The analysis, calculations and graphical charts presented here in this paper are based directly on a recently published paper by the first two of the above-named authors. In the present paper, it is clearly demonstrated that all of the following nine (or eleven including the centripetal acceleration and total mechanical energy) principal physical…

Data interpretation can be difficult. Data visualization techniques from the manufacturing industry make interpretation easier. Control charts display trends in context, so it is clear when performance is truly changing and when it is not. Decision makers know when to act, when to maintain, and when to celebrate. This article discusses the use of…

Developing students' mathematical knowledge is the key focus of stakeholders involved in mathematics education. At the senior secondary level, for students' undertaking calculus-focused courses, teachers expect students to be fluent in applying procedures related to junior level content and understand the nature of mathematics as a web of…

Challenging behavior can impact the learning environment and prevent educators and students from demonstrating behavioral and academic success. Schools and districts may implore a framework of tiered systems of support to respond to students struggling behaviorally or academically. These systems provide a decision-making process to aid educators'…

The formulation of the periodic system by the Russian Mendeleev was followed by the surprising discovery of gallium by the Frenchman de Boisbaudran. The Englishman Ramsay's explanation of an 'impurity' in air led to recognition of a new period. A young fellow countryman, Moseley, justified the expected existence of 92 elements. A German couple,…

This is the fourth in a series of statistical articles for mathematics teachers. In this article, the authors discuss topics in General Mathematics in Unit 2 Topic 1 (Univariate data analysis and the statistical investigation process) and topics in Essential Mathematics, Unit 2 Topic 1 (Representing and comparing data).

In this paper, the main purpose is to describe the development and use of three flowcharts for identifying types of isomers and naming coordination compounds. The first flowchart is designed to help students identify the type of isomers between the two coordination compounds. The second one is is designed to identify the type of stereoisomerism.…

In addition to the third edition of EUA's Autonomy Scorecard, which was published in March 2023, a series of country profiles were released between Autumn 2023 and Spring 2024. The comprehensive analysis of all indicators in these systems revealed that in some cases there was a need for a different categorisation of specific situations. While the…

The authors of this article describe three student-driven learning modules developed from their respective College Fed Challenge courses. These activities are ready-to-apply in a wide range of courses to facilitate adoption without a large time commitment. In the "Pick a Policy Maker" module, students gain an understanding of the…

In this article, James presents the Extended Hundreds Chart, a task he used with Year 6 students to explore their thinking about and representations of negative numbers.

Using the layout described here (which could be photocopied or handwritten), students can see how the periodic table was first envisaged after finding similarities in the properties of common elements. Then, with more discoveries some gaps were filled and, when additional elements did not fit, new groups had to be included.

Nomographs (or nomograms, or alignment charts) are graphical representations of mathematical relationships (extending to empirical relationships of data) which are used by simply applying a straightedge across the plot through points on scales representing independent variables, which then crosses the corresponding datum point for the dependent…

Over the past 20 years, root cause analysis (RCA) has become one of the most widely used retrospective methods for detecting safety hazards in medicine and healthcare. Despite its wide use in management practice and growing popularity in academic research, there is currently a dearth of coverage of RCA in popular healthcare management textbooks…

This article provides an in-depth look at how K-12 students should be introduced to Machine Learning and the knowledge and skills they will develop as a result. We begin with an overview of the AI4K12 Initiative, which is developing national guidelines for teaching AI in K-12, and briefly discuss each of the "Five Big Ideas in AI" that…

This article describes Ulrich Kortenkamp's Place Value Chart app and the accompanying teacher guide developed by the members of an international research team led by regular contributor Kevin Larkin.