This document deals with the observation of students in a direct translation scheme in the solution of word problems in a university freshman-level Intermediate Algebra class. It is felt that since successful problem solvers of algebraic equations often have as much difficulty in solving word problems as do other students in the classes, the…

A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens…

These worksheets suggest activities through which secondary school students may be introduced to the ideas of simulation. All can be played as games to give students a feel for the situation modeled; most use coins or dice and a few use random digits. Directions are detailed for each of the 17 worksheets, with variations suggested for many. (MMS)

Classroom behaviors from the Texas Junior High School Study were related to achievement using both class means and student scores within classes as the units of analysis. Behaviors significantly related to achievement at the class level of analysis were not related to achievement within the class and vice versa. There was no clear pattern of…

Thinking-aloud protocols of human problem solvers working on geometry problems are presented and discussed. Protocols were obtained from six individuals working on nine different problems in which constructions were used. Nineteen protocols are presented with annotation and discussion, and other protocols are summarized. The primary purpose of the…

This guide outlines a one semester Option Y course, which has seven learner objectives. The course is designed to provide students with an introduction to the concerns and methods of statistics, and to equip them to deal with the many statistical matters of importance to society. Topics covered include graphs and charts, collection and…

This teacher's guide is designed to aid in the incorporation of programable calculators in the school mathematics program for pupils in grade 11. Warnings include the need for care in modifying the curriculum so that students are not punished in the process. The concept of "black boxing," of letting the computer or calculator take charge…

This teacher's guide is designed to aid in the incorporation of programable calculators in the school mathematics program for pupils in grade 12. Warnings are given, including the need for care in modifying the curriculum so that students are not punished in the process. The concept of "black boxing," of letting the computer or…

This handbook is designed as a guide for teachers and students in choosing and developing mathematics projects, from simple demonstrations of mathematical problems or principles that the teacher has assigned as classroom learning experiences to complex, sophisticated exhibits, intended for entrance in fairs and competitions. The use of projects to…

This study was conducted to identify: (1) the changes in the learning environment of secondary school science and mathematics from 1972 to 1976; and (2) the effect of subject matter and grade level on the student's perception of the learning environment. The Learning Environment Inventory (LEI) which consists of 10 seven-item scale was…

This is part one of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The six chapters found in part one are: (1) Sets, (2) Numeration, (3) Computation in Bases Other than Ten, (4) Mathematical Systems, (5) Introducing New…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The thrust of this module is to introduce the student to transformations by having the student physically transform sets of points. Heavy use of manipulatives is made to aid the student in the transforming activity. Individual sections…

THIS COMPENDIUM IS ONE OF A SERIES DESCRIBING CONTINUING TITLE I, ELEMENTARY AND SECONDARY EDUCATION ACT (ESEA) PROJECTS FROM DIFFERENT INSTRUCTIONAL AND SERVICE AREAS. PROGRAM DESCRIPTIONS FOR 25 TITLE I, ESEA PROJECTS INVOLVING MATHEMATICS EDUCATION GIVE A RANGE OF COVERAGE IN DIFFERENT INSTRUCTIONAL AND SERVICE DOMAINS, INCLUDING CURRICULUM…

Presented is the product of a curriculum project originated in the Mequon-Theinsville Sex Equity Committee, and focusing on mathematics anxiety and avoidance. The project's two major purposes were to: (1) have the district's mathematics instructors become aware of the problem, its implications, consequences, and suggested intervention strategies;…

Competency testing in New York State began in the nineteenth century, first with a local testing mandate and later with the "preliminary Regents examinations," which were administered at the end of the eighth grade. Optional competency tests were introduced in 1962, and in 1976 the Board of Regents mandated the passing of a series of…