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Page 1: ASLI Mathematics fixed - PBworksrapps.pbworks.com/w/file/fetch/96872154/ASLI Mathematics fixed .pdf · 5/29/15 7 Whatiscurrentlyinplaceforsupporting teachers!with!the!three!aspects!of!rigor?!

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Page 2: ASLI Mathematics fixed - PBworksrapps.pbworks.com/w/file/fetch/96872154/ASLI Mathematics fixed .pdf · 5/29/15 7 Whatiscurrentlyinplaceforsupporting teachers!with!the!three!aspects!of!rigor?!

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! Direction-­‐setting:  helping  members  of  the  organization  establish  a  widely  agreed  on  direction  or  set  of  purposes  considered  valuable  for  the  organization;  and  

!   Influence:  encouraging  organizational  members  to  act  in  ways  that  seem  helpful  in  moving  toward  the  agreed  on  directions  or  purposes.    

                 Student  Centered  Leadership  (p.  7)            Vivanne  Robinson  

Pg  1  

!  Discuss  leadership  considerations  for  various  aspects  of  the  mathematics  implementation  

!  Examine  tools  that  can  be  of  assistance  to  us  while  we  lead  !  Instruction  !  Formative  Assessment  Practices  

!  Process  our  learning  within  various  learning  configurations  and  activities  

Page 3: ASLI Mathematics fixed - PBworksrapps.pbworks.com/w/file/fetch/96872154/ASLI Mathematics fixed .pdf · 5/29/15 7 Whatiscurrentlyinplaceforsupporting teachers!with!the!three!aspects!of!rigor?!

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What  is  currently  in  place  for  your  K-­‐12  Mathematics  Implementation  with  the  

Alaska  Standards?   New  Triad  

Focus:  focus  strongly  where  the  standards  focus  

Coherence:  think  across  grades,  and  link  to  major  topics  in  each  grade  

Rigor:  in  major  topics,  pursue  with  equal  intensity  !  conceptual  understanding,    ! procedural  skill  and  fluency,  and  ! applications  

Page 4: ASLI Mathematics fixed - PBworksrapps.pbworks.com/w/file/fetch/96872154/ASLI Mathematics fixed .pdf · 5/29/15 7 Whatiscurrentlyinplaceforsupporting teachers!with!the!three!aspects!of!rigor?!

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Opera.ons  and  Algebraic  Thinking  Expressions  and  Equa.ons  

Algebra  

→   →  

Number  and  Opera.ons—Base  Ten   →  

The  Number  System  

→  

Number  and  Opera.ons—Frac.ons  

→  

K   1   2   3   4   5   6   7   8   High  School  

!  Teacher:    How  might  I  takes  steps  to  master  the  math  content  knowledge  for  the  area  of  focus  I  am  teaching?  

!  Leadership:      What  steps  might  we  take  as  a  collective  staff  to  master  the  content  knowledge  for  the  areas  we  are  teaching?  

Page 5: ASLI Mathematics fixed - PBworksrapps.pbworks.com/w/file/fetch/96872154/ASLI Mathematics fixed .pdf · 5/29/15 7 Whatiscurrentlyinplaceforsupporting teachers!with!the!three!aspects!of!rigor?!

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Rigor  =  Conceptual  understanding  +  Procedural  skill  and  fluency  +  Application  

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60  x  5  =  

Solve  the  problem  mentally  using  two  different  methods.  

!  Knowledge  Gap:  !  Professional  Development  !  Opportunities  to  study  new  standards,  materials,  etc.  

!  Skill  Gap:  !  Opportunities  to  practice  !  Descriptive  Feedback  !  Opportunities  to  Collaborate  ▪  Study  best  practices  ▪  Try  on  new  instructional  techniques  ▪  Discuss  Formative  Assessment  Practices  

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What  is  currently  in  place  for  supporting  teachers  with  the  three  aspects  of  rigor?  

New  to  You  

Reasoning  and  Explaining  2.  Reason  abstractly  and  quantitatively  3.  Construct  viable  arguments  and  critique  the  reasoning  of  others  

Modeling  and  Using  Tools  4.  Model  with  mathematics  5.  Use  appropriate  tools  strategically  

Seeing  Structure  and  Generalizing  7.  Look  for  and  make  use  of  structure  8.  Look  for  and  express  regularity  in  repeated  reasoning  

Overarching  Habits  of  Mind  of  a  Productive  Mathematical  Thinker  1.  Make  sense  of  problems  and  persevere  in  solving  them  6.  Attend  to  precision  

Adapted  from  (McCallum,  2011)  

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! Materials  ! What  materials  are  being  used  to  implement  the  Alaska  Mathematics  Standards?  

!  Professional  Development  ! What  professional  development  opportunities  are  there  for  educators?  

!  Feedback  and  Support  in  the  classroom  ! What  ongoing  support  opportunities  are  there  for  educators?  

Pg  3  

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Developed  by  Alaska  Dept  of  Ed  

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Standards  for  Mathematical  Practice   DOK  

1.  Make  sense  of  problems  and  persevere  in  solving  them.   2  

2.  Reason  abstractly  and  quantitatively.   3  

3.  Construct  viable  arguments  and  critique  the  reasoning  of  others.  

3  

4.  Model  with  mathematics.   3,  4  

5.  Use  appropriate  tools  strategically.   2  

6.  Attend  to  precision.   1,  2  

7.  Look  for  and  make  use  of  structure.   3  

8.  Look  for  and  express  regularity  in  repeated  reasoning.   3  

Developed  by  Alaska  Dept  of  Ed  

20  

0%  

10%  

20%  

30%  

40%  

50%  

60%  

Level  1   Level  2   Level  3   Level  4  

DOK  Level  for  Content  Standards  and  Mathematical  Practices  

Content  Standards   Mathematical  Practices  Developed  by  Alaska  Dept  of  Ed  

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! Count  off  in  groups  of  three  ! Watch  video  of  lesson  ! #1  focus  on  section  1/DOK  level  ! #2  focus  on  section  2/DOK  level  ! #3  focus  on  section  3/DOK  level  

! Record  responses  ! Share  findings  with  your  colleagues   Jigsaw  

Pg  16  http://www.teachingthecore.org/view/136  Annotation  #1  

Pg  6  

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Jigsaw  Pg  6  

! #1  focus  on  Core  Action  1  ! #2  focus  on  Core  Action  2  ! #3  focus  on  Core  Action  3  ! Read  through  your  respective  sections  

! Explain  your  section  to  your  colleagues  

http://www.teachingthecore.org/view/10  (use  all  annotations)  

!  MathTasks:    http://education.alaska.gov/akstandards/math/resources/Math_Tasks_Grade_4.pdf  

!  Vocabulary:    http://education.alaska.gov/akstandards/math/resources/Math_Voc_Grade_6.pdf  

!  Webinars:    http://www.livebinders.com/play/play?id=1400985&backurl=/shelf/my  

!  Videos:  http://www.teachingthecore.org/  

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Pg  18  

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Pg  2  

http://www.teachingthecore.org/view/99    Second  annotation  

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 Given  today’s  conversation,  what  might  need  

to  be  more  deeply  considered  when  adjusting  

and  improving  your  Mathematics  

Implementation.  !  Establishing  an  environment  of  Support  

!  Instruction  

!  Ongoing  Formative  Assessment  Practices