The goal of the project is to advance understanding of basic questions about learning and teaching through the development of a theory of embodied mathematical cognition that can apply to a broad range of people, settings and activities. The investigative team brings together expertise from a range of quantitative and qualitative research methodologies. A theory of embodied mathematical cognition empirically rooted in classroom learning and workplace practices will broaden the range of activities and emerging technologies that count as mathematical, and help educators to envision alternative forms of bodily engagement with mathematical problems.
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TEAM MEMBERS:
Ricardo NemirovskyRogers HallMartha AlibaliMitchell NathanKevin Leander
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 article from "The Atlantic" describes ways that teachers are integrating hands-on and experiential STEM learning into the classroom, which include collaboration with informal learning environments through creative field trips.
Young people's participation in informal STEM learning activities can contribute to their academic and career achievements, but these connections are infrequently explicitly recognized or cultivated. More systemic approaches to STEM education could allow for students' experiences of formal and informal STEM learning to be aligned, coordinated, and supported across learning contexts. This Science Learning+ planning project brings together stakeholders in two digital badge systems--one in the US and one in the UK--to plan for a study to identify the specific structural features of the systems that may allow for the alignment of learning objectives across institutions. Digital badge systems may offer an inventive solution to the challenge of connecting and building on youth's STEM-related experiences in multiple learning contexts. When part of a defined system, badges could be used to represent and communicate evidence of individual learning, as well as provide youth and educators with evidence-supported indicators for other activities in the system that might be interesting or valuable. Properly designed and supported badge systems could transmit critical information within a network of informal STEM programs and schools that (1) recognize context-dependent, interest-driven learning and (2) provide opportunities to explore those interests across multiple settings. This project advances the field of informal STEM learning in two ways. First, the project documents and analyzes the processes by which two small groups of informal science education organizations and schools negotiate the meaning and value of badges, as proxies for learning objectives, and how they decide to recognize badges awarded by other institutions. This process builds capacity within the target systems while also beginning to identify the institutional, cultural, and material capacity issues that facilitate or constrain the alignment process. Second, the project conducts a pilot study with a small number of youth in the US and UK to investigate factors associated with an individual youth's likelihood of: a) identifying badges of interest; b) connecting the activities of various badge systems to each other and to non-badging institutions, such as school or industry; c) determining which badges to pursue; and d) persisting in a particular badge pathway. Findings from this pilot study will help identify institution- and individual-level factors that might be associated with advancing student interest and progression in STEM fields. Deepening and validating the understanding of those factors and their relative impact on student experiences and outcomes will be the focus of investigations in future studies.
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TEAM MEMBERS:
James DiamondNew York City Hive Learning NetworkMOUSEDigitalMeKatherine McMillan
President Obama announced in April 2013 that the Corporation for National and Community Service (CNCS) would launch a STEM AmeriCorps initiative to build student interest in STEM. A RFA is currently being prepared to be released in the late fall of 2013. This project will engage in quick response research to identify an evaluation and research agenda that can begin to inform the program launch. Thus, the timeframe for informing the initial stages of STEM AmeriCorps is relatively short, and the creation of an evaluation and research agenda is very timely. The products from the RAPID proposal are: (1) a review of the evaluation and research literature on the use of volunteers and/or mentors to build students' interest in STEM; (2) to convene a workshop to identify evaluation and research priorities to guide the initiative; and (3) a summary evaluation agenda that identifies promising directions along with the strength of evidence around key issues.
This working white paper begins the process of establishing a research agenda for how to use adult volunteers most effectively to engage K-12 students in STEM subjects. It does so by describing a comprehensive review of the literature, searching for articles and papers about programs designed to increase student interest, engagement, participation and academic achievement/attainment in STEM subjects.
To create more equitable learning opportunities for students from marginalized communities, educators can design learning experiences that help young people connect their everyday interests and knowledge to academic content. Nasir et al. synthesized research on how students use sophisticated math in everyday practices like discussing basketball, playing dominoes, and selling candy. Then they explain how learning improves when varied student experiences are made relevant in informal and formal learning environments.
This article discusses the potential for learner engagement in the contexts of a basketball team and a mathematics classroom. The qualitative analysis centers on three aspects of each context: access to the domain, the integral roles available to learners, and opportunities for self-expression.
This poster was presented at the 2014 AISL PI Meeting in Washington, DC. Using STEM America (USA) is a two-year Pathways project designed to examine the feasibility of using informal STEM learning opportunities to improve science literacy among English Language Learner (ELL) students in Imperial County, California.
This article discusses intellectual activities in African American culture that privilege mathematical thinking. It is a helpful reference for educators and researchers who want to shift from deficit-oriented perspectives about non-dominant or marginalized groups’ performance to additive perspectives that build on out-of-school cultural knowledge and practices to support student learning in school. The authors suggest how educators might value forms of mathematical thinking that are usually not recognized in school. This recognition can support diverse students’ participation and achievement
A midpoint progress poster on the Sparks of Discovery Project which connects UW-Madison NSF researchers to produce interdisciplinary science investigations that will be/have been implemented in a number of settings, including participants from underrepresented groups in science. Wisconsin Alumni Research Foundation (WARF) along with the Morgridge Institute for Research staff support the project and implement the education programs at the Wisconsin Institutes for Discovery. This poster was presented at the 2014 AISL PI Meeting in Washington, DC.
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University of Wisconsin, MadisonTravis Tangen