The basic problem which motivated this study is that the present universal support given the teaching of mathematics has led to a neglect of the justification question. That is, we are sometimes careless in presenting rationales for teaching mathematics and do not adequately consider the consequences of invoking particular rationales. The major…

This study makes available the findings of the research in the teaching of mathematics reported to the U.S. Office of Education during the calendar years 1959 and 1960. To secure the data for this study the U.S. Office of Education, with the aid of the Research Committee of the National Council of Teachers of Mathematics, sent a questionnaire to…

The improvement of teaching in mathematics, as in other subjects, depends to a large degree on the extent to which research conclusions find their way into the classroom. The purpose of this study is to help report and disseminate the findings in the research on mathematics teaching completed during the 2 years of 1955 and 1956. A Summary of…

Among teachers of mathematics throughout the world there has recently been manifested a notable increase of interest in all educational work. This interest is due in part to the present general agitation in every educational line, in part to the influence of such related departments as physics, in part to the increased demands of industry, and in…

The increased competition in technical advancement has made the need for high quality scientists, engineers, and technicians stand out in bold relief. Better instruction in mathematics in our public schools can make a contribution to the quality of our scientific personnel. If research findings are implemented in the classroom they likewise can…

The National Council of Teachers of Mathematics (NCTM) has published this updated edition in response to a continuing demand for historical materials to be used in teaching mathematics. This publication was originally issued in 1969 as the "Thirty-first Yearbook." Its primary objective is to make available to mathematics classes important material…

This textbook covers the subject of vocational mathematics. This course may take the place of the first year algebra and the first year geometry in vocational classes in which it is not desirable to give the traditional course in algebra and geometry. This book may be used by the regular teacher in mathematics and by the shop teacher. It can be…

Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

The purpose of high-school education has generally been twofold--not only to furnish preparation for college, but also to provide some of the elements of a liberal education for those whose formal and directed study is to go no further. In not a few communities high schools were established in which the former purpose was expressly waived; but…

To help State Supervisors of Mathematics develop constructive leadership programs suitable for immediate adoption, under varying State and local conditions, the U.S. Office of Education sponsored a National Conference of State Supervisors of Mathematics at Washington, D.C., from June 19 to 23, 1961. The Conference had four main objectives: (1) To…

In the following general report the aim is to present a concise view of the organization, methods, and problems of the teaching of mathematics in the United States, touching particularly upon the larger questions that seem to merit especial emphasis, and referring to the special reports for details with respect lo the various types of schools. The…

The most striking characteristic of technological as of other forms of education in the United States from the international standpoint is doubtless its extreme range of variation and the impossibility of framing general statements and definitions which shall be free from numerous exceptions. For the purposes of the present report a technological…

The National Committee on Mathematical Requirements was organized in the late summer of 1916 under the auspices of the Mathematical Association of America for the purpose of giving national expression to the movement for reform in the teaching of mathematics, which had gained considerable headway in various parts of the country, but which lacked…

The Cooperative Committee on the Teaching of Science and Mathematics of the American Association for the Advancement of Science that participated in planning for and publishing this bulletin is composed of representatives of seventeen national scientific and mathematical societies including representatives from the associated teaching…

The object of this report is to give an account, in such a form as to allow comparisons, of the instruction in mathematics in the Lower and Middle Commercial and Industrial Schools in the countries reporting to the International Commission on the Teaching of Mathematics. The data of this report have been taken entirely from the reports of the…