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1.
国外关于数学学习中多元外在表征的研究述评   总被引:1,自引:0,他引:1  
20世纪80年代以来,随着现代信息技术在教育领域的应用,多元外在表征的研究成了认知科学、教育技术、教育心理学等领域的热门话题.数学学习中多元外在表征的研究主要趋势是:综合运用多种理论和多种研究方法,深入探讨多元外在表征研究对数学学习的价值与意义,建构数学学习中多元表征研究的基本理论;系统思考各种因素探讨运用多元外在表征的教学设计,提高学习效率.  相似文献   

2.

To help students acquire mathematics and science knowledge and competencies, educators typically use multiple external representations (MERs). There has been considerable interest in examining ways to present, sequence, and combine MERs. One prominent approach is the concreteness fading sequence, which posits that instruction should start with concrete representations and progress stepwise to representations that are more idealized. Various researchers have suggested that concreteness fading is a broadly applicable instructional approach. In this theoretical paper, we conceptually analyze examples of concreteness fading in the domains of mathematics, physics, chemistry, and biology and discuss its generalizability. We frame the analysis by defining and describing MERs and their use in educational settings. Then, we draw from theories of analogical and relational reasoning to scrutinize the possible cognitive processes related to learning with MERs. Our analysis suggests that concreteness fading may not be as generalizable as has been suggested. Two main reasons for this are discussed: (1) the types of representations and the relations between them differ across different domains, and (2) the instructional goals between domains and subsequent roles of the representations vary.

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3.
Multiple external representations (MERs) have been widely used in science teaching and learning. Theories such as dual coding theory and cognitive flexibility theory have been developed to explain why the use of MERs is beneficial to learning, but they do not provide much information on pedagogical issues such as how and in what conditions MERs could be introduced and used to support students?? engagement in scientific processes and develop competent scientific practices (e.g., asking questions, planning investigations, and analyzing data). Additionally, little is understood about complex interactions among scientific processes and affordances of MERs. Therefore, this article focuses on pedagogical affordances of MERs in learning environments that engage students in various scientific processes. By reviewing literature in science education and cognitive psychology and integrating multiple perspectives, this article aims at exploring (1) how MERs can be integrated with science processes due to their different affordances, and (2) how student learning with MERs can be scaffolded, especially in a classroom situation. We argue that pairing representations and scientific processes in a principled way based on the affordances of the representations and the goals of the activities is a powerful way to use MERs in science education. Finally, we outline types of scaffolding that could help effective use of MERs including dynamic linking, model progression, support in instructional materials, teacher support, and active engagement.  相似文献   

4.
In recent years, researchers have become aware of the experiential grounding of scientific thought. Accordingly, research has shown that metaphorical mappings between experience-based source domains and abstract target domains are omnipresent in everyday and scientific language. The theory of conceptual metaphor explains these findings based on the assumption that understanding is embodied. Embodied understanding arises from recurrent bodily and social experience with our environment. As our perception is adapted to a medium-scale dimension, our embodied conceptions originate from this mesocosmic scale. With respect to this epistemological principle, we distinguish between micro-, meso- and macrocosmic phenomena. We use these insights to analyse how external representations of phenomena in the micro- and macrocosm can foster learning when they (a) address the students’ learning demand by affording a mesocosmic experience or (b) assist reflection on embodied conceptions by representing their image schematic structure. We base our considerations on empirical evidence from teaching experiments on phenomena from the microcosm (microbial growth and signal conduction in neurons) and the macrocosm (greenhouse effect and carbon cycle). We discuss how the theory of conceptual metaphor can inform the development of external representations.  相似文献   

5.
6.
Genetics Reasoning with Multiple External Representations   总被引:1,自引:0,他引:1  
This paper explores a case study of a class of Year 10 students (n=24) whose learning of genetics involved activities of BioLogica, a computer program that features multiple external representations (MERs). MERs can be verbal/textual, visual-graphical, or in other formats. Researchers claim that the functions of MERs in supporting student learning are to complement information or processes, to constrain the interpretation of abstract concepts, and to construct new viable conceptions. Over decades, research has shown that genetics remains linguistically and conceptually difficult for high school students. This case study using data from multiple sources enabled students' development of genetics reasoning to be interpreted from an epistemological perspective. Pretest-posttest comparison after six weeks showed that most of the students (n=20) had improved their genetics reasoning but only for easier reasoning types. Findings indicated that the MERs in BioLogica contributed to students' development of genetics reasoning by engendering their motivation and interest but only when students were mindful in their learning. Based on triangulation of data from multiple sources, MERs in BioLogica appeared to support learning largely by constraining students' interpretation of phenomena of genetics.  相似文献   

7.
When learning with abstract and scientific multiple external representations (MERs), low prior knowledge learners are said to have difficulties in using these MERs to achieve conceptual understanding. Yet little is known about what these limitations precisely entail. In order to understand this, we presented 101 learners with low prior knowledge of abstract scientific MERs to see (a) how many, and what kind of ideas (propositions) learners remembered from these MERs and (b) what the impact of these ideas is on conceptual understanding of the content. Propositional analysis indicates that learners created flawed internal representations. The discussion analyses the potentials that the learners have in using abstract representations to increase their understanding of scientific information and possible effects of instruction.  相似文献   

8.
Visual representations play a critical role in enhancing science, technology, engineering, and mathematics (STEM) learning. Educational psychology research shows that adding visual representations to text can enhance students’ learning of content knowledge, compared to text-only. But should students learn with a single type of visual representation or with multiple different types of visual representations? This article addresses this question from the perspective of the representation dilemma, namely that students often learn content they do not yet understand from representations they do not yet understand. To benefit from visual representations, students therefore need representational competencies, that is, knowledge about how visual representations depict information about the content. This article reviews literature on representational competencies involved in students’ learning of content knowledge. Building on this review, this article analyzes how the number of visual representations affects the role these representational competencies play during students’ learning of content knowledge. To this end, the article compares two common scenarios: text plus a single type of visual representations (T+SV) and text plus multiple types of visual representations (T+MV). The comparison yields seven hypotheses that describe under which conditions T+MV scenarios are more effective than T+SV scenarios. Finally, the article reviews empirical evidence for each hypothesis and discusses open questions about the representation dilemma.  相似文献   

9.
Research from brain science and the learning sciences support the notion that human cognition is grounded in our sensorimotor engagement with the physical world and that processes of learning can be shaped by our movements and actions. Increasing recognition that effective educational interventions can be seeded with embodied actions is paralleled by recent and rapid advances in sensing and motion capture technologies. These advances allow for a new wave of cyberlearning environments that permit learners to use their bodies to create and manipulate digital representations of core ideas in a variety of learning domains. Drawing on the research literature on embodied cognition and design principles for creating effective embodied educational simulations, we present the design of a cyberlearning platform called ELASTIC3S. We describe the design rationale and preliminary data from a small empirical study of the ELASTIC3S platform that address the potential for enhancing science, technology, engineering, and mathematics (STEM) learning and engagement through embodied interaction.  相似文献   

10.
Compared with research on the role of student engagement with expert representations in learning science, investigation of the use and theoretical justification of student-generated representations to learn science is less common. In this paper, we present a framework that aims to integrate three perspectives to explain how and why representational construction supports learning in science. The first or semiotic perspective focuses on student use of particular features of symbolic and material tools to make meanings in science. The second or epistemic perspective focuses on how this representational construction relates to the broader picture of knowledge-building practices of inquiry in this disciplinary field, and the third or epistemological perspective focuses on how and what students can know through engaging in the challenge of representing causal accounts through these semiotic tools. We argue that each perspective entails productive constraints on students’ meaning-making as they construct and interpret their own representations. Our framework seeks to take into account the interplay of diverse cultural and cognitive resources students use in these meaning-making processes. We outline the basis for this framework before illustrating its explanatory value through a sequence of lessons on the topic of evaporation.  相似文献   

11.
Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) sense making of connections by verbally explaining how different representations map to one another, and (2) perceptual fluency that allows students to fast and effortlessly use perceptual features to make connections among representations. Because these different competencies are acquired via different types of learning processes, they require different types of instructional support: sense-making activities and fluency-building activities. In a prior experiment, we showed benefits for combining sense-making activities and fluency-building activities. In the current work, we test how to combine these two forms of instructional support, specifically, whether students should first work on sense-making activities or on fluency-building activities. This comparison allows us to investigate whether sense-making competencies enhance students’ acquisition of perceptual fluency (sense-making-first hypothesis) or whether perceptual fluency enhances students’ acquisition of sense-making competencies (fluency-first hypothesis). We conducted a lab experiment with 74 students from grades 3–5 working with an intelligent tutoring system for fractions. We assessed learning processes and learning outcomes related to representational competencies and domain knowledge. Overall, our results support the sense-making-first hypothesis, but not the fluency-first hypothesis.  相似文献   

12.
ABSTRACT— Effective teaching should focus on representational change, which is fundamental to learning and education, rather than conceptual change, which involves transformation of theories in science rather than the gradual building of knowledge that occurs in students. This article addresses the question about how to develop more efficient strategies for promoting representational change across cognitive development. I provide an example of an integrated structural model that highlights the underlying cognitive structures that connect numbers, mathematical operations, and functions. The model emphasizes dynamic multiple representations that students can internalize within the number line and which lead to developing a dynamic mental structure. In teaching practice, the model focuses on a counting task format, which integrates a variety of activities, specifically addressing motor, visual, and verbal skills, as well as various types of learning transfer.  相似文献   

13.
There is growing research interest in both the challenges and opportunities learners face in trying to represent scientific understanding, processes and reasoning. These challenges are increasingly well understood by researchers, including integrating verbal, visual and mathematical modes in science discourse, and making strong conceptual links between classroom experiences and diverse 3D and 2D representations. However, a matching enhanced pedagogy of representation-rich learning opportunities, including their theoretical justification, is much less clearly established. Our paper reports on part of a three-year project to identify practical and theoretical issues entailed in developing a pedagogical framework to guide teacher understanding and practices to maximize representational opportunities for learners to develop conceptual understandings in science.  相似文献   

14.
Dealing with representations is a crucial skill for students and such representational competence is essential for learning science. This study analysed the relationship between representational competence and content knowledge, student perceptions of teaching practices concerning the use of different representations, and their impact on students' outcome over a teaching unit. Participants were 931 students in 51 secondary school classes. Representational competence and content knowledge were interactively related. Representational aspects were only moderately included in teaching and students did not develop rich representational competence although content knowledge increased significantly. Multilevel regression showed that student perceptions of interpreting and constructing visual-graphical representations and active social construction of knowledge predicted students' outcome at class level, whereas the individually perceived amount of terms and use of symbolic representations influenced the students' achievement at individual level. Methodological and practical implications of these findings are discussed in relation to the development of representational competence in classrooms.  相似文献   

15.
Concreteness fading has been proposed as a general instructional approach to support learning of abstract mathematics and science concepts. Accordingly, organizing external knowledge representations in a three-step concrete-to-idealized sequence should be more beneficial than the reverse, concreteness introduction, sequence. So far, evidence for the benefits of concreteness fading come mainly from studies investigating learning of basic mathematics concepts. Studies on learning natural science concepts are scarce and have not implemented the full three-step-sequence. In an experimental classroom study (N = 70), we compared concreteness fading and concreteness introduction in high school science education about electromagnetic induction using a detailed assessment. Furthermore, we explored whether these sequences differentially affect the use of the different representations during instruction. Both sequences were equally effective and there were no differences in using the representations. We discuss why our results question the proposed advantages of concreteness fading and highlight conceptual differences and learning goals across domains.  相似文献   

16.
生物信息学是现代生命科学发展过程中,生物医学与数理科学、计算机技术相结合而形成的新兴前沿交叉学科。运筹学在生物信息学中有着广泛应用,可为学生后续专业课学习和应用研究提供指导。文章结合生物信息学专业特点,对于如何提高运筹学在生物信息学专业中的教学质量和培养具有创新能力的生物信息学人才,探讨了运筹学在生物信息学专业教学中的教学目的、教学内容以及教学方法和手段。  相似文献   

17.
Recent accounts by cognitive scientists of factors affecting cognition imply the need to reconsider current dominant conceptual theories about science learning. These new accounts emphasize the role of context, embodied practices, and narrative‐based representation rather than learners’ cognitive constructs. In this paper we analyse data from a longitudinal study of primary school children’s learning to outline a framework based on these contemporary accounts and to delineate key points of difference from conceptual change perspectives. The findings suggest this framework provides strong theoretical and practical insights into how children learn and the key role of representational negotiation in this learning. We argue that the nature and process of conceptual change can be re‐interpreted in terms of the development of students’ representational resources.  相似文献   

18.
The move from learning science from representations to learning science with representations has many potential and undocumented complexities. This thematic analysis partially explores the trends of representational uses in science instruction, examining 80 research studies on diagram use in science. These studies, published during 2000–2014, were located through searches of journal databases and books. Open coding of the studies identified 13 themes, 6 of which were identified in at least 10% of the studies: eliciting mental models, classroom-based research, multimedia principles, teaching and learning strategies, representational competence, and student agency. A shift in emphasis on learning with rather than learning from representations was evident across the three 5-year intervals considered, mirroring a pedagogical shift from science instruction as transmission of information to constructivist approaches in which learners actively negotiate understanding and construct knowledge. The themes and topics in recent research highlight areas of active interest and reveal gaps that may prove fruitful for further research, including classroom-based studies, the role of prior knowledge, and the use of eye-tracking. The results of the research included in this thematic review of the 2000–2014 literature suggest that both interpreting and constructing representations can lead to better understanding of science concepts.  相似文献   

19.
The disavowal of positivist science by many educational researchers has resulted in a deepening polarization of research agendas and an epistemological divide that appears increasingly difficult to span. Despite a turning away from science altogether by some, and thus toward various forms of poststructuralist inquiry, this has not held back the renewed entrenchment of more narrow definitions by policy elites of what constitutes scientific educational research. The new sciences of complexity signal the emergence of a new scientific paradigm that challenges some of the core assumptions of positivism, while offering the potential to develop a new kind of social science that demands both rigour and imagination in coming to understand the emergence and behaviours of social systems and the subsystems that comprise them. The language, concepts and principles of complexity are central to the development of a new science of qualities to complement the science of quantities that has shaped our understanding of the physical and social worlds. Accomplishing this task promises to 1) open up new investigations that have thus far been beyond the purview of scientific study, 2) allow the study of social phenomena as fully embodied, or at least as more robust models than those represented in the abstracted empiricism upon which the sciences of quantities are predicated, and 3) allow for more coarse‐grained explanations and predictions of social phenomena to be legitimated as scientific. Both educational research and educational practice stand to gain from this expansion of the scientific repertoire to include rigorous and imaginative investigations of phenomena characterized by change and transformation.  相似文献   

20.
In our research, we investigated whether students will develop inquiry skills, such as hypothesis exploration and formulation and interpretation, and metacognitive skills, such as comprehension of new knowledge, as a result of a storytelling strategy employed during teaching. We also investigated whether students will utilize the skills and knowledge acquired in the learning process to explain everyday-life phenomena or applications of science. In order to achieve the above objectives, we carried out a bibliographical research, in which we established the certainty that modern thought is integrated in dialogical and narrative forms and that the conceptual approach, which places emphasis on the purely cognitive dimension of the process of knowledge and ignores inspiration or imagination, is ineffective. These conclusions necessitated our turning to other approaches for teaching and learning. We chose storytelling on account of its ability to cultivate the imagination and inspiration and to make science learning attractive to students. To confirm our findings, we conducted research on the effectiveness of storytelling in teaching science in five sixth-grade, primary-school classes. The findings of this research are described in our paper and seem to be encouraging.  相似文献   

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