A simple in-class demonstration of integral Calculus for first-time students is described for straightforward whole number area magnitudes, for ease of understanding. Following the Second Fundamental Theorem of the Calculus, macroscopic differences in ordinal values of several integrals, [delta]"F"(x), are compared to the regions of area…

Quadcopters (also known as "drones") do not fly in vacuum. This is obvious enough that experimenting on one in a vacuum chamber would seem rather uninteresting, but there is one question that may be usefully addressed by such an experiment: the mechanism for yaw control. Quadcopters control yaw (rotation about the vertical axis) by…

In 2013, the Intergovernmental Panel on Climate Change (IPCC) released its fifth report, attributing 95% of "all" climate warming--from the 1950s through today--to humans. Not only did the report--like previous IPCC reports dating back to 1990--accredit global warming to anthropogenic carbon dioxide emissions, but over time the vast…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

Numeracy in schools is becoming an increasingly important part of mathematics learning and teaching. This is because educators want students to engage with mathematical concepts more deeply, use mathematics to make sense of their environment and make decisions that are based on the analysis of mathematical information. In order to be numerate,…

Working with evidence is a fundamental part of scientific enquiry. Children should be taught to consider evidence and evaluate it. They should make simple comparisons, comparing what happened with what they expected to happen, and try to explain what happened through drawing on their knowledge and understanding. In this article, the author…

Language and the telling of data stories have fundamental roles in advancing the GAISE agenda of shifting the emphasis in statistics education from the operation of sets of procedures towards conceptual understanding and communication. In this paper we discuss some of the major issues surrounding story telling in statistics, challenge current…

The Composite Indicator of Changes (CIC) in average salaries and wages paid by public school systems is designed to reflect overall changes, to compare salary trends among various categories of personnel, and to analyze salary trends in an individual school system and among groups of school systems. Annual updates of the CIC are computed from data…