Describes some of the ways children in a kindergarten, grade one, and grade two combination class learn math by choosing to do it in real, sensible, and interesting ways. This whole math approach has children develop their own problems to investigate specific topics that combine math, science, problem solving, and the language arts. (MDM)

Discusses the present reform movement in mathematics education centered around the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics." Describes different ways that the movement can become out of balance (oob). (MDH)

Explores areas of polygons by comparing polygon area to the area of the associated midpoint polygon, formed by joining the midpoints of consecutive sides. Considers triangles, quadrilaterals, pentagons, and regular polygons using paper folding, drawings on graph paper, and plexiglass MIRA constructions. (Contains 12 references.) (MKR)

Describes the experiences of a teacher using a mathematics curriculum called Six Through Eight Mathematics (STEM). Discusses how experiencing this curriculum helped shape views of mathematics and teacher role. (ASK)

Describes a model to help teachers implement reform initiatives that integrate pedagogy and content and to integrate these reform practices into the current curriculum. (ASK)

Describes a study designing and implementing technology-based investigations and evaluates their impact on student learning. Discusses a teacher's mediation of the students' use of technology through curriculum materials, and considers some attributes of computers and graphics calculators that determined which tool was selected for each…

Discusses important lessons on the mathematics of manufacturing and how curriculum content and teaching can prepare students for working. Features concepts such as the importance of spatial and geometric reasoning, problem solving, numbers and computation, and measurement. (ASK)

Outlines the model for postsecondary reform of mathematics, science, engineering, technology, and communications education developed by the South Carolina Advanced Technological Center for Excellence. Presents an integrated, problem-based curriculum; collaborative teaching strategies; and extensive active learning techniques designed to increase…

Discusses the coverage of current issues in the mathematics education of young children, noting the numerous examples of activities and processes. Argues that while some insights into mathematics learning and teaching have become outdated, the book is useful for educators working with young children. (JPB)

Discusses using a computer spreadsheet's graphing capabilities to assist grade 8-12 algebra students to see equations and their solutions in new ways. Describes and illustrates the solution of two equations and an inequality using ClarisWorks, or Microsoft Excel or Works spreadsheet. Discusses "Curriculum and Evaluation Standards for School…

The new English mathematics curriculum for three to five year olds requires adults to teach number. How this should be done is not clear: this article looks at current theory and research in order to recommend some teaching strategies. A new mathematics pedagogy is proposed, based on holistic principles and considering children's mathematical…

This article explores the algebra that can be uncovered in many middle-grades mathematics tasks that, on first inspection, do not appear to be algebraic. It shows connections to the other four Standards that occur in traditional algebra problems, and it offers strategies for modifying activities so that they can be used to foster algebraic…

Cross-cultural studies on mathematical cognition and education have suggested that curriculum and teaching have contributed to U.S. versus Asian differences in student performance; however, previous discussions of curriculum and teaching practices have been very general and have not focused on a detailed analysis of how mathematics concepts are…

The United States Military Academy (USMA) has a four course core mathematics curriculum that is studied by all students. The third course is MA205, Calculus II; a multivariate calculus course filled with practical applications. During a Problem Solving Lab (PSL), students participated in a hands-on exercise with multiple vector operations,…

Mathematical optimization problems are not typical in the classical curriculum of mathematics. In this paper we show how several generalizations of an easy problem on optimal transportation were solved by gifted secondary school pupils in a correspondence mathematical seminar, how they can be used in university courses of linear programming and…