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Mathematics Competencies K-12
Mathematics Competencies K-12
Understanding and Applying Number Systems: I understand the world of numbers and I can quantitatively solve problems using a variety of mathematical strategies fluently.
Operations and Algebraic Thinking: I can analyze and evaluate real world problems and develop accurate, efficient and flexible solution paths that help me explain, defend and interact with my world.
Measurement and Data Investigations: I can interpret and organize data in context, draw reasonable conclusions, and make compelling arguments using self-generated data and data from other sources.
Reasoning with Geometry: I can analyze, evaluate and generate explanations about my world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.
Vision of the Graduate in Mathematics
Vision of the Graduate in Mathematics
The Responsible Citizen: Responsible and engaged community members
Selecting the appropriate tools and strategically planning how to solve problems assists students in creating accurate and reasonable solutions. By conceptually understanding mathematics and how to use mathematics to makes sense of the world, students will be better equipped to be civically involved, make informed choices, and offer solutions to problems that matter in the world.
The Researcher: Demonstrate initiative, persistence and adaptability
Persevering in solving problems requires a deep understanding of not only the problem, but also the factors that might influence or affect it. Persistent researchers investigate the numerical world and make connections between what they want to know, what they need to know, and what they already know in order to develop reasonable, precise solutions.
The Innovator: Curious and value risk-taking as part of the learning process
Taking informed risks and creating models, tools and strategies helps students to see the possibilities: there is more than one way to solve problems that matter in the world. Curiosity allows mathematical thinkers to take risks when developing processes that lead to multiple solution pathways and new ways of thinking.
The Informed Thinker: Access and analyze information and formulate an opinion
Acquiring and challenging the veracity of information is the basis for making relevant inferences and planning for the work of problem solving. By verifying that information is reliable, students can justify their ideas and defend their solutions to routine and nonroutine problems. A strong conceptual understanding about the numerical world assists students in forming opinions about problems and thinking critically about which pathways to solutions are the most effective and efficient.
The Communicator: Communicate effectively
Being immersed in the work of problem solving means using precise, domain-specific and symbolic language that helps students to explain, defend, justify and evaluate not just the problem at hand, but also how potential solutions impact particular situations, places and people. Students can skillfully capitalize on opportunities to listen, process information, and communicate ideas in a variety of situations for a variety of purposes.
The Problem Solver: Work individually and on teams to solve real world problems
Working with others creates opportunities to experience insights and varied points of view that just aren’t possible alone. Students can then take their collaborative experiences to enhance their own individual approaches to problem-solving and develop a variety of computational and analytic strategies to construct accurate and reasonable solutions to problems that matter in the world.
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