This report provides an evaluation of the Chapter I mathematics program for 1,020 first through eighth grade students in the Des Moines Independent Community School District. Included is a description of the program, information on program budget and expenditures, and narrative accounts of the attainment of 17 performance and process objectives.…

This is the final test for students in the twelfth-grade course Mathematics 30, offered in schools in Alberta, Canada. Intended for administration in June 1986, it is available in both English and French. It contains 52 multiple-choice questions and five written-response problems, with two-and-one-half hours allowed for completion. Approved…

The purpose of this teaching unit is to approach elementary probability problems in three ways. First, actual trials are performed and results are recorded. Second, a simple computer simulation of the problem provided on diskette and written for Apple IIe and IIc computers, is run several times. Finally, the mathematical solution of the problem is…

This document contains detailed directions for constructing a device that mechanically produces the three-dimensional shape resulting from the rotation of any algebraic line or curve around either axis on the coordinate plant. The device was developed in response to student difficulty in visualizing, and thus grasping the mathematical principles…

This is the final report of a year-long research project on the implementation of a guided inquiry approach using the Geometric Supposer, a microcomputer software series, to teach high school geometry in three Boston area suburbs during the 1985-1986 school year. The project assessed student learning and examined the many and varied issues…

Although it is difficult to predict which mathematical ideas will be most important to the citizens of the 21st century, most mathematics educators agree that problem solving will become an even more important skill. This booklet is designed to provide teachers with ideas on helping students learn to: (1) use problem solving thinking skills; (2)…

Described is the notion of multiple alternative representations of mathematical reasoning, particularly as they relate to algebraic notation and the potential of computers to change representations. Features of a desirable notation for algebraic problem solving are described. This is followed by a description of the RAND Corporation's intelligent…

After an introduction including a brief history of measurement, conversion of units within the customary system, within the metric system, and from customary to metric and vice versa are discussed. A fraction/multiplication system is introduced to teach correct alignment of units of measurement and to direct proper multiplication and division of…

This booklet presents descriptions of adult education programs on basic skills in mathematics that have been validated as successful by the National Diffusion Network. These projects have been developed by individual school districts throughout the nation in response to their local needs and are being promoted by the National Diffusion Network…

Several ideas for implementing writing in the content areas are presented. The ideas, which were submitted by teachers and students, include: (1) a class called "Thinking-Writing" which uses freewriting, clustering, and written dialogue with an imaginary tutee; (2) a testimonial on the importance of knowing how to write in adult life;…

Reviewing current conditions and projecting future directions, this paper explores trends in high school mathematics and discusses their implications for two-year college education. The first section examines the secondary school mathematics program, indicating that until now this two-track curriculum has focused on precalculus mathematics for…

This paper provides principles which can be used to mark mathematics papers in secondary schools. Sections included are: (1) "Drafting the Marking Scheme" (describing 15 general considerations); (2) "Calculations" (listing 16 grading principles on computation papers); (3) "Graphs" (providing four guidelines on graph papers); (4) "Constructions"…

This survey reflects new developments in the mathematics curriculum as emphasized in the curriculum frameworks and state-adopted textbooks. The first section describes the procedure for the development of the survey and the rationale for the topics and types of questions included on the mathematics portion of the test. The second section describes…

The purpose of this study is to contribute to an understanding of how errors could be employed in mathematics instruction so that the students use them constructively in support of their learning of mathematics. A teaching experiment was designed to create an ideal context in which the pedagogical approach to errors as springboards could be…

The Science/Math Education Project of the Federal City Council and the District of Columbia Public Schools began as an experiment to determine whether scientists, mathematicians, and engineers could be recruited from their daily professional responsibilities to serve as volunteer tutors, lecturers, or mentors to students in the public elementary…