Building activities can be used any time in the school year in mathematics classes to promote problem solving, perseverance, and to develop students' spatial thinking. Spatial visualization skills are the "ability to mentally manipulate, rotate, twist, or invert a pictorially presented stimulus object." The authors were guided by the…

This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…

In this article, we present an educational proposal designed to work on spatial geometry and three-dimensional thinking with students in the last years of Primary Education. The proposal is comprised of several activities that combine the use of a classroom videogame and working with manipulative materials to create a representation of the…

Encouraging students' ability to reason can be looked at through the lens of both oral and written representations. In 2022, the author participated in the first intake of the Teacher Excellence Program run by the Victorian Teaching Academy. Being part of an in-depth professional learning program challenged the author's teaching practices to focus…

The standby wooden blocks that are prevalent in most high-quality early childhood classrooms are missing from most primary and elementary grades. The goal for block play in early childhood is to support learning in mathematics, science, art, literacy and language arts, physical development, social studies, and social and emotional growth. This…

Building on the definition of steamers (a tasty hot milk-infused drink), we defined STEAMMERS as "a blend of diverse talents, going beyond domain-specific to domain-integrated abilities. Like steamers, they have a rich and colorful 'flavor'!" They are passionate about solving problems they and others face by honoring and blending diverse…

Developing students' strengths while teaching the content required by national and state standards in science, technology, engineering, and mathematics (STEM) is challenging for classroom teachers. In the Cultivating Diverse Talent in STEM (CDTIS) project, the assessment results found in strength-based reports gave teachers the tools needed to…

In this article I share student and teacher experiences of forest walks (in Finnish: Metsäkävely) as a form of outdoor education in a Finnish special education school in a hospital setting. I was the teacher of these students in the hospital school setting, and so was an insider researcher, and teacher as researcher, undertaking…

In a recent theoretical article, I proposed that the efficiency of mitochondrial functioning is the most fundamental biological mechanism contributing to individual differences in general intelligence ("g;" Geary, 2018). The hypothesis accommodates other contributing mechanisms at higher levels of analysis (e.g., brain networks), and is…

The visual method in this paper solves linear inequalities in one variable by considering them initially as two competing linear expressions, each of which is then expressed as a linear equation. When the solution of these two linear equations exist, it is viewed as a highlighted area or a line. These linear equations convey the intended visual…

The purpose of this article is to report how Year 6 teachers used geometric reasoning tasks to foster students' mathematical attitudes and dispositions by encouraging communication as students constructed mathematical meaning for themselves. The Year 6 teachers implemented two tasks to provide a rich mathematical assessment opportunity…

It can be difficult to navigate the tasks of repertoire selection and part assignments in a way that produces a successful performance product while also being educationally beneficial to all students. However, researchers have explored methods of ensuring these goals through repertoire selection. In this article, I present ideas for how educators…

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

We describe how a group of secondary mathematics teachers posed and solved a real-world problem. The problem was posed by teachers on a sandbar off the coast of an island in the Bahamas, where panoramic views of water meeting sky spurred the teachers to wonder how far away they could see. We analyze how the teachers translated the natural…

This is a study of my dramatized narrative based on a true story of what took place in a mathematics class in an international school setting. My narrative includes the exploration of a mathematical "mistake" and the discovery of newly emergent problems. The drama, commentary, and reflections provide a close examination of the conduct…