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31.
Contrary to the adage warning against changing test answers, mean gain from changing has been an invariant research finding. Consistency of this gain was tested for students instructed about the research results, and composition of the gain was analyzed by examining the students' reasons for changing. Students in six graduate measurement classes instructed about the answer-changing literature responded to three exams and a questionnaire. Mean gain remained positive and consistent with gain for previously studied uninstructed groups; amount of change was also stable. "Rethinking the item and conceptualizing a better answer" was the most frequent reason given for changing. "Rereading the item and better understanding the question" was the second most cited reason, followed by "rereading/rethinking" combined, and "making a clerical error." For each frequently used reason, wrong-to-right (WR) changes were in the majority. Implications for research and practice are discussed.  相似文献   
32.
Developing scientific literacy about water systems is critical for K-12 students. However, even with opportunities to build knowledge about the hydrosphere in elementary classrooms, early learners may struggle to understand the water cycle (Forbes et al., 2015 ; Gunckel et al., 2012 ; Zangori et al., 2015 ; Zangori et al., 2017 ). Scientific modeling affords opportunities for students to develop representations, make their ideas visible, and generate model-based explanations for complex natural systems like the water cycle. This study describes a comprehensive evaluation of a 5-year, design-based research project focused on the development, implementation, revision, and testing of an enhanced, model-centered version of the Full Option Science System (FOSS) Water (2005) unit in third grade classrooms. Here, we build upon our previous work (Forbes et al., 2015 a; b; Vo et al., 2015 ; Zangori et al., 2015 ; Zangori et al., 2017 ) by conducting a comparative analysis of student outcomes in two sets of classrooms: (1) one implementing the modeling-enhanced version of the FOSS Water unit developed by the research team (n = 6), and 2) another using the standard, unmodified version of the same curricular unit (n = 5). Results demonstrate that teachers in both conditions implemented the two versions of the curriculum with relative fidelity. On average, students exposed to the modeling-enhanced version of the curriculum showed greater gains in their model-based explanations for the hydrosphere. Engagement in scientific modeling allowed students to articulate hydrologic phenomena by (1) identifying various elements that constitute the hydrosphere, (2) describing how these elements influenced the movement of water in the hydrosphere, and (3) demonstrating underlying processes that govern the movement of water in the hydrosphere.  相似文献   
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Educational Studies in Mathematics - Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with...  相似文献   
34.
We offer a new approach to emergent knowledge in processes of conceptual change in dyadic interaction by drawing on Pickering’s (The Mangle of Practice, The University of Chicago Press, London, 1995) Mangle of Practice theory, which theorizes the emergence of new scientific knowledge as occurring due to material resistance and human accommodations to such resistance. We use Commognition (Sfard in Thinking as communicating, Cambridge University Press, New York, 2008), which conceptualizes learning as a change in discourse, and conceptual change as change in meta-discursive rules, to examine the interaction between several dyads working on proportional reasoning tasks. These dyads were selected for close scrutiny based on a large previous experimental study designed to examine the most productive constellation for pairing students of different levels with or without a hypothesis testing device. The Mangle helps us theorize the emergent, unpredictable aspects of learning and conceptual change. We provide three criteria for examining the productivity of the interaction: Availability of an alternative discourse (proportional vs. additive), Resistance of material/disciplinary agency and Positioning of students to make meta-discursive shifts. We discuss this model as an aid for monitoring and designing learning situations that enhance conceptual change.  相似文献   
35.
Collaborative work in small groups is often a suitable context for yielding substantial individual learning outcomes. Indeed, small-group collaboration has recently become an educational goal rather than a means. Yet, this goal is difficult to attain, and students must be taught how to learn together. In this paper, we focus on how to prepare teachers to become facilitators of small-group collaboration. The current case study monitors a group of six prospective teachers and their instructor during a one-semester course. The instructor was a skilled mathematics teacher with strong beliefs about what is entailed in establishing a mini-culture of learning to learn together and about how to facilitate student group work in problem-solving situations. We describe the learning path followed by the instructor, including the digital environment. The findings show that by the end of the course, the students became more competent facilitators of learning to learn together.  相似文献   
36.
Im Beitrag werden zun?chst die verschiedenen in der mathematikdidaktischen Diskussion zu mathematical literacy vertretenen Positionen referiert sowie die Umsetzung von mathematical literacy als erkenntnisleitende Bildungskonzeption in der internationalen PISA-Studie sowie die Orientierung der deutschen Erg?nzungsstudie an dem Konzept einer mathematischen Grundbildung reflektiert. In einem zweiten Teil wird der Frage nachgegangen, welche Anforderungen an eine Konzeption mathematischer Literalit?t zu stellen sind, die den Bedingungen einer mehrsprachigen Schülerschaft gerecht wird. An einem Beispiel aus der eigenen empirischen Forschung wird dabei die Notwendigkeit der Berücksichtigung sprachlicher Prozesse beim Mathematiklernen aufgezeigt. Anschlie?end werden auf dieser Basis überlegungen zu einer eigenen Auffassung mathematischer Literalit?t als Bildungsziel mathematischer Erziehung formuliert.  相似文献   
37.
The emergent perspective (Yackel and Cobb, 1996) is a powerful theory for describing cognitive development within classrooms. Yackel and Cobb have shown that the formation of social and sociomathematical norms, and opportunities for learning are intertwined. The present study is an attempt to extend the range of application of the emergent perspective to middle high school classrooms. The learning environments we consider are rich in the sense that (i) the tasks in which students are engaged are open-ended problem-situations (ii) the activities around the tasks are multiphased, consisting of small group collaboration on problem solving, reporting and reflection in a classroom forum with the teacher (iii) the tools used are multi-representational software. We identify here some practices rooted in such rich environments from which several sociomathematical norms stemmed. The present study shows that socio-mathematical norms do not rise from verbal interactions only, but also from computer manipulations as communicative non-verbal actions. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   
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Bishop (1987) observed that being unable to answer a politicalknowledge question decreased self-reported interest in publicaffairs. This effect was unaffected by the introduction of upto 101 unrelated buffer items. In contrast, a single bufferitem that provided respondents with an external explanationfor their lack of knowledge greatly reduced the context effectin the present study. Implications for the operation of bufferitems are discussed.  相似文献   
40.
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