The very nature of algebra concerns the generalization of patterns (Lee 1996). Patterning activities that are geometric in nature can serve as powerful contexts that engage students in algebraic thinking and visually support them in constructing a variety of generalizations and justifications (e.g., Healy and Hoyles 1999; Lannin 2005). In this…

Often, students who solve fraction tasks respond in ways that indicate inadequate conceptual grounding of unit fractions. Many elementary school curricula use folding, partitioning, shading, and naming parts of various wholes to develop children's understanding of unit and then nonunit fractions (e.g., coloring three of four parts of a pizza and…

The systematic use of reinforcers is an essential component of behavioral intervention for individuals diagnosed with Autism Spectrum Disorder. Today, the use of rigorous formal preference assessments, including paired-preference assessments, are widely conducted to help determine which items to use as reinforcers during intervention. Although…

This paper examines the process of instrumental genesis through which students develop their proficiency in making use of movable points and slider bars--two tools that dynamic mathematics software provides for working with variable coordinates and parameters in the field of functions. The paper analyses students' responses to task sequences…

This paper explores how a young child (56 m) builds an understanding of the cardinality principle through communicative, touchscreen-based activities involving talk, gesture and body engagement working via multimodal, touchscreen interface using contemporary mobile technology. Drawing upon Nemirovsky's perceptuomotor integration theoretical lens…

This 5E cycle of lessons takes students through a fun and thorough study of Silly Putty's properties, progressing from an initial observation of a "melting snowman" toy in the Engage phase to making and "marketing" their own homemade putty in the Evaluate phase. Along the way, students use evidence to construct their own…

A current emphasis on teaching conceptual chemistry via the particulate nature of matter has led to the need for new, effective ways to assess students' conceptual understanding of this view of chemistry. This article provides a simple, inexpensive way to use interlocking toy building blocks (e.g., LEGOs) in both formative and summative…

This dissertation presents three papers centered on understanding how we might learn using the body to learn. The data for these papers is drawn from classroom data where 2nd graders (N = 17) learn about particle behavior by engaging with the Science Through Technologically Enhanced Play (STEP) simulation. The first paper focuses on how two…

This paper provides historical insights and educational background of Froebel's Gifts, hands-on materials developed in the early 19th century. Based on an explorative study with 54 German children (aged 5 to 10) in 2016, we first took steps to explore how these materials meet the demands for early mathematics learning of primary children. Starting…

In mathematics, there is conceptual and procedural knowledge. Conceptual knowledge is about ideas or mathematics understanding but procedural knowledge is about procedure to solve mathematics problems. Multisensory approach involve many senses like kinaesthetic, visual and auditory to gain knowledge. This research aims to find information about…

Some mathematics concepts, especially geometry, have not been understood well by students. The current curriculum in Indonesia strongly recommends the use of manipulatives in mathematics learning. However, the presence of manipulatives only cannot guarantee the students could construct their knowledge of concepts. This research aims to find out…

Virtual Manipulatives (VMs) are computer-based, dynamic, and visual representations of mathematical concepts, provide interactive learning environments to advance mathematics instruction (Moyer et al., 2002). Despite their broad use, few research explored the integration of VMs into mathematics instruction (Moyer-Packenham & Westenskow, 2013).…

The essence of molecular biology education lies in understanding of gene expression, with subtopics including the central dogma processes, such as transcription and translation. While these concepts are core to the discipline, they are also notoriously difficult for students to learn, probably because they cannot be directly observed. While nearly…

The purpose of this study was to explore relationships between app affordances and user abilities in second graders' interactions with mathematics virtual manipulative touchscreen tablet apps. The research questions focused on varying manifestations of affordance-ability relationships during children's interactions with mathematics virtual…

This paper describes the design principles and implementation of a novel approach for a K--12 teacher professional development (PD) program. The approach integrates training focused on development of model eliciting activities (MEAs) within authentic engineering design tasks, collaborative 3D model design and fabrication, and inspirational site…