School communities in both urban and rural settings need trauma-informed (TI) supports; however, the adversities experienced and access to student supports may be unique to rural school communities. In addition, the contextual challenges experienced by rural schools and communities, as well as the strengths that can be drawn from them, will…

An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of…

Geometrography, "alias the art of geometric constructions" was proposed by Emile Lemoine between the late 1800s and the early 1900s. It consisted originally of a system to measure the complexity of ruler-and-compass geometric constructions, capable of: designate every geometric construction by a pair of values that manifests its…

In this paper, we derive an equation for the distance covered by a free-falling body as a function of time valid for any arbitrary distance. The equation, interestingly, yields exactly the time according to the Kepler's third law in the limiting case of very large distance compared to the radius of the Earth. The equation, of course, reduces to…

The sociological imagination is a core component of all introductory sociology courses. A main focus of this perspective is how social forces are related to individual lives. Undergraduates are often socialized to rely on individualistic explanations of public issues. These explanations often blame, dehumanize, and other the victim, thereby…

Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

The need for methods, techniques and approaches that we can develop high-level thinking skills in important activities increases day by day in order to achieve effective use of technology and change in information and communication technologies. In particular, the diversity, complexity of technical skills and to gain technical skills required to…

The mathematics education field recognizes the importance of noticing children's mathematical thinking as a means for supporting children in learning mathematics (Sherin et al. Mathematics teacher noticing. Routledge, New York, 2010). Using the existing literature base around teachers' knowledge of children's mathematical thinking and…

The "cold open" is a literary technique that can be usefully adapted for management education, particularly as an opening exercise on the first day of class. Specifically, this approach includes presenting a carefully chosen problem to the class without preamble, providing students an opportunity to work on the problem, and perhaps most…

A lack of alignment between professional practice and education has triggered the move to alternative educational models, often with detailed scripts and templates to be followed. Among these are variants of problem/case-based models, where learners are challenged to achieve professionally desired learning outcomes and acquire knowledge and skills…

The mathematics standards for many countries include teaching and learning ratios, typically with efficient algorithms and strategies (Australian Curriculum: Mathematics, Assessment and Reporting Authority, 2017; National Council of Teachers of Mathematics, 2014). In the 1990s, Cramer and Post (1993) claimed that school mathematics mostly involves…

This editorial introduces a special section of the "Journal of Learning Analytics," for which Neil Selwyn's keynote address to LAK '18 has been written up as an article, "What's the problem with learning analytics?" His claims and arguments are engaged in commentaries from Alfred Essa, Rebecca Ferguson, Paul Prinsloo, and…

Understanding the proof problem is necessary in the development of geometric proof in schools. This paper discusses findings from a qualitative case study which explored the mathematical work done by teachers in helping students to understand geometric proof problems. Data were generated from two teachers through video-recorded observations of 30…

There are challenges in teaching research methodology as highlighted by many researchers. Among the challenges are strategies for putting material in context. For achieving this purpose, students' engagement in the learning process needs to be re-looked. This paper shares on a practice engaging students in a research methodology class. The…

In the technology classroom, practical problem-solving activities require interaction between teacher and students. To explore these interactions, we use Joint Action Theory of Didactics (JATD). Joint actions occur within a didactical system where teacher, students and content are understood as an undividable whole. Of particular interest is how…