Current research shows that digital games can significantly enhance children's learning. The purpose of this study was to examine how design features in 12 digital math games influenced children's learning. The participants in this study were 193 children in Grades 2 through 6 (ages 8-12). During clinical interviews, children in the study completed pre-tests, interacted with digital math games, responded to questions about the digital math games, and completed posttests. We recorded the interactions using two video perspectives that recorded children's gameplay and responses to interviewers. We employed mixed methods to analyze the data and identify salient patterns in children's experiences with the digital math games. The analysis revealed significant gains for 9 of the 12 digital games and most children were aware of the design features in the games. There were eight prominent categories of design features in the video data that supported learning and mathematics connections. Six categories focused on how the design features supported learning in the digital games. These categories included: accuracy feedback, unlimited/multiple attempts, information tutorials and hints, focused constraint, progressive levels, and game efficiency. Two categories were more specific to embodied cognition and action with the mathematics, and focused on how design features promoted mathematics connections. These categories included: linked representations and linked physical actions. The digital games in this study that did not include linked representations and opportunities for linked physical actions as design features did not produce significant gains. These results suggest the key role of mathematics-specific design features in the design of digital math games. Highlights  Children made significant learning gains when using 9 of the 12 digital math games  Children's awareness of the mathematics in digital math games impacted learning  Eight categories of game design features supported children's learning  Learning gains were tied to design features that linked representations to the mathematics  Learning gains were tied to design features that linked physical actions to the mathematics

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Purpose This paper aims to be a think piece that promotes discussion around the design of coding toys for children. In particular, the authors examine three different toys that have some sort of block-based coding interface. The authors juxtapose three different design features and the demands they place on young children learning to code. To examine the toys, the authors apply a framework developed based on Gibson’s theory of affordances and Palmer’s external representations. The authors look specifically at the toys: interface design, intended play scenario and representational conventions for computational ideas. Design/methodology/approach As a research team, the authors have been playing with toys, observing their own children play with the toys and using them in kindergarten classrooms. In this paper, the authors reflect specifically on the design of the toys and the demands they place on children. Findings The authors make no claims about whether one toy/design approach is superior to another. However, the differences that the authors articulate should serve as a provocation for researchers and designers to be mindful about what demands and expectations they place on young children as they learn to code and use code to learn in any given system. Research limitations/implications As mentioned above, the authors want to start a discussion about design of these toys and how they shape children's experience with coding. Originality/value There is a push to get coding and computational thinking into K-12, but there is not enough research on what this looks like in early childhood. Further, while research is starting to emerge on block-based programming vs text-based for older children and adults, little research has been done on the representational form of code for young children. The authors hope to start a discussion on design of coding toys for children.

The purpose of this study was to examine shifts in young children's learning progression levels while they interacted with virtual manipulative mathematics apps on touch-screen devices. A total of 100 children participated in six mathematics learning sequences while using 18 virtual manipulative mathematics touch-screen apps during clinical interviews. Researchers developed a micro-scoring tool to analyze video data from two camera sources (i.e., GoPro camera, wall-mounted camera). Our results showed that it is possible to document evidence of shifts in children's learning progressions while they are interacting with mathematics apps on touch-screen devices. Our results also indicated patterns in the children's interactions that were related to the shifts in their learning progression levels. These results suggest that an open-ended number of tasks with a variety of representations and tasks at varying levels of difficulty led to children refining their understanding and shaping their concept image of mathematical ideas resulting in incremental shifts in learning. The results of this study have important implications about how mathematical tasks in touch-screen apps may prompt children's incremental learning progression shifts to occur, and thereby promote opportunities for learning. We propose that design features in mathematics apps can be created to support and encourage these learning shifts.

The study reported here examined virtual manipulatives as an instructional treatment in 17 third-and fourth-grade classrooms. Students were randomly assigned to two treatment groups: texts and physical manipulatives (PM), and virtual manipulatives (VM). Results revealed no significant differences in achievement between the treatments. Additional results showed that objective ability predicted fraction achievement; virtual manipulative use can be modulated by test question type (e.g., symbolic vs. pictorial); percentage of class time using representations differed between VM and PM classrooms; and percentage of class time spent using representation types differed, potentially providing differential opportunities to learn.

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