MATH 115.  Introduction to Mathematical Modeling

A Course Developed by
Don C. Cathcart and Tom O. Horseman
Department of Mathematics & Computer Science
Salisbury State University Salisbury, Maryland 21801

Abstract:

This is a freshman/sophomore level course on mathematical models and modeling for for students interested in developing an ability to use mathematics in solving problems in other disciplines.  Originally designed for prospective middle school teachers of mathematics or science, the course is focuses on problem solving processes used in mathematics and science, and uses perspectives, knowledge, data-gathering skills, and technological skills relevant to those disciplines. Few new mathematical concepts are introduced to those who have taken the course prerequisites. It is intended that students use whatever mathematics they currently know (Algebra I and Algebra II) in addressing the problems and defending or criticizing their conclusions.

The course was originally developed under the auspices of the Maryland Collaborative for Teacher Preparation (MCTP). The MCTP prescribed that instruction in mathematics and science be integrated using a constructivist, activity-based approach. The MCTP also prescribed that students use technological tools such as calculators, computers, and microcomputer-base laboratories (MBL's). Accordingly, students in this course use those tools in collecting their own data, generating graphs, and analyzing their results. Working together, students are encouraged to construct physical concepts from their observations and make connections between science and other disciplines and mathematics.

Activities focus on helping students (a) see connections between mathematics and other disciplines, (b) represent and analyze real-world phenomena using a variety of mathematical representations, (c) develop techniques and strategies for applying mathematics to solve problems, (d) explain and justify their reasoning, using appropriate terminology, in both oral and written expression.

Beginning with the Spring 2003 semester, in additon to the notes and activities prepared by Cathcart and Horseman, we will utilize a fine text by Dan Kalman titled "Elementary Mathematical Models" and published by The Mathematical Association of America.

Read the message "To the Student."
View the course syllabus for Spring 2004.
View the course syllabus for Fall 2004.
View  "Some Modeling Course Objectives."
View the instructors' policies.
View the "Guidelines for Written Work."
View the Spring 2004 assignments for the course.
View Don Cathcart's home page.
View the links for this course.


NSF Cooperative Agreement No. DUE9255745,©