This book contains activities designed to help teachers enrich the mathematical experiences of all children and reach toward fulfillment of the National Council of Teachers of Mathematics (NCTM) Standards. Chapters include: (1) "Prenumber, Number, Non-Number"; (2) "Place Value"; (3) "Addition, Subtraction"; (4)…

The United States Military Academy leads a consortium of 12 schools located throughout the country in an effort to improve educational culture through the enhancement of interdisciplinary cooperation and coordination. The primary activity of this program is the development and use of Interdisciplinary Lively Application Projects (ILAPs), the goals…

This study is part of a longitudinal study of 22 elementary school children observed over a 3-year time span in the classroom and in individual task-based interviews. Through the examination of videotaped structured clinical interviews of Marcia, the first in 1992 when she was 9 years old (4th-grade), this study seeks to draw inferences about her…

The primary purpose of this study was to evaluate the application of a process approach for the teaching of algebra with a heterogeneous class of eighth-grade students. The assessment was conducted by identifying the processes used by above-average, average, and below-average algebra students in solving standard and nonstandard problems ranging…

This paper outlines a theoretical perspective for studying student understandings of the concept of addition. The notion of operational sense is defined as a way to describe the notion of addition as a mathematical object, paving the way for an application of the theory of reification at this level. Previous frameworks relative to problem solving…

The SMART (Summer Migrants Access Resources through Technology) project provides Texas migrant students with supplemental instruction using a multi-media, nontraditional approach. Migrant students who remain in Texas during the summer are taught in their homes or other sites via televised instruction with additional instructional support from…

This paper describes three methods that can be utilized in teaching for meaning in mathematics. These three methods are based on learning theories. Although there may not be consensus of what constitutes meaningful learning in the study of mathematics, there are problems with meaningless mathematics that are widely agreed upon by educators.…

This publication is designed to educate high school students about the problems and challenges of transportation. The parent project was conceived as a mathematics curriculum project but developed into an interdisciplinary project to ensure that students would become well informed regarding the transportation decisions they make. In the activities…

A study of the cognitive style characteristics of marketing education students focused on reasoning and problem solving. Field dependence theory measured particular cognitive styles in secondary school marketing education classrooms and estimated implications for reasoning and problem-solving behavior among currently enrolled students. The study…

This study investigated junior high school students' use of problem-solving heuristics and metacognitive processes and the relationships that might exist between the students' use of these processes and their cognitive style. Using a computer microworld called "Nimbot" based on the ancient game of Nim, 10 seventh- and eighth-grade…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

The relationships among types of errors observed during probability problem solving were studied. Subjects were 50 graduate students in an introductory probability and statistics course. Errors were classified as text comprehension, conceptual, procedural, and arithmetic. Canonical correlation analysis was conducted on the frequencies of specific…

The last 12 years have been years of great change in mathematics in secondary schools, both in content and style of teaching, and it is appropriate to consider what has been achieved, what has been missed and what are the problems in the immediate future. (Author)