The purpose of this research has been to generate learning environments that surrounded second and third grade students with bi-directional counting experiences, leading them to discover and come to an understanding of opposite numbers. While engaged in games and bi-directional activities, these young students eagerly counted, by jumping frogs…

This article describes ways in which technology-supported mathematical investigation can engage students with substantive mathematics. It focuses particularly on the ways in which the NCTM Process and Content Standards for the elementary grades can be supported by the use of interactive software such as The Geometer's Sketchpad. (Contains 6…

Most people struggle to process information auditorily but this is often the way that it is taught. Presents a highly effective method for teaching multiplication that can be accessed at students' fingertips. (ASK)

Presents an activity on visualizing fingers for arithmetic, counting, and multiplication. (ASK)

Uses the history of China to present examples of mathematics that can be usefully employed in primary classrooms. Challenges teachers to translate these ideas into practical activities for children. (Author/CCM)

Discusses the role of project work in primary mathematics using a junior primary class example to illustrate the role of the teacher in creating a climate for effective mathematics learning. (Author/CCM)

Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)

Provides activities focusing on students' use of manipulatives to demonstrate understanding. (Author)

Reports on rich mathematical activities that integrate different mathematics strands and learning. Describes how to introduce the task and the classroom setting, set up the task, and continue the investigation. Presents student work samples. (ASK)

Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)

Presents a sample of Probability Carnival activities and suggests how they might be adapted for the classroom. (KHR)

Considers teaching strategies to help children overcome misconceptions and difficulties with the mathematical concept of angles. (ASK)

The computer tools for interactive mathematical activity (TIMA) were designed to provide children a medium in which they could enact the mathematical operations of unitizing, uniting, fragmenting, segmenting, partitioning, replicating, iterating and measuring. TIMA were developed in the context of a constructivist teaching experiment focused on…

Describes and shares one incident of a teacher's mathematics exploration in a professional development setting to exemplify the ideas of the Professional Standards for Teaching Mathematics. Focuses on the handshake problem which tries to find out how many handshakes will occur if 20 people shake hands with every other person. (ASK)

Compares methods of subtraction used by children and teachers. Suggests ways to encourage children to invent their own subtraction algorithms. (CCM)