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Critical Issues in Education Workshop: Teaching and Learning Algebra
May 14, 2008 to May 16, 2008

Organizer(s)

Al Cuoco, chair, (Center for Mathematics Education), Deborah Ball, ex officio (University of Michigan), Hyman Bass (University of Michigan), Herb Clemens (Ohio State University), James Fey (University of Maryland), Megan Franke (UCLA), Roger Howe (Yale University), Alan Schoenfeld (UC Berkeley), and Ed Silver (University of Michigan).
Please note: Because we have had such a wonderful response to this workshop, we have run out of space. We're sorry for any inconvenience, but this has forced us to close registration. Thank you for your support and interest in Math Education.

For over two decades, the teaching and learning of algebra has been a focus of mathematics education at the precollege level. This workshop will examine issues in algebra education at two critical points in the continuum from elementary school to undergraduate studies: at the transitions from arithmetic to algebra and from high school to university. In addition, the workshop will involve participants in discussions about various ways to structure an algebra curriculum across the entire K-12 curriculum.

The workshop design is guided by three framing questions:
Question 1: What are some organizing principles around which one can create a coherent pre-college algebra program?

There are several curricular approaches to developing coherence in high school algebra, each based on a framework about the nature of algebra and the ways in which students will use algebra in their post-secondary work. We seek answers to this question that articulate the underlying frameworks used by curriculum developers, researchers, and teachers.

Question 2: What is known about effective ways for students to make the transition from arithmetic to algebra?

What does research say about this transition? What kinds of arithmetic experiences help preview and build the need for formal algebra? In what ways does high school and undergraduate mathematics depend on fundamental ideas developed in the transition from arithmetic to algebra? What are some effective pedagogical approaches that help students develop a robust understanding of algebra?

Question 3: What algebraic understandings are essential for success in beginning collegiate mathematics?

What kinds of problems should high school graduates be able to solve? What kinds of technical fluency will they find useful in college or in other post-secondary work? What algebraic habits of mind should students develop in high school? What are the implications of current and emerging technologies on these questions?

The audience for the workshop includes mathematicians, mathematics educators, classroom teachers, and education researchers who are concerned with imporving the teaching and learning of algebra across the grades. Sessions feature direct experience with several curricular approaches to algebra, as well as reports from researchers, educators, and members of national committees that are charged with finding ways to increase student achievement in algebra.



Right-click link and select "Save Target As" or Save Link As" to save a copy of the file onto your computer. The following files are PDF's.

Patrick Thomson: Session 1.3c ThursdayZalman Usiskin:Session 1.1 WednesdayAlan Schoenfeld: Session 2.1 ThursdayStephanie Ragucci: Session 1.3a Thursday

Group Photo (2.97MB)




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ACCOMMODATIONS:

A block of rooms has been reserved at the hotels below:

Double Tree Hotel (Berkeley Marina). Attendees may make their reservations by calling the Hotel Reservation’s Department directly at 1-800-243-0625 or our Central Reservations’ toll-free number at 1-800-222-TREE (8733), or via the internet using their Personalized On-Line Group pageno later than Tuesday, April 22, 2008 by 5PM PST. Please mention the name of the event while making reservations which is: Critical Issues Mathematics. Hotel's complementary shuttle to the UC Berkeley Campus runs every hour. The room rate is $139/ a night.

Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: K20000. Rooms are still available!The room rate is $199/ a night.

The Women's Faculty Club University of California, Berkeley. Please make your reservation via phone, fax or e-mail:
Tel: (510) 642-4175
Fax: (510) 204-9661
wfc@uclink.berkeley.edu
Identify yourself as coming to MSRI, mention the workshop name, and give the name of Robert Bryant as faculty sponsor, the department phone # 642-0143 and a credit card # to guarantee.
Rates: Single:$113/night; Double/queen bed: $126; Double/twin beds: $127
The cut-off date for reservations is April 28, 2008

Berkeley City Club 2315 Durant Ave., Berkeley
Tel: (510) 848-7800
Fax: (510) 848-5900
berkeleycityclub@aol.com
Please mention the name of the event while making reservations which is: Critical Issues Mathematics.
Room Rates: Single or Double:$110/ a night
Rates include tax, buffet breakfast,and parking. The cut-off date for reservations is April 13, 2008

Important: Please see Travel funding rules and
Airline travel reimbursement restrictions.




Detailed Workshop Schedule with Abstracts (130KB PDF File)

Note: Registration for this event is closed.
Schedule
Wednesday, May 14, 2008
3:00PM - 5:30PM Tom Sallee, Zalman Usiskin, Al Cuoco, James Fey, Diane Resek What are some organizing principles around which one can create a coherent pre-college algebra program? [Video available]
6:45PM - 7:15PM Deborah Ball The National Mathematics Advisory Panel Report: Summing Up and Taking Stock [Video available]
7:15PM - 12:00AM William McCallum Report on the NCTM Lenses on High School Mathematics report [Video available]
7:45PM - 8:45PM Hyman Bass, Roger Howe Discussants on the presentation [Video available]
Thursday, May 15, 2008
8:15AM - 9:15AM Carol Cho 1.3b Parallel Sessions: Question 1 [Video available]
8:15AM - 9:15AM Sybilla Beckmann Solving algebra story problems with simple “strip diagrams,” solving them with algebra, and connecting the two approaches. [Video available]
8:15AM - 9:15AM Pat Thompson 1.3c Parallel Sessions: Question 1 [Video available]
8:15AM - 9:15AM Annette Roskam, Stephanie Ragucci Problem Solving Using CME & Core-Plus [Video available]
8:15AM - 9:15AM Matt Bremer 1.3c Parallel Sessions: Question 1 [Video available]
9:45AM - 11:15AM William McCallum, Roger Howe, Betty Phillips Discussants on the presentation [Video available]
1:00PM - 3:00PM Uri Treisman, Alan Schoenfeld, David Carraher, Jo Ann Lobato What is known about effective ways for students to make the transition from arithmetic to algebra? [Video available]
3:30PM - 4:30PM Mark Saul 2.2c Parallel Sessions: Question 2 [Video available]
3:30PM - 4:30PM Ted Courant Does 8th grade algebra prepare students for Geometry and high school mathematics? [Video available]
3:30PM - 4:30PM Deborah Schifter, Susan Jo Russell, Virginia Bastable Strengthening K-5 Arithmetic/Preparing for Algebra [Video available]
3:30PM - 4:30PM Paul Goldenberg How the ideas and language of algebra K-5 set the stage for algebra 8-12 [Video available]
3:30PM - 4:30PM Betty Phillips 2.2c Parallel Sessions: Question 2 [Video available]
4:30PM - 6:30PM Hung-Hsi Wu, Herb Clemens, Robert Moses, Mary Jo Tavormina The transition from arithmetic to algebra: further perspectives [Video available]
Friday, May 16, 2008
8:15AM - 9:45AM Hyman Bass, Ed Silver, James Fey Discussants on the presentation [Video available]
10:15AM - 11:45AM William McCallum, Tom Roby, Deborah Hughes Hallett What Algebraic understandings are essential for success in beginning collegiate mathematics? [Video available]
12:45PM - 1:45PM William McCallum Question 3 Talk [Video available]
12:45PM - 1:45PM Glenn Stevens Mining the early mathematics curriculum [Video available]
12:45PM - 1:45PM Dan Chazan, James Fey What algebraic understandings do we wish future teachers might gain in college? [Video available]
1:45PM - 3:15PM Herb Clemens, Mark Saul Discussants on the presentation [Video available]
3:45PM - 5:15PM Hung-Hsi Wu, Al Cuoco, Dan Chazan Preparing teachers to teach algebra [Video available]
5:15PM - 5:45PM Deborah Ball Connections among the questions [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Critical Issues in Education Workshop: Teaching and Learning Algebra
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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