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…

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 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…

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.

If you were to walk into this second-grade classroom during reading workshop, you would notice students reading books specific to their reading level and interest. You would also notice students using different tools to support their reading development. One of the teacher's goals is to help students become independent readers who are able to…

In this paper I discuss the possibilities for exploring the hundred chart kinesthetically with elementary preservice teachers using a life-size hundred chart--an innovative tool, homemade from a shower curtain--to build quantity sense. Preservice teachers explored creative approaches to teach mathematics using the life-size hundred chart and…

Clip charts have been a common classroom strategy for many years. Once considered an effective tool for displaying behavioral progress and adherence to classroom rules, they may not be as helpful as once thought. In this practice brief, we describe how such strategies are inconsistent with a PBIS [Positive Behavioral Interventions and Supports]…

Students frequently struggle to understand the differences among various types of organizational structures and how these differences affect organizational processes and outcomes. In the exercise described in this article, students are given a list of jobs from a medical rehabilitation center and asked to create an organizational chart. Students…