Department of Mathematics B.A./B.S. Portfolio Assessment Rubric Primary Traits Not Developing Established Advanced Goal Present Demonstrates the Shows evidence of Shows evidence of fully Shows evidence of fully developed 2 ability to construct and developing mathematical developed mathematical mathematical arguments and proofs that are analyze mathematical arguments and proofs; arguments and proofs; shows elegant and creative; shows evidence of arguments (for gives evidence of using evidence of recognizing reasoning recognizing reasoning and proof as example, a proof). various methods of and proof as fundamental aspects fundamental aspects of mathematics; shows reasoning and proof. of mathematics; shows evidence evidence of selecting and using various of selecting and using various methods of reasoning and proof in creative methods of reasoning and proof. ways; shows evidence of making and investigating mathematical conjectures. Demonstrates the Shows evidence of Shows evidence of applying a Shows evidence of applying and adapting a 3 ability to solve solving routine problems; variety of strategies to solve variety of strategies to solve mathematical mathematical provides evidence of mathematical problems; shows problems utilizing logical reasoning and problems. knowing the process of evidence of more developed creative thinking; artifacts indicate that the mathematical problem mathematical problem solving student can build mathematical knowledge solving. skills. through problem solving skills. Applies mathematical Shows evidence of Shows evidence of recognizing Shows evidence of recognizing and solving 3 knowledge to new recognizing and solving and solving new problems in a new problems in a variety of contexts; shows problem situations. new problem situations. variety of contexts. evidence of selecting, applying, and translating mathematical ideas to solve new problems. Uses mathematical Shows evidence of using Shows evidence of using Shows evidence of using mathematical terms to 5 terms (notation, mathematical terms to mathematical terms to organize, organize, record, and communicate symbolism) organize, record, and record, and communicate mathematical ideas; shows evidence of using appropriately and communicate mathematical ideas; shows mathematical terms to model and interpret correctly. mathematical ideas. evidence of using mathematical physical, social, or mathematical phenomenon; terms to model physical, social, or mathematical phenomenon. Demonstrates the Shows evidence of using Shows evidence of Shows evidence of communicating his or her 5 ability to communicate the language of communicating his or her mathematical thinking clearly to others; shows mathematics. mathematics in some mathematical thinking clearly to evidence of using the language of mathematics appropriate ways. others; shows evidence of using to express ideas precisely; shows evidence of the language of mathematics to organizing mathematical thinking through express ideas precisely. communication.
Department of Mathematics B.A./B.S. Portfolio Assessment Rubric Primary Traits Not Present Developing Established Advanced Goal Demonstrates the ability to construct and analyze mathematical arguments (for example, a proof). Shows evidence of developing mathematical arguments and proofs; gives evidence of using various methods of reasoning and proof. Shows evidence of fully developed mathematical arguments and proofs; shows evidence of recognizing reasoning and proof as fundamental aspects of mathematics; shows evidence of selecting and using various methods of reasoning and proof. Shows evidence of fully developed mathematical arguments and proofs that are elegant and creative; shows evidence of recognizing reasoning and proof as fundamental aspects of mathematics; shows evidence of selecting and using various methods of reasoning and proof in creative ways; shows evidence of making and investigating mathematical conjectures. 2 Demonstrates the ability to solve mathematical problems. Shows evidence of solving routine problems; provides evidence of knowing the process of mathematical problem solving. Shows evidence of applying a variety of strategies to solve mathematical problems; shows evidence of more developed mathematical problem solving skills. Shows evidence of applying and adapting a variety of strategies to solve mathematical problems utilizing logical reasoning and creative thinking; artifacts indicate that the student can build mathematical knowledge through problem solving skills. 3 Applies mathematical knowledge to new problem situations. Shows evidence of recognizing and solving new problem situations. Shows evidence of recognizing and solving new problems in a variety of contexts. Shows evidence of recognizing and solving new problems in a variety of contexts; shows evidence of selecting, applying, and translating mathematical ideas to solve new problems. 3 Uses mathematical terms (notation, symbolism) appropriately and correctly. Shows evidence of using mathematical terms to organize, record, and communicate mathematical ideas. Shows evidence of using mathematical terms to organize, record, and communicate mathematical ideas; shows evidence of using mathematical terms to model physical, social, or mathematical phenomenon. Shows evidence of using mathematical terms to organize, record, and communicate mathematical ideas; shows evidence of using mathematical terms to model and interpret physical, social, or mathematical phenomenon; 5 Demonstrates the ability to communicate mathematics. Shows evidence of using the language of mathematics in some appropriate ways. Shows evidence of communicating his or her mathematical thinking clearly to others; shows evidence of using the language of mathematics to express ideas precisely. Shows evidence of communicating his or her mathematical thinking clearly to others; shows evidence of using the language of mathematics to express ideas precisely; shows evidence of organizing mathematical thinking through communication. 5