Standards for Mathematical Practice Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics ID: 461882
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Slide1
Standards for Mathematical PracticeSlide2
Standards for Mathematical Practice
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.Slide3
Common Core Standards for Mathematical PracticeSlide4
Frayer Model
Definition
Characteristics
Example
Non-ExampleSlide5
MP1 Make sense of problems and persevere in solving them.
Work to make sense
of your problem.
Make a plan.
Try different approaches.
productive struggle
strategy,
planning, effort, not giving up
How many different plans do you have in your group? Explain them.I can do it. Sí,
se puede.I think I can. I think I can.
I think I can…
I quit.
MP1
Definition
Characteristics
Example
Non-ExampleSlide6
MP1 Make sense of problems and persevere in solving them.
Productive Struggle
: “Students are more likely to retain what they learn when they expend effort solving problems that are within reach and grappling with key mathematical ideas that are comprehensible but not yet well formed.”
Carnegie Foundation for the Advancement of Teaching 2013Slide7
MP6 Attend to precision.
Communicate your mathematical thinking clearly and precisely.
Be accurate when you count, measure, & calculate.
accuracy, vocabulary,
attention to detail
vocabulary word wall
, peer editing “What’s another word for that?”“How might you label the answer?”
“that thing”
numbers w/o labels“The number on the top of the fraction…”
MP6
Definition
Characteristics
Example
Non-ExampleSlide8
MP2 Reason abstractly and quantitatively.
Explain the meaning of numbers, words, pictures, symbols, tables, graphs, and concrete objects.
contextualize &
decontextualize
,
in & out of context
Singapore bar model,“What do the numbers used in the problem represent?”“This shows…”
“Ours is not to reason why,
just invert and multiply.”
MP2
Definition
Characteristics
Example
Non-ExampleSlide9
MP3 Construct viable arguments and critique the reasoning of others.
Explain both what to do
and why it works.
Work to make sense of others' mathematical thinking.
communicate,
back it up,
prove itI agree with Paco,
because…
I see it a different way…What evidence do you see
to support…?
What I hear you saying is…
a silent classroom
MP3
Definition
Characteristics
Example
Non-ExampleSlide10
Resources to Deepen Understanding
Frayer
Model
Standards for Mathematical Practice (Commentary & Elaboration for K-5)
Problem Solving Tasks
Classroom Implementation GuidesSlide11
Deepening Our Understanding
Questions to Consider
H
ow does the
task
elicit
that Practice
Standard?How can the practices be used to influence instruction?Slide12Slide13Slide14Slide15Slide16
Supporting Mathematical Proficiency
Through Student Talk in the Classroom
Provide time for and facilitate discussion
Encourage and facilitate students in justifying their conclusions, communicating, and responding to others
Ask questions to clarify and improve students’ arguments
Expect precision in communication (written and oral)
Provide a variety of tools and technology
Provide opportunities to look for patterns Slide17
Supporting Mathematical Proficiency
Through Problem Solving
Provide
time to think and problem
solve
Encourage students to check answers using different methods
Provide problems that require flexible use of objects and properties of
operationsProvide situations that apply to everyday lifeFocus on conceptual understandingProvide a variety of tools and technologyProvide opportunities to look for patterns