Learning in the Liminal Space: A Semiotic Approach to Threshold Concepts

The threshold concepts approach to student learning and curriculum design now informs an empirical research base comprising over 170 disciplinary and professional contexts. It draws extensively on the notion of troublesomeness in a ‘liminal’ space of learning. The latter is a transformative state in the process of learning in which there is a reformulation of the learner’s meaning frame and an accompanying shift in the learner’s ontology or subjectivity. Within the extensive literature on threshold concepts, however, the notion of liminal space has remained relatively ill-defined. This paper explores this spatial metaphor to help clarify the difficulties that some teachers observe in the classroom in regard to their students’ understanding. It employs a novel and distinctive approach drawn from semiotic theory to to provide some explanatory insight into learning within the liminal space and render it more open to analysis. The paper develops its argument through four distinct phases. Firstly it explores the spatial metaphor of liminality to gain further purchase on the nature of this transformative space. The second section introduces semiotic theory and indicates how this will be used through a series of graphical and visual devices to render the liminal space more open to analysis. The third section then employs semiotic analysis to nine dimensions of pedagogical content knowledge to gain further insight into what may characterise student conceptual difficulty within the liminal state. The fourth and concluding section emphasises the role of context in conceptual discrimination before advocating a transactional curriculum inquiry approach to future research in this field

A multimodal social semiotic analysis of lecturer pedagogy for the physics concept of angular motion in physiotherapy education

Angular motion is a foundational concept in physiotherapy, applied when measuring joint range of motion (rom) in assessment and treatment of patients. Accordingly, first-year physiotherapy students are commonly taught rom measurement skills in their applied Physiotherapy course and are introduced to the concept of angular motion in their Physics course where their learning is primarily assessed through problem-solving. However, studies of student learning of angular motion show that while students can solve problems, they do not always have the necessary conceptual understanding to use their procedures appropriately and flexibly in other disciplines. Physics education researchers also demonstrate that accessing, learning, and communicating the conceptual and procedural knowledge involves using the affordances of multimodal language. Thus, a promising line of inquiry is how lecturers use the affordances of multimodal language in pedagogy to create opportunities for students to develop both conceptual and procedural understanding. My study focuses on a lecturer's pedagogy for the concept of angular motion in a Physics course for first year physiotherapy students at a South African university. Specifically, I use a multimodal social semiotic perspective to describe what and how she uses the affordances of multimodal language − verbal talk, written text, images, symbols and symbolic equations, gestures, and objects − to give presentational, organisational and orientational meanings. I also explain her pedagogical choices in the meaning-making process. In this focused ethnographic study, I observed lecture recordings to produce data on the lecturer's pedagogy. A subsequent semi-structured interview with the lecturer was analysed to understand the lecturer's choices. The multimodal social semiotic analysis shows that the lecturer organised her pedagogy to develop both conceptual and procedural meaning, while also relating these meanings to problem-solving, and to orientate students to the relevance of angular motion in physiotherapy. This organization was informed by her comprehensive understanding of the physics content, and its relation to the Physiotherapy course and physiotherapy practice, and the experiences and resources of the students in the class. Evident in her pedagogy was a pattern of starting with a focus on conceptual meaning using verbal talk, images, and gestures, following which she integrated symbols and symbolic equations which functioned as a link to focussing on procedural meaning as applied in problem-solving. This study contributes to existing physics and physiotherapy education research, an in-depth description and explanation of a lecturer's motivated, contextualised use of multimodal language to give meaning to the physics of angular motion for physiotherapy. These learnings and the multimodal social semiotic tools by which they were produced can be put to work in education development practice with disciplinary lecturers. Specifically, they serve to make explicit the affordances of various language modes for communicating particular conceptual and procedural meanings as a relevant for physiotherapy for planning pedagogy

Frame it simple! : towards a theory of conceptual designing

This study develops an empirically and theoretically grounded explanation of conceptual designing. Conceptual designing is a concept-mediated planning activity that is typically collaborative and involves the use of semiotic resources such as talk, text, figures, pictures, visualisations, diagrams, sketching, and gesturing. Central to conceptual designing is the intent to articulate high-level simplifications, design concepts, which guide the strategic decision-making over a thing-to-be-designed and inform detailed designing. The original main contribution of the study is an explanation of conceptual designing in terms of project-specific learning. It is assumed that the changes in the ways a project team articulates, talks about, refers to, and makes changes to a thing-to-be-designed, are indicative of project-specific learning. A novel method for the investigation of project-specific learning is presented, namely Framing Analysis of Design Articulation (FADA), and a set of analytical concepts for the investigation and conduct of conceptual designing are introduced. With FADA it is possible to investigate designers’ construction of semiotic resources, which are necessary when designers create a framing strategy for their project. As the result of investigating two real projects the study sheds light on to the deep dilemmas inherent in conceptual designing as well as delivers concrete insights for its facilitation. The work is conducted as part of the practice-based tradition, and aspires to be associated to such works that have been able to make a doubly methodological contribution; to the methodology of studying design practice by introducing theoretical insights, methods, and analytical concepts; and to the approach that designers employ in conducting conceptual designing. The key benefit of the present work for designers is the uncovering of the importance of the preliminary activities of developing semiotic resources for the construction of the design concept, i.e. the value of priming, and the significance of preliminary structuring of attention and articulation through what will be called pre-framing

Conceptually driven and visually rich tasks in texts and teaching practice: the case of infinite series

The study we report here examines parts of what Chevallard calls the institutional dimension of the students’ learning experience of a relatively under-researched, yet crucial, concept in Analysis, the concept of infinite series. In particular, we examine how the concept is introduced to students in texts and in teaching practice. To this purpose, we employ Duval's Theory of Registers of Semiotic Representation towards the analysis of 22 texts used in Canada and UK post-compulsory courses. We also draw on interviews with in-service teachers and university lecturers in order to discuss briefly teaching practice and some of their teaching suggestions. Our analysis of the texts highlights that the presentation of the concept is largely a-historical, with few graphical representations, few opportunities to work across different registers (algebraic, graphical, verbal), few applications or intra-mathematical references to the concept's significance and few conceptually driven tasks that go beyond practising with the application of convergence tests and prepare students for the complex topics in which the concept of series is implicated. Our preliminary analysis of the teacher interviews suggests that pedagogical practice often reflects the tendencies in the texts. Furthermore, the interviews with the university lecturers point at the pedagogical potential of: illustrative examples and evocative visual representations in teaching; and, student engagement with systematic guesswork and writing explanatory accounts of their choices and applications of convergence tests

Information, knowledge and the context of interaction

Representing knowledge as information content alone is insufficient in providing us with an understanding of the world around us. A combination of context as well as reasoning of the information content is fundamental to representing knowledge, within information –based systems. The field of knowledge representation and knowledge management has thus far been concerned with providing structures and theories that can lead to some form of qualified intelligent reasoning, and contextualised information. By drawing upon previous research and applying and extending concepts of Semiotics and Symbiosis from the interaction design school of thought, this paper presents a conceptual framework for establishing the interplay between knowledge and users of knowledge via information systems constructs. Subsequently, by drawing upon notions of interfaces to knowledge, a conceptual framework which describes the relationship between the semiotic, symbiotic and interface to knowledge presented, along with a discussion of contemporary issues common to the field of knowledge management is developed

Coordinating visualizations of polysemous action: Values added for grounding proportion

We contribute to research on visualization as an epistemic learning tool by inquiring into the didactical potential of having students visualize one phenomenon in accord with two different partial meanings of the same concept. 22 Grade 4-6 students participated in a design study that investigated the emergence of proportional-equivalence notions from mediated perceptuomotor schemas. Working as individuals or pairs in tutorial clinical interviews, students solved non-symbolic interaction problems that utilized remote-sensing technology. Next, they used symbolic artifacts interpolated into the problem space as semiotic means to objectify in mathematical register a variety of both additive and multiplicative solution strategies. Finally, they reflected on tensions between these competing visualizations of the space. Micro-ethnographic analyses of episodes from three paradigmatic case studies suggest that students reconciled semiotic conflicts by generating heuristic logico-mathematical inferences that integrated competing meanings into cohesive conceptual networks. These inferences hinged on revisualizing additive elements multiplicatively. Implications are drawn for rethinking didactical design for proportions. © 2013 FIZ Karlsruhe