The recently revised "Northern Ireland Primary Curriculum" recommends that teachers make use of the environment to extend children's understanding of mathematics. One approach to using the environment in mathematics is to take children on a mathematics trail. A mathematics trail uses the resources and features within the environment as a…

This paper is exploratory in nature and our research goal is to develop a conceptualization of "learning as community service" in a new media context. The setting for the study is an after-school program involving middle school children in a First Nations community. In the after-school program, children developed knowledge about (1) their…

A common view seems to be emerging in the mathematics education world at the moment that the development and use of "rich tasks" is a good thing; a "right thing" to do. There are many examples of these "rich tasks" and teachers are encouraged to use them whenever they can. Professional learners don't just accept this uncritically, but question…

The authors investigated the effectiveness of using high-preference (high-p) mathematics tasks for increasing task initiation of low-preference (low-p) mathematics tasks with a 13-year-old middle school student with autism. They used an ABAB design to determine the effectiveness of high-p tasks with to comply with low-p tasks. Results indicated…

In this note we show the existence of a surprising analogy between quadrilaterals and tetrahedra, determining some properties that hold for both families of figures. This analogy suggests some new properties of quadrilaterals. (Contains 11 figures,)

This article presents an educational exercise in which statistical process control charts are constructed and used to identify the Steroids Era in American professional baseball. During this period (roughly 1993 until the present), numerous baseball players were alleged or proven to have used banned, performance-enhancing drugs. Also observed…

"Going Further" presents a roadmap to the works of the ACCLAIM (Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics) Research Initiative, the research effort of one the Centers for Learning and Teaching (CLTs) created with a grant (2001-2005) from the National Science Foundation. The Center began…

The Third International Mathematics and Science Study (TIMSS) study revealed that test scores from high school students were below average in mathematics and science. Studies show that part of it stem from the traditional methods of teaching rather than the standards based teaching. According to the No Child Left Behind (NCLB) act, students should…

The main purpose of the work is to present a successful implementation of CLIL method in Mathematics lessons in elementary schools. Nowadays at all types of schools (elementary schools, high schools and universities) all over the world every school subject tends to be taught in a foreign language. In 2003, a document called Action plan for…

"Shake, Rattle, & Roll" is a new program developed by The Actuarial Foundation with Scholastic, provides dynamic real-world math content designed to build student skills while showing students the relevance of math to understanding their world and planning for their future. Math skills are increasingly important for students. According to the U.S.…

A Chinese proverb suggests "Tell me and I'll forget; show me and I may remember; involve me and I'll understand." How to involve or engage today's learner is at the forefront of much educational research and was the impetus for the study reported herein. This study explored the perceptions of Year 4/5 students from nine separate schools…

Students write definitions or explanations of mathematical words or symbols in their own words. These can be collated and added to as the year progresses to form a class dictionary that all students can access as required, or students could create their own personal dictionaries. This article presents a collection of ideas for incorporating…

Pattern generalising problems offer a very rich context for exploring relationships among quantities, expressing generality and representing the same relationship in different ways. Selecting appropriate tasks for students to work on in class is by no means a straightforward process, but there are ways to handle it. This article aims to explore…

Data analysis may be a way to help bridge the gap between what students learn in school and their everyday experiences and concerns and thus to enrich their school experiences. This link is important when dealing with data analysis because "data are not just numbers, they are numbers with a context... in data analysis, context provides…

Few researches have been concerned about relation between children's spatial thinking and number sense. Narrowing for this small research, we focused on one component of spatial thinking, that is structuring objects, and one component of number senses, that is cardinality by determining quantities. This study focused on a design research that was…