Ebook: New Directions in Two-Year College Mathematics: Proceedings of the Sloan Foundation Conference on Two-Year College Mathematics, held July 11–14 at Menlo College in Atherton, California
- Tags: Mathematics general
- Year: 1985
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
by Donald J. Albers ix INTRODUCTION In July of 1984 the first national conference on mathematics education in two-year colleges was held at Menlo College. The conference was funded by the Alfred P. Sloan Foundation. Two-year colleges account for more than one-third of all undergraduate enrollments in mathematics, and more than one-half of all college freshmen are enrolled in two-year colleges. These two facts alone suggest the importance of mathematics education in two-year colleges, particularly to secondary schools, four-year colleges, and universities. For a variety of reasons, four-year colleges and universities are relatively unaware of two-year colleges. Arthur Cohen, who was a participant at the "New Directions" conference warns: "Four-year colleges and universities ignore two-year colleges at their own peril." Ross Taylor, another conference participant, encouraged two-year college faculty to be ever mindful of their main source of students--secondary schools- and to work hard to strengthen their ties with them. There are many other reasons why it was important to examine two-year college mathematics from a national perspective: 1. Over the last quarter century, rio other sector of higher education has grown so rapidly as have two-year colleges. Their enrollments tripled in the 60's, doubled in the 70's, and continue to increase rapidly in the 80's. x 2. Twenty-five years ago, two-year colleges accounted for only one-seventh of all undergraduate mathematics enrollments; today the fraction is more than one-third.
Content:
Front Matter....Pages i-xx
Front Matter....Pages xxi-xxi
Mathematics in Today’s Community College....Pages 1-19
Let’s Keep the “College” in our Community Colleges: Mathematics for College Transfer....Pages 21-29
A New Start for Mathematics Curriculum....Pages 30-39
Mathematics as a Course of Study in Problem Solving—Then and Now....Pages 41-52
Front Matter....Pages 81-81
Technical Mathematics: A Dilemma....Pages 83-100
Occupational Education and Mathematics: Ownership Makes the Difference....Pages 101-117
Technical Mathematics Two-Year College Programs....Pages 119-130
Front Matter....Pages 140-140
Reflections on Basic Mathematics Programs in the Two-Year College....Pages 141-158
Liberal Arts Mathematics— Cornerstone or Dinosaur ?....Pages 159-172
Statistics in the Two-Year College Curriculum....Pages 173-184
Front Matter....Pages 203-203
It’s Going to Happen Anyway......Pages 205-223
Discrete Topics in the Undergraduate Mathematics Curriculum: How Big A Step Should We Take ?....Pages 225-241
Calculators Do More Than Compute....Pages 243-254
The Lessons of Williamstown....Pages 255-270
Style Versus Content: Forces Shaping the Evolution of Textbooks....Pages 271-287
Front Matter....Pages 310-310
Research in the Learning of Mathematics: Some Genuinely New Directions....Pages 311-340
Knowledge Transmission and Acquisition: Cognitive and Affective Considerations....Pages 341-365
Front Matter....Pages 379-379
Relevancy and Revitalization: Retaining Quality and Vitality in Two-Year College Mathematics Faculty....Pages 381-392
The Academic Training of Two-Year College Mathematics Faculty....Pages 393-403
Current Continuing Education Needs of Two-Year College Faculty Must Be Met !....Pages 405-422
Front Matter....Pages 437-437
Coordinating Curriculum in Two-Year Colleges with Baccalaureate Institutions....Pages 439-453
Some Reflections on the Interaction of Mathematics Programs at Two-and Four-Year Colleges....Pages 455-466
Mathematics Programs in High Schools and Two-Year Colleges....Pages 467-479
Back Matter....Pages 489-491
Content:
Front Matter....Pages i-xx
Front Matter....Pages xxi-xxi
Mathematics in Today’s Community College....Pages 1-19
Let’s Keep the “College” in our Community Colleges: Mathematics for College Transfer....Pages 21-29
A New Start for Mathematics Curriculum....Pages 30-39
Mathematics as a Course of Study in Problem Solving—Then and Now....Pages 41-52
Front Matter....Pages 81-81
Technical Mathematics: A Dilemma....Pages 83-100
Occupational Education and Mathematics: Ownership Makes the Difference....Pages 101-117
Technical Mathematics Two-Year College Programs....Pages 119-130
Front Matter....Pages 140-140
Reflections on Basic Mathematics Programs in the Two-Year College....Pages 141-158
Liberal Arts Mathematics— Cornerstone or Dinosaur ?....Pages 159-172
Statistics in the Two-Year College Curriculum....Pages 173-184
Front Matter....Pages 203-203
It’s Going to Happen Anyway......Pages 205-223
Discrete Topics in the Undergraduate Mathematics Curriculum: How Big A Step Should We Take ?....Pages 225-241
Calculators Do More Than Compute....Pages 243-254
The Lessons of Williamstown....Pages 255-270
Style Versus Content: Forces Shaping the Evolution of Textbooks....Pages 271-287
Front Matter....Pages 310-310
Research in the Learning of Mathematics: Some Genuinely New Directions....Pages 311-340
Knowledge Transmission and Acquisition: Cognitive and Affective Considerations....Pages 341-365
Front Matter....Pages 379-379
Relevancy and Revitalization: Retaining Quality and Vitality in Two-Year College Mathematics Faculty....Pages 381-392
The Academic Training of Two-Year College Mathematics Faculty....Pages 393-403
Current Continuing Education Needs of Two-Year College Faculty Must Be Met !....Pages 405-422
Front Matter....Pages 437-437
Coordinating Curriculum in Two-Year Colleges with Baccalaureate Institutions....Pages 439-453
Some Reflections on the Interaction of Mathematics Programs at Two-and Four-Year Colleges....Pages 455-466
Mathematics Programs in High Schools and Two-Year Colleges....Pages 467-479
Back Matter....Pages 489-491
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