The Colorado Model Content Standards for Mathematics were designed to serve as a guide for school districts as they define standards that will enable every Colorado student to develop the mathematical literacy needed for citizenship and employment in the 21st century. A new vision is provided of the content students should study in order to…

Hawaiian and part-Hawaiian children in kindergarten through grade 3 were administered the Metropolitan Mathematics Instructional Test to determine their achievement level in mathematics and areas of particular strength and weakness. Only the first grade exceeded the national norms. However, the kindergarten had covered only 21% of the test topics,…

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

Two experiments investigated children's strategies for solving geometric matrices that were correctly or incorrectly completed and that varied in number of elements and number of transformations. Examining the relationship between working memory and item complexity, the first experiment tested 90 boys and girls of 7, 10, and 13 years of age for…

Abstracts of 28 research reports are provided. The reports were prepared by investigators for presentation at the 56th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Ten reports deal with problem solving, four are concerned with instructional methods, three…

This guide is for the use of teachers in the primary grades and is organized around six concepts: sets, numbers and numeration; operations, their properties and number theory; relations and functions; geometry; measurement; and probability and statistics. Objectives and sample activities are presented for each concept. Separate sections deal with…

This collection of reprints from the IDEAS section of the "Arithmetic Teacher," has been selected from those activities appropriate for students in grades 4 through 8. The selections have been reprinted just as they originally appeared in the journal. The ideas are grouped under the headings computation, fractions, problem solving, geometry, and…

In an attempt to prepare students for units analysis in the solution of problems in high school chemistry and physics, the author developed learning packets on the factor label method. Thirty-three students used these packets individually during a regular tenth-grade geometry class. There were two packets, each to be used for two days. Prior to…

A criterion-referenced test battery was devised for use with the mathematics program of the Mamaroneck Public Schools (New York) in 1971. After two annual administrations, the tests were revised in four ways. The format was changed, and the number of items dealing with geometry was increased; some items were revised to conform better with the…

Given are activities involving the use of triangles and triangle paper, in the form of problems that require searching for different possibilities to fit a given condition. (MP)

Describes group sessions in which children constructed frameworks from cardboard strips and paper fasteners and used these to develop geometric concepts. Numerous illustrations are included. (MA)

Reviews methods of determining apparent dip and highlights the use of a device which consists of a nomogram printed on a protractor. Explains how the apparent-dip calculator-protractor can be constructed and outlines the steps for its operation. (ML)

Presented are geometry activities which require only colored construction paper cut into simple shapes, paste or glue, and large sheets of newsprint or art paper on which to paste designs. The activities, which may be done alone or in groups, are varied in content and difficulty. (JN)

The Nevada Mathematics Standards provide the framework for a comprehensive K-12 mathematics program and guide curriculum, instruction, and assessment as well as other policies and practices that affect student learning. The standards are intended to serve as a foundation for teachers and curriculum specialists as they create curriculum and adopt…

Although proof and reasoning are seen as fundamental components of learning mathematics, research shows that many students continue to struggle with geometric proofs. In order to relate pedagogical methods to students' understanding of geometric proof, this 3-year project focuses on 2 components of student understanding of proof, namely, students'…