Presents a lesson plan detailing an interdisciplinary mathematics/science activity in which students find the balance and center of gravity of a map of the United States. Contains reproducible student worksheets. (MKR)

Describes activities that demonstrate the relationship of mathematics and science and their use in solving real-world problems like solid waste disposal. (JRH)

Presents the hierarchical structure of quadrilaterals as an illustration of learning a geometric concept by moving from the levels of visualization and analysis to the level of formal deduction. The development discusses the classification of quadrilaterals, the inheritance of properties within the hierarchy, connections between algebra and…

Presents a worksheet on graph paper that allows students to determine the perpendicular bisectors of given segments by folding the paper. Students then determine the slopes of the perpendicular bisectors and use inductive thinking to discover the relationship between the slopes of perpendicular lines. (MDH)

Discusses the first session and events from other sessions of a mathematics circle consisting of the author and four preschool children. Presents discussions that ensued with the children when asked to solve problems related to Piaget's stages of cognitive development. (MDH)

Described is a mathematics resource laboratory where students use a variety of computer materials to enhance, reinforce, and broaden their concepts of first- and second-year algebra and geometry. Included are sample laboratory sheets and the answers. (KR)

Using case studies that are functionalist in orientation and computational in technique, the role of control knowledge in developing constructive thinking is illustrated. Further, the integration of related knowledge structures, emanating from diverse sensory modes and pertaining to both place value in addition and angle relationships in geometry,…

Introduces the concept of maximum and minimum function values as turning points on the function's graphic representation and presents a method for finding these values without using calculus. The process of utilizing transformations to find the turning point of a quadratic function is extended to find the turning points of cubic functions. (MDH)

Presents an attempt to combine the history of mathematics of ancient Greece with the course on theoretical geometry taught in Greek secondary schools. Three sections present the history of ancient Greek geometry, geometrical constructions using straightedges and compasses, and an application of Ptolemy's theorem in solving ancient astronomy…

Written descriptions by students in grades 3-7 (n=274) of common 2-dimensional geometric shapes were examined to compare the level descriptors of the van Hiele Theory and the SOLO Taxonomy. Results indicate that descriptors associated with the SOLO Taxonomy more accurately describe the quality of student thinking. (MDH)

Presented are student activities that involve two standard problems from geometry and calculus--the volume of a box and the bank shot on a pool table. Problem solving is emphasized as a method of inquiry and application with descriptions of the results using graphical, numerical, and physical models. (JJK)

Describes a course for teachers of American-Indian students that focuses on the development of culturally relevant activities as part of the science and mathematics curricula. Activities were embedded in a holistic approach to the curriculum and linked the informal science and mathematics of the culture with traditional school science and…

Uses the biography and work of M. C. Escher to introduce a unit on art history. Tells about Escher's influence not only on artists, but also on mathematicians and physicists. Outlines a student project in which students employed one of these themes: impossible geometry, rotating symmetry, or geometry. (DSK)

The problem-solving performance of high-achieving (HA) and low-achieving (LA) 11th-grade students was compared during solution of geometry problems using a think-aloud procedure. Detailed analysis of problem-solving protocols indicated that HA students not only accessed a greater body of geometrical knowledge but also used that knowledge more…

A Sacramento County district successfully combines rigorous standards with civic values and service learning, requires both algebra and geometry, and helps students pass the high school exit exam. The community has been involved in raising standards and developing accelerated learning programs at all 29 elementary schools. (MLH)