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PUBLICATION  OPPORTUNITIES.  :RXOGZHEHLQWHUHVWHGLQ\RXUZRUN"³<HV´

if  the  words  rural  and  mathematics  appear  often  in  your  manuscript.  We  welcome   distinctive  and  non-­trendy  scholarship.  Empirical  work  (quantitative  or  qualitative)  is  a   priority,  but  we  will  consider  theoretical  pieces,  historical  research  or  biography,  and   very  well-­argued  commentary  as  well.  Contact  Craig  Howley  or  Sandi  Mills  with  an   idea  for  an  article.  

Table of Contents

 

Sandi  R.  Mills,  Wingate  University,  Editor  2010-­2011  

Volume 10, Number 2 July 2011

Rural Math Educator

1.  Craig  Howley  

The  Seven-­Site  Study:    The  Second  of  Two  Questions  and    

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2.    Sandi  Mills  

  Review  of  Culturally  Responsive  Mathematics    

  Education««««««««««««««««««««S

   

3.  Craig  Howley    

         5HVHDUFK,QLWLDWLYH8SGDWH«««««««««««S  

   

4.  Updates    

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       8SFRPLQJFRQIHUHQFHV««««««««««S  

           

DISCLAIMER.  The  Rural  Mathematics   Educator  is  produced  at  Ohio  

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published  electronically.  The  expressions   contained  in  this  publication  are  those  of   the  authors;;  these  expressions  do  not   necessarily  represent  the  positions  or   opinions  of  Ohio  University,  the  College   of  Education,  or  anyone  else.  Postal   Address:  207  McCracken  Hall,  Ohio   University,  Athens,  OH  45701-­2979.  

ACCLAIM  is  funded  by  the  National  Science  Foundation  as  a  Center  for  Learning  and  Teaching.       The  Center  is  a  partnership  of  the  Kentucky  Science  and  Technology  Corporation  (Lexington),     Ohio  University  (Athens),  the  University  of  Kentucky  (Lexington),  the  University  of  Louisville   (Louisville),  the  University  of  Tennessee  (Knoxville),  and  West  Virginia  University  

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The  Seven-­Site  Study:    The  Second  of  Two  Questions  and  Tentative  Answers  

 

This  article  is  the  second  of  two  devoted  to  encapsulating  the  findings  of  the  ACCLAIM  Seven  

Site  Study,  concluded  last  year.    ACCLAIM  researchers  visited  seven  sites  across  the  nation  

where  educators  were  making  connections  between  school  mathematics  and  local  communities  

and  places.  

Recapitulation  

In  a  previous  issue  (November  2010),  we  answered  the  first  of  two  research  questions:    

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Briefly,  they  did  so  with  varied  scale  and  scope,  varied  purposes,  and  various  conceptions  of  

relevance.  In  some  sites,  isolated  teachers  were  at  work,  but  in  others  the  efforts  were  district  

wide,  and  in  some  initial  teacher-­led  efforts  seemed  poised  to  exert  a  wider  influence  in  some  

fashion.    As  for  purpose,  the  struggle  to  connect  math  and  community  usually  involved  a  strug-­

gle  to  find  time  in  the  context  of  the  trite  national-­GHIHQVHSXUSRVHRI³SUHSDULQJDJOREDOO\FRP

SHWLWLYHZRUNIRUFH´7KDWWULWHSXUSRVH²widely  promoted  if  not  universally  well  received²

probably  diminished  the  attention  available  for  community-­relevant  efforts  even  in  these  rare  

sites.  The  issue  of  relevance  was  more  conflicted  still,  especially  at  the  secondary  level,  where  

local  application  (even  at  these  sites)  more  often  than  not  was  considered  irrelevant.  We  were  

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math  instruction,  but  also  the  deep  structure  of  schooling  itself,  probably  reinforce  such  a  stance.  

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Second  Question  

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dances  and  constraints  in  play.  Chief  among  the  affordances  are  alert  and  passionate  teachers  

who  think  for  themselves.  They  are  apparently  open  to  a  range  of  productive  provocations  that  

goad  them  to  action.  They  see  opportunities  and  project  such  opportunities,  bringing  their  stu-­

dents,  and  sometimes  their  schools  and  districts,  into  action.  

Challenges  are  legion  and  durable,  by  contrast:  the  likelihood  that  colleagues  will  em-­

brace  the  mission  is  dubious;;  accountability  frenzy  was  common;;  changeable  professional  norms  

dictated  one-­EHVW³EHVWSUDFWLFH´RUHYHQPLVHGXFDWLYHSXUSRVHVHJJOREDO$PHULFDQKHJHP

ony);;  the  organizational  culture  of  the  school  or  district  might  not  be  propitious  for  community  

engagement,  and  so  forth.  In  these  rare  sites,  of  course,  the  affordances  found  a  variety  of  ways  

past  the  common  challenges.    During  the  nomination  process,  however,  we  learned  of  many  

other  sites  where  the  nominated  projects  had  in  fact  ended²often  when  a  teacher  took  a  position  

elsewhere.  The  rarity  of  these  sites  must  be  stressed.  

Enumerating  such  challenges  precisely  across  the  sites  is  a  project  engaged  by  our  formal  

cross-­case  analysis  (now  in  press  at  a  peer-­reviewed  journal),  but  in  the  ACCLAIM  monograph  

we  identified  three  overarching  conditions  that  seemed  to  govern  the  emergence  of  such  activity:    

(1)  the  imperative  to  develop  community-­focused  math  education,  (2)  approaches  to  developing  

place-­EDVHGPDWKHGXFDWLRQDQGGLIILFXOWLQVLJKWVIURP³PLGGOH-­FODVVWKHRU\´  

The  imperative  to  develop  community-­focused  math  education.  Briefly,  we  found  that  

at  the  elementary  and  middle-­school  level  community  engagement  was  far  more  likely  than  at  

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OXWKHULHFODVVDW/DID\HWWHLVDFRQVLVWHQWQHJDWLYHIRU³XSSHUPDWK´:K\"Upper  math  is  allo-­

cated,  via  the  typical  mechanisms  of  American  schooling,  to  deserving  students  who  have  proven  

their  capacity  for  contemplating  (Platonic)  mathematical  objects  with  patience  and  forthrightness  

if  not  always  curiosity  or  passion.  These  fortunate  students  can  prepare  for,  and  then  enter,  

STEM-­related  careers.  Almost  as  a  matter  of  principled  local  educational  practice,  then,  the  local  

community  becomes  irrelevant  to  the  probable  destinies  of  such  high-­flying  students  and  the  as-­

pirations  that  their  usually  influential  parents  cherish  for  them  (Carr  &  Kefalas,  2009).    

Hence,  engagement  with  place-­based  approaches  tends  to  be  limited  to  K-­8  settings  or  to  

vocational,  technical,  and  agriculture  programs²precisely,  one  might  argue,  because  these  set-­

tings  and  programs  do  not  cater  to  the  cadres  of  high-­flyers  and  their  families  (Carr  &  Kefalas,  

2009).  In  this  sense,  the  Lafayette  lutherie  class,  as  the  study  shows,  was  a  unique  bridge  be-­

WZHHQWKHZRUOGVRI³KLJKIO\HUV´DQGRIYR-­ag  students²it  was,  after  all,  a  collaboration  of  a   high  school  math  teacher  and  a  vo-­ag  teacher.    Students  were  in  fact  enthusiastic  about  being  part  

of  such  an  overlap.  

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to  people  and  organizations  in  the  community  hardly  exists,  not  as  an  oversight,  but  cleaving  ar-­

dently  to  the  prevailing  purposes  of  schooling²sorting  students,  conveying  privilege  across  the  

generations,  and  ensuring  widespread  powerlessness  among  the  losers  (e.g.,  Anyon,  2005;;  

Bowles  &  Gintis,  1976;;  Brown,  1991;;  Duncan,  1999;;  Spring,  1988).  

One  might  speculate,  then,  that  the  institution  of  secondary  schooling  operates  so  as  to  

widen  distance  between  the  curriculum  of  school  math  and  the  applications,  including  especially  

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teachers  already  thinking  otherwise.  

Developing  place-­based  math  education.  The  truly  daunting  challenges  of  practicing  

community-­based  mathematics  instruction  per  se  explain  the  rareness  of  this  effort.    Our  sites  

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Why?  An  appreciation  of  the  purpose  of  rural  place-­based  efforts  in  general  can  help  

UHDGHUVXQGHUVWDQGWKHFKDOOHQJHVPXFKEHWWHU:KDW¶VWKDWSXUSRVH"3ODFH-­based  education  con-­

cerns  the  sustainability  of  rural  places²rural  communities,  whether  towns  or  informally  existing  

country  enclaves.  Surely  the  preservation  of  rural  community  itself,  both  as  a  practice  and  as  an  

ideal  toward  which  neighbors  strive  is  an  aim  worthy  of  struggle  (Theobald,  1995)?  Not  every-­

one  thinks  so,  but  for  this  reason,  place-­based  mathematics  is  by  no  means  a  quaint  or  backward  

cousin  to  project-­based  learning  or  culturally  responsive  pedagogy.  It  harbors  its  own  challeng-­

ing  educational  agenda  (i.e.,  sustaining  rural  community)  as  needful  as  those  of  its  pedagogical  

cousins.  A  range  of  studies  has,  moreover,  shown  that  the  continuing  existence  of  a  school  helps  

sustain  a  rural  community  (DeYoung,  1995;;  Howley  &  Howley,  2006;;  Lyson,  2002;;  Peshkin,  

1982).    Place-­based  education  takes  this  finding  seriously  and  asks  that  rural  schools  embrace  

their  role  actively:  including  mathematics  instruction.  

The  stories  we  heard  at  the  seven  sites  included  four  where  sustaining  the  rural  commu-­

nity  was  foremost  in  the  minds  of  formal  and  informal  leaders:  Eastcove,  Confluence  Collabora-­

tive,  Lafayette,  and  Magnolia.  But  had  we  dug  deeper  (going  outside  the  research  mission  of  the  

study),  we  would  probably  have  found  such  claims  and  concerns  at  every  site.  Remarkably  the  

concern  surfaced  in  the  four  sites  just  mentioned  without  prompting  by  ACCLAIM  researchers  

(as  the  transcripts  show).    

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where  one  challenge  lies²simply  seeing  the  local  math  and  the  possibilities  for  mathematizing   the  local  everyday.  Addressing  that  challenge  well  seems  a  logical  first  step  on  the  way  to  devel-­

oping  a  real  praxis  of  rural  (place-­based)  mathematics  education,  at  all  levels  of  schooling,  but  

especially  at  the  secondary  level.  

Middle-­class  theory.  Although  the  selected  communities  certainly  exhibited  some  vari-­

ability,  it  seems  that  all  of  them  enjoyed  substantial  or  considerable  local  resources.  Figure  2  in  

the  full-­length  monograph  provides  income  distributions  for  the  seven  sites.  Except  for  the  Ala-­

bama  site,  all  the  districts  exhibited  middle-­income  bands  (2000  household  income  from  $25,000  

to  $74,999)  varying  from  32%  to  43%  of  households.  Indeed,  in  four  of  these  seven  sites,  the  

middle-­income  band  was  the  modal  band.  Such  a  shared  circumstance  might  be  merely  fortui-­

WRXVEXWLW¶VZRUWKREVHUYLQJWKDWVRFLRORJLVW&\QWKLD'XQFDQKROGVWKDWDSUHYD

lent  middle  class  helps  sustain  rural  schools  and  communities  politically,  economically,  and  cul-­

turally.  We  both  appreciate  this  theory  and  find  it  doubtful.    

  Doubts  stem  from  the  distinction  between  the  fading  petty-­ERXUJHRLV³PLGGOHFODVV´RI

small-­town  shopkeepers  and  independent  professionals  and  the  now  more  common  corporate-­

SURIHVVLRQDO³PLGGOHFODVV´$V)ORUD)ORUD6SHDUVDQG6ZDQVRQKDYHVXJJHVWHGWKH LQWHUHVWVDQGFRPPLWPHQWVRIWKHVHWZRVRUWVRI³PLGGOHFODVVHV´DUHYHU\YHU\GLIIHUHQW7KH

former  have  local  commitments;;  the  latter  do  not.  Whether  or  not  a  corporate-­professional  mid-­

dle  class  is  unhelpful  with  respect  to  place-­based  education  must  await  other  studies,  but  the  

negative  influence  of  corporate  orientation  is  actually  well  known  from  a  half-­century  of  study  in  

agriculture  (e.g.,  Goldschmidt,  1947;;  Green,  1985;;  Lyson,  Torres,  &  Welsh,  2001).  

  Whatever  the  relevant  features  of  rural  class  structure,  however,  substantial  middle-­

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ZHREVHUYHG$JDLQ³PLGGOH-­LQFRPH´RQWKHVHWHUPV-­75  thousand  dollars)  represents  a   modest  family  income  on  national  terms.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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References  

Anyon,  J.  (2005).  Radical  possibilities:  Public  policy,  urban  education,  and  a  new  social  move-­

ment.  New  York:  Routledge.      

Bowles,  S.,  &  Gintis,  H.  (1976).  Schooling  in  capitalist  America:  Educational  reform  and  the  

contradictions  of  economic  life.  New  York:  Basic  Books.      

Brown,  R.  (1991).  Schools  of  Thought:  How  the  Politics  of  Literacy  Shape  Thinking  in  the  Class-­

room.  San  Francisco:  Jossey-­Bass.  

Carr,  P.,  &  Kefalas,  M.  (2009).  Hollowing  out  the  middle:  The  rural  brain  drain  and  

 what  it  means  for  America.  Boston:  Beacon  Press.  DeYoung,  1995  

Duncan,  C.  (1996).  Understanding  persistent  poverty:  Social  class  context  in  rural  communities.  

Rural  Sociology,  61(1),  103-­124.      

Duncan,  C.  (1999).  Worlds  apart:  Why  poverty  persists  in  rural  America.  New  Haven,  CT:  Yale  

University  Press.      

Flora,  C.,  Flora,  J.,  Spears,  J.,  &  Swanson,  L.  (1992).  Rural  communities:  Legacy  and  change.  

Boulder,  CO:  Westview  Press.  

Goldschmidt,  W.  (1947).  As  you  sow:  Three  studies  in  the  social  consequences  of  agribusiness  

(Vol.  1).  Montclair,  NJ:  Allanheld,  Osmun  and  Co.  (Original  work  published  1947).      

Green,  G.  (1985).  Large-­scale  farming  and  the  quality  of  life  in  rural  communities:  Further  speci-­

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Howley,  A.,  &  Howley,  C.  (2006).  Small  schools  and  the  pressure  to  consolidate.  Education  Pol-­

icy  Analysis  Archives,  14(10),  Retrieved  February  12,  2007,  from  http://epaa.asu.edu/

epaa/v14n10/  

Lyson,  T.,  Torres,  R.,  &  Welsh,  R.  (2001).  Scale  of  Agricultural  Production,  Civic  Engagement,  

and  Community  Welfare.  Social  Forces,  80(1),  311-­327.  

Lyson,  T.  (2002).  What  does  a  school  mean  to  a  community?  Assessing  the  social  and  economic  

benefits  of  schools  to  rural  villages  in  New  York.  Journal  of  Research  in  Rural  Educa-­

tion,  17(3),  131-­137.    

Peshkin,  A.  (1982).  The  imperfect  union.  Chicago:  University  of  Chicago  Press.  

Spring,  J.  (1988).  The  sorting  machine:  National  educational  policy  since  1945.  White  Plains,  

NY:  Longman.    

Theobald,  P.  (1997).  Teaching  the  commons:  Place,  pride,  and  the  renewal  of  community.  Boul-­

der,  CO:  Westview.  

 

 

 

 

 

 

 

 

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Greer,  Brian,  Mukhopadhyay,  Swapna,  Powell,  Arthur  B.,  &  Nelson-­Barber,  Sharon,  Eds.  

(2009).  Culturally  Responsive  Mathematics  Education.  New  York,  New  York:  Routledge.  ISBN  

13:978-­08058-­6264-­5,  400  pp.  

Reviewed  by  Sandi  Mills,  Wingate  University,  Wingate,  NC  28174  

Introduction  

In  an  effort  to  enhance  global  competitiveness  and  economic  superiority,  authorities  have  

devalued  diversity,  particularly  in  school  settings.  Increasingly,  in  fact,  student  academic  

achievement  is  gauged  only  by  performance  on  various  standardized  tests.  Not  only  do  these  

tests  ignore  the  background,  culture,  and  resources  of  minorities  and  rural  dwellers,  but  they  also  

place  an  enormous  level  of  stress  on  teachers  and  administrators  as  they  strive  for  job  security.  

All  of  this  comes  at  a  time  of  rampant  demographic  changes  in  classrooms  across  the  country.    

%HFDXVHLWLVIUHTXHQWO\FDOOHGD³JDWHNHHSHU´GLVFLSOLQHJRYHUQPHQWVFRQWLQXDOO\VFUXWL

nize  mathematics  achievement.  To  further  complicate  matters,  most  people  consider  mathematics  

to  be  politically  neutral.  After  all,  mathematics  problems  have  unique,  right  answers²or  do  

they?    

Culturally  Responsive  Mathematics  Education  seeks  to  establish  mathematics  as  a  human  

activity,  constructed  by  those  who  practice  it  and  subject  to  the  uncertainties  of  any  human  en-­

GHDYRU$VWKHDXWKRUVQRWH³0DWKHPDWLFVLVFRPSULVHGRIDGLYHUVLW\RISUDFWLFHVWKDWPDNHLWDV KLVWRULFDOO\FXOWXUDOO\VRFLDOO\DQGSROLWLFDOO\VLWXDWHGDVDQ\RWKHUKXPDQDFWLYLW\´S  

Reputations  of  Authors  

This  book  includes  essays  written  by  different  authors,  each  of  whom  is  a  respected  

leader  in  mathematics  education  and/or  cultural  diversity.  For  example,  Paul  Ernest,  author  of  the  

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Professor  of  Mathematics  Education  at  Exeter  University,  UK.  He  is  internationally  known  for  

his  research  at  the  intersection  of  mathematics,  education,  and  philosophy,  having  written  over  

200  papers,  chapters  and  books  (Ernest,  2011.).    Also  contributing  to  this  manuscript  is  Eric  Gut-­

stein,  a  mathematics  educator  committed  to  social  justice  via  mathematics  education.  Gutstein  

strongly  believes  that  students  should  use  education  to  challenge  oppression  in  whatever  form  it  

presents  itself.  As  an  editor  of  Rethinking  Mathematics:  Teaching  Social  Justice  by  the  Numbers,  

Gutstein  demonstrates  the  importance  of  appropriate  teacher  training  to  incorporate  social  justice  

principles  in  the  mathematics  curriculum  (UIC  Faculty  Profile,  2011).  Julia  M.  Aguirre  is  an-­

other  influential  educator  featured  in  this  book.  Her  TEACH  MATH  (Teachers  Empowered  to  

Advance  CHange  in  Mathematics)  project  is  committed  to  preparing  teachers  for  increasingly  

diverse  student  populations  by  helping  them  recognize  the  assets  of  cultural  and  linguistic  diver-­

sity  (UW  Beyond  the  Bricks,  2011).  With  regard  to  college  teaching,  Shandy  Hauk  is  one  of  the  

authors  of  the  final  essay.  In  addition  to  her  research  and  publications  on  culturally  responsive  

teaching,  Hauk  models  her  findings  in  her  own  classes  of  prospective  mathematics  teachers  

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uting  to  this  book  in  his  foreword.  Not  only  does  he  tout  their  success  in  approaching  mathemat-­

ics  education  from  a  broad  perspective,  but  he  also  recognizes  their  focus  on  principles  that  har-­

bor  equity  and  liberation.  

Summary  

This  book  is  divided  into  two  main  sections,  one  of  which  seeks  to  enlighten  readers  on  

the  foundations  for  culturally  responsive  mathematics  education  and  the  second,  which  deals  

more  directly  with  the  teaching  and  learning  of  mathematics.  To  confirm  that  math  is  indeed  a  

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and  cultural  foundations.  According  to  Swetz,  Mukhopadhyay,  Powell,  and  Frankenstein,  for  in-­

stance,  the  history  of  mathematics  is  often  presented  with  a  Eurocentric  viewpoint.  Western  

scholars,  most  often  responsible  for  the  writing  of  such  history,  frequently  overlook  significant  

contributors  from  other  cultures;;  indeed,  the  culpable  authors  usually  give  European  mathemati-­

cians  credit  for  discoveries  made  in  Asia  or  Africa.  For  example,  the  Pythagorean  Theorem  is  

named  for  the  Greek  philosopher  Pythagoras,  but  was  certainly  known  to  be  used  by  the  Babylo-­

QLDQVDVHDUO\DV%&(,QIDFWWUDGLWLRQDOKLVWRULHVVXFKDV.OLQH¶VFODLPWKDWWKHUH

was  a  1000-­year  dormancy  of  mathematics  with  the  weakening  of  the  Greek  civilization.  How-­

ever,  during  these  100  years,  mathematicians  accomplished  much  in  China,  India,  and  Persia.  

With  the  increasing  diversity  in  North  American  schools,  educators  need  to  do  much  better.  

Mathematics  belongs  to  everyone²and  students  need  to  hear  that  math  is  not  the  province  of  

RQH³UDFH´RUFXOWXUH,WEHORQJVWRWKHPWRR  

Such  perspectives  are  ethnomathematical,  and  several  authors  in  this  book  embrace  eth-­

nomathematics,  including  Mukhopadhyay  and  colleagues  and  the  team  of  Barta  and  Brenner.  

Instead  of  limiting  their  studies  to  academic  mathematics  only,  these  authors  examine  a  diversity  

RIPDWKHPDWLFDOSUDFWLFHVPRVWRIZKLFKFRQQHFWWRVWXGHQWV¶OLYHV,QFOXGHGLQWKLVSHUVSHFWLYH

are  implications  for  teacher  preparation  and  development.  According  to  Moschkovich  and  Nel-­

son-­Barber,  contemporary  bilingual  and  multilingual  classrooms  require  an  understanding  of  the  

ways  in  which  various  dialects  and  national  languages  express  mathematical  knowledge.    

The  second  part  of  the  book  focuses  on  the  application  of  these  theories  to  specific  cul-­

tures,  school  settings,  and  teacher  preparation.  Cultures  represented  include  African  American,  

Latino/a,  and  Native  American.  Authors  affirm  the  positive  offerings  of  these  cultures  while  de-­

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and  McGee,  all  of  the  authors  seem  to  convey  the  same  hope²that  children  receive  mathematics  

HGXFDWLRQ³WKDWUHVRQDWHVZLWKWKHLUFXOWXUDODQGUDFLDOLGHQWLWLHVDQGWKDWLVQRWEDVHGRQZKDWLV EHVWIRURWKHUFKLOGUHQ´S(PEHGGHGLQWKLVEHOLHILVWKHQHFHVVLW\RIDSSURSULDWHWHDFKHU

training  considered  at  length  by  Geneva  Gay  (2000)  in  her  Culturally  Responsive  Teaching.  As  

Gay  states,    

Inability  to  make  distinctions  among  ethnicity,  culture,  and  individuality  increases  the  

risk  that  teachers  will  impose  their  notions  on  ethnically  different  students,  insult  their  

cultural  heritage  or  ignore  them  entirely  in  the  instructional  process.  In  reality,  ethnicity  

DQGFXOWXUHDUHVLJQLILFDQWILOWHUVWKURXJKZKLFKRQH¶VLQGLYLGXDOLW\LVPDGHPDQLIHVWS

23).  

Not  only  does  teacher  training  implicate  new  knowledge  and  skills  about  themselves,  their  stu-­

dents,  and  their  subject  matter,  it  also  demands  a  knowledge  and  respect  for  the  intellectual  his-­

tory  and  cultures  about  which,  as  math  teachers,  they  likely  know  little  to  nothing.  Some  of  these  

contributions  are  detailed  by  authors  of  this  book  and  include  navigation  and  parka  patterns  of  

WKH<XS¶LNHOGHUVIRXU-­fold  symmetry  and  the  related  Cartesian  coordinate  system  of  Native   Americans,  and  the  invention  of  algebra  by  African  Arabs.    

Critique  

  No  longer  can  our  society  ignore  the  need  for  culturally  responsive  mathematics  educa-­

tion.  According  to  Greer  and  colleagues,  projections  indicate  that  the  white  population  will  be  in  

the  minority  by  2042,  while  the  proportion  of  white  teachers  in  US  schools  persists  at  83%.  As  

the  demographics  in  our  classrooms  change,  teachers  and  teaching  must  change  too.    

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While  I  agree  that  mathematics  is  oftentimes  portrayed  as  a  neutral  discipline,  I  had  not  

considered  the  absolutist  philosophy  of  academic  mathematics  as  it  is  compared  to  the  fallibilist  

philosophy.  The  route  to  this  understanding,  in  this  book  is  through  ethnomathematics.  Certainly,  

because  mathematics  is  constructed  by  humans,  it  is  politically  and  culturally  positioned,  and  is  

subject  to  constant  revision²though  this  is  hardly  the  impression  that  students  get  in  school.  As  

Ernest  says,    

Overall,  the  reconceptualization  of  mathematical  knowledge  as  a  cultural  and  social  con-­

struction  demystifies  the  concepts,  results,  proofs,  methods,  and  theories  of  mathematics  

and  sees  them  not  as  something  extrahuman  imposed  upon  humanity,  but  as  something  

created  and  shaped  by  human  concerns,  interests,  powers  of  reasoning,  and    historical  and  

social  practices  (p.  56).    

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continues  to  be  created  by  all  cultures  in  all  parts  of  the  world.    

Ethnomathematics  lies  at  the  intersection  of  mathematics  and  culture,  and  consequently  

demands  that  mathematics  education  reaches  beyond  mathematical  Eurocentrism.  Although  I  can  

never  truly  know  how  another  culture  is  affected  by  such  a  viewpoint,  this  book  has  opened  my  

own  eyes  to  the  oppression  felt  by  students  in  all  parts  of  the  United  States.  I  agree  with  Gutstein  

ZKHQKHVD\VWKDWHGXFDWLRQQHHGVWREH³UHIUDPHGIRUWKHSXUSRVHRIIXQGDPHQWDOO\WUDQVIRUP LQJVRFLHW\IURPWKHERWWRPWRWKHWRSWRHQGLQMXVWLFHLQDOOIRUPV´S:LWKWKHLQFUHDVHG

interest  fostered  by  new  cultural  perspectives  and  the  willingness  of  students  to  be  change  agents  

for  greater  justice,  mathematics  could  also  inhabit  such  a  paradigm  shift.    

Although  Gutstein  and  his  colleagues  have  brought  recent  attention  to  the  need  for  social  

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Movement  in  the  late  1800s,  educators  have  recognized  the  need  for  school  curriculum  to  reflect  

society.  However,  in  the  late  1920s  John  Dewey  and  other  intellectuals  expressed  their  dissatis-­

IDFWLRQZLWKZKDWWKH\EHOLHYHGWREH³DV\VWHPULGGOHGZLWKLQMXVWLFH´.OLHEDUGS6XEVH

quently,  strong  efforts  to  drastically  restructure  the  American  curriculum  began.  Along  with  sup-­

port  for  scientific  and  activity  curriculums  was  a  plea  for  reform  to  meet  social  concerns.  In  fact,  

George  Counts,  in  his  1932  manifesto  Dare  the  School  Build  a  New  Social  Order?  addresses  

what  he  feels  to  be  a  weakness  of  the  Progressive  Education  movement²a  lack  of  attention  to  

social  welfare.  While  he  acknowledges  the  positive  qualities  of  the  liberal-­minded  upper  middle  

class,  he  also  questions  their  ability  to  shape  educational  programs.  In  particular,  he  claims  that  

WKLVFODVVLVLQVHQVLWLYHWRVRFLDOLQMXVWLFHDQGFRQVLGHUVWKHPVHOYHV³PHPEHUVRIDVXSHULRUKX PDQVWUDLQ´S$FFRUGLQJWR&RXQWV  

If  Progressive  Education  is  to  be  genuinely  progressive,  it  must  emancipate  itself  from  

the  influence  of  this  class,  face  squarely  and  courageously  every  social  issue,  come  to  

grips  with  life  in  all  of  its  stark  reality,  establish  an  organic  relation  with  the  community,  

develop  a  realistic  and  comprehensive  theory  of  welfare,  fashion  a  compelling  and  chal-­

lenging  vision  of  human  destiny,  and  become  less  frightened  than  it  is  today  at  the  bogies  

of  imposition  and  indoctrination  (p.  9).  

This  theory  of  social  meliorism  began  in  the  1930s  as  a  response  to  American  dissatisfaction  

with  the  economic  and  social  systems.  With  an  effort  focused  on  social  reconstructionism,  

Counts  and  colleagues  felt  that  social  injustice  and  the  negative  effects  of  capitalism  could  be  

diminished  (Kliebard,  1987).  One  way  to  do  this,  according  to  Paul  Theobald,  is  through  changes  

in  the  educational  domain.  He  states,  

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term  limits,  or  campaign  finance  reform,  or  any  other  sort  of  political  or  economic  re-­

form,  need  to  recognize  that  a  crucial  first  step  to  achieving  those  ends  may  well  be  a  

genuine  conversation  about  what  goes  on  in  the  local  school  (p,  130).  

  As  mathematics  educators  continue  to  face  questions  of  job  security  related  to  high-­stakes  

testing,  the  authors  of  this  book  remind  us  of  the  true  measure  of  educational  success.  As  stu-­

dents  become  aware  of  the  mathematical  contributions  of  all  cultures,  they  may  develop  an  inter-­

est  in  mathematics  and  wish  to  contribute  themselves.  But  most  importantly,  through  culturally  

responsive  teaching,  society  as  a  whole  receives  the  ultimate  benefit.  According  to  the  educa-­

WLRQDOSKLORVRSK\HVSRXVHGE\(ULF*XWVWHLQ¶V&KLFDJRVFKRROVWXGHQWVEXLOGRQWKHLUFRPPX

nity  knowledge  while  striving  to  expand  both  their  academic  and  critical  knowledge  of  mathe-­

matics.  In  this  way,  not  only  do  they  develop  the  mathematical  abilities  for  access  and  opportu-­

nity,  but  they  are  also  able  to  use  these  skills  to  transform  society  locally  as  well  as  globally.    

  :KHUH¶VWKHUXUDO"$OWKRXJKWKHUHLVVRPHPHQWLRQRIUXUDODUHDVDQGWKHPHVQRFKDSWHU

focuses  entirely  on  the  challenges  that  confront  rural  students  and  communities.  The  first  signifi-­

cant  reference  to  rural  place  appears  in  the  chapter  by  Barta  and  Brenner.  As  part  of  their  discus-­

sion  on  the  role  of  culture  in  mathematics  instruction,  they  describe  the  efforts  of  a  rural  Guate-­

malan  community  to  prepare  culturally  relevant  mathematics  lessons.  With  reported  assistance  

from  a  US  nonprofit  organization  headquartered  in  Dallas,  the  Guatemalan  elders  are  now  valued  

by  the  younger  generation  for  their  expertise  in  many  areas.  One  suspects  that  some  or  many  of  

the  other  contributors  to  this  volume  might  have  stretched  to  tell  similar  stories.  For  the  most  

part,  however,  dilemmas  and  struggles  in  U.S.  rural  communities  remain  seemingly  invisible,  

and  this  devolution  is  too  familiar  a  story  when  it  comes  to  discussions  of  curriculum  and  in-­

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  Also  of  benefit  would  be  a  greater  awareness  by  the  authors  of  the  struggles  faced  by  ru-­

ral  communities  as  they  are  continually  oppressed  by  the  dominant  metro-­  or  cosmopolitan  cul-­

ture.  (See  Raymond  Williams,  the  originator  of  cultural  studies,  for  the  classic  argument;;  Wil-­

liams,  [1989,  1973]  took  a  special  interest  in  rural  places  confronting  the  hegemony  of  the  cos-­

mopolitan  outlook).  Such  an  awareness  would  have  served  to  add  depth  to  the  argument  for  cul-­

turally  responsive  education.    

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phenomenon;;  rural  areas  are  also  experiencing  rapid  growth  of  minority  populations  of  all  kinds.  

According  to  the  Economic  Research  Service  of  the  U.S.  Department  of  Agriculture  (ERS),  ra-­

cial  and  ethnic  minorities  make  up  18.3%  of  nonmetro  residents  and  are  geographically  scattered  

throughout  the  U.  S.  (ERS  using  U.S.  Census  Bureau  county  population  estimates,  2005).  While  

culturally  responsive  education  includes  using  innovative  pedagogy  to  reach  all  students,  includ-­

ing  African  Americans,  Native  Americans,  and  Latino/as,  perhaps  the  authors  could  also  take  

into  account  the  places  where  these  various  cultures  reside.  Although  many  studies  focus  on  di-­

YHUVLW\LQXUEDQDUHDVZKHUHPDQ\UHIRUPHUVFRQVLGHUWKH³JUHDWHVWSUREOHPV´WREHUXUDOSODFHV

confront  unresponsive  forms  of  schooling²EDVHGRQ:LOOLDPV¶QRWLRQRIWKHKHJHPRQ\RIWKH

cultural  metropolis  (which,  by  the  way  does  not  originate  from  dispossessed  urban  minorities).  

Rurally  appropriate  schooling  would,  according  to  many  voices,  help  strengthen  the  rural  com-­

munities  the  nation  as  a  whole  is  going  to  need  in  the  age  of  declining  oil  production  and  rising  

post-­industrial  demand  for  food,  lumber,  and  natural  fiber.  Refreshingly,  in  light  of  this  criticism,  

Moschkovich  and  Nelson-­Barber  discuss  place-­based  education  in  their  chapter  What  Mathemat-­

ics  Teachers  Need  to  Know  about  Culture  and  Language.  Recognizing  the  importance  of  place  

(18)

GHQWV¶H[SHULHQFHV  

  Finally,  now  that  the  case  has  been  made  for  culturally  responsive  mathematics  educa-­

WLRQLQFOXGLQJDUHVSRQVLYHQHVVVHQVLWLYHWRUXUDOSODFHDQGWKHFRQVWUXFWRI³SODFH´LQJHQHUDO

we  must  begin  the  task  of  convincing  the  public  and  the  power  brokers  that  schools  had  better  

build  a  new  social  order  (cf.  Counts,  1932),  and  daring  ourselves  to  do  so  more  frequently²and  

to  keep  on  with  the  doing.  Future  volumes  need  to  consider  the  politics,  economics,  and  cultural  

implications  of  the  struggle.    

Who  should  read  this  book?  

  This  book  is  written  for  a  varied  audience.  Unquestionably,  mathematics  educators  would  

benefit  from  the  discussion.  In  addition,  students,  researchers,  administrators,  and  anyone  inter-­

ested  in  the  transformation  of  mathematics  education  would  benefit.  Although  the  book  focuses  

on  the  United  States  almost  exclusively  (with  Guatemala  oddly  representing  rural  places  in  this  

context!),  many  of  the  ideas  espoused  by  the  authors  might,  with  considerable  care  in  the  transla-­

tion,  be  useful  in  other  parts  of  the  world;;  and  even  in  rural  places  in  North  America.  

  This  book  confirms  the  need  for  an  intellectual  and  cultural  transformation  in  mathemat-­

LFVHGXFDWLRQ,W¶VQRW$UQH'XQFDQ¶VRU%LOO%HQQHWW¶VRU0DUJDUHW6SHOOLQJ¶VYLVLRQRIUHIRUP² QRWE\DORQJVKRW0DWKHPDWLFVLWVHOIOHWDORQHPDWKHPDWLFVHGXFDWLRQLVQRWQHXWUDOLW¶VILOOHG

with  the  uncertainties  of  any  human  endeavor,  including  the  uncertainties  of  cultural,  economic,  

and  political  catastrophe.  More  people  should  be  worried;;  and  this  book  can  help  them  in  their  

worries.    

 

(19)

References  

Counts,  G.S.  (1932)  Dare  the  school  build  a  new  social  order?  New  York:  John  Day  Company.    

Economic  Research  Service  (2007).  Rural  population  and  migration:  Trend  5²Diversity  

 increases  in  nonmetro  America.  Retrieved  from  

http://www.ers.usda.gov/Briefing/Population/Diversity.htm  

Ernest,  P.  (2011)  Paul  Ernest.  Retrieved  from  http://people.exeter.ac.uk/PErnest/short_cv.htm  

Gay,  G.  (2000).  Culturally  responsive  teaching:  Theory,  research,  and  practice.  New  

 <RUN7HDFKHU¶V&ROOHJH3UHVV  

Hauk,  S.  (2007).  Culturally  responsive  teaching.  Retrieved  from    

  http://hopper.unco.edu/hauk/tport2006/node4.htm  

Theobald,  P.  (2009).  Education  now.  Boulder:  Paradigm  Publishers.  

 University  of  Illinois  at  Chicago  faculty  profile.  (2011).  Eric  Gutstein.  Retrieved  from    

  http://education.uic.edu/directory/faculty_info.cfm?netid=gutstei  

University  of  Washington  (2011).  Beyond  the  bricks:  The  people,  passion  and  ideas  that  

make  UW  Tacoma  work.  Retrieved  from  http://www.tacoma.uw.edu/features/research/

making-­math-­meaningful-­  key-­reaching-­student  

Williams,  R.  (1989).  The  politics  of  modernism.  London:  Verso.  

(20)

Research  Initiative  Update  

 

  Four  ACCLAIM  studies  are  underway  as  of  early  July  2011.    One²previously  re-­

ported²is  conducting  a  national  survey  based  on  findings  from  the  Seven-­Site  Study  (the  survey  

goes  live  in  July);;  another  is  preparing  a  journal  article  based  on  the  most  complex  of  the  seven  

cases;;  another  will  interview  participants  in  the  doctoral  program;;  and  the  fourth  will  provide  a  

retrospective  of  the  works  produced  by  the  Research  Initiative,  2001-­2011.  

  The  survey  of  teachers  of  mathematics  was  designed  last  summer  and  has  been  pilot  

tested.    The  current  version  has  adequate  alpha  reliability  and  now  consists  of  29  substantive  

LWHPVSOXVLWHPVDERXWUHVSRQGHQWV¶FKDUDFWHULVWLFV  

For  the  interview  study,  Ohio  University  math  education  doctoral  student  Dan  Showalter  

is  interviewing  15  ACCLAIM  doctoral  program  participants  across  all  three  cohorts.    We  are  as  

interested  in  the  experience  of  those  who  ended  their  involvement  before  completing  a  degree  as  

in  those  who  completed  a  degree.    Dan  was  the  chief  data  analyst  (working  closely  with  two  

other  colleagues)  for  the  in-­press  cross-­case  analysis  from  the  Seven-­Site  Study.    As  of  the  end  

of  June,  the  Ohio  University  IRB  had  approved  the  study  plan.  

The  most  complex  case  study  from  the  Seven-­Site  Study  is  being  prepared  as  a  separate  

journal  article  manuscript.  Data  analysis  will  proceed  in  greater  depth  than  was  possible  earlier;;  a  

likely  focus  in  this  article  will  be  the  arc  of  the  Nebraska  multi-­GLVWULFWFROODERUDWLYH¶VKLVWRULFDO

effort  to  sustain  four  small,  rural  districts.  The  literature  review  for  the  study  is  being  developed  

by  Katie  Hendrickson,  a  rural  math  teacher  recently  enrolled  in  the  OU  math  education  doctoral  

program.      

Finally,  the  synthesis  of  the  2001-­2011  ACCLAIM  research  corpus  is  proceeding  with  

(21)

tional  writing  capacity.    This  manuscript  seemed  necessary  in  view  of  the  scope  and  variety  of  

publications  produced  by  the  research  initiative,  but  it  is  also  intended  as  a  companion  piece  to  

WKH&HQWHU¶VILUVW2FFDVLRQDO3DSHU²the  2002  prolegomenon  to  the  work  of  the  Research  Initia-­

tive  (What  is  Our  Work?).  

Each  of  these  efforts  is  a  collaboration  among  experienced  ACCLAIM  scholars,  and  au-­

thorship  of  the  final  drafts  is  still  in  play.    Those  involved  in  the  follow-­up  survey,  for  instance,  

include  Bob  Klein,  Jerry  Johnson,  John  Hitchcock,  and  Craig  Howley.    Aimee  Howley  is  work-­

ing  most  closely  with  Katie  Hendrickson  on  the  literature  review,  and  Craig  Howley  with  Zach  

Wilson  on  the  synthesis  manuscript.  But  others  will  be  involved  as  well,  including  ACCLAIM  

student  Johnny  Belcher  (who  conducted  excellent  interviews  at  the  Nebraska  site).      

 

 

 

 

 

 

(22)

 

 

 

ANNOUNCEMENT:  

ATTENTION  ACCLAIM  doctoral  students!!  

The  NSF  grant  for  ACCLAIM  ends  on  August  31,  2011.    

If  students  want  ½  their  tuition  paid  for  fall  semester,  they  must  

 enroll  in  August,  making  sure  that  the  appropriate  university    

sends  an  invoice.  

(23)

Upcoming  Conference  Information    

 

RSS  2011   Boise,  ID  

July  27²31  

 

NCTM  2011  Regional  Conferences  &  Expositions  

 Atlantic  City,  NJ²October  19±21  

 St.  Louis,  MO²October  26±28    

 Albuquerque,  NM²November  2±4  

   

AAMTE  2011     Huntington,  WV    

November  4²5  

 

AMTE  2012    

Fort  Worth,  TX  

February  9²11  

 

AERA  2012  Annual  Meeting  

Vancouver,  British  Columbia,  Canada  

April  13²17  

Non  Satis  Scire:  To  Know  is  No  Enough    

 

NCTM  2012  Annual  Meeting  and  Exposition   Philadelphia,  PA  

April  25-­28  

Technology  and  Mathematics:  Get  Connected  

   

 

 

References

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