Contact information ef@math.wvu.edu mays@math.wvu.edu - - PDF document

▶
contact information
SMART_READER_LITE
LIVE PREVIEW

Contact information ef@math.wvu.edu mays@math.wvu.edu - - PDF document

Sep 26, 2023 281 likes •373 views

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

slide-1
SLIDE 1

6/25/2010 1

Placement-Guided Differentiated Instruction in First Year Mathematics Eddie Fuller Betsy Kuhn Michael Mays Christine Wilson 23rd 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/

slide-2
SLIDE 2

6/25/2010 1

Mathematics @ WVU

  • Instructed 5731 students in Fall 2009
  • Instructing 4499 students in Spring

Instructing 4499 students in Spring 2010

  • Strong enrollment growth
  • “Interact with every student at WVU”

Pre‐ Calc/service 11% Calc 16% PhD 25%

Fall 2009 by course number

UG Major 25% MS 23% Pre‐Calc/service 21% MS 9% PhD 10%

Fall 2009 by section count

Calc 49% UG Major 11% P C l / i UG Major 5% MS 3% PhD 1%

Fall 2009 by enrollment

Pre‐Calc/service 47% Calc 44%

First-Year Courses at WVU

  • IML: restructure large enrollment lower

division undergraduate mathematics courses courses

  • lab based approach
  • Sustained and effective change in

curriculum and instruction requires standards to ensure quality and progress.

  • Identify at-risk students and provide the best

class experience at the appropriate level

Curriculum and Instruction Initiative

Lab Component:

– a writing component for open-ended response – technology as a tool in exploring mathematics – cooperative learning

  • 40+80+120+34 seat lab facilities

– Used by most IML courses to increase student engagement – Used for placement testing

slide-3
SLIDE 3

6/25/2010 2

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 126A/B/C

  • 126A “5-Day,” cap 40, open ended tests,

early review of intermediate algebra topics 126B “4 D ” 200 l t l

  • 126B “4-Day,” cap 200, supplemental

instruction, lab, on-line tests

  • 126C “3-Day,” cap 200, lab, on-line tests

Supplemental Instruction

  • Intervention for at-

risk students

  • Increased contact

time

  • Improved outcomes

Math 153/154

  • Two semester sequence

– Math 153 first half

  • review of trig and algebra
  • review of trig and algebra
  • Derivatives and applications

– Math 154 second half

  • More review
  • Integrals, Riemann sums, the Fundamental Theorem
  • Equivalent to Math 155
  • Mostly engineering majors
  • Target weakest students from 155

155 Non-Engineering Course Structure

  • Constructivist perspective
  • Graphing calculator strongly recommended
  • Four credit course but meets for an additional
  • Four credit course, but meets for an additional

50 minutes per week

– More time to do math (not just see math)

  • Exams - common across sections, common

grading

  • Roughly half online and half written
  • Online HW common across sections
slide-4
SLIDE 4

6/25/2010 3

Interactive Instruction

  • Students at work
  • Develop ideas

– Peer teaching – Peer learning

  • Strong retention

– Sense of community

Basic Algebra test

slide-5
SLIDE 5

6/25/2010 4

Basic Algebra test Basic Algebra test Calculus Readiness test Calculus Readiness test Calculus Readiness test

Before Placement

Workshop 22% 155 20%

Students by Course F2007

College Algebra 40% 150 or 129 (now 153) 18% Workshop College Algebra 150 or 129 (now 153) 155

slide-6
SLIDE 6

6/25/2010 5

QRA Placement QRA Placement Old ACT/SAT cutoffs

Course ACT SAT 126 5 Day >126A 20 480 126 5-Day->126A 20 480 124->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)

2 2.5 3 3.5

course GPA

0.5 1 1.5 2 4 6 8 10 12 14 16 18 20

Average Placement score on BA exam

126A QRA Data

  • Baseline Data from

2007‐2008

  • Tested current students

in all sections

  • Correlated data with

grade in course

126A Fall 2009, n=331

126A

A B C D F W

slide-7
SLIDE 7

6/25/2010 6

Workshop

A B C D F W

126B

A B C D F W

126C

A B C D F W

150/153

A B C D F W

Transition to new placement (155)

1.5 2 2.5 3

in Math 155

0.5 1 2 4 6 8 10 12 14 16 18

GPA i CR Score

Tuning for Calculus

  • Same approach 2007‐2008
  • basic algebra (left) and calc readiness (right)

155 Fall 2009, n=459

Overall A B C D F W Placed A B C D F W Legacy W

Progress

60% 70%

Math 155 Success Rate

0% 10% 20% 30% 40% 50% Fall 2009 Fall 2008 Fall 2007 Fall 2006 Fall 2005 Fall 2004

slide-8
SLIDE 8

6/25/2010 7

Grade Shift 2007 vs. 2009

  • 2007 histogram
  • 2009 histogram