HexagonalBook-DesignDemonstration:ConnectingMath,

Book-Arts,andSocialJusticeThe

InternationalInterdependence

PAEA2017,Pittsburgh,PABethBurkhauser,KeystoneCollege

MelissaCruise,ScrantonSchoolDistrictFriday,October20,9:00- 9:50AMElwoodII

TheMathBehindtheHexagon

HowtoConstructaHexagon

But…therearemanywaystoconstructa

Hexagon....

Question:Canyouconstructahexagonwithan

equilateraltriangle?How?

Ingeometry,anequilateraltriangle isatriangle inwhichallthreesidesareequal.InthefamiliarEuclideangeometry,equilateraltriangles arealsoequiangular;thatis,allthreeinternalanglesarealsocongruenttoeachotherandareeach60°.

YES!Byslides,flipsand/orturns

CommonCoreGradelevels:1,2,3and4

180

120

60

00

320

240

ConnecttheDots!

CreatingaHexagoninsideaSquareusingaProtractorandAngles

Placepointatevery60degrees

EnlarginganexistingHexagonofANYsize…toANYsize...Draw3intersectinglines,

Extendall6anglesbyanequallength,thenconnectthedots!

FoldinginHalf,CreasingandMeasuringtheMid-pointsofofOppositeQuadrants’Sides,then,Connectingthe6ReferencePoints– willgiveyouaHexagon- butitwillNOTberegular

InsideanySquare

Cutoffhere

Paper-folding and Cutting:Here is an easy way to make a hexagonal piece of paper:1. Fold a square in half, so it is a triangle, and then Fold the two tips up across each other at about about a thirty degree angle as shown below. 2. Think of it as a triangle giving itself a hug. 3. Nowyouhavesixlayersofpaperallfoldedtogetherandallyouneedtodoistrimthe

topoffinastraightlineandunfold

HEXAGONORIGAMI

WhatIStheHexagonProject?

TheHexagonProjectUsestheHexagonas

MetaphorforInterconnectedness

andInterdependence

IF You Believe… Itiscriticalforyoungpeopletoconfront,questionandreconsiderattitudesandbeliefsas

partoftheirresponsibilitiesascitizens,aspartoftheirownpersonalgrowthandformationof

self…

MemorialHS,Arkansas RiversideJr.HS,PA

IF You Believe… thatyoungpeoplethroughouttheworldshouldhaveopportunitiestoexplorereal-worldthemes,issuesandideaswithinschoolsandcommunities…

Tracey’sHope-Taylor,PA GreeningofVerrettes,Haiti

Equal PayFairTrade

IF You Believe… throughcreativethinking,researchandtakingastandonone'sbeliefsandunderstandings,

changesofattitudesandactioncanoccur…

Adelaide,Australia

HumanRightsNEPAL

IF You Believe… theartsarepowerfulvehiclesforthisexploration…

“Interdependence”“Wemaybuildourownuniquelifestyles,careers,orbusinesses,butthose‘towers’ofsuccesscomefromcooperationandinterdependencewithothersinoursocialandprofessionallives. “

Elsik HighSchoolAlief,TexasCollaborativeClaySculpture:

Then…. youarereadyandinvitedtojoinStandards-basedSocialJusticeConceptsandThemeswithTheInterdependenceHEXAGONPROJECTandgetHooked on Hexagons

Interdependence Themes (HexagonProject)

DIVERSITYFreedomforandacceptanceofreligious,ethnic,backgrounds,culturalidentities,abilities.Personalandgroupdignity

HUMAN RIGHTS ofeverypersonWeareonehumanfamily.Examine

consumerismvs.havingenoughBeingmorevs.havingmore

Interdependence Goals:1.Toseeourselvesascitizensofonecivilizedworld,recognizingrightsandresponsibilitiestothecommongoodsandlibertiesofhumankindasawhole.2.Toexplorethesethemesthrough“activist”art-making

ENVIRONMENTWeneedasafe,sustainableglobalenvironmentWeareonecommunityWeonlyhaveoneearthtoprotectordestroy

GOVERNANCEWeneedtounderstandpeoples’rightstogovernthemselvesinamannerthatallowsthemtoflourish.Democraticrightsandresponsibilities.

COMMONALITIES& IDENTITY

Having Empathy-Wearesimilarand

sharecommonexperiences.Wecan

connecttoissuesthatare

personalandlocalwithissuesthatareglobal.

CHILDRENWeneedtoprotect

children’srightsandgoodsandinsuretheyobtain

Safety,HealthandEducation

TECHNOLOGYUsepositivelyandethicallytocreateinformedglobalcommunities

DeadlineforSchoolsisJune30

2018Theme:TransformingConflict

TheThemeThe2018themeof“TransformingConflicts”isacalltopromoteglobalcitizenship,enablinglearnersto• Developanunderstandingofandmakeconnectionsamong

local,nationalandglobalissues• Developskillsforcivicliteracysuchascriticalthinking,

problemsolving,peacebuildingandpersonalandsocialresponsibility(UNESCO,2015).

2017marked11yearsthattheHexagonProjecthasbeenbuilding SocialJusticeArtEducationopportunities

forteachers,youngpeopleandcommunitiesworldwidethroughtheuseofasmall-yetchallenging- downloadabletessellatingtemplate,metaphorforInterdependence.

InourSeptember2017InternationalHexagonProjectExhibition,weaddedanother600hexagons,making8600since2006.

ConnectingwithCOMMUNITIES

LackawannaRiverfest

ArtsontheSquare

HistoricIronFurnaces:FireandIron

WorldRefugeeDay

GlobalCitizenryCollectiveResponsibility

“…thenotionofbeingaglobalcitizenisincorporatedintoevery

disciplineweteach.

Thehexagons…helpedstudentstoforgecognitivelinksbetweenthesubjectsofthehexagonsandthemajorissuesin

theirownlivesandthelivesofotherstudentsaroundtheworld. Eachsharesthecommonvaluesofhealth,education

andhumanrights.

Thisexercisereinforcedthenotionofcollectiveresponsibilityandexposedstudentstothecommonexperiencesof

humankindasawhole.”GeneTeeger,ArtTeacher

andinclassrooms….Canada

ThroughouttheUnitedStates:California,Nevada,Washington,Illinois,Wisconsin,Indiana,Florida,NorthCarolina,NewYork,NewJersey,Delaware,Maryland,Pennsylvania,Minnesotaandothers

Pre-servicestudentsinHaiti

Kathmandu,NAPAL

Japan Philippines

AlsoEgypt,England,Greece,threeAfricancountriesandAustralia

Clockwisefromleft:Exteriorof2016Exhibit,Interior,showingScrantonSchoolDistrict,bottom,andAustralian,top;Panaorama ofinstallation,front;Grades9– 12wall.

CulminatingExhibitioninSeptember

HexagonProjectinYour

CommunityorSchool?

AbingtonHeightsHighSchool,PA2016

SetonHillUniversity,Greensburg,PA 2016

Chicago,IL2013and14

Scranton,PA2006- 2017

HexagonalSandMandala

ArtTeacherwithStudentFamilywithParticipant

CubScoutwithGrandparents

IndianVisitorwithSandMandala

Hands-onOpeningEvent2016

RecognitionEvents

DeadlineforSchoolsisJune30

HexagonalThinkingandPlanning

STEAMPLANNINGSHEETS

VIS-IT™ Technique for

Creative Thinking ATTRIBUTE ATTACHEMENT TECHNIQUE

The Attribute Attachment technique for creative thinking in groups, like other creative thinking techniques, generates new ideas by asking the minds of the participants to integrate two or more already existing, but previously unconnected, concepts or ideas. An “attribute” is defined as a quality or characteristic of a person or thing. The Attribute Attachment technique forces the mind to create new ideas by trying to “attach” the attributes of one thing to something else, which is significantly different. In an example of the technique below, human sensory attributes are attached to an otherwise inanimate object, an armchair. Why would anyone want to do such a silly thing? The reason is that, by using this technique, new product designers might come up with several good ideas for new benefits and features for a current product.

New Idea A1

That SEES

An Armchair

That THINKS

That HEARS

That TOUCHES

That TASTES

That SMELLS

New Idea B1

New Idea C1

New Idea D1

New Idea E1

New Idea F1

Sets of six or more attribute attachment ideas can come from many sources. Human sensory and intellectual capabilities are just one source. Other human attributes like emotional feelings, mobility, self-awareness, and memory are just some of them. Stimulative attribute attachment ideas can also be developed from a class of objects. For example, the “class” might be “Modes of Transport”, and the elements might include racecars, bikes, airliners, limousines, and others.

Attribute Attachment, Page 1 Copyright 2003-2014 Thinkingtools.Net. All rights reserved.

Phone or Fax: 1-888-439-7237 www.thinkingtools.net

HexagonalBookDesigning

Accordion-foldedLinearBookandFree-formLinearBook

Accordion-foldedFree-formBookwith“CongruentClusters”

Accordion-folded Radial Book-Variation on Congruent Clusters

Scoringyourhexagonfolds

CoveringyourCover….Makecovercardboardslightlylargerthanyourbook.

ENDPAPERS:Then,eitherusethefirstandlastpagesofyourbookasendpapersandglueORuseseparatehexagonendpaperandadda“tab”toconnecttoyourbackandfrontbookpages

ExpandYourWorld-HexagonBoxProject

WhatistheHexagonProject?byChristinaMartin

Checkoutthiswebsite-http://www.hexagonproject.org

Respondcreativelytothemanythemesofglobalinterdependence-real-worldissues-and

becomeapartofaninternationalmovementtocreateamorecivil,peace-mindedandjust

world.Thisprojectisameaningfulvehicleforallowingyoungpeopletothinkandrespond

aboutissuesofpersonalandglobalimportance.

Lesson-CreateanExplodingHexagonBoxusingPhotoshopandasimplethreelayergrid

template.ThethemeforthisassignmentistheHexagonProjectasdescribedabove.Youare

todesignaboxincorporatingthreedistinctlayers,eachwithadifferenttheme.

Layer1-Allaboutme!Youcanincludeimagesofyou,yourfriends,yourhobbies,family,etc.

Layer2-Issuesyouareconcernedabout,worldwideorlocal.

Layer3-WhatcanIdotomakeachange-Imagesthatrepresentwhatyoucandotomakea

changeforthebetter.

Collectphotosorimagesfromhomethatyouwouldliketoincorporateinthisprojectand

bringtheminaftertheEasterbreak.

Find“ExpandYourWorld”onwww.hexagonproject.org andotherboxideasonBethBurkhauser’s PinterestSite:“3-DHexagonalSculptures”

BoxLid BoxLayerOne

HexagonArt-STEAMBrainstormingwitha

Partner:5minutes

STEAMPLANNINGSHEETS

HexagonArt-STEAMSHARING

5minutes…AND

LowElemUpperElem MiddleHighSchoolPre-ServiceCommunity,HEd

LowerElemLt.blue

HighSchoolOrange

HexagonIdeas

5-minuteSharingofIdeas

Thankyou!