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)

Identifies and proves two theorems related to expressing rational numbers in decimal form for any natural base m>1. Includes two BASIC computer programs with sample runs. (MVL)

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)

Presents reviews of the four software packages "Blockers and Finders,""Decimal Squares Computer Programs: Decimal Concepts, Addition and Subtraction, Multiplication and Division, and a Data Disk,""Number Stumper," and "Object Logo, Version 1.5." The software packages include problem-solving activities and drill and practice programs. (PK)