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Material Type: Exam; Class: College Algebra; Subject: MATH; University: University of Texas - Pan American; Term: Fall 2003;
Typology: Exams
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The purpose of this document is to report on the results of an assessment that was conducted during the spring of 2003 to determine the degree to which students achieve desired learning outcomes in mathematics as a result of their completing the University's core curriculum. In May 2003, an assessment test was designed with questions aligned with predetermined objectives and administered to students in 18 sections of Math 1340 – College Algebra. Math 1340 is the predominant course used by students at UTPA to satisfy the mathematics requirement of the core curriculum: approximately 68% of all students take Math 1340 as their core class. Described in this report is a brief overview of the objectives for mathematics in the core curriculum, the method in which these objectives were assessed in the spring 2003 semester, a summary of the assessment results, and conclusions and recommendations based on these results. Results of the assessment will be used to improve student learning by providing feedback to departments and programs on campus to enable them to identify ways in which they may improve pedagogical practices and curriculum.
According to the Texas Higher Education Coordinating Board, the purpose of the mathematics component of the core curriculum is to develop a quantitatively literate college graduate (THECB Core Curriculum: Assumptions and Defining Characteristics , April 1998.) Every graduate from UTPA should be able to apply basic mathematical tools to solve real-world problems and make well-informed decisions aided by mathematical analysis. The THECB goes on to list the following seven E xemplary Objectives in support of this goal:
The purpose of this assessment is to document the degree to which students achieve these objectives by completing the University’s core curriculum.
Overview of the Assessment Plan
The assessment method implemented here was developed in the 2002-2003 academic year with the help of the Task Force on Mathematics and Computer Science in the Core Curriculum, the Department of Mathematics College Algebra Project, the Core Implementation and Assessment Committee, and the Division of Academic Affairs. Under this plan, local tests are composed and administered to students in those classes that meet the University’s core requirement in mathematics. The tests are composed in such a way that each Exemplary Objective is addressed by several test questions using a combination of multiple choice, short answer, and free response problems. The assessment plan describes a phased process in which classes in the College Algebra Project were to be assessed in the spring of 2003. A copy of the plan may be obtained from the Assistant Vice President for Undergraduate Studies.
Sample Population
Assessment of mathematics in the core curriculum for year 2002-2003 is based on the results of a local test administered to students in 18 sections of Math 1340 – College Algebra (sections 01-17, 24). A random sample of 30% of the approximately 500 students was selected for the mathematics assessment based on the last four digits of the students’ student number and course section number. The names of the 148 selected student names were provided by the Research Analyst of the Office of the Provost.
Composition of the Assessment Test
The assessment test was developed by members of the College Algebra Project. The 20 item test was composed in such a way that each Exemplary Objective was addressed by several test questions using a combination of multiple choice, short answer, and free response problems. A copy of the test items can be found in Appendix A. Prior to the spring 2003 semester, instructors of these sections included in their syllabus the stipulation that students may use their score on this test to replace one other test score from their class. Along with the test, scoring rubrics (see Appendix B) for free-response questions were designed to conform to a scale of
(0) Unacceptable, (1) Below Satisfactory, (2) Meets Expectations, (3) Exceeds Expectations.
The rubric for multiple choice problems was set to be
(0) Unacceptable (incorrect response), (2) Meets Expectations (correct response).
Conclusions The overall results indicate that students taking Math 1340 through the College Algebra Project have relative strengths in achieving Objectives 1-4, with the number of responses meeting or exceeding expectations ranging from 71.6% to 82.0%. Students, however, are comparatively weak in achieving Objectives 5-7. Some tentative conclusions about the mathematical and quantitative reasoning abilities of these students can be made based on the results of this assessment test. The results reflect both students who passed Math 1340 and those who did not. The students’ best performance was on several test questions aligned with Objective 1 (applying algebraic and higher order thinking) and Objective 3 (developing convincing mathematical arguments). In these questions, student success was predicated on their ability to know and apply basic formulas, algorithms, and algebra techniques. Students did well in representing basic mathematical information graphically and symbolically (Objective 2), but were relatively weak in interpreting and drawing inferences from these representations (Objective 5). Questions pertaining to the use of appropriate technology (Objective 4) centered on the use of a calculator. Two questions required a calculator to obtain meaningful results; in these problems, students identified the need for a calculator and obtained the correct result 70% of the time. Objective 6, the ability to recognize limitations of mathematical models, is admittedly difficult to achieve. In this assessment, questions were composed which required students to check their results to eliminate spurious solutions arising from seemingly convincing mathematical arguments. From the scoring rubric, however, it is not possible to distinguish those students who failed to check the reasonableness of their results from those students who had an incorrect problem solving strategy. Nevertheless, only 43.9% of the responses demonstrated both a correct problem solving strategy and the understanding that the reasonableness of the results must be checked. Finally, the students’ ability to connect mathematics with other disciplines (Objective
Department of Mathematics Recommendations The following recommendations are based on input from the Department of Mathematics Curriculum Committee. Recommendations regarding program improvement include:
identifying topics from that need to be emphasized more or to be presented in different ways.
Core Implementation and Assessment Committee Recommendations
The following recommendations are based on input from the University’s Core Implementation and Assessment Committee.