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)

Cabri3D is a potentially very useful software for learning and teaching 3D geometry. The dynamic nature of the digital diagrams produced with it provides a useful aid for helping students to better develop concept images of geometric concepts. However, since any Cabri3D diagram represents three-dimensional objects on the two dimensional screen of…

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 concerns applying Web-based learning with learner controlled instructional materials in a geometry course. The experimental group learned in a Web-based learning environment, and the control group learned in a classroom. We observed that the learning method accounted for a total variation in learning effect of 19.1% in the 3rd grade and…

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 is the final evaluation report of the On Growth and Form (OGAF): Learning Concepts of Probability and Fractals by Doing Science project that aimed at engaging high school students in hands-on science activities, experiments, and computer simulations that use probability and fractal geometry to model ragged structures in the real world.…

This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five…