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TAAAMS – October 13, 2007 1 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX [email protected] Texas Association of Academic Administrators in the Mathematical Sciences

TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX [email protected]

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Page 1: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 1

Math 1324 – Finite MathCourse Redesign

G. Donald AllenDepartment of Mathematics

Texas A&M University College Station, TX

[email protected]

Texas Association of Academic Administrators

in the Mathematical Sciences

Page 2: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 2

Problem Solving & Technology

“It turns out that technology works best when it is solving a problem that people have come up against.”

---Robert Zemsky, chairman of the Learning Alliance for Higher Education

Page 3: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 3

Systemic Problems in Education

• Students don’t read well

• Students aren’t motivated

• Time and place factors

• The lecture is over-rated

• Student accountability

• Teacher-student communication gap

Page 4: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 4

Educational Technology

• Has been proven effective when…– Implemented carefully– Leadership is on board– Professional development is given– Appropriate curricular design is achieved

"Technology in Schools: What the Research Says“ Cisco - Metri

Page 5: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 6: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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THECB & Texas Education Code

• Section 61.0763 - To "implement a project under to revise entry-level lower division academic courses... to improve student learning and reduce the cost of course delivery through the use of information technology".

• Section 61.0762 - To "develop incentive programs that implement research-based, innovative developmental education initiatives... to enhance the success of students".

Page 7: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 8: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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THECB -Course redesign funding

• Phase I Projects (07C) – – history (University of North Texas)– Calculus (UT TeleCampus)– English composition (DCCCS & Texas Tech

University).

• Phase II Projects – 6 projects – College algebra – Del Mar College

• Phase III Projects – 17 projects to be completed by August, 2009

Page 9: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Phase III - Math Projects

1. Developmental math – UTB

2. Math 1342 (Elementary Statistics) – UTB

3. Math 1324 (Finite Math) – TAMU / WTAMU

4. Algebra Professional Development Modules – UNT

5. Developmental Math & College Algebra – UNT & North Central Texas College

Page 10: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 11: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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National Center for Academic Transformation

• NCAT is dedicated to the effective use of information technology to – improve student learning outcomes – reduce the cost of higher education

• NCAT provides expertise and support seeking proven methods for providing more students with education.

Page 12: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 13: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 13

Types of Course Redesign

• The Supplemental Model

• The Replacement Model • The Emporium Model

• The Fully Online Model

• The Buffet Model

Page 14: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Course Redesign• Overheard in the student center…

I sure miss the good ‘ole days when there was just the lecture. Then I knew what to complain about.

Page 15: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Supplemental model

• Retains the basic structure of the traditional course

• May simply supplement lectures and textbooks with technology-based, out-of-class activities to encourage greater student engagement

• May add technology-based, out-of-class activities and also change what goes on in the class by creating an active learning environment

Page 16: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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The Emporium Model

• Eliminates all class meetings and replaces them with a learning resource center featuring online materials and on-demand personalized assistance.

• Replaces multiple sections with one large section of all students.

• Depends heavily on instructional software, including interactive tutorials, practice exercises, solutions to frequently asked questions, and online quizzes and tests.

• Requires a significant commitment of space and equipment.

Page 17: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Replacement Model Reduces the number of but not all in-class

meetings Replaces some in-class time with online, interactive learning activities

Assumes that certain activities can be better accomplished

May keep remaining in-class activities more or less the same – or make significant changes

May schedule out-of-class activities in 24*7 computer labs

Page 18: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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The Fully Online Model

• Eliminates all in-class meetings and moves all learning experiences online.

• Adopts successful redesign elements including Web-based, multi-media resources, commercial software, automatically evaluated assessments with guided feedback, links to additional resources and alternative staffing models.

Page 19: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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The Buffet Model

• Customizes the learning environment for each student. Modularizes course content.

• Requires an online assessment of student's learning styles and study skills.

• Offers students an assortment of individualized paths to reach the same learning outcomes

• Includes an array of learning opportunities for students: e.g. lectures, individual or group discovery laboratories, individual and group review

Page 20: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 20

Technology is not a sure fix …

Page 21: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 22: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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WebCalC

• Features: Fully online setting but Studio setting– Perfect mathematical typography, great color and

graphics– Interactive quizzes and exams; Internet linked; fast

downloads– Symbolic mathematics capabilities– Complete solutions to examples and exercises– Question-answer notes– Animation and Java, sound and video

• Years of testing!

Authors: Don Allen, Phil Yasskin, Michael Stecher

Page 23: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Facilitator Mode

• Facilitator mode - In the facilitator mode, the instructor is in the classroom with the students during a regularly scheduled period.

• Answers questions in situ• Assigns/collects/grades homework• Keeps the pace• Makes/grades exams and quizzes• Holds office hours

What is studio mode?

Page 24: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Lessons learned

• Students adapt to online learning without difficulty.

• Students learn to "get to work" right away, making efficient use of their time.

• Students like the task-oriented environment.

• Students can work together.

Page 25: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Lessons learned

• Greater student friendliness

• Increased task orientation

• Increased ease of navigation

• Faculty bulletproofing

In follow-up studies, it appeared the WebCalC students did slightly better than those in traditional sections.

Page 26: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 27: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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TAMU/WTAMU

• Team TAMU– Don Allen, Ben Aurispa, Al Boggess, Kathryn

Bollinger, Janice Epstein, Sandra Nite, Heather Ramsey, Sherry Scarborough, Robert Wheeler, Jill Zarestky

• Team WTAMU– Dan Seth, Greg Lawler, Becky Walls

• Evaluators – Claudia Davis, Pat Stone

Page 28: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Goals

1. Improve learning outcomes

2. Obtain greater success rates

3. Reduce costs

4. Improve perception of mathematics as a a. Subject to know

b. Subject to apply

Page 29: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 29

Redesign Modalities

• Materials development

• Classroom redesign modes

Page 30: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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General Redesign Structure

• Learning outcomes-based materials

• Video everything

• Online homework

• Class format flexibility

• Textbook mapping

Page 31: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Features

• Video lectures (with integrated quizzes) – 30-45 minutes

• Tutorial videos –short 3-10 minute videos on special topics

• Problem videos –videos consisting of one or two problem solutions

• Weekly quizzes & Online and off-line homework systems

• Calculator tutorials – self contained tutorials • Textbook mapping – what’s that?? • Applets

Page 32: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Course Redesign --- NOT!!

Find the center of the circle described by x2 + y2 - 2x + 2y = 21.

a. (2, -1)

b. (1, -1)

c. (2, 2)

d. (-1, 1)

e. None of the above

You have five chances to answer correctly.

Page 33: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Applets (to date)

• Sets

• Compound Interest

• Matrix multiply

• Revenue-Cost curves

Page 34: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 35: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Course Redesign – class format

Flexibility is Key!!

• Monday/Wednesday/Friday– Monday: preparing for the week

– Wednesday: general discussion of materials

– Friday: in the lab for tutorials and weekly quiz

Page 36: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 36

How much - How little, Online?

• “We have to look at what we’re trying to accomplish in a particular course and figure out the right blend of face-to-face and online. That blend is going to vary from subject to subject and particularly from student to student because students are quite different in their needs”

---Carol Twigg (Educause Review 29 (4): 50-62 2004)

Page 37: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Evaluation

• Decrease the D-W-F rates

• Increase the retention rate

• Increase student learning and retention of knowledge and skills

• Increase student motivation and course satisfaction

• Create quality on-line course content and assessments

Page 38: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Bringing it Online

• Spring ‘08 Pre-pilot, evaluate

• Summer ‘08 Repair, revise, complete materials

• Fall ‘08 Pilot, evaluate

• Spring ‘09 Production version

• Summer ’09 Preparation for distribution

Page 39: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 39

Sustainability

• Sustainability rests upon– Success in increasing retention rates and

student learning– Ease of use by faculty & faculty buy-in– Continuing work on the project beyond the

expiration of the grant – Reducing instructional costs– Faculty training

Page 40: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

TAAAMS – October 13, 2007 40

Dissemination

• Dissemination rests upon– Direct contact with other campuses (demos)– Flexibility of product use– Textbook mapping– Faculty handbook on course use– Commercial contracts?

Page 41: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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E-Learning/Course Redesign

• Eases communications for students

• Offers the convenience of time and place

• Attracts well-motivated students

• Provides an alternative to the “failed lecture system”

• Improves student and institutional flexibility

• Gives the “high” in the new “hybrid” courses.

Page 42: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Page 43: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Future Competitions

• Phase IV RFP is in the planning stages

• Find partnering institutions

• But… What course to select?– CCGN 1314 – College Algebra– CCGN 1324 – Finite math– CCGN 1325 – Business calculus– CCGN 1350/1 – Fundamentals of math I,II

Page 44: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Future Competitions

• What course to select? – CCGN 2312 – Precalculus– CCGN 2313/14/15 – Calculus I, II– CCGN 2318 – Linear Algebra– CCGN 2320 – Differential Equations

Page 45: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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More Information

• THECB http://www.thecb.state.tx.us/AAR/courseredesign/

• NCAT http://www.thencat.org/

Page 46: TAAAMS – October 13, 20071 Math 1324 – Finite Math Course Redesign G. Donald Allen Department of Mathematics Texas A&M University College Station, TX dallen@math.tamu.edu

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Course Redesign --- NOT!!