6/25/2010 Placement-Guided Differentiated Instruction in First Year Mathematics Eddie Fuller Betsy Kuhn Michael Mays Christine Wilson 23 rd International Conference on the First Year Experience June 8, 2010 Contact information • ef@math.wvu.edu • mays@math.wvu.edu • http://math.wvu.edu • http://www iml sitespace wvu edu/ http://www.iml.sitespace.wvu.edu/ 1
6/25/2010 Fall 2009 by course number Mathematics @ WVU Pre ‐ Calc/service PhD 11% 25% • Instructed 5731 students in Fall 2009 Calc 16% • Instructing 4499 students in Spring Instructing 4499 students in Spring 2010 • Strong enrollment growth • “Interact with every student at WVU” MS UG Major 23% 25% Fall 2009 by section count Fall 2009 by enrollment PhD MS 1% 3% UG Major PhD 5% 10% MS Pre ‐ Calc/service 9% 21% UG Major P Pre ‐ Calc/service C l / i 47% 11% Calc 44% Calc 49% Curriculum and Instruction First-Year Courses at WVU Initiative • IML: restructure large enrollment lower Lab Component : division undergraduate mathematics – a writing component for open-ended response courses courses – technology as a tool in exploring mathematics • lab based approach – cooperative learning • Sustained and effective change in • 40+80+120+34 seat lab facilities curriculum and instruction requires – Used by most IML courses to increase standards to ensure quality and progress . student engagement • Identify at-risk students and provide the best class experience at the appropriate level – Used for placement testing 1
6/25/2010 Pre-College Algebra Workshop • “Off the books” enrollment, registration, fees • MyMathLab online text, course activities • Self-paced, facilitated learning • Target at-risk students not qualified for college algebra College Algebra Math Supplemental Instruction 126A/B/C • 126A “5-Day,” cap 40, open ended tests, • Intervention for at- early review of intermediate algebra topics risk students • 126B “4-Day,” cap 200, supplemental 126B “4 D ” 200 l t l • Increased contact instruction, lab, on-line tests time • 126C “3-Day,” cap 200, lab, on-line tests • Improved outcomes 155 Non-Engineering Math 153/154 Course Structure • Two semester sequence • Constructivist perspective – Math 153 first half • Graphing calculator strongly recommended • review of trig and algebra • review of trig and algebra • Four credit course, but meets for an additional • Four credit course but meets for an additional • Derivatives and applications 50 minutes per week – Math 154 second half – More time to do math (not just see math) • More review • Exams - common across sections, common • Integrals, Riemann sums, the Fundamental Theorem grading • Equivalent to Math 155 • Roughly half online and half written • Mostly engineering majors • Online HW common across sections • Target weakest students from 155 2
6/25/2010 Interactive Instruction • Students at work • Develop ideas – Peer teaching – Peer learning • Strong retention – Sense of community Basic Algebra test 3
6/25/2010 Basic Algebra test Basic Algebra test Calculus Readiness test Calculus Readiness test Calculus Readiness test Before Placement Students by Course F2007 155 20% Workshop 22% Workshop College Algebra 150 or 129 (now 153) 150 or 129 (now 153) 18% 155 College Algebra 40% 4
6/25/2010 QRA Placement QRA Placement Old ACT/SAT cutoffs Course ACT SAT 126 5 Day >126A 126 5-Day->126A 20 20 480 480 124->126B 22 510 126->126C 23 540 128 23 540 150 25 580 155 26 600 155 honors 28 630 Transition to new placement (126A) 3.5 3 course GPA 2.5 2 Average 1.5 1 0.5 0 0 2 4 6 8 10 12 14 16 18 20 Placement score on BA exam 126A QRA Data 126A Fall 2009, n=331 126A • Baseline Data from 2007 ‐ 2008 • Tested current students A in all sections B • Correlated data with C grade in course D F W 5
6/25/2010 Workshop 126B A A Transition to new placement (155) B B 3 C C D D 2.5 F F W W in Math 155 2 1.5 GPA i 1 126C 150/153 0.5 A A 0 B B 0 2 4 6 8 10 12 14 16 18 C C CR Score D D F F W W Tuning for Calculus 155 Fall 2009, n=459 Overall • Same approach 2007 ‐ 2008 • basic algebra (left) and calc readiness (right) A B C D F W Placed Legacy A Progress B C D Math 155 Success Rate 70% F 60% W W 50% 40% 30% 20% 10% 0% Fall 2009 Fall 2008 Fall 2007 Fall 2006 Fall 2005 Fall 2004 6
6/25/2010 Grade Shift 2007 vs. 2009 • 2007 histogram • 2009 histogram 7
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