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…

As I approach my 70th year in physics, let me tell my younger colleagues about my adventures with computation. When I was 14, my father gave me a slide rule because I appeared to be headed toward a career in physics. Since then, I have had experience with many other calculating devices.

This study uses "Critical Race Theory," "Settler Colonialism," and "Critical Whiteness Studies" to frame how property is recognized only under the auspices of whiteness. In the college algebra classroom, this is born out through white entitlement, racialized senses of sharing, and resource allocation. This study uses…

Despite growing enrollment of university students with disabilities, they have not achieved academic parity with their non-disabled peers. This study matched 71 first-year university students with disabilities and students without disabilities on three variables: high school average when admitted to university, gender, and program of study. Both…

This paper provides a set of five indicators of CAS use, which provide a means to analyse a student's written solution to determine whether they used CAS for solving a given problem. These indicators provide a way for researchers and teachers to determine CAS use without requiring classroom observation or the explicit recording of extra…

Students with disabilities often struggle with grade-level mathematics without appropriate support and accommodations. This study compared the performance of middle school students with disabilities on computational-based mathematics assessments when they had access to calculators and when they did not. Using a single-case ABAB design, data were…

The goal of this study is to explore and characterize the effects of using a dynamic graphing utility (DGU) on conceptual understanding and attitudes toward mathematics, measured by the responses of college algebra students to an attitude survey and concepts assessment. Two sections of college algebra taught by the primary researcher are included…

There are many available technologies that can assist future teachers to deliver instruction. The purpose of this paper is to provide a brief review of literature identifying available technology tools in mathematics education and which technologies are selected by PSTs to design mathematics lesson activities. The most commonly used and available…

This paper examines experimental and algorithmic contributions of advanced calculators (graphing and computer algebra system, CAS) in teaching the concept of "diagonalization," one of the key topics in Linear Algebra courses taught at the undergraduate level. Specifically, the proposed hypothesis of this study is to assess the effective…

Using Mathematical Modelling has become a useful tool in teaching-learning mathematics at all levels. This is so because mathematical objects are seen from their very applications, giving them meaning from the beginning. In this paper we present some details on the development of a teacher's training course called Modelling in the Teaching of…

This study investigated students' use of electronic support tools within a computer-based mathematics program. Electronic support tools are tools, such as hyperlinks or calculators, available within many computer-based instructional programs. A convenience sample of 73 students in grades 4-6 was selected to participate in the study. Students…

The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…

The introduction of linear functions is the turning point where many students decide if mathematics is useful or not. This means the role of parameters and variables in linear functions could be considered to be "threshold concepts". There is recognition that linear functions can be taught in context through the exploration of linear…

This report, the 20th edition of "Technology Counts," examines how schools are tackling tech training for teachers, "passive" vs. "active" use of digital tools, and online learning needs. Contents include: (1) Tracking 20 Years of Change in Ed Tech (Kevin C. Bushweller); (2) Poor Students Face Digital Divide in How…

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'…