The purpose of this study is to investigate whether or not students' understanding of mathematical content typically covered in calculus courses is enhanced by using the TINspire CAS instead of the TI-89. The study was conducted over two phases at a mid-size university in the northeastern United States in Calculus I and Accelerated Calculus I. In…

It is often claimed that technology can be used as a tool that can facilitate teaching and learning and contribute to learners' achievement. This article reports on a study about how KwaZulu-Natal mathematics teachers use, access and integrate technology in the teaching and learning of mathematics. A questionnaire containing closed and Likert…

One of the foundational principles of the Smarter Balanced Assessment Consortium (Smarter Balanced) system is accessibility for students -- multi-tiered resources and strategies that ensure equitable and valid access for students to instructional and assessment content. This Guide includes 54 accessibility strategies that can be used by teachers,…

Students exhibit a variety of test-related behaviors before and during the American College Testing (ACT®) test. Previous ACT research has identified associations between test-related behavior and ACT test performance. For example, test preparation has been shown to be associated with modest ACT Composite score gains on the second ACT testing…

Even though a school in Southern Virginia had been utilizing a variety of manipulatives, calculators, and computers to transition students through the concrete-representational-abstract (CRA) sequence; students did not meet the state proficiency requirement on the standardized math assessment. A qualitative descriptive case study design, grounded…

It seems that calculators continue to be misunderstood as devices solely for calculation, although the likely contributions to learning mathematics with modern calculators arise from other characteristics. A four-part model to understand the educational significance of calculators underpins this paper. Each of the four components (representation,…

This article argues that mathematical knowledge, and its related pedagogy, is inextricably linked to the tools in which the knowledge is expressed. The focus is on digital tools and the different roles they play in shaping mathematical meanings and in transforming the mathematical practices of learners and teachers. Six categories of digital…

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…

Attention to equity in the mathematics education field has been growing in recent years. We have evidence that many novice secondary mathematics teachers do not feel prepared to teach in regards to diverse populations. We need to know more about how secondary preservice mathematics teachers (PSMTs) conceptualize equitable environments. This study…

The ability to solve mathematical problems related to purchasing and personal finance is important in promoting skill generalization and increasing independence for individuals with moderate intellectual disabilities (IDs). Using a multiple probe across participant design, this study investigated the effects of modified schema-based instruction…

The Gravity-Powered Calculator is an exhibit of the Exploratorium in San Francisco. It is presented by its American creators as an amazing device that extracts the square roots of numbers, using only the force of gravity. But if you analyze his concept construction one can not help but recall the research of Galileo on falling bodies, the inclined…

The purpose of this study was to investigate the ways that teachers use connected classroom technology (CCT) in conjunction with the Texas Instruments Nspire calculator to potentially support achievement on Algebra problems that require translation between representations (i.e., symbolic to graphical). Four Algebra I classrooms that initially…

PQcalc is an online calculator designed to support students in college-level science classes. Unlike a pocket calculator, PQcalc allows students to set up problems within the calculator just as one would on paper. This includes using proper units and naming quantities strategically in a way that helps finding the solution. Results of calculations…

Smartphones and tablets are packed with sensors that allow us to take experimental data, essentially making them mobile physics labs. Apps exist that make it easy to capture and analyze data from these sensors, allowing users to study diverse phenomena such as free fall acceleration, the speed of sound,radioactivity, and many others. Commonly, the…

Among computational methods, DFT (density functional theory) and TD-DFT (time-dependent DFT) are widely used in research to describe, "inter alia," the optical properties of transition metal complexes. Inorganic/physical chemistry courses for undergraduate students treat such methods, but quite often only from the theoretical point of…