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Is it recess already? Can we do more math?




                                   Corry Stark
                                   Geri Lorway
3 schools
                40 teachers
                600 students




•Geri Lorway,
 Thinking 101
Joan Coy,
AISI Math Coordinator Div 4
Quickdraw
Two Ways


            I could start at 20 + ? = 43.
            That’s 23.
            Or 7 + ? = 14. That’s 7.




This slide made possible through NRLC with funding from
AB ED and collaboration with Thinking 101
2       20                           2   1         4   2



                          50                500                     6        4    8        4



                                        6         9                               9        3

                                                                         2   40

                               30                90                 60       20   18       6



                                                                    1        1    4        4
                                        15 150
                                                                    2        4    5
                                                                         2

                               60             300                            5    20       16
This slide made possible through NRLC with funding from AB ED and
collaboration with Thinking 101
There are 54
                  __ x 2 = 20     500 ÷ 20 = __      50 x __ = 500       50 ÷ 10 = __     10 ÷ 2 = __
meaningful
computations in
                  5 + __ = 25     __ x 2 = 1        1 x __ = 4          6 ÷ 1/2 = __      6 x __ = 4
one page of Two
Ways.
                  2 x __ = 3/4     12 x __ = 4      __ x 4 = 2          2 ÷ 16 = __       8 x __ = 4


                  1/2 x __ = 8     30 ÷ 1 1/2         9 x __ = 90        30 x __ = 90       6 x __ = 3


                  20 x __ = 3       20 x __ = 10      20 ÷ 40 = __       60 x __ = 20       1/2 ÷ 3 = __


                  20 ÷ 40 = 1/2     3 x __ = 1/2      40 ÷ 2 = __         3 x __ = 60       1/6 x 2 = __


                  32 x __ = 4       1/4 ÷1/2 = __      16 x __ = 1       16 ÷ 32 = __         1/8 x 1/2 = __


                  __ x 15 = 150     6 x __ = 2       300 ÷ 60 = __        10 x __ = 60       300 ÷ 150 = __


                  2 ÷ 6 = __       1/2 x __ = 1/4     20 ÷ 1/4 = __          1/2 x 2 = __           5 x __ = 5


                  1/2 x __ = 5        __ x 2 + 20          1/4 __ = 5          4 ÷ 4/5 = __       4/5 x __ = 20


                  16 ÷ 20 =       4 x __ = 16         25 x __ = 4          4/5 ÷ 5 = __
                                                  Courtesy GHWheatley: Coming to Know Number
Reflection
Quiz #1



                                           Project
                                 Test #1
                HW#1




                                                           HW#3
                                                     ICA
       Out of   8      4         20 20               6     10
Tom             5      4         12 16               4     0
Fred            7      4         16        5         2     8
Joan            5      2         12 10               3     8
Bob             8      4         16 11               3     2



                                                                  What do we know
                                                                  about Tom using this
                                                                  type of gradebook?



                                                                                Peter Lilijedhal
                                                                         www.peterlilijedahl.com
√   - correct




                                             Quiz #1
Tom




                                                                 Project
                                                       Test #1
                                      HW#1




                                                                                 HW#3
                                                                                         X - incorrect




                                                                           ICA
                                                                                         O – not attempted
5N1. Represent and describe whole
                                      √ √A √                                     O          - not an outcome
numbers to 1 000 000
                                                                                        covered for this task
5N2. Use the strategy of estimation
by front-ending rounding estimation   X √A √                                     O       A - with assistance
in problem-solving contexts
5N2. Use the strategy of estimation
by compensation in problem-solving
contexts
                                      O √A                                       O
5N2. Use the strategy of estimation
by compatible numbers in problem-
solving contexts
                                             XA √                                O
5N10. Compare and order decimals
(to thousandths)by using benchmarks          O √                           √A O
5SS1. Identify 90⁰ angles.                                                 XA O
Collaboration with peers                     2                   3 3
                                                                                        What do we know about
Risk-Taking                                                                2            Tom using this type of
Perseverence                                           3                   3            gradebook?
                                                                                                        Peter Lilijedhal
                                                                                                 www.peterlilijedahl.com
Go to www.pwsd76.ab.ca
•Quicklinks, Moodle Collaboration, AISI Numeracy Div. 1 &2
How can I
help at home?
”Leaders must be close enough to relate to others,
    but far enough ahead to motivate them.”
                - John Maxwell
After a lesson principals
                                                 may
                                         ask the following:




                                       Whatare you doing to
What outcome or process                deliberately work on
    skill(s) from the                        attitude?                   What can I do to support
  curriculum are you                                                     you in the revised math
      working on?                       On understanding?                 curriculum before my
 What concerns do you                   On number sense?                        next visit?
have as you work on it?                   How is it going?


          lecture, lecture, lecture

                               textbook as only resource            Do not reproduce without permission –
                                                                  Jackie Ratkovic – stojack@telusplanet.net
                                                                    Geri Lorway – glorway@telusplanet.net
•Geri Lorway,
 Thinking 101
Build

Explain

Represent

Compare

Synthesize

Self - Assess   ©Geri Lorway,
                Thinking 101
-
    •Video

-
    •Feedback Surveys

-
    •Word Problems
Starting Point             1
                     Something on
                        paper
Represented                1                     2                       3
Thinking           Has shown some           Mathematics      Mathematical thinking
                   sort of thinking      evident in thinking   is at grade level

The Answer                 1                     2                       3
                    Has an answer        Accurate answer,         Accurate answer,
                                                                    Shows proof,
                                           Makes sense           More than one way,

Created/solved a           1
similiar problem   Attempted to create
                      and/or solve a
                    similiar problem
What mark would
                                     you give for this
                                     solution?


Where is the
answer?

                                     1
               Starting Point   Something on
                                   Paper
                                      1                 2             3
                Represented      Has shown        Mathematics   Mathematical
                 Thinking       some sort or       evident in   thinking is at
                                  thinking          thinking     grade level
                                                                       3
                                                      2             Accurate
                                      1            Accurate     answer, shows
                The Answer
                                Has an answer      answer,       proof, more
                                                  makes sense   than one way,
                                                                all possibilities
                                       1
               Created/solved   Attempted to
                  a similar     create and/or
                  problem       solve a similar
                                   problem




                                                            Grade 5
And...another problem
Grade 1
September
Grade 1
June


And…….
Grade 1
September
Grade 1
June
80        67                  66
                    62
                                                            58
                                        51        54
60                                                     48
     44        44        43                  41
                                   40
                                                                  Beg
40
                                                                  End
20

0
     1         2         3         4         5         6
                                                     Average     Average   End
                                   Grade          Beginning Mark      Mark       Increase
                                       1               44 %          67 %         23%
                                       2               44 %          62 %         18%
                                       3               43 %          66 %         23%
                                       4               40 %          51 %         10%
                                       5               41 %          54 %         13%
                                       6               48 %          58 %         10%
~Author Unknown
Aisi Conference Presentation 2011
Aisi Conference Presentation 2011

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Aisi Conference Presentation 2011

  • 1. Is it recess already? Can we do more math? Corry Stark Geri Lorway
  • 2.
  • 3. 3 schools 40 teachers 600 students •Geri Lorway, Thinking 101
  • 4. Joan Coy, AISI Math Coordinator Div 4
  • 5.
  • 7. Two Ways I could start at 20 + ? = 43. That’s 23. Or 7 + ? = 14. That’s 7. This slide made possible through NRLC with funding from AB ED and collaboration with Thinking 101
  • 8. 2 20 2 1 4 2 50 500 6 4 8 4 6 9 9 3 2 40 30 90 60 20 18 6 1 1 4 4 15 150 2 4 5 2 60 300 5 20 16 This slide made possible through NRLC with funding from AB ED and collaboration with Thinking 101
  • 9. There are 54 __ x 2 = 20 500 ÷ 20 = __ 50 x __ = 500 50 ÷ 10 = __ 10 ÷ 2 = __ meaningful computations in 5 + __ = 25 __ x 2 = 1 1 x __ = 4 6 ÷ 1/2 = __ 6 x __ = 4 one page of Two Ways. 2 x __ = 3/4 12 x __ = 4 __ x 4 = 2 2 ÷ 16 = __ 8 x __ = 4 1/2 x __ = 8 30 ÷ 1 1/2 9 x __ = 90 30 x __ = 90 6 x __ = 3 20 x __ = 3 20 x __ = 10 20 ÷ 40 = __ 60 x __ = 20 1/2 ÷ 3 = __ 20 ÷ 40 = 1/2 3 x __ = 1/2 40 ÷ 2 = __ 3 x __ = 60 1/6 x 2 = __ 32 x __ = 4 1/4 ÷1/2 = __ 16 x __ = 1 16 ÷ 32 = __ 1/8 x 1/2 = __ __ x 15 = 150 6 x __ = 2 300 ÷ 60 = __ 10 x __ = 60 300 ÷ 150 = __ 2 ÷ 6 = __ 1/2 x __ = 1/4 20 ÷ 1/4 = __ 1/2 x 2 = __ 5 x __ = 5 1/2 x __ = 5 __ x 2 + 20 1/4 __ = 5 4 ÷ 4/5 = __ 4/5 x __ = 20 16 ÷ 20 = 4 x __ = 16 25 x __ = 4 4/5 ÷ 5 = __ Courtesy GHWheatley: Coming to Know Number
  • 10.
  • 12. Quiz #1 Project Test #1 HW#1 HW#3 ICA Out of 8 4 20 20 6 10 Tom 5 4 12 16 4 0 Fred 7 4 16 5 2 8 Joan 5 2 12 10 3 8 Bob 8 4 16 11 3 2 What do we know about Tom using this type of gradebook? Peter Lilijedhal www.peterlilijedahl.com
  • 13. - correct Quiz #1 Tom Project Test #1 HW#1 HW#3 X - incorrect ICA O – not attempted 5N1. Represent and describe whole √ √A √ O - not an outcome numbers to 1 000 000 covered for this task 5N2. Use the strategy of estimation by front-ending rounding estimation X √A √ O A - with assistance in problem-solving contexts 5N2. Use the strategy of estimation by compensation in problem-solving contexts O √A O 5N2. Use the strategy of estimation by compatible numbers in problem- solving contexts XA √ O 5N10. Compare and order decimals (to thousandths)by using benchmarks O √ √A O 5SS1. Identify 90⁰ angles. XA O Collaboration with peers 2 3 3 What do we know about Risk-Taking 2 Tom using this type of Perseverence 3 3 gradebook? Peter Lilijedhal www.peterlilijedahl.com
  • 14. Go to www.pwsd76.ab.ca •Quicklinks, Moodle Collaboration, AISI Numeracy Div. 1 &2
  • 15. How can I help at home?
  • 16. ”Leaders must be close enough to relate to others, but far enough ahead to motivate them.” - John Maxwell
  • 17. After a lesson principals may ask the following: Whatare you doing to What outcome or process deliberately work on skill(s) from the attitude? What can I do to support curriculum are you you in the revised math working on? On understanding? curriculum before my What concerns do you On number sense? next visit? have as you work on it? How is it going? lecture, lecture, lecture textbook as only resource Do not reproduce without permission – Jackie Ratkovic – stojack@telusplanet.net Geri Lorway – glorway@telusplanet.net
  • 20. - •Video - •Feedback Surveys - •Word Problems
  • 21.
  • 22. Starting Point 1 Something on paper Represented 1 2 3 Thinking Has shown some Mathematics Mathematical thinking sort of thinking evident in thinking is at grade level The Answer 1 2 3 Has an answer Accurate answer, Accurate answer, Shows proof, Makes sense More than one way, Created/solved a 1 similiar problem Attempted to create and/or solve a similiar problem
  • 23. What mark would you give for this solution? Where is the answer? 1 Starting Point Something on Paper 1 2 3 Represented Has shown Mathematics Mathematical Thinking some sort or evident in thinking is at thinking thinking grade level 3 2 Accurate 1 Accurate answer, shows The Answer Has an answer answer, proof, more makes sense than one way, all possibilities 1 Created/solved Attempted to a similar create and/or problem solve a similar problem Grade 5
  • 24.
  • 25.
  • 26.
  • 28.
  • 29.
  • 30.
  • 33.
  • 36. 80 67 66 62 58 51 54 60 48 44 44 43 41 40 Beg 40 End 20 0 1 2 3 4 5 6 Average Average End Grade Beginning Mark Mark Increase 1 44 % 67 % 23% 2 44 % 62 % 18% 3 43 % 66 % 23% 4 40 % 51 % 10% 5 41 % 54 % 13% 6 48 % 58 % 10%
  • 37.