Objective: Determine whether the ACSM walking equations, which calculate caloric expenditure, were accurate for college-aged males and females. Participants: Between 2011 and 2016, 100 college-aged males, 20.24 ± 2.0 years old, and 100 college-aged females, 20.8 ± 1.3 years old, volunteered to participate. Methods: Participants walked on a…

"Kyouzaikenkyuu" (translated as "instructional materials research") is said to be a crucial part of successful Japanese lesson study. "Kyouzaikenkyuu" is described as the planning portion of the research lesson during lesson study. "Kyouzaikenkyuu" is also said to be done on a daily basis by Japanese…

This paper utilizes poststructural theory to analyze student artifacts that were collected from a history of mathematics course. The course was designed to counter three types of mathematical narratives, relating to: 1) race, 2) intelligence, and 3) innateness. To address these narratives, the course highlighted the contributions of communities of…

We are interested in understanding how university students learn to use programming as a tool for "authentic" mathematical investigations (i.e., similar to how some mathematicians use programming in their research work). The theoretical perspective of the instrumental approach offers a way of interpreting this learning in terms of…

This study investigates pre-service elementary teachers' mathematical knowledge in teaching for length measurement. More specifically, this study compares the foundation and transformation knowledge of pre-service elementary teachers from Turkey and the United States. The current study examines similarities and differences between them by applying…

Understanding large number data is essential for making sense of real-world problems. For the research reported here, our intent was to find connections between quantitative cognitive science studies and our prior qualitative study about participants' understanding of the relative size of large numbers. While all 23 cognitive science research…

Teachers who are married to other teachers within a school district often experience their personal life events in full view of the school community. How should a principal respond when a math teacher wants to leave due to her divorce, knowing that math teachers are hard to find? Challenges in this case for campus principals and human resource…

When performing regression analysis, one way to examine the normality of data is to screen outliers. Outliers, on the other hand, do not always have an effect on regression results. In reality, cases with a large amount of residuals that affect regression analysis results are referred to as influential cases. It is important to detect them in the…

The problem of low attainment in mathematics has been an increasingly prominent feature of the policy discourse in England over the last 60 years; however, evidence from comparative studies indicates that little progress has been made in finding a solution. In this paper, we analyse the changing policy discourse of low attainment in mathematics…

Wollack et al. (2015) suggested the erasure detection index (EDI) for detecting fraudulent erasures for individual examinees. Wollack and Eckerly (2017) and Sinharay (2018) extended the index of Wollack et al. (2015) to suggest three EDIs for detecting fraudulent erasures at the aggregate or group level. This article follows up on the research of…

This paper reports on the potential for engaging students in an activity that considers the interconnectedness of the five Big Ideas of Statistics in the context of conducting random trials. In the study, two classes of Year 6 students (aged 11-12 years) used "TinkerPlots" to determine the sample space of a "Mystery Spinner."…

This study examined adults' frequent, efficient and adaptive use of direct subtraction (DS) and subtraction by addition (SBA) in mental multi-digit subtraction with the choice/no-choice method. Participants were offered subtractions in one choice condition (choice between DS and SBA) and two no-choice conditions (mandatory use of either DS or…

The uniformly most accurate (UMA) is an important optimal approach in interval estimation, but the current literature often introduces it in a confusing way, rendering the learning, teaching and researching of UMA problematic. Two major aspects cause this confusion. First, UMA is often interpreted to maximize the accuracy of coverage, but in fact,…

Children with Down Syndrome (DS) can experience a number of difficulties in mathematics but one relatively unexplored area is that of being able to discriminate between quantities; an important foundational skill for later learning. This study examines whether children with DS can make judgements about relative quantity in the context of a card…

If the Australian government is going to reach its target of 40% of 25-34-year-olds attaining a bachelor degree by 2025, it is critical that enabling courses are properly situated to bridge the gap between the alarmingly low numeracy of the adult population, and the mathematical or quantitative literacy (QL) required for undergraduate study. Yet,…