Transcript Alaska Mathematics Standards Teaching and Learning Support Institute September 16-17, 2013 Deborah Riddle Math Content Specialist [email protected] 907-465-3758

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Alaska Mathematics
Standards
Teaching and Learning Support
Institute
September 16-17, 2013
Deborah Riddle
Math Content Specialist
[email protected]
907-465-3758
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Goals for Today
Revisit the 3 Standards Shifts in math
Look at the Mathematical Practices
Examine some instructional strategies
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3 Shifts in
Mathematics
Focus
Coherence
Rigor
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Focus
2 – 4 topics focused on deeply in each
grade
Fewer big ideas to be covered
Allows more time for students to
understand the concepts
Strive for understanding not coverage
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Shift 1: Focus
Multiplication Grade 3
New Math Standards
GLE
• M3.1.4 Model
multiplication as
repeated addition and
grouping objects;
model division as
“sharing equally” and
grouping objects
•
•
•
•
Represent and solve problems
involving multiplication.
–
3.OA.1, 3.OA.2, 3.OA.3, 3.OA.4
–
3.OA.5, 3.OA.6,
–
3.OA.7
Understand properties of
multiplication and the
relationship between
multiplication and division.
Multiply and divide up to 100.
Solve problems involving the four
operations and identify and
explain patterns in arithmetic.
–
•
3.OA.8, 3.OA.9
Use place value understanding
and properties of operations to
perform multi-digit arithmetic.
–
3.NBT.3
– [3] E&C-5, [3]E&C-6
Digging Deeper
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Coherence
systematic or logical connection or consistency (Merriam-Webster)
logical or natural connection or consistency,
logical interconnectedness (The Free Dictionary)
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http://www.merriam-webster.com/dictionary/coherence
Coherence
Concepts logically connected form one
grade to the next
Concepts linked to other major topics
within each grade
Deeper learning decreases the need for
re-teaching topics each year
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Shift 2: Coherence
Grade Level
K
Represent
addition and
subtractions
with objects.
K.OA.1
1
Solve single
step addition
and
subtraction
word
problems.
1.OA.1
2
3
Estimate and
solve multistep
addition and
subtraction
word
problems.
Multiplication
(repeated
addition)
Division
(repeated
subtraction)
2.OA.1
3.OA.1, 3.OA.2
Craig has $20.
He buys 6
squirt guns for
$2 each. How
much money
does he have
left?
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Recognize
multiplication
as a
comparison
(commutative
property).
4.OA.1
5
Use
parentheses to
construct
numerical
expressions
and evaluate
expressions
with these
symbols.
5.OA.1
5x7 = 7x5
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Algebra
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Shift 3: Rigor
• Conceptual understanding
• Application to real-world
situations
• Fluency with arithmetic
With equal
intensity
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Rigor
Conceptual understanding of key concepts.
Foster students’ ability to access concepts
from a number of perspectives.
Math is seen as more than a set of
mnemonics or discrete procedures.
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NAEP and SBAC
Grade 8
Grade 8
Linear Algebra
Linear Algebra
NAEP
SBAC
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https://education.alaska.gov/tls/assessment/naep.html
A set of football
games is to be
organized in a
“round-robin”
fashion, i.e., every
participating team
plays a game
against every other
team once and only
once.
If 36 games are
totally played, how
many teams
participated?
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Solution
http://www.syvum.com/teasers/
“When I add 4 times my age 4 years
from now to 5 times my age 5 years
from now, I get 10 times my current
age. How old will I be 5 years from
now? ”
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http://www.syvum.com/teasers/
Solution
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving
them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the
reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
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Resources on the Flash Drive
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Mathematics Standards
Understanding
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Sidewalk
Patterns in
Prague
A Performance Task
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Performance Tasks
Demonstrate mastery
Organized approach using multiple strategies
Fosters self-checking
Explanation of mathematical reasoning
Utilizes Mathematical Practices
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http://insidemathematics.org/index.php/exemplarylessons-integrating-practice-standards
Create a Performance Task
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Start with
an Idea
Real-world situations
High interest
Relevant
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Clarify the Task
Choose a product
Define the purpose and audience
Identify Content Standards and
Mathematical Practices
Create clear expectations and goals
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Prepare for Success
Prepare questions
to assess knowledge
to help struggling students
Identify prerequisite skills necessary for
success
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Assess the Task
Were the goals met?
Did the product reflect mastery?
Did the task work as intended?
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Sample
Performance
Task
Outline
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http://www.mathplaygroun
d.com/probability.html
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Brown University (2013, August 5). New explanation
for odd double-layer Martian craters
Resources
Illustrative
Mathematics
Although Alaska did not adopt the Common Core State Standards, there are
many Common Core resources that can be helpful to Alaskan teachers.
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Contact Information
Deborah Riddle
Math Content Specialist
[email protected]
907-465-3758
Link to this presentation in Prezi format
http://prezi.com/tb5d6bwgkq7g/?utm_campaign=share&utm
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Football Games
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Go Back
Old Enough?
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