This Research Advanced by Interdisciplinary Science and Engineering (RAISE) project is supported by the Division of Research on Learning in the Education and Human Resources Directorate and by the Division of Computing and Communication Foundations in the Computer and Information Science and Engineering Directorate. This interdisciplinary project integrates historical insights from geometric design principles used to craft classical stringed instruments during the Renaissance era with modern insights drawn from computer science principles. The project applies abstract mathematical concepts toward the making and designing of furniture, buildings, paintings, and instruments through a specific example: the making and designing of classical stringed instruments. The research can help instrument makers employ customized software to facilitate a comparison of historical designs that draws on both geometrical proofs and evidence from art history. The project's impacts include the potential to shift in fundamental ways not only how makers think about design and the process of making but also how computer scientists use foundational concepts from programming languages to inform the representation of physical objects. Furthermore, this project develops an alternate teaching method to help students understand mathematics in creative ways and offers specific guidance to current luthiers in areas such as designing the physical structure of a stringed instrument to improve acoustical effect.
The project develops a domain-specific functional programming language based on straight-edge and compass constructions and applies it in three complementary directions. The first direction develops software tools (compilers) to inform the construction of classical stringed instruments based on geometric design principles applied during the Renaissance era. The second direction develops an analytical and computational understanding of the art history of these instruments and explores extensions to other maker domains. The third direction uses this domain-specific language to design an educational software tool. The tool uses a calculative and constructive method to teach Euclidean geometry at the pre-college level and complements the traditional algebraic, proof-based teaching method. The representation of instrument forms by high-level programming abstractions also facilitates their manufacture, with particular focus on the arching of the front and back carved plates --- of considerable acoustic significance --- through the use of computer numerically controlled (CNC) methods. The project's novelties include the domain-specific language itself, which is a programmable form of synthetic geometry, largely without numbers; its application within the contemporary process of violin making and in other maker domains; its use as a foundation for a computational art history, providing analytical insights into the evolution of classical stringed instrument design and its related material culture; and as a constructional, computational approach to teaching geometry.
This project is funded by the National Science Foundation's (NSF's) Advancing Informal STEM Learning (AISL) program, which supports innovative research, approaches, and resources for use in a variety of learning settings.
AHA! Island is a new project that uses animation, live-action videos, and hands-on activities to support joint engagement of children and caregivers around computational thinking concepts and practices. This research is intended to examine the extent to which the prototyped media and activity sets support the project’s learning goals. Education Development Center (EDC), WGBH’s research partner for the project, conducted a small formative study with 16 English-speaking families (children and their caregivers) to test out these media and activity set prototypes. During the in-person video
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants. The goal of this project is to make 21st century quantum science comprehensible and engaging to non-expert informal adult learners. This project has strong potential to add new knowledge about the public's perception and understanding of quantum physics. This scientific content is often difficult for informal audiences to grasp, and there are relatively few accessible learning resources for a non- professional audience. The development of this online, interactive resource with short animations, graphics, and simulations has strong potential to fill this gap. It will develop a visually driven online resource to engage non-expert audiences in understanding the basics of quantum physics. The web design will be modular, incorporating many multimedia elements and the structure will be flexible allowing for future expansion. All content would be freely available for educational use. There is potential for extensive reach and use of the resources by informal adult learners online as well as learners in museums, science centers, and schools. Project partners are the Joint Quantum Institute at the University of Maryland and the National Institute of Standards and Technology, College Park. An independent evaluation of the project will add new knowledge about informal learners' perceptions and/or knowledge about quantum science and technology. An initial needs assessment via focus groups with the general public will be designed to find out more about what they already know about quantum physics topics and terminology, as well as what they want to know and what formats they prefer (games, simulations, podcasts, etc.). In person user testing will be used with early versions of the project online resource using a structured think-aloud protocol. Later in year 1 and 2, online focus groups with the general public will be conducted to learn what they find engaging and what they learned from the content. Iterative feedback from participants during the formative stage will guide the development of the content and format of the online resources. The Summative Evaluation will gather data using a retrospective post-survey embedded with a pop-up link on the Atlas followed by interviews with a subset of online users. Google Analytics will be used to determine the breadth and depth of their online navigation, what resources they download, and what websites they visit afterward. A post-only survey of undergraduate and graduate students who participated in resource development will focus on changes in students' confidence around their science communication skills and level of quantum physics understanding.
WNET, working with Education Development Center, will lead a small scale Innovations in Development effort to develop, research, and evaluate a new model to engage underserved families in STEM learning. The new endeavor, Cyberchase: Mobile Adventures in STEM, will build on the proven impact of the public media mathematics series Cyberchase and the growing potential of mobile technology and texting to reach underserved parents. WNET will produce two new Cyberchase episodes for 6-9 year olds, focused on using math to learn about the environment. Drawing on these videos and an existing Cyberchase game, the team will produce a bilingual family engagement campaign that will combine an in-person workshop followed by a 6-8 week "text to parent" campaign, in which parents receive weekly text messages suggesting family STEM activities related to the media content. The engagement model will be piloted in three cities with large low-income/Latino populations, along with one texting campaign offered without the workshop. This project will build knowledge about how to deploy well-designed public media assets and text messaging to promote fun, effective STEM learning interactions in low-income families. While past research on educational STEM media has tended to focus on children, especially preschool age, this project will focus primarily on text messaging for parents, and on learners age 6-9, and the wider scope of parent/child STEM interactions possible at that age.
The primary goal of the project will be to develop, test and refine a family engagement model that includes a face-to-face workshop, rich narrative Cyberchase content, and text-message prompts for parents to engage in short, playful STEM activities with children. The project team will explore which features of the mobile text-and-media program have most value for low-income and Latino families and prompt STEM learning interactions, including a comparison of workshop-based and text-only variants. The project will have three phases: needs assessment and preliminary design; an early-stage test in New York and development and testing of media; and three late-stage tests in contrasting locations, two including workshops and one "text-only," and analysis of findings. Ultimately, the project will share knowledge with the field about the opportunities and challenges of using mobile texting and public media to reach underserved families effectively. This knowledge will also inform a future proposal for production and outcomes research, which, based on the study results, may include a scaled-up version in ten locations and a ten-city Randomized Control Test. This project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants.
The Peg + Cat ELM2 project sought to combine robust media-integrated teacher training in both math content and facilitation of classroom and family engagement activities with transmedia resources that parents and children could utilize at home. This cohesive approach resulted in increases in teachers’ confidence in and knowledge about their mathematics instruction, parents’ engagement in activities and conversations with their children around math, and children’s positive and persistent attitudes towards math, as reported by their parents. Taken together, these findings suggest that the Peg +
Purpose: An estimated 5 to 8% of elementary school students have some form of memory or cognitive deficit that inhibits learning basic math. Researchers have identified several areas where children with math learning difficulties struggle. These include a strong sense of number facts to quickly and accurately perform operations on single digit numbers, the use of strategies to solve problems which have not yet been memorized, a sense to figure out whether or not an answer is reasonable, and self-monitoring to assess one's own efficacy and understanding. To support students with math learning difficulties in grades 1 to 4, this project team will develop a series of apps for touch-screen tablets that encourage single digit operational fluency, conceptual understanding, strategy awareness, and self-understanding.
Project Activities: During Phase I project in 2012, the research team developed a prototype of the single digit addition game, following an iterative process incorporating feedback from teachers and students having difficulty with math. Nineteen students participated in a pilot study, and the researchers found that the prototype functioned well and that users were engaged by the game. In Phase II, the team will build and refine the back end system, design and develop the teacher website, and create content for games in subtraction, multiplication, and division. Researchers will carry out a pilot test of the usability and feasibility, fidelity of implementation, and promise of the game to improve learning. Students in first to fourth grade identified by teachers as having the greatest difficulty with math will participate in the pilot study. Half of the 120 students participating in the pilot study will be randomly selected to play the game as a supplement to classroom learning whereas the other half will not have access. Students in the control group will be provided the games at the end of the study. Analyses will compare pre- and post-test math scores.
Product: The web-based game, MathFacts, will include a series of apps for touch-screen tablet computers to support math learning for 1st to 4th grade students with major or sometimes intractable learning difficulties. In the game, students will learn content through mini-lessons, engage with problems in practice and speed rounds, and then receive formative feedback on their performance. Students will use and manipulate blocks, linker tubes, number lines, and interact with engaging pedagogical agents such as parrots and sloths. Students will set goals, advance to more challenging levels, and engage in competition. The game will be self-paced and will provide individualized formative assessment scaffolding when students do not know the answer to a question. A teacher management system will support professional development and will produce reports to guide instruction. The intended outcomes from gameplay will include increased fluency, conceptual understanding, strategy awareness, self-assessment, and motivation of basic math.
Purpose: There is concern about a decline in mathematics achievement scores among U.S. students during the middle school years. For example, while 4th grade U.S. students rank 8th overall on an international mathematics comparison, by 10th grade U.S. student's drop significantly to 25th in the same comparison. Some researchers posit that much of this decline relates to how math is taught in the U.S. and with how students become less engaged as learners in middle school. The purpose of this project is to develop a web-based game to engage 7h grade students in a narrative-based story which will apply learning of content and skills aligned to the Common Core State Standards (CCSS) in mathematics.
Project Activities: During Phase I in 2012, the team developed a functioning prototype and conducted usability and feasibility research with fourteen 7th grade students. Researchers found that the prototype functioned as intended and that students were highly engaged while playing the game. In Phase II, the team will develop a fully-functional user interface with animated characters, interactivity across student users, narrative scripts and accompanying art assets, 36 problem sets, and student and teacher dashboards and databases. After development is complete, a pilot study will examine the usability and feasibility, fidelity of implementation, and the promise of the game to improve math learning. The study will include 120 students in 6 classrooms in three schools, with one classroom per school randomly assigned to use the game and the other half assigned to a business-as-usual control. Analyses will compare student scores on pre and post mathematics measures.
Product: Empires is a web-based game that addresses 36 pre-algebra Common Core State Standards in mathematics for 7th and 8th grades. The game follows a storyline in a recreation of an ancient empire which is at the brink of agricultural revolution and of becoming a trade economy. As students play the game, they engage in math-focused activities to drive the action, such as taxing citizens to learn ratios and proportions, allocating resources to learn percentages, and measuring the distance and time between a neighboring empire by applying the principles of the Pythagorean Theorem. As a socially networked game, students will interact with other students in the class to complete trades that lead to encounters with different math problems. The game will include two helpful, funny, advisors who will scaffold learning through mathematical discourse, arguing over the next most important thing to do. The game design architecture will work on a wide range of computers, including desktops and iPads. A teacher's guide and companion website will provide guidance to classroom activities that complement the game.
This project team is developing and testing a prototype of the Teachley Analytics Library, a platform intended to host third party-developed mathematics game apps for students in kindergarten through Grade 8. The prototype will include a dashboard to host games and generate formative assessment data to inform teacher instruction. In the Phase I pilot study, the team will examine whether the prototype functions as planned with 40 Grade 1 and 2 math teachers. The study will test if teachers are able to implement games within the classroom and utilize data to inform practice, and whether students are engaged by gameplay.
This project team will develop and test a prototype of LifeSim, intended to be a financial literacy game app for high school students to strengthen mathematical skills and practical life knowledge. In the game, high school students will manage hypothetical investment funds and be challenged to understand compounded interest and debt. The app will include materials for math teachers to integrate the game within instructional practice. At the end of Phase I in a pilot study with 50 students, the researchers will examine whether the prototype functions as planned and if students are engaged during gameplay.
In prior research and development, the team developed WuzzitTrouble, an iPhone and iPad gaming app where players solve problems using number sense mathematical strategies. This project will develop and test a prototype of an adaptive engine for this game, intended to tailor gameplay to the skill levels of individual students and to provide support (or scaffold learning) for students with weaker skills. The Phase I pilot will involve six Grade 6 classrooms and 100 students. The study will examine whether the prototype functions as planned, and if students of different skill levels are engaged and able to play the game with the support of the prototype’s adaptive engine.
Purpose: Purpose: This project team will fully develop and test Teachley Connect, a platform that syncs a variety of third-party math games to give elementary schools formative assessment data and intervention support. Mobile math games provide opportunities for students to access educationally-meaningful content in and out of the classroom and to supplement instruction. There are a number of examples of math apps that show promise for supporting and assessing student learning in different areas of mathematics, yet few apps in the marketplace provide meaningful data that teachers can use. Many games provide an overall score at the end of the session, but do not help teachers know what skills students are struggling with or how to provide additional support.
Project Activities: During Phase I, (completed in 2015), the team developed a prototype of Teachley Connect, which enables the secure transfer of game and learning data between third-party math games and the Teachley servers. At the end of Phase I, researchers completed a pilot study with 20 students and two teachers and demonstrated that the prototype operated as intended with important trends indicating that the system promotes student engagement and less time spent seeking help. In Phase II, the team will add additional third party math apps to the platform, strengthen the backend management system to tag user game-play data, and build out the teacher reporting dashboard to inform instruction and identify apps to address particular student and class needs. After development is complete, the research team will conduct a larger pilot study to assess the feasibility and usability, fidelity of implementation, and the promise of the Teachley Connect for teachers to use formative assessment data to inform classroom practice, select apps to address individual student needs, and support student math learning. The study will include 12 (grade K to 3) classrooms and randomly assign them into one of three groups: 1) apps only, 2) Teachley-enabled apps, or 3) Teachley-enabled apps + data. Researchers will compare pre-and-post scores of student's math learning, classroom observations, and teacher surveys/interviews.
Product: Teachley Connect will be a mobile tablet-based platform that uses games to give elementary schools rich formative assessment data and intervention support. Teachley Connect will permit students to continue playing exactly where they left off on any tablet. The platform will also connect apps into a single teacher dashboard, providing teachers detailed reports on student performance across games, with insights for informing individual or whole group instruction. The platform will include teacher resources to support the alignment of game play with learning goals and to support implementation.
Purpose: This project team will fully develop and test Cyberchase Fractions Quest, a web-based mathematics game for students in grade 3 and 4. Research shows that inadequate understanding of fractions can persist from early grades through higher education, and that success in fractions predicts future success in mathematics and other STEM subjects.
Project Activities: During Phase I (completed in 2016), the team developed a prototype of Cyberchase Fractions Quest, including an interactive number line game with four levels of challenges, and a tool to scaffold learning through hints and provide encouragement as students progress. At the end of Phase I, the research team conducted a pilot study over one week with 60 grade 4 students, half of whom were randomly assigned to use the prototype and half assigned to paper-based fractions activities. Results revealed that the prototype functioned as intended, that students were engaged during gameplay, and that from pre- to post-test, students using the prototype increased significantly in their knowledge of number line problems compared to the control group. In Phase II, the team will finalize the design, artwork, and animation, the formative and summative assessment component, and learning management system. After development is complete, the researchers will carry out a pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the game to improve student learning of fractions over a 5-week period. The study will include four classrooms of grade 3 students, two of which will be randomly assigned, to use the games to supplement in-class lessons while the others will use paper-based activities. The researchers will compare pre-and-post scores for student learning of fractions. The study will also track teacher implementation.
Product: The final product is Cyberchase Fractions Quest—a math game based on the storyline of PBS children's television series, Cyberchase. In the game, students in grades 3 and 4 will apply learning fractions within three contexts: areas and regions (such as shapes), sets (groups of objects), and on a number line. The game will identify specific areas where students struggle and will introduce challenges to support individualized learning. Similar to other popular game apps, student will receive immediate feedback from one to three stars based on how well they perform on each challenge as well as in-game rewards as they progress toward mastery. The game will include teacher resources for classroom implementation, and an educator dashboard presenting results.