quantway - the city university of new york i course • designed to replace traditional beginning...
TRANSCRIPT
Quantway A Quantitative Reasoning Alternative for
Developmental Mathematics
By Dr. Michael George Prof. Yevgeniy Milm BMCC- Mathematics
April 10th, 2014 The Office of Undergraduate Studies CUNY Central Office
The problem with remedial algebra
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• Many students will never use it in their future coursework. • Many students will never use it in their careers • Many students will never use it in real life
We need mathematics for the developmental student whose major is:
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Behavioral Sciences (child development, psychology)
Biological Sciences Career Technical Communications/Journalism Criminal Justice Studies English and Foreign Languages Environmental Studies Fine and Performing Arts General Studies Geography/Geology Health Sciences (dental, medical,
x-ray)
Humanities Hospitality/Tourism/Culinary Humanities Kinesiology / Athletics Liberal Arts Nutritional Science Nursing Occupational Therapy Social Sciences (anthropology,
history, poli sci, sociology) Social Work Undecided
The Pathway opens doors for students…
Quantway I Course • Designed to replace traditional Beginning Algebra
developmental math course
• Has a strong focus on proportional reasoning and also covers algebraic topics such as linear and exponential equations
• Algebra is presented through a "quantitative literacy lens" with an emphasis on using and interpreting mathematics with less emphasis on algebraic manipulation of equations.
• Big emphasis on contexts: Citizenship, Personal Finance, and Medical Fluency
• Appropriate for students in programs that require a general education math course such as Math for Liberal Arts or program-specific math courses
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Quantway: Learning Outcomes
• Numerical Skills
• Proportional Reasoning
• Mathematical Modeling
• Algebraic Reasoning
• Statistical Thinking
Authentic Contexts Algebraic Evaluation
Evaluate:
3x -5 when x=4
Quantway™ Evaluation
The formula for the braking distance of a car is
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1. Let f = 0.8 and G = 0.05. Write a simplified form of the formula using these values for the two variables.
2. How can you verify your predictions about the relationship between velocity and braking distance?
Comparative Concepts Linear Equations
Find the equation of the line passing through the points
(2,-4) and (-3,7).
Write the equation in
slope-intercept form.
Quantway™ Linear
You want to have your own phone and need to decide which option costs less. Note that the descriptions of these options are examples of verbal representations of the mathematical relationships.
• Per-Minute Pricing: There is a monthly fee of $15.99 plus $0.13 per minute.
• Unlimited Plan: The plan costs $39.99 per month. The phone is free and unlimited minutes of talk time are included, but a two-year contract is required.
Find linear models to help you decide.
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Curriculum Components
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Online Component (MyQuantway) Instructor & Student Course Guides
Homework = OCE + PNL Online Faculty Resource Site
Assessments
Origin of the Quantway Course
• Sponsored by the Carnegie Foundation for the Advancement of Teaching
• Representatives from eight community colleges from GA, NY, and OH involved in revision, development and piloting the original material
• Quantway launched in Spring 2012 semester
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Quantway Network Improvement Community (NIC)
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21 Community Colleges
10 States (CT, GA, HA, MA,
MN, NJ, NY, OH, WV, WI)
The BMCC Quantway Course Timeline:
• Year 1 (2010-2011)
• Initial co-development
• Year 2: (2011-2012)
• Lesson studies Fall 2011
• Piloted Spring 2012 (3 sections)
• Year 3: (2012-2013)
• Faculty Training (summer 2012 and winter 2013)
• 7 sections Fall 2012 and 17 sections Spring 2013
• Continuous faculty collaboration
• Year 4: (2013-2014)
• 17 sections Fall 2013 and 14 sections Spring 2014
• Lesson Studies and Curriculum improvement
• Continuous faculty collaboration
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Performance Analysis
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Students Performance in Elementary Algebra and Quantitative Literacy courses, Spring 2012 – Fall 2013
GROUPS Passed Failed
Elementary Algebra N=10265 (405 sections)
38% 3901
62% 6364
Quantitative Literacy N=1099 (44 sections)
60% 654
40% 445
Propensity Matching
QL
(N=418)
EA Matched (N=418)
All EA students (N=2433)
Passed 53% 29%* 33%* * Fisher’s exact test shows these differences between QL and EA pass rates to be significant at a level of p = .000.
Quantitative Literacy and Elementary Algebra, Spring 2013 pass rates
Quantitative Literacy N=418
Elementary Algebra (Matched)
N=418
Pass:
53%
29%
Fail: 29% 51%
Withdrew Officially 8% 9%
Withdrew Unofficially
8% 9%
Never attended 2% 2%
Quantitative Literacy and Elementary Algebra, Spring 2013 Pass Rates
Quantitative Literacy and Elementary Algebra, Spring 2013 Pass Rates
QL Group EA Matched
Group
Enrolled in next Level Math Course 159 87
Passed 110 44
% Passed 69% 51%
QL and EA restricted matched cohort groups passing rates by the end of Fall 2013
QL Group EA Matched
Group
Enrolled in credit-bearing math course 159 67
Passed 110 40
% Passed 69% 60%
Propensity Matching