Sets of models of molecules (which are of interest for teaching molecular structure, symmetry, and related topics in many chemical disciplines) were prepared and made available either for self-directed 3D-printing or through the 3D-printing company Shapeways providing 3D-printing as a service. This allows teachers to save time on searching for…

In the field of technology and engineering education, educators are limited by their inability to predict what is coming; as the saying goes, they are preparing their students for jobs that do not even exist yet. Two adaptive approaches can help prepare students for this uncertainty: (1) teaching broad skills that can be applied in new situations;…

An open-source repository of basic building block models design files for writing chemical formulas, equations, and ionic states are provided. Writing chemical symbols, molecules, and ions in their correct oxidation state or valency in chemical equations is an essential and integral part of learning. For a visually impaired student, it is very…

This case study focused on the robotics learning process of Mark (a pseudonym), a Latino-American second grader diagnosed with autism spectrum disorder. Drawing on Polanyi's (Personal knowledge: towards a post-critical philosophy [Kindle version], 1958/2015) notion of "tacit knowing" and "dwelling in tools," we attempted to…

Although teachers are expected to teach with technology, they often are not prepared or supported to do so (Albion, Tondeur, Forkosh-Baruch, & Peeraer, 2015), a critical issue in mathematics education (Wilson, 2008). The study described in this article investigated why and how secondary mathematics teachers implemented virtual manipulative…

This study examined parent-child math talk within three contexts (formal learning; guided play; unguided play) in order to identify characteristics of activities supporting high-quality math engagement. Seventy-two dyads of parents and 4- and 5-year-olds were observed using a set of toy foods; instructions and materials varied across conditions.…

Research demonstrates students with attention-deficit hyperactivity disorder (ADHD) and other attention difficulties benefit from using tools to expend energy in positive, socially acceptable means while not distracting others. Tactile fidgets may assist with self-regulated behaviors. This study examined the effectiveness of using hand and foot…

An experiment for the undergraduate organic chemistry laboratory involving a method for the isolation of eugenol from cloves has been developed. The experiment employs microwave-assisted extraction (MAE) of the essential oil from whole cloves using aqueous ethanol and the subsequent isolation of eugenol by acid-base extraction. The MAE allows for…

Background: Teaching using manipulatives is emphasised, especially in the early grades, to help learners conceptualise operations on whole numbers. Therefore, teachers' competencies in using manipulatives is the key in helping learners master these basic operation skills. Aim: Drawing from the literature on using manipulatives to improve learners'…

In this study, effects of 2 physical manipulative instructions on students' geometrical knowledge acquisition were compared. Geometry topics' presentation was conducted via using physical manipulative and the practice stage in two different forms: (1) practice consisting of problems supported with explicit metacognitive questions and (2) practice…

This paper offers insight into teachers' perspectives on the role of manipulatives in the mathematics classroom on either side of the primary to post-primary transition (sixth class teachers in Irish primary schools and first year mathematics teachers in post-primary schools) to examine if discontinuities exist around their usage. The transition…

Abundant prior research has compared effects of physical and virtual manipulatives on students' conceptual learning. However, most prior research has been based on conceptual salience theory; that is, it has explained mode effects by the manipulative's capability to draw students' attention to conceptually relevant (visual or haptic) features.…

The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

Three game examples using L-shaped tri-cubes in alternative arrangements are presented. Each game example challenges you to think who might win, and what alternative playing strategies could be implemented to change the final outcome.

This article investigates the potential of utilizing technology to apply Lesh's representations for teaching mathematical concepts. Lesh's model includes written symbols, verbal symbols, real life situations, pictorial representations, and concrete representations. The author suggests that, with the wealth of technological applications, teachers…