Algebra for All - Thoughts by Math Toolkit https://padlet.com/mathstrands/Kotelawala_Algebra4All My Board en-us 2016-06-21 03:43:48 UTC 2020-04-30 14:04:17 UTC hello@padlet.com https://padlet-assets.s3.amazonaws.com/icons/Lightdecrease.png Algebra4All (below from DOE) mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115114400 Three Rivers of Algebra - 
  • I.Generalizing from Arithmetic to Algebra
  • II. Functions
  • III. Problem Solving with the art of writing and solving equations
One-pager of goals from DOE - See attach  

Mathematical Coherence in Algebra
Across the Grades

Teaching Practices that achieve these purposes:
  • Teaching Practices
  • Mathematics
  • Balance of conceptual understanding, fluency and application
  • Students express their reasoning using mathematical representations in talk, listening, reading and writing
  • Each student gets enough air time
  • Core practices shared school-wide


]]> 2016-06-21 03:48:44 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115114400 Questions: mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115115204 What should be prioritized in just 12.5 hours?

What if I was planning 48 hours What would I focus on? What would I include?

What are teachers less likely to be familiar with?  Exponential functions?

What do I want teachers leaving with?  
What do I want teachers experiencing?
How does order matter?
Do CC regents problems offer something?
What would indicate that this PD was successful?

Do I need the common accessible starter such as "Consecutive Sums"

Remember that part of the purpose here is improving their own content.]]> 2016-06-21 04:02:23 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115115204 mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115169885 What may be areas teachers are weaker in?
Non-routine problem solving
General or specific
Statistics
Why is the methodology of completing the square useful?
Multiplicative/exponential functions and their development

Non-routine problem solving
The power of indicated arithmetic/delayed evaluation
Power of organized/thoughtful guess and check
Value of conceptual understanding preceding efficient procedures
Strategies with ELLs and strugglers

]]> 2016-06-21 16:56:30 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115169885 mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115173234
My thoughts/goals

Indicated arithmetic

Non-routine problem-solving

Exponential/Multiplicative functions

Quadratic areas models, completing the square, and deriving the quadratic formula

How might collab with BJacob prepare for larger plan?]]> 2016-06-21 17:44:56 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115173234 Introducing myself mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115173901
  • 4 yrs CUNY working on curric and PD for struggling 12th graders on a trajectory toward remedial
  • Driscoll, Mark 2003; Nicholas Branca 2003; 
  • Lucy West 1999
  • Henry Pollak mid-1990s
  • UMAP modules; COMAP MMOW editing work;
  • Read disputes during 1990s math wars while selecting curriculum
  • Advocate of 1989 NCTM recommendations
  • Harold Jacobs fan
  • TTA by Goldenberg & Mark fan
  • 9 yrs in Math Teacher Ed at Fordham; 4 yrs "coaching"; 7 yrs teaching HS math; 

    • ]]>     2016-06-21 17:53:52 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/115173901     BIG IDEAs for August 2016 mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/116123055
    What are the "big ideas" I want emerging?
    Pushing beyond Recursion with multiplicative functions
    Algebraic Expressions
    Problem Solving Access

    When is the reasoning deductive and when is it inductive and why does it matter? What are the consequences?
    How do you get from recursive to non-recursive?



    ]]>     2016-07-08 16:50:03 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/116123055     mathstrands https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/116123184 Closed form?
    Explicit

    vs
    Recursive


    Deductive vs inductive

    Why is it quadratic when the differences of the differences are the same?]]>     2016-07-08 16:54:25 UTC https://padlet.com/mathstrands/Kotelawala_Algebra4All/wish/116123184