Like English for speakers of other languages (ESOL) teachers, adult basic education (ABE)/high school equivalency (HSE) teachers of U.S.-born, L1-English-speaking learners must deliver instruction that effectively addresses a range of culturally influenced needs, perspectives, experiences, and knowledge in their classes. For this reason, several…

A recent review of research on virtual manipulatives (VMs), defined as technology-based interactive representations of mathematical ideas (Moyer-Packenham, & Bolyard, 2016), suggests strengths relative to other instructional tools in supporting student learning of mathematics (Moyer-Packenham & Westenskow, 2013). Researchers have…

Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners' views on how polygon pieces and dictionary mediate learning of…

Through the historical analysis of Dienes' works and through the suggestions of activities, the objective of this text is to understand the movement of systematization of knowledge for teaching and to teach classification, ranking, and ordination through the use of logical blocks during the Modern Mathematics Movement (1960-1980), a time of…

We describe a LEGO-compatible Internet of Things Technology (IoT) designed to enable elementary school students to learn about IoT by building their own smart, connected products. The Internet of Things is any network of physical devices that can share information over the internet. Using small, Wi-Fi enabled microprocessors, Grove sensors,…

The purpose of this article is to demonstrate how exponential functions and patterns can be taught by well-structured lessons composed of classroom activities, mathematical questions, discussions, and solving problems. Sawyer (1943) used a rope-and-post system to introduce the concept of logarithms and to calculate a product by adding the…

This article shares the importance of giving K-12 students opportunities to develop spatial sense. We explain how we designed Quick Blocks as an activity to engage our students in both spatial reasoning and number sense. Several examples of students thinking are shared as well as a classroom dialogue.

In this study, we examine how prospective teachers perceive the efficacy of manipulatives and if these perceptions relate to their future use of manipulatives and their mathematics self-efficacy. Survey responses from 97 preservice educators who had completed a mathematics method course indicate three essential findings. One, preservice teachers…

The grounding of cognition in embodied actions has resulted in both theoretical formulations of encoding of information and instructional applications of these encodings. Actions on objects typically occur within matched formats: physical actions on physical objects, virtual actions on virtual objects, or mental actions on mental objects. Instead,…

Introduction: Facility in graphics use is critical to accessing data visualizations in science, technology, engineering, the arts, and mathematics (STEAM) content areas. Efforts to understand the cognitive processes underlying strategic action by students with visual impairments must consider both metacognition and self-regulated learning.…

The global COVID-19 pandemic forced teachers to support students online in multiple academic subjects, including mathematics, including students with disabilities and those at-risk. And yet, to date, limited research exists examining teaching mathematics to students with disabilities online. The current study explored the use of the…

As teachers are faced with increasing demands to meet the needs of diverse learners, such as the growing number of students with ASD, the need to accommodate each learner and provide opportunities for individualized learning becomes critical. Therefore, the aim of this A-B single-case study was to explore a variety of support strategies (e.g.,…

On the basis of recent advances in battery research and technology, we have developed a novel laboratory exercise centered on an organic--inorganic battery using the redox chemistry of the organic molecule anthraquinone-2,7-disulfonic acid disodium salt (AQDS). Although most commercially available batteries are based on inorganic redox couples,…

Background: Beginning readers are typically introduced to enlarged print, and the size of this print decreases as readers become more fluent. In comparison, beginning blind readers are expected to learn standard-sized Braille from the outset because past research suggests letter knowledge cannot be transferred across different sizes of Braille.…

NMR is a fundamental part of any undergraduate chemistry degree, and training students how to measure and interpret NMR spectra is essential for postgraduate research or chemistry-based careers. Traditionally, the undergraduate laboratory experience with NMR is restricted to sample submission for NMR analysis, which is typically conducted by a…