This design research investigated the mathematical practices that eight graders (14-year-old students) developed when learning about prisms, cylinders, and their surface areas. An inquiry-based learning environment was created for students to engage in argumentation. The instruction was enriched by use of a dynamic geometry software, namely…

Researchers point out that more educational research is needed to study students' understanding of trigonometric topics. The present research attempts to study a group of three high-achieving eleventh grade students' realization of trigonometric words and narratives associated with the sine function. The learning of the students was video recorded…

Mathematics is an important subject in senior high education as it forms the basis for most taught subjects. In Ghana, it is a common practice to find parents enrolling their children in private after-school mathematics tutorials. Teachers who teach after-school tutorials usually organize class after school hours or during the weekends for a fee.…

In this brief article, Peter, Larissa and Doug present a single-page scaffold that challenges us to think of the mathematical proficiencies in a whole new way. By thinking of the proficiencies as verbs, they can be seen as purposeful learner actions and offer clues as to what it might mean to be a mathematician.

Connections is one of the Process Standards set forth by the National Council of Teachers of Mathematics (NCTM 2000), whereby teachers provide students with learning opportunities to "recognize and apply mathematics in contexts outside of mathematics." Similarly, the Standards for Mathematical Practice (NGA Center and CCSSO 2010) call…

When a student struggles with a mathematics task, adults may rephrase or expand initial task instructions to clarify instructions or scaffold problem solving. Yet expanded instructions may not benefit all children, especially children with a mathematics learning disability (MLD). Here, we explore whether expanded instructions differentially affect…

Arithmetic skills are without a doubt integral to a student's success or failure in first-semester general chemistry. The MUST (Math-Up Skills Test) is a powerful tool for assessing a student's arithmetic logic and therefore serves as a great predictor for at-risk students. Early math reviews at the start of the semester are thought to help…

Professional noticing is a specific set of skills that can be applied whether the teacher is in the process of formatively assessing or generally teaching a lesson. This article provides a framework for integrating professional noticing into teachers' practice as a means to support instructional decisions. An illustrative example is included based…

Dude Perfect has one of the most popular YouTube channels in the United States. The task in this article is one of several activities the author has integrated into mathematics lessons in ways that engage students and that are connected to Dude Perfect videos (Stohlmann 2019). The author describes how he planned and implemented purposeful…

Teacher education is central to the development of the professional knowledge of pre-service teachers. The main goal of this paper is to reflect on the development that the analysis (done by a group of pre-service secondary teachers) of a set of tasks, based on elements related to domains of KTMT--"Knowledge for Teaching Mathematics with…

The purpose of this study is to investigate if information and communications technology (ICT) helps improve students' achievement in geometry regarding solids' nets. Our research compares the achievement of the students in the experimental group taught using our ICT intervention to students in the control group taught by traditional teaching…

Digital technologies such as multi-representational tools have the potential to enhance the learning of mathematics. In light of this potential, there is a ubiquitous call to integrate such tools into mathematics teaching. However, these technologies are still underused. Teaching with technology is not an easy task and teacher competencies such as…

This study compares two hypnoteaching models used to teach students mathematics. Due to the increase in the use of these models, further vigorous studies are needed to verify their effects. This is a quasi-experiment research conducted to compare the use of the hypnoteaching model using three classes of students. The first, second, and third…

Background/Context: Teachers face many different problems in teaching. Traditionally, research examines the complexity of teaching students and content by focusing on a teacher's physical space and influencing factors therein. While established conceptions of curricular enactment suggest that instructional materials shape both the intended and…

When discussing mobile learning (or M-Learning), many educators tend to focus on the affordances of the technology. In this article, the authors feature the M-Learning Framework as a way to view the effective use of mobile devices. The framework includes three key features: (1) authenticity; (2) personalization; and (3) collaboration. These…