This classroom scholarship report is based on the teaching experience using Davydov's mathematics curriculum, which was developed in the former Soviet Union. While "from arithmetic to algebra" is the normally accepted instructional sequence in school mathematics, Davydov's curriculum is laid out "from algebra to arithmetic," focusing on algebraic…

Numeracy develops and evolves through experiences that require students to creatively and flexibly use mathematics to solve complex problems that often involve competing constraints. Making room in the curriculum for these types of experiences is a challenge in secondary schools because of the pressures of a tightly packed mathematics curriculum;…

"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…

A majority of states are now involved in developing, revising, and implementing state frameworks in mathematics, science, and other core subjects. The Council of Chief State School Officers completed a one-year study of 60 current state curriculum frameworks in mathematics and science. The purposes of this study were to define and describe state…

This document presents activities that focus on learning measurement as it is used in the real world. The investigative approach used in these activities is designed to encourage middle-school students to explore ways of approaching real-life problems, to discover patterns, and to make and test hypotheses. These activity-oriented explorations are…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories of activities include computation, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, and riddles. The computation section contains 13 classroom games and activities along with 4 manipulative challenges.…

The goal of the DataSpace project is to develop a computer learning environment for data analysis and statistics and associated materials for high school mathematics. DataSpace software will provide a concrete metaphor for data, along with interactive visual explanations of statistical concepts. Users will be able to change data smoothly and…

Few would argue that students struggle with understanding and representing functions. There are many theories on why the abstraction of mathematical processes poses such cognitive difficulty, but so far functional programming is most often taught in a manner that discourages the use of visual intuition. The paper, by contrast, describes a…

The under-representation of females in mathematical careers persists despite the fact that in recent years, gender differences in mathematics achievement and participation in mathematics coursework at the high school level have virtually disappeared. This bulletin presents research findings and discusses gender differences in mathematics…

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

This paper suggests that the mathematics teacher needs to do much reading and studying of important trends in improving the mathematics curriculum. Recommendations are made for what teachers need to look for in research studies in mathematics in order to help them recognize what would make for a quality study. Collaborative and individualized…

As part of the school reform legislation of 1985, the Illinois State Board of Education established State Goals for Learning in six fundamental learning areas: language arts, mathematics, science, social science, fine arts, and physical development and health. The next step is to develop standards that will more clearly define the knowledge and…

While 1990 was the year of reform recommendations in mathematics education, 1991 may become the year of assessment in mathematics education. The growth of assessment activities stems from the belief that the primary purpose of assessment is the improvement of teaching. The digest reviews trends in mathematics assessment. Discussed are the sudden…

College admissions requirements can be a powerful force toward improved student achievement in high schools and colleges. In January of 1982, California State University adopted more rigorous admission requirements, to become effective in the fall of 1984. Since that decision, morale of high school teachers has improved, and expectations and…

This updated bibliography was prepared to provide a source of current information on general aspects of instructional computing, and to give particular attention to computing in mathematics education. The general information it contains will provide a starting point for educators who are beginning their work in instructional computing. The…