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NCTM Statement of Beliefs
"As the primary professional organization for teachers of mathematics in grades K–12, the National Council of Teachers of Mathematics (NCTM) has the
responsibility to provide broad national leadership in matters related to mathematics education.
In meeting this responsibility, NCTM has developed a set of standards for school mathematics that address content, teaching, and assessment. These standards are
guidelines for teachers, schools, districts, states, and provinces to use in planning, implementing, and evaluating high-quality mathematics programs for kindergarten
through grade 12." --NCTM
- Understand numbers, ways of representing numbers, relationships among numbers, and number systems
- Understand meanings of operations and how they relate to one another
- Compute fluently and make reasonable estimates
- Understand patterns, relations, and functions
- Represent and analyze mathematical situations and structures using algebraic symbols
- Use mathematical models to represent and understand quantitative relationships
- Analyze change in various contexts
- Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
- Specify locations and describe spatial relationships using coordinate geometry and other representational systems
- Apply transformations and use symmetry to analyze mathematical situations
- Use visualization, spatial reasoning, and geometric modeling to solve problems
- Understand measurable attributes of objects and the units, systems, and processes of measurement
- Apply appropriate techniques, tools, and formulas to determine measurements
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DATA ANALYSIS AND PROBABILITY
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- Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer
- Select and use appropriate statistical methods to analyze data
- Apply transformations and use symmetry to analyze mathematical situations
- Develop and evaluate inferences and predictions that are based on data
- Understand and apply basic concepts of probability
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