The Board on Science Education and the Board on Mathematical Sciences and Analytics of the National Academies of Sciences, Engineering, and Medicine convened the Workshop on Increasing Student Success in Developmental Mathematics on March 18-19, 2019. The Workshop explored how to best support all students in postsecondary mathematics, with…

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

Curriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they…

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

This monograph addresses the current needs for science education at all levels of higher education. It proceeds from assumptions that the national debate for scientific understanding matters. It explores science in society and strategies for curricular integration in honors. The hope is that this monograph will further the discussion of science…

This textbook is one of a series of publications designed to provide information needed by Navy personnel whose duties require an elementary and general knowledge of the fundamental concepts of number systems, logic circuits, and Boolean algebra. Topic 1, Number Systems, describes the radix; the positional notation; the decimal, binary, octal, and…

This book contains papers that identify and clarify techniques and pedagogical approaches for using the history of mathematics in teaching. The chapters are separated into two sections, one containing 8 chapters about secondary school mathematics and the other containing 15 chapters on higher mathematics. The first section discusses topics such as…

This document contains nine research papers presented at the Joint Special Session on Research in Undergraduate Mathematics Education at the annual meeting of the American Mathematical Society and the Mathematical Association of America (San Francisco, California, January 1991). Paper titles are: "The Teaching and Learning of College…

This document promotes a better awareness of available technological tools, their implementation, and their advantages and applications in teaching and learning mathematics. Principles for successful implementation are: (1) computation should be an integral part of instruction; (2) software and curriculum development should go hand-in-hand; (3)…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)

This monograph presents 13 papers dealing with various aspects of elementary problem solving. They are: (1) "Training for Effective Problem Solving" (Gary A. Davis); (2) "Patterns of Problem Solving--A Campus-Wide Course at UCLA" (Moshe F. Rubinstein, L. Robin Keller, Edward A. Kazmarek); (3) "A Taxonomy of Problem-Solving Activities and Its…

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…

The Open University of Great Britain is an open-enrollment, home-based institution in which the majority of instruction is conducted via broadcasts and correspondence. As part of an effort to measure the effectiveness of this program, 490 students in a course in mathematical analysis were surveyed to: 1) determine the amount of time students spent…

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,…