Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

Presents activities that relate the Olympic Games to measurement. Includes descriptions of and worksheets for 5 activities involving estimation, nonstandard units of measure, linear measure, and time measurement for grade levels K-2, 2-4, and 5-8. (MDH)

Describes a study of the effect of teachers' verbal feedback on the ability of bilingual sixth graders to solve mathematical word problems. Treatment was based on Mayer's model of problem solving. Results indicated that theory-based feedback targeted to bilingual students' individual and class needs improved student mathematics performance. (GH)

Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)

Presented is a teacher's guide for a hands-on activity challenging students to develop problem-solving behaviors by exploring the construction of a right-cylinder of maximum volume from an m x n sheet of metal. Reproducible worksheets leading students through the activity are provided. (MDH)

Following a brief historical review of the mechanism of mathematical modeling, examples are included that associate a mathematical model with given data (changes in sea level) and that model a real-life situation (process of parallel parking). Also provided is the rationale for the curricular implementation of mathematical modeling. (JJK)

Lists questions and answers for mathematical investigations that teachers should ask when they consider using alternative approaches to teach new content. Presents an example of a mathematical investigation on concepts of area, symmetry, pattern, function, algebraic rules, and Pythagorean theorem. Argues that investigations offer opportunities for…

Two hundred and thirty-one students in six Grade 9 classes in two government secondary schools located near Chiang Mai, Thailand, attempted to solve the same 18 quadratic equations before and after participating in 11 lessons on quadratic equations. Data from the students' written responses to the equations, together with data in the form of…

The quality of knowledge underlying students' algebraic thinking is a major concern of K-12 mathematics teaching and reform-driven curriculum documents. In this paper the author examines this issue by characterizing a group of high school students' algebraic knowledge and patterns of use of that knowledge during the solution of selected problems.…

This paper examines 6th grade children's local conceptual development and mathematization processes as they worked a comprehensive mathematical modeling problem (creating a consumer guide for deciding the best snack chip) over several class periods. The children and their teachers were participating in a 3-year longitudinal teaching experiment in…

The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)

The early development of computers and computer technology is traced, and the relationship of the computer and mathematics is discussed. (SD)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

This booklet is one in a series of teacher inservice materials developed in an effort to translate the findings of a study of problem-solving instruction into materials that provide teachers with new knowledge about mathematical problem solving, current instructional practices, and recommendations for problem-solving instruction. The need for…

This volume was organized at the request of the SMSG Panel on Research for their use in identifying needed research in mathematics education. The five papers provide a review of research in each of their areas up through early 1969. Papers included are: (1) Attitudes Toward Mathematics, by Lewis R. Aiken, Jr.; (2) Classroom Teaching of…