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PREP 2001-05

Past Workshops
The Mathematics of Images
This subject touches many parts of the undergraduate mathematics curriculum without requiring extensive prerequisites, and thus it is natural to adapt some of the recent research in this area for presentation in those courses, as visually appealing illustrations of the basic material, and as an invitation to enter the subject.
Making the Math Visible: Explorations in College Geometry Using the Geometer's Sketchpad
In this workshop, participants will use The Geometer’s Sketchpad to gain hands-on experience constructing and experimenting with geometric diagrams to develop visual insight into geometric, trigonometric and algebraic relationships.
Creating and Strengthening Interdisclipinary Programs in Quantitative Literacy
The goal of this workshop is for interdisciplinary campus teams to learn about many of the programs and assessment strategies that are now running, to gain familiarity with the tools, materials, and case studies that these programs have generated, and to have the opportunity to adapt and build upon these materials for use on their own campuses.
Interactive Internet-Based Multivariable Calculus
This workshop is intended for teachers of multivariable calculus who wish to explore the possibilities of new software for helping students develop a full range of geometric intuitions as well as formal skills in algebra, in abstract concepts in calculus (including continuity, differentiability, and curvature) and in effective writing.
Exploring Linear Algebra Using Maple
This workshop is designed for college and university teachers who are interested in using Maple as a pedagogical tool in their undergraduate classes. Specifically, the workshop focuses on using Maple in linear algebra, but the concepts and methods can be transferred (and have been transferred by the instructors) to other courses.
Post-Calculus Investigations of Statistical Concepts and Methods
This workshop is intended for college faculty who teach introductory statistics courses for mathematically inclined students. The goals of the workshop are to help participants adapt current content and pedagogical recommendations from algebra-based introductory statistics courses to the post-calculus level, providing mathematically inclined students with a more balanced introduction to the discipline of statistics.
Assessing the Undergraduate Program in Mathematics
The Supporting Assessment in Undergraduate Mathematics (SAUM) project aims to assist faculty in developing effective methods of assessing courses, blocks of courses, or entire programs within the mathematics department, to help faculty as they make critical decisions about course and curricular revision.
Computational and Mathematical Biology
2004 - 2005
This workshop will focus on the development of mathematical training of biology students and increasing awareness of biological applications among mathematical students, through courses and materials that benefit students from both disciplines.
Geometric Combinatorics
2004 - 2005
Geometric combinatorics refers to a growing body of mathematics concerned with counting properties of geometric objects described by a finite set of building blocks. This workshop is targeted at professors who desire to learn about this exciting field, enrich a variety of courses with new examples and applications, or teach a stand-alone course in geometric combinatorics.
Mathematics Meets Biology: Exclusion, Coexistence, Data Fitting
2004 - 2005
Mathematical biology is a fascinating and fast growing area of mathematics. The workshop is designed to intrigue and introduce college mathematics teachers to the exciting new world of mathematical biology. Focuses on courses and materials that integrate mathematics and biology in ways that benefit students from both disciplines.
Nifty Applications in Discrete Mathematics
2003 - 2004
The workshop will provide participants with an in-depth look at a number of problems and applications that arise in a typical discrete math course (sequence) which is designed to meet the needs of computer science majors.
The Geometry of Vector Calculus
Designed primarily for college and university teachers who use multivariable calculus in their courses. The workshop is suitable not only for mathematics faculty, but also for faculty in related disciplines, such as physicists teaching electromagnetism or engineers teaching statics.
Statistical Ratemaking
Insurance ratemaking is a great source of real world examples for undergraduate probability and statistics courses. The workshop is aimed at faculty interested in using these examples in their existing probability and statistics classes as well as those considering offering stand-alone actuarial science classes.
Revitalizing Your Developmental Mathematics Courses: A Context-Driven, Activity-Based Approach
2004 - 2005
Aimed at college instructors who want to make a positive change in their developmental mathematics courses by teaching mathematics in the context of its use by real people in real jobs.
Quantitative Literacy Across the Curriculum: Everybody's Project
Targeted at college an university teachers interested in helping students develop their quantitative literacy skills. It features a range of approaches to promoting QL, as well as a track for colleges in the process of developing QL or QR requirements at the institutional level.

Assessment at the Department Level
Since 2002

Designed to help faculty members play a leadership role as their departments conceptualize, formulate, and carry out the full assessment cycle concerning some aspect of their programs.

Authoring Online Interactive Materials in Mathematics
2002 - 03

An online workshop for faculty who want to learn to write online, interactive materials for undergraduate students.

Leading the Academic Department: A Workshop for Chairs of Mathematical Sciences Departments
Since 2002

This workshop will cover concepts of leadership, vision, and management as well as issues facing department chairs such as recruitment and retention of students, curriculum change, faculty hiring, retention, mentoring, and development, review, assessment, legal issues, conflict resolution, workload, adjuncts, TA’s, budgets and finances, external support.

Knot Theory
2002 - 03

In this workshop, participants will learn how to teach a course in knot theory, how to do research in knot theory and how to direct student research in knot theory.

Presenting Mathematical Masterpieces and Powerful Techniques of Effective Thinking to Non-Science Students
2002 - 03

Participants are invited to discover and experience hands-on methods for bringing deep mathematical results to life and for restructuring such courses as to emphasize and celebrate techniques of thinking.

Regression Analysis: The Heart of Statistical Methodology
2002 - 03

Learn regression principles and a gain a working knowledge of regression techniques, beginning with linear regression and covering classical techniques and modern methods for responses.
Integrating Technology into Mathematics Instruction (A Focus on Precalculus/Calculus)
For faculty or faculty teams from minority-serving or small institutions which have not yet implemented technology-based curricula because of scarce resources. The workshop emphasizes cost-effective approaches to addressing technology needs.
Earth Math
For college mathematics faculty interested in incorporating environmentally-based applications into first and second year mathematics courses and for mathematics education faculty who will integrate the material and methodology into their institution's programs.
Active Learning Approaches to Teaching Mathematics Content Courses for Elementary and Middle-School Teachers
For collegiate mathematics faculty and advanced graduate students seeking to improve their proficiency in teaching K-8 mathematics education courses. Participants experience hands-on, lively lessons, view video vignettes, and receive sample course materials from Western Oregon University's successful program for pre-service K-8 teachers.
Abstract Algebra with GAP
2003 - 04
Provides participants with resources, teaching materials, and knowledge they need to teach a course in abstract algebra which uses GAP exercises and projects. Previous experience with GAP software is not necessary for successful participation.

Teaching Future High School and Middle School Teachers

This workshop is designed to enhance participants' effectiveness in teaching undergraduate students who plan to teach mathematics in High school and/or Middle school. It will include explorations of collegiate level mathematics content and pedagogy as it relates to High School and Middle School, model classes for future teachers, discussions with current teachers, and interactions with High School and Middle School students.

Mathematical Methods and Modeling for Secondary Mathematics Teacher Education

Hands-on workshop designed for those teaching mathematics methods courses for preservice and inservice secondary school teachers.

Using Hands-on Devices to Understand Calculus

Examine a variety of hands-on devices used in teaching calculus along with written materials. Learn how such devices shift the way we understand calculus through group activities.

In Search of Newton

Learn how the integration of calculus and physics curricula can benefit your teaching, using studio format: journals, active learning, group learning, and projects. Solve real-world calculus/physics problems and design a mini-project over the course of four days.

The Mathematical Preparation of Elementary School Teachers

Designed for mathematics faculty teaching prospective elementary school teachers. This five-day course covers mathematics content and methods of instruction applicable to the elementary audience.

Viewpoints: Mathematics and Art

Explore the connections between art and mathematics in an informal and collaborative environment. Enjoy hands-on activities and receive materials to use collectively in a semester-long course or independently to enhance and enliven a wide range of courses.

Teaching Undergraduate Geometry

Are you currently teaching or preparing to teach undergraduate geometry courses? Expand your content knowledge of the integration of geometries on plane, sphere and other surfaces through student investigations, small group learning and writing assignments.

Teaching a Student-Active Data-Driven Introductory Statistics Course

Prepare your introductory statistics course incorporating the ASA-MAA recommendations, by using the web as a teaching and resource tool. Faculty from two-year institutions are especially encouraged to apply.

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