K-12 schools were severely impacted by the COVID-19 pandemic, forcing them to adopt online teaching strategies. This study filled a research void by investigating how high school math teachers view online teaching and learning. It expanded online learning research by exploring more high school experiences and offered insight into the experiences…

Collaboration is an underused teaching strategy despite its benefits and the call for curriculums worldwide to increase its use. To aid in discovering why the strategy is underused, more information was needed about the implementation of collaboration in the mathematics classroom. The purpose of this study was to investigate mathematics teachers'…

Typically, departments and universities evaluate and/or provide feedback to college mathematics instructors on their teaching by conducting classroom observations. When these observations are guided by an observation protocol, the protocol provides a particular lens that focuses the observer's attention on certain aspects of instruction. To…

Contributing to research on undergraduate students' thinking about problem solving tasks, the present study reports on students' reasoning about two initial-value problems i.e. first-order linear ordinary differential equations with initial conditions. A qualitative analysis of task-based interviews and work written by 34 students revealed that…

Educational escape rooms (ER) are an instructional activity designed to incorporate many elements of recreational ERs, which have become popular in recent years. There are many reasons to consider incorporating educational ERs into K-12 math instruction or after-school programs/camps. First, they are highly motivating for students because they…

Core Maths (CM) qualifications were introduced into the post-16 curriculum in England in 2014, with first assessments in 2016. They are a suite of qualifications aimed at students who achieve a grade 4 (originally a grade C) or higher at GCSE Maths but do not go on to take AS or A level Maths. This group comprised around 40% of all students in…

Mathematics is a core academic subject, regardless of grade level or setting. Everyone uses mathematics in their everyday life, so being competent in basic mathematics is critical to independent living. One thing teachers can do to ensure learners are learning the mathematics concepts being taught is to diagnose and remediate the errors they are…

In this "Perspective on Practice," we describe how we interpreted, built on, and adapted the design principles shared in "The Content-Focused Methods Course: A Model for Integrating Pedagogy and Mathematics Content" by Steele and Hillen (2012). Using evidence of learning from that report as a foundation, we provide insights…

This qualitative study examined how prospective mathematics teachers attend to, interpret, and respond to student misconceptions through providing them a video-case-based professional development environment. A sample of 30 prospective teachers attending an elective course was asked to watch video cases about student misconceptions related to the…

Students' attitudes can be influential in the emotions experienced in mathematics learning and achievement at school. Two important judgements, according to Control-Value Theory are degree of control a student has over, and the value attached to, learning activities or outcomes. Appraisals of control and value are believed to play a central role…

Language is a conduit for communicating and understanding mathematical ideas. In this article, the authors describe how literacy relates to modes of reading, writing, speaking, and listening. They then share a strategy for supporting student literacy in mathematics--judicious telling--and provide examples of what this approach looks like in the…

This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.

Although reading homework is common in university courses, compliance rates vary. Using interviews, this study explored how five students responded to reading assignments in their introductory college mathematics classes and how they viewed reading and reading-related activities relative to their academic successes. Qualitative content analysis of…

We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals of developing an understanding of mathematics content and an…

This study examined the relationship between mathematics achievement and epistemic actions. Cognitive actions that are observed as outcomes of using intellectual resources are referred to as epistemic actions in this study. We focused on four epistemic actions as follows: "selecting," "analyzing," "computing," and…