Positioned within Indigenous and ecological discourses, our paper reconsiders human-centered relationships with earth and activities such as STEM that view earth as commodity, resource, and platform. In doing so, we turn to the ways earth (e.g., rivers, forests, animals) teaches mathematics education for "STEM as place" and reveals…

The main part of this dissertation study consists of a survey of the types of articles (e.g., articles based on qualitative research, articles based on quantitative research, theoretical articles, etc.) that appear between 2016 and 2021 in five of the leading mathematics education journals (N = 1,317). In addition, for the articles that carry out…

We examined what and how experienced (mentor coaches) and novice coaches (coach participants) noticed as they analyzed a vignette of a coaching interaction between a coach and a teacher. We modified the van Es (2011) Learning to Notice Framework for a coaching context to analyze What and How coaches notice. We collected data from ten mentor…

In this article, the author shares two investigations that relate the variables of height and volume using different contexts. Each of the investigations surfaced unfinished learning for students, regardless of their starting place, and facilitated growth in understanding of measurement and algebra. The Functions and Volume of Vases task…

The purpose of this article is to identify, from the plethora of journals dedicated to publishing research in the field of mathematics education, in general, and from mathematics education's 'Group of Seven', in particular, what I call the Math Ed Majors. In order to do so, I look to men's professional golf, and men's major golf championships.…

The focus in this paper is on the analysis of student-centered discourse through applying a discourse analysis tool that I developed to analyze data from an elementary mathematics classroom. The purpose of the analysis tool is to understand the impact of the complex learning system on the emerging classroom discourse. The minimum conditions for…

This article examines the role that replication research has played in the development and refinement of mathematics interventions for learners with extensive support needs. By highlighting 16 research studies, we seek to inform stakeholders of lessons learned and knowledge gained through replication. These studies show that when given…

The school system in both the Republic of Ireland [ROI] and Northern Ireland [NI] is configured to accommodate children into discrete educational bands at different stages on their learning journey. Research has consistently shown that the transition from primary to post-primary, which typically occurs between the ages of 11 and 13, is the most…

Justification skills should be fostered in teaching mathematics as they are highly related to effectiveness in problem solving. However, pre-service mathematics teachers do not always have the necessary skills in using mathematically convincing language and justifying their solutions. Thus, they should be introduced to a variety of instructional…

In this paper a didactic proposal is presented which consists of a methodology aimed at secondary level mathematics teachers, the aim of this proposal is to provide the teacher with a tool to design teaching sequences in order to take them to the classroom; These designs have the particularity of incorporating digital technology for the…

The author discusses fixing the "Iceberg Problem" of gaps and unfinished learning lurking beneath the surface of math students. Math is cumulative, with new learning resting atop earlier mastery. Year by year, students learn interconnected concepts in a coherent progression, building a foundational body of knowledge that undergirds new…

This multi-method case study explored the actual and perceived mathematical growth, as measured by the counting and measuring, problem writing tasks (CaMPWTs) and focus student interviews respectively, of fifth graders at Catherine Elementary Middle School as they completed tasks designed specifically to scaffold the development of a set of math…

In this article, the authors discuss two ways of improving the rigour and integrity of mathematics in STEM programs drawing on examples from their research. The authors examine how mathematics can be made a stronger part of a STEM unit using examples from two pairs of teachers engaged in a STEM teacher professional development program, conducted…

A simple forward approach for solving linear Diophantine equations is presented, which does not involve using backward substitutions. It is suitable for teaching undergraduate students as an alternative to the backward substitution method commonly described in mathematics textbooks.

This study utilizes the Cartesian Connection and the action, process, object, and schema (APOS) theory to investigate how preservice mathematics teachers constructed and justified graphs of two-variable inequalities. The analysis shows that most teachers were not equipped with the skills and knowledge that were prerequisites for action, process,…