This research is part of the London-based Concepts in Secondary Mathematics and Science Project. It is derived from developmental psychology, with particular emphasis on the implications of the results to the teaching of mathematics in secondary schools. A basic premise is that if one first identifies the child's present level of understanding of…

A course is described which was designed to: (1) teach correct use of the calculator; (2) teach appropriate techniques for solving arithmetic problems using the calculator; and (3) develop number sense in students through teaching of appropriate facts, concepts, and techniques to be carried out mentally without the calculator. (Number sense starts…

In this statement the Instructional Affairs Committee of the National Council of Teachers of Mathematics identifies and justifies nine key uses of the hand-held calculator in the mathematics classroom. Examples of each use are provided. This article also appears as SE 515 578. (SD)

This article focuses on three key factors that a survey of literature indicated impact the teaching and learning of mathematics with graphing calculators: access to graphing calculators, the place of graphing calculators in the mathematics curriculum, and the connection between graphing calculators and pedagogical practice. Access to graphing…

Behaviors of one low and one high ability group were analyzed in three classroom situations. The teacher's effect on discipline of the former was pronounced, and observers felt this group learned only in the science classroom; the high ability group experienced less variation. Results on other variables are reported. (SD)

This study investigated the development of abstract mathematical thought and spatial relations of 13- and 14-year-old students who attended public schools in Australia, Japan, and the United States. Dependent variables included age, ability grouping, ethnicity, sex, mathematics attitudes, and mathematics classroom behaviors. Significant…

Raising the level of academic achievement of all students in New Jersey has been a major goal since 1982. As a part of that effort, the focus has changed from the low expectations of the Minimum Basic Skills program to the more rigorous demands of the High School Proficiency Test. This report includes background information on the effort to…

This report compares the Oregon Mathematics Comprehension Curriculum Goals (CCG) with the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics. After discussing the philosophical positions of the two documents, three sections comparing the two by level are presented. Each standard from the…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Characteristics of Algebra I Students"; (2) "Student Performance on the Core Test"; (3) "Combining Performance and Participation:…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Characteristics of Algebra II Students"; (2) "Student Performance on the Core Test"; (3) "Combining Performance and Participation:…

The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Geometry End-of-Course Test"; (2) "Scoring Geometry Proofs"; (3) "Characteristics of Geometry Students"; (4) "Student…

Technological advances during the past few decades have revolutionized many complex systems that influence human activity. As the rate of technological progress accelerates, these systems will become more complex, and new ones will evolve. Citizens in a technological society need to be able to make intelligent choices about how technology will…

This document consists of three issues of the journal "Seedbed," an outcome of the Teachers' Center Project at Southern Illinois University at Edwardsville (SIUE). Issue Number 29 contains 67 articles on teachers' ideas that they thought worth sharing with other teachers. Issue Number 30 consists of a single paper, "Children and…

This Note describes several versions of an intelligent tutor for basic algebra that have been developed at the RAND Corporation. The versions of the tutor were built around several core components, including an algebra expert system and a student modeling component that can make inferences about misconceptions underlying students' errors. The…

The National Council of Teachers of Mathematics has stated that computer technology is an important factor in the improvement of mathematics instruction and an important tool in mathematics instruction. Computer spreadsheets are readily adaptable for problem solving, can enhance the user's insight into the development and use of algorithms and…