Presents thinking-aloud protocols from secondary pupils solving arithmetic story and geometrical problems and analyzes their protocols by using interpretation models founded on a general problem-solving model. A word problem solving simulation is also used to further explicate processes pupils use to solve mathematical tasks. (Author/MBR)

Describes an activity (which has worked well with gifted students in grades 2-10, high school seniors, and in-service workshops) which uses only loops of string or yarn approximately six to nine meters in length. Groups (four to six participants) then make various geometric patterns using the yarn. (JN)

This teaching unit is designed to help students in grades 4-8 explore the concepts of geometry and measurement in the context of surveying planets. The units in this series have been developed to enhance and enrich mathematics, science, and technology education and to accommodate different teaching and learning styles. Each unit consists of a…

This paper reports early work from a project examining the affordances offered by Interactive Whiteboards (IWBs). Here the focus is on the teaching of the definition of quadrilaterals through the use of Cabri Geometre. We discuss the work of two 11-year-old children, who are exploring the kite. The protocol highlights the complexities inherent in…

This report contains papers from the Nordic Conference on Mathematics Teaching (NORMA-94). The first three papers are plenary talks aimed at giving the participants an opportunity to form a coherent view of the new theories of learning. The themes of the paper sessions addressed a variety of topics on different levels from elementary school to…

This document presents the content standards for mathematics in Arkansas. These standards are organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and probability; and (5) patterns, algebra, and functions. Each of these strands is subdivided into…

Describes a mathematics fair prepared by the University of Missouri Mathematics Teachers Organization (UM2TO) which includes games involving numbers and computation, logic puzzles, geometry and spatial-visualization exploration, and probability and statistics activities. Presents tips for developing a mathematics fair. (ASK)

Discussed are supercalculator capabilities and possible teaching implications. Included are six examples that use a supercalculator for topics that include volume, graphing, algebra, polynomials, matrices, and elementary calculus. A short review of the research on supercomputers in education and the impact they could have on the curriculum is…

Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

Described is a way to incorporate mathematics into such disciplines as social studies, English, science, and library skills. Emphasized is that connections must be made among various topics so that students can see how mathematical ideas are related and how one mathematical idea can help them understand others. (KR)

Illustrates the reasons of formulas on geometric concepts, including length, area, volume, and angles. Provides diagrams of geometric constructions with related formulas. (YP)

Discusses an activity for the use of tangrams in which students flip, rotate, slide, or patch the pieces in order to construct a particular shape. Examples include provisions for constructing two trapezoids; transforming a scalene triangular region into quadrilaterals of equal area; and transforming a cross into a picture frame. (RT)

The author suggests that spreadsheet computer programs can be an effective tool in the mathematics classroom. In addition to being used to solve many real-world problems, spreadsheets can be used to promote understanding of concepts and principles from geometry, algebra, and trigonometry. (PK)

Shortcomings of current curricula for geometry in the elementary school are discussed. The use of the computer programing language Logo to develop geometric ideas is described, with supporting research. (MNS)

Presents an activity to introduce students to the intrinsic curvature of surfaces using a wide variety of objects. Describes student discoveries, several variations on the project, and possible classroom discussion topics. A reproducible student worksheet and 17 references are included. (MKR)