Drawing inspiration from Parker Palmer and John Dewey, this essay explores the author's journey of learning to connect with his ninth-grade students in a summer study skills class. Using the metaphor of an "undercarriage," the author reflects on how he strengthened his capacity to endure classroom challenges. Through experimentation with…

Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…

In this article, Andy Lawrence returns to arguments made in "Teaching History 153" about the importance of teaching young people about other modern genocides in addition to the Holocaust. Building on those arguments with his own rationale, Lawrence also acknowledges the constraints on curriculum time that compel all departments to make…

This paper discusses two "GeoGebra" applets, "Radical" and "Parabola," that are designed to strengthen the conceptual understanding of specific topics in algebra. The design and pedagogical basis of the applets are presented. The integration of the applets in teaching Grade 9 mathematics in a partner high school in…

Student enjoyment is important when creating any unit, but teachers should also consider if an activity will enhance learning. In addition to being enjoyable, drama-based activities enrich learning by disrupting passivity, encouraging participation, and enhancing comprehension. This article showcases ways to include these activities in a unit…

The purpose of this article is to show how instruction that supports both mathematical learning (ML) and social and emotional learning (SEL) creates opportunities for equity. In fall 2020, the first author observed the co-authors, Ms. Wong and Mrs. Silverstein, providing instruction that supports ML and SEL in their hybrid ninth-grade algebra 1…

After watching his fifth-grade son perform in "The Taming of the Shrew," Ben Lathrop realized that having learned the play through performance, his son found the experience enjoyable. Moreover, his acting decisions (movements, gestures, vocal inflections) demonstrated that he had at least some understanding of his lines, suggesting that…

In order to discuss the role of mathematics education in developing students' STEM Capabilities and 21st Century skills, it is necessary to define what is meant by these terms given the extent to which they are broadly used in global contexts. A literature review aimed at providing clarity, through affording a concise interpretation of each term…

Current policy in England, informed by a version of cognitive science, enforces an absolute distinction between experts and novices, or teachers and learners; from this binary, operating in tandem with regimes of performativity instantiated in a curriculum shaped by high-stakes testing, are derived particular forms of pedagogy and particular…

Equivalence is a concept that comes up across the entire K-12 grade span and in many different areas of mathematics. Students who are bureaucratically designated as "English Learners" can explore equivalence across their K-12 academic careers while developing language to connect ideas. Drawing on what is known generally from theory and…

In this article, classroom researcher Harrison Campbell recounts his research into the literacy experiences of eight junior high (grades 8 and 9) students over the course of a school semester in Western Canada. Using phenomenological inquiry, Campbell invited students into a process of making meaning through experience. These experiences, brought…

Audiobooks have been growing in popularity over the last decade. Although researchers have increasingly recognised the value of audiobooks as rich multimodal texts that support literacy engagement in classrooms, there have been few detailed pictures of classroom practice related to audiobooks. In this practitioner narrative, a secondary English…

The article describes a science activity designed to increase students' knowledge and awareness of the spread of COVID-19. It helps students achieve scientific literacy through improving their views about the nature of science and their argumentation skills. It also promotes students' engagement in scientific practices such as modelling,…

Long before the "Next Generation Science Standards" ("NGSS") were formalized, sensors and other probeware engaged students in science and engineering practices (Metcalf and Tinker 2004). A new generation of probeware based on modern Internet of Things (IoT) technologies is beginning to expand the ways that students can…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…