This study investigated relations between the distribution of practice problems in textbooks and students' learning of decimal arithmetic. In Study 1, we analyzed the distributions of decimal arithmetic practice problems that appeared in 3 leading math textbook series in the United States. Similar imbalances in the relative frequencies of decimal…

The purpose of this qualitative, single-case study was to examine teachers' perceptions of using guided notes to improve the proficiency rate of middle-grade students in mathematics number systems. This study was conducted in one school system in North Carolina where students were failing to meet the state standards for mathematics achievement at…

As technology becomes more advanced, it becomes more tempting for teachers to integrate it into their lesson planning. Although technology can be beneficial to student learning, there are issues that arise as barriers during this integration of technology into the classroom. Some of these barriers include students becoming distracted and using the…

The purpose of this case study was to explore the nature of instructors' gestures as they teach Euclidean transformations in a synchronous online setting, and to investigate how, if at all, the synchronous online setting impacted the instructors' intentionality and usage of gestures. The participants in this case study were two collegiate…

Students often see mathematics as a hard subject because they have to rely on logic, mathematical theories of equations, proofs, and some of math concepts that are difficult to understand, which contributes to students' poor performance and low motivation to learn math. Therefore, the purpose of this quantitative study was to investigate the…

Mathematics concepts in early childhood education are often predictors later outcomes for student success, because mathematics is a foundational area of academics. The purpose of the research is to engage educators in conversations regarding experiential learning opportunities in early mathematics through curriculum planning and instructional…

Task selection is a critical element of mathematics teaching because mathematical tasks differ in the mathematical opportunities made available to students. Thus, it is important to examine both the tasks that PSTs chose and why they were chosen. This study examines the task selection of 10 pre-service teachers (PSTs) in a middle grades…

This paper explores the ethics of the mathematics teacher, starting from the ethical obligations that all human being and professionals share towards those in their care. Most notably this involves a duty of care for students, since teachers can be the most influential persons after their parents. The ethics of mathematics teaching is analysed as…

U.S. students have consistently demonstrated poor performance in spatial reasoning in standardized testing (e.g., National Assessment of Educational Progress). One possible reason is students' lack of conceptual understanding of measurement concepts (length, area, volume, capacity). This paper describes different ways that mathematics textbooks…

This article reports on a project which involved introducing challenging tasks in the early years' classrooms of twenty Victorian primary schools. The obstacles teachers encountered and how they overcame those obstacles are discussed.

This article describes Ulrich Kortenkamp's Place Value Chart app and the accompanying teacher guide developed by the members of an international research team led by regular contributor Kevin Larkin.

Purpose: The purpose of this paper is to report findings from a systematic literature review that explore how recent research on instructional leadership has addressed the role of mathematics and science instruction. Design/methodology/approach: Using Hallinger's (2014) approach to conducting systematic reviews, the review included 109…

Co-teaching is an instructional teaching model that provides an opportunity for students to receive instruction in the least restrictive environment. An extensive literature review was completed in order to identify best practices and effective co-teaching practices in mathematics classrooms. A clearly defined purpose for co-teaching and selecting…

In this work we critically examine a mnemonic designed for the pedagogy of first-order ordinary differential equations. The particular mnemonic takes the form of the SHIELDS acronym. We perform a critical analysis on mnemonics, outlining some of their benefits and limitations from the literature. As a result, we propose a general mnemonic model…

The benefits of engaging students in mathematics classroom dialogue have been highlighted (and advocated) in a large body of research studies, most of which were conducted in Western cultural contexts. Whether such research advocacy can be extended legitimately to encompass practice in classrooms situated in other cultural contexts, such as East…