This guide is primarily designed to help those who are concerned with improving mathematics education in Georgia schools. The format is intended to make planning a new mathematics curriculum easier at the local level and still leave designers free to develop courses which are best suited for their students. In addition to presenting an outline…

The Concepts in Secondary Mathematics and Science (CSMS) and Strategies and Errors in Secondary Mathematics (SESM) research projects based at Chelsa College, England, have shown the marked reluctance of secondary school students to use fractions when solving mathematical problems, even though they have been taught the topic for a number of years.…

This paper describes curriculum content in two areas--mathematics and international studies--in the secondary schools of Canada, Japan, West Germany, the USSR, and the United States. Relevant background on teacher preparation and on the structure and organization of secondary schooling in each country is introduced to provide a context for the…

Conceptually, the laboratory approach is based on Maria Montessori's and Jean Piaget's theories that students learn through becoming involved and experiencing mathematics. Teaching them means creating situations where structures can be discovered and where students can verify and relate ideas to objects. Following a discussion of definitions and…

Previous studies were conducted with 14- to 15-year-old students on the nature of the processes they used to solve tasks given the incorrect/buggy/mal-rules. The computer-based Leeds Modelling System (LMS) was implemented and a database of examples, correct and incorrect, or mal-rules had been established which was sufficient to diagnose the…

The National Council of Teachers of Mathematics and the Center for Mathematics Education of the University of Maryland sponsored a conference to consider the impact of computing on school mathematics. Participants (including mathematics teacher educators, mathematicians, computer scientists, elementary and secondary mathematics teachers, and…

The emphasis of the activities presented in this monograph is on the mathematics done by students in grades 7 through 12 with the aid of microcomputers. The computer is used as an aid, to calculate, to motivate, to handle information, or to display data. The vital part of each activity is not the computer program listing, but the results of the…

Empirical findings concerning the consequences of curriculum tracking are presented. The relationship of curriculum tracking to changes in cognitive performance over a 2-year period among 3932 high school students is examined, using multiple regression analysis. The results show that curriculum placement is related to courses taken, and through…

This study examined the value of the computer as an instructional tool in secondary school mathematics (grades 7-12) classrooms. The literature on the subject was reviewed and an annotated bibliography prepared with entries grouped according to effects on: (1) student achievement; (2) student attitudes; (3) teacher attitudes; (4) student learning…

Collected in this document are papers presented at a conference on designing a mathematics methods course for secondary school teachers. Papers are organized under the following categories: (1) Realistic goals for a methods course, (2) Minimal content for a methods course, and (3) Teaching strategies used in methods courses. The seven short papers…

Observation of patterns constructed on geoboards can lead to discussions of properties of primes, number sequences, and complex numbers. (SD)

Five open-ended problems are suggested which lead students to investigate basic number properties and numeration characteristics. (JP)

Data from the pilot use of a mathematical applications in science course for secondary-school pupils are presented. The course was offered in a variety of ways. Among these were: 1) as a one-semester elective course to sophomores who were planning to study chemistry; 2) as part of a physical science course for low achievers; 3) as part of a…

Presented is a graphical approach to teaching higher degree, rational function, and absolute value inequalities that simplifies the solution of these inequalities and thereby reduces the amount of classroom time that has to be devoted to this topic. Applications are also given for signum functions, maximum-minimum, and points of inflection…

This study explored the variance in mathematical problem-solving achievement accounted for by sex and ethnicity. Each of 316 adolescents in a rural school district in southeast Texas was administered the California Achievement Test and a set of five affective scales. Reading scores accounted for 49.5% of the variance; computation, 14.6%; affective…