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  1. Aldrich, Jonathan; Silva, Alexandra (Ed.)
    Tools such as Alloy enable users to incrementally define, explore, verify, and diagnose specifications for complex systems. A critical component of these tools is a visualizer that lets users graphically explore generated models. As we show, however, a default visualizer that knows nothing about the domain can be unhelpful and can even actively violate presentational and cognitive principles. At the other extreme, full-blown custom visualization requires significant effort as well as knowledge that a tool user might not possess. Custom visualizations can also exhibit bad (even silent) failures. This paper charts a middle ground between the extremes of default and fully-customizable visualization. We capture essential domain information for lightweight diagramming, embodying this in a language. To identify key elements of lightweight diagrams, we ground the language design in both the cognitive science research on diagrams and in a corpus of 58 custom visualizations. We distill from these sources a small set of orthogonal primitives, and use the primitives to guide a diagramming language called Cope-and-Drag (CnD). We evaluate it on sample tasks, three user studies, and performance, and find that short CnD specifications consistently improve model comprehension over the Alloy default. CnD thus defines a new point in the design space of diagramming: a language that is lightweight, effective, and driven by sound principles. 
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    Free, publicly-accessible full text available January 1, 2026
  2. CODAP is a widely-used programming environment for secondary school data science. Its direct-manipulation–based design offers many advantages to learners, especially younger students. Unfortunately, these same advantages can become a liability when it comes to repeating operations consistently, replaying operations (for reproducibility), and also for learning abstraction.In response, we have extended CODAP with CODAP Transformers, which add a notion of functions to CODAP. These provide a gentle introduction to reuse and abstraction in the data science context. We present a critique of CODAP that justifies our extension, describe the extension, and showcase some novel operations. Our extension has been integrated into the CODAP codebase, and is now part of the standard CODAP tool. It is already in use by the Bootstrap curriculum. 
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    Free, publicly-accessible full text available December 10, 2025
  3. This paper presents the design ofForge, a tool for teaching formal methods gradually. Forge is based on the widely-used Alloy language and analysis tool, but contains numerous improvements based on more than a decade of experience teaching Alloy to students. Although our focus has been on the classroom, many of the ideas in Forge likely also apply to training in industry. Forge offers aprogression of languagesthat improve the learning experience by only gradually increasing in expressive power. Forge supportscustom visualizationof its outputs, enabling the use of widely-understood domain-specific representations. Finally, Forge provides a variety oftesting featuresto ease the transition from programming to formal modeling. We present the motivation for and design of these aspects of Forge, and then provide a substantial evaluation based on multiple years of classroom use. 
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