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
resourceresearchMuseum and Science Center Exhibits
The purpose of this study was to explore whether the notion of activity frames might be a useful alternative to sociomathematical norms to help describe the behaviors of family members at interactive math exhibits. In this study, activity frames are defined as contextspecific, emergent understandings or expectations, either implicit or explicit, about the nature and goals of family and staff interactions at math exhibits (Pattison et al., in review; Pattison, Gontan, & Ramos-Montañez, in review). Researchers questioned not only whether activity frames could describe family behaviors, but also
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.
This chapter reviews four projects that reflect the principles of design-based implementation research (DBIR) in an effort to highlight a range of relevant theoretical and methodological perspectives and tools that can inform future work associated with DBIR.The goal of this chapter is to highlight a range of relevant theoretical and methodological perspectives and tools that can inform future work associated with design-based implementation research (DBIR). As Penuel, Fishman, Cheng, and Sabelli (2011) described, DBIR entails engaging “learning scientists, policy researchers, and
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TEAM MEMBERS:
Jennifer RussellKara JacksonAndrew KrummKenneth Frank
This research project led by the Exploratorium will use a combination of tracking and timing, cluster analysis, and focus groups to seek to answer the research question: To what extent and in what ways do female-responsive designs more effectively engage girls at STEM exhibits? This project addresses the need for more research in this area by pioneering the study of potential female-responsive design (FRD) principles for exhibits across a wide variety of STEM topics and exhibit types. This project includes four phases that will build from the work of the PI that developed an initial Female-Responsive Design (FRD) Framework regarding female engagement and learning in STEM -- based on extensive literature review and practitioner interviews. This project will expand on and validate this FRD Framework, with the ultimate goal of having a set of criteria for female-responsive designs (FRD) that effectively engage girls at STEM exhibits. The four phases of the research project are: Phase 1: Track 1000 boys and girls across three institutions using over 300 physics, engineering, and math exhibits to identify which exhibits engage boys and girls equally, and which are less engaging for girls. Phase 2: A panel of experts and girl advisors identify additional female-responsive design principles, expanding on those identified to date in literature and practice. Phase 3: Combining results from the first two phases, the third phase employs statistical analyses to reveal the most effective combinations of design principles for engaging girls across a variety of exhibits. Phase 4: This qualitative phase conducts focus groups with girls to explore how the final FRD Framework works to better engage them, and how their learning differs at exhibits that exemplify the principles in the Framework.