Chabot College Program Review Report Check one: _X_ SLO Portion of Upcoming ’16-’17 Program Review (Submitted May 2015 in Preparation for Oct 2015) ___ Revision to ’15-’16 Program Review (Originally Submitted Oct 2014) ___ Revision to ’14-’15 Program Review (Originally Submitted Oct 2013) Submitted on 5/1/15 Contact: Robert Yest 1 Appendix B: “Closing the Loop” Course-Level Assessment Reflections. Course Semester assessment data gathered Number of sections offered in the semester Number of sections assessed Percentage of sections assessed Semester held “Closing the Loop” discussion Faculty members involved in “Closing the Loop” discussion MTH 122 Fall 2014 1 1 100% Spring 2015 1 (bring up at a MMMM to increase the number?) Form Instructions: Complete a separate Appendix B2 form for each Course-Level assessment reported in this Program Review. These courses should be listed in Appendix B1: Student Learning Outcomes Assessment Reporting Schedule. Part I: CLO Data Reporting. For each CLO, obtain Class Achievement data in aggregate for all sections assessed in eLumen. Part II: CLO Reflections. Based on student success reported in Part I, reflect on the individual CLO. Part III: Course Reflection. In reviewing all the CLOs and your findings, reflect on the course as a whole. PART I: COURSE-LEVEL OUTCOMES – DATA RESULTS CONSIDER THE COURSE-LEVEL OUTCOMES INDIVIDUALLY (THE NUMBER OF CLOS WILL DIFFER BY COURSE) (CLO) 1: (Critical Thinking) Analyze mathematical Defined Target Scores* (CLO Goal) 70% Actual Scores** (eLumen data) 88.9% problems critically using logical methodology. If more CLOs are listed for the course, add another row to the table. * Defined Target Scores: What scores in eLumen from your students would indicate success for this CLO? (Example: 75% of the class scored either 3 or 4) **Actual scores: What is the actual percent of students that meet defined target based on the eLumen data collected in this assessment cycle? In this course, ALEKS is used as the primary mode of instruction delivery. In ALEKS, students are periodically given progress assessments on the topics that they have mastered since the last assessment. All assessments are not previously announced and are taken on an honors system with no time limit. For each assessment, we gather the percent of topics mastered that students demonstrated that they retained through the assessment. We average the percent for all students’ assessments. 2 PART II: COURSE- LEVEL OUTCOME REFLECTIONS A. COURSE-LEVEL OUTCOME (CLO) 1: 1. How do your current scores match with your above target for student success in this course level outcome? The above target was set at 70% because most instructors set a passing grade at 70%. The actual results at 88.9% exceeded the target. 2. Reflection: Based on the data gathered, and considering your teaching experiences and your discussions with other faculty, what reflections and insights do you have? The interesting question is that, if the assessment results are so good in ALEKS, why are students grade so poor in math in general? I think the answer lies in the pace at which the students learn. In ALEKS, students set the pace. For each topic, the material is provided for students to study directly relevant to the topic at hand. There is no number of topics that the students have to get through; they just have to put in the time. While some may say that this does not make the student accountable for achievement, there’s little evidence that students would try to cheat the system by not being productive while logged in. MTH 122 does not satisfy any prerequisites. Students choose to take this class to build their skills because they recognize the need to. The only thing that student can get out of MTH 122 is the chance to reassess before the 6 months waiting period is up, and it seems very unlikely that a student would pay $70 for ALEKS for 18 weeks for an opportunity to retake the assessment early and not actually study. The fact that students can retain well on “pop tests” in ALEKS on the topics they learned when there is no time limit is an indication that perhaps theirs is a mismatch in the pace of curriculum set up and what developmental math students can handle for long term learning, not just learning for the test. Based on the student’s work pattern in ALEKS, it appears that students often find it difficult to put in as much time as they know they need to put in, for whatever reason, but for the work they were able to put in, the retention was good. However, students don’t get that feedback in their regular math class via the benefit of an online assessment system. By using ALEKS, students can achieve good retention under ALEKS’s mastery learning format, where students have to get certain number of questions correct in a row before the topic is considered mastered. A mastered topic not answered correctly on the assessment test gets unlisted, and the student has to rework that topic again. I think for developmental students, knowing that they have something to show for the amount of time that they put in is a great motivator. Students know when they don’t put in enough time for a class because of work or other issues, but the data from ALEKS shows that they are capable of learning math skills when the topics are well sequenced to be within the student’s zone of proximal development. The situation working in ALEKS described above contrasts with how in a regular class most students who fall behind are trying to keep up in class with the difficult material when they haven’t mastered the skills needed to learn best but have no way of helping themselves sort out what they really need to concentrate on first. These students are so focused on the next assessment that the teacher will give that they don’t spend the solid amount of 3 time on the fundamentals needed for success. It seems that, to break the cycle of developmental students’ focusing on short term learning goals, these students can benefit from a mastery learning, open-entry-open-exit format in which they don’t have to start from scratch when they repeat the course. 4 PART III: COURSE REFLECTIONS AND FUTURE PLANS 1. What changes were made to your course based on the previous assessment cycle, the prior Closing the Loop reflections and other faculty discussions? None. This is the first time the course is assessed. 2. Based on the current assessment and reflections, what course-level and programmatic strengths have the assessment reflections revealed? What actions has your discipline determined might be taken as a result of your reflections, discussions, and insights? The student’s achievements on the progress assessments in ALEKS reveal that ALEKS is the right product to help students focus on learning and not on grade. Having the assessment managed by the computer, the students get a better understanding of their math skills level and the quality of their learning. Students often don’t practice the best long-term learning trajectory when the grade on their next quiz or test is on the line. Thus, MTH 122 should continue with the way it is if the goal is to help students prepare for their next math course by helping them focus on long-term learning/retention. 3. What is the nature of the planned actions (please check all that apply)? X – Curricular X – Pedagogical Resource based Change to CLO or rubric Change to assessment methods Other: ___________________________________________________ 5 Appendix B: “Closing the Loop” Course-Level Assessment Reflections. Course Semester assessment data gathered Number of sections offered in the semester Number of sections assessed Percentage of sections assessed Semester held “Closing the Loop” discussion Faculty members involved in “Closing the Loop” discussion Math 33 Fall 14 1 1 100% Spring 15 Matt Davis, Christine Coreno, Robert Yest, Dan Quigley, Anita Wah, Miranda Brasleton, Kyle Ishibashi Form Instructions: Complete a separate Appendix B2 form for each Course-Level assessment reported in this Program Review. These courses should be listed in Appendix B1: Student Learning Outcomes Assessment Reporting Schedule. Part I: CLO Data Reporting. For each CLO, obtain Class Achievement data in aggregate for all sections assessed in eLumen. Part II: CLO Reflections. Based on student success reported in Part I, reflect on the individual CLO. Part III: Course Reflection. In reviewing all the CLOs and your findings, reflect on the course as a whole. PART I: COURSE-LEVEL OUTCOMES – DATA RESULTS CONSIDER THE COURSE-LEVEL OUTCOMES INDIVIDUALLY (THE NUMBER OF CLOS WILL DIFFER BY COURSE) Defined Target Scores* (CLO Goal) (CLO) 1: See Attachment See Attachment Actual Scores** (data from eLumen or your own tracking) See Attachment (CLO) 2: See Attachment See Attachment See Attachment (CLO) 3: See Attachment See Attachment See Attachment (CLO) 4: See Attachment See Attachment See Attachment If more CLOs are listed for the course, add another row to the table. * Defined Target Scores: What scores in eLumen from your students would indicate success for this CLO? (Example: 75% of the class scored either 3 or 4) **Actual scores: What is the actual percent of students that meet defined target based on the eLumen (or your own) data collected in this assessment cycle? 6 PART II: COURSE- LEVEL OUTCOME REFLECTIONS A. COURSE-LEVEL OUTCOME (CLO) 1: 3. How do your current scores match with your above target for student success in this course level outcome? See Attachment 4. Reflection: Based on the data gathered, and considering your teaching experiences and your discussions with other faculty, what reflections and insights do you have? See Attachment B. COURSE-LEVEL OUTCOME (CLO) 2: 1. How do your current scores match with your above target for student success in this course level outcome? See Attachment 2. Reflection: Based on the data gathered, and considering your teaching experiences and your discussions with other faculty, what reflections and insights do you have? See Attachment C. COURSE-LEVEL OUTCOME (CLO) 3: 1. How do your current scores match with your above target for student success in this course level outcome? See Attachment 2. Reflection: Based on the data gathered, and considering your teaching experiences and your discussions with other faculty, what reflections and insights do you have? See Attachment D. COURSE-LEVEL OUTCOME (CLO) 4: 1. How do your current scores match with your above target for student success in this course level outcome? See Attachment 2. Reflection: Based on the data gathered, and considering your teaching experiences and your discussions with other faculty, what reflections and insights do you have? See Attachment E. COURSE-LEVEL OUTCOME (CLO) 5: ADD IF NEEDED. 7 PART III: COURSE REFLECTIONS AND FUTURE PLANS 4. What changes were made to your course based on the previous assessment cycle, the prior Closing the Loop reflections and other faculty discussions? See Attachment 5. Based on the current assessment and reflections, what course-level and programmatic strengths have the assessment reflections revealed? What actions has your discipline determined might be taken as a result of your reflections, discussions, and insights? See Attachment 6. What is the nature of the planned actions (please check all that apply)? Curricular Pedagogical Resource based Change to CLO or rubric Change to assessment methods Other:_________________________________________________________________ 8 Appendix C: Program Learning Outcomes Considering your feedback, findings, and/or information that has arisen from the course level discussions, please reflect on each of your Program Level Outcomes. Program: __Math AA, AS, AS-T____ PLO #1: Analyze mathematical problems critically using logical methodology. PLO #2: Communicate mathematical ideas, understand definitions, and interpret concepts. PLO #3: Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically. What questions or investigations arose as a result of these reflections or discussions? See Attachment What program-level strengths have the assessment reflections revealed? See Attachment What actions has your discipline determined might be taken to enhance the learning of students completing your program? See Attachment 9 Student Learning Outcomes for the Math Subdivision After one year since we adopted the new process, the Math Subdivision has continued meeting to discuss student success—by sharing best practices for teaching math at various levels in a series of robust discussions. These monthly meetings are a resounding success. While success to many is only seen in student success, we feel that the enthusiastic reaction to the shared ideas with commitment to try to implement the suggestions in our classrooms is what we feel to be success. Validation of student success will come later in our next assessment cycle. We met throughout the academic year on the last Tuesday of each month. During this past year, we discussed approximately 40% of the topics laid out documented in last Program Review. Below is that list. The yellow highlights indicate those topics discussed. Program Level Multiple New Full Time Faculty Members – Robert Yest and Charlene Wieser presented the case for 5 new hires. The math subdivision did get 2 new hires. THIS IS STILL AN ISSUE. With new faculty members retiring, we are still struggling to backfill those positions that we lost due to recent retirements. Technology as a Tool for Instruction – Adolf Oliver presented his online program to help students’ learning. It blends an ongoing assessment with material allowing for repeated material addressing students’ weekness. Placement Exam Revision Curriculum Math 36/37 into 20 Transitions Math 20 to prepare for Math 1, 2, 3, 4, 6, and 8. Converting Math 103/104 into Non-Credit Using results to compare old 65/55 to new 65/55 sequence. – While not enough data is available to sufficiently compare the two sequences. We did discuss the current issues. The main one here is the new textbook. We analyzed the sequence of sections to try to present the best approach to the topics. During this detailed discussion we developed a suggested approach for 1) Functions: Domains, Ranges, Inverses, etc., 2) Variation, 3) Graphing Equations from the Point Slope forms, 4) Exponential and Log functions, 5) Rational Functions, and 6) Translations. What surprised us was how a simple discussion of order of sections presented could lead to a robust discussion on how to prepare and introduce the topic to the students in an effective way. For the discussion of functions we also included how to build on the concept from the algebra sequence into 37 (Trigonometry) and 20 (Pre-Calculus). Success in 53/43 vs. 65/55/43 compared to 53 vs. 65/55 10 Pathway Level Definition of Functions (See Above) Inverse Functions and their Domains and Ranges (See Above) Polar Coordinates Visualizing Topics Interpretations / Applications Course Level Percents Variation (See Above) Pt-Slope Equations (See Above) Taylor Series Binomial Distribution In addition to the Program Review’s list from last year, we included new topics that focus on the student themselves: Student Level Learning/Study Skills – Matt Davis led a discussion to where we discussed many different approaches to encourage students to improve their study skills. This includes detailing the many different forms studying can take. We created a list of suggestions from each of us to pass on to the student. This gives students suggestions beyond simply doing homework. Also, we shared our incentives to motivate students to improve on previous mistakes rather than dwell on them. Critical Thinking – In March Doris Hanhan and Robert Yest participated in Chabot’s discussion for measuring and assessing the College Wide Learning Goal, Critical Thinking. Doris took the recommendations and led the healthy discussion on how to implement the suggestions from that meeting. The broad scope of ideas offered a multi-faceted approach, from types of questions to ask on a test, to how to approach a problem in class, to using tests scoring as a tool to understand what why we ask those types of questions getting students to analyze the material conceptually and away from the problem itself. Since last Program Review, two courses were assessed: Math 33 and Math 122. Math 122 was assessed, and its Closing the Loop is included above. Math 33 was surveyed in Fall 14 in the same manner as the other math courses. We discussed 33 in context of all our courses, and the results are included below. What we found was that the issues to be addressed were in line and included in the list we determined last year. 11 It was brought up about prerequisites. Seeing that the target audience for 33 is Business students and non-STEM GE students, we felt that Math 53 could serve as a prerequisite. Also we would like to partner with our Business faculty to determine how best to market this course. We will be investigating that in the future year. Results for Student Learning Outcomes for Math 2014 including 33 Course Survey Ques # 37 37 37 37 37 37 37 37 37 37 20 20 20 20 20 20 20 20 20 20 1 1 1 1 1 1 1 1 1 1 2 2 2 10 4 8 6 5 7 1 9 3 2 10 5 3 7 4 6 1 8 9 2 1 6 10 7 9 5 2 8 4 3 5 2 8 Type of Question Graph a Polar Equation Finding Areas of Plane Regions * Domains & Ranges of Inverse Trig Fns Solving Trigonometric Equations Graphing Trigonometric Functions * Finding Trig Function Values w/ Identities Triangle Congruence Proofs Law of Sines and Law of Cosines Solving Triangles Using Right Trangle Thms Angle Measures Using Basic Theorems Converting Polar Equations Polar Graphing Right Triangle Geometry * Range of 1-1 Functions * Translations and Transformaitons Polynomial Graphing Log Equations Sequences Series Polynomial Factoring * Epsilon Delta * Mean Value Theorem Volumes Concavity * Riemann Sum Implicit Differentiation Continuity Integral Computation of Derivative Definition of Derivative Taylor Series * Natural Logarithm (Calculus) Definition Inverse Trigonometric Derivatives 12 # of Low Total Percent Outliers Students (**) 53 36 32 24 22 22 18 12 5 3 35 33 27 27 26 25 20 14 11 4 66 40 31 19 19 16 14 3 2 1 50 37 25 100 100 100 100 100 100 100 100 100 100 86 86 86 86 86 86 86 86 86 86 87 87 87 87 87 87 87 87 87 87 84 84 84 53.00% 36.00% 32.00% 24.00% 22.00% 22.00% 18.00% 12.00% 5.00% 3.00% 40.70% 38.37% 31.40% 31.40% 30.23% 29.07% 23.26% 16.28% 12.79% 4.65% 75.86% 45.98% 35.63% 21.84% 21.84% 18.39% 16.09% 3.45% 2.30% 1.15% 59.52% 44.05% 29.76% 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 9 7 1 4 10 6 3 9 10 5 4 8 6 1 7 2 3 10 1 4 6 9 3 8 2 7 5 Interval of Convergence Polar Area * Geometric Series Convergence Trigonometric Integrals Improper Integral L'Hopital's Rule Integration by Parts Divergence Theorem * Line Integral Applications Optimization * Gradient Properties Green's Theorem Volumes 3D Geometry Spherical Integration Tangent Vectors Partial Derivatives Laplace Transformations * Existence and Uniqueness Theorem Exact DE * Definition of Fundamental Set Power Series Solutions First Order Linear DE Higher Order Linear Differential Equaitons Verifying Solutions Variation of Parameters IVP 22 20 11 11 10 8 2 32 27 23 21 12 7 5 5 3 3 16 15 12 8 7 3 3 1 1 0 84 84 84 84 84 84 84 58 58 58 58 58 58 58 58 58 58 25 25 25 25 25 25 25 25 25 25 26.19% 23.81% 13.10% 13.10% 11.90% 9.52% 2.38% 55.17% 46.55% 39.66% 36.21% 20.69% 12.07% 8.62% 8.62% 5.17% 5.17% 64.00% 60.00% 48.00% 32.00% 28.00% 12.00% 12.00% 4.00% 4.00% 0.00% 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 9 5 8 10 7 6 1 4 2 3 4 6 7 3 10 Orthonormal Bases Rank and Nullity of a Matrix Linear Transformations Eigenvectors and Eigenvalues * Definition of Vector Spaces Column Spaces Gauss-Jordan Elimination Method * Linear Independence Inverse Matrices Determinant * Countability Modular Arithmetic * Proof by Contradiction Sets Counting Techniques 18 11 11 9 8 5 4 3 1 1 13 12 11 10 10 34 34 34 34 34 34 34 34 34 34 26 26 26 26 26 52.94% 32.35% 32.35% 26.47% 23.53% 14.71% 11.76% 8.82% 2.94% 2.94% 50.00% 46.15% 42.31% 38.46% 38.46% 13 8 8 8 8 8 103 103 103 103 103 103 103 103 103 103 104 104 104 104 104 104 104 104 104 104 65 65 65 65 65 65 65 65 65 65 55 55 55 55 55 55 55 9 2 5 8 1 3 10 8 7 9 1 5 6 2 4 5 8 4 10 7 9 2 3 1 6 9 5 6 10 4 8 7 2 3 1 9 6 7 8 3 10 4 Discrete Probability Symbolic Logic Euclidean Algorithm RSA Encription Rules of Inference Graphing Fractions * Proportions Simplification of Fractions Percents * Contrasting Different Measurments Words to Decimal Conversion Decimal Division Rounding Adding Fractions Decimal Subrtraction Application of Roots Volume Circular Computations * Simplifying vs. Evaluating Percents * Interpretaion of Computations Evaluating Expressions Linear Equations Order of Operations Square Roots Percents Solving System of Equations Equations of Lines from Points * Vertical Slopes Simplifying Rational Expressions Graphing Lines * Explain "Canceling" Algebra of Polynomials Factor Trinomials Linear Equations Logrithmic Functions Exponential Applications * Definition of Function Exponential Graphing Inverses Rationalizing Denominators Complex Numbers 14 5 4 3 3 0 26 26 24 17 10 8 8 6 4 3 65 55 47 38 34 30 25 9 8 7 91 78 55 49 46 40 35 29 11 7 127 119 84 81 66 61 43 26 26 26 26 26 49 49 49 49 49 49 49 49 49 49 143 143 143 143 143 143 143 143 143 143 192 192 192 192 192 192 192 192 192 192 280 280 280 280 280 280 280 19.23% 15.38% 11.54% 11.54% 0.00% 53.06% 53.06% 48.98% 34.69% 20.41% 16.33% 16.33% 12.24% 8.16% 6.12% 45.45% 38.46% 32.87% 26.57% 23.78% 20.98% 17.48% 6.29% 5.59% 4.90% 47.40% 40.63% 28.65% 25.52% 23.96% 20.83% 18.23% 15.10% 5.73% 3.65% 45.36% 42.50% 30.00% 28.93% 23.57% 21.79% 15.36% 55 55 55 33 33 33 33 33 33 33 33 33 33 31 31 31 31 31 31 31 31 31 31 5 2 1 5 2 6 9 3 10 1 8 4 7 9 5 2 8 3 4 1 6 10 7 Radical Equations Absolute Value Inequalities Quadratic Formula Payments into an Account Matrix Addition / Transposes Probability Discrete Random Variables Gauss-Jordan Elimination Method System of Linear Inequality Matrix Multiplication * Reduced Row Eshelon Compound Interest Application of Probability Exponential Models * Determining Domains Binomial Expansion * Quadratic Modeling Logarithmic Equations Graphing of Rational Functions * Interpret Graphs Geometric Series Rational Inequalities Rational Equations 39 11 4 6 5 5 5 4 4 3 3 2 2 26 25 23 23 22 22 20 18 18 6 280 280 280 18 18 18 18 18 18 18 18 18 18 93 93 93 93 93 93 93 93 93 93 13.93% 3.93% 1.43% 33.33% 27.78% 27.78% 27.78% 22.22% 22.22% 16.67% 16.67% 11.11% 11.11% 27.96% 26.88% 24.73% 24.73% 23.66% 23.66% 21.51% 19.35% 19.35% 6.45% 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 7 8 5 10 4 9 1 6 2 3 8 9 10 7 2 4 6 1 3 Exponential Models Using Derivatives To Sketch A Graph Related Rates * Intermediate Value Theorem Differentiation Rules For Exp And Logs * Continuity At A Point Evaluate Limits Cancavity And Inflection Points Equations Of Tangent Lines Find Derivatives Using Differentiation Rules Continuous Random Variable Probabilities Optimization Problems Related Rates Taylor Series Representation Improper Integral Double Intervals Separable Differential Equations Integration By Parts Partial Derivatives 25 18 16 15 11 11 9 5 3 2 4 4 4 3 2 1 1 0 0 46 46 46 46 46 46 46 46 46 46 6 6 6 6 6 6 6 6 6 54.35% 39.13% 34.78% 32.61% 23.91% 23.91% 19.57% 10.87% 6.52% 4.35% 66.67% 66.67% 66.67% 50.00% 33.33% 16.67% 16.67% 0.00% 0.00% 15 16 54 54 54 54 54 54 54 54 54 54 53 53 53 53 53 53 53 53 53 53 5 10 3 5 8 6 4 1 2 7 9 10 4 1 3 5 9 6 7 8 2 Differentiate A Trigonometric Functions Variation Applications of System of Equations Rates * Choosing an Appropriate Model Exponential Models Interpretation of Functional Models * Interpret Linear Models Equations for Parallel Lines Exponential Equations Quadratic Graphing Variation Empirical Rule for Normal Distributions Geometry and Measurement * Interpreting the Slope of a Line Dimensional Analysis Exponential Models Linear Models for Real Situations Function Notation Scatterplots Mean and Median 0 33 26 20 14 13 8 7 5 5 5 46 38 32 21 20 19 18 12 7 5 6 59 59 59 59 59 59 59 59 59 59 97 97 97 97 97 97 97 97 97 97 0.00% 55.93% 44.07% 33.90% 23.73% 22.03% 13.56% 11.86% 8.47% 8.47% 8.47% 47.42% 39.18% 32.99% 21.65% 20.62% 19.59% 18.56% 12.37% 7.22% 5.15% 43 43 43 43 43 43 43 43 43 43 5 7 10 3 9 8 4 1 2 6 * Linear Regression Binomial Distribution Hypothesis Testing * Interpreting Plots Confidence Intervals Normal Distribution Using Box Plots * Types of Studies Finding Measures ofCcenter and Spread Conditional Probability 146 106 96 94 91 61 52 45 42 34 357 357 357 357 357 357 357 357 357 357 40.90% 29.69% 26.89% 26.33% 25.49% 17.09% 14.57% 12.61% 11.76% 9.52% 16 Expected Grade Course 37 20 1 2 3 4 6 8 33 31 15 16 54 53 43 55 65 103 104 # Students 96 85 87 80 56 24 32 26 18 91 45 6 59 90 343 275 186 47 137 A 19.8% 27.1% 18.4% 22.5% 37.5% 41.7% 59.4% 15.4% 16.7% 20.9% 20.0% 33.3% 6.8% 11.1% 31.8% 18.5% 10.8% 19.1% 19.0% B 38.5% 27.1% 41.4% 38.8% 33.9% 33.3% 28.1% 57.7% 33.3% 41.8% 37.8% 33.3% 35.6% 31.1% 37.9% 34.2% 38.2% 42.6% 34.3% 17 C 32.3% 32.9% 29.9% 36.3% 26.8% 16.7% 9.4% 23.1% 27.8% 29.7% 35.6% 16.7% 44.1% 41.1% 25.7% 42.2% 43.0% 31.9% 34.3% D 5.2% 9.4% 9.2% 1.3% 1.8% 8.3% 3.1% 3.8% 16.7% 5.5% 4.4% 0.0% 6.8% 11.1% 2.9% 4.0% 6.5% 0.0% 9.5% F 4.2% 3.5% 1.1% 1.3% 0.0% 0.0% 0.0% 0.0% 5.6% 2.2% 2.2% 16.7% 6.8% 5.6% 1.7% 1.1% 1.6% 6.4% 2.9% Confidence in Math Course 37 20 1 2 3 4 6 8 33 31 15 16 54 53 43 55 65 103 104 # Students 95 84 87 83 56 25 33 26 18 93 46 6 59 93 348 275 185 47 134 Improved 71.6% 46.4% 66.7% 72.3% 69.6% 80.0% 75.8% 88.5% 72.2% 62.4% 78.3% 33.3% 62.7% 61.3% 74.4% 68.7% 68.6% 72.3% 67.9% 18 Same 18.9% 41.7% 24.1% 21.7% 23.2% 12.0% 21.2% 7.7% 16.7% 30.1% 17.4% 50.0% 28.8% 23.7% 18.7% 24.7% 23.2% 27.7% 23.9% Worse 9.5% 11.9% 9.2% 6.0% 7.1% 8.0% 3.0% 3.8% 11.1% 7.5% 4.3% 16.7% 8.5% 15.1% 6.9% 6.5% 8.1% 0.0% 8.2%