Items in the North Central Regional Educational Laboratory's (NCREL) School Development Library series are multimedia packages consisting of print, video, and CD-ROM resources designed to support educators in their efforts to improve classroom instruction. This particular set consists of a 40-minute video and a printed booklet focusing on Dwight…

This study investigated students' conceptual and procedural understanding of calculus within the context of an engineering mechanics course. Four traditional calculus students were compared with three students from one of the calculus reform projects, Calculus & Mathematica. Task-based interviews were conducted with each participant throughout…

This investigation is part of an ongoing, larger study which is looking at joint activity and appropriation of new understandings in an inquiry mathematics classroom setting. Instances of help-seeking which occurred while children were endeavoring to solve non-routine problems at home were analyzed. Considered in this study were (1) the kind of…

TiPS (Tutoring in Problem Solving) System 1.0 is a computer-based instructional environment designed to support adolescent and adult problem-solving training based on the instructional objectives and training theory described in this document. The objectives of TiPS training are basic mathematics concepts and general problem-solving skills derived…

In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…

This volume contains the Annual High School Mathematics Examinations given 1973 through 1982, supplementing three previous compilations. The examinations provide challenging problems which teach, stimulate, and provide enjoyment for both participants and readers. In addition to presenting the ten examinations, consisting of 35 problems for the…

New York State teachers who had taught a computer-based mathematics course were surveyed regarding their conceptions of what topics such a course should cover. A common core of content was determined. (SD)

Students, playing the game described, develop strategies for guessing the four-digit number chosen by the opponent. The rules of the game are easily understood by low achievers, yet strategy development is challenging to advanced students. The game can be extended to numbers having more digits. (SD)

This paper examined a problem-solving partnership where both partners actively participated and where there were conflicting points of view. After several weeks of observation of an entire fifth grade class working in small groups, a dyad of two boys was selected for closer examination. Nonroutine mathematics problems were used as tasks. A…

The purpose of this study--which was a part of the Flexible Learning Environment project at the University School of Nova University in Florida--was to determine if there was a difference in learning to solve mathematics word problems between groups using computer assisted instruction and groups taught by teachers. Fifth-grade students (N=31) were…

The paper describes the use of expert systems technology in translating test and observational data into objectives for Individualized Education Programs (IEPs) with handicapped students. The Math Test Interpreter (MTI) is designed to combine student information, results from the Key Math Diagnostic Arithmetic Test and additional program generated…

This material assumes the user has the background provided by a good undergraduate course in applied probability. It is felt that introductory courses in calculus, linear algebra, and perhaps some differential equations should provide the requisite experience and proficiency with mathematical concepts, notation, and argument. The document is…

In order to study children's strategies for solving geometric matrices similar to those in the Raven's Progressive Matrices, ninety 7-, 10-, and 13-year-old boys and girls were administered tests of auditory and visual memory, the Raven's, and geometric matrices. The matrices varied in number of elements (1 to 3) and number of transformations (0…

Unified Science and Mathematics for Elementary Schools (USMES) is a reality-oriented approach to teaching emphasizing activities in which students define and solve their own problems. Examples of problems and activities found in schools using USMES guides are presented as well as a brief history of the project. (JP)

Experiments by Russian educators on teaching algebra in elementary grades are summarized by the author. The algebra taught consisted of generalized solutions to concrete problems that are usually presented with fixed numerical values. (JP)