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An Exciting Mathematical Reasoning Course – Quantway™ AMATYC 11/2/2013

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Page 1: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

An Exciting Mathematical

Reasoning Course – Quantway™ AMATYC 11/2/2013

Page 2: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

The story is a familiar one: A high-school dropout and single mother works the supermarket late shift. Motivated to earn a four-year degree so she can have a better life for herself and her 4-year-old daughter, she enrolls in a community college after earning a GED. Three years later, she still hasn’t completed the sequence of three remedial math courses required before she can take college-level math. Defeated, she says, "I just couldn’t do it anymore.“ For this student and too many others, the dream stops here.

Page 3: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Presentation Goals

Introduce you to:

the Quantway™ Initiative

the Quantway™ I course materials

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Page 4: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

The Problem: Developmental Math

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60% of community

college students

60% of CC students taking the placement exam need at least 1 remedial course. Sinclair 80%

3-5 additional courses

The remedial college math path can be 3-5 courses Sinclair 5 courses

> More students drop out between courses than from an actual class

1 remedial math

pathway

Only one remedial math pathway, regardless of major

Page 5: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Solution: Community College Pathways (CCP) program

CCP – an innovative, transformative strategy in undergraduate mathematics education.

Started in 2009 by The Carnegie Foundation for the Advancement of Teaching with

+ Bill and Melinda Gates Foundation

+ William and Flora Hewlett Foundation

+ Kresge Foundation

+ Carnegie Corporation of the New York

+ Lumina Foundation

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Page 6: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Community College Pathways (CCP) program

To develop and implement CCP program, the Carnegie Foundation formed a network of

• Community colleges

• Professional association

• Educational researchers

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Page 7: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Solution: New Mathematics Pathways

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Through college-level statistics for non-STEM majors requiring introductory level stats

“To-and-through”

non-STEM college-level

quantitative reasoning for

Associate of Arts majors

(AA)

Two 1-year pathways for elementary algebra students

1

2

Page 8: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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Seeding the Network

8 Community colleges

3 States (NY, OH, GA)

Page 9: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Network Shared Aims

To improve mathematical literacy and quantitative reasoning in the non-STEM student population

To increase from 5% to 50% the number of nonSTEM students who achieve college math credit within one year of continuous enrollment

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Page 10: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

SW1 SW 2

10

QW1 QW2

Alg 1 Alg 2 College Math

College Math

Credit

Semester

1

Semester

2

Semester

3

College Math

Credit

College Math

Credit

Page 11: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Quantway™ – 2 courses

Quantway™ I – (1st term) fulfils the requirement for students’ developmental mathematics sequence

Quantway™ II – (2nd term) results in college mathematics credit

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Page 12: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Goal of Quantway™

• To help students learn things that they can actually use in life--not so they can memorize it for a test and then forget it.

• Students use numerical reasoning for decision making, argumentation and sense making about real-world questions, problems and contexts of personal, social and global importance.

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Page 13: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

The Roadmap to Success

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Create a new course that challenges students using

real world applications following these guiding

principles:

Student will struggle with important

mathematics

Make explicit connections to mathematical

concepts

Use deliberate practice by applying concepts

and procedures in order to solve problems

Page 14: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Productive Struggle

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“Solving problems that are within reach and grappling with key mathematical ideas that are comprehensible but not yet well formed”

(Schmidt & Bjork, 1992)

Page 15: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Fixed Mindset: “Being a 'math person' or not is

something about you that you really can't change. Some

people are good at math and other people aren't."

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87%

10% 0%

20%

40%

60%

80%

100%

Agree Disagree

Page 16: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

The Course -Three Main Parts

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Productive Persistence

Classroom Lessons

Online Homework - MyQuantway

Page 17: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Productive Persistence

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What is Productive Persistence?

Page 18: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Productive Persistence

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We’re defining “productive persistence” as:

tenacity + good strategies.

To help more students successfully complete the math pathways, we want them to both persist in their studying and attendance (tenacity) and to do so efficiently and effectively (good strategies).

Page 19: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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Lessons

Each lesson begins with a rich problem that engages students’ thinking and requires productive struggle as a part of the learning process.

Lesson Themes: Citizenship

Medical Literacy

Personal Finance

Page 20: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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Quantway Learning Outcomes

Numerical Skills

Proportional Reasoning

Algebraic Reasoning

Reasoning with Functions

Page 21: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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Page 22: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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Page 23: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Comparative Concepts

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?

Page 24: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

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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Page 25: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

What is Average?

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Lesson 2.6

Page 26: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Classroom Experience

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Page 27: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Balancing Blood Alcohol

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Lesson 3.6

Page 28: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Classroom Experience

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Page 29: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

MyQuantway – The Out-of-Class Experience

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Overview of the Platform and its Features

Online assessments with built in Productive Persistence - Making Connections to the Lessons - Developing Skills and Understanding - Making Connections to the Course - Preparing for the Next Lesson Powerful Gradebook Announcements Attachments and handouts Forums for discussion

Page 30: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Time to Complete College Level Math Course: Quantway™ vs. Traditional Math

Year 2 Year 1 Year 3

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Page 31: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Sinclair Assessment Specifics

Quantway™ I

Success rate: 67% (56% nationally) of students successfully completed(n=315)

Many students then moved on to our college-level course liberal-arts math course. This increased the number of AA students completing their math requirements at SCC by 60% over the previous year.

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Page 32: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Have you been Quantified?

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Page 33: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Q & A

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Page 34: An Exciting Mathematical Reasoning Course Quantway · The Problem: Developmental Math 4 60% of community college students 60% of CC students taking the placement exam need at least

Contact Information

Sinclair Community College

Kinga Oliver [email protected]

Craig Birkemeier [email protected]

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