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(For kids with learning difficulties)
better check   yourself
How do we treat math?




                        Presented by: Brent Daigle, Ph.D.
nctm   goals
Grade bands
   [k-2, 3-5, 6-8, 9-12]




                              Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                                         nctm   goals
                        1st   to codify standards




                                            Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                          nctm   goals
1st to codify standards



   Become math problem solver




                             Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                                    nctm   goals
1st to codify standards
Become math problem solver



                        Learn to value math




                                       Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                             nctm   goals
1st to codify standards
Become math problem solver
Learn to value math


     Learn to reason mathematically




                                Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                                    nctm   goals
1st to codify standards
Become math problem solver
Learn to value math
Learn to reason mathematically


                        Confidence in math




                                       Presented by: Brent Daigle, Ph.D.
Grade bands
[k-2, 3-5, 6-8, 9-12]
                                 nctm   goals
1st to codify standards
Become math problem solver
Learn to value math
Learn to reason mathematically
Confidence in math


         Communicate mathematically




                                    Presented by: Brent Daigle, Ph.D.
Nctm guiding   principles
      Equity




                   Presented by: Brent Daigle, Ph.D.
Equity
               Nctm guiding   principles
Curriculum




             Effective teaching




                                  Presented by: Brent Daigle, Ph.D.
Equity
Curriculum
                     Nctm guiding   principles
Effective teaching



                         Learning




                                        Presented by: Brent Daigle, Ph.D.
Equity
Curriculum
                     Nctm guiding   principles
Effective teaching
Learning



                      assessment




                                        Presented by: Brent Daigle, Ph.D.
Equity
                     Nctm guiding   principles
Curriculum
Effective teaching
Learning
Assessment


       Primacy of technology




                                        Presented by: Brent Daigle, Ph.D.
LD math   challenges
 attention




              Presented by: Brent Daigle, Ph.D.
LD math   challenges
Communication disorders




                    Presented by: Brent Daigle, Ph.D.
LD math   challenges
 memory




              Presented by: Brent Daigle, Ph.D.
LD math   challenges
Organizational skills




                  Presented by: Brent Daigle, Ph.D.
LD math   challenges
Processing difficulties




                   Presented by: Brent Daigle, Ph.D.
LD math   challenges
                                    conceptual

           5   1
          ─=─
          10   2
                                      =
           0.5

Presented by: Brent Daigle, Ph.D.
LD math
Teaching strategy
                         challenges
                Explain it
                 Show it
                  Do it
math   strategies
manipulatives
math   strategies
manipulatives



  Improved attitude toward math




Presented by: Brent Daigle, Ph.D.
math   strategies
manipulatives
Improved attitude toward math




         Meaningful notation system




Presented by: Brent Daigle, Ph.D.
math   strategies
manipulatives
Improved attitude toward math
Meaningful notation system




    Increased concept development




Presented by: Brent Daigle, Ph.D.
math   strategies
manipulatives
Improved attitude toward math
Meaningful notation system
Increased concept development



                     Long –term use is best !




Presented by: Brent Daigle, Ph.D.
math   strategies
Manipulatives (challenges)


                                    Teacher trust




Presented by: Brent Daigle, Ph.D.
math   strategies
Manipulatives (challenges)
Teacher trust




            Class limitations : schedule




Presented by: Brent Daigle, Ph.D.
math   strategies
Manipulatives (challenges)
Teacher trust
Class limitations : schedule




            Dominance of text lessons




Presented by: Brent Daigle, Ph.D.
math   strategies
Manipulatives (challenges)
Teacher trust
Class limitations : schedule
Dominance of text lessons



           Trust self over manipulative




Presented by: Brent Daigle, Ph.D.
math   strategies
Manipulatives (challenges)
Teacher trust
Class limitations : schedule
Dominance of text lessons
Trust self over manipulative



Study: elementary daily
                   ce
       secondary 1 monthly



Presented by: Brent Daigle, Ph.D.
math      strategies
Concrete   (intro with concrete objects)



                      csa
 Semi-concrete               (pictorial representation)



            Abstract                           (use # instead of pictorial)




                                                 Presented by: Brent Daigle, Ph.D.
math
              T
                    strategies
              r
              a
              n
              s
              l
              a


            S.T.A.R.
            e e     n   e
            a       s   v
Search      r       w   i
Translate
            c       e   e
Answer
Review      h       r   w
                            Presented by: Brent Daigle, Ph.D.
math   strategies
 Cue cards – to follow steps

Metacognitive strategies



                      Presented by: Brent Daigle, Ph.D.
math   strategies
Structured worksheet - organization

Metacognitive strategies




                         Presented by: Brent Daigle, Ph.D.
math   strategies
Questions – to serve as prompts

Metacognitive strategies



                       Presented by: Brent Daigle, Ph.D.
math   strategies
Computer assisted instruction




                      Presented by: Brent Daigle, Ph.D.
math   strategies



Direct Instruction
math   strategies
  Corrective feedback
Pattern or evidence of strategy




                       Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                  math   strategies
             Corrective feedback
         Meet as a group/individually




                                             Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                  math   strategies
Meet as a group/individually



             Corrective feedback
           Positive (praise) statements




                                             Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                  math   strategies
Meet as a group/individually
Positive (praise) statements



              Corrective feedback
                   Specify error patterns




                                             Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                  math   strategies
Meet as a group/individually
Positive (praise) statements
Specify error patterns


                               Corrective feedback
         Show how to complete with strategy




                                             Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                     math   strategies
Meet as a group/individually
Positive (praise) statements
Specify error patterns
Show how to complete with strategy



              Corrective feedback
           Opportunity on similar problem
                (guided practice)



                                                Presented by: Brent Daigle, Ph.D.
Pattern or evidence of strategy
                                     math   strategies
                                               Opportunity on similar problem
Meet as a group/individually
                                                           (guided practice)
Positive (praise) statements
Specify error patterns
Show how to complete with strategy



              Corrective feedback
                     End on a positive note




                                                    Presented by: Brent Daigle, Ph.D.
final   thoughts



simplify
simplify
                     final   thoughts




Direct instruction
simplify
                                    final   thoughts
Direct instruction



        Physical & pictorial model




Presented by: Brent Daigle, Ph.D.
simplify
                                    final   thoughts
Direct instruction
Physical & pictorial model




                 Think aloud strategies




Presented by: Brent Daigle, Ph.D.
simplify
                             final   thoughts
                                        Think aloud strategies
Direct instruction
Physical & pictorial model




Allotted time
simplify
                                    final   thoughts
                                               Think aloud strategies
Direct instruction
                                                       Allotted time
Physical & pictorial model




                          Relate to real life




Presented by: Brent Daigle, Ph.D.
simplify
                                    final   thoughts
                                               Think aloud strategies
Direct instruction
                                                        Allotted time
Physical & pictorial model                          Relate to real life



                  Let students practice




Presented by: Brent Daigle, Ph.D.
Presented by: Brent Daigle, Ph.D.

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Math for students with learning difficulties

  • 1. (For kids with learning difficulties)
  • 2. better check yourself How do we treat math? Presented by: Brent Daigle, Ph.D.
  • 3. nctm goals Grade bands [k-2, 3-5, 6-8, 9-12] Presented by: Brent Daigle, Ph.D.
  • 4. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Presented by: Brent Daigle, Ph.D.
  • 5. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Become math problem solver Presented by: Brent Daigle, Ph.D.
  • 6. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Become math problem solver Learn to value math Presented by: Brent Daigle, Ph.D.
  • 7. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Become math problem solver Learn to value math Learn to reason mathematically Presented by: Brent Daigle, Ph.D.
  • 8. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Become math problem solver Learn to value math Learn to reason mathematically Confidence in math Presented by: Brent Daigle, Ph.D.
  • 9. Grade bands [k-2, 3-5, 6-8, 9-12] nctm goals 1st to codify standards Become math problem solver Learn to value math Learn to reason mathematically Confidence in math Communicate mathematically Presented by: Brent Daigle, Ph.D.
  • 10. Nctm guiding principles Equity Presented by: Brent Daigle, Ph.D.
  • 11. Equity Nctm guiding principles Curriculum Effective teaching Presented by: Brent Daigle, Ph.D.
  • 12. Equity Curriculum Nctm guiding principles Effective teaching Learning Presented by: Brent Daigle, Ph.D.
  • 13. Equity Curriculum Nctm guiding principles Effective teaching Learning assessment Presented by: Brent Daigle, Ph.D.
  • 14. Equity Nctm guiding principles Curriculum Effective teaching Learning Assessment Primacy of technology Presented by: Brent Daigle, Ph.D.
  • 15. LD math challenges attention Presented by: Brent Daigle, Ph.D.
  • 16. LD math challenges Communication disorders Presented by: Brent Daigle, Ph.D.
  • 17. LD math challenges memory Presented by: Brent Daigle, Ph.D.
  • 18. LD math challenges Organizational skills Presented by: Brent Daigle, Ph.D.
  • 19. LD math challenges Processing difficulties Presented by: Brent Daigle, Ph.D.
  • 20. LD math challenges conceptual 5 1 ─=─ 10 2 = 0.5 Presented by: Brent Daigle, Ph.D.
  • 21. LD math Teaching strategy challenges Explain it Show it Do it
  • 22. math strategies manipulatives
  • 23. math strategies manipulatives Improved attitude toward math Presented by: Brent Daigle, Ph.D.
  • 24. math strategies manipulatives Improved attitude toward math Meaningful notation system Presented by: Brent Daigle, Ph.D.
  • 25. math strategies manipulatives Improved attitude toward math Meaningful notation system Increased concept development Presented by: Brent Daigle, Ph.D.
  • 26. math strategies manipulatives Improved attitude toward math Meaningful notation system Increased concept development Long –term use is best ! Presented by: Brent Daigle, Ph.D.
  • 27. math strategies Manipulatives (challenges) Teacher trust Presented by: Brent Daigle, Ph.D.
  • 28. math strategies Manipulatives (challenges) Teacher trust Class limitations : schedule Presented by: Brent Daigle, Ph.D.
  • 29. math strategies Manipulatives (challenges) Teacher trust Class limitations : schedule Dominance of text lessons Presented by: Brent Daigle, Ph.D.
  • 30. math strategies Manipulatives (challenges) Teacher trust Class limitations : schedule Dominance of text lessons Trust self over manipulative Presented by: Brent Daigle, Ph.D.
  • 31. math strategies Manipulatives (challenges) Teacher trust Class limitations : schedule Dominance of text lessons Trust self over manipulative Study: elementary daily ce secondary 1 monthly Presented by: Brent Daigle, Ph.D.
  • 32. math strategies Concrete (intro with concrete objects) csa Semi-concrete (pictorial representation) Abstract (use # instead of pictorial) Presented by: Brent Daigle, Ph.D.
  • 33. math T strategies r a n s l a S.T.A.R. e e n e a s v Search r w i Translate c e e Answer Review h r w Presented by: Brent Daigle, Ph.D.
  • 34. math strategies Cue cards – to follow steps Metacognitive strategies Presented by: Brent Daigle, Ph.D.
  • 35. math strategies Structured worksheet - organization Metacognitive strategies Presented by: Brent Daigle, Ph.D.
  • 36. math strategies Questions – to serve as prompts Metacognitive strategies Presented by: Brent Daigle, Ph.D.
  • 37. math strategies Computer assisted instruction Presented by: Brent Daigle, Ph.D.
  • 38. math strategies Direct Instruction
  • 39. math strategies Corrective feedback Pattern or evidence of strategy Presented by: Brent Daigle, Ph.D.
  • 40. Pattern or evidence of strategy math strategies Corrective feedback Meet as a group/individually Presented by: Brent Daigle, Ph.D.
  • 41. Pattern or evidence of strategy math strategies Meet as a group/individually Corrective feedback Positive (praise) statements Presented by: Brent Daigle, Ph.D.
  • 42. Pattern or evidence of strategy math strategies Meet as a group/individually Positive (praise) statements Corrective feedback Specify error patterns Presented by: Brent Daigle, Ph.D.
  • 43. Pattern or evidence of strategy math strategies Meet as a group/individually Positive (praise) statements Specify error patterns Corrective feedback Show how to complete with strategy Presented by: Brent Daigle, Ph.D.
  • 44. Pattern or evidence of strategy math strategies Meet as a group/individually Positive (praise) statements Specify error patterns Show how to complete with strategy Corrective feedback Opportunity on similar problem (guided practice) Presented by: Brent Daigle, Ph.D.
  • 45. Pattern or evidence of strategy math strategies Opportunity on similar problem Meet as a group/individually (guided practice) Positive (praise) statements Specify error patterns Show how to complete with strategy Corrective feedback End on a positive note Presented by: Brent Daigle, Ph.D.
  • 46. final thoughts simplify
  • 47. simplify final thoughts Direct instruction
  • 48. simplify final thoughts Direct instruction Physical & pictorial model Presented by: Brent Daigle, Ph.D.
  • 49. simplify final thoughts Direct instruction Physical & pictorial model Think aloud strategies Presented by: Brent Daigle, Ph.D.
  • 50. simplify final thoughts Think aloud strategies Direct instruction Physical & pictorial model Allotted time
  • 51. simplify final thoughts Think aloud strategies Direct instruction Allotted time Physical & pictorial model Relate to real life Presented by: Brent Daigle, Ph.D.
  • 52. simplify final thoughts Think aloud strategies Direct instruction Allotted time Physical & pictorial model Relate to real life Let students practice Presented by: Brent Daigle, Ph.D.
  • 53. Presented by: Brent Daigle, Ph.D.