5,013 research outputs found

    Layers of generality and types of generalization in pattern activities

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    Pattern generalization is considered one of the prominent routes for in-troducing students to algebra. However, not all generalizations are al-gebraic. In the use of pattern generalization as a route to algebra, we —teachers and educators— thus have to remain vigilant in order not to confound algebraic generalizations with other forms of dealing with the general. But how to distinguish between algebraic and non-algebraic generalizations? On epistemological and semiotic grounds, in this arti-cle I suggest a characterization of algebraic generalizations. This char-acterization helps to bring about a typology of algebraic and arithmetic generalizations. The typology is illustrated with classroom examples

    Towards the Design of a Natural User Interface for Performing and Learning Musical Gestures

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    AbstractA large variety of musical instruments, either acoustical or digital, are based on a keyboard scheme. Keyboard instruments can produce sounds through acoustic means but they are increasingly used to control digital sound synthesis processes with nowadays music. Interestingly, with all the different possibilities of sonic outcomes, the input remains a musical gesture. In this paper we present the conceptualization of a Natural User Interface (NUI), named the Intangible Musical Instrument (IMI), aiming to support both learning of expert musical gestures and performing music as a unified user experience. The IMI is designed to recognize metaphors of pianistic gestures, focusing on subtle uses of fingers and upper-body. Based on a typology of musical gestures, a gesture vocabulary has been created, hierarchized from basic to complex. These piano-like gestures are finally recognized and transformed into sounds

    Grain levels in English path curvature descriptions and accompanying iconic gestures

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    This paper confirms that the English verb system (similar to the Finnish, Dutch and Bulgarian verb systems [22], [17]) represents path curvature at three different grain levels: neutral path curvature, global path curvature and local path curvature. We show that the three-grain-level hypothesis makes it possible to formulate constraints on English sentence structure and makes it possible to define constructions in English that refer to path curvature. We furthermore demonstrate in an experiment that the proposed English lexicalization pattern regarding path curvature in tandem with the spatial information shown to English speakers correctly predicts their packaging of grain levels in iconic gestures. We conclude that the data studied confirm Nikanne and Van der Zee’s *22] three-grain-level hypothesis in relation to English and Kita and ÖzyĂŒrek’s [11] Interface Hypothesis in relation to gesture production

    French-English bilingual children’s motion event communication shows crosslinguistic influence in speech but not gesture

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    Bilinguals sometimes show crosslinguistic influence from one language to another while speaking (or gesturing). Adult bilinguals have also shown crosslinguistic influence in gestures as well as speech, suggesting an underlying conceptualization that is similar for both languages. The primary purpose of the present study is to test if the same is true of simultaneous French-English bilingual children in speaking and gesturing about motion. If so, they might show different patterns from both French and English monolinguals. Furthermore, we examined whether there were developmental changes between early and middle childhood. French-English bilingual and French and English monolingual children watched two cartoons and described them. In speech, the bilinguals differed from the English monolinguals, using more lexicalizations of the Path of motion in token numbers but not in type. They did not differ from the French monolinguals. In gestures, all children used a majority of Path gestures. There were few age-related changes. We argue that in speech, the bilinguals conceptualize their two languages differently, but show some crosslinguistic influence due to processing. Gestures may not show this same pattern, because they serve to highlight the important parts of the discourse

    Data-based analysis of speech and gesture: the Bielefeld Speech and Gesture Alignment corpus (SaGA) and its applications

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    LĂŒcking A, Bergmann K, Hahn F, Kopp S, Rieser H. Data-based analysis of speech and gesture: the Bielefeld Speech and Gesture Alignment corpus (SaGA) and its applications. Journal on Multimodal User Interfaces. 2013;7(1-2):5-18.Communicating face-to-face, interlocutors frequently produce multimodal meaning packages consisting of speech and accompanying gestures. We discuss a systematically annotated speech and gesture corpus consisting of 25 route-and-landmark-description dialogues, the Bielefeld Speech and Gesture Alignment corpus (SaGA), collected in experimental face-to-face settings. We first describe the primary and secondary data of the corpus and its reliability assessment. Then we go into some of the projects carried out using SaGA demonstrating the wide range of its usability: on the empirical side, there is work on gesture typology, individual and contextual parameters influencing gesture production and gestures’ functions for dialogue structure. Speech-gesture interfaces have been established extending unification-based grammars. In addition, the development of a computational model of speech-gesture alignment and its implementation constitutes a research line we focus on
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