLE!VOCABULARY!PLANNER!.............................................................................................!84!


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APPENDIX!1: !OPTIONAL!WORKSHOP!INTERIM !ACTIVITIES!

HANDOUTS!A1"A2 !

!

Handout!A1:!Language!in!the!Math!Classroom!Interim!Activity!

Please!choose!one!of!the!four!activities!below!to!complete!in!preparation!for!the!next!

workshop!session!on!______________________________.!!!Please!bring!any!relevant!

supporting!documents!such!as!plans,!reflection/goal!setting!forms!and/or!sample!

student!work!to!the!next!session!to!share!with!your!colleagues.!

!

1. Plan!and!teach!a!lesson!or!part!of!a!lesson!using!a!vocabulary!instructional!strategy!from!the!session!or!from!your!experience.!After!planning/teaching!the!lesson,!

complete!the!Reflection!Questions.!Handout!A2.!!!

2. Choose!a!math!task!of!the!lesson!featured!in!the!video.!How!might!you!make!the!language!of!this!lesson!accessible!to!a!range!of!learners?!!!Consider!what!vocabulary!

instruction!you!would!use!and!how!you!might!assess!student!learning!of!the!

vocabulary!and!the!math!concepts.!!

!

3. Go!back!to!Problems!3a"3e!(Handout!3)!from!the!workshop.!!Choose!one!of!those!problems!and!plan!some!instruction!to!support!students!in!accessing!the!language!of!

the!problem.!!Have!you!maintained!the!integrity!of!the!mathematics?!!Create!a!

follow"up!problem!for!students!to!solve!after!the!instruction!and!completion!of!the!

problem!from!Handout!3.!

!

4. Reflect!upon!the!strategies!that!you!observed!and!discussed!during!todays!workshop!session.!Are!you!inspired!to!try!a!particular!strategy!in!your!own!teaching!

situation?!!Describe!a!plan!to!do!so!and!record!some!notes!on!your!progress!to!bring!

to!the!next!meeting.!

!

!

!

!

!

!

!

!

!


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APPENDIX!3: !SAMPLE!EMAIL:!WORKSHOP !REMINDER!

!

Workshop!Reminder!

!

As!you!know,!our!upcoming!workshop!Improving!Accessibility!in!Middle!Grades!

Mathematics:!Language!in!the!Math!Classroom!!is!only!___(one!week)_____away.!This!will!

be!a!great!opportunity!for!math!and!special!education!teachers!to!work!together!to!

promote!learning!in!the!math!classroom.!We!are!looking!forward!to!this!and!expect!it!to!be!

a!very!productive!session.!!Here!are!some!details!to!help!you!prepare!and!get!the!most!out!

of!the!session.!

!

1. [Date!and!Start!and!End!Time]!2. [Locationinclude!any!pertinent!details!such!as!parking!instructions!or!reminders!such!as!Bring!a!sweater!since!this!room!is!sometimes!cool.]!

3. [Lunch!details!!""when,!how!long,!should!they!bring!their!own!or!will!it!be!provided?]!4. What!to!bring:!!Since!a!segment!of!this!workshop!will!be!devoted!to!planning!for!your!own!classroom,!youll!need!to!bring!some!curriculum!materials!to!the!workshop.!!

Please!bring!a!lesson!or!set!of!lessons!that!you!have!recently!taught!or!will!be!teaching!

in!the!next!few!weeks.!!You!do!not!have!to!have!taught!the!lesson!in!advance!of!the!

workshop.!!You!do!not!need!to!bring!sample!student!work,!however!you!should!bring!

any!teacher!support!materials!related!to!the!lesson,!such!as!a!teacher!guide.!

5. !Any!other!details?!!

I!am!excited!that!we!will!have!the!opportunity!to!explore!the!topic!of!language!and!math!

and!look!forward!to!your!participation.!!Please!be!in!touch!if!you!have!any!questions.!

!

!

!

!

!

!


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APPENDIX!5: !PACING!GUIDE!! !

Start!

Time!

End!

Time!

Workshop!

Segment!

Slides!

Presented!

Video/!!Discussion! Activity/!

Discussion!

Total!

Time(min)!

Materials!

! ! Warm"Up! Slide!1! ! ! 5! Handout!1!

! !

!

Introduction!

Slides!1"7!

!

!

Ground!Rules/!!

Parking!Lot!

2"5!minutes!

!

20!

!

Handout!1!

Parking!Lot!!

! !

Language!Demands!

!

!

Slides!8"16!

!

Watch!Video!and!Discuss!!

10!minutes!!!

!

25!

!

Handout!2!

DVD:!Introduction!

! !

Vocabulary!in!Math!Slides!17"37!

!

!

Handouts!2!&!3!

15!minutes!

Handout!4!

10"12!minutes!

H"5!

10!minutes!

45!

Handout!3!

Handout!4!

Handout!5!

! !

Vocabulary!Strategies,!

Part!I!

!

Slides!38"44!

!

Warm!Up/Handout!6!

10"15

!minutes

!

Main!Investigation!H"7!&8!

20!minutes!

Interview!H"8!

4"5!minutes!

!

!

60!

Handout!6!

Handout!7!Handout!8!

DVD:!Warm!Up!

! !

Vocabulary!Strategies,!

Part!II!

Slides!45"52!

minutes!!

H"9!Practice!

Strategies/Discuss!

15"20!minutes!

30!

!

Handout!9!

End!of!Part!1!

!


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Start!

Time!

End!

Time!

Workshop!

Segment!

Slides!Presented Video/!!Discussion Activity/!Discussion Total!Time!

(min)!

Materials

! !

Embedding!

Vocabulary!

Slide!53"62!

!

H"10!Embedding!

Vocabulary!

8!minutes!

!

String!Shapes!Lesson!

10!minutes!

Carousel!Sharing!

12!minutes!

30! Handout!10!

! !

!

Reviewing!

Vocabulary!

!

!

Slides!63"71!

!

!

I!Have!Who!Has!

10"15!minutes!!

20!

Handout!11!

Handout!12!

!

!

! !

!

Writing!in!

Mathematics!

!

!

Slides!72"77!

!

!

H"13/14!Whats!Missing!

15!minutes!

H"15!Writing!Strategies!

10!minutes!

!

!

30!

Handout!13!

Handout!14!

!!!!!Handout!15!

!

! !

Planning!

Vocabulary!

Instruction!

Slides!78"81!

!

!

H"16!Planning!

25!minutes!

Share!Plans!

10!minutes!

!

40!

Handout!16!

!

! !

!

Wrap"Up

!

Slides!82"84!

!

!

!!!!!Feedback!Form!

8"10

!minutes

!

!

10!

!

Handout!17!

!

End!of!Part!2


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APPENDIX!6: !SAMPLE!VOCABULARY!PLANNER!

Main!Math!Goals!for!Unit!or!Chapter!

! Determine!intervals!and!create!coordinate!plane!grid!! Plot!data!points!in!the!coordinate!plane!! Analyze!data!and!determine!correlation!

Key!Vocabulary!Words!!(Choose!2!to!4!words!from!an!upcoming!lesson!or!unit)!

x"axis!!!!!!!!y"axis!!!!!!!!!ordered!pair!!!!!!!!!correlation!

!

Students!Prior!Experiences!with!the!Vocabulary!

a)!How!much!experience!have!your!students!had!with!these!vocabulary!words?!!!None!!!A!little!!!!Some!!!!A!lot!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! correlation!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!x"axis;!y"axis;!ordered!pair!

!

b)!If!you!have!already!provided!instruction!on!these!vocabulary!words,!what!did!you!do?!!The!students!have!created!vocabulary!4"blocks!for!x"

axis,!y"axis!and!ordered!pair;!they!have!also!had!quite!a!bit!of!experience!plotting!ordered!pairs.!

c)!What!kinds!of!difficulties!did!students!have!with!these!vocabulary!words?!!!If!students!are!given!an!ordered!pair!and!asked!to!plot!it,!most!

understand!what!they!are!supposed!to!do.!!When!they!are!given!a!point!plotted!in!the!coordinate!plane!and!asked!to!describe!it!as!an!ordered!

pair,!some

!dont

!know

!what

!this

!means.

!!Some

!students

!have

!typical

!confusion

!over

!which

!axis

!is

!which.

!!Correlation

!is

!a!new

!concept

!this

!year.

!!It!is!a!new!word!for!nearly!all!students,!too.!Check!if!they!have!worked!with!this!in!science.!

d)!What!phases!of!instruction!would!you!like!to!provide!on!these!vocabulary!words?![You!will!make!plans!in!the!next!section.]!

! Introduce/Explore![First"time!instruction!of!the!term)!!!!correlation!! Refine!and!Practice!(students!have!some!understanding!of!the!word!and!are!working!to!strengthen!that!understanding)!!others!! Review!(students!should!have!a!good!understanding!of!the!word!through!previous!instruction)!


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!

Plan!Instruction.!!

Describe!what!you!will!do!for!the!phase!of!instruction!you!are!planning.!What!will!you!do!in!math!class?!What!are!your!suggestions!for!ways!to!

help!students!with!this!vocabulary!in!other!settings,!such!as!a!mathematics!support!class?!

!

1.!Introduce/Explore!(First!exposure!to!vocabulary!words.)!

2.!Refine!&!Practice!(Students!working!to!build!understanding!and!

practicing!using!terms)!

3.!Review!(Reinforcing!established!vocabulary)!

CORRELATION!Present!examples!and!non"examples!and!

have!students!work!on!building!their!

understanding.!

!

!

!

!

!

!

!

!

!

!

!Refine!examples!to!those!that!represent!

positive!correlation!and!those!that!represent!

negative!correlation!

!

Have!them!create!vocabulary!4"block!of!

positive!correlation!&!negative!correlation!to!

add!to!their!binder!section.!

x"axis;!y"axis;!!!!!!!!!!!

Return!terms!to!word!wall!and!preview.!

Emphasize!these!terms!in!discussing!

correlation.!

!Include!past!state!test!items!on!correlation!in!

mixed!practice!problem!sets!for!continued!

practice!and!review.!

!

Add!these!terms!to!matching!cards!set!for!

review!later.!

!

!

ORDERED!PAIR!

Preview!term!in!math!support!class;!practice!

plotting!and!describing!ordered!pairs!being!

sure!to!use!this!term!in!directions!&!

explanations.!

Strategies!to!Consider!

Visual!Definition!

Example/non"example!

Vocabulary!4"Block!

Word!Wall!

!

Journal!

Matching!Cards!

I!Have;!Who!Has?!

Kinesthetic!Activity!

!

Mnemonic!Strategy:_____________________ !

Writing!Exercise!

Multiple!Exposure!"!!How?!

Direct!Instruction!(How!will!students!practice?)!


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WORKSHOP!HANDOUTS!

HANDOUT!1:!LANGUAGE!IN!THE!MATH!CLASSROOM!.........................................................................................!2!

HANDOUT!2:!FOCUS!QUESTION!FOR!VIDEO!....................................................................................................!4!

HANDOUT!3:!IDENTIFY!AND!CLASSIFY!VOCABULARY!LANGUAGE!IN!THE!MATH!CLASSROOM!.........................................!5!

HANDOUT!4:!VOCABULARY!CHALLENGES!.......................................................................................................!9!

HANDOUT!5:!A!MATH!LESSON,!PAGE!1!......................................................................................................!10!

HANDOUT!6:!FOCUS!QUESTION!FOR!VIDEO!..................................................................................................!14!

HANDOUT!7:!RESEARCH"BASED!STRATEGIES!FOR!...........................................................................................!15!

HANDOUT!8:!REFLECT!ON!THE!VIDEO!.........................................................................................................!16!

HANDOUT!9:!PRACTICE!STRATEGIES!...........................................................................................................!17!

HANDOUT!10:!FOCUS!QUESTIONS!FOR!VIDEO!...............................................................................................!19!

HANDOUT!11:!MATCHING!CARDS!EXAMPLE!.................................................................................................!20!

HANDOUT!12:!I!HAVE,!WHO!HAS?!ACTIVITY!CARD!MASTER!............................................................................!21!

HANDOUT!13:!EXAMINE!A!MATH!TASK!.......................................................................................................!23!

HANDOUT!14:!!WHATS!MISSING?!............................................................................................................!24!

HANDOUT!15:!STRATEGIES!FOR!WRITING!IN!MATH!........................................................................................!25!

HANDOUT!16:!PLANNING!INSTRUCTION!OF!VOCABULARY,!PAGE!1!.....................................................................!28!

HANDOUT!17:!FEEDBACK!FORM!...............................................................................................................!31!

!!


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Handout!1:!Language!in!the!Math!Classroom,!Page!1!

!

1. Solv

Documents

Language in Math Facilitator Guide