SlideShare a Scribd company logo
Technology + Singapore Strategies
        = Number Sense
                          Cassy Turner
                            Lauri Susi
Jerome Bruner:
enactive     iconic          symbolic


Singapore Math:
concrete         pictorial
abstract
Singapore Teaching Model



 Transferring                                     Understandi
 •Applying
  understanding                                   ng
                                                    •Initiating
                          Assessin                  •Abstracting
                                                    •Schematizing
                          g

                      Consolidating
                      • Recall with speed & accuracy

                 Source: Teaching primary school mathematics: A resource book (2009)
Concrete


            ?
Pictorial
                7+3=
                Abstract
Concrete
Technology + Singapore Math = Number Sense
Technology + Singapore Math = Number Sense
Pictorial
                              ?


10:15 am 11:00 12:00   2:00
               noon    pm
Technology + Singapore Math = Number Sense
7+5=?
Interactive Ten Frames


Illuminations
Ten Frames
ipad Ten Frame Tools:
               10 Frame Fill
               by Classroom
               Focused
               Software
ipad Ten Frame Tools:
                 Friends of
                 Ten
                 by Little
                 Monkey
                 Apps
Conceptua Math
Identify Fractions Tool




  Support C-P-A sequence of instruction

  Supports composing and decomposing numbers

  Multiple visual representations

  Provides context, models and numbers

  Supports teachers and students
Technology + Singapore Math = Number Sense
Technology + Singapore Math = Number Sense
Technology + Singapore Math = Number Sense
Technology + Singapore Math = Number Sense
Conceptua Math Fraction Tools



 Add Fractions with Common Denominators

 Subtract Fractions with Common Denominators

 Add Fractions with Uncommon Denominators

 Subtract Fractions with Uncommon Denominators

 Pattern Blocks
Technology + Singapore Math = Number Sense
236 + 86
hundreds    tens                ones
             10   10   10
 100   100                  1   1   1   1   1

                            1




             10   10
                            1   1   1   1   1
             10   10
                            1
             10   10

             10

             10
236 + 86
hundreds    tens                ones
             10   10   10
 100   100                  1   1   1   1   1
             10
                            1   1   1   1   1




             10   10
                            1
             10   10
                            1
             10   10

             10

             10
236 + 86
hundreds    tens                ones
             10   10   10   1
 100   100
             10             1




             10   10

             10   10

             10

             10
                  10
                                 2
             10
236 + 86
hundreds    tens                ones
                  10   10   1
 100   100
                            1
 100




             10   10

             10   10



       3     10

             10
                   2
                  10

                  10
                                 2
             10   10
Online Base Ten Tools:
        NLVM Place Value
Online Base Ten Tools:
Online Base Ten Tools:
     Topmarks Place Value
ipad Base Ten Tools:

Base Ten
Number Blocks
by Elementary
Connection
ipad Base Ten Tools:


Hands-On Math
Base Ten Blocks
By Ventura
Educational
Systems
ipad Base Ten Tools:


Stamp Game
By MontessoriTech
36
 36 x 3               X3
30   6                 18
                       90
                      108

 (30 x 3) + (6 x 3)
hundred    tens                   ones
   s      10   10   10
                          1        1       1


                          1        1       1




                              1        1       1
          10   10    10

                              1        1       1




                              1        1       1
          10   10   10

                              1        1       1
hundred    tens                   ones
   s      10   10   10
                          1        1       1


                          1        1       1




                              1        1       1
          10   10    10

                              1        1       1




                              1        1       1
          10   10   10

                              1        1       1
hundred    tens                   ones
   s      10   10   10
                          1        1       1


                          1        1       1
          10


                              1        1       1
          10   10    10

                              1        1       1




                              1        1       1
          10   10   10

                              1        1       1
hundred    tens               ones
   s
 100
          10   10   10    1    1   1


                          1    1   1
          10


                                   1
          10   10    10

                                   1




          10   10   10
53 ÷ 2= ?
                                     tens
                                       2
10       10       10       10   10
                                     2 53
                                      -4
     1        1        1
                                       1
10           10                    10   10     53 ÷ 2= ?

                                             tens ones
1        1        1        1   1               2
1        1        1
                  10       1   1
                                             2 53
                                              -4
     1        1        1
                                               13
10
10       1       1                 1       1

10
                     10                          53 ÷ 2= ?
         1       1             1           1

     1       1            1            1       tens ones
                                                  26 R 1
                                               2 53
     1                                          -4
                                                  13
                                                 -12
                                                   1
Technology + Singapore Math = Number Sense
Conceptua Math Multiply Fraction
Tools




   Multiply to find product of “groups of” items

   Multiply to find product of “part of” a group
Conceptua Math Divide Fraction
Tools




   Partitive: equal shares

   Quotative: measurement

   Provides number line and area models
Conceptua Math




          http://www.conceptuamath.com/fractions.html
Questions
   ?
Contact Us:
cassy@singaporemathsource.c
            om
 lsusi@conceptuamath.com

More Related Content

Viewers also liked

MTAP TL International Convention
MTAP TL International ConventionMTAP TL International Convention
MTAP TL International Convention
Jimmy Keng
 
Intro To Singapore Math
Intro To Singapore MathIntro To Singapore Math
Intro To Singapore Math
Cassandra Turner
 
Singapore Math in the Netherlands Day 3
Singapore Math in the Netherlands Day 3Singapore Math in the Netherlands Day 3
Singapore Math in the Netherlands Day 3
Jimmy Keng
 
Singapore Math Strategies for U.S. Schools
Singapore Math Strategies for U.S. SchoolsSingapore Math Strategies for U.S. Schools
Singapore Math Strategies for U.S. Schools
Jimmy Keng
 
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
John Dewey School for Children
 
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
Jimmy Keng
 
Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated) Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated)
Jimmy Keng
 
Singapore Maths Presentation (Primary 4A Teacher's Guide)
Singapore Maths Presentation (Primary 4A Teacher's Guide)Singapore Maths Presentation (Primary 4A Teacher's Guide)
Singapore Maths Presentation (Primary 4A Teacher's Guide)
Aoxin International School
 
Singapore Math - 6B - Answer Key
Singapore Math - 6B - Answer KeySingapore Math - 6B - Answer Key
Singapore Math - 6B - Answer Key
Irene Linsky
 
Singapore Math - 5A - Workbook
Singapore Math - 5A - WorkbookSingapore Math - 5A - Workbook
Singapore Math - 5A - Workbook
Irene Linsky
 
Singapore Math - 5B - Textbook
Singapore Math -  5B - TextbookSingapore Math -  5B - Textbook
Singapore Math - 5B - Textbook
Irene Linsky
 
Singapore Math - 5B - Answer Keys
Singapore Math - 5B - Answer KeysSingapore Math - 5B - Answer Keys
Singapore Math - 5B - Answer Keys
Irene Linsky
 
Singapore Math - 5A - Textbook
Singapore Math - 5A - TextbookSingapore Math - 5A - Textbook
Singapore Math - 5A - Textbook
Irene Linsky
 
Singapore Math - 5B - Workbook
Singapore Math -  5B - WorkbookSingapore Math -  5B - Workbook
Singapore Math - 5B - Workbook
Irene Linsky
 
Singapore Math - 5A - Answer Keys
Singapore Math - 5A - Answer KeysSingapore Math - 5A - Answer Keys
Singapore Math - 5A - Answer Keys
Irene Linsky
 
Singapore Math - 4B - Workbook
Singapore Math - 4B - WorkbookSingapore Math - 4B - Workbook
Singapore Math - 4B - Workbook
Irene Linsky
 
Singapore Math - 6B - Workbook
Singapore Math - 6B - WorkbookSingapore Math - 6B - Workbook
Singapore Math - 6B - Workbook
Irene Linsky
 

Viewers also liked (17)

MTAP TL International Convention
MTAP TL International ConventionMTAP TL International Convention
MTAP TL International Convention
 
Intro To Singapore Math
Intro To Singapore MathIntro To Singapore Math
Intro To Singapore Math
 
Singapore Math in the Netherlands Day 3
Singapore Math in the Netherlands Day 3Singapore Math in the Netherlands Day 3
Singapore Math in the Netherlands Day 3
 
Singapore Math Strategies for U.S. Schools
Singapore Math Strategies for U.S. SchoolsSingapore Math Strategies for U.S. Schools
Singapore Math Strategies for U.S. Schools
 
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
Singapore Math: Meeting the Needs of the 21st Century Skills in the Context o...
 
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16...
 
Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated) Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated)
 
Singapore Maths Presentation (Primary 4A Teacher's Guide)
Singapore Maths Presentation (Primary 4A Teacher's Guide)Singapore Maths Presentation (Primary 4A Teacher's Guide)
Singapore Maths Presentation (Primary 4A Teacher's Guide)
 
Singapore Math - 6B - Answer Key
Singapore Math - 6B - Answer KeySingapore Math - 6B - Answer Key
Singapore Math - 6B - Answer Key
 
Singapore Math - 5A - Workbook
Singapore Math - 5A - WorkbookSingapore Math - 5A - Workbook
Singapore Math - 5A - Workbook
 
Singapore Math - 5B - Textbook
Singapore Math -  5B - TextbookSingapore Math -  5B - Textbook
Singapore Math - 5B - Textbook
 
Singapore Math - 5B - Answer Keys
Singapore Math - 5B - Answer KeysSingapore Math - 5B - Answer Keys
Singapore Math - 5B - Answer Keys
 
Singapore Math - 5A - Textbook
Singapore Math - 5A - TextbookSingapore Math - 5A - Textbook
Singapore Math - 5A - Textbook
 
Singapore Math - 5B - Workbook
Singapore Math -  5B - WorkbookSingapore Math -  5B - Workbook
Singapore Math - 5B - Workbook
 
Singapore Math - 5A - Answer Keys
Singapore Math - 5A - Answer KeysSingapore Math - 5A - Answer Keys
Singapore Math - 5A - Answer Keys
 
Singapore Math - 4B - Workbook
Singapore Math - 4B - WorkbookSingapore Math - 4B - Workbook
Singapore Math - 4B - Workbook
 
Singapore Math - 6B - Workbook
Singapore Math - 6B - WorkbookSingapore Math - 6B - Workbook
Singapore Math - 6B - Workbook
 

Recently uploaded

E-learning Odoo 17 New features - Odoo 17 Slides
E-learning Odoo 17  New features - Odoo 17 SlidesE-learning Odoo 17  New features - Odoo 17 Slides
E-learning Odoo 17 New features - Odoo 17 Slides
Celine George
 
V2-NLC-Certificate-of-Completion_Learner.docx
V2-NLC-Certificate-of-Completion_Learner.docxV2-NLC-Certificate-of-Completion_Learner.docx
V2-NLC-Certificate-of-Completion_Learner.docx
302491
 
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdfPRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
nservice241
 
View Inheritance in Odoo 17 - Odoo 17 Slides
View Inheritance in Odoo 17 - Odoo 17  SlidesView Inheritance in Odoo 17 - Odoo 17  Slides
View Inheritance in Odoo 17 - Odoo 17 Slides
Celine George
 
DepEd School Calendar 2024-2025 DO_s2024_008
DepEd School Calendar 2024-2025 DO_s2024_008DepEd School Calendar 2024-2025 DO_s2024_008
DepEd School Calendar 2024-2025 DO_s2024_008
Glenn Rivera
 
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptxSD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
elwoodprias1
 
Odoo 17 Events - Attendees List Scanning
Odoo 17 Events - Attendees List ScanningOdoo 17 Events - Attendees List Scanning
Odoo 17 Events - Attendees List Scanning
Celine George
 
INSIDE OUT - PowerPoint Presentation.pptx
INSIDE OUT - PowerPoint Presentation.pptxINSIDE OUT - PowerPoint Presentation.pptx
INSIDE OUT - PowerPoint Presentation.pptx
RODELAZARES3
 
1. Importance_of_reducing_postharvest_loss.pptx
1. Importance_of_reducing_postharvest_loss.pptx1. Importance_of_reducing_postharvest_loss.pptx
1. Importance_of_reducing_postharvest_loss.pptx
UmeshTimilsina1
 
ASP.NET Core Interview Questions PDF By ScholarHat.pdf
ASP.NET Core Interview Questions PDF By ScholarHat.pdfASP.NET Core Interview Questions PDF By ScholarHat.pdf
ASP.NET Core Interview Questions PDF By ScholarHat.pdf
Scholarhat
 
FINAL MATATAG Science CG 2023 Grades 3-10.pdf
FINAL MATATAG Science CG 2023 Grades 3-10.pdfFINAL MATATAG Science CG 2023 Grades 3-10.pdf
FINAL MATATAG Science CG 2023 Grades 3-10.pdf
maritescanete2
 
2024 Winter SWAYAM NPTEL & A Student.pptx
2024 Winter SWAYAM NPTEL & A Student.pptx2024 Winter SWAYAM NPTEL & A Student.pptx
2024 Winter SWAYAM NPTEL & A Student.pptx
Utsav Yagnik
 
Open and Critical Perspectives on AI in Education
Open and Critical Perspectives on AI in EducationOpen and Critical Perspectives on AI in Education
Open and Critical Perspectives on AI in Education
Robert Farrow
 
7. Post Harvest Entomology and their control.pptx
7. Post Harvest Entomology and their control.pptx7. Post Harvest Entomology and their control.pptx
7. Post Harvest Entomology and their control.pptx
UmeshTimilsina1
 
RDBMS Lecture Notes Unit4 chapter12 VIEW
RDBMS Lecture Notes Unit4 chapter12 VIEWRDBMS Lecture Notes Unit4 chapter12 VIEW
RDBMS Lecture Notes Unit4 chapter12 VIEW
Murugan Solaiyappan
 
Open Source and AI - ByWater Closing Keynote Presentation.pdf
Open Source and AI - ByWater Closing Keynote Presentation.pdfOpen Source and AI - ByWater Closing Keynote Presentation.pdf
Open Source and AI - ByWater Closing Keynote Presentation.pdf
Jessica Zairo
 
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
Alvaro Barbosa
 
11. Post harvest quality, Quality criteria and Judgement.pptx
11. Post harvest quality, Quality criteria and Judgement.pptx11. Post harvest quality, Quality criteria and Judgement.pptx
11. Post harvest quality, Quality criteria and Judgement.pptx
UmeshTimilsina1
 
Lecture Notes Unit4 Chapter13 users , roles and privileges
Lecture Notes Unit4 Chapter13 users , roles and privilegesLecture Notes Unit4 Chapter13 users , roles and privileges
Lecture Notes Unit4 Chapter13 users , roles and privileges
Murugan146644
 
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
Nguyen Thanh Tu Collection
 

Recently uploaded (20)

E-learning Odoo 17 New features - Odoo 17 Slides
E-learning Odoo 17  New features - Odoo 17 SlidesE-learning Odoo 17  New features - Odoo 17 Slides
E-learning Odoo 17 New features - Odoo 17 Slides
 
V2-NLC-Certificate-of-Completion_Learner.docx
V2-NLC-Certificate-of-Completion_Learner.docxV2-NLC-Certificate-of-Completion_Learner.docx
V2-NLC-Certificate-of-Completion_Learner.docx
 
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdfPRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
PRESS RELEASE - UNIVERSITY OF GHANA, JULY 16, 2024.pdf
 
View Inheritance in Odoo 17 - Odoo 17 Slides
View Inheritance in Odoo 17 - Odoo 17  SlidesView Inheritance in Odoo 17 - Odoo 17  Slides
View Inheritance in Odoo 17 - Odoo 17 Slides
 
DepEd School Calendar 2024-2025 DO_s2024_008
DepEd School Calendar 2024-2025 DO_s2024_008DepEd School Calendar 2024-2025 DO_s2024_008
DepEd School Calendar 2024-2025 DO_s2024_008
 
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptxSD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx
 
Odoo 17 Events - Attendees List Scanning
Odoo 17 Events - Attendees List ScanningOdoo 17 Events - Attendees List Scanning
Odoo 17 Events - Attendees List Scanning
 
INSIDE OUT - PowerPoint Presentation.pptx
INSIDE OUT - PowerPoint Presentation.pptxINSIDE OUT - PowerPoint Presentation.pptx
INSIDE OUT - PowerPoint Presentation.pptx
 
1. Importance_of_reducing_postharvest_loss.pptx
1. Importance_of_reducing_postharvest_loss.pptx1. Importance_of_reducing_postharvest_loss.pptx
1. Importance_of_reducing_postharvest_loss.pptx
 
ASP.NET Core Interview Questions PDF By ScholarHat.pdf
ASP.NET Core Interview Questions PDF By ScholarHat.pdfASP.NET Core Interview Questions PDF By ScholarHat.pdf
ASP.NET Core Interview Questions PDF By ScholarHat.pdf
 
FINAL MATATAG Science CG 2023 Grades 3-10.pdf
FINAL MATATAG Science CG 2023 Grades 3-10.pdfFINAL MATATAG Science CG 2023 Grades 3-10.pdf
FINAL MATATAG Science CG 2023 Grades 3-10.pdf
 
2024 Winter SWAYAM NPTEL & A Student.pptx
2024 Winter SWAYAM NPTEL & A Student.pptx2024 Winter SWAYAM NPTEL & A Student.pptx
2024 Winter SWAYAM NPTEL & A Student.pptx
 
Open and Critical Perspectives on AI in Education
Open and Critical Perspectives on AI in EducationOpen and Critical Perspectives on AI in Education
Open and Critical Perspectives on AI in Education
 
7. Post Harvest Entomology and their control.pptx
7. Post Harvest Entomology and their control.pptx7. Post Harvest Entomology and their control.pptx
7. Post Harvest Entomology and their control.pptx
 
RDBMS Lecture Notes Unit4 chapter12 VIEW
RDBMS Lecture Notes Unit4 chapter12 VIEWRDBMS Lecture Notes Unit4 chapter12 VIEW
RDBMS Lecture Notes Unit4 chapter12 VIEW
 
Open Source and AI - ByWater Closing Keynote Presentation.pdf
Open Source and AI - ByWater Closing Keynote Presentation.pdfOpen Source and AI - ByWater Closing Keynote Presentation.pdf
Open Source and AI - ByWater Closing Keynote Presentation.pdf
 
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
Benchmarking Sustainability: Neurosciences and AI Tech Research in Macau - Ke...
 
11. Post harvest quality, Quality criteria and Judgement.pptx
11. Post harvest quality, Quality criteria and Judgement.pptx11. Post harvest quality, Quality criteria and Judgement.pptx
11. Post harvest quality, Quality criteria and Judgement.pptx
 
Lecture Notes Unit4 Chapter13 users , roles and privileges
Lecture Notes Unit4 Chapter13 users , roles and privilegesLecture Notes Unit4 Chapter13 users , roles and privileges
Lecture Notes Unit4 Chapter13 users , roles and privileges
 
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
BÀI TẬP BỔ TRỢ 4 KỸ NĂNG TIẾNG ANH LỚP 12 - GLOBAL SUCCESS - FORM MỚI 2025 - ...
 

Technology + Singapore Math = Number Sense

  • 1. Technology + Singapore Strategies = Number Sense Cassy Turner Lauri Susi
  • 2. Jerome Bruner: enactive iconic symbolic Singapore Math: concrete pictorial abstract
  • 3. Singapore Teaching Model Transferring Understandi •Applying understanding ng •Initiating Assessin •Abstracting •Schematizing g Consolidating • Recall with speed & accuracy Source: Teaching primary school mathematics: A resource book (2009)
  • 4. Concrete ? Pictorial 7+3= Abstract
  • 8. Pictorial ? 10:15 am 11:00 12:00 2:00 noon pm
  • 10. 7+5=?
  • 12. ipad Ten Frame Tools: 10 Frame Fill by Classroom Focused Software
  • 13. ipad Ten Frame Tools: Friends of Ten by Little Monkey Apps
  • 14. Conceptua Math Identify Fractions Tool  Support C-P-A sequence of instruction  Supports composing and decomposing numbers  Multiple visual representations  Provides context, models and numbers  Supports teachers and students
  • 19. Conceptua Math Fraction Tools  Add Fractions with Common Denominators  Subtract Fractions with Common Denominators  Add Fractions with Uncommon Denominators  Subtract Fractions with Uncommon Denominators  Pattern Blocks
  • 21. 236 + 86 hundreds tens ones 10 10 10 100 100 1 1 1 1 1 1 10 10 1 1 1 1 1 10 10 1 10 10 10 10
  • 22. 236 + 86 hundreds tens ones 10 10 10 100 100 1 1 1 1 1 10 1 1 1 1 1 10 10 1 10 10 1 10 10 10 10
  • 23. 236 + 86 hundreds tens ones 10 10 10 1 100 100 10 1 10 10 10 10 10 10 10 2 10
  • 24. 236 + 86 hundreds tens ones 10 10 1 100 100 1 100 10 10 10 10 3 10 10 2 10 10 2 10 10
  • 25. Online Base Ten Tools: NLVM Place Value
  • 26. Online Base Ten Tools:
  • 27. Online Base Ten Tools: Topmarks Place Value
  • 28. ipad Base Ten Tools: Base Ten Number Blocks by Elementary Connection
  • 29. ipad Base Ten Tools: Hands-On Math Base Ten Blocks By Ventura Educational Systems
  • 30. ipad Base Ten Tools: Stamp Game By MontessoriTech
  • 31. 36 36 x 3 X3 30 6 18 90 108 (30 x 3) + (6 x 3)
  • 32. hundred tens ones s 10 10 10 1 1 1 1 1 1 1 1 1 10 10 10 1 1 1 1 1 1 10 10 10 1 1 1
  • 33. hundred tens ones s 10 10 10 1 1 1 1 1 1 1 1 1 10 10 10 1 1 1 1 1 1 10 10 10 1 1 1
  • 34. hundred tens ones s 10 10 10 1 1 1 1 1 1 10 1 1 1 10 10 10 1 1 1 1 1 1 10 10 10 1 1 1
  • 35. hundred tens ones s 100 10 10 10 1 1 1 1 1 1 10 1 10 10 10 1 10 10 10
  • 36. 53 ÷ 2= ? tens 2 10 10 10 10 10 2 53 -4 1 1 1 1
  • 37. 10 10 10 10 53 ÷ 2= ? tens ones 1 1 1 1 1 2 1 1 1 10 1 1 2 53 -4 1 1 1 13
  • 38. 10 10 1 1 1 1 10 10 53 ÷ 2= ? 1 1 1 1 1 1 1 1 tens ones 26 R 1 2 53 1 -4 13 -12 1
  • 40. Conceptua Math Multiply Fraction Tools  Multiply to find product of “groups of” items  Multiply to find product of “part of” a group
  • 41. Conceptua Math Divide Fraction Tools  Partitive: equal shares  Quotative: measurement  Provides number line and area models
  • 42. Conceptua Math http://www.conceptuamath.com/fractions.html
  • 44. Contact Us: cassy@singaporemathsource.c om lsusi@conceptuamath.com

Editor's Notes

  1. The semiconcrete level is a representation of a real situation; pictures of the real items are used rather than the items themselves. The semiabstract level involves a symbolic representation of concrete items, but the pictures do not look like the objects for which they stand. (Heddens, 1986, p.14) 
  2. Most apps and web sites focus on Consolidating or practicing a skill. Today we’ll look at some that focus on helping students understand a skill
  3. Visualization AND ConnectionsLearning is an active process and students go through three stages.NCTM & Jerome Bruner.Concrete & Pictorial are the BRIDGE to abstract.
  4. NCTM refers to thi as “iconic”
  5. Making 10 strategy useful for students who know 1-10 facts, but struggle with addition & subtraction facts through 20
  6. http://illuminations.nctm.org/activitydetail.aspx?id=75
  7. http://itunes.apple.com/us/app/10-frame-fill/id418083871?mt=8
  8. http://itunes.apple.com/us/app/friends-of-ten/id488573871?mt=8
  9. Students can use base ten materials at their desks.
  10. http://exchange.smarttech.com/details.html?id=8cd88c08-522c-4984-bf99-c01f9dd49ba3 For SMART boards
  11. http://www.topmarks.co.uk/Flash.aspx?f=diennesandcoinsv3
  12. http://itunes.apple.com/us/app/base-ten-number-blocks/id474636096?mt=8
  13. http://itunes.apple.com/us/app/hands-on-math-base-ten-blocks/id477991440?mt=8
  14. http://itunes.apple.com/us/app/stamp-game/id389994166?mt=8
  15. How do these concept apply at 3rd grade?