Manipulatives are a common tool in mathematics teaching and learning, including for students with disabilities. The most common manipulatives are concrete manipulatives, yet app-based manipulatives are a viable age-appropriate option for secondary students with disabilities. Through an adapted alternating treatment design with three middle school…

The goal of the current study was to contribute to our emergent understanding of whether and how particular types of digital games can support student learning and engagement. We focused on commercially available educational apps that focused on similar content (fraction comparison and equivalence) but represented extremes in how game-like they…

In general, units coordination refers to the relationships that students can maintain between various units when working within a numerical situation. It is critical that middle school students learn to coordinate three levels of units not only because of their importance in understanding fractions but also because of their implications for…

Maree Skillen provides a practical guide to using the free, Skitch app to promote mathematical exploration and understanding. Five activities are provided, with links made to the Australian Curriculum: Mathematics.

A critical incident is a situation or event that holds significance for learning, both for the students and teachers. This paper presents four examples of critical incidents from a Year 7 teacher's lesson excerpts in Indonesia involving teaching of fractions, to show how they shaped classroom situation, brought forward elements of conflict, and…

Programs which compute values for the nth power of 2 where n is very large and for fractions, with a great deal more precision than is normally possible for a computer, are listed. (TG)

Suggestions are given for having students write or modify computer programs for listing prime positive integers and continued fractions, to help them discover mathematical concepts. Sample programs are included. (MNS)

This study examined various misconceptions committed by junior high school students in fraction addition and subtraction problems. Almost 600 subjects were administered two tests, addition and subtraction, and their performances were analyzed by several computer programs, including two programs (FBUG and SPBUG) which are so flexible to any items…

Work with PLATO, a computer-based teaching system which provides a means for individualizing instruction, is described. Children sit at terminals and respond to directives and questions on the screen by touching it or by typing a message. PLATO responds, and prescribes work in accordance with the child's previous performance. Curricular materials…

Describes an activity intended to incorporate investigation into learning of mathematics. The example cited involved having fourth graders study perimeter and area of rectangles using Logo. The author suggests that what began as a simple exercise in investigating geometric concepts became an exciting exploration that touched on many topics. (PK)

Theory-based prototype computer-video instructional modules were developed to serve as an instructional supplement for students experiencing difficulty in learning mathematics, with special consideration given to students underrepresented in mathematics (particularly women and minorities). Modules focused on concepts and operations for factors,…