Understanding and Enhancing the Use of Multiple External Representations in Chemistry Education

Theories on learning with Multiple External Representations (MER) claim that low prior knowledge learners in science have difficulties using MER, which are seen as necessary to achieve a conceptual understanding. In two experiments, we analyze the mechanisms underlying the learning of chemistry with MER. Our first experiment focuses on how MER can support learning. We found no difference in learning gains of conceptual understanding, regardless of the format (whether MER were provided or not). It is concluded that chemical MER on themself cannot be seen as learning aids. The second experiment compares three types of instructional aids (prompts, prompts with an answer, and note-taking) to determine which types of aids enhance learning with MER. Contrary to the findings of Seufert (Learn Instr 13:227?C237, 2003), path-analysis suggests that the lowest prior knowledge group benefits the most from instructional aids such as prompts and note-taking. These aids guide learners?? attention towards one specific representational format (symbols), while other formats (submicroscopic representations) receive less attention.     

Pedagogical Affordances of Multiple External Representations in Scientific Processes

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.     

Making the invisible visible: enhancing students’ conceptual understanding by introducing representations of abstract objects in a simulation

This study aimed to identify if complementing representations of concrete objects with representations of abstract objects improves students’ conceptual understanding as they use a simulation to experiment in the domain of Light and Color. Moreover, we investigated whether students’ prior knowledge is a factor that must be considered in deciding when to use representations of abstract objects. A pre-post comparison study design was used, involving 69 participants assigned to two conditions. The first condition consisted of 36 students who had access to a simulation with representations of concrete objects, whereas the second condition consisted of 33 students who had access to a simulation with representations of both concrete and abstract objects. Both conditions used the same inquiry-oriented curriculum materials, consisting of three sections that included physical phenomena with increasingly complex underlying mechanisms, so that the third section’s mechanisms were more complex in nature than those in the first two sections. Tests were administered to assess students’ conceptual understanding before and after the presentation of the curricular material as a whole, as well as before and after each of its three sections. Results revealed that the presence of representations of abstract objects was helpful for the first two sections, but only for students with low prior knowledge. On the third, most complex section, also the students with higher prior knowledge profited from the presence of abstract objects. From these findings, we conjecture that for physical phenomena with a lower level of complexity, students with high prior knowledge are able to mentally construct the necessary abstract concepts on their own, whereas for higher levels of complexity they need an explicit representation of the abstract objects in the learning environment.     

Understanding Starts in the Mesocosm: Conceptual metaphor as a framework for external representations in science teaching

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.     

The Virtual Solar System Project: Developing Conceptual Understanding of Astronomical Concepts Through Building Three-Dimensional Computational Models

The Virtual Solar System (VSS) course described in this paper is one of the first attempts to integrate three-dimensional (3D) computer modeling as a central component of an introductory undergraduate astronomy course. Specifically, this study assessed the changes in undergraduate university students' understanding of astronomy concepts as a result of participating in an experimental introductory astronomy course in which the students constructed 3D models of different astronomical phenomena. In this study, we examined students' conceptual understanding concerning three foundational astronomical phenomena: the causes of lunar and solar eclipses, the causes of the Moon's phases, and the reasons for the Earth's seasons. Student interviews conducted prior to the course identified a range of student alternative conceptions previously identified in the literature regarding the dynamics and mechanics of the Solar System. A previously undocumented alternative conception to explain lunar eclipses is identified in this paper. The interviews were repeated at the end of the course in order to quantitatively and qualitatively assess any changes in student conceptual understanding. Generally, the results of this study revealed that 3D computer modeling can be a powerful tool in supporting student conceptualization of abstract scientific phenomena. Specifically, 3D computer modeling afforded students the ability to visualize abstract 3D concepts such as the line of nodes and transform them into conceptual tools, which in turn, supported the development of scientifically sophisticated conceptual understandings of many basic astronomical topics. However, there were instances where students' conceptual understanding was incomplete and frequently hybridized with their existing conceptions. These findings have significant bearing on when and in what domains 3D computer modeling can be used to support student conceptual understanding of astronomy concepts.     

Confidence in prior knowledge,self-efficacy,interest and prior knowledge: Influences on conceptual change

This study explored how confidence in prior knowledge, self-efficacy, interest, and prior knowledge interact in conceptual change learning. One hundred and sixteen college students completed an assessment of confidence in prior knowledge, self-efficacy, interest, prior scientific understanding, and prior misconceptions before reading a refutation text on seasonal change. Students’ misconceptions and scientific understanding of seasonal change was then assessed before and after reading a refutation text, and again at a two week delayed posttest. Three profiles of students emerged based on their confidence in prior knowledge, self-efficacy, interest, prior scientific understanding, and prior misconceptions. The profiles included: (1) Low (low confidence, self-efficacy, interest, and prior scientific understanding and high prior misconceptions), (2) mixed (high confidence, self-efficacy, and interest, but low prior scientific understanding and high prior misconceptions), and (3) high (high confidence, self-efficacy, interest, and prior scientific understanding and low prior misconceptions). Results indicated that the mixed profile appeared to be most productive for conceptual change and that learner characteristics most productive for conceptual change learning may differ from those most productive in other learning situations.     

Representational competence: towards a distributed and embodied cognition account

Multiple external representations (MERs) are central to the practice and learning of science, mathematics and engineering, as the phenomena and entities investigated and controlled in these domains are often not available for perception and action. MERs therefore play a twofold constitutive role in reasoning in these domains. Firstly, MERs stand in for the phenomena and entities that are imagined, and thus make possible scientific investigations. Secondly, related to the above, sensorimotor and imagination-based interactions with the MERs make possible focused cognitive operations involving these phenomena and entities, such as mental rotation and analogical transformations. These two constitutive roles suggest that acquiring expertise in science, mathematics and engineering requires developing the ability to transform and integrate the MERs in that field, in tandem with running operations in imagination on the phenomena and entities the MERs stand for. This core ability to integrate external and internal representations and operations on them – termed representational competence (RC) – is therefore critical to learning in science, mathematics and engineering. However, no general account of this core process is currently available. We argue that, given the above two constitutive roles played by MERs, a theoretical account of representational competence requires an explicit model of how the cognitive system interacts with external representations, and how imagination abilities develop through this process. At the applied level, this account is required to develop design guidelines for new media interventions for learning science and mathematics, particularly emerging ones that are based on embodied interactions. As a first step to developing such a theoretical account, we review the literature on learning with MERs, as well as acquiring RC, in chemistry, biology, physics, mathematics and engineering, from two perspectives. First, we focus on the important theoretical accounts and related empirical studies, and examine what is common about them. Second, we summarise the major trends in each discipline, and then bring together these trends. The results show that most models and empirical studies of RC are framed within the classical information processing approach, and do not take a constitutive view of external representations. To develop an account compatible with the constitutive view of external representations, we outline an interaction-based theoretical account of RC, extending recent advances in distributed and embodied cognition.     

Task-dependent construction of mental models as a basis for conceptual change

Learning can be seen as a task-oriented process which often requires the reorganization of existing knowledge, usually referred to as conceptual change. This paper describes a theoretical framework for the analysis of conceptual change that considers conceptual knowledge as a generative cognitive tool for the creation of more specific mental representations — propositional symbolic structures and analog mental models. According to this view, conceptual change is based on a task-oriented interaction between these different kinds of mental representations. The assumption is made that it is possible to foster conceptual change by presenting to students well-defined tasks that stimulate the construction of elaborated mental models as well as an intensive interaction between these models and the corresponding propositional representations. In order to test this assumption an empirical study was conducted, in which subjects had to express their prior knowledge about a complex subject matter from the field of geography (time differences on the earth), which contained various conceptual deficits. The subjects were then randomly assigned to different groups who received the same learning material but had to solve different learning tasks requiring differently structured mental models. Afterwards, the subjects were asked to express their knowledge about the subject matter again and were tested for understanding with a comprehension test. The results support the view that a task-oriented interaction between propositional structures and mental models can help learners to evaluate the consistency of their conceptual knowledge. Accordingly, conceptual deficits result in the formation of mental models with an inadequate structure. Such deficits can be detected if the respective model is used in a sufficiently variable way, whereas they can remain unnoticed if it is used in a limited manner.     

Forms of Knowing Mathematics: What Preservice Teachers Should Learn

What important ideas about forms of knowing mathematics should be included in mathematics methods courses for preservice teachers? Ideas are proposed that are related to categories in Shulman's (1986) framework of teacher knowledge. There is a brief discussion of the implications each idea holds for teaching mathematics, and some suggestions are given about experiences that may help preservice teachers appreciate these notions. One portion of Shulman's pedagogical content knowledge construct is knowing what makes a subject difficult and what preconceptions students are apt to bring. Three of the ideas offered for inclusion in a methods course are related to this aspect of pedagogical content knowledge: (1) Understanding students' understanding is important, (2) Students knowing in one way do not necessarily know in the other(s), and (3) intuitive understanding is both an asset and a liability. The last two ideas, are related to the other portion of pedagogical content knowledge, knowing how to make the subject comprehensible to learners. These ideas are (4) certain characteristics of instruction appear to promote retention, and (5) providing alternative representations and recognizing and analyzing alternative methods are important. Readers are asked to consider if the suggestions offered are appropriate and how they might best be taught.     

One Instructional Sequence Fits all? A Conceptual Analysis of the Applicability of Concreteness Fading in Mathematics,Physics, Chemistry,and Biology Education

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.

     

Dynamic Science Assessment: A New Approach for Investigating Conceptual Change

Starting from the premise that understanding conceptual change requires studying it while it occurs, this article describes a new research methodology in which students' knowledge is assessed in the context of mediated learning situations that attempt to foster conceptual change. The methodology builds on two ideas: that conceptual change in science is a matter of appropriation by individuals of culturally based knowledge (of the scientific community), and that understanding such change requires a mediated context in which the students' activity (actions and thinking) is shaped by a more experienced other who reflects the cultural norms or ideals of the scientific community that facilitate knowledge production. Specific assessments developed with these ideas in mind, which we call dynamic science assessments (DSAs), function to determine students' potential to change their understanding and as a result inform us about the process of conceptual change toward scientific knowledge. Results of a DSA about electricity that we conducted with upper elementary school children (n = 28) indicated that it was possible to foster conceptual change and to discriminate children with respect to their potential to develop scientifically accurate conceptions of current and resistance. These findings indicate the promise of using mediated learning situations, such as a DSA to study conceptual change in science, and we discuss the direction of future work given the conservative mediation in the assessments conducted in this particular instance.     

From Words to Concepts: Focusing on Word Knowledge When Teaching for Conceptual Understanding Within an Inquiry-Based Science Setting

This qualitative video study explores how two elementary school teachers taught for conceptual understanding throughout different phases of science inquiry. The teachers implemented teaching materials with a focus on learning science key concepts through the development of word knowledge. A framework for word knowledge was applied to examine the students’ level of word knowledge manifested in their talk. In this framework, highly developed knowledge of a word is conceptual knowledge. This includes understanding how the word is situated within a network of other words and ideas. The results suggest that students’ level of word knowledge develops toward conceptual knowledge when the students are required to apply the key concepts in their talk throughout all phases of inquiry. When the students become familiar with the key concepts through the initial inquiry activities, the students use the concepts as tools for furthering their conceptual understanding when they discuss their ideas and findings. However, conceptual understanding is not promoted when teachers do the talking for the students, rephrasing their responses into the correct answer or neglecting to address the students’ everyday perceptions of scientific phenomena.     

Supporting coherence formation in learning from multiple representations

Multimedia learning environments combine multiple forms of representations like texts, static and animated pictures or graphs. Knowledge acquisition from multiple representations requires that the learner create referential connections between corresponding elements and corresponding structures in different representations. As this process is usually difficult, learners frequently fail to construct coherent mental representations and, thus, do not sufficiently understand the subject matter. This paper analyzes the effects of different kinds of instructional help on the process of coherence formation from multiple representations by learners with different prior knowledge. Three groups of university students with different domain-specific knowledge had to learn a complex subject matter from chemistry using six different forms of representation. In addition, a first group received directive help for coherence formation. A second group received non-directive help, and a third group received no instructional help. Results indicate that directive help is effective for recall performance because of its summarizing and repeating function. Furthermore, learners with different levels of prior knowledge show different reactions when help is given. For learners with insufficient prior knowledge help is not helpful or, in case of recall performance, even harmful. Learners with a medium level of prior knowledge can increase especially their comprehension performance when help is offered, whereas learners with too much prior knowledge seem not to be affected by help.     

Research in Science Education at the University of Glasgow

The purpose of this study was to examine how prior knowledge of cellular transport influenced how high school students in the USA viewed and interpreted graphic representations of this topic. The participants were Advanced Placement Biology students (n = 65); each participant had previously taken a biology course in high school. After assessing prior knowledge using the Diffusion and Osmosis Diagnostic Test, two graphical representations of cellular transport processes were selected for analysis. Three different methods of data collection—eye tracking, interviews, and questionnaires—were used to investigate differences in perceived salient features of the graphics, interpretations of the graphics, and processing difficulty experienced while attending to and interpreting the graphics. The results from the eye tracking data, interviews, and instructional representation questionnaires were triangulated and revealed differences in how high and low prior knowledge students attended to and interpreted particle differences, concentration gradient, the role of adenosine triphosphate , endocytosis and exocytosis, and text labels and captions. Without adequate domain knowledge, low prior knowledge students focused on the surface features of the graphics (ex. differences in particle colour) to build an understanding of the concepts represented. On the other hand, with more abundant and better‐organised domain knowledge, high prior knowledge students were more likely to attend to the thematically relevant content in the graphics, which enhanced their understanding. The findings of this study offer a more complete understanding of how differentially prepared learners view and interpret graphics and have the potential to inform instructional design.     

The expertise reversal effect in prompting focused processing of instructional explanations

Providing prompts to induce focused processing of the central contents of instructional explanations is a promising instructional means to support novice learners in learning from instructional explanations. However, within research on the expertise reversal effect it has been shown that instructional means that are beneficial for novices can be detrimental for learners with more expertise if the instructional means provide guidance that overlaps with the internal guidance provided by the prior knowledge of learners with more expertise. Under such circumstances, prompts to induce focused processing might even be detrimental for learners with expertise whose prior knowledge already provides internal guidance to learn from explanations. On this basis, we aimed at experimentally varying expertise by developing prior knowledge. Specifically, we used a preparation intervention with contrasting cases to enhance learners’ prior knowledge (expertise). Against this background, we tested 71 university students in a 2 × 2 factorial experimental design: (a) Factor of expertise. Working with contrasting cases to develop prior knowledge and expertise to provide internal guidance to learn from instructional explanations (with vs. without), (b) Factor of prompts. Prompts to induce focused processing of the explanations (with vs. without). The results showed that prompts to induce focused processing fostered conceptual knowledge for novice learners whereas prompts hindered the acquisition of conceptual knowledge for learners with expertise that was developed by working with contrasting cases beforehand. Moreover, measures of subjective cognitive load and learning processes suggest that the instructional guidance provided by prompts compensated for the low internal guidance of novice learners and overlapped with the internal guidance of learners with expertise.     

Collaborative Reasoning on Self‐Generated Analogies: Conceptual Growth in Understanding Scientific Phenomena

Abstract

This study investigated fourth graders’ self‐generated analogies, that is, own analogies giving self‐explanations — opposed to analogies provided by a teacher — and the effects of their collaborative reasoning and arguing over these analogies on individual understanding of three scientific phenomena concerning air pressure. At the beginning the children were individually asked to give their own explanations, explicitly encouraged to think of something similar which could help them to understand better what they had experienced. Then, divided in small groups they were asked to compare their accounts to collabora‐tively reach a shared explanation of each phenomenon. At the end, the children were again individually asked to give their explanations. The data underwent both a qualitative and quantitative analysis. The first showed that the children, on the basis of their alternative representations of what air could do, produced and used their own analogies as self‐explanations both to learn the new material and communicate their understanding to others. Moreover, the analysis of the collaborative reasoning and arguing developed in small group discussions revealed that through steps of critical opposition and co‐construction, the learners negotiated and renegotiated meanings and ideas to share a new common knowledge based on the recognition of more appropriate analogies supporting more advanced explanations. The quantitative analysis showed that socio‐cognitive interaction in small groups was fruitful as the children significantly progressed on an individual plane in giving their own explanations of each phenomenon as well as in recognizing the similarities between the three phenomena. In addition, the qualitative data showed evidence that the children were able to express metacognitive awareness of their conceptual growth. Finally, educational implications have been drawn.     

Assisting self-explanation prompts are more effective than open prompts when learning with multiple representations

Learning with multiple representations is usually employed in order to foster understanding. However, it also imposes high demands on the learners and often does not lead to the expected results, especially because the learners do not integrate the different representations. Thus, it is necessary to support the learners’ self-explanation activity, which concerns the integration and understanding of multiple representations. In the present experiment, we employed multi-representational worked-out examples and tested the effects of two types of self-explanation prompts as help procedures for integrating and understanding multiple representations. The participants (N = 62) learned about probability theory under three conditions: (a) open self-explanation prompts, (b) self-explanation prompts in an assistance-giving-assistance-withholding procedure (assisting self-explanation prompts), or (c) no prompts (control group). Both types of self-explanation prompts fostered procedural knowledge. This effect was mediated by self-explanations directed to domain principles. Conceptual knowledge was particularly fostered by assisting self-explanation prompts which was mediated by self-explanations on the rationale of a principle. Thus, for enhancing high-quality self-explanations and both procedural knowledge and conceptual understanding, we conclude that assisting self-explanation prompts should be provided. We call this the assisting self-explanation prompt effect which refers to the elicitation of high-quality self-explanations and the acquisition of deep understanding.