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Problem Solving
Instructional programs from prekindergarten through
grade 12
should enable all students to—
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Build
new mathematical knowledge through problem solving
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Solve
problems that arise in mathematics and in other contexts
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Apply
and adapt a variety of appropriate strategies to solve problems
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Monitor
and reflect on the process of mathematical problem solving
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Reasoning and
Proof
Instructional programs from prekindergarten through
grade 12 should enable
all students to—
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Recognize
reasoning and proof as fundamental aspects of mathematics
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Make
and investigate mathematical conjectures
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Develop
and evaluate mathematical arguments and proofs
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Select
and use various types of reasoning and methods of proof
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Communication
Instructional programs from prekindergarten through
grade 12 should enable
all students to—
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| • |
Organize
and consolidate their mathematical thinking through communication
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Communicate
their mathematical thinking coherently and clearly to peers,
teachers, and others
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Analyze
and evaluate the mathematical thinking and strategies of others;
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Use
the language of mathematics to express mathematical ideas precisely.
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Connections
Instructional programs from prekindergarten through
grade 12 should enable
all students to—
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Recognize
and use connections among mathematical ideas
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Understand
how mathematical ideas interconnect and build on one another
to produce a coherent whole
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Recognize
and apply mathematics in contexts outside of mathematics
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Representation
Instructional programs from prekindergarten through
grade 12 should enable
all students to—
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Create
and use representations to organize, record, and communicate
mathematical ideas
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Select,
apply, and translate among mathematical representations to solve
problems
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Use
representations to model and interpret physical, social, and
mathematical phenomena
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