In this article, the authors introduce and illustrate a new activity that involves "follow-up equations," which are equations that follow up on ideas children have already expressed when solving fraction story problems. Specifically, teachers pose story problems and purposely attend to fraction ideas that arise in children's strategies…

In this article, the authors (a mathematics educator and a literacy educator) offer a framework to engage students with mathematics and children's literature through a read-aloud experience in which teacher and students engage with the text while problem solving. The authors describe the narrative-first approach as a strategy during which the…

The instructional rationale behind critical pedagogy is to provide students the opportunity to voice their personal stories and opinions, and to reflect and act upon social concerns relevant to their daily lives. Students can then practice being agents of transformation in their own lives, starting in the classroom. This paper is based on the…

Over the past few years, the author and her colleagues have been engaged in a teaching and research project that explores what it means to "connect math to the real world" and how to effectively design and implement mathematics lessons that integrate real-world, sociopolitical issues with mathematics in elementary classrooms.…

The practice of statistics has the power to motivate and support learning across the STEM (Science, Technology, Engineering, and Mathematics) disciplines. When connected with meaningful science contexts, statistical problem solving through the collection of data and subsequent data analysis, supported by contemporary graphing technology, presents…

The overwhelming presence of a procedural meaning of equality and equations reported in previous research has led to a call for suitable pedagogical interventions to nurture a relational meaning of these concepts. This paper is a response to that call. Drawing on the theory of objectification, the first part deals with the configuration of a Grade…

A new classification for semantic structures of one-step word problems is proposed in this paper. The classification is based on illustrations of word problem situations in Common Core State Standards (CCSSM, 2010) and related historical studies (e.g. Weaver, 1973, 1979, 1982), as well as conceptual elaborations of embodied and grounded nature in…

Use of high-probability request sequences is a low-intensity intervention for increasing student compliance. There are several subtleties in implementing high-probability request sequences that make the process more complex. Review of supporting research raises concerns about how well the intervention translates into practice. This article…

Connecting literacy to social issues such as gender stereotypes supports reading and writing achievement while also allowing students to think critically and in justice-focused ways. Such practices allow students to critique gender stereotypes in texts while also examining and even challenging their own implicit perceptions of gender. However,…

The mathematics education community has affirmed the importance of writing in the mathematics classroom for a long time (e.g., National Council of Teachers of Mathematics [NCTM], 2000, 2014), and many examples exist of writing strategies or activities in mathematics learning (e.g., Altieri, 2009; Bixby, 2018; Carter, 2009; Gunter, 2016; Linhart,…

Premack principle, often referred to as Grandma's law, describes how individuals will perform an arduous or undesirable activity if given access to a desirable activity after the completion of the original task. Premack discovered that highly preferred restricted activities in and of themselves can be reinforcing when preceded by activities that…

This article presents a set of "work-sharing routines," which teachers can use to broaden their repertoire of using student work, with an eye toward cultivating students' belonging. The authors define work-sharing as using actual mathematical student work, ideally from students in the class, to facilitate learning. Although there are…

Typically, vocabulary instruction is associated as part of reading instruction. However, vocabulary instruction is also a necessary component of mathematics instruction. In fact, state and national standards (e.g., Common Core State Standards) require elementary students to communicate about mathematics to provide clear explanations, construct…

Students with persistent and significant challenging behaviors can sometimes be grouped into specific special education classrooms or even specialized schools based on specific disability categories. This practice presents both opportunities and challenges from a school psychologist's perspective. While this approach can allow for more focused…

Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…