Leading on from a paper published in the previous edition of the "AMEJ" (Kissane, 2023), which looked at scientific calculators and irrational numbers, Barry Kissane now turns his attention to the attributes of modern calculators as environments for learning about rational numbers.

The objective of this research is to study if the use of the calculator decreases students' anxiety in the subject of differential and integral calculus. Specifically, the research is carried out with 30 engineering students. Auzmendi anxiety factor questions are used to measure anxiety. The study is carried out in two moments; in the first the…

In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and…

This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…

A survey of 21 free online buffer calculators and apps found only 2 that correctly calculated pH under conditions where [H[superscript +]] and [OH[superscript -]] cannot be ignored in the ratio term of the Henderson-Hasselbalch equation. Traditional guidelines for when use of formal concentrations is acceptable were found to be flawed. For acidic…

Based on the sociocultural theory of learning and distributed cognition, using learning aids should benefit students' performance, as learning aids can compensate for a lack of knowledge or skills and reduce strain on short-term memory. The present study investigated the use of a diverse set of learning aids in Grade 8 of vocational education in…

Informal Australian discussion suggests that calculators are still widely regarded as devices for calculation, consistent with their naming, and are rarely recognised as potentially helpful to support students learning mathematics. In this paper, Barry Kissane explores some of the ways in which modern calculators might support students learning…

We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…

Single case experimental designs are an important research design in behavioral and medical research. Although there are design standards prescribed by the What Works Clearinghouse for single case experimental designs, these standards do not include statistically derived power computations. Recently we derived the equations for computing power for…

This exploratory study investigated the behaviors and content of onscreen calculator usage by a nationally representative sample of eighth-grade students who responded to items from the 2017 National Assessment of Educational Progress mathematics assessment. Meaningful features were generated from the process data to infer whether students…

In this study, the effect of using on-screen calculators on eighth grade students' performance on two TIMSS 2019 Problem Solving and Inquiry Tasks items considered as examples of technology-enhanced items administered on computers was examined. For this purpose, three logistic regression models were run where the dependent variables were giving a…

In spite of the proliferation of educational technologies, teacher surveys have indicated relatively low levels of technology integration in mathematics lesson delivery in Ghanaian Senior High Schools. This study examined how Senior High School mathematics teachers use the available technology resources in their pedagogy in Ghana. Drawing on the…

This paper's objective was to teach the Equivalence Testing applied to Educational Research to emphasize recommendations and to increase quality of research. Equivalence Testing is a technique used to compare effect sizes or means of two different studies to ascertain if they would be statistically equivalent. For making accessible Equivalence…

The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

Technological resources in secondary education have had problems in their implementation, especially in public institutions, this has caused teachers to keep traditional learning methodologies, with minimal alternatives to use active methodologies due to the limited access to Information and Communication Technologies (ICT). The present research…