The principal failure of attempts to reduce illiteracy in the United States lies in the conceptualization of the problem to which literacy is the solution and in an underfinanced practice that parallels dominant educational institutions, emphasizing the service of individuals. Adult education plays a critical role in liberatory action. Although…

This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…

This book was developed to answer those questions and concerns most often on the minds of students during a mathematics class. It offers them insight from an instructor's viewpoint on how to increase their probability of success in a mathematics course. It is intended to approach the learning of mathematics through both motivating students and…

This supplementary volume presents appendixes A-E associated with a 1-year study which determined what secondary school students were doing as they engaged in the Chelsea Bank computer software simulation activities. Appendixes present the SCANS Analysis Coding Sheet; coding problem analysis of 50 video segments; student and teacher interview…

Research has documented the relationship between attributions and metacognition in the areas of memory, visual discrimination, and reading. The present study extended this research into the domain of mathematical problem solving. Thirty ninth-grade students who attributed performance to strategy, effort, or unknown causes were videotaped and asked…

This document presents the executive summary of the National Assessment of Educational Progress (NAEP) 1992 mathematics assessment. It included nearly 250,000 fourth, eighth, and twelfth grade students attending approximately 10,000 schools across the United States. The results from the assessment indicate that student performance is improving…

Intuition is knowledge of something without the conscious use of reasoning. The question of where intuitive knowledge comes from may be addressed from neurophysiological, spiritual, or philosophical perspectives. In some cases, hunches may be traced to the unconscious processing of immediate sensory input with previous knowledge. In other cases,…

An investigation was conducted to determine the effectiveness of utilizing analogies to effect conceptual change in mathematics. Forty-one high school seniors participated in a knowledge reconstruction process regarding their beliefs about everyday probability situations such as sports events or lotteries. These mathematics students were given…

Much of the emphasis in this handbook is on helping students develop investigative, problem-solving, and thinking skills, but the importance of students' working together in a cooperative and democratic setting to solve problems is also stressed. Cooperative learning is an instructional tool that can often be used to the student's advantage. Part…

In two studies, children participated in route-planning tasks in which they were asked to find the shortest path to retrieve certain items. In Study 1, children participated in two versions of the task (standard versus feedback) differing in the amount of contextual support. Forty-eight children, ages 6, 8, and 10 years, had to help their…

This document contains informal geometry explorations that provide students with opportunities to investigate the environment from a geometric perspective, construct connections between related mathematics and other content areas, and solve problems in a geometric context. The activities provide experiences that develop curiosity, understanding,…

This paper describes the use of radical constructivism as a basis for curriculum reform in university mathematics courses and reports on research conducted on two of the courses developed, one in geometry and one in problem solving. The theoretical underpinnings of the project are described along with the implications for course design and…

This book is written to help teachers develop plans and ideas for implementing innovative approaches to assessment in their mathematics classes. Chapter titles are: (1) "Purposes and Goals of Assessment," (2) "Assessment and Mathematics Teaching," (3) "Procedural and Conceptual Knowledge," (4) "Problem Solving…

Four papers from a project concerning information-processing characterizations of the knowledge and processes involved in design are presented. The project collected and analyzed verbal protocols from instructional designers, architects, and mechanical engineers. A framework was developed for characterizing the problem spaces of design that…

A step-by-step model for training peer counselors forms the basis of the trainer's manual and accompanying exercises for trainees which are organized into two books for effective skill building. Designed for peer counseling trainees, this document presents the first of these two exercise books. The book begins with three very brief chapters which…