Interpretations of graphs by university biology students and practicing scientists: Toward a social practice view of scientific representation practices

Using graphs is a key social practice of professional science. As part of a research program that investigates the development of graphing practices from elementary school to professional science activities, this study was designed to investigate similarities and differences in graph‐related interpretations between scientists and college students engaged in collective graph interpretation. Forty‐five students in a second‐year university ecology course and four scientists participated in the study. Guided by domain‐ specific concerns, scientists' graph‐related activities were characterized by a large number of experience‐based, domain‐specific interpretive resources and practices. Students' group based activities were characterized by the lack of linguistic distinctions (between scientific terms) which led to ambiguities in group negotiations; there was also a lack of knowledge about specific organism populations which helped field ecologists construct meaning. Many students learned to provide correct answers to specific graphing questions but did not come to make linguistic distinctions or increase their knowledge of specific populations. In the absence of concerns other than to do well in the course, students did not appear to develop any general interpretive skills for graphs, but learned instead to apply the professor's interpretation. This is problematic because, as we have demonstrated, there are widely differing viable interpretations of the graph. Suggestions for changes in learning environments for graphing that should alleviate this problem are made. © 1999 John Wiley & Sons, Inc. J Res Sci Teach 36: 1020–1043, 1999     

文化历史活动理论与成人发展研究探析

文化历史活动理论为教育研究提供了一个基本、系统的分析工具,该理论以活动为研究单位,探究人们在社会实践特别是教育活动中获得的发展。本文通过梳理文化历史活动理论的研究视野与核心思想,从符号中介和活动系统两个维度对成人教育中有关发展的问题做进一步思考。     

Educational semiotic: Threat or menace?

In Donald Cunningham's article for this issue ofEducational Psychology Review, he assumes that there is a need for an educational semiotic. In this paper, I examine that implicit assumption. Upon investigation, I conclude that an educational semiotic is necessary to help develop an inquiry of understanding to complement the current inquiry of knowledge. This inquiry of understanding builds upon the fundamental ideas of both Saussure and Peirce. I conclude by considering an inquiry of understanding as a threat (or menace) to the status quo in educational research and by calling for a broad-based model of research that allows for the new and preserves the best of the old.     

Reification in the Learning of Square Roots in a Ninth Grade Classroom: Combining Semiotic and Discursive Approaches

This paper reports on combining semiotic and discursive approaches to reification in classroom interactions. It focuses on the discursive characteristics and semiotic processes involved in the teaching and learning of square roots in a ninth grade classroom in Japan. The purpose of this study is to characterize the development of mathematical discourses in a series of mathematics lessons in terms of the commognitive framework and the model of semiotic chaining. To achieve this objective, the notion of reification is revisited from cognitive, semiotic, and discursive points of view, and classroom activities are observed and analysed in terms of the combined theoretical framework. The results suggest that the model of semiotic chaining is not incommensurable with a strong discursive approach and the changes of meta-discursive rules—an essential aspect of the reification of new signifiers—that take place in the phases of the learning of addition on square roots.     

Qualitative graphing in an authentic inquiry context: How construction and critique help middle school students to reason about cancer

Inquiry instruction often neglects graphing. It gives students few opportunities to develop the knowledge and skills necessary to take advantage of graphs, and which are called for by current science education standards. Yet, it is not well known how to support graphing skills, particularly within middle school science inquiry contexts. Using qualitative graphs is a promising, but underexplored approach. In contrast to quantitative graphs, which can lead students to focus too narrowly on the mechanics of plotting points, qualitative graphs can encourage students to relate graphical representations to their conceptual meaning. Guided by the Knowledge Integration framework, which recognizes and guides students in integrating their diverse ideas about science, we incorporated qualitative graphing activities into a seventh grade web-based inquiry unit about cell division and cancer treatment. In Study 1, we characterized the kinds of graphs students generated in terms of their integration of graphical and scientific knowledge. We also found that students (n = 30) using the unit made significant learning gains based on their pretest to post-test scores. In Study 2, we compared students' performance in two versions of the same unit: One that had students construct, and second that had them critique qualitative graphs. Results showed that both activities had distinct benefits, and improved students' (n = 117) integrated understanding of graphs and science. Specifically, critiquing graphs helped students improve their scientific explanations within the unit, while constructing graphs led students to link key science ideas within both their in-unit and post-unit explanations. We discuss the relative affordances and constraints of critique and construction activities, and observe students' common misunderstandings of graphs. In all, this study offers a critical exploration of how to design instruction that simultaneously supports students' science and graph understanding within complex inquiry contexts.     

Interpreting unfamiliar graphs: A generative, activity theoretic model

Research on graphing presents its results as if knowing and understanding were something stored in peoples' minds independent of the situation that they find themselves in. Thus, there are no models that situate interview responses to graphing tasks. How, then, we question, are the interview texts produced? How do respondents begin and end utterances? And, what is the relation between words and gestures used as part of the communication? Based on a database developed in two studies with research scientists (N = 37), we developed a theoretical framework using cultural-historical activity theory for understanding the texts produced during interviews. Our framework addresses three major findings, whose implications are discussed in the paper. First, the interview text is the contingent and situated product of the entire activity system, including interviewer and other aspects of the setting; the interview text can therefore not be reduced to the cognitive properties of the individual interviewee. Second, the interpretation unfolds in time, shaping the way the graph itself is perceived; unlike a written text that accompanies a graph, the verbally produced interview text therefore has to be analyzed through a moving interpretive window without recourse to subsequently produced talk. Third, gestures, speech, and the perceptual aspects of the graph currently salient to the interviewee, have to be understood as expressions that are irreducible to one another, requiring comprehensive research reports to present all modes of concurrent expression.     

Challenging the tyranny of the five‐paragraph essay: teachers and students as semiotic boundary workers in classroom and digital space

This article addresses several challenges faced by educators and students in English classrooms in the US–Mexico borderlands region that will resonate with educators more broadly. I present how Ms Smith, the predominately Latino students in her high school writing class and I moved beyond what Ms Smith called the “tyranny of the five‐paragraph essay” used for standardised tests so that students were able to make personally and academically meaningful arguments in their writing. I examine how we collaboratively mobilised interests, motivations and diverse semiotic resources across out‐of‐school and in‐school contexts in the process of developing multimodal and hybrid genres and texts. First, I describe how Ms Smith and I crafted hybrid, digitally mediated classroom spaces and essay assignments informed by students' identity and literacy practices within digital networks. Next, I examine how three Latina students used semiotic resources and issues circulating in the different spaces of their lives to confidently argue their perspectives within the hybrid genres we created. From this collaborative work, I suggest that thinking of students and teachers as “semiotic boundary workers” provides a useful framework for practitioners who want to enable young people to draw on their practices and digital tools and engage their expansive, networked and creative affordances in academic contexts.     

Chemical understanding and graphing skills in an honors case‐based computerized chemistry laboratory environment: The value of bidirectional visual and textual representations

The case‐based computerized laboratory (CCL) is a chemistry learning environment that integrates computerized experiments with emphasis on scientific inquiry and comprehension of case studies. The research objective was to investigate chemical understanding and graphing skills of high school honors students via bidirectional visual and textual representations in the CCL learning environment. The research population of our 3‐year study consisted of 857 chemistry 12th grade honors students from a variety of high schools in Israel. Pre‐ and postcase‐based questionnaires were used to assess students' graphing and chemical understanding–retention skills. We found that students in the CCL learning environment significantly improved their graphing skills and chemical understanding–retention in the post‐ with respect to the prequestionnaires. Comparing the experimental students to their non‐CCL control peers has shown that CCL students had an advantage in graphing skills. The CCL contribution was most noticeable for experimental students of relatively low academic level who benefit the most from the combination of visual and textual representations. Our findings emphasize the educational value of combining the case‐based method with computerized laboratories for enhancing students' chemistry understanding and graphing skills, and for developing their ability to bidirectionally transfer between textual and visual representations. © 2008 Wiley Periodicals, Inc. J Res Sci Teach 45: 219–250, 2008.     

Systemic functional multimodal discourse analysis of teaching students developing classroom materials

ABSTRACT

Multimodality has been a growing research interest in the field of applied linguistics. With the actor-network theory as an analytic framework, the purpose of the present study was to explore how university students of Teaching English as a Foreign Language (TEFL) take advantage of both material and non-material semiotic resources while being involved in the process of developing classroom activities. Furthermore, the semiotic resources of these students including their language, gaze, and gesture were analyzed using systemic functional multimodal discourse analysis (SF-MDA). To do this, using an ethnomethodology, we videotaped the interaction of a group of 6 TEFL students developing materials, for the improvement of learners’ intercultural competence, on the topic of food. The findings indicated that the participants developed these materials as they interacted with each other, as human semiotic resources, as well as their digital tools, as non-human resources. In addition, while mainly expressing their mental processes, they also conveyed positive attitudes and built negotiation expanding space using their gesture with both fast and slow graduation. Their gaze was also engaged, directed at both the group members and objects developing the classroom activities.     

Developing strategic readers: a multimodal analysis of a primary school teacher's use of speech,gesture and artefacts

Research on implementing reading strategy instruction has primarily focused on teachers' verbal communication with limited attention to other semiotic resources such as gesture and artefacts. In this paper, we construct a ‘telling case’ on the basis of how one primary teacher from the United States used speech, gesture and artefacts as a means of communication while instructing her students in reasons to predict when reading. Data sources for this case study consisted of field notes, artefacts and digital video. We analysed the teacher's use of gesture, speech and artefacts from a social semiotic multimodal perspective. Findings indicate that the teacher created meaning by interweaving multiple modes in the communicative contexts of strategy instruction using speech, deictic gestures, metaphoric gestures and artefacts. These findings are important to reading strategy instruction because much of the research and discussion of practice to date has centred on the instruction of reading strategies using teacher and student speech and not attending to the use of semiotic resources beyond speech.     

图形计算器在中学数学探究性学习活动中的应用

倡导学生探究性学习活动已成为中学数学课堂教学改革的热点问题。其中，图形计算器的应用对促进学生的探究性活动具有重要的作用。将图形计算器有效地应用于中学数学教学，主要可从教学内容选择、教学过程设计、教学问题解析3方面来 实现。在使用图形计算器进行教学时要注意；及时向学生提供技术指导；采用灵活多样的教学组织形式。     

Facilitating metacognitive talk: a research and learning tool

This paper describes a research tool which aims to gather data about pupils' views of learning and teaching, with a particular focus on their thinking about their learning (metacognition). The approach has proved to be an adaptable and effective technique to examine different learning contexts from the pupils' perspective, while also acting as an aid to reflective dialogue between pupils and teachers as part of the teaching and learning process. A range of templates have been created as psychological or semiotic tools. They form the basis of a mediated interview by providing an image of the learning environment or activity on which the research is focused. The image then becomes the stimulus for a three‐way interaction between the researcher (or the teacher), the pupil and the template. This paper provides examples from a number of research projects where the technique has been used to gather data in classrooms.     

Introduction to Proof: The Mediation of a Dynamic Software Environment

This paper, which reports on a long-term teaching experiment carried out in the 9^th and 10^th grades of a scientific highschool, is part of a larger co-ordinated research project. The workconstitutes a `research for innovation', in which action in the classroom isboth a means and result of a study aimed at introducing pupils totheoretical thinking and at studying the ways in which this process isrealised.The purpose of the study is to clarify the role of a particular software,Cabri-géomètre, in the teaching/learning process. Assuming aVygotskian perspective, attention is focussed on the social construction ofknowledge and on the semiotic mediation accomplished through culturalartefacts; the functioning of specific elements of the software will bedescribed and analysed as instruments of semiotic mediation used by theteacher in classroom activities.     

On the Historical and Ideal Nature of Human Rights: reading Human Rights and Human Diversity by A.J.M.Milne

Taking as its exegetic point of departure Peirce's outline of a semiotic theory of cognition from the mid 1890s, this paper explores the relevance of this outline to a theory of learning and also to a broader, normative vision of education. Firstly, besides providing for fallibilism in philosophical inquiry Peirce's outline accords with critical strategies of his fellow pragmatists, such as William James's detection of the ‘psychologist's fallacy’ and John Dewey's rejection of the ‘philosophical fallacy’. It is pointed out that this merit of Peirce's outline is due to his abstract and often neglected notion of a prespecialised scientific intelligence. Secondly, the paper shows that Peirce's semiotic approach to prescientific learning processes conditioning all kinds of theoretical activity may indeed complement James's and Dewey's contributions: giving careful attention to the work of linguistic and paralinguistic signs in such learning processes Peirce's analysis captures indexical and iconic aspects, as well as symbolic aspects of linguistic interaction and experientially constrained dialogue. Following Peirce's analysis the paper considers how the iconicity of linguistic structure, ostensive acts and the practical situatedness of language use are pre‐conditions of experiential learning in every day life as well as in scientific learning. It is also shown how this semiotic analysis is connected with Peirce's important notion of abduction. Finally, it is pointed out that a broader vision of education may issue from Peirce's semiotic analysis and that such a vision would emphasise that the life experience of individuals entering educational institutions should be made to bear on the objectives as well as the teaching practices of educational institutions.     

I BOOK REVIEWS

This study examines the influence of graphing calculators on a teacher's assessment practices in a college algebra course. The researcher focused on three techniques of alternative assessment: oral discourse, teacher observations, and problem‐solving investigations. The teacher's assessment practices were revealed during 6 weeks of classroom observations. The researcher examined the teacher's assessment practices before and after the teacher used graphing calculators as tools for teaching and learning mathematics. The use of the graphing calculators enhanced the teacher's assessment practices as related to oral discourse, classroom observations, and problem‐solving investigations. The results of the study indicate the potential for technological tools to influence teachers’ practices of alternative assessment in the mathematics classroom.     

On the Narrative Nature of Young Children's Iconic Representations: Some evidence and implications

Reflection on the relationship between a sign and its meaning (i.e. semiotic activity) is a fundamental form of cognitive activity that already occurs at an early age. The improvement of this semiotic activity in young children prepares for their later learning activity. Iconic representations are one important category of signs for young children (3‐7 years old). Iconic representations (drawings, diagrams, schemes) are generally conceived of as means bridging the gap between early enactive, perception‐bound thinking and abstract‐symbolical thinking. From the Vygotskian perspective iconic representations are complex signs referring to some object (situation, action) in a special way. On the bases on the analysis of children's drawings it is argued that iconic representations are narrative in nature for young children. Children tend to supplement their drawings with verbal symbols in order to make sure that their intended meanings are maximally clear. In doing so, children learn to carry out semiotic activity and improve this activity with the help of more abstract symbols     

Embodied design: constructing means for constructing meaning

Design-based research studies are conducted as iterative implementation-analysis-modification cycles, in which emerging theoretical models and pedagogically plausible activities are reciprocally tuned toward each other as a means of investigating conjectures pertaining to mechanisms underlying content teaching and learning. Yet this approach, even when resulting in empirically effective educational products, remains under-conceptualized as long as researchers cannot be explicit about their craft and specifically how data analyses inform design decisions. Consequentially, design decisions may appear arbitrary, design methodology is insufficiently documented for broad dissemination, and design practice is inadequately conversant with learning-sciences perspectives. One reason for this apparent under-theorizing, I propose, is that designers do not have appropriate constructs to formulate and reflect on their own intuitive responses to students’ observed interactions with the media under development. Recent socio-cultural explication of epistemic artifacts as semiotic means for mathematical learners to objectify presymbolic notions (e.g., Radford, Mathematical Thinking and Learning 5(1): 37–70, 2003) may offer design-based researchers intellectual perspectives and analytic tools for theorizing design improvements as responses to participants’ compromised attempts to build and communicate meaning with available media. By explaining these media as potential semiotic means for students to objectify their emerging understandings of mathematical ideas, designers, reciprocally, create semiotic means to objectify their own intuitive design decisions, as they build and improve these media. Examining three case studies of undergraduate students reasoning about a simple probability situation (binomial), I demonstrate how the semiotic approach illuminates the process and content of student reasoning and, so doing, explicates and possibly enhances design-based research methodology.