One classroom using two units from a "Standards"-based curriculum was the focus of a study designed to examine the effects of real-world contexts, delays in the introduction of formal mathematics terminology, and multiple function representations on student understanding. Students developed their own terminology for y-intercept, which was tightly…

Over the years the technology behind displaying the image of the unit circle has changed, but the defining features remain constant. The key question for the author as a teacher is this: are the relationships embodied in the image simple, memorable and rich enough to be grasped by any KS3 student at his school? It needs to be simple enough to…

This paper describes a "hands-on task" called Number Tiles, which is Task 43 in the collection constructed for the Mathematics Task Centre Project, and available at www.blackdouglas.com.au or www.curriculum.edu.au. This task is rich in possibilities and directions. It should be used as a planned curriculum experience at several year levels to…

The National Science Foundation's (NSF's) Math and Science Partnership Program (MSP) promotes the development, implementation, and sustainability of exemplary partnerships to produce high-quality math and science education at all K-12 levels. The MSP Program anticipates that the partnerships will be instrumental in improving student achievement,…

This final article focuses in particular on the engagement of year 8 students who were taught trigonometry using dynamic geometry software ("Geometer's SketchPad"), as outlined in "MT214" and with resources from the ATM website. The project was implemented in three different classrooms in two different, multiracial,…

Group activities are an excellent way to enhance learning. When students are actively involved in a relevant project, understanding and retention are improved. The proposed activity introduces a timely and interesting project typical of the type encountered in statistical practice. Using the computer to successfully developing an appropriate model…

The goal of this study was to explore the long-term effects of all-day kindergarten programs on children's academic performance. The study used three waves of data from a nationally representative database from the United States, the Early Childhood Longitudinal Study (ECLS), with the first wave at the beginning of kindergarten and the third wave…

In this article, the author shares how she successfully engaged families with mathematics. She also suggests ways to incorporate mathematics activities into established family-school events to connect parents, students, and mathematics. (Contains 3 figures.)

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

The purpose of this article is to present a collection of problems that allow students to investigate magic squares and Latin squares, formulate their own conjectures about these mathematical objects, look for arguments supporting or disproving their conjectures, and finally establish and prove mathematical assertions. Each problem is completed…

This paper provides students with many interesting observations regarding the nature of magic squares, magic rectangles, and quasi-magic squares and provides tools for teachers to group students into ability-balanced cooperative learning groups.

This article describes how to incorporate problem-solving investigations in a fourth-grade classroom within a structured and rigid mathematics program.

In 2004, the U.S. Department of Education's Policy and Program Studies Service contracted with SRI International and its partner, Policy Studies Associates, to undertake an evaluation of the 21st Century Community Learning Centers. The following evaluation questions informed this study: (1) What is the nature of activities in centers that are…

This article provides detailed analysis, from a radical constructivist perspective, of a sequence of letter-writing exchanges between a preservice secondary mathematics teacher and a high school student. This analysis shows the ways in which the preservice teacher gained understanding of the high school student's mathematics and attempted to pose…

Measurement is a mathematics skill students encounter often in their daily lives. The act of measuring involves the use of concrete, hands-on materials that students find engaging and appealing. According to Martinie (2004), the best way to teach measurement "is to find or create situations in which students need to measure and let them…