Presented is a teacher's guide for a hands-on activity challenging students to develop problem-solving behaviors by exploring the construction of a right-cylinder of maximum volume from an m x n sheet of metal. Reproducible worksheets leading students through the activity are provided. (MDH)

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Identified are three obstacles which students must overcome when examining and interpreting diagrams. The resources of the Geometric Supposer, a set of microcomputer tools designed to aid students, are outlined. The advantages of the use of this software are emphasized. (CW)

Geometric approaches to representing interrelations among tests and items are compared with an additive tree model (ATM), using 2,644 examinees and 2 other data sets. The ATM's close fit to the data and its coherence of presentation indicate that it is the best means of representing tests and items. (TJH)

A high school geometry teacher studied the alternative assessment literature, developed and tried alternative assessments such as portfolios in the classroom, evaluated students' and parents' satisfaction levels with these methods, and got feedback from those involved. While students initially had mixed reactions, over 90% of parents supported…

Utilizes the psychological and sociocultural components of a constructivist paradigm to provide a detailed analysis of how the cognitive constructions students make as they enumerate 3D arrays of cubes develop and change in an inquiry-based, problem-centered mathematics classroom. Describes the classroom work of three pairs of 5th-grade students…

Presents activities on estimation, scaling, area of nonstandard shapes, algebraic thinking, and real-life situations using the United States of America. These activities make it possible to integrate mathematics and social studies. Uses technology by employing geometry software packages such as The Geometer's Sketchpad, Cabri, and Geometric…

Describes several short geometry tasks that go beyond the simple recognition of figures and properties. Presents scoring rubrics and questions that might be useful to middle school teachers developing short open-ended questions that encourage and assess students' thinking. (ASK)

This article describes a case study dealing with teacher?student reaction and cooperation during problem-solving activities within a class setting. The aim is to familiarize student mathematics teachers with the process of mathematics teaching with computers and to help them re-examine their traditional views of mathematics learning and teaching.…

The topic of the assignment for eighth-grade students was reporting on the forest fires in Indonesia in chronological order, from 26 August to 27 September 1997. The final stage of the assignment was composing a report in essay format. The goal of this presentation was to examine the historical interpretation of the events and to simultaneously…

This study deals with the demand of a task. A theoretical background shows the difficulty of applying the idea of demand (as established in the literature) to the data. This has been confirmed in the preliminary study of this paper, which deals with the analysis of university examinations. Some factors that affect the demand of a task have been…

"Tumaqcat" in the Yupiaq language literally means putting the pieces together. This case demonstrates how Ms. Nancy Sharp, a Yupiaq immersion teacher, seamlessly creates a classroom space that honors and adapts her home culture while she simultaneously meets school-based mathematical standards. Ms. Sharp's Yupiaq immersion class makes patterns…

"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…