ALGEBRA SESSION

1
ALGEBRA SESSION

• Session 4 Range of Learners

2
12 x 3 Array

• Using the same picture, show 6 x 6 and prove that
  array also has the same value
• How did your representation change?
• What mathematical "rule" or property did you
  apply?
• How would this help students struggling with
  computational fluency?

3
Students in action

• Video 1 and Video 2

4
Computational Fluency

• Major focus in elementary grades
• Obstacle to success and confidence in math
• Students see each problem as a separate endeavor
  (trying to remember the "right steps" to follow
  rather than building on what they already know)

5
CCSS Connections

• Our goal students learn computation strategies
  deriving from the operations' properties and the
  structure of the base ten system.
• Where do you see evidence of this goal across
  grade level standards?
• Where is it that we expect kids to master these
  ideas within the CCSS specifically?
• Stay in OA even though NBT would also be relevant

6
Karly (p. 69-70)

• What does she understand?
• What does she need to work on?

7
Karly (pg. 71)

• What has changed?
• What property is she using when she talks about
  dispersing the 9 into 3 bags of 3?
• 4 x 9 4 x (3 x 3)
• What does this tell us about her progress?
• What are the teacher's next steps?

8
Quick vs. Efficient

• What is the difference? Work as a table to come
  up with an explanation.
• Many times with struggling learners teachers what
  to give them quick strategies for success
• Quick non transferrable, procedural
• Efficient - you can reuse you work, long range
  planning, investment, working smarter, not harder
• Analogy - math center vs. copies of recording
  sheets
• Fad diet vs. changing of eating habits. Long term
  effects!

9
Reflecting on Work

• The equivalent of "Night Writes" - when I was
  doing this work, I was thinking about...
• Show Me - exciting for kids
• Is it different than "checking your work?"
• Brainstorm some sentence starters students can
  use when expressing their ideas about strategies

10
Sharing Homework

• Sharing Protocol - 1 minute explanation,
  questions, rebuttal
• Talking chips - get rid of chips
• At the end of your discussion, please highlight
  the work of your team

11
HW Share Out

• Recognizing each other's work
• Comparing what we saw at different schools
• How will we share our work? Everyone? Small
  groups? Jigsaw?