 |
|
|
| |
| |
| |
| |
| |
| |
| |
| |
| The 2005 Summer Calculus Institute will provide fifty (50) secondary school teachers with the materials and pedagogy necessary for implementing successful reform-based calculus programs in their own schools.
Held in our nation's capital, Washington D.C., participants will have the option of staying on the campus of Catholic University or at local hotels. All participants will receive a copy of the text, Calculus, Single Variable, 3rd ed. by Deborah Hughes-Hallett, et al, and a small stipend to help defray travel and lodging costs. |
| |
|
| |
| |
| |
| About the Summer Institute |
|
| Through a generous grant from the Calculus Consortium for Higher Education (CCHE), a three day institute will be held in Washington, DC from July 18th - July 20th, 2005. Catholic University, conveniently located in downtown DC close to Union Station, will host the event providing meeting space, lodging options, and other amenities. Participants will be provided the pedagogy and resource materials necessary to implement the philosophy of reform calculus in their own classrooms. Texas Instruments has agreed to provide technological support (TI-89 ViewScreen Calculators) and People's Publishing, Inc. has donated resources. In addition, various meals and a small stipend will be given to all participants.
Within a workshop environment, participants will engage in discussions and problem-solving activities consistent with the philosophy of the reform movement in calculus. Upon completion of the institute, participants will take with them classroom-ready materials associated with each of the major topics of the AP Calculus exam. Find below a tentative schedule of events: |
|
|
| Monday July 18th |
|
| 10:00 - 10:30 am |
Registration |
| 10:30 - 11:00 am |
Welcome and Introductions |
| 11:00 - 12:30 pm |
The Philosophy of the Reform Calculus Movement - Judith Broadwin, presenter |
| 12:30 - 1:15 pm |
Lunch (provided by the institute) |
| 1:15 - 2:45 pm |
The Fundamental Theorem of Calculus - A Geometric Approach |
| 3:00 - 4:15 pm |
Hands on Area and Volumes |
| 4:15 - 5:30 pm |
Room check-in |
| 5:30 - 7:00 pm |
Cocktails and Dinner (courtesy of Catholic University) |
|
| Tuesday July 19th |
|
| 8:00 - 8:30 am |
Continental Breakfast |
| 8:30 - 10:00 am |
Multiple Approaches to the Derivative |
| 10:15 - 11:45 am |
Related Rates, Optimization, and other Application Problems |
| 11:45 - 1:00 pm |
Lunch on your own |
| 1:00 - 2:30 pm |
TI-89 Titanium Boot Camp |
| 2:45 - 4:15 pm |
Differential Equations from Multiple Perspectives |
| 4:30 - 7:00 pm |
Dinner on your own |
| 7:00 - 8:30 pm |
Calculus Treasure Hunt |
|
| Wednesday July 20th |
|
| 8:00 - 8:30 am |
Continental Breakfast |
| 8:30 - 10:00 am |
AB and BC Calculus Breakout Sessions |
| 10:15 - 12:00 pm |
The AP Exam - All You Need to Know |
| 12:00 - 1:00 pm |
Lunch on your own |
| 1:00 - 2:45 pm |
Implementing Reform Calculus in your School |
| 3:00 pm |
Participants Depart |
|
|
| back to top |
|
| About the Calculus Consortium |
| |
| In the late 1980's, the problems of undergraduate calculus instruction in the United States were of sufficient magnitude that the finding of a solution was funded by the National Science Foundation. The largest grant was given to the Calculus Consortium based at Harvard University. This Consortium consisted of a large number of diverse institutions working in cooperation. One of the largest contributions of the Consortium was the production of calculus texts featuring an emphasis on modeling, readability, and a flexible approach to technology. Faculty in engineering, physics, chemistry, biology and economics had considerable input into these texts, both in choice of topics and choice of applications. Comments were solicited from a large number of mathematicians and instructors in client disciplines. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students. |
| |
| The authors focused on a small number of key concepts, emphasizing depth of understanding rather than breadth of coverage. The curriculum was prepared by starting with a clean slate. Some new topics, such as differential equations, were added, and some traditional topics whose inclusion could not be justified after discussions with mathematicians, engineers, physicists, chemists, biologists, and economists were omitted |
| |
| Exercises in the texts are of central importance since students learn most when they are most active. Problems are varied and some are challenging. Most cannot be worked by following a template in the texts. |
| |
| The guiding principles of the Calculus Consortium are as follows:
- Rule of Four:
Where appropriate, topics should be presented geometrically, numerically, analytically, and verbally.
- Problem Driven
Formal definitions and procedures evolve from the investigation of practical problems. Whenever possible, the authors start with a practical problem and derive the general results from it. These practical problems are usually, but not always, real world applications.
- Open-Ended Real World Problems
The real world problems are open-ended, meaning that there may be more than one solution depending on a student's analysis. Many times, solving a problem relies on common sense ideas that are not stated in the problem but which students will know from everyday life.
- Plain English
These books present the main ideas of calculus in plain English to encourage the students to read in detail, rather than just reading the worked out examples.
|
| |
| back to top |
| |
| Lodging |
| |
| Catholic University will offer apartment style (single and double rooms) with living room, kitchen, and private baths. Participants will have the option of a two-night stay (Mon and Tue) or three-night stay (Sun, Mon, Tue) with linens provided. Check-in is from 2pm-10pm in the lounge/foyer of Millennium North. Participants will receive room keys, conference IDS and additional information about dining and the campus. Single occupancy prices and double occupancy rates will range from $45.00 - $60.00 per person per night. Indicate on your application for the Institute if you want more information about lodging on the campus of Catholic University.
Off-Campus Accommodations
Local hotels and inns in Washington DC can be found at
http://welcome.cua.edu/tostay.cfm
|
| |
| back to top |
| |
| Directions to Catholic University |
| |
| For directions and information, visit the Catholic University website.
http://www.cua.edu |
| |
| back to top |
| |
| About the Instructors |
| |
| Lois Cohen and Craig Herring are both AP Calculus teachers at McLean High School in Fairfax County, Virginia. In addition to writing an Algebra I book for Barron's Educational Publishing, they have presented at numerous local, regional, and national conferences. This spring they will present at VCTM in Williamsburg, Virginia on March 11th, at the T3 International Conference in Washington DC on March 19th, and at NCTM in Anaheim, California on April 7th. |
| |
| back to top |
| |
|
|
|
