The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the second-year course, designed for 10th grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 61 lessons in this…

This book contains three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available math…

This learning module provides students with practice in applying geometric operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics program. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

This report provides perspectives from the literature and from consultation with LOGO experts for viewing, evaluating, formalizing, and improving use of the LOGO programming language in education. Contents of the report include: a discussion of the instructional structure of LOGO which centers around its turtle mode, list processing nature, and…

The general nature of collaborative work among peers in classrooms is discussed. This framework is applied to the interpretation of a 2-year study which examined how pairs of children in two classrooms (8- and 9-year-olds; 11- and 12-year-olds) worked together to solve computer programming problems in the LOGO language. It was found that students…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

This report examines and summarizes the needs in mathematics of the Fresno City school system. The study is one in a series of needs assessment reports for PROJECT DESIGN, an ESEA Title III project administered by the Fresno City Unified School District. Theoretical concepts, rather than computational drill, would be emphasized in the proposed…

The process of forming operator schemata was studied in three experiments. In each experiment a greater amount of predictive information in a stimulus item increased the chance of selecting the operator accurately.

The second volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) "What you see is what you get: The influence of visualization on the perception of data structures" (Dan Aharoni); (2) "Exploring the transparency of graphs and graphing"…

The third volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) "Mathematics classrooms functioning as communities of inquiry: Possibilities and constraints for changing practice" (Susie Groves, Brian Doig, and Laurance Splitter); (2)…

Presents an extended activity consisting of a sequence of tasks organized so that students can visit several mathematical concepts concurrently and explore connections among them. Students build solids using bendable straws to form the skeletons of various polyhedra. Topics covered include tables and charts, algebraic expressions, surface area,…

Investigates gender differences and the role of spatial visualization in problem solving in high school geometry. Reports that, whereas males and females differed in spatial visualization and in their performance, they did not differ in logical reasoning ability or in their use of geometric problem-solving strategies. (Author)