Kwai Chiu Assessment Institute Spring 2014 MA 128 Course Assessment Report Overview of Course Assessment MA 128, Calculus for Technical and Business Students, is a second-level course required for the following curricula in the Associate in Applied Science (AAS) Degree program. It is also one of the General Education core requirements for these curricula. Computer Engineering Technology Electronic Engineering Technology Computerized Architectural Technology Laser and Fiber Optics Technology Mechanical Engineering Technology Telecommunications Technology Student Learning Outcomes and General Education Objectives This assessment will focus on the following Student Learning Outcomes: 3) Student will be able to work with the concept of derivatives 4) Student will be able to work with the concept of integration 5) Student will be able to determine and apply appropriate mathematical methods and skills to solve problem 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. (For the complete Student Learning Outcomes for MA 128 and General Education Objective, see Appendix A and Appendix B) More Descriptions about those three Student Learning Outcomes being assessed 3) Student will be able to work with the concept of derivatives Assessment consists of three parts (a) Can students identify an appropriate method in taking the derivative of a function by power rule, product rule, quotient rule and chain rule? (b) Can students compute the derivative of a function? (c) Can students simplify the derivative in the simplest form? 4) Student will be able to work with the concept of integration Assessment consists of two parts (d) Can students identify an appropriate method in taking the integral of a function by simple rules and substitution? (e) Can students compute the integral of a function? 5) Student will be able to determine and apply appropriate mathematical methods and skills to solve problem Assessment consists of two parts (f) Can students find the maximum and the minimum of a polynomial and any other mathematical model by applying the derivative concept they learned? (g) Can students find the area between two curves by applying the integration concept they learned? Assessment Measures Instrument: A collaborative 30 minute quiz will be designed to assess the three Student Outcomes described above. The quiz will be distributed to all participated instructors teaching MA 128. Instructors will be asked to conduct this quiz in the following week. All quizzes will be collected. Primary investigator(s) will record students’ performance on each question that corresponded to the topics chosen for the learning outcomes. Numerical results from these quiz 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 question carries 100 points. Primary investigator will score each question in the scale from 0 to 100. These scores 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 a 30 minutes quiz (please see Attachment A) to assess how well the above outcomes are met. It was given during the later part of the semester. In Spring 2014, we offered 7 sections of MA 128. Of which 5 sections participated in this assessment. Totally we have result from 46 students. Evidence The following table summarizes the number of students and percentage in each category. (Please see Attachment B for details) Student Learning Outcomes SLO3: Student will be able to work with the concept of derivatives SLO4: Student will be able to work with the concept of integration SLO5: Student will be able to determine and apply appropriate mathematical methods and skills to solve problem Frequency Distribution n=46 SLO3 1 Exceeds 10 2 Meets 11 3 Approaches 11 4 Does Not Meet 14 Total 46 SLO4 9 9 11 17 46 Relative Frequency Distribution n=46 SLO3 SLO4 1 Exceeds 21.7% 19.6% 2 Meets 23.9% 19.6% 3 Approaches 23.9% 23.9% 4 Does Not Meet 30.4% 37.0% Total 100.0% 100.0% SLO5 6 8 7 25 46 SLO5 13.0% 17.4% 15.2% 54.3% 100.0% Results from this study show that Student Learning Outcome 5, which asks students to demonstrate the ability to apply appropriate mathematical methods and skills to solve problem, was not met. Only 30.4% of the students meet and exceed expectation. In addition, student performance was also low in Student Learning Outcome 3 & 4, with merely 45.7% and 39.1% of the students meeting or exceeding the expectation. These Student Learning Outcomes ask students to demonstrate the ability to work with the concept of derivatives and integration. Note that the question chosen for SLO5 assessment was carefully designed so that the students’ performance in SLO3 & 4 would not affect the result in assessing SLO5. In fact, detail study shows 50% of the students performed better in SLO5 compare to SLO3 and 50% of the students performed worse. Therefore the result of SLO5 is independent of the result of SLO3. 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. Attachment A MA-128 Assessment (Spring 2014) _________________ Please show your work clearly 1. Find dy for each function dx (a) y (3x 2 5x 7)9 (b) y 5 3x 1 (c) y (3x 4 8) e x (d) y x3 2 ex 2. Find each integral (a) 8e x dx Name: 5 (b) x dx (c) 4x (d) 7 dx 15 dx 3. Given the profit function P( x) 12 x 5 3x 2 where x is the production level in thousand and P is the profit in million dollars. Applying the derivative concept you learned, find the production level that yields the maximum profit. What is the maximum profit? Attachment B 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 Max Pt Average % 1a 15 15 15 0 20 0 10 18 15 20 20 0 15 20 20 20 20 20 20 20 20 15 0 0 20 5 20 15 20 20 20 15 0 20 18 20 20 20 20 20 20 15 12 20 20 20 25 62.4% 1b 5 0 15 0 0 5 0 0 0 25 25 0 0 20 20 20 20 20 20 15 20 15 0 0 25 0 0 0 20 13 0 0 0 20 20 20 15 10 18 15 20 10 15 20 20 18 25 45.6% 1c 25 0 20 0 0 25 25 0 0 25 0 0 0 20 20 25 20 25 15 15 0 23 22 0 15 10 18 10 20 15 20 20 0 25 18 20 20 20 20 20 15 15 10 20 0 10 25 56.2% 1d 10 0 20 0 0 20 20 15 0 0 0 20 0 20 20 20 20 25 15 15 20 15 25 0 20 0 13 20 20 15 20 15 0 20 10 20 15 18 20 20 20 15 8 20 13 15 25 55.4% Total 55 15 70 0 20 50 55 33 15 70 45 20 15 80 80 85 80 90 70 65 60 68 47 0 80 15 51 45 80 63 60 50 0 85 66 80 70 68 78 75 75 55 45 80 53 63 100 54.9% Score 3 4 2 4 4 3 3 4 4 2 4 4 4 1 1 1 1 1 2 2 3 2 4 4 1 4 3 4 1 3 3 3 4 1 2 1 2 2 2 2 2 3 4 1 3 3 No. of Participated Students 46 Scores 1 2 3 4 No. of Students 10 11 11 14 Max Pt Average % Sum of 1&2 Sum of 3&4 Percentage 21.7% 23.9% 23.9% 30.4% SLO3 45.7% 54.3% 2a 15 25 25 0 0 0 20 20 15 25 0 0 5 15 0 25 15 25 25 20 20 0 25 20 20 5 15 15 0 15 0 10 0 25 15 15 12 15 20 5 25 25 0 25 0 0 25 52.3% 2b 0 5 20 0 0 0 5 5 5 20 0 0 10 15 0 25 20 15 20 5 20 15 0 5 5 0 0 5 0 5 5 5 0 20 0 10 5 15 20 20 5 15 0 20 20 25 25 35.7% 2c 20 5 25 10 0 20 25 25 5 25 25 20 20 20 20 25 15 0 20 5 10 0 15 0 20 20 15 5 5 20 15 10 15 25 0 0 18 20 25 20 25 15 0 25 5 15 25 58.5% 2d 15 25 25 0 15 15 25 25 25 25 25 25 25 15 15 25 5 25 25 25 25 15 15 25 25 15 15 0 15 25 15 15 25 25 25 5 23 15 25 15 25 25 0 25 5 25 25 75.9% Total 50 60 95 10 15 35 75 75 50 95 50 45 60 65 35 100 55 65 90 55 75 30 55 50 70 40 45 25 20 65 35 40 40 95 40 30 58 65 90 60 80 80 0 95 30 65 100 55.6% Score 3 3 1 4 4 4 2 2 3 1 3 4 3 2 4 1 3 2 1 3 2 4 3 3 2 4 4 4 4 2 4 4 4 1 4 4 3 2 1 3 1 1 4 1 4 2 Scores 1 2 3 4 No. of Students 9 9 11 17 Max Pt Average % Sum of 1&2 Sum of 3&4 Percentage 19.6% 19.6% 23.9% 37.0% SLO4 39.1% 60.9% 3 25 10 85 10 55 70 85 40 10 85 85 25 10 70 25 70 65 55 25 25 10 60 55 10 55 10 25 25 70 25 10 25 25 85 55 10 10 70 70 60 70 25 10 85 10 10 125 41.4% Score 4 4 1 4 3 2 1 4 4 1 1 4 4 2 4 2 2 3 4 4 4 3 3 4 3 4 4 4 2 4 4 4 4 1 3 4 4 2 2 3 2 4 4 1 4 4 Scores 1 2 3 4 No. of Students 6 8 7 25 Sum of 1&2 Sum of 3&4 Percentage 13.0% 17.4% 15.2% 54.3% SLO5 30.4% 69.6%