Demonstrates how research-based knowledge of students' incompatible solutions to various representations of the same problem could be used to raise their awareness of inconsistencies in their reasoning. Reports that students' decisions as to whether two given infinite sets have the same number of elements depend on the specific representation of…

Two experiments (one using models and diagrams, one using slides) were carried out to investigate how remedial instruction may be given to students who have difficulties in visualizing the diagrammatic representation of a three-dimensional structure after the structure has been rotated. (Author/BW)

Explores the role of spatial orientation skill in the solution of mathematics problems. Reports the role of estimating the approximate magnitude of a figure; demonstrating the flexibility to change; adding marks to show relationships; moving or assessing the size and shape of figure; and getting the correct answer. (YP)

Discusses the need for three-dimensional ideas in geometry. Describes a three-year sequence of projects that help develop students' spatial skills. (ASK)

Presents a ping-pong activity to teach the coordinate plane that puts students in a position to experience and relate to the coordinate plane in a manner that evokes their visual, spatial, and physical senses while linking the plane with a familiar object. (ASK)

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

This paper investigates one high school student's use of gestures in an interview context in which he worked on the problem of understanding graphical representations of motion. The goal of the investigation was to contribute a detailed analysis of the process of learning as it occurred over a short time period in order to contribute to the…

Evaluated effectiveness of six instructional programs (each dealing with a different aspect of a spatial task related to diagrams of three-dimensional structures) with Bahraini students (ages 13- to 17-years-old). All brought about a significant degree of learning over all age groups. Implications of these and other findings are discussed.…

Discusses important lessons on the mathematics of manufacturing and how curriculum content and teaching can prepare students for working. Features concepts such as the importance of spatial and geometric reasoning, problem solving, numbers and computation, and measurement. (ASK)

Explains an investigation which examined Nigerian students' (N=200) ability to respond to depth cues and to visualize the effects of rotations. Study results indicated that performance on cues tests correlated significantly with performance on rotation tests suggesting that cues influence students' ability to visualize the effects of performing…

The cube is the most familiar and in many ways the simplest of the five regular polyhedra, and yet it is surprisingly rich mathematically. This article suggests a number of practical activities for the classroom which involve the cube and related polyhedra. (PK)

Describes an enrichment activity based on the problem "Given a 2x2 square, and three colors, how many different ways can we shade the square?" (PK)

Upholds the importance and need for including visuo-spatial skill exercises in science lessons. Provides suggestions for improving students' visualization skills and reviews the approaches that have been successful with students who were poor in visual skills. (ML)

Although girls and boys were similar in cognitive skills and attitudes toward mathematics in grade 8, boys performed significantly better in mathematics by grade 11, even with mathematics background controlled. No sex-related difference in spatial visualization developed. (Author/GDC)

Reports on the case study of a high school student using a computer-based tool called the Contour Analyzer to create graphs of height versus distance and slope versus distance for a flat board positioned with different slants and orientations. Focuses on visually recognizing the mathematical behavior of the slope versus distance function which…