ࡱ>  O(bjbj i1gi1gn n $$$$PtX<$ *)))))))$+j.))4)^))VA%@&ЪL&j% u))0 *%x11&&1&\)) *1n X : MATH 126 Precalculus I Section Number(s): 1001 Instructor: Lynne Owens Academic Year: 2020-2021 Semester: Fall Number of Students in the class: 7 Complete and submit your assessment report electronically to your department chair. Course and general education outcomes are counted as achieved if 62% or more of students answered the problems associated with the outcome correctly. As needed, please attach supporting documents and/or a narrative description of the assessment activities. All the learning outcomes must be completed otherwise the assessment is considered as incomplete. General Education ObjectivesClass/Course OutcomesAssessment MeasuresCourse Outcome Assessment ResultsGeneral Education Outcome Assessment ResultsOutcome Results Analysis In the boxes below, summarize the outcomes assessed in your class or course during the last year. If this is a GenEd class, include the appropriate GenEd objectives. In the boxes below, list the proctored assignments and which problems on those assignments you used to assess each outcome.In the boxes below, give the percentage of students who answered the problems correctly and indicate if the course outcome was achieved. Success: More than 62% of students earned higher than 80% score on problemsIn the boxes below, give the average of the percentages of students who met course learning outcomes and indicate if the general education outcome was achieved. Success: 62%In the boxes below, please reflect on this outcomes results and summarize how you plan to use the results to improve student learning.Demonstrate knowledge Of mathematical notation and conceptsOutcome #1: Solve a variety of equations including polynomial, exponential and logarithmic . Proctored assignment: Ch. 6 and 11 Exam #9 #10 Results: Average percentage: 58.33% Criterion Met: Yes/NoAverage percentage: 71.89% Criterion Met: Yes/No1. Results Analysis: Students struggled with solving logarithmic and exponential equations. This held true with Outcome #3 where students needed to use the log properties to simply expressions or solve equations. For Outcome #2 students had difficulty mastering composition of functions and understanding the inverse of a function. For Outcome #4, students had difficulty interpreting the role multiplicity plays in the shape of the graph, finding intervals of monotonicity, and understanding the relationship between relations and their inverses, using the Rational Zeros Theorem, and analyzing polynomial and rational functions generally. For Outcome #5, Half of the students had trouble generating all of the solutions to a nonlinear system. For Outcome #6 Students had no difficulty with the first step of setting up the partial fraction decomposition problem. For Outcome #7 students had the most difficulty simplifying a quotient involving a complex number in the denominator and simplifying the imaginary unit raised to a power. For Outcome #8 Students had difficulty using Cramers rule to solve a system of equations. 2. Action Plan: See below for action planOutcome #2: Operate on functions, including basic mathematical operations, composition, and inversion Proctored assignment: Ch. 4 #7 #9 #10 Problem numbers: Results: Average percentage: 53.33% Criterion Met: Yes/NoOutcome #3: Use the properties of logarithms Proctored assignment: Ch. 6 and 11 Exam #9 #10 Problem numbers: Results: Average percentage: 58.33% Criterion Met: Yes/NoOutcome #4: Analyze functions by finding roots turning points, and asymptotesProctored assignment: Ch. 3 #3 Ch. 4 Exam #4, 5, 6 Ch. 5 Exam #8 #9 #10 #11 Results: Average percentage: 50% Criterion Met: Yes/NoOutcome #5: Solving system of nonlinear equationsProctored assignment: Ch. 6 and 11 Exam #15 Results: Average percentage: 50% Criterion Met: Yes/NoOutcome #6: Find the partial fraction decomposition of a rational expressionProctored assignment: Ch. 6 and 11 Exam #14 Results: Average percentage: 50% Criterion Met: Yes/NoOutcome #7: Manipulate complex numbers and understand their relationship to the solutions of polynomial and rational equationsProctored assignment: Ch. 5 Exam #1 #2 #3 Results: Average percentage: 61.11% Criterion Met: Yes/NoOutcome #8: Solve systems of equations using various methods including elimination, matrices, and determinantsProctored assignment: Ch. 6 and 11 Exam #11 #12 #13 Results: Average percentage: 72.22% Criterion Met: Yes/No Apply mathematical concepts and operations in proper written or graphical format Outcome #9: Graph a variety of functions including logarithmic, polynomial, rational, and exponential functions Proctored assignment: Ch.2 #5 Ch. 3 Exam #6 #8 #9 #10 Ch. 4 Exam #2 #3 Ch.5 #4 #11 Ch. 6 and 11 Exam #1 #5 Results: Average percentage: 71.79% Criterion Met: Yes/No Average percentage: 69.31% Criterion Met: Yes/No1. Results Analysis: For Outcome #9, students had difficulty graphing the transformation of a graph if there were multiple transformations at play. They also had difficulty with graphing rational functions. For Outcome #10, students had trouble with anything to do with a circle, from reading the center and radius from the equation and getting an equation in center-radius form to graphing a circle. For Outcome #11, some students had difficulty with the difference quotient and composition of functions notation. 2. Action Plan: See below. Outcome #10: Identify, obtain, and graph the equations of circles and parabolas Proctored assignment: Ch. 2 Exam #2 #3 Results: Average percentage: 47.22% Criterion Met: Yes/NoOutcome #11: Demonstrate the appropriate mathematical format and notation in solving problems Proctored assignment: Ch. 3 Exam #2 Ch. 4 Exam #7, 8 Results: Average percentage: 66.67% Criterion Met: Yes/NoApply relevant mathematical skills in solving real-word problemsOutcome #12 Use mathematical functions to model real-world phenomena Proctored assignment: Ch 3 Exam #10 Ch. 6 and 11 Exam #3 #4 #7 #8 : Results: Average percentage: 70% Criterion Met: Yes/NoAverage percentage: 74.29% Criterion Met: Yes/No1. Results Analysis: Students had the most difficulty with the compound interest formula when solving for the interest rate. 2. Action Plan: See below.Notes: This section was a synchronous online class. When compared with my purely online section, these students encountered difficulty with the same issues as my online students, but at a higher rate, but still at a lower rate than the inaugural class of Fall 2020. I think my lack of expertise in conducting synchronous online instruction played a role. Following through on most of the changes from Fall 2020, including having students introduce themselves to the embedded tutor and to a tutor at TutorMe made students more willing to use those resources throughout the semester. Changes for Fall 2021: Go back to a flipped model of instruction where students read the text and watch lecture videos outside of class and work problems in class. Use a reading platform like Perusall that will enable students to read the text/articles and annotate publicly. Develop a specifications grading model tied more closely to the learning outcomes. Develop short rubrics for problems so students know exactly what constitutes competency for a given problem. 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