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resource project Higher Education Programs
This project centers on an Indigenous Scholars program, immersing students in land-based learning to deepen a relationship with their homeland while understanding how legal and political conflicts impact environmental and community health. Students will explore ways of knowing in language, mathematics, science, arts, and society and culture, through sessions led by scholars versed in Indigenous methodologies.
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TEAM MEMBERS: Chris Meyer Dale Chess Laura Laumatia
resource research Public Programs
This dissertation study investigates late-elementary and early-middle school field trips to a mathematics exhibition called Math Moves!. Developed by and currently installed at four science museums across the United States, Math Moves! is a suite of interactive technologies designed to engage visitors in open-ended explorations of ratio and proportion. Math Moves! exhibits emphasize embodied interaction and movement, through kinesthetic, multi-sensory, multi-party, and whole-body immersive experiences. Many science museums and other informal-learning institutions offer exhibits and public
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TEAM MEMBERS: Molly Louise Kelton
resource research Informal/Formal Connections
Data are the workhorses of the scientific endeavor and their use is rapidly evolving (Haendel, Vasilevsky, and Wirz 2012). Ask almost any scientist about their work, and the conversation will involve the data they collect and analyze. The use of data in science is often captured in science classrooms as an ill-defined link between math and science that may not reflect authentic data practices (Tanis Ozcelik and McDonald 2013). Students often find themselves collecting data to confirm obvious conclusions within highly structured labs, and data become a way for students to demonstrate the
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TEAM MEMBERS: Michael Giamellaro Kari O'Connell
resource research Afterschool Programs
This paper examines STEM-based informal learning environments for underrepresented students and reports on the aspects of these programs that are beneficial to students. This qualitative study provides a nuanced look into informal learning environments and determines what is unique about these experiences and makes them beneficial for students. We provide results of a qualitative research study conducted with the Mathematics, Engineering, Science Achievement (MESA) program, an informal learning environment that has proven to be effective in recruiting, retaining and encouraging
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TEAM MEMBERS: Cameron Denson Chandra Austin Stallworth Christine Hailey Daniel Householder
resource project Summer and Extended Camps
This NSF INCLUDES Design and Development Launch Pilot is to expand the Navajo Nation Math Circle model to other sites, and to develop and launch a network of math circles based on the NNMC model. The Navajo Nation Math Circle model is a novel approach to broadening the participation of indigenous peoples in mathematics that, ultimately, seeks to improve American Indian students' attitudes towards mathematics, persistence with challenging problems, and grades in math courses. Navajo Nation Math Circles bring teachers, students, and mathematicians together to work collaboratively on challenging, but meaningful and fun, math problems. Through this NSF INCLUDES project, additional math circles across the Navajo Nation will be launched and a mirror site in Washington State serving additional tribes (such as Puyallup, Muckleshoot, Tulalip, and Stillaguamish) will be established.

Originating approximately a century ago in Eastern Europe as a means to engage students in mathematical thinking, math circles bring teachers, students, and math professionals together to work collaboratively on challenging, but relevant and interesting, math problems. Navajo Nation Math Circles, established math circles in various Navajo Nation communities, are the foundation of this INCLUDES project. One goal of this effort is to launch a network with the capacity to support the replication and adaption of math circles in multiple sites as an innovative strategy for encouraging indigenous math engagement through culturally enriched open-ended group math explorations. In addition, the Navajo Nation Math Circle model will be expanded to new math circles in the Navajo Nation, as well as in Washington State to serve additional tribes. Cells in the network will implement key elements of the Navajo Nation Math Circle model, adapting them to their particular contexts. Such elements include facilitation of open-ended group math explorations, incorporating indigenous knowledge systems; a Mathematical Visitor Program sending mathematicians to schools to work with students and their teachers; inclusion of mathematics in public festivals to increase community mathematical awareness; a two-week summer math camp for students; and teacher development opportunities ranging from workshops to immersion experiences to a mentoring program pairing teachers with mathematicians.
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TEAM MEMBERS: David Auckly Henry Fowler Jayadev Athreya
resource project Professional Development and Workshops
This is an "Inclusion across the Nation of Communities of Learners of Underrepresented Discoverers in Engineering and Science" (INCLUDES) Design and Development Launch Pilot that will implement a plan to assess the feasibility of a strategy designed to ensure high levels of improvement in K-12 grade students' mathematics achievement. The plan will focus on an often-neglected group of students--those who have been performing at the lowest quartile on state tests of mathematics, including African American, Hispanic, Native American, students with disabilities, and those segregated in urban and rural communities across the country. The project will draw on lessons learned from the nation's Civil Rights Movement and a community-organizing strategy learned during the struggle to achieve voting rights for African Americans. The Algebra Project (AP) is a national, nonprofit organization that uses mathematics as an organizing tool to ensure quality public school education for every child in America; it believes that every child has a right to a quality education to succeed in this technology-based society. AP's unique approach to school reform intentionally develops sustainable, student-centered models by building coalitions of stakeholders within the local communities, particularly the historically underserved populations. The AP works to change the deeply rooted social attitudes that encourage the disenfranchisement of a third of the nation's population. It delivers a multi-pronged approach to build demand for and support of quality public schools, including research and development, school development, and community development education reform efforts through K-12 initiatives.

The Algebra Project and the Young People's Project (YPP) will join efforts to bring together over 70 individuals and organizations, including 17 universities of which 8 are Historical Black Colleges and Universities, school districts, mathematics educators, and researchers to examine their experiences, and use collective learning to refine and hone strategies that they have piloted and tested to promote mathematics inclusion. The role of YPP in the proposed project will be to organize and facilitate the youth component, such that project activities reflect the language and culture of students, continuously leveraging and building upon their voice, creative input, and ongoing feedback. YPP will conduct workshops for students organized around math-based games that provide collective experiences in which student learning requires individual reflection, small group work, teamwork and discussion. The proposed work will comprise the design of effective learning opportunities; building and supporting a cadre of teachers who can effectively work with students learning under the proposed approach; using technologies to enhance teaching and learning; and utilizing evaluation and research to drive continuous improvement. Because bringing together an effective network with diverse expertise to collaborate towards national impact requires expert facilitation processes, the project will establish working groups around three major principles: (1) Organizing from the bottom up through students, their teachers, and others in local communities committed to their education, allied with individuals and organizations who have expertise and dedication for achieving the stated goals, can produce significant progress and the conditions for collective impact; (2) Effective learning materials and formal and informal learning opportunities in mathematics can be designed and implemented for students performing in the bottom academic quartile; and (3) Teachers and other educators can become more proficient and more confident in their capacity to produce students who are successful in learning the level of mathematics required for full participation in STEM. The working groups will also be tasked to consider two cross-cutting topics: (a) the communication structures and technologies needed to operate and expand the present network, and to create the "backbone" and other structures needed to operate and expand the network; and (b) the measurements and metrics for major needs, such as assessing students' mathematics literacy, socio-emotional development in specified areas; teachers' competencies; as well as the work of the network. The final product of this plan will be a "Theory of Collective Action and Strategic Plan". The plan will contain recommendations for collective actions needed in order for the current network to coordinate, add appropriate partners, develop the needed backbone structures, and become an NSF Alliance for national impact on the broadening participation challenge of improving the mathematics achievement. An external evaluator will conduct both formative and summative aspects of this process.
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TEAM MEMBERS: Robert Moses Nell Cobb Gregory Budzban Maisha Moses William Crombie
resource project Informal/Formal Connections
As part of its overall strategy to enhance learning in informal environments, the Advancing Informal STEM Learning (AISL) program funds innovative research, approaches and resources for use in a variety of settings. This Research in Service to Practice project will address the issues around Informal Education of rural middle school students who have high potential regarding academic success in efforts to promote computer and IT knowledge, advanced quantitative knowledge, and STEM skills. Ten school districts in rural Iowa will be chosen for this study. It is anticipated that new knowledge on rural informal education will be generated to benefit the Nation's workforce. The specific objectives are to understand how informal STEM learning shapes the academic and psychosocial outcomes of rural, high-potential students, and to identify key characteristics of successful informal STEM learning environments for rural, high-potential students and their teachers. The results of this project will provide new tools for educators to increase the flow of underserved students into STEM from economically-disadvantaged rural settings.

The President's Council of Advisors on Science and Technology predicts a rapid rise in the number of STEM jobs available in the next decade, describing an urgent need for students' educational opportunities to prepare them for this workforce. In 2014, 62% of CEOs of major US corporations reported challenges filling positions requiring advanced computer and information technology knowledge. The project team will use a mixed methods approach, integrating comparative case study and mixed effects longitudinal methods, to study the Excellence program. Data sources include teacher interviews, classroom observations, and student assessments of academic aptitude and psychosocial outcomes. The analysis and evaluation of the program will be grounded in understanding the local efforts of school districts to build curriculum responsive to the demands of their high-potential student body. The project design, and subsequent analysis plan, utilizes a mixed methods approach, incorporating case study and longitudinal quantitative methods to analyze naturalistic data and build robust evidence for the implementation and impact of this program. This project will provide significant insights in how best to design, implement, and support informal out-of-school learning environments to broaden participation in the highest levels of STEM education and careers for under-resourced rural students.
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TEAM MEMBERS: Susan Assouline
resource project Media and Technology
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.
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TEAM MEMBERS: Scott Laidlaw
resource project Media and Technology
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.
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TEAM MEMBERS: Kara Carpenter
resource project Media and Technology
In prior research and development, the team developed the Mathalicious intervention for middle and high school students to improve mathematical thinking. Each Mathalicious lesson revolves around applying a real world example to learn math (e.g., Is college worth the cost). In this project, the team will develop and test a prototype of an adaptive platform through which students will need to demonstrate mastery prior to being able to advance to more complicated procedural, conceptual, and analytical levels. In the Phase I pilot research with three Grade 8 classrooms, the team will examine whether the prototype functions as planned, if teachers are able to implement it with students, and whether students are engaged.
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TEAM MEMBERS: Karim Kai Ani
resource project Media and Technology
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.
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TEAM MEMBERS: Randy Wiener
resource project Media and Technology
Purpose: The team will fully develop and test three puzzle-based math games that adaptively assess and support student learning in middle school classrooms. A principle objective of middle school math is to prepare students for more complicated and advanced STEM topics, providing the foundation for a wide variety of college majors and careers. Students who struggle in math in grade 5 and 6 are more likely to show deficits as coursework turns to topics in algebra. However, in many classrooms, commonly used progress monitoring instruments often do not adjust in ease or difficulty based on student performance, and do not provide data teachers can use to tailor instruction to meet the needs of students.

Project Activities: During Phase I (completed in 2015), the team developed a prototype of an adaptive engine for Wuzzit Trouble, a previously developed app where players rotate a virtual wheel to solve puzzles by applying number sense mathematical strategies. The engine tailors gameplay to the skill level of individual students in real time, providing tips and support to students having difficultly or by making challenges more difficult for those who master puzzles. The research team conducted a pilot study at the end of Phase I in order to test the prototype. A little more than 200 grade 5 and 6 students and six teachers participated over two weeks. Researchers found that the prototype functioned as intended and that teachers successfully used the game before, during, and after class as a supplement to instruction. They learned that 65% of students enjoyed using the prototype and 46% indicated that the game adjusted to the right level of difficulty during gameplay. In Phase II, the team will develop two new games on topics including algebraic thinking and problem solving, will strengthen and validate the adaptive engine, and will build out the dashboard to report formative and summative assessment results. After development is complete, the researchers will carry out a larger pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the three games to improve student learning over a 9-week period. Thirty-two grade 5 and 6 math classrooms from 16 schools will participate. One classroom from each school will be randomly assigned to use the games and half will continue with business-as-usual procedures. The researchers will compare pre-and-post scores for student learning on standardized measures of pre-algebra topics. They will also track teacher implementation.

Product: The final product will include a suite of three app-based puzzle games aligned to national math standards for number sense, algebraic thinking, and problem solving. The games will be designed for use in grade 5 and 6 classrooms where students develop and apply content expertise to solving challenges. The games will include an adaptive engine that assesses and adjusts content based on student level of performance, a back-end system to organize data, and a reporting dashboard to present measures of student performance, persistence, and creativity. The project team will also develop teacher resources for suggesting how to incorporate games and activities into classroom instructional practice to reinforce lesson plans and learning.
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TEAM MEMBERS: Randy Weiner