rethinking developmental mathematics, high school math courses, and college readiness
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Rethinking Developmental Mathematics, High School Math Courses, and College Readiness. Advisory Team for Quantitative Reasoning HS and HE courses Charles A. Dana Center T he University of Texas at Austin September 23, 2013. About the Dana Center. - PowerPoint PPT PresentationTRANSCRIPT
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Rethinking Developmental Mathematics, High School Math Courses, and College Readiness
Advisory Team for Quantitative Reasoning HS and HE coursesCharles A. Dana Center The University of Texas at Austin
September 23, 2013
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About the Dana Center
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The Charles A. Dana Center at The University of Texas at Austin works with our nation’s education systems to ensure that every student leaves school prepared for success in postsecondary education and the contemporary workplace.
Our work, based on research and two decades of experience, focuses on K–16 mathematics and science education with an emphasis on strategies for improving student engagement, motivation, persistence, and achievement.
We develop innovative curricula, tools, protocols, and instructional supports and deliver powerful instructional and leadership development.
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There are serious disconnects HSHigher Ed
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Source: Complete College America
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In mathematics, developmental education is even more common 67% of community college students are referred to one or more
developmental math courses (and 80%+ in some systems)
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Developmental Education Pipeline at Public Two-Year Colleges Fall 2007 Cohort
Cohort total: 99,097
Of students below state standard in mathematics 100
Enrolled in developmental education 83
Achieved college readiness 39
Attempted first college-level course 21
Successfully completed first college-level course 15
Source: Texas Higher Education Coordinating Board
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Long developmental sequences increase attrition
Two-year cohort data from a typical large community college in Texas
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There are serious disconnects HSHigher Ed
High school preparation often has not led to college readiness…
“Well, I think the biggest thing for them is, here, they’ve graduated from high school but they come and take our placement test and they’re still in pre-college … math and they don’t understand that if they stop taking math in their sophomore year that, you know, they don’t get it…
and I think the sad thing is that they say…‘no one told me that I should be taking math all the way through’.”-community college advisor (Stanford University Project report, 2004)
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If high school had demanded more, graduates would have worked harder
82%80%
Would have worked harder Strongly feel I would have worked harder Wouldn’t have worked harder
High school graduates who went to college
High school graduates who did not go to college
Source: Peter D. Hart Research Associates/Public Opinion Strategies, Rising to the Challenge: Are High School Graduates Prepared for College and Work? prepared for Achieve, Inc., 2005.
Achieve, 2005
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Majority of graduates would have taken harder courses
Knowing what you know today about the expectations of college/work …
Would have taken more challenging courses in:
Would have taken more challenging courses in at least one area
Math
Science
EnglishSource: Peter D. Hart Research Associates/Public Opinion Strategies, Rising to the Challenge: Are High School Graduates Prepared for College and Work? prepared for Achieve, Inc., 2005.
Achieve, 2005
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The Dana Center is working on a multi-pronged approach to smooth transition HSHigher Ed
Redesign higher education remediation at scale: the Dana Center’s New Mathways Project
Support districts’ high school standards implementation to ensure college-ready mathematics for all students (CCSSM, TEKS)
Introduce a new breed of 4th-year high school mathematics courses that provide an additional pathway into college readiness
Work in the policy sphere to ensure students can transition successfully
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Audience: Students graduating from high school should be college ready
HS HE math
College ready
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The Dana Center is working on a multi-pronged approach to smooth transition HSHigher Ed
Redesign higher education remediation at scale: the Dana Center’s New Mathways Project
Support districts’ high school standards implementation to ensure college-ready mathematics for all students (CCSSM, TEKS)
Introduce a new breed of 4th-year high school mathematics courses that provide an additional pathway into college readiness
Work in the policy sphere to ensure students can transition successfully
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NMP audience: Students directly from high school and not college ready in mathematics
HS HE math
NMP Not college
ready
College ready
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NMP audience: Students not directly from high school and not college ready in mathematics
HE math
NMP Not
college ready
Not directly from HS
College ready
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New Mathways Project: Setting the agenda
Charles A. Dana Center at the University of Texas at Austin
Led development of original curricula for pathways to college success—Statway and Quantway—in partnership with the Carnegie Foundation
Texas Association of Community Colleges
Represents all 50 community college systems in Texas
Represents the interests of community colleges in state policymaking and budgeting
A unique partnership of colleges setting the agenda for reform
addresses issues from the classroom to state policy
allows for collaboration and input from people at all levels of the system
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The Principles of the NMP Model
A systemic approach to improving student success and completion by reforming developmental and gateway mathematics:1. Multiple pathways with relevant and challenging mathematics content
aligned to specific fields of study
2. Acceleration that allows students to complete a college-level math course within 1 year—more quickly than in the traditional developmental math sequence.
3. Intentional use of strategies to help students develop skills as learners and experience college success
4. Curriculum design and pedagogy based on proven practice
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The NMP Courses
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The NMP Courses
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The Dana Center is working on a multi-pronged approach to smooth transition HSHigher Ed
Redesign higher education remediation at scale: the Dana Center’s New Mathways Project
Support districts’ high school standards implementation to ensure college-ready mathematics for all students (CCSSM, TEKS)
Introduce a new breed of 4th-year high school mathematics courses that provide an additional pathway into college readiness
Work in the policy sphere to ensure students can transition successfully
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Audience: Students graduating from high school should be college ready
HS HE math
College ready
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Audience: Students graduating from high school with college credit are, de facto, college ready
HS HE math
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Proposed pathways to readiness for college math
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Alg I Geom Alg IIGrades 6, 7, 8
Precal AP Stat
AMDM/AQR
(and other 4th yr )
QR (and other dual
enroll)
College mathematics
Successful completion certifies college readiness in mathematics
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If the goal of college readiness is for students to succeed in college-level courses, students need access to—and experience in—college-level courses.
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Quantitative Reasoning: A proposed new dual enrollment course
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Built using similar outcomes as college-level QR courses
Emphasizes content meaningful to students’ professional, civic, and personal lives
Develops skills in interpreting, understanding, and using quantitative information
Teaches algebraic and modeling skills through quantitative literacy lens
Emphasizes critical thinking and strategic reasoning
Designed for non-STEM intending students
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Quantitative Reasoning: A proposed new dual enrollment course
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Quantitative Reasoning from a National Perspective
Eric Gaze, Ph.D.
President-elect, National Numeracy Network
Bowdoin College, Brunswick, Maine
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Quantitative Reasoning: What is it?
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The Dana Center is working on a multi-pronged approach to smooth transition HSHigher Ed
Redesign higher education remediation at scale: the Dana Center’s New Mathways Project
Support districts’ high school standards implementation to ensure college-ready mathematics for all students (CCSSM, TEKS)
Introduce a new breed of 4th-year high school mathematics courses that provide an additional pathway into college readiness
Work in the policy sphere to ensure students can transition successfully
25
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The Dana Center is working on a multi-pronged approach to smooth transition HSHigher Ed
What are the policy implications we need to consider?
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Contact Information
General information about the Dana Center: www.utdanacenter.org
Higher Education work: www.utdanacenter.org/higher-education/
To receive monthly updates about the NMP, contact us at: [email protected]
Staff contacts: Susan Hudson Hull (mathematics): [email protected] Amy Getz (NMP general project issues): [email protected] Connie Richardson (NMP QR development): [email protected] Kathi Cook (HS course program): [email protected] Lindsay Fitzpatrick (policy issues): [email protected]
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Quantitative Reasoning Outcome Planning
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High School Course Descriptors
Proportional reasoning, ratios, rates, percents, vectors, matrices, network models, mathematical models, voting, selection, geometric representations, inaccessible distances, probability, expected value, analysis of statistics, conduct statistical studies, function models, multiple representations, reasoning, evaluation, communication, connections, vectors, matrices, polynomials, rational expressions, equations, inequalities, trigonometric functions, similarity, right triangles, measurement, dimension, geometric modeling, statistics, probability, interpreting data, making inferences, justifying conclusions, decision-making, numerical reasoning, probability, statistical analysis, finance, mathematical selection, modeling, algebra, geometry, trigonometry, discrete, analyze real-world numerical data, risk, return, analyze statistical summaries, make decisions, conduct statistical studies, communication, ranking, selection, modeling, predicting, evaluating, modeling change, finance, networks, geometric modeling
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High School Course Descriptors
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Higher Ed Course Descriptors
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Combined Course Descriptors
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Occurrences
> 5 times 4 times 3 times 2 times 2 times 2 times
statistics data communication analysis interpreting exponential
probability finance consumer analyze linear functions
modeling geometric mathematics applications logic inequalities
models geometry measurement change making information
reasoning mathematical percentages conclusions matrices proportion
statistical rates conduct number studies
theory representations decision of systems
selection equations processing vectors
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Single Occurrences
algebra discrete function network real tables
central distances game networks return tendency
citizenship division graph numeration right triangles
coding drawing inaccessible patterns risk trigonometric
combinatorics effective inferences polynomials scales trigonometry
connections evaluating informed predicting science units
conversions evaluation interest proportional set value
counting evidence justifying proportionality sets voting
decision-making expected make ranking similarity world
decisions expressions management ratio sophisticated
descriptive fair measures rational summaries
dimension from multiple ratios symmetry
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Statistics
The student makes decisions based on understanding, analysis, and critique of reported statistical information and statistical summaries.The student is expected to:(A) Identify limitations or lack of information in studies reporting
statistical information, including when studies are reported in condensed form;
(B) Interpret and compare the results of polls, given a margin of error;
(C) Identify uses and misuses of statistical analyses in studies reporting statistics or using statistics to justify particular conclusions; and
(D) Describe strengths and weaknesses of sampling techniques, data, and graphical displays, and interpretations of summary statistics or other results appearing in a study.
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Task
What are the “buckets”?
Learning outcomes
Performance descriptors