This report identifies 13 instructional strategies for teaching adult numeracy skills that address issues of assessment, development of mathematical skills, and development of problem-solving skills. The rationale and suggestions regarding the following 13 instructional principles are described: address and evaluate attitudes and beliefs about…

Individualized instruction significantly improves students' pedagogical and motivational outcomes. The study described here sought to characterize tutorial behaviors that could lead to these benefits and to consider why these behaviors should be pedagogically useful. The experiment studied 16 undergraduate and graduate university students learning…

This book addresses the subject of learning mathematics with an understanding that shares a consensus about the essential features of classrooms for understanding mathematics. By describing the essential features of classrooms that support students' mathematical understanding and by providing pictures of several classrooms that exhibit these…

Several studies have shown the difficulties students encounter in making sense of situations involving rate of change. This study concerns how students discover errors and refine their knowledge when working with rate of change. The part of the study reported here concerns the responses of four precalculus students to a task which asked them to…

This booklet describes 14 student art projects to be used in science classes. Creative skills involved in the process of artistic expression seem to translate very well into the problem solving world of technology. Even in the elementary level it can help build confidence, as well as the development of abstract skills that so often lead to…

In the wake of a debate about multiculturalism on college campuses, about one-third of the humanities faculty at Valencia Community College (VCC), in Florida, volunteered to revise the traditional eurocentric curriculum to render it more inclusive and multicultural in nature. Early in the process, faculty identified and evaluated institutional and…

This paper describes what teachers need to know about performance assessment to do it well. First, they should know what performance assessment is and why anyone should care. One thing that has to be emphasized is that there are two parts to a performance assessment: the tasks and the criteria. Teachers tend to be better at developing rich and…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 6-8, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, exponents, fractions, pre-algebra, algebra, geometry, number theory, set theory, ratio, proportion, percent, probability,…

This volume contains some examples of mathematical applications in sports. Sports discussed include tennis, figure skating, gymnastics, track and field, soccer, skiing, hockey, and swimming. Problems and situations are posed and answers with thorough explanations are provided. Chapters include: (1) Mathematics and Sports; (2) What Is Applied…

This report describes a program for improving students' depth of understanding through the use of alternative assessment. The targeted population consisted of students at one elementary, one junior high, and two high schools in two growing middle class communities in northern Illinois. Lack of student understanding was documented through teacher…

This paper explores the relationship between the concept of cognitive apprenticeship and situated cognition and the social construction of knowledge. Cognitive apprenticeship is the enculturation of students into authentic practices through authentic activity and social interaction in a way similar to that which is evident--and evidently…

This booklet is the print component of a Title II-funded package designed to enhance elementary school mathematics instruction through a problem solving approach that promotes mathematics learning in an environment of inquiry, risk taking, and classroom dialogue. The other component is a 28-minute videotape in which teachers present each of the…

The concept of the mole and its relationship to chemical algebra is difficult for many high school chemistry students to master. This paper describes a study of the use of proportional reasoning when teaching mole relationships and its effect on developing critical thinking skills. The Test of Logical Thinking (TOLT) was used as a pre- and…

This paper draws a parallel between the social problems the United States faces today and the problems the country faced in the latter part of the 19th century. Contemporary efforts of educators to address social problems with new curricula can be likened to similar efforts made by 19th century educators. The 19th century effort included the…

This revised version of "Mathematics for Horticulture" was developed to meet the needs of educators faced with teaching a mathematics curriculum based on real-life applications. The manual includes a wide range of topics, some remedial in nature, but all very basic to success in the industry. The manual contains seven chapters that cover the…