1,720,956 research outputs found

    Co-constructing Peer Feedback Practices in an Elementary School Mathematics Classroom: An Enactivist Perspective

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    Feedback has been recognized as one of the most powerful factors in school achievement, and a great body of research has been devoted to studying its effectiveness. In this research, I bring together research in peer feedback and mathematics education by exploring peer feedback practices in my grade six mathematics class. Inspired by a democratic view of education, this research is premised on the conviction that peer feedback practices, like all other educational acts, must be decided by those affected by them. For this reason, my grade six students and I co-constructed feedback practices as the group engaged in feedback actions, categorized feedback, and co-constructed models of feedback. Adopting an enactivist perspective, both as a theory of knowing and as a methodology, I explored the co-construction of the groups feedback practices as feedback was enacted across three cycles of feedback actions. The goal of this research was to see how the group co-constructed feedback categories, models and actions and how conceptualization of feedback and its effectiveness evolved throughout the process. The analysis of data culminated in three detailed narratives describing, from my perspective as teacher-researcher, shared experiences of coupling across the three cycles. The process of co-constructing feedback provided the group with the opportunity for recursive linguistic coupling with one another, through which the group co-adapted and co-evolved and brought forth new possibilities for feedback categories and models. Many parallels emerged between the process of co-construction of feedback practices and the feedback practices that were co-constructed. Students conceptualization of feedback and its effectiveness evolved from content to actions and relationships. The findings of this research suggest that the power of the feedback practices rested in the fact that they were co-constructed and that the process of co-construction was one of transformation, of action, reflection, and effective relationships

    Enhancing the Teaching and Learning of Basic Arithmetic Through Subitizing

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    This paper examines how subitizing (recognizing a quantity and naming it without having to count the objects individually) can help develop students’ understanding of basic arithmetic and how teachers’ and students’ actions can inform one another. Studies suggest that subitizing is underused in teaching and can be harnessed to enhance the learning of subtraction and addition because of its deep links to visualization. Pairing research that points to possibilities of using subitizing to teach arithmetic with an enactivist view of teaching, this research examines how teachers’ and students’ actions co-adapt. Data from short, seven- to eight-minute addition and subtraction lessons in a Grade 2 classroom were collected and analyzed with an enactivist view of teaching actions as triggers. Actions included verbal prompts, movement of small circular objects that represent numbers and hand gestures above the objects. In these lessons, teachers and students arranged small circular objects to guess/identify one another’s computational strategies to arithmetic questions. Our findings suggest that teacher actions triggered and were triggered by students’ subitizing capabilities and occasioned making connections between number (de)composition and operations. Teachers’ actions were contingent on students’ actions as they repeated, enhanced or changed their actions. Triggered by teachers’ actions, students were able to use subitizing to describe their computation strategies instead of counting to combine and/or form large values and to (de)compose, add or subtract values. This research recommends the use of subitizing to make arithmetic strategies visual and calls for more research on the co-emergence of teaching and learning in mathematics classrooms

    Peer Feedback in the Mathematics Classroom

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    This study explores peer feedback in a combined fifth and sixth-grade classroom.Drawing on Hattie and Timperley’s (2007) model for feedback, we analyzed 334 peer feedback comments gathered during six mathematics lessons. Our analysis revealed evidence of peer feedback being beneficial to the students who provide it as well as those who receive it. Specifically, we share examples of how peer feedback can support opportunities for providers of feedback to 1) self-regulate by choosing mathematics strategies, 2) make connections between their own mathematical ideas and those of their peers, and 3) engage in ongoing back-and-forth conversations. Findings from our study point to recommendations for teachers to be more purposeful in their prompts to students about the types of feedback they might provide one another

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

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