Mathematics Program Review 2011 1 PROGRAM REVIEW RIVERSIDE CITY COLLEGE MATHEMATICS DISCIPLINE ACADEMIC YEAR 2011-2012 A. Mission and Relationship to the College The Mathematics Discipline at Riverside City College is synonymous with the Mathematics Department at RCC. The departmental mission statement reads as follows: The Mathematics Department of Riverside City College empowers a diverse community of students to develop mathematical potential to meet their academic, professional, and lifelong learning goals. The mission of Riverside City College reads as follows: Riverside City College provides a high-quality, affordable education, including comprehensive student services, student activities, and community programs, and empowers and supports a diverse community of learners as they work toward individual achievement and life-long learning. To help students achieve their goals, the College offers learning support services, pre-college and transferable courses, and career and technical programs leading to certificates or associate degrees. Based on a learnercentered philosophy, the College fosters critical thinking, develops information and communication skills, expands the breadth and application of knowledge, and promotes community and global awareness. The Mathematics Department serves the following areas of the College Mission: Transfer – Courses include Trigonometry, College Algebra, Statistics, Survey of Mathematics, Discrete Mathematics for Computer Science, Introduction to Symbolic Logic, Precalculus, Calculus - A Short Course, Calculus I, II, and III, Differential Equations, Linear Algebra, Mathematica Basic Skills – Courses include Arithmetic, Pre-Algebra, College Geometry, Elementary Algebra, Math Modules Career and Technical Education Programs Pre-Algebra is required for Dental Assistant Intermediate Algebra and Trigonometry are required for Engineering Technician College Algebra and Trigonometry are required for Engineering Technology, Calculus – A Short Course and/or Statistics serve as electives to the Engineering Technology program Math is required as a prerequisite to Nursing Mathematics Program Review 2011 2 AA/AS Graduation Requirement – Intermediate Algebra General Education – Any math course numbered 1 – 49 may fulfill one of the course requirements for the Language and Rationality (Communication and Analytical Thinking) requirement Prerequisites Intermediate Algebra is prerequisite for Chem 1A & 1AH Elementary Algebra is prerequisite for Chem 2A and 3 Calculus I is prerequisite for Physics 2A and 4A Calculus II is prerequisite for Physics 4B and 4C Elementary Algebra is prerequisite for Physics 10 STEM – Courses include Trigonometry, Precalculus, Calculus I, II, and III, Differential Equations, Linear Algebra, Statistics, Calculus - A Short Course Department members strive to provide a high-quality learning environment for students, to exhibit excellence in teaching, and to be responsive to the needs of the student populations served. In its 2008 program review, the mathematics discipline district-wide identified seven goals. These will be listed, discussed, and updated in the “History” section of this document. Since that time, the College has developed an annual instructional unit planning process in which each unit develops goals and activities aligned with the College strategic planning goals and strategies. In its 2011 unit plan, the Mathematics Department reported on the following aligned goals: College Goals Strategies Student Access and Support Our college is an openaccess institution inviting our diverse community to the benefits of higher education. We are committed to providing the support necessary for student success. We strive to reduce barriers to services and programs. 1. Explore alternative enrollment processes. 2. Ensure comprehensive and equitable services exist and are part of Math Dept. Goals Investigate placement instrument alternatives to Accuplacer (Ongoing) Activities/Resources/Comments Committee has been formed and will be meeting to consider options. In the April 5th 2011 Riverside Math Department meeting, faculty agreed to pilot the Early Assessment Program, EAP. for only courses with Math 35 as a prerequisite and for Math 36, with the Department Chair verifying high school transcripts for the Geometry requirement. Thus, the courses listed are: Math 11, Math 12, Math 5, Math 25, Math 4, and Math 36 (with the added check). Continue/expand Funding for SIs and tutors is needed. use of SIs in This need is addressed in the Learning math classes Support Center Services Resource (Ongoing) Requests of the 2011 unit plan. Mathematics Program Review 2011 institutional planning. a. Ensure learning support services are available for all students (e.g., supplemental instruction, learning center tutors) b. Expand services in learning support and transfer centers. c. Promote outreach to K-12 schools. 4. Develop clear collegewide criteria for student pathways from basic skills to goal attainment. a. Expanding and improving instructional delivery modes including hybrid courses, online courses, shortterm (fast track) classes, and align delivery/timing of services to the needs of students. b. Develop innovative approaches to basic skills instruction (e.g., learning communities, modules, noncredit courses) 3 Continue/expand tutoring availability in MLC (Ongoing) Participate in California Math Science Partnership Grant with Riverside Unified School District (Ongoing) Utilize data to modify class schedule to include types of class offerings that will best serve students (Ongoing) Continue to offer modules and to gather data on their effectiveness. (Ongoing) Develop and pilot a Prestatistics course Continue to participate in CAP learning communities. (Ongoing) Three RCC faculty members have committed to working on this grantfunded project. The Pythagoras Project ended its first year on 31 May 2011. This three-year project succeeded in providing mathematics professional development for 80 fifth through ninth grade teachers from RUSD. Besides a two-week intensive training session in August of 2010, this group met 4 more times between September 2010 and May 2011 for additional seminars. Current planning for the 2nd year is in progress. Data for distance education offerings from fall 2009 were discussed in the April 20, 2010 department meeting. As a result, the number of online offerings for fall 2010 was not increased from fall 2009. As a result of further analyses of retention and successful completion data, the number of hybrid courses for fall 2011 was reduced from 8 (fall 2010 number) to 1. The 7 courses were converted to face-to-face courses. Mathematics Program Review 2011 c. Ensure that basic skills has a comprehensive focus and is integrated into the general curriculum. d. Increase transfer awareness, readiness, and rates. 5. Develop student engagement centers. Responsiveness to Community Riverside City College is deeply committed to its role as a community resource and to meeting community expectations. The college actively pursues partnerships between our educational and business partners. We also play a role in promoting community service and civic responsibilities. Culture of Innovation RCC is committed to being an innovative 4 Increase number Utilize STEM grant funding for of transfers to tutoring, counseling, field trips, and local universities transfer workshops Continue to provide faculty involvement, mentoring, and tutoring in the STEM Center. (Ongoing) 8. Promote Assess all math learning and courses and use effective data for teaching through improvement. ongoing (Ongoing) identification of and assessment of student learning outcomes. 3. Maintain and Encourage strengthen ties faculty to with participate in communityprograms such based as the Youth organizations Education Motivation Program (YEMP) (Ongoing) 1. Develop a comprehensive professional Funding is needed for associate faculty who participate in rubric-based common final scoring sessions. Continue with Funding is needed for associate Math Days and faculty who participate in Math Days. other technology Mathematics Program Review 2011 institution working to improve teaching and learning and student support services through the effective delivery and use of technology and by expansion and modernization of our learning environments. development plan a. Provide training for faculty in multiple modalities of teaching inclusive of the use of technology 5 trainings. (Ongoing) The above goals will be discussed further in Section I. B. History In the 2008 program review, the district-wide discipline identified the following seven goals: 1) Riverside math faculty will hold a workshop for the discipline on rubric development and assessment. 2) Discipline members will continue assessment work, focusing on the use of embedded common test questions and item analyses. 3) Discipline members will develop SLOs for STEM, non-STEM, and developmental areas. 4) Discipline members will pilot proctored testing for online classes. 5) Discipline members will continue to explore an alternative course for Intermediate Algebra as the AA degree requirements change; explorations into offering Intermediate Algebra in other modalities are underway. 6) Discipline members will continue to improve success and retention for developmental courses. The discipline would like to perform additional research on persistence in the developmental sequence, including investigating the effects of adding prerequisites and of using supplemental instruction, classroom assistants, and tutorial services. 7) Discipline members will review upper-level course offerings among the three campuses. The following table gives the status of each goal: Goal 1. Riverside math faculty will hold a workshop for the discipline on rubric development and assessment. 2. Discipline members will continue assessment work, focusing on the use Status 1. Riverside Math Faculty developed a rubric for scoring problems (see Appendix A). Faculty discuss and share assessment results at Math Days that are typically held at the beginning of the fall and spring semesters. 2. The Riverside Math Department has been very active in the area of outcomes Mathematics Program Review 2011 of embedded common test questions and item analyses. 3. Discipline members will develop SLOs for STEM, non-STEM, and developmental areas. 4. Discipline members will pilot proctored testing for online classes. 5. Discipline members will continue to explore an alternative course for Intermediate Algebra as the AA degree requirements change; explorations into offering Intermediate Algebra in other modalities are underway. 6. Discipline members will continue to improve success and retention for developmental courses. The discipline would like to perform additional research on persistence in the developmental sequence, including investigating the effects of adding prerequisites and of using supplemental instruction, classroom assistants, and tutorial services. 6 assessment. Assessment work will be discussed in Section E of this document. 3. This project did not occur. Instead, Riverside faculty have worked on developing a math major and the outcomes for the major. 4. In fall 2008, the Riverside math faculty successfully piloted proctored testing for online classes. The department currently requires that for all online classes one midterm and final be proctored. The Math Learning Center has been the location for the proctored tests. The department will be piloting in fall 2011 an online course in which the students will meet on specified dates for an orientation and for testing. 5. The discipline explored designing alternative courses equivalent to Math 35 and chose not to pursue this goal at this time. Intermediate Algebra is currently offered in traditional, hybrid, and online formats. 6. Math Department faculty worked with the Academic Support Office to perform research on the effects of supplemental instruction and of working with study group leaders on student success and retention. For most math courses both supplemental instruction and working with study group leaders had a positive effect on retention and success. Detailed results are in Appendix B. Department faculty worked with Institutional Research to study persistence in mathematics for students starting 4, 3, 2, and 1 level(s) below transferable math. See Section C for these data. One outcome of this research was to develop a Pre-statistics course which will lessen possible exit points for students placing below statistics on the College’s math placement test. A further study was conducted on the success of the mathematics modules. Results are in Appendix C. Generally, the Math 90A-90F program positively impacted student success. However, generalizations from the results of this study may be constrained due to the Mathematics Program Review 2011 7. Discipline members will review upper-level course offerings among the three campuses. 7 sample size. Due to section cuts, the department will be offering fewer Math 63 and 64 sections and serving more students in the Math 90 modules sections. 7. The discipline district-wide has not had a great deal of coordination on course offerings. However, at Riverside, due in part to the new scheduling grid, the department has been working closely with the Physical Sciences, Life Sciences, and Chemistry Departments to schedule classes in ways that best serve students. The Riverside Math Department has begun to offer Multivariate Calculus and Differential Equations in the evenings during the fall and spring semesters, respectively. Since the 2008 program review, the Riverside Mathematics Department has completed many activities and projects which are highlighted below. In particular, the Department has been highly involved in four major grants, worked on a statewide effort to develop a mathematics major, and developed curriculum innovations, programs, and services to help students be successful. STEM Mathematics Department faculty participated in the Riverside STEM grants in various roles. Several math faculty served as directors of the grant project. Other math faculty tutored students in the STEM center and participated in curriculum alignment projects with four-year institutions. Pythagoras Project The Pythagoras Project, a California Math Science Partnership grant funded for 3 years by the California Department of Education, finished its first year on 30 June 2011. A partnership between RCC, UCR, and RUSD, the project provided 60 hours of intensive/interactive mathematics professional development to 75 RUSD 5th through 9th grade teachers. The insertion of a practicum and peer/Institution of Higher Education faculty reflection and review of best practices continues to be its most powerful components toward measuring increased content knowledge and encouraging experimentation with new pedagogical styles. Three members of the RCC Math Department support this project. CLIP/Completion Counts Riverside City College (RCC) and the City of Riverside have been awarded a Communities Learning in Partnership (CLIP) grant from the Bill and Melinda Gates Foundation to fund innovative proposals to improve student access to and success in college. The name of the program designated to implement the grant is Completion Counts. Faculty from the math departments at Alvord Unified School District, Riverside Unified School District, and RCC have been working on aligning curriculum and Mathematics Program Review 2011 8 expectations so that high school teachers can offer a math class that better prepares students for college level math work and ease the transition into becoming successful RCC students. The expectation is that a better prepared student will need less time in completing a degree’s requirements and more likely will finish the degree. Jump Start The department has participated for three summers in the Jump Start program. Jump Start helps students review basic skills quickly and allows them the possibility to place into higher-level classes. Expansion of Math Learning Center (MLC) Services In fall 2009, ILA 800, a non-credit supervised tutoring course, replaced Math 96 and Math 97, the Math Center Practicums. Through ILA 800, students are able to schedule 30-minute tutoring appointments (up to three times a week) with a math faculty member. Since the last comprehensive program review, the math department has developed Directed Learning Activities (DLAs) for students to practice and receive assistance on particular concepts. The MLC has also implemented proctored tutoring services for online and hybrid math classes. Transfer Model Curriculum SB 1440 requires a community college district to grant an associate degree for transfer to a student in that student’s field of study once a student has met degree and transfer requirements for a particular major. Upon completion of the transfer associate degree, the student is eligible for transfer with junior standing into the California State University (CSU) system. A department member has been highly involved in statewide efforts to develop a Transfer Model Curriculum for mathematics. Early Assessment Program The Early Assessment Program (EAP) is a collaborative effort among the State Board of Education (SBE), the California Department of Education (CDE) and the California State University (CSU). The program was established to provide opportunities for students to measure their readiness for college-level English and mathematics in their junior year of high school, and to facilitate opportunities for them to improve their skills during their senior year. The Riverside Mathematics Department has agreed to pilot the use of EAP scores for student placement in fall 2011. Students who are college-ready according to the EAP will be allowed to enroll in the following math courses: 4, 5, 11, 12, and 25. Students can also enroll in Math 36 upon verification that the student has successfully completed geometry in high school. Pre-Statistics Across the U.S. students placing at remedial levels of mathematics are failing to reach college level mathematics courses. Indeed, students who place three or more levels below a college transferable math class have only a 10% chance of ever passing a “gatekeeper” course (Bailey, Jeong, and Cho, Referral, Enrollment, and Completion in Developmental Education Sequences in Community Colleges (CCRC Working Paper No. 15), 2008). The problem seems to lie in the number of exit and entrance points along the prerequisite path. At each point, the likelihood that successful students do not enroll in the next Mathematics Program Review 2011 9 course in the sequence needs to be factored in, causing a multiplier effect that lowers the chances of students successfully reaching college level. Data from the Riverside Community College District (Fall 2006 to Spring 2010) support the national findings and can be found in Section C. One proposed solution to the leaky prerequisite pipeline is “accelerated remediation”. This term has many meanings, but one that the mathematics discipline at RCCD has focused on is an intensive pre-requisite course that is being designed to offer “just in time” learning for concepts that students will need to successfully complete a collegelevel statistics course. This course will mirror one that was developed by professor Myra Snell at Los Medanos College in California. Data collected by Snell showed students completing Pre-statistics rather than the standard prerequisite path succeeding at higher rates in Statistics. Using topics such as exploratory data analysis, data collection, numeracy, algebraic reasoning, mathematical modeling with functions and density curves, and graphical reasoning, a new six-unit course will be developed having no required pre-requisite course. Three district math faculty, two from Riverside and one from Moreno Valley will participate in a six-month community of practice with faculty from twenty-two other California Community Colleges to develop a course outline and learning activities for this course. One section of this course will be piloted at Riverside City College during the spring 2012 semester. Institutional Research will assist in recruiting a stratified sample of students placing at various math levels for participation in this pilot. Results of the pilot will be analyzed and used in making decisions on continuing and/or expanding other such course offerings. All of the grant and curriculum work, participation in programs such as Jump Start and Early Assessment, and expansion of math learning center services are focused towards improving student access, successful completion, retention, and persistence. Institutional data are tracked for these projects and are discussed by faculty on a regular basis in efforts to identify ways to better achieve student learning. Mathematics Program Review 2011 10 C. Data and Environmental Scan The department reviewed retention and successful completion data for all courses and all primary terms from 2008 to 2010. These data are given in the tables below. RETENTION Percents Sp08 F08 Sp09 F09 Sp10 F10 MAT-10 80.15 70.94 77.44 72.46 71.35 82.02 MAT-11 64.35 69.92 74.47 60.25 74.31 61.99 MAT-12 &12H 68.29 75.56 *65.66 79.69 *71.19 79.61 MAT-1A 71.72 78.07 76.11 76.12 75.19 77.33 MAT-1B 85.42 76.54 69.66 60.92 73.68 87.5 MAT-1C 95.45 85.71 80 72.73 79.55 92.11 MAT-2 88.89 78.26 80.95 90.24 97.06 78.95 MAT-25 91.89 86.05 MAT-3 94.44 80.95 MAT-32 100 100 MAT-35 73.28 77.26 74.44 MAT-36 85.23 78.40 MAT-5 74.39 MAT-52 88.89 61.29 79.41 50 100 78.19 69.32 75.93 69.32 76.54 78.41 72.86 75 76.47 67.86 78.79 73.63 68.79 79.6 75.26 76.71 70.98 68.92 MAT-53 60.20 77.36 74.75 79.25 73.54 78.13 MAT-63 69.09 74.73 65.79 78.5 82.27 79.81 MAT-64 79.11 76.67 82.56 86.01 79.5 90.32 MAT-65 68.70 81.22 87.18 85.71 68.57 82.23 MAT-90A 76.32 76 79.82 80 69.31 83.21 MAT-90B 92.31 93.75 90.54 88.41 84.91 86.54 MAT-90C 100 91.89 80 97.73 78.85 87.5 MAT-90D 86.36 75.68 86.96 75 90 77.55 MAT-90E 100 94.74 100 95 95.24 90 MAT-90F 90 100 81.25 94.12 94.44 81.82 OVERALL 72.85 78.11 75.61 76.78 73.37 75.45 * Includes one section of Math 12H Mathematics Program Review 2011 11 SUCCESS Percents Sp08 F08 Sp09 F09 Sp10 F10 MAT-10 51.91 50.43 55.49 48.5 42.16 60.67 MAT-11 48.09 50.39 52.13 38.52 56.35 38.74 MAT-12 &12H 55.75 55.95 *43.37 60 *51 59.87 MAT-1A 60.61 64.91 60.18 59.7 48.06 51.33 MAT-1B 65.63 44.44 60.67 42.53 52.63 75 MAT-1C 86.36 67.86 62.86 68.18 65.91 80.26 MAT-2 66.67 60.87 66.67 75.61 82.35 52.63 MAT-25 83.78 76.74 MAT-3 83.33 66.67 MAT-32 100 100 MAT-35 45.46 49.39 44.35 MAT-36 58.39 59.88 MAT-5 56.10 MAT-52 63.89 35.48 38.24 33.33 100 50.47 36.19 42.16 46.59 48.04 61.23 53.27 51.79 63.24 50 47.47 45.05 36.52 38.18 44.70 39.43 41.5 32.03 MAT-53 34.69 54.34 55.45 61.79 44.97 65.63 MAT-63 38.18 41.03 36.47 40.65 51.82 31.25 MAT-64 52.44 48.33 48.45 58.04 51.05 63.87 MAT-65 50.43 55.10 58.12 46.15 46.67 54.13 MAT-90A 34.21 52 50.46 43.2 42.57 32.12 MAT-90B 46.15 50 44.59 59.42 45.28 38.46 MAT-90C 58.33 40.54 40 36.36 34.62 25 MAT-90D 68.18 62.16 73.91 55.56 73.33 46.94 MAT-90E 73.33 84.21 76.47 65 80.95 50 MAT-90F 60 73.68 68.75 76.47 88.89 48.48 OVERALL 47.09 48.58 48.39 47.66 45.78 44.42 * Includes one section of Math 12H Mathematics Program Review 2011 12 Of major concern to the Mathematics Department is to identify ways to increase the success rates of students. The department plans to focus on this area during the 2011-12 academic year in part by holding “brown bag” lunch sessions for faculty to have an opportunity to discuss student success. The Math 90 series appears to be producing higher success rates for developmental students with its self-paced modular curriculum and no gap approach, but the numbers of students taking these courses are still fairly low and it is difficult to make a generalized statement. Results of a study conducted on the success of the mathematics modules are in Appendix C. Generally, the Math 90A-90F program positively impacted student success. However, generalizations from the results of this study may be constrained due to the sample size. Due to section cuts, in fall 2011 the department will be offering fewer Math 63 and 64 sections and serving more students in the Math 90 modules sections. The department is also concerned about persistence. The table below illustrates the very leaky math pipeline at RCCD. For example, when 761 students started in Math 63, of the 331 who successfully completed the course, only 126 continued to Math 64. Of those 126 students, 101 were successful in Math 64 and of those 101, 65 continued to Math 52. Of those 65 students, 50 were successful in Math 52 and of those 50, 24 continued to Math 35. Of those 24, 17 were successful in Math 35. Finally, of those 17 students, only 7 continued to college-level math, with only 6 of those being successful. The department is working on a project to alleviate this problem and to reduce the number of possible exit points for students through the Pre-statistics course development and pilot (see Section B above). Success Successful/ No Progress NonSuccess Total MAT-63 331 430 0 761 MAT-64 101 25 205 126 MAT-52 50 15 36 65 MAT-53/35 17 7 26 24 6 1 10 7 CL Success NonSuccess Successful/No Progress MAT-64 44 45 MAT-52 89 17 6 21 23 MAT-53/35 6 2 9 8 CL 3 2 1 5 Success NonSuccess Successful /No Progress MAT-52 627 557 MAT-53/35 173 60 394 233 77 18 78 95 CL Success MAT-53/35 NonSuccess 901 1184 Successful/ No Progress 426 1327 Mathematics Program Review 2011 CL 339 13 69 493 408 In the department, the percentage of developmental courses taught is approximately 70%. The percentage of STEM courses is approximately 20%. The department clearly recognizes the need to serve students in developmental math courses but also desires to continue and enhance its excellent program for students majoring in mathematics, science, engineering, and other technological fields. In the Math Department, the WSCH/FTEF was 623.5 for fall 2008, 750.7 for fall 2009, and 716.6 for fall 2010. Overall, the math discipline is very efficient. The Math Department is doing a very good job of serving students, the College, and the District. The department bases this judgment on the large number of students served and on the successful completion, retention, and efficiency data. As detailed throughout this self-study, the department is constantly seeking new ways to offer classes and improve student learning. The department has implemented prerequisites to enhance student success and has added courses and various modes of offering courses to better serve students’ needs. During the 2011-12 year, the department will focus on student success and persistence issues. Mathematics Program Review 2011 14 D. Programs & Curriculum The areas of the College Mission served by the Mathematics Department are outlined in Section A. The Mathematics discipline provides course sequences to meet the needs of developmental mathematics students (Arithmetic – Pre-algebra – Elementary Algebra – Geometry - Intermediate Algebra). The discipline provides courses for the non-science major transfer student (Statistics, College Algebra, Finite Mathematics, A Survey of Mathematics, and Calculus, A Short Course). The discipline also provides courses for students planning to transfer with majors in mathematics, sciences, or engineering (Trigonometry, Precalculus, Calculus I, II, and III, Differential Equations, and Linear Algebra). The discipline utilizes modules for Workforce Preparation students. Elementary Arithmetic serves the needs of those students planning to enter the Nursing program. Since the last discipline program review, the mathematics discipline has implemented the following curriculum changes: In fall 2009, ILA 800, a non-credit supervised tutoring course, replaced Math 96 (Math Center Practicum - .5 unit) and Math 97 (Math Center Practicum – 1 unit) Math 98 – Academic Excellence Seminar– no longer has a co-requisite of enrollment in First-year Experience. The course may now be used in conjunction with various special programs (e.g., Jump Start). Math 6 – Discrete Mathematics for Computer Science - was developed by the Computer Science Discipline with input from the Mathematics Department. The course is offered jointly with the Computer Science discipline. Math 52 was modified from a status of “Degree Credit” to “Non-degree Credit” While there have been few curricular changes in mathematics since the last comprehensive program review, there have been scheduling changes and section cuts that have drastically impacted the ability of RCC students to enroll in needed courses. In particular, the Math Department has experienced significant section cuts as detailed below: Summer 2009 cuts: 1 Math 11, 1 Math 35, 1 Math 52, 1 Math 64 for a total of 16 units Fall 2009 cuts: 3 Math 11, 2 Math 12, 4 Math 35, 2 Math 52, 1 Math 53, 4 Math 63, 1 Math 64, 2 Math 65 for a total of 74 units Winter 2010 2 Math 11, 1 Math 12, 4 Math 35, 2 Math 52, 1 Math 63, 1 Math 64 for a total of 45 units Spring 2010 2 Math 11, 1 Math 12, 5 Math 35, 4 Math 52, 1 Math 53, 1 Math 63, 1 Math 64, 1 Math 90A, 1 Math 90B, 1 Math 90C for a total of 64 units Summer 2010 Mathematics Program Review 2011 15 1 Math 11, 1 Math 35, 2 Math 52, 1 Math 53, 1 Math 65, 1 Math 90D, 1 Math 90E, 1 Math 90F for a total of 28 units Fall 2010 1 Math 90A, 1 Math 90B, 1 Math 90C for a total of 3 units Summer 2011 2 Math 63, 1 Math 52, 2 Math 35, 1 Math 12 for a total of 23 units Fall 2011 3 Math 63, 3 Math 64, 5 Math 35 for a total of 43 units For Fall 2010, 1898 students were on waitlists for Mathematics courses. There were 816 students on the Math 35 – Intermediate Algebra waitlist, 262 students on the Math 52 – Elementary Algebra waitlist, and 344 on the waitlists for Math 63 - Arithmetic, Math 64 – Prealgebra, and Math 65 – Arithmetic and Prealgebra. For Fall 2011, the department has added sections of the Math 90s to serve students who would have enrolled in Math 63/64. The department will be monitoring the retention and successful completion for students enrolled in these courses. All mathematics course outlines are undergoing revision during fall 2011 as indicated in the table below. Course 1A 1B 1C 2 3 4 5 6 7 10 11 12 12H 25 32 35 36 52 53 63 64 65 90A 90B Title Calculus I Calculus II Calculus III Differential Equations Linear Algebra Finite Math Calculus, A Short Course Discrete Math for Comp Sci Mathematica Precalculus College Algebra Statistics Honors Statistics A Survey of Mathematics Introduction to Symbolic Logic Intermediate Algebra Trigonometry Elementary Algebra College Geometry Arithmetic Pre-Algebra Arithmetic & Pre-Algebra Whole Numb and Intro to Fract Fractions and Intro to Dec Last COR Update Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Spring 2010 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Mathematics Program Review 2011 90C 90D 90E 90F Decimals Integers and an Intro to Var Real Numbers and Intro to Alg Algebraic Expressions & Eq 16 Fall 2011 Fall 2011 Fall 2011 Fall 2011 Through the use of a computerized placement test, Accuplacer, and multiple measures, prerequisites and mandatory placement have been implemented for most courses in the Mathematics discipline. In cooperation with the Office of Matriculation and the Office of Institutional Research, course placements are validated on an every-other-year cycle. The Mathematics Discipline district-wide completed a content review of the Accuplacer tests for arithmetic, algebra, and college-level placements. This project is on hold at the moment as the college is considering other options for math placement testing. As stated in Section B, the Mathematics Department has agreed to pilot the use of the Early Assessment Program (EAP) scores for student placement in fall 2011. Students who are college-ready according to the EAP will be allowed to enroll in the following math courses: 4, 5, 11, 12, and 25. Students can also enroll in Math 36 upon verification that the student has successfully completed geometry in high school. In cooperation with the Office of Institutional Research, data will be collected and analyzed regarding the retention and success of students placed using the EAP. E. Student Outcomes Assessment Assessment data have been collected for student learning outcomes in all mathematics courses offered in the years since the last comprehensive program review. For most courses, the data have been uses to improve teaching and learning and the assessment cycle is ongoing. As a part of the Elementary Algebra redesign project, an elaborate assessment plan was designed and implemented for Math 52. This assessment project has been ongoing since 2000. Data for analysis of student learning outcomes are gathered via administration of a common final. The common final originally consisted of 45 multiple-choice questions. The number of multiple-choice questions was reduced to 42 and 8 open-ended questions were added to the exam for fall 2009. During winter 2010, the Developmental Math Committee spearheaded an assessment project in which instructors met, developed a scoring rubric, and re-graded the open-ended questions. Two faculty members scored each student’s paper. Several problem areas were identified: solving the linear inequality, solving the rational equation, and solving the quadratic equation. Discussions of the problem areas occurred, particularly about the level of the questions and what concepts are really being tested. Slight changes were made to the questions. After its work with the Elementary Algebra common final, the Mathematics Department chose to develop common finals for Arithmetic, Pre-algebra, and Intermediate Algebra. These finals are mandatory for Elementary Algebra and Arithmetic and optional for Prealgebra and Intermediate Algebra. Mathematics Program Review 2011 17 In spring 2007, the Developmental Math Committee devised an assessment project for intermediate algebra that involved embedding open-ended questions into instructors’ final exams. Several instructors utilized the embedded questions in their final exams during spring 2007. During the summer, these instructors met, developed a scoring rubric, and re-graded the open-ended questions. Two faculty members scored each student’s paper. Two areas were clearly problem ones for students: solving logarithmic equations and solving rational inequalities. Graphing parabolas was also an area with mixed results. Faculty members planned to place more emphasis on these topics in future semesters and reassess. In fall 2007, the Developmental Math Committee began item analyses of exams for arithmetic, pre-algebra, and elementary algebra. These analyses were for all class exams, not just finals. Faculty members were able to obtain a much more detailed view of performance on very specific outcomes. For example, two major problem areas were identified for pre-algebra: finding the GCF of numbers by prime factorizations and factoring out the GCF of terms from a polynomial. Faculty members used these analyses to determine if the exam questions were poor ones or if students needed more practice in a given area. If it was deemed that students needed more practice, additional problems were included the following semester and instructors incorporated more spiraling in the homework and quizzes. When averages were very high for particular items, faculty members discuss the difficulty of the questions to determine if the question(s) were too easy or if students were indeed mastering this concept well. If students were learning concepts well, perhaps teaching techniques for these topics are applicable in other areas. In its 2008 comprehensive program review, the discipline stated that it would like to expand the use of item analyses and embedded questions in its developmental courses and assess SLOs in other courses, such as statistics and calculus. This has indeed occurred in the Riverside Mathematics Department for Math 12 and Math 1A. In fall 2010, for Math 12 – Statistics, three faculty members developed 16 multiple-choice questions to embed in their finals. Results showed that the area most needing improvement is constructing and interpreting confidence intervals. In fall 2010, a Calculus Committee was formed and common open-ended questions were developed for assessing SLOs in Math 1A – Calculus 1. A pre-test and embedded common final questions have also been developed and utilized for assessment of Geometry. In other courses, individual instructors have developed assessment tools and assessed SLOs. As a result of these assessments, instructors have altered teaching materials, course timelines, and questions utilized in assessments. Over the next four years covered by this program review, the department will work on making these assessments more course-based rather than individual section-based whenever possible. The Math Department has developed clear cycles for course assessment. These are included in Appendix D. Mathematics Program Review 2011 18 The Math Department’s assessment efforts respond to RCC’s strategy: Promote learning and effective teaching through ongoing identification of and assessment of student learning outcomes. All of the assessment work is geared towards analyzing and improving student performance on course SLOs. In addition, the comparisons of redesigned and traditional course types respond to the college goal of increasing student access. The redesigned courses have the ability to serve more students. Redesigned class sizes can be larger than traditional classes and classrooms are freed for other sections as part of the class time for redesigned courses is spent in the Math Learning Center. Finally, all of the Math Department’s assessment efforts strive for increased course retention, successful completion, and term-to-term persistence by analyzing which course modalities work well for students and determining ways to improve course methods. F. Collaboration with Other Units The Mathematics Department is very involved in collaborative projects with other units. As mentioned earlier in this report, the Mathematics Department has worked and continues to work closely with the Office of Institutional Research on issues of placement. The Mathematics Department collaborates with the Academic Support unit on the staffing of supplemental instruction, learning communities, and summer bridge programs. The following projects/activities have involved collaboration with other disciplines and/or units: 1) Jump Start – Academic Support 2) Community for Academic Progress (CAP) – Academic Support 3) Logic Course – Philosophy 4) Puente Intermediate Algebra – Counseling 5) Honors Statistics – Honors Program 6) Discrete Math – Computer Science The Mathematics Department has supported the efforts of the Workforce Development Program by providing mathematics modules for instruction in basic mathematics. G. Outreach In addition to collaborating with other units within RCC, the Mathematics Department collaborates with other educational institutions and the community. As discussed in Section B, the department has collaborated on curricular issues with UCR, Cal Poly Pomona, and CSUSB through STEM grants. The department is participating the California Math Science Partnership grant with Riverside Unified School District. In the grant’s first year, three RCC math faculty members provided mathematics professional development workshops to 80 fifth through ninth grade RUSD teachers. The department is participating in the Gates Foundation Communities Learning in Partnership (CLIP) grant to increase the area’s college graduation rates. In addition to RCC, participants include the City of Riverside, Alvord Unified School District, Riverside Unified School District, the University of California at Riverside, the Riverside County Office of Education, the Greater Riverside Chambers of Commerce, Riverside County, and The Community Foundation. Mathematics Program Review 2011 19 Department members have participated in the Youth Education Motivation Program (YEMP), visiting middle schools to encourage students to pursue their education. Department members have also participating in the Women in Mathematics and Science day at RCC, encouraging high school girls to consider and pursue degrees and careers in math and science-related fields. Through the Moreno Valley Grants and College Support Programs Title V & STEM, a Riverside math faculty member participated as a mentor for a faculty intern. Department members participated in CALPASS, which is a data-sharing consortium among various high schools, community colleges, and four-year institutions in the area. CALPASS also studies alignment of curriculum among high schools and higher education institutions. The department is active in statewide affairs affecting mathematics, such as the development of the Transfer Model Curriculum for Mathematics. H. Resources The most pressing needs for the Riverside Mathematics Department are additional fulltime faculty and improvements for the Math Learning Center (MLC). As detailed in the Riverside Mathematics Department’s May 2011 Annual Instructional Unit Plan, for fall 2010, the full-time contract load was 11.74 FTEF, the full-time overload was 5.52 FTEF, and the part-time load was 17.33 FTEF. All combined, the department’s FTEF was 34.59, differing by 0.05 FTEF from fall 2009. The part-time load (including full-time overload) was 22.85 FTEF, making up 66.06% of the FTEF. Only 33.94% of math courses were taught by full-time faculty as part of their contract load. The percentages are shown in the tables below. During spring 2011, the department had approximately 3.4 FTEF of reassigned time. (1.0 for Department Chair duties, .4 for MLC coordination, .6 for MLC lead instructor, 1.0 for STEM CCRAA Director, and 0.4 for accreditation/assessment college-wide assignment). About 72% of course offerings (96 out of 133 sections) are pre-collegiate; when headcount is used as the measure, 71.5% of the students (3990 out of 5579) are enrolled in pre-collegiate classes. The department expects the demand for these courses to increase and expects enrollments in college-level courses to remain constant or increase. The department’s WSCH/FTEF for fall 2010 was 716.59 (down from 750.70 in fall 2009), well above 525. In fall 2010, the department served 5579 students, up 124 students from fall 2009. The fall 2010 number does not include the math ILA 800 which accounted for 370 students. The increasing demand for math faculty to participate in grant activities, college-wide initiatives, and special programs also provides justification for the need for more fulltime faculty. Mathematics Program Review 2011 20 RCC Mathematics Department Percent of FTEF of FT and PT Load Percent FTEF 60.0% 50.0% 40.0% 30.0% 20.0% 10.0% 0.0% Fall 2005 Fall 2006 Fall 2007 Fall 2008 Fall 2009 Fall 2010 FT 45.0% 47.6% 46.9% 48.6% 48.3% 49.9% PT 55.0% 52.4% 53.1% 51.4% 51.7% 50.1% Semester FT PT Mathematics Program Review 2011 21 RCC Mathematics Department Percent of FTEF of FT Contract Load and of PT/FT Overload Percent FTEF 80.0% 60.0% 40.0% 20.0% 0.0% FT Contract Fall 2005 Fall 2006 Fall 2007 Fall 2008 Fall 2009 Fall 2010 37.9% 43.5% 35.1% 36.8% 36.9% 33.9% PT & FT Overload 62.1% 56.5% 64.9% 63.2% 63.1% 66.1% Semester FT Contract PT & FT Overload Mathematics Program Review 2011 22 RCC Mathematics Department Total FTEF 45.00 40.00 35.00 FTEF 30.00 25.00 20.00 15.00 10.00 5.00 0.00 Fall 2005 Fall 2006 Fall 2007 Fall 2008 Fall 2009 Fall 2010 Total FTEF 34.55 34.37 37.70 41.58 34.54 34.59 Semester Total FTEF Mathematics Program Review 2011 23 The Math Learning Center has expanded services and needs continue to grow with the implementation of ILA 800 and proctored testing for online classes. The services, such as tutoring, access to technology, and supplemental instruction, offered through the MLC promote student access, success, and retention. Currently the MLC budget is not sufficient to hire needed Tutors and a Receptionist. The total operating budget for the MLC in 2011-2012 is projected at $62,000. With a current budget of only $26,000, the MLC can afford only to operate in its testing and data capacity, which means only Office Assistants will be hired. There will be no money to hire tutors or receptionists. The login terminal must be monitored by a receptionist according to District policy. Due to the budget shortfall, the MLC has had to make changes for fall 2011. The MLC is open from 9-6pm Monday through Thursday, 9-3pm on Fridays and only offers tutoring from study group leaders from 9-2pm Monday through Thursday. Thus, there are no study group leaders from 2-6pm Monday through Thursday and all day Fridays. The MLC used to receive financial assistance from both the STEM grant and the Basic Skills Fund. However, the STEM grant has ended and the Basic Skills Fund has depleted. The challenge that the MLC is currently facing is the lack of funding and unless it is properly funded, the MLC will not be able to provide adequate services to RCC math students of all levels. Details of the MLC needs are given in the Riverside Mathematics Department’s May 2011 Annual Instructional Unit Plan. The department learned in fall 2011 that ILA 800 would not be offered in winter 2012, essentially closing down the MLC for that session. ILA 800 will be offered in spring 2012 but in a reduced capacity, again limiting the ability for the department to serve its students. As mentioned in Section D, the department is increasing its Math 90s modules offerings in lieu of sections of Math 63 and Math 64. Currently, there is not enough funding for Classroom Assistants for the Math 90s. The Math 90 courses cannot survive without Classroom Assistants. The model is too dynamic. These courses are self-paced, openentry/open-exit and web-enhanced. With the cancellations of Math 63 and 64 sections, the number of students to be served is expected to increase dramatically. Classroom Assistants are also needed to support the web-enhanced redesigned mathematics courses. I. Summary Analysis The Riverside Mathematics Department would like to evolve in ways to better serve basic skills and degree-seeking students, to more effectively utilize technology, and to continue to serve the transfer function in an excellent manner. The department has identified the following goals that are consistent with RCC’s Strategic Plan (see Section B above): 1) Investigate placement instrument alternatives to Accuplacer 2) Continue/expand use of SIs in math classes 3) Continue/expand tutoring availability in MLC 4)Participate in California Math Science Partnership Grant with Riverside Unified School District Mathematics Program Review 2011 24 5) Utilize data to modify class schedule to include types of class offerings that will best serve students 6) Expand modules offerings and gather data on their effectiveness 7)Develop and pilot a Pre-statistics course 8) Continue to participate in CAP learning communities 9) Assess all math courses and use data for improvement 10) Continue with Math Days and other technology trainings 11) Participate in Gates Foundation CLIP/Completion Counts grant 12) Hold Brown Bags on student success Major areas of support needed from the colleges/district have been identified in Section H (additional full-time faculty and resources for the MLC). The department will continue with the implementation of its assessment plan outlined in Section E and with the tracking of institutional outcomes. J. Recommendations to the Program Review Committee The Riverside Mathematics Department would like to commend the Program Review Committee for its decision to allow the documents to be more college-based. It has proven useful for the department to take stock of its developments, activities, and data and to plan for its future. Appendix A Math Rubric Appendix B Math SI Report (Fall 2009-Sping 2010) Appendix C Math 90s Report Appendix D Cycles for Course Assessment