This article summarizes research conducted on calculator block items from the 2007 fourth- and eighth-grade National Assessment of Educational Progress Main Mathematics. Calculator items from the assessment were categorized into two categories: problem-solving items and noncomputational mathematics concept items. A calculator has the potential to…

An iPad® can be used to teach students to graph parabolas with ease and grasp vocabulary quickly. Parabolas come to life for students in this easily implemented activity described in this article. Teachers can use this tool in a fun and interactive way to not only address these graphing and vocabulary concepts but also introduce and explore…

Since the 1990s, computer algebra systems (CAS) have been available in Australia as hand-held devices designed for students with the expectation that they will be used in the mathematics classroom. The data discussed in this paper was collected as part of a pilot study that investigated first year university mathematics and statistics students'…

In early 2001, to support an internal evaluation of the impact of changing exclusion rates on reports of statistically significant gains across states, the National Center for Education Statistics (NCES) sponsored research on imputation procedures of National Assessment of Educational Progress (NAEP) scores for the excluded students and provided…

This note points out that realized compound yield (RCY) has a similar concept from capital budgeting; namely, modified internal rate of return. Recognizing this relationship makes it easier to teach the concept and allows students to easily compute RCY using a financial calculator.

The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…

Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one…

The concept and importance of curriculum integration in Science and Mathematics has come to the fore in the recent years (Czerniak, 2007). Ireland's Science and Mathematics performance is well documented and extensively reported in the media and elsewhere (e.g. Expert Group on Future Skills Needs, 2008; Task Force on the Physical Sciences, 2002).…

While bootstrapping is a computationally intensive procedure, teaching about the concept does not necessarily require any more technology than a simple calculator. This article describes an interactive teaching approach for introducing bootstrapping without using a statistics program or a computer.

The purpose of this study was to determine if there was a significant difference in scores on the Mississippi Algebra I SATP2 when one group was allowed to use programs and the other group was not allowed to use programs on TI-84 calculators. An additional purpose of the study was also to determine if there was a significant difference in the…

This experiment tested the effect that calculator use had on 200 randomly assigned college students' mathematical performance. The purposes of the current experiment were twofold: to measure the level of mathematical preparation of current college students, and to test whether calculators improve mathematical performance in such students as it…

Previous research on calculator use in standardized assessments of quantitative ability focused on the effect of calculator availability on item difficulty and on whether test developers can predict these effects. With the introduction of an on-screen calculator on the Quantitative Reasoning measure of the "GRE"® revised General Test, it…

Inclusion and differentiation--hallmarks of the current educational system--require a paradigm shift in the way that educators run their classrooms. This article enumerates the need for techno-kinesthetic, visually based activities and offers an example of a calculator-based programming activity that addresses that need. After discussing the use…

Science, technology, engineering and math (STEM) advocates commonly emphasize an interdisciplinary, authentic, project-based, and technology-based approach to learning, though the strength of prior research varies. This study examines the association between a range of classroom activities and academic performance gains in math and science. Using…

This paper explores the potential of mobile devices to support novel forms of mathematics classroom activity. In particular, I consider two salient aspects of contemporary practice with mobiles--networking/communication, and picture taking--and explore technology designs that might exploit their potential for supporting related forms of…