Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

Describes the "Two-Eight" instructional model for students who have arithmetic computational skills but lack the ability to select appropriate strategies to solve problems. Offers examples showing the replacement of the actual values used in a word problem with the simple numeric values of 2 and 8 to create a parallel, solvable problem. (DMM)

This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and…

Strategies for teaching general mathematics effectively are discussed. Stressed are the use of calculators for arithmetic, individualized instruction, and teaching mathematics in context. Applications to vocational education are described. (CW)

Discusses how grocery shopping activities can help primary and intermediate grade students develop mathematics skills useful in real life. (BB)

Described is an approach to teaching algebra in a meaningful context by using problem solving to motivate students and increase their retention. Examples of this approach are given. (CW)

This document builds on the foundation laid by the 1985 edition of the "Mathematics Framework for California Public Schools" to describe the structure and organization of instructional programs that address the goal of developing mathematical power for all students. An introduction discusses the nature of the proposed reform and the…

This guide, prepared under the direction of the Instructional Affairs Committee of the National Council of Teachers of Mathematics (NCTM), is designed to serve all educators interested in the instructional applications of computers. Its development has been marked by a continuous, conscious effort to address the needs of all educators irrespective…

Discusses approaches to teaching mathematical problem solving in the context of number, including encouraging children to write number stories to consolidate their conceptual understanding and technical competence. The use of computers to explore mathematical concepts is discussed, and examples of how number squares can be used are provided. (CR)

Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

This document was developed out of a need for a complete, carefully designed set of evaluation instruments and procedures that might be applied in metric inservice programs across the nation. Components of this package were prepared in such a way as to permit local adaptation to the evaluation of a broad spectrum of metric education activities.…

Described is a theorem which is generally not present in most high school geometry textbooks. Presented are two proofs and two cases which illustrate the use of the SSA theorem. (CW)

Based on research and teacher experience, this resource guide contains teaching methods and activities that teachers can use in teaching mathematics to adult basic education and General Educational Development students. The following eight sections are included: (1) an alternative method for teaching percents; (2) unit conversion or dimensional…

The product of a project conducted in Massachusetts to apply the National Council of Teachers of Mathematics' (NCTM) "Curriculum and Evaluation Standards for School Mathematics" to adult basic education (ABE) learning environments, this volume is a collection of teacher-researchers' essays on field-based application of the adapted…

This document is the outcome of a project conducted in Massachusetts to apply the National Council of Teachers of Mathematics' (NCTM) "Curriculum and Evaluation Standards for School Mathematics" to adult basic education (ABE) learning environments. The first chapter describes the work of the Math Team, a committee of 22 adult basic…