Explores two avenues for K-6 teachers' mathematical development: (1) engagement in inquiry into mathematics itself; and (2) investigation of children's mathematical thinking. Illustrates how the need for these two kinds of investigations arises in classroom situations and how they can be pursued in a professional development setting. Contains 39…

Describes an interactive multimedia resource designed to provide experiences to develop preservice teachers' knowledge and practices for teaching and assessing mathematics in K-12 classrooms. Contains 31 references. (Author/ASK)

Introduces a study that utilizes portfolios to help preservice elementary mathematics teachers assess, through a self-reflection paper, the merit of portfolios in their professional growth and understanding of present-day mathematics practices. (ASK)

Discusses ways of using six literature books to study mathematics in which students read about mathematics in the context of literature to explore problems embedded in the context of a story. (ASK)

Introduces the use of the game Battleship to study the system of equations and the distance formula. (ASK)

Introduces a place of mathematics using a town called Amiens and its Cathedral whose overall floor plan was based on the Greek cross using proportions matching that of the ideal human body, the figures in the shape of an octagram or star octagon, and the symbols in the design. (ASK)

Focuses on the use of different strategies for solving sequences of interrelated problems. Discusses some useful techniques a teacher could employ to design problem chains. (Contains 20 references.) (ASK)

Presents discovery mathematics activities involving sporting equipment. (ASK)

Presents a case study on how students fail to learn mathematics and leave school with a dislike of math. Describes the use of metaphors in changing attitudes towards mathematics. (Contains 18 references.) (ASK)

Presents a student mathematics project aimed at developing students' skills with computer spreadsheets and using the Internet to give students an appreciation of the many ways that mathematics can describe common everyday items--in this case the bicycle--and make them aware of their own role in learning. (ASK)

Adapts Stanic and McKillip's ideas for the use of developmental algorithms to propose that the present emphasis on symbolic manipulation should be tempered with an emphasis on the conceptual understanding of the mathematics underlying the algorithm. Uses examples from the areas of numeric computation, algebraic manipulation, and equation solving…

Defines the terminology associated with the topic of assessment and evaluation in mathematical learning and teaching. (Author/CCM)

Approaches the development of the algorithm from a holistic, spiraling perspective in which students can avoid many of the common mistakes and misunderstandings associated with long division. (CCM)

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)

Describes a project that features a video in the form of a documentary built around a series of six case studies in mathematical thinking: geometry, number, measurement, algebra, chance and data, functions, and calculus. Chooses an example from each area to illustrate inductive and deductive thinking-patterns and proof. (ASK)