A within-subjects design was used to compare two instructional methods--explicit timing and interspersing--with 187 second-grade students. Students completed two mathematics word problem assignments under differing conditions. In the explicit timing condition, students were told they would be timed while working long mathematics word problems. In…

This article presents essential principles for mathematics instruction for students with disabilities and those who are at risk for school failure. These students have great difficulty in applying algorithmic knowledge to solve problems and even greater difficulty with abstract problem solving associated with higher level mathematics. A procedural…

This paper discusses some of the results of a study carried out with two classes of grade 7 students (11-12 years old); the aim of the project was to design, develop, and test interactive geometry tasks for use in future research into how (or whether) interactive applets help students learn mathematics. The study tasks were developed around the…

As a university professor who has taught at the teacher education, masters, and doctoral levels, the life of teaching has been an enduring interest, particularly teaching that occurs in K-12 settings. From the author's own work as a K-12 teacher and administrator to her earliest studies of effective teaching and in her own university teaching, she…

In the Fall 2001 semester, we taught a "Web-enhanced" version of the undergraduate course "Statistical Methods" ("STAT 2000") at Utah State University. The course used the electronic textbook CyberStats in addition to "face-to-face" teaching. This paper gives insight in our experiences in teaching this…

Variability stands in the heart of statistics theory and practice. Concepts and judgments involved in comparing groups have been found to be a productive vehicle for motivating learners to reason statistically and are critical for building the intuitive foundation for inferential reasoning. The focus in this paper is on the emergence of beginners'…

The current paper provides a description of instructional approaches for teaching mathematics to secondary students with learning disabilities (LD) and emotional disturbance (ED) within juvenile correctional schools. Recommendations for math instruction are based on a comprehensive review of the literature and examples are provided from an urban…

Parents are a largely untapped resource for improving the mathematics performance of American children, which lags behind the performance of children from other nations. The purpose of the research reported here was to assess homework practices in the home, and to examine interactions between mothers and their 5th grade children as they worked…

Recent developments about cognitions underlying mathematical learning are beginning to suggest that the activation and appropriate use of prior knowledge by students is, to a large measure, controlled by the quality of organisation of that knowledge. Thus, teaching needs to support the construction of well-connected mathematical knowledge. An…

Two hundred four (204) college students who had difficulties in both foreign language and math (FLD/MD), only math difficulties (MD), or only foreign language difficulties (FLD) were studied. Analysis of prevalence of presenting problems indicated that FLD and FLD/MD are relatively uncommon, compared to MD. Comparisons among the three groups…

By evoking the concept of memory pictures, the author recalls her early years as a teacher. Rather than calling herself a beginning teacher, she characterizes herself as a fledgling teacher to capture the insecurity associated with the first years of teaching. This experience is narrated through five memory pictures: (1) the new school's many…

This paper describes research into the beliefs and practices established over time by teachers, who had been engaged in an innovative "mathematical investigations" school program, based on the use of exploratory software. The theoretical framework perceives the teacher as an active mediator of innovation, constructing and reorganizing a…

Over the years, Ms. Lane's third grade mathematics classroom had become increasingly diverse. Challenged by the growing population of English Language Learners (ELL) and her need to change her teaching practice to meet their needs, Ms. Lane selected to study how best to teach one of her greatest challenges, Ana, a Latino ELL who also had a…

This article addresses some important issues in mathematics instruction at the middle and secondary levels, including the structuring of a district's mathematics program; the choice of textbooks and use of calculators in the classroom; the need for more rigorous lesson planning practices; and the dangers of teaching to standardized tests rather…

One of the most hotly contested issues in mathematics education today is the use of calculators in elementary schools. The National Council of Teachers of Mathematics (NCTM) has gone on record recommending the use of calculators in the earliest grades. NCTM's recommendation that calculators be introduced under the guidance of skilled teachers is…