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Presentation on theme: "The Standards for Mathematical Practice"— Presentation transcript:
The Standards for
Alabama Course of Study: Mathematics
College- and Career-Ready Standards
Standards for Mathematical Practice
“The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education.”
National Council of Teachers of Mathematics
). Principles and Standards for School Mathematics
. Reston, VA: Author.
Reasoning and Proof
Adding It Up.
Washington, D.C.: National Academies Press.
National Research Council
: Make sense of problems and persevere in
: 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
The Standards for Mathematical Practice
Mathematically proficient students:
1. What student behaviors are included in this standard?
2. What type of activities could help my students develop this behavior?
Adapted from Kathy Berry, Monroe County ISD, Michigan
Questions to consider…
What does this standard look like in the classroom?
What will students need in order to do this?What will teachers need in order to do this?Adapted from Kathy Berry, Monroe County ISD, Michigan
Questions to consider…
Analyze givens, constraints, relationshipsMake conjectures Plan solution pathways
Make meaning of the solutionMonitor and evaluate their progressChange course if necessaryAsk themselves if what they are doing makes sense
Standard 1: Make sense of problems and persevere in solving them.
What do mathematically proficient students do?
Make sense of quantities and relationshipsAble to decontextualize
Abstract a given situationRepresent it symbolicallyManipulate the representing symbolsAble to contextualize
Pause during manipulation processProbe the referents for symbols involved
Making connections between different algebraic representations: graphs, equations, verbal rules, and tablesUnderstanding how the equation determines the shape of the graphDeveloping a convincing argument using a variety of algebraic conceptsBeing able to move from specific solutions to thinking about generalizations