The assessment of knowledge and learning progress in the context of game-based learning requires novel, noninvasive, and embedded approaches. In the present paper, we introduce a mathematical framework which relates the (problem solution) behavior of a learner in the game context to the learner's available and lacking competencies. We argue that a…

This paper describes the role of the school-based mathematics specialist of the Project IMPACT (Increasing the Mathematical Power or All Children and Teachers) whose primary purpose is to design, implement, and evaluate a model for primary mathematics instruction that will enhance student understanding and support teacher change in predominantly…

Describes a college geometry course centered around challenging, open-ended problems that invite students to draw upon their experiences and share their understandings. Includes discussion of sample problems; writing assignments; classroom dialog; student comments and insights about geometry, mathematics, and themselves and mathematics; and…

Discusses several research efforts focusing on understanding students' attributes and validating instructional programs to improve mathematical learning and provides several instructional recommendations to assist teachers in enhancing mathematics learning for all students. (MKR)

Describes a program to encourage students in grades one through three to draw illustrations for word problems and then use the pictures to help solve the problems. (MKR)

Explores the gap between the ideological orthodoxies of mathematics education and the expectations and beliefs of parents. Three strategies are proposed: repetition and attention, narratives and stories, and giving instruction that credits students with their own intelligence. (MKR)

Describes the Math, Science, and Computer Camp for girls ages 8-12. Includes vignettes that illustrate worthwhile mathematical tasks in which girls engage that expand their notion of mathematics. (MKR)

Discusses Project MATH: Good Beginnings, a staff development project for teachers in grades K-3. The staff of the program models teaching strategies used in a problem-driven curriculum that encourages student engagement. (MKR)

Describes four projects that support the transition from an abstract to a concrete notion of the effective use of technology in the secondary school classroom: The Interactive Mathematics Program, Systemic Initiative for Montana Mathematics and Science, University of Chicago School Mathematics Project, and Connected Geometry. (MKR)

Lower-level mathematics courses often become a dead-end for mathematics course-taking among low-achieving students. However, several new upgraded mathematics courses reflecting emerging standards in mathematics are improving students' chances of taking college preparatory mathematics and raising student achievement. California and New York have…

A metric education project is described and evaluated. The project attempted to integrate a variety of components including grade objectives and activities, teacher training, and public relations. The report describes the model school and the target population, lists the metric education goals, and describes the project events and procedures.…

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 booklet presents brief descriptions of 13 demonstration projects developed by school districts and other educational organizations in New York, using funds granted under Title IV-C of the Elementary Secondary Education Act. Each of the program descriptions includes the title of the demonstration project, a brief discussion of the project and…

The Basic Skills Learning System is a modularized network of computer assisted tutorials, drills, tests, printed materials, and videotaped presentations directed at improving the basic reading, math, and language skills of adults who have mastered these skills at a level above third grade but below eighth grade. Advanced computer technology…

A widely adopted National Diffusion Network program, Diagnostic Prescriptive Arithmetic, teaches elementary arithmetic skills through games and other concept-building activities. Practical math applications and problem-solving techniques are emphasized. (SK)