The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

In California, the typical college-prep course sequence in math includes Algebra I, Geometry, and Algebra II. Students advance through these courses at different rates. A number of students proceed at a quick pace, with some completing Algebra II by the end of 10th grade and a few even earlier. At the other end of the spectrum, some students…

This report presents results of the 2009 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. The results from the 2009 assessment presented in this report are compared to those from previous years, showing how students' performance in mathematics has progressed over time. Results for students in the nation, the 50…

This course of study guide is designed to help teachers establish a continuity within the scope and sequence of their elementary school mathematics curriculum and to assist those teachers in formulating some realistic goals for themselves and their students. Part I contains an introduction and statement of philosophy. Part II contains course…

This is the final report of a year-long research project on the implementation of a guided inquiry approach using the Geometric Supposer, a microcomputer software series, to teach high school geometry in three Boston area suburbs during the 1985-1986 school year. The project assessed student learning and examined the many and varied issues…

This paper is an attempt to draw on the thinking of a group of secondary school geometry teachers who are participants in the Laboratory Sites Study of the Educational Technology Center (ETC) at Harvard University. The purpose of the Lab Sites Study is to understand the process of implementing technology-enhanced guided exploration in school…

This is the fifth volume in a series designed to improve mathematics instruction by providing resource materials for those responsible for mathematics teaching. Focused on geometry in schools, it presents a panorama of current practices around the world and suggests future trends. The 14 chapters consider: "Developments in Geometry Teaching in…

Argues that reasons for teaching geometry before second-year algebra include higher student achievement and attitude and better abstract thinking. (PK)

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…

Presented is the development of school geometry in contemporary Greece since the era in which the secondary education system was established (1836). Identified and interpreted are the reasons for the endurance of Euclid's Elements as the basic component of school geometry in Greece. (KR)

The 13 leading mathematics educators who made up the task force that prepared this report were thoroughly acquainted with every major report on math education produced within the last decade. They were also thoroughly acquainted with the realities of instruction in the K-12 classrooms. Their aim, therefore, was to make appropriate compromises…

As part of the TV Ontario Telidon and Education Field Trials, a study was made of the application of the Telidon videotex systems to computer-assisted learning (CAL), including the future directions of these applications and differences in achievement between advanced and general-level students. Subjects were 129 middle- to upper-middle,…

The standards for accreditation of public schools, adopted by the Arkansas State Board of Education, required the development of these course content guides. The standards also required that essential skills be identified for each course taught in the public schools of Arkansas. Committees of classroom teachers, curriculum specialists, principals,…

Compared is the use of Euclidean and synthetic geometry in American and European schools. Included is the history of the major developments in the teaching of geometry. Discussed is the demise of formal geometry since World War II. (KR)