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A Framework for Assessing Math
Skills
"Problem solving is an integral part of all mathematics learning. In everyday
life and in the workplace, being able to solve problems can lead to great
advantages. However, solving problems is not only a goal of learning
mathematics but also a major means of doing so. Problem solving should not be
an isolated part of the curriculum but should involve the basic thinking and
reasoning skills of mathematics. Although each of these skills applies to all
grades, the relative emphasis on particular skills will vary across the grade
levels. " NCTM Principles & Standards for Mathematics
The Wyoming Mathematics Content and Performance Standards ask students to
demonstrate basic computational skills along with the higher-level thinking
skills of reasoning and problem solving. To achieve this end, the PAWS
assessment asks students to analyze, reason, and communicate ideas effectively
as they pose, formulate, solve, and interpret mathematical problems in a
variety of real-world situations. Therefore, Wyoming's framework for assessing
mathematics is based upon mathematical problem solving.
Skills for Mathematics
A. Skills for Number Operations and Concepts Standard
- Understand the meaning of arithmetic operations and make reasonable estimates
- Understand ways to represent numbers, relationships among numbers, and number
systems
- Develop the connection between conceptual understanding and computational
proficiency
B. Skills for Geometry Standard
- Specify locations and describe spatial relationships using coordinate geometry
and other representational systems
- A nalyze characteristics and properties of two- and three-dimensional geometric
shapes
- Apply transformations and use symmetry to analyze mathematical situations
C. Skills for Measurement Standard
- Understand measurable attributes of objects and the units, systems, and
processes of measurement
- Apply appropriate techniques, tools, and formulas to determine perimeter, area or volume
D. Skills for Algebra Standard
- Understand patterns, relations, and functions
- Use mathematical models to represent and understand quantitative relationships
E. Skills for Data Analysis and Probability Standard
- Collect, organize, and display relevant data to answer questions and use
appropriate statistical methods to analyze the data
- Develop and evaluate inferences and predictions based on data
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