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A	
  Mathematics	
  &	
  Special	
  
       Education	
  Collaboration:	
  	
  
        Strategies	
  For	
  Inclusive	
  
       Mathematics	
  Instruction	
  


        University	
   o f	
   H awai’i	
   Team:	
  
	
  
         Mathematics	
   E ducation	
  
       Hannah	
   S lovin,	
   F ay	
   Z enigami	
  
            Special	
   E ducation	
  
        Kavita	
   R ao,	
   R honda	
   B lack	
  
Overview	
  of	
  project	
  
                          • Conducted	
  classroom	
  
                            observations	
  of	
  1st	
  grade	
  
                            and	
  6th	
  grade	
  classes	
  at	
  
                            the	
  University	
  Laboratory	
  
                            School	
  (ULS)	
  

                          • Examined	
  how	
  needs	
  of	
  
                            struggling	
  learners	
  are	
  
                            addressed	
  within	
  the	
  
                            instructional	
  approaches	
  
Curriculum	
  &	
  Instructional	
  Approach	
  
                                   1st	
  grade:	
  	
  
                                   Measure	
  Up	
  (MU)	
  
                                   	
  
                                   6th	
  grade:	
  	
  
                                   Reshaping	
  Mathematics	
  for	
  
                                   Understanding	
  (RMU)	
  	
  

• have	
  a	
  discovery-­‐	
  and	
  problem-­‐based	
  approach	
  to	
  
 mathematics	
  

• concepts	
  are	
  not	
  explicitly	
  explained	
  but	
  emerge	
  from	
  
 problem-­‐solving	
  and	
  discussion	
  
Research	
  Question:	
  

 The	
  curricula	
  are	
  centered	
  on	
  the	
  construction	
  
 and	
  negotiation	
  of	
  shared	
  meanings.	
  

 In	
  such	
  an	
  environment,	
  what	
  are	
  the	
  needs	
  
 and	
  challenges	
  of	
  the	
  struggling	
  learner?	
  
Timeline	
  
                           Phase	
  I:	
  April-­‐May	
  2011	
  
•  	
  Whole	
  class	
  observations	
  to	
  determine	
  RQ	
  

                       Phase	
  II:	
  August-­‐Dec	
  2011	
  
•  Whole	
  class	
  observations	
  with	
  specific	
  questions	
  
•  Discussed	
  observation	
  data	
  as	
  a	
  team	
  
•  Developed	
  categories	
  based	
  on	
  observation	
  data	
  
•  Selected	
  individual	
  target	
  students	
  to	
  observe	
  

                        Phase	
  III:	
  Jan-­‐March	
  2012	
  
•  Observed	
  target	
  students	
  
•  Analyzed	
  data	
  and	
  discussed	
  as	
  a	
  team	
  
•  Identified	
  Tier	
  1	
  and	
  Tier	
  2	
  supports	
  to	
  assist	
  struggling	
  
   learners	
  
Phase	
  I	
  
 • Trying	
  to	
  find	
  shared	
  protocols	
  for	
  observation	
  
 • Started	
  with	
  UDL	
  Educator’s	
  Checklist	
  for	
  coding	
  
   observation	
  notes	
  
Info	
  from	
  the	
  following	
  slides	
  can	
  be	
  found	
  at:	
  
	
  
	
  
www.bit.ly/mathhandout	
  
Phase	
  II:	
  
Based	
  on	
  observations	
  in	
  first	
  phase,	
  derived	
  
themes	
  and	
  categories	
  

Identified	
  “Dilemmas”:	
  
1.  Conceptual	
  development	
  
2.  Rich	
  content	
  
3.  Verbalization	
  skills	
  
4.  Multiple	
  points	
  of	
  view	
  
5.  Fluid	
  protocol	
  
6.  Learning	
  goal	
  
Phase	
  II:	
  
Came	
  up	
  with	
  categories	
  for	
  instructional	
  events,	
  
related	
  Dilemmas,	
  and	
  potential	
  challenges/
supports	
  
Phase	
  III:	
  Data	
  Collection	
  &	
  Analysis	
  
• Observed	
  target	
  students	
  on	
  consecutive	
  days	
  for	
  
  two	
  cycles	
  (3-­‐4	
  days	
  each)	
  

• Categorized	
  data	
  from	
  observations	
  by	
  mapping	
  
  them	
  with	
  Dilemmas,	
  Supports	
  and	
  Challenges	
  that	
  
  had	
  been	
  discussed	
  as	
  a	
  team	
  

• Discussed	
  emerging	
  ideas	
  with	
  classroom	
  teachers	
  	
  
Analysis	
  -­‐	
  Emerging	
  Ideas	
  

Measure	
  Up	
  (MU):	
  1st	
  grade:	
  
• 	
  Several	
  ideas	
  for	
  Tier	
  2	
  supports	
  emerged	
  during	
  
         observation	
  and	
  analysis	
  
• Gaps	
  in	
  content	
  understanding	
  are	
  minimal,	
  but	
  
         students	
  need	
  to	
  learn	
  “how	
  to	
  learn”	
  and	
  “how	
  to	
  
         ask	
  questions”	
  
• Tier	
  2	
  will	
  need	
  behavioral	
  and	
  social	
  strategy	
  
         instruction	
  in	
  addition	
  to	
  academic	
  support	
  
	
  	
  
Analysis-­‐	
  Emerging	
  Ideas	
  

 Reshaping	
  Mathematics	
  for	
  Understanding	
  (RMU):	
  
 6th	
  grade:	
  	
  
 • Several	
  ideas	
  for	
  Tier	
  1	
  supports	
  emerged	
  during	
  
          observation	
  and	
  analysis	
  phases	
  
 • Some	
  students	
  needed	
  supports	
  with	
  instructional	
  
          strategies	
  to	
  access	
  the	
  method	
  of	
  learning	
  
 • Several	
  questions	
  emerged	
  from	
  observation	
  of	
  
          whole	
  class	
  instruction	
  and	
  interaction.	
  	
  
 • See	
  handout	
  at	
  www.bit.ly/mathhandout	
  (for	
  
          specific	
  questions)	
  
 	
  	
  
Next	
  Steps	
  
  1st	
  grade	
  Measure	
  Up	
  
  •  Code	
  data	
  according	
  to	
  themes	
  

  6th	
  grade	
  Reshaping	
  Mathematical	
  Understanding	
  
  •  Discuss	
  additional	
  strategies	
  to	
  support	
  struggling	
  learners	
  
     for	
  Tier	
  1	
  whole	
  class	
  	
  
  •  Discuss	
  feasibility	
  of	
  implementing	
  strategies	
  with	
  teacher	
  	
  
 Question	
  and	
  Comments	
  

           at	
  
  roundtable	
  discussion	
  

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University of Hawaii Math RTI Team presentation

  • 1. A  Mathematics  &  Special   Education  Collaboration:     Strategies  For  Inclusive   Mathematics  Instruction   University   o f   H awai’i   Team:     Mathematics   E ducation   Hannah   S lovin,   F ay   Z enigami   Special   E ducation   Kavita   R ao,   R honda   B lack  
  • 2. Overview  of  project   • Conducted  classroom   observations  of  1st  grade   and  6th  grade  classes  at   the  University  Laboratory   School  (ULS)   • Examined  how  needs  of   struggling  learners  are   addressed  within  the   instructional  approaches  
  • 3. Curriculum  &  Instructional  Approach   1st  grade:     Measure  Up  (MU)     6th  grade:     Reshaping  Mathematics  for   Understanding  (RMU)     • have  a  discovery-­‐  and  problem-­‐based  approach  to   mathematics   • concepts  are  not  explicitly  explained  but  emerge  from   problem-­‐solving  and  discussion  
  • 4. Research  Question:   The  curricula  are  centered  on  the  construction   and  negotiation  of  shared  meanings.   In  such  an  environment,  what  are  the  needs   and  challenges  of  the  struggling  learner?  
  • 5. Timeline   Phase  I:  April-­‐May  2011   •   Whole  class  observations  to  determine  RQ   Phase  II:  August-­‐Dec  2011   •  Whole  class  observations  with  specific  questions   •  Discussed  observation  data  as  a  team   •  Developed  categories  based  on  observation  data   •  Selected  individual  target  students  to  observe   Phase  III:  Jan-­‐March  2012   •  Observed  target  students   •  Analyzed  data  and  discussed  as  a  team   •  Identified  Tier  1  and  Tier  2  supports  to  assist  struggling   learners  
  • 6. Phase  I   • Trying  to  find  shared  protocols  for  observation   • Started  with  UDL  Educator’s  Checklist  for  coding   observation  notes  
  • 7. Info  from  the  following  slides  can  be  found  at:       www.bit.ly/mathhandout  
  • 8. Phase  II:   Based  on  observations  in  first  phase,  derived   themes  and  categories   Identified  “Dilemmas”:   1.  Conceptual  development   2.  Rich  content   3.  Verbalization  skills   4.  Multiple  points  of  view   5.  Fluid  protocol   6.  Learning  goal  
  • 9. Phase  II:   Came  up  with  categories  for  instructional  events,   related  Dilemmas,  and  potential  challenges/ supports  
  • 10. Phase  III:  Data  Collection  &  Analysis   • Observed  target  students  on  consecutive  days  for   two  cycles  (3-­‐4  days  each)   • Categorized  data  from  observations  by  mapping   them  with  Dilemmas,  Supports  and  Challenges  that   had  been  discussed  as  a  team   • Discussed  emerging  ideas  with  classroom  teachers    
  • 11. Analysis  -­‐  Emerging  Ideas   Measure  Up  (MU):  1st  grade:   •   Several  ideas  for  Tier  2  supports  emerged  during   observation  and  analysis   • Gaps  in  content  understanding  are  minimal,  but   students  need  to  learn  “how  to  learn”  and  “how  to   ask  questions”   • Tier  2  will  need  behavioral  and  social  strategy   instruction  in  addition  to  academic  support      
  • 12. Analysis-­‐  Emerging  Ideas   Reshaping  Mathematics  for  Understanding  (RMU):   6th  grade:     • Several  ideas  for  Tier  1  supports  emerged  during   observation  and  analysis  phases   • Some  students  needed  supports  with  instructional   strategies  to  access  the  method  of  learning   • Several  questions  emerged  from  observation  of   whole  class  instruction  and  interaction.     • See  handout  at  www.bit.ly/mathhandout  (for   specific  questions)      
  • 13. Next  Steps   1st  grade  Measure  Up   •  Code  data  according  to  themes   6th  grade  Reshaping  Mathematical  Understanding   •  Discuss  additional  strategies  to  support  struggling  learners   for  Tier  1  whole  class     •  Discuss  feasibility  of  implementing  strategies  with  teacher    
  • 14.  Question  and  Comments   at   roundtable  discussion