The purpose of this study was to validate the cloze procedure as a measure of the comprehensibility and difficulty of mathematical English. The authors point out that the cloze technique cannot readily be applied to mathematical English as it can to ordinary English since this technique is not defined to include deletions of mathematical symbols,…

This text is an integrated presentation of a second year course in algebra and trigonometry and digital computer modeling techniques using the programming language BASIC. Computer concepts are used directly with the mathematics throughout the text. No attempt is made to develop especially proficient programmers, but rather to present computer…

Reported are the results of a study to determine if there is a difference in learning as measured by an achievement test between high school students who study plane analytic geometric topics via a vector approach and those who study the same topics via a traditional approach. Secondary objectives concerned the transfer to further topics in solid…

The author defines individualization in instruction and suggests possible elements of individualization in mathematics classes. Some described elements include (1) individual responses to common assignments, (2) individual paths to the same objectives, (3) different objectives for different students, (4) different completion times for the same…

This bulletin presents an overview of mathematics education in the sixties, both in the United States and abroad, and suggests similar trends in the seventies. It examines the revolution in mathematics in the past 100 years which led to a unifying reorganization of the subject. Specifically, the authors examine the restructuring of algebra,…

Part 2 of Course I includes a study of set theory, transformations of the plane; properties of lines, planes, line segments and angles; elementary number theory; and rational numbers. Decimal fractions, ratio and proportion, percent, and presenting data using graphs are also presented. (FL)

The procedures and results of a national study to measure the familiarity of 1165 pre-calculus mathematical terms and 154 mathematical symbols are reported. Unique tests of 100 randomly selected mathematical terms as well as unique tests of 36 randomly selected mathematical symbols were generated by a computer. The familiarity of each term was…

The development of educational policy in Russia during the Soviet period, 1917-1930, and the relationship of that policy to Russia's educational heritage was investigated. Analyzed was the extent to which educational policies under the new regime actually succeeded in departing from cultural patterns established in the older society. Since…

This teachers' guide was written to be used in conjunction with the student text, An Experimental Text in Transformational Geometry. The guide is intended to help teachers who have responsibility for teaching the topics Motions and Transformations in the Plane. Each section commences with a general discussion concerning the major ideas which are…

These materials were written with the aim of reflecting the thinking of the Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. This report deals with some seventh grade mathematical concepts taught at Cambridge Friends' School. The discovery approach was utilized by the teacher in order to…

Provided is an introduction to the properties of continued fractions for the intellectually curious high school student. Among the topics included are (1) Expansion of Rational Numbers into Simple Continued Fractions, (2) Convergents, (3) Continued Fractions and Linear Diophantine Equations of the Type am + bn = c, (4) Continued Fractions and…

The purposes of this study were: (1) to compare the effectiveness of two teaching methods having two distinct levels of emphasis on mathematical structure in organizing and presenting the same mathematical content, and (2) to identify the effect of the cognitive ability of reflective intelligence on four cognitive levels of learning a second-order…

This categorized listing is intended to help those who want a ready reference to research reports on mathematics education. Citations are made to over 3000 studies appearing in journals published in the United States, in DISSERTATION ABSTRACTS or DISSERTATION ABSTRACTS INTERNATIONAL, or in RESEARCH IN EDUCATION between 1964 and 1973. Entries are…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

The study compared the responses of fourth- and ninth-grade children between equivalent inference patterns in class logic and conditional logic. A testing instrument of 72 class-logic items and 72 conditional-logic items was constructed for the study. Eighty-one fourth-grade students and 67 ninth-grade students participated. Results showed that…