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tandfonline.com – Markov Processes: Exploring the Use of Dynamic Visualizations to Enhance Student Understanding

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT Finding ways to enhance introductory students’ understanding of probability ideas and theory is a goal of many first-year probability courses. In this article, we explore the potential of a prototype tool for Markov processes using dynamic visualizations to develop in students a deeper understanding of the equilibrium and hitting times distributions. From the literature and interviews with practitioners, we identified core probability concepts, problematic areas, and possible solutions from which we developed design principles for the tool and accompanying tasks. The tool and tasks were piloted on six introductory probability students using a two-person protocol. The main findings highlight that our tool and tasks seemed to assist students to engage with probability ideas, to develop some intuition for… Continue Reading

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Eric.ed.gov – Math Snacks: Using Animations and Games to Fill the Gaps in Mathematics

eric.ed.gov har udgivet: Math Snacks animations and support materials were developed for use on the web and mobile technologies to teach ratio, proportion, scale factor, and number line concepts using a multi-modal approach. Included in Math Snacks are: Animations which promote the visualization of a concept image; written lessons which provide cognitive complexity for understanding; and active, situated learning activities to facilitate memorable experiences to deepen comprehension. This pilot study compared pre-post test gains for 460 sixth and seventh grade students enrolled in nine different classrooms. In five of the nine classrooms, teachers utilized the “Teacher Guide: that corresponded with the five Math Snacks animations and one game and in four classrooms teachers used the same Math Snacks animations and one game, but were free to develop their own lessons… Continue Reading