The current work is the first article in a two-paper series exploring the role of explicit learning objectives in undergraduate mathematics instruction. A definition of student-learning objective (SLO) is introduced. We give examples of SLOs for topics from introductory college and university mathematics courses. We list potential advantages of a…

This handbook was developed as one of the objectives of a 3-year federally-funded model project to teach remedial mathematics to community college students with learning disabilities (LD). The underlying theme of this document is to provide a comprehensive plan to assist faculty, tutors, learning center personnel and others engaged in the effort…

The purpose of this study was to determine if there were differences in math achievement of students taught in an interactive television (ITV) class setting with the instructor present (host site), students receiving instruction via television at an off-campus location (remote site), and students taught in a traditional classroom setting. The…

While written comments are a popular and potentially effective method of student exam feedback, these comments are often overshadowed by students' focus on their grades. In this paper I discuss the additional use of orally recorded exam feedback in introductory statistics classes of 40 or fewer students. While grading and writing comments on a…

On her death in 1910, Florence Nightingale left a vast collection of reports, letters, notes and other written material. There are numerous publications that make use of this material, often highlighting Florence's attitude to a particular issue. In this paper we gather a set of quotations and construct a dialogue with Florence Nightingale on the…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1986 yearbook contains 17 articles related…

Our initial intention was to set out to explore the potential for implementing outcome-based assessment practices in a first year statistics unit. It has evolved into a search for a pedagogy enabling clear definition of the desired learning outcomes in our students, and alignment of instruction, student resources and assessment with these…

The primary purpose of "National CrossTalk" is to stimulate informed discussion and debate of higher education issues. This issue contains the following articles: (1) A Legacy to Overcome: The University of Georgia Hopes to Become a More Desirable Destination for Black Students (Don Campbell); (2) Oklahoma's Brain Gain: A Comprehensive…

The Department of Mathematics at Iowa State University teaches a freshman-level Discrete Mathematics course with total enrollment of about 1,800 students per year. The traditional format includes large lectures, with about 150 students each, taught by faculty and temporary instructors in two class sessions per week and recitation sections, with…

A discussion of mathematics curriculum and teaching methods based on the standards issued by the National Council of Teachers of Mathematics (NCTM) and National Council of Supervisors of Mathematics (NCSM) is presented. The standards emphasize the connectedness of each of the branches of mathematics and underline the relationship of each branch to…

Remedial mathematics has taken several forms over the years--across the nation, within departments, and among mathematics instructors. There is a growing debate over the effectiveness of remedial courses in relationship to eventual student matriculation, which increases institution funding. The use of technology, real-life problems and projects,…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…

In this paper we analyze the reasons why the teaching of probability is difficult for mathematics teachers, describe the contents needed in the didactical preparation of teachers to teach probability and analyze some examples of activities to carry out this training. These activities take into account the experience at the University of Granada,…

The teaching of mathematics from a multicultural perspective is discussed. The first two chapters present a rationale for a multicultural approach to teaching mathematics. The third chapter aims to show, through brief examples, how such an approach can be applied to any school curriculum. The remaining four chapters discuss, in greater detail,…

This volume examines the teaching of statistics in the whole range of education, but concentrates on primary and secondary schools. It is based upon selected topics from the Second International Congress on Teaching Statistics (ICOTS 2), convened in Canada in August 1986. The contents of this volume divide broadly into four parts: statistics in…