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Achievement in Mathema.cs 

            Differen.a.on: Mee.ng the Needs of All 
                          Students 



© 2009 Math Solu.ons 
If you are having audio problems, call 484-589-1010, and use access code 310-064-690 #


                                      Presenters 
                         Pa@y Clark, Moderator 
                            Educa.on Consultant 
                            Math Solu.ons 
                   



                         Jayne Bamford Lynch 
                            Na.onal Faculty Lesley University 
                            District math coach K‐8, Cambridge, Massachuse@s 
                            Author Math For All: Differen1a1ng Instruc1on, Grades 3‐5 
                         Liz Stamson 
                             Math specialist 
                             Building math coach 
                             White Bear Lake Schools, Minnesota 


© 2009 Math Solu.ons 
Agenda 
•  What is differen.a.on in math instruc.on? 
•  Strategies for differen.a.ng mathema.cs 
   lessons 
•  Differen.a.on in ac.on 
•  Results of differen.a.ng instruc.on 
•  Ques.ons and Answers 



© 2009 Math Solu.ons 
Why Differen.ate Instruc.on? 
Lev Vygotsky (1978), defined the zone of 
  proximal development (ZPD), as the range at 
  which learning takes place.  
The diversity of learning needs in classrooms is 
  growing.  
Differen.ated instruc.on is a process to 
  approach teaching and learning for students 
  of differing abili.es in the same class.  


© 2009 Math Solu.ons 
Differen.a.ng Instruc.on: What It Is 
             and How It’s Done 
           Jayne Bamford Lynch 
           Na.onal Faculty, Lesley University 
             District math coach K‐8, Cambridge, Massachuse@s 
             Author, Math for All: Differen1a1ng Instruc1on,   
                       Grades 3‐5 




© 2009 Math Solu.ons 
Start with the posi.ve!
                                       




© 2009 Math Solu.ons 
Survey! A Key DI Tool 
When I differen.ate a lesson I feel more 
  comfortable: 

A:  Suppor.ng struggling students 

B:  Suppor.ng students who need 
    enrichment 

© 2009 Math Solu.ons 
       
         Share your strength!
                             




© 2009 Math Solu.ons 
Doubling Pot
                                    




© 2009 Math Solu.ons 
What is Differen.ated Instruc.on? 
         Differen.ated instruc.on is instruc.on 
          that is designed to meet the needs of 
          differing learners and increase the 
          likelihood that all students will succeed 
          and meet required curricular 
          outcomes. 



© 2009 Math Solu.ons 
How it is Done 
Carol Tomlinson (1999‐2003) iden.fies three 
    areas in which teachers can adapt their 
    curriculum for differen.a.on: 
1.  Content 
2.  Process 
3.  Product 
Regardless of the specific subject or grade level, 
    adap.ng curriculum in these three areas is 
    key.  
© 2009 Math Solu.ons 
Choices to Offer Students
                                                
•      Which tasks to complete 
•      What materials to use 
•      With whom to partner 
•      Where to work 
•      How long to work on a par.cular task  
•      Which topics to study 
•      The order in which to complete assignments 
•      How to represent and present ideas 
•      How to demonstrate what is understood 
© 2009 Math Solu.ons 
Example Ques.onnaire: Who Are 
             You as a Learner? 




From Math for All: Differentiating
Instruction, Grades 3–5 by Linda Dacey
and Jayne Bamford Lynch. © 2007
Math Solutions Publications.




 © 2009 Math Solu.ons 
Menus
                              
                        Appe%zer (Chose One) 
                        Make a circle and stars book 
                        Play Mul.plica.on Tic Tac Toe 

                        Main Course (Must Do) 
                        Solve the problem, write a mul%plica%on 
                        equa%on and show your solu%on. 
                        Jack drew some hexagons. 
                        Each hexagon has 6 sides. 
                        There are 30 sides in all. 
                        How many hexagons did Jack draw? 

                        Dessert (Chose One) 
                        Write a song to help you remember you 
                         mul.plica.on facts 
                        Read a book about mul.plica.on from the 
                         basket 



© 2009 Math Solu.ons 
Suppor.ng Choice: Think 
                                                
                               Tac Toe 




   From Math for All: Differentiating Instruction, Grades 3–5 by Linda Dacey and Jayne
   Bamford Lynch. © 2007 Math Solutions Publications.


© 2009 Math Solu.ons 
Tiered Problem 




© 2009 Math Solu.ons 
Teaching With the Goal of 
        Differen.a.on: 10 Ways to Sustain 
                   Your Efforts 
1.          Iden.fy where you already provide differen.a.on 
2.          Recognize where you are along the journey 
3.          Get support with what you want to learn 
4.          Share your strengths 
5.          Give students choice 
6.          Work with parents 
7.          Find sources of professional development 
8.          Reflect on your journey 
9.          Keep the vision 
10.         Feel part of a bigger mission 

© 2009 Math Solu.ons 
Differen.a.ng in Ac.on 
                         Liz Stamson 
                         Math specialist 
                         Building math coach 
                         White Bear Lake Schools, Minnesota 




© 2009 Math Solu.ons 
My Differen.a.on Journey 
•  Recogni.on that my planning and teaching did 
   not address high achievers and gined students 
•  Inves.ga.on of differen.ated instruc.on 
   prac.ces that would help me reach all 
   students 
•  Sharing enthusiasm and success with fellow 
   teachers 


© 2009 Math Solu.ons 
Engaging Our Community of 
                        Educators 
•  Team teacher 
•  Groups of teachers 
•  Forma.on of teachers into a PLC focused on 
   differen.a.on in math 
•  Principal encouraged and funded PD efforts 




© 2009 Math Solu.ons 
Trying Different Strategies 

•  Tiered lessons 
    three or more levels to a lesson 
•  Think Tac Toe 
    different levels of tasks and different learning  
    styles 



© 2009 Math Solu.ons 
Trying Different Strategies
                                                  
•  Asking  ques.ons that require more thought 
   than a yes/no ques.on 

How did you solve the problem? 
How is your strategy like ______’s strategy? 
Why does your strategy work? 
Do you think your strategy will always work? 


© 2009 Math Solu.ons 
Trying Different Strategies 
•  Open Tasks 
Closed Task…typically has one answer 
            3 n. 


                                                 10 n. 
Open Task…has more than one answer 
The area of a garden is 48 square feet. What does it look like? 



© 2009 Math Solu.ons 
RAFT 




  From Math for All: Differentiating Instruction, Grades 3–5 by Linda Dacey and Jayne
  Bamford Lynch. © 2007 Math Solutions Publications.



© 2009 Math Solu.ons 
Benefits of Differen.a.on 
•      Student engagement 
•      Student response 
•      Student par.cipa.on 
•      Parents changes 
•      Achievement 




© 2009 Math Solu.ons 
Lessons Learned 
•      Start with one differen.a.on strategy 
•      Brainstorm with other teachers 
•      Do what works 
•      Listen to student feedback 




© 2009 Math Solu.ons 
Math Solu.ons Support for 
                        Differen.ated Instruc.on 
•  Immersion Courses, School Year Courses, and 
   School Based Coaching 
•  Math Solu.ons Publica.ons 




© 2009 Math Solu.ons 
Ques.on & Answer 
                         Pa@y Clark, Moderator 
                            Educa.on Consultant 
                            Math Solu.ons 
                     



                         Jayne Bamford Lynch 
                            Na.onal Faculty Lesley University 
                            District math coach K‐8, Cambridge, Massachuse@s 
                            Author Math For All: Differen1a1ng Instruc1on, Grades 3‐5 
                         Liz Stamson 
                             Math specialist 
                             Building math coach 
                             White Bear Lake Schools, Minnesota 


© 2009 Math Solu.ons 
mathsolu.ons.com 
                        info@mathsolu.ons.com 
                             800.868.9092 


© 2009 Math Solu.ons 

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Differentiation presentation slides

  • 1. Achievement in Mathema.cs  Differen.a.on: Mee.ng the Needs of All  Students  © 2009 Math Solu.ons 
  • 2. If you are having audio problems, call 484-589-1010, and use access code 310-064-690 # Presenters        Pa@y Clark, Moderator          Educa.on Consultant          Math Solu.ons                Jayne Bamford Lynch           Na.onal Faculty Lesley University           District math coach K‐8, Cambridge, Massachuse@s           Author Math For All: Differen1a1ng Instruc1on, Grades 3‐5        Liz Stamson            Math specialist            Building math coach            White Bear Lake Schools, Minnesota  © 2009 Math Solu.ons 
  • 3. Agenda  •  What is differen.a.on in math instruc.on?  •  Strategies for differen.a.ng mathema.cs  lessons  •  Differen.a.on in ac.on  •  Results of differen.a.ng instruc.on  •  Ques.ons and Answers  © 2009 Math Solu.ons 
  • 4. Why Differen.ate Instruc.on?  Lev Vygotsky (1978), defined the zone of  proximal development (ZPD), as the range at  which learning takes place.   The diversity of learning needs in classrooms is  growing.   Differen.ated instruc.on is a process to  approach teaching and learning for students  of differing abili.es in the same class.   © 2009 Math Solu.ons 
  • 5. Differen.a.ng Instruc.on: What It Is  and How It’s Done        Jayne Bamford Lynch        Na.onal Faculty, Lesley University         District math coach K‐8, Cambridge, Massachuse@s         Author, Math for All: Differen1a1ng Instruc1on,                   Grades 3‐5  © 2009 Math Solu.ons 
  • 6. Start with the posi.ve!   © 2009 Math Solu.ons 
  • 8.         Share your strength!   © 2009 Math Solu.ons 
  • 9. Doubling Pot   © 2009 Math Solu.ons 
  • 10. What is Differen.ated Instruc.on?  Differen.ated instruc.on is instruc.on  that is designed to meet the needs of  differing learners and increase the  likelihood that all students will succeed  and meet required curricular  outcomes.  © 2009 Math Solu.ons 
  • 11. How it is Done  Carol Tomlinson (1999‐2003) iden.fies three  areas in which teachers can adapt their  curriculum for differen.a.on:  1.  Content  2.  Process  3.  Product  Regardless of the specific subject or grade level,  adap.ng curriculum in these three areas is  key.   © 2009 Math Solu.ons 
  • 12. Choices to Offer Students   •  Which tasks to complete  •  What materials to use  •  With whom to partner  •  Where to work  •  How long to work on a par.cular task   •  Which topics to study  •  The order in which to complete assignments  •  How to represent and present ideas  •  How to demonstrate what is understood  © 2009 Math Solu.ons 
  • 13. Example Ques.onnaire: Who Are  You as a Learner?  From Math for All: Differentiating Instruction, Grades 3–5 by Linda Dacey and Jayne Bamford Lynch. © 2007 Math Solutions Publications. © 2009 Math Solu.ons 
  • 14. Menus   Appe%zer (Chose One)  Make a circle and stars book  Play Mul.plica.on Tic Tac Toe  Main Course (Must Do)  Solve the problem, write a mul%plica%on  equa%on and show your solu%on.  Jack drew some hexagons.  Each hexagon has 6 sides.  There are 30 sides in all.  How many hexagons did Jack draw?  Dessert (Chose One)  Write a song to help you remember you   mul.plica.on facts  Read a book about mul.plica.on from the   basket  © 2009 Math Solu.ons 
  • 15. Suppor.ng Choice: Think    Tac Toe  From Math for All: Differentiating Instruction, Grades 3–5 by Linda Dacey and Jayne Bamford Lynch. © 2007 Math Solutions Publications. © 2009 Math Solu.ons 
  • 17. Teaching With the Goal of  Differen.a.on: 10 Ways to Sustain  Your Efforts  1.  Iden.fy where you already provide differen.a.on  2.  Recognize where you are along the journey  3.  Get support with what you want to learn  4.  Share your strengths  5.  Give students choice  6.  Work with parents  7.  Find sources of professional development  8.  Reflect on your journey  9.  Keep the vision  10.  Feel part of a bigger mission  © 2009 Math Solu.ons 
  • 18. Differen.a.ng in Ac.on        Liz Stamson        Math specialist        Building math coach        White Bear Lake Schools, Minnesota  © 2009 Math Solu.ons 
  • 19. My Differen.a.on Journey  •  Recogni.on that my planning and teaching did  not address high achievers and gined students  •  Inves.ga.on of differen.ated instruc.on  prac.ces that would help me reach all  students  •  Sharing enthusiasm and success with fellow  teachers  © 2009 Math Solu.ons 
  • 20. Engaging Our Community of  Educators  •  Team teacher  •  Groups of teachers  •  Forma.on of teachers into a PLC focused on  differen.a.on in math  •  Principal encouraged and funded PD efforts  © 2009 Math Solu.ons 
  • 21. Trying Different Strategies  •  Tiered lessons    three or more levels to a lesson  •  Think Tac Toe    different levels of tasks and different learning     styles  © 2009 Math Solu.ons 
  • 22. Trying Different Strategies   •  Asking  ques.ons that require more thought  than a yes/no ques.on  How did you solve the problem?  How is your strategy like ______’s strategy?  Why does your strategy work?  Do you think your strategy will always work?  © 2009 Math Solu.ons 
  • 23. Trying Different Strategies  •  Open Tasks  Closed Task…typically has one answer        3 n.                      10 n.  Open Task…has more than one answer  The area of a garden is 48 square feet. What does it look like?  © 2009 Math Solu.ons 
  • 24. RAFT  From Math for All: Differentiating Instruction, Grades 3–5 by Linda Dacey and Jayne Bamford Lynch. © 2007 Math Solutions Publications. © 2009 Math Solu.ons 
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  • 28. Ques.on & Answer        Pa@y Clark, Moderator          Educa.on Consultant          Math Solu.ons                Jayne Bamford Lynch           Na.onal Faculty Lesley University           District math coach K‐8, Cambridge, Massachuse@s           Author Math For All: Differen1a1ng Instruc1on, Grades 3‐5        Liz Stamson            Math specialist            Building math coach            White Bear Lake Schools, Minnesota  © 2009 Math Solu.ons 
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