Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

U.S. mathematics education has been criticized for being too broad. This article examines ways middle school students use simple problems and situations to foster a deeper understanding of underlying concepts. Presents a sample area and perimeter problem, describes extending the problem using tiles to determine minimum perimeter, and discusses…

Argues that current approaches to computer graphing practices are ill suited to meet the complex needs of real users. Offers an overview of work in two major areas of graphing theory and research: the sociology of science and the educational research of mathematics and scientific students. Suggests what technical communicators can do to improve…

Illustrates the use of auto- and biographical materials as part of a research process concerned with problematic aspects of learning science. Draws on an extended study of graphing among university students and research scientists, and on the autobiography and interview data from one of the authors to point out some of the sources of difficulties…

This article addresses the enhancement of the learning environment by using Java applets in the mathematics classroom. Currently, the first year mathematics program at the United States Military Academy involves one semester of modeling with discrete dynamical systems (DDS). Several faculty members from the Academy have integrated Java applets…

Forty-one students in two third grade classes, including special education students, participated in an action research project conducted jointly by two university supervisors, three teachers, and three student teachers. The "Minute Math" project involved students in predicting and graphing their test scores on a weekly conventional timed test of…

This study examines how task characteristics (the number of visual chunks and the amount of planning time) and test-taker characteristics (graph familiarity) influence the perceptual and cognitive processes involved in graph comprehension, the strategies used in describing graphs, and the scores obtained on the graph description task in a…

Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Play Ball! Explorations in Data Analysis & Statistics," which teachers can use to…

For decades, every chemical engineer has been asked to have a background in separations. The required separations course can, however, be uninspiring and superficial because understanding many separation processes involves conventional graphical methods and commercial process simulators. We utilize simple, user-­friendly mathematical software,…

Based on studies carried out on qualitative data an instrument was constructed for investigating how larger numbers of students handle graphics. This test, consisting of 18 pages, each with its own graphic display(s) and a set of tasks, was distributed to 363 students, 15-16 years of age, from five different schools. The format of the questions…

Concerns about students' difficulties in statistical reasoning led to a study which explored form five (14- to 16-year-olds) students' ideas in this area. The study focussed on descriptive statistics, graphical representations, and probability. This paper presents and discusses the ways in which students made sense of information in graphical…

Using literature in science instruction has the potential to increase student motivation and to improve student achievement in both literacy and science. The process of identifying high-quality picture books, however, can be challenging and time consuming for teachers. The authors identified 74 science-based picture books from the annual Teachers'…

In November 1996, the voters of Montgomery County approved by referendum an amendment to the County Charter that changed the County Council's review and approval cycle of the six-year Capital Improvements Program (CIP) from an annual to biennial cycle. The referendum specified that in odd-numbered fiscal years (on-years) the County Council would…

The 9th International Conference on Educational Data Mining (EDM 2016) is held under the auspices of the International Educational Data Mining Society at the Sheraton Raleigh Hotel, in downtown Raleigh, North Carolina, in the USA. The conference, held June 29-July 2, 2016, follows the eight previous editions (Madrid 2015, London 2014, Memphis…

Research has often found little or no significant differences in overall performance for math students using graphing calculators compared to traditional (non-calculator) classes. However, when performance is divided into procedural and conceptual levels, significant differences appear at the conceptual level. This study investigates the relation…