Goal 2: To develop an understanding of human cultures and the physical and natural world that is focused by engagement with big questions, both contemporary and enduring. Domain 2.2: Mathematics. Definition: Mathematics is, in part, the study of relationships and properties of quantities and sets. This study uses algebraic, numerical, symbolic, or graphical representations, and is based on underlying logical structures. Mathematics may be studied in its own right or applied to an understanding of the physical and natural world. Arithmetic, algebra, geometry, measurement, data analysis, probability, and calculus are some of the major branches of mathematics. In order to reach mathematical proficiency one should be able to use procedural skills, reason abstractly and quantitatively, model with mathematics, construct viable arguments, use appropriate tools strategically, and attain conceptual understanding. Some of the big questions are: How can particular results be generalized? How can general processes and concepts be applied to specific problems?* Instructors may use any or all of the behavioral achievements appearing in the list under each performance level using the levels provided here (4, 3, 2, 1). Behavioral Achievement and/or Quality of Work Raw number of students achieving at this level. Performance Levels 4 3 • Accurately derives, uses, or manipulates algebraic, graphical, or numeric representations of mathematical concepts, pertinent data, and the stated problem’s elements. • Uses quantitative information in a mathematically-correct solution and justifies the use of the representations of the information. • Provides a reasoned explanation of the solution. • Makes appropriate connections among different representations in order to provide a mathematically-correct solution. • Reasons logically and interprets logical relationships among problem elements and solutions. • Accurately represents algebraic, graphical, and numeric information presented in the stated problem. • Correctly identifies quantitative information presented in a given problem, but does not accurately use the information in the solution to the problem. • Provides a correct solution without an adequate explanation. • Connections among different representations are not thoroughly developed. • Logical reasoning is correct but incomplete. 2 1 • Incomplete or inaccurate representations of algebraic, graphical, and numeric information presented in the stated problem. • Incorrectly identifies presented quantitative information presented in a given problem. • Provides an incomplete or incorrect solution for a given problem. • Provides incorrect connections among various representations. • Logical reasoning is incorrect. • Provides little or no representation of the information presented in the stated problem. • Provides little or no quantitative information from the stated problem. • Provides no solution or an incorrect solution not based on the stated problem. • Provides no connections among various representations. • Presents no logical argument for a presented solution. Number of students who participated in this assessment but failed to meet Performance Level 1. *This rubric and definition are adapted from the VALUE (Valid Assessment of Undergraduate Education) rubric of the Association of American Colleges and Universities. Page 2 of Reporting Template Department/Program: Semester, Year of Assessment: Assessment Method: Course(s) Number (not section), student work product that was evaluated, brief description of the rubric or evaluation instrument used (a copy would be appreciated.) Executive Summary: Please briefly describe your findings, and your interpretations of the findings. Recommendations: Please provide any suggestions you have for improvement (e.g., from minor adjustments to the course, to changes to the assessment method, to major changes in KU’s approach to the learning goal)