Mathematics
Coursework in this area is intended to develop an understanding of mathematical reasoning processes and the ability to utilize these processes to solve college-level mathematical problems.
University Learning Outcome (ULO) Criteria
Apply knowledge and the methods of reasoning characteristic of mathematics to solve college-level mathematical problems.
- Read, interpret, and communicate mathematical concepts.
- Represent and interpret information/data.
- Select, execute, and explain appropriate strategies/procedures when solving mathematical problems.
- Apply quantitative reasoning to draw appropriate conclusions and support them.
The Boise State University Learning Outcomes rubric for Mathematics is closely based on the Idaho State Board of Education’s Mathematical Ways of Knowing rubric.
Rubric
Downloadable Version: Mathematics ULO Rubric
CRITERIA | 4 Exemplary Work | 3 Good Work | 2 Developing Work | 1 Unsatisfactory Work |
---|---|---|---|---|
1 Read, interpret, and communicate mathematical concepts. | Demonstrates ability to extend course concepts to new contexts. Demonstrates the ability to interpret and apply abstractions. Understands and correctly utilizes appropriate mathematical language in new contexts. | Demonstrates ability to read, interpret, and communicate the course concepts. Understands the use of abstractions related to course material. Understands and correctly utilizes appropriate mathematical language. | Demonstrates understanding of concepts relating to appropriate prerequisite material. | Does not demonstrate understanding of concepts relating to appropriate prerequisite material. |
2 Represent and interpret information/data. | Appropriately represents data or information graphically and/or functionally. Draws valid conclusions from analysis. Predicts consequences, trends, or patterns. | Appropriately represents data or information graphically and/or functionally. Draws valid conclusions from analysis. | Demonstrates a general understanding of graphs and/or tables. | Does not demonstrate a general understanding of graphs and/or tables. |
3 Select, execute and explain appropriate strategies/procedures when solving mathematical problems. | Selects the appropriate strategy in a generalized problem. Applies the strategy independently and in a timely manner, indicating that the process has become internalized. Justifies why the process is used. | Selects appropriate strategy for specific problems. Performs process correctly without assistance. Writes down steps. | Follows an argument as to which strategy is chosen. Performs process correctly with assistance. Follows steps. | Cannot follow an argument as to which strategy is chosen. Incorrectly performs process despite assistance. Cannot follow steps. |
4 Apply quantitative reasoning to draw appropriate conclusions and support them. | Uses appropriate methods to check the solution and recognize that it is reasonable. Demonstrates that the conclusion correctly addresses the initial problem. Explains the problem, process and conclusions to others. Recognizes the limitations of the methods and the conclusions. Recognizes patterns within a problem that can be applied to other situations. | Uses appropriate methods to check the solution and recognize that it is reasonable. Demonstrates that the conclusion correctly addresses the initial problem. Explains the problem, process and conclusions to others. | Uses appropriate methods to check the solution and recognize that it is reasonable. | Does not use appropriate methods to check the solution and recognize that it is reasonable. |