What do we expect students to learn and do?
UVA defines quantitative reasoning as correctly using numbers and symbols; studying measurement, properties, and the relationships of quantities; and formally reasoning within abstract systems of thought to make decisions, judgments, and predictions. From this definition, a committee of faculty set the following learning outcomes.
Student Learning Outcomes
A graduating fourth-year undergraduate student at the University of Virginia will be able to:
- Interpret mathematical models such as formulas, graphs, tables, and schematics, and draw inferences from them.
- Communicate mathematical information symbolically, visually, numerically, and verbally.
- Use arithmetical, algebraic, geometric, and analytic methods to solve problems.
- Estimate and check answers to mathematical problems to determine reasonableness.
- Solve word problems using quantitative techniques and interpret the results.
- Apply mathematical/statistical techniques and logical reasoning to produce predictions, identify optima, and make inferences based on a given set of data or quantitative information.
- Judge the soundness and accuracy of conclusions derived from quantitative information, recognizing that mathematical and statistical methods have limits and discriminating between association and causation.
- Solve multi-step problems.
- Apply statistics to evaluate claims and current literature.
- Demonstrate an understanding of the fundamental issues of statistical inference, including measurement and sampling.
Targets
For the 2023-2024 assessment of quantitative reasoning, the following standards were established by the committee for graduating fourth-year students: 25% highly competent (scoring 76% or better by correctly answering at least 19 of the 25 items); 75% competent or above (scoring 52% or better by correctly answering at least 13 of the 25 items); and 90% minimally competent or above (scoring 36% or better by correctly answering at least 9 of the 25 items).