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The mathematics education standards for problem solving, reasoning and proof, communication, connections, representation, assessment, algebra, geometry, measurement, data analysis and probability, equality, curriculum, teaching, and learning. It defines each term and explains their importance in mathematics education.
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Problem Solving Build new mathematical knowledge through problem solving Solve problems that arise in other contexts Apply and adapt a variety of appropriate strategies to solve problems TERM 2
DEFINITION 2 Reasoning and Proof Recognize it as a fundamental aspect of mathematics TERM 3
DEFINITION 3 Communication Organize and consolidate their mathematical thinking through communication Communicate their mathematical thinking and clearly to peers, teachers, and others TERM 4
DEFINITION 4 Connections Recognize and use connections among mathematical ideas Recognize and apply mathematics in contexts outside of mathematics TERM 5
DEFINITION 5 Representation Create and use representations to organize, record, and communicate mathematical ideas Use representations to model and interpret physical, social, and mathematical phenomena
Assessment in education is the process of gathering, interpreting, recording, and using information about pupils responses to an educational task. Formative is assessment for learning. -Teachers responding to identified learning needs and strengths by modifying their teaching approach(es). Summative is assessment of learning. "test" -Generally taken by students at the end of a unit or semester to demonstrate the "sum" of what they learned. TERM 7
DEFINITION 7 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 TERM 8
DEFINITION 8 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 TERM 9
DEFINITION 9 Understand measurable attributes of objects and the units, systems, and processes of measurement Apply appropriate techniques, tools, and formulas to determine measurements. TERM 10
DEFINITION 10 Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them Select and use appropriate statistical methods to analyze data Develop and evaluate inferences and predictions that are based on data Understand and apply basic concepts of probability