Technology integration in K-12 mathematics has received increased attention in the last decade as new mathematical technologies have been developed and implemented more often. There is a need for further research on these technologies and for effective implementation practices of technology in mathematics education in general. in practice,…

At the turn of this century, expectations for learning mathematics by students with Down syndrome were low. Research and practice continued to indicate considerable difficulty with number and calculation (Bird & Buckley, 2001). Unfortunately, most authors extrapolated difficulty with number to difficulty with mathematics in general, even…

Calculators are widely used in mathematics education, yet limited research examines the effects of calculators for students with mild intellectual disability. An alternating treatments design was used to study the effects of calculator types (i.e., scientific and graphing) on the mathematical performance (i.e., computation and word problems) of…

In this paper a two-stage research study is described focused on problem solving relevant to place-value and on the use of the operations within the calculator environment. The findings show that in this specific environment and via appropriate tasks teachers are provided with a context to better understand what year 5 or 6 pupils know or do not…

We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by first-grade teachers in the United States and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered,…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

All common fractions can be written in decimal form. In this Discovery article, the author suggests that teachers ask their students to calculate the decimals by actually doing the divisions themselves, and later on they can use a calculator to check their answers. This article presents a lesson based on the research of Bolt (1982).

American students continue to struggle on measures of student achievement. This study employed Hierarchical Linear Modeling to estimate a two-level model and examine the influences of calculator use and teachers' instructional practices on student achievement in mathematics amongst first-grade students. The outcome variable was mathematics test…

People remember information better if they generate the information while studying rather than read the information. However, prior research has not investigated whether this generation effect extends to related but unstudied items and has not been conducted in classroom settings. We compared third graders' success on studied and unstudied…

National tests, an influential assessment practice in many countries in East Asia, are often blamed as obstacles to good instructional practices. In this paper, the positive impact of assessment, national tests in particular, is discussed using the case of Singapore. The first part of the paper includes an analysis of items from the primary grade…

Technology is a natural part of education for all students across a variety of subjects, including mathematics, as educators work to prepare students for tomorrow's work force and align their curriculum and teaching with national standards such those developed by the National Council of Teachers of Mathematics (NCTM, 2000). This article reviews…

This reprinted article from the November 1976 issue of "Arithmetic Teacher" describes a series of calculator games suitable for all levels from kindergarten through calculus.

Presents reasons for students' use of calculators in math class and techniques for encouraging their optimal use. Many educators suggest that calculators free students from concentration on computation and enable them to concentrate on problem solving. The article includes product information. (SM)

Suggestions for using handheld calculators are given. Students can invent and check their own problems. The calculator can debug problems, provide practice, aid in developing concepts of place value, decimals, order of operations, powers of a number, and evaluation of formulas. (KM)

Taking advantage of calculators involves becoming knowledgeable about the research on calculators, recognizing intangible benefits of calculator use, developing an open calculator policy, allowing students to explore with calculators, never requiring calculator checks of paper-and-pencil computations, using standardized tests designed for…