Presentations text content in Standards for Mathematical Practice
Slide1
Standards for Mathematical Practice
Slide2Standards 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.
Slide3Common Core Standards for Mathematical Practice
Slide4Frayer Model
Definition
Characteristics
Example
Non-Example
Slide5MP1 Make sense of problems and persevere in solving them.
Work to make sense of your problem.Make a plan.Try different approaches.productive strugglestrategy, planning, effort, not giving upHow 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-Example
Slide6MP1 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 2013
Slide7MP6 Attend to precision.
Communicate your mathematical thinking clearly and precisely.Be accurate when you count, measure, & calculate.accuracy, vocabulary, attention to detailvocabulary 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-Example
Slide8MP2 Reason abstractly and quantitatively.
Explain the meaning of numbers, words, pictures, symbols, tables, graphs, and concrete objects.contextualize & decontextualize,in & out of contextSingapore 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-Example
Slide9MP3 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 seeto support…?What I hear you saying is…a silent classroom
MP3
Definition
Characteristics
Example
Non-Example
Slide10Resources to Deepen Understanding
Frayer ModelStandards for Mathematical Practice (Commentary & Elaboration for K-5)Problem Solving Tasks
Classroom Implementation Guides
Slide11Deepening Our Understanding
Questions to Consider
H
ow does the
task
elicit
that Practice
Standard?
H
ow can the practices be
used to influence
instruction
?
Slide12Slide13Slide14Slide15Slide16Supporting 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
Slide17Supporting 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
operations
Provide
situations that apply to everyday life
Focus on conceptual
understanding
Provide a variety of tools and technology
Provide opportunities to look for patterns
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Standards for Mathematical Practice
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