This article explores secondary teachers' opportunities to learn from an innovative real analysis course, as reflected in their actual classroom teaching. The course used cases of teaching as a site for applying mathematics and developing pedagogical mathematical practices. This article explores particular teaching moments in (N = 6) secondary…

Curriculum standards provide classroom teachers with frameworks to guide instruction during the academic year and throughout a student's schooling. Unfortunately, standards are misconstrued as all-encompassing--as a compendium of all mathematics content that can and should be taught to students. Such a view is unfortunate. Mathematics teachers…

An overview is provided of the current status of technical and vocational mathematics in the two-year college. Section I traces the development of technical math courses and discusses their function in the two-year college curriculum. Section II examines the use of applied math problems appropriate to particular vocational programs as an aid in…

Addressing the problem of providing an appropriate mathematics education for vocational/technical students, this paper proposes the development of a technical mathematics sequence through the cooperative input of both math and technical faculty. First, introductory material discusses the liberal arts bias and lack of technical knowledge of typical…

This Texas Tech University computer literacy course designed for preservice elementary and middle school mathematics teachers lacking a technological orientation facilitates their computer introduction through preliminary use of calculators. Course development, philosophy, and course segments are outlined with emphasis on the sequence in which…

At Raritan Valley Community College (RVCC) in New Jersey, an honors philosophy course was developed which taught mathematics and science concepts independent of computational skill. The course required that students complete a weekly writing assignment designed as a continuous refinement of logical reasoning development. This refinement was…

Developed to provide assistance and support to local schools that want to improve their secondary mathematics programs, this guide provides an updated view of what North Dakota educators feel is necessary in a secondary mathematics curriculum. An overview of perceived statewide mathematics objectives and a review of national perspectives on…

The purpose of this guide is to provide a resource for teacher use in computer mathematics instruction. Although it is not intended to be used as a textbook or a complete course syllabus, the guide does include a set of student objectives which are designed to define the content of a 1-year course in computer mathematics. The major focus of the…

Developed by a statewide committee of educators in the field of mathematics, this framework is designed to serve as a basic tool for curriculum development and implementation in Tennessee high schools. Each local school system is required to implement this framework beginning with the 1988-89 school year. The document contains goals and terminal…

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…