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Fluency with Basic Facts (Addition Reasoning Strategies (Combinations of…
Fluency with Basic Facts
Developmental Nature
Reasoning strategies
properties
Mastery
Counting Strategies
Approaches
Explicit strategy instruction
Guided invention
Memorization
Inflexibility
Inappropriate application
Inefficient
Teaching effectively
Purposeful Story Problems
Context
Sense Making
Explicit Reasoning Strategies
Practice, practice, practice
suggest, don't demand
Assessing effectively
Timed Tests
Don't asses the four elements of fluency
Doesn't show strategies used
negatively affect number sense and recall
Addition Reasoning Strategies
Combinations of 10
Most important
Contextual
Making 10
Doubles
Contextual problems
Picture cards
Using 5 as an anchor
Adding Zero
Contextual problems
Near Doubles
One more than and two more than
Counting on needs to happen first
ten-frame
arithmetic rack
number line
Subtraction Reasoning Strategies
Down Under 10
comparison
Take Away
Take from 10
Think-Addition
must master basic addition first
Building a Foundation for Mult.
Two
skip counting
double addition
Five
skip counting
Equal Groups
Zero and One
Contextual problems to avoid confusion
Reinforce Basic Fact Mastery
Drill
appropriate after transition from P2 to P3
Games
more efficient, engaging
Do's and Don'ts
Do
Build Over time
Involve Families
Short Practice Time
Engaging/enjoyable practice
Self-Improvement
technology
Self-Monitor
importance of learning
Don't
all facts at once
too high of expectatioms
Dont go in order 0-9
facts as a barrier to math
public comparison
prerequisite ti calculator use
timed tests