Spring 2015 MA 121 Course Assessment Report Overview of Course Assessment MA 121, Elementary Trigonometry, is a basic presentation of the fundamental concepts of trigonometry, angles and their measure, basic trigonometric functions, right triangle trigonometry, graphing, and solving trigonometric equations. It is required for A.S. Degree Programs in Liberal Arts and Sciences (Science and Mathematics), Engineering Science, Health Sciences, and Environmental Health. Student Learning Outcomes and General Education Objectives This assessment will focus on the following Student Learning Outcomes: 2) Student will be able to work with the concept of angles and their measure 4) Student will be able to work with the concept of right triangle trigonometry 5) Student will be able to work with the concept of graphing trigonometric functions These outcomes also pertain to the General Education Objective (2) use analytical reasoning to identify issues or problems and evaluate evidence in order to make informed decisions and (3) reason quantitatively and mathematically as required in their fields of interest and in everyday life. More Descriptions about those three Student Learning Outcomes being assessed 2) Student will be able to work with the concept of angles and their measure Assessment consists of three parts (a) Can students identify an appropriate method in conversion between degree measurement and radian measurement? (b) Can students compute the product? (c) Can students simplify the product in the simplest form? 4) Student will be able to work with the concept of right triangle trigonometry Assessment consists of two parts (d) Can students identify an appropriate trigonometric function to use in finding angle measurement in a right triangle? (e) Can students compute the angle measurement by technology? 5) Student will be able to work with the concept of graphing trigonometric functions Assessment consists of two parts (f) Can students tell how to shift a graph of trigonometric function vertically? (g) Can students successfully sketch a graph of trigonometric function? Assessment Measures Instrument: A collaborative exam will be designed to assess the three Student Outcomes described above. The exam will be distributed to all participated instructors teaching MA 121. Instructors will conduct this during the final exam. All exams will be collected. Each instructor will record students’ performance on each question that corresponded to the topics chosen for the learning outcomes. Numerical results from these exam questions are then converted to percentage scores and finally standardized into the scores of 1, 2, 3, and 4 using the scoring categories below. Scoring system: Each instructor determines the points allotment of each assessment question. Score will be recorded and then translate into percentage. These percentages are then converted to a score of 1, 2, 3 or 4 based on the following scoring categories. The scores are then tabulated in a frequency table to give a combined overview of the students’ performance in the three chosen learning outcomes. Scoring categories: Categories Numeric Categories 1. Exceeds expectations 2. Meets expectations 3. Approaches expectations 4. Does not meet expectations 80 – 100 65 – 79 50 – 64 Below 50 Student Assignment for Assessment Primary investigator conducted an exam to assess how well the above outcomes are met. It was given during the final exam. In Spring 2015 (April – May), we offered 7 sections of MA 121. All 7 sections participated in this assessment. Totally we have result from 103 students. Evidence The following table summarizes the number of students and percentage in each category. (Please see Attachment for details) Student Learning Outcomes SLO2: Student will be able to work with the concept of angles and their measure SLO4: Student will be able to work with the concept of right triangle trigonometry SLO5: Student will be able to with the concept of graphing trigonometric functions Frequency Distribution n=103 SLO2 83 1 Exceeds 4 2 Meets 5 3 Approaches 11 4 Does Not Meet Total 103 SLO4 68 2 5 28 103 Relative Frequency Distribution n=103 SLO2 SLO4 1 Exceeds 80.6% 66.0% 2 Meets 3.9% 1.9% 3 Approaches 4.9% 4.9% 4 Does Not Meet 10.7% 27.2% Total 100.0% 100.0% SLO5 43 10 21 29 103 SLO5 41.7% 9.7% 20.4% 28.2% 100.0% Results from this study show that Student Learning Outcome 5, which asks students to demonstrate the ability to graph trigonometric function, was not met. Only 51.5% of the students meet and exceed expectation. In addition, student performance was slightly low in Student Learning Outcome 4, with 68.0% of the students meeting or exceeding the expectation. This Student Learning Outcomes ask students to demonstrate the ability to work with right triangle trigonometry. Student Learning Outcome 2 ask students to demonstrate the ability to work with the concept of angles and their measure . The outcome is satisfory. Actions (to address results) Department’s ongoing effort is to continue to improve our program and our courses. With the help of this assessment, department and instructors can further identify and concentrate on the areas where students need more improvement in. In the following fall, instructors should gather at the beginning of the semester to discuss any concrete plan for improvement. Assessment Data Collection Form Semester: Spring 2015 Course Name: MATH 121 Elementary Trigonometry Points Allotment Student No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 #1a 5 5 0 5 0 5 5 5 5 5 5 4 5 0 0 5 0 4 5 5 5 5 5 0 5 5 0 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 2 5 5 5 4 5 4 5 5 5 4 5 5 4 5 1 5 5 5 5 5 5 5 5 3 3 5 5 3 5 2 5 5 1 5 5 3 5 5 1 0 5 5 5 5 5 5 2 5 0 3 5 5 5 2 0 5 5 5 5 5 #1b 5 5 0 5 0 5 5 2 0 5 5 1 5 0 0 5 0 5 5 5 5 5 5 0 5 5 0 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 0 5 0 5 5 5 5 5 0 5 5 5 5 5 #1 100% 100% 0% 100% 0% 100% 100% 70% 50% 100% 100% 50% 100% 0% 0% 100% 0% 90% 100% 100% 100% 100% 100% 0% 100% 100% 0% 100% 90% 100% 100% 90% 100% 100% 100% 100% 100% 100% 100% 90% 100% 100% 70% 100% 100% 100% 90% 100% 90% 100% 100% 100% 90% 100% 100% 90% 100% 60% 100% 100% 100% 100% 100% 100% 100% 100% 80% 80% 100% 100% 80% 100% 70% 100% 100% 60% 100% 100% 80% 100% 100% 20% 50% 100% 100% 100% 100% 100% 100% 20% 100% 0% 80% 100% 100% 100% 70% 0% 100% 100% 100% 100% 100% #8a 5 3 3 5 0 5 2 5 1 2 5 6 0 7 0 0 0 5 6 7 1 0 6 0 6 6 6 0 0 5 5 0 5 4 0 5 4 4 5 4 5 0 4 5 5 5 4 1 0 6 6 0 6 3 6 3 6 4 6 6 6 6 0 6 6 6 6 6 0 5 6 5 2 5 3 5 5 1 5 5 5 0 4 5 5 5 0 4 5 0 5 0 4 4 4 5 0 4 5 5 5 5 4 No. of Participated Students Scores No. of Students Percentage Scores No. of Students Percentage Scores No. of Students Percentage 103 1 83 80.6% 1 68 66.0% 1 43 41.7% 2 4 3.9% 2 2 1.9% 2 10 9.7% 3 5 4.9% 3 5 4.9% 3 21 20.4% 4 11 10.7% 4 28 27.2% 4 29 28.2% 1 1 4 1 4 1 1 2 3 1 1 3 1 4 4 1 4 1 1 1 1 1 1 4 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 1 1 4 3 1 1 1 1 1 1 4 1 4 1 1 1 1 2 4 1 1 1 1 1 #8a 100% 60% 60% 100% 0% 100% 40% 100% 20% 40% 100% 86% 0% 100% 0% 0% 0% 71% 86% 100% 14% 0% 100% 0% 100% 100% 100% 0% 0% 100% 100% 0% 100% 80% 0% 100% 80% 80% 100% 80% 100% 0% 80% 100% 100% 100% 80% 17% 0% 100% 100% 0% 100% 50% 100% 50% 100% 67% 100% 100% 100% 100% 0% 100% 100% 100% 100% 100% 0% 83% 100% 100% 40% 100% 60% 100% 100% 20% 100% 100% 100% 0% 80% 100% 100% 100% 0% 80% 100% 0% 100% 0% 80% 80% 80% 100% 0% 80% 100% 100% 100% 100% 80% #10a 3 3 0 3 3 3 3 3 3 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 1 3 3 3 3 3 3 2 3 3 3 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 1 3 3 1 4 1 4 1 4 4 1 1 4 1 4 4 4 2 1 1 4 4 1 4 1 1 1 4 4 1 1 4 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 4 4 1 1 4 1 3 1 3 1 2 1 1 1 1 4 1 1 1 1 1 4 1 1 1 4 1 3 1 1 4 1 1 1 4 1 1 1 1 4 1 1 4 1 4 1 1 1 1 4 1 1 1 1 1 1 SLO2 #10b 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 3 3 3 3 2 3 3 3 3 3 3 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 #10c 4 0 0 0 0 4 0 3 0 1 4 8 6 8 0 6 5 5 8 8 8 6 4 3 6 5 4 4 3 1 0 0 2 5 6 4 6 1 5 5 5 0 0 6 2 5 3 6 0 3 3 2 1 6 3 6 6 2 4 6 0 5 6 6 6 2 6 6 4 3 6 0 1 3 4 1 4 4 0 0 1 0 0 0 0 3 0 1 0 0 6 0 0 0 0 6 0 1 0 6 0 0 0 #10 100% 60% 30% 60% 60% 100% 60% 90% 60% 40% 50% 100% 80% 100% 20% 80% 70% 70% 100% 100% 100% 100% 80% 50% 80% 90% 60% 80% 70% 50% 40% 0% 60% 90% 100% 40% 100% 50% 90% 90% 90% 40% 40% 100% 20% 90% 70% 100% 40% 70% 70% 60% 30% 100% 70% 100% 100% 60% 80% 100% 20% 90% 100% 100% 100% 60% 100% 80% 40% 50% 100% 40% 70% 90% 100% 60% 100% 100% 50% 60% 70% 60% 20% 40% 40% 70% 0% 50% 0% 40% 100% 40% 0% 40% 20% 100% 20% 50% 0% 100% 40% 40% 40% 1 3 4 3 3 1 3 1 3 4 3 1 1 1 4 1 2 2 1 1 1 1 1 3 1 1 3 1 2 3 4 4 3 1 1 4 1 3 1 1 1 4 4 1 4 1 2 1 4 2 2 3 4 1 2 1 1 3 1 1 4 1 1 1 1 3 1 1 4 3 1 4 2 1 1 3 1 1 3 3 2 3 4 4 4 2 4 3 4 4 1 4 4 4 4 1 4 3 4 1 4 4 4 SLO4 SLO5 Sum of 1&2 84.5% Sum of 1&2 68.0% Sum of 1&2 51.5% Sum of 3&4 15.5% Sum of 3&4 32.0% Sum of 3&4 48.5%