We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties,…

Background: There is a considerable body of evidence to suggest that behavioural activation for depression is an equally effective but less complex treatment than cognitive behavioural therapy. It may therefore be more suitable for those who are cognitively impaired (i.e. early-stage dementia or mild cognitive impairment) or have a learning…

Young children naturally engage in mathematics as they play and explore. Although many early childhood educators are aware that children are frequently interacting with mathematical ideas, a certain level of knowledge and awareness is required to identify and highlight the mathematics that children are engaging in and to create opportunities for…

Mathematics needs to take on a real-world quality, and students need to be able to identify and connect the value of what they are learning within the classroom to life outside the classroom. Creating a connection between the mathematics learned within a classroom and its value to life in the outside world is critical to effectively engage…

Equity is an important element of educational discourses pertaining to mathematics and science education. Creativity is an aspect of the classroom that is often ignored due to curricular constraints and the burden of testing. However mathematics offers avenues to infuse the regular curricula with activities that are thought provoking and require…

Developing character strengths such as kindness and perseverance are just as crucial as academics for today's learners. This article describes how the author and the classroom teacher worked one-on-one with a third grade class to teach such attributes. Approximately once a month the classroom teacher and the author taught lessons on kindness,…

Prior to the recycling process, raising awareness of plastic waste impact, e.g., polluting oceans worldwide, is undoubtedly a first attempt to tackle this pandemic environmental issue. With this in mind, the presented practical session is an effort to entice an interdisciplinary audience of science undergraduates toward a sustainable future. The…

In some math classrooms, students are taught to follow and memorize procedures to arrive at the correct solution to problems. In this article, author Mike Flynn suggests a way to move beyond answer-getting to true problem solving. He describes an instructional approach called three-act tasks in which students solve an engaging math problem in…

Solving non-routine problems is one of the most important skills for the 21st century. Traditional paper-pencil tests cannot assess this type of skill well because of their lack of interactivity and inability to capture procedural data. Tools such as MicroDYN and MicroFIN have proved to be trustworthy in assessing complex problem-solving…

Working in small groups to solve problems is an instructional strategy that allows university students in science, technology, engineering, and mathematics disciplines the opportunity to practice interpersonal and professional skills while gaining and applying discipline-specific content knowledge. Previous research indicates that not all group…

Digital games have demonstrated great potential for supporting students' learning across disciplines. But integrating games into instruction is challenging and requires teachers to shift instructional practices. One factor that contributes to the successful use of games in a classroom is teachers' experience implementing the technologies. But how…

The different ways microscale and green chemistry allow reducing the deleterious impacts of chemistry on human health and the environment are discussed in terms of their different basic paradigms: green chemistry follows the ecologic paradigm and microscale the risk paradigm. A study of the synthesis of 1-bromobutane at macro- ? microscale (109.3…

In 1881, Donald MacAlister posed a problem in the "Educational Times" that remains relevant today. The problem centers on the statistical evidence for the effectiveness of a treatment based on a comparison between two proportions. A brief historical sketch is followed by a discussion of two default Bayesian solutions, one based on a…

We recently developed the "Framework of Achievement Bests" to explain the importance of effective functioning, personal growth, and enrichment of well-being experiences. This framework postulates a concept known as "optimal achievement best," which stipulates the idea that individuals may, in general, strive to achieve personal…

Purpose: The purpose of this paper is to profile the development of a bicycle parking hub at the University of Tasmania to illustrate how the Academic Operations Sustainability Integration Program promotes real change through the engagement of stakeholders from across an institution to deliver campus sustainability. This case study outlines one…