Conceptual change within dyadic interactions: the dance of conceptual and material agency

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.     

The Eye of the Beholder: The Interplay of Social and Cognitive Components in Change

Sociocultural and cognitive perspectives hold to epistemically different views on knowledge acquisition and change. While sociocultural perspectives point to social experience as the principal source of knowledge, cognitive perspectives emphasize the importance of the individual mind and reasoning as the primary source of knowledge. Herein, I argue that both sociocultural and cognitive influences are critical catalysts in conceptual change and that integration of these components is vital to learning. As a mechanism for supporting this contention, I explore the epistemic views of students and the role those views play in knowledge acquisition and change. Specifically, I propose a framework built on students' understandings of the relations between belief and knowledge within the change process. In over-viewing the framework, I consider potential catalysts for knowledge acquisition and change. Finally, I highlight two instructional approaches that effectively integrate the social and cognitive dimensions of change.     

Enhancing Students' Understanding of Photosynthesis and Respiration in Plant Through Conceptual Change Approach

This study investigated the effectiveness of combining conceptual change text and discussion web strategies on students' understanding of photosynthesis and respiration in plants. Students' conceptual understanding of photosynthesis and respiration in plants was measured using the two-tier diagnostic test developed by Haslam and Treagust (1987, Journal of Biological Education 21: 203--211). The test was administered as pretest and posttest to a total of 233 eighth-grade students in six intact classes of the same school located in an urban area. The test of logical thinking was used to determine the reasoning ability of students. The experimental group was a class of 116 students received discussion web and conceptual change text instruction. A class of 117 students comprised the control group received a traditional instruction. After instruction, data were analyzed with two-way analysis of covariance (ANCOVA) using the Test of Logical Thinking and pretest scores as covariate. The conceptual change instruction, which explicitly dealt with students' misconceptions, produced significantly greater achievement in understanding of photosynthesis and respiration in plant concepts. Analysis also revealed a significant difference between performance of females and that of males in the favor of females, but the interaction of treatment with gender difference was not significant for learning the concepts.     

The views of Pasifika students in New Zealand about communicating mathematically

This paper focuses on the perspectives of Years 7 and 8 Pasifika students on mathematics learning, in particular their views about the communication of solution strategies with others (their peers), and their teacher. Pasifika students' ideas about the importance of communicating their mathematical reasoning and strategies to peers and teachers were analysed and themes identified. While most students were in agreement about the importance of explaining their thinking to others, there was considerable variation in the reasons they gave for their views. The findings are interpreted in relation to socio-cultural theory and recent writing about requirements for citizenship in the twenty-first century.     

Influence of text structure on learning counterintuitive physics concepts

The purpose of this study was to explore the influences of text structure on students' conceptual change. Case studies were conducted of three sections of physics (Physical World, Physics, and Honors Physics) for 8 months of an academic year. Qualitative data (including observation field notes, interviews, videotapes, audiotapes, and questionnaires) were analyzed from the perspective of grounded theory by constant comparison through the framework of social constructivism. Results showed that individuals used refutational text to change their alternative conceptions, find support for their scientific preconceptions, gain the language necessary to discuss their ideas, and acquire new concepts. We also found instances, however, when students ignored the text and persisted with their alternative conception, or when students found support for their nonscientific ideas from refutational text. In these cases, we found that either the refutation was not direct enough to be effective, or students' reading strategies were insufficient to facilitate conceptual change. In investigating the power of refutational text, we found that refutational text does cause cognitive conflict. We also discovered that while cognitive conflict may be necessary for conceptual change to occur, it is not sufficient. Although refutational text is effective on the average for groups of students, it will need to be supplemented by discussion for individuals. J Res Sci Teach 34: 701–719, 1997.     

An Integrative Perspective on Students’ Proportional Reasoning in High School Physics in a West African Context

This study examines students’ use of proportional reasoning in high school physics problem‐solving in a West African school setting. An in‐depth, constructivist, and interpretive case study was carried out with six physics students from a co‐educational senior secondary school in Nigeria over a period of five months. The study aimed to elicit students’ meanings, claims, concerns, constructions, and interpretations of their difficulty with proportional reasoning as they worked on a series of 18 high school physics tasks. Multiple qualitative research techniques were employed to generate, analyse, and interpret data. Results indicated that several socio‐cultural, psychosocial, cognitive, and mathematical issues were associated with students’ use of proportional reasoning in physics. Students’ capacity to reason proportionally was not only linked to their difficulty with the concept, structure, and strategies of proportional reasoning as a learning and problem‐solving skill, but was also embedded in the social, cultural, cognitive, and contextual elements involved in the learning of physics. The study concludes with a discussion of the implications for teaching high school physics.     

Group interactions in science practical work

This study explored the interactions of a highly motivated group of students doing traditional practical work in science. Interest focussed on the social construction of understanding and how this could be described. Despite considerable collaboration in constructing an understanding of the task the students rarely focussed on the concepts the practical work was intended to illustrate. Collaboration was described in terms of social behaviours and discourse moves which supported the use of cognitive strategies. Specializations: science practical work, collaborative group work, role of language. Specializations: science teacher education, conceptual change, learning environments, science reasoning.     

Field independence,task ambiguity,and performance on a proportional reasoning task

This study investigated the proportional reasoning abilities of 35 college science students. Using a projection of shadows problem, proportional reasoning was assessed under one of two experimental conditions corresponding to the type of information presented: (a) relevant only, or (b) relevant and irrelevant. Subjects were also measured on the cognitive style of field independence. Results showed that subjects in the relevant only condition performed significantly better than those in the relevant-irrelevant condition. Degree of field independence was related to performance only in the relevant-irrelevant condition. These results indicated an interaction between type of information presented in a task and cognitive style.     

The role of cognitive style and its influence on proportional reasoning

It has been suggested that proportional reasoning tasks contain field effects. Field-dependent students are considered to be highly influenced by the structure of the perceptual field and lack an articulated conceptual framework. To test the hypothesis that there is a significant correlation between field independence and proportional reasoning tasks, a sample of science students were tested to determine performance in proportional reasoning and degree of field independence. It was found that even students who are normally capable of proportional reasoning can be misled by the presence of field effects. A significant correlation (r = 0.50; p = 0.001) was found between the test of field independence and the nine items of proportional reasoning. Educational implications are drawn.     

Proportional reasoning: A review of the literature

This paper presents a review of the research on proportional reasoning. Methodologies used in proportional reasoning studies are presented first. The discussion is then organized around the following topics: strategies use to solve proportion problems, including erroneous strategies; factors that influence performance on proportion problems, both task-related and subject-related; training studies. The discussion is accompanied by suggestions for educational and research applications. This paper was supported by the National Science Foundation Grant No. SED 79-18962. Any opinions, findings and conclusions expressed in this report are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors would like to express their appreciation to Elizabeth K. Stage and Joan Heller for comments on an earlier draft of this paper.     

Finnish pre-service teachers’ and upper secondary students’ understanding of division and reasoning strategies used

In this paper, we focus on Finnish pre-service elementary teachers’ (N?=?269) and upper secondary students’ (N?=?1,434) understanding of division. In the questionnaire, we used the following non-standard division problem: “We know that 498:6?=?83. How could you conclude from this relationship (without using long-division algorithm) what 491:6?=?? is?” This problem especially measures conceptual understanding, adaptive reasoning, and procedural fluency. Based on the results, we can conclude that division seems not to be fully understood: 45% of the pre-service teachers and 37% of upper secondary students were able to produce complete or mainly correct solutions. The reasoning strategies used by these two groups did not differ very much. We identified four main reasons for problems in understanding this task: (1) staying on the integer level, (2) an inability to handle the remainder, (3) difficulties in understanding the relationships between different operations, and (4) insufficient reasoning strategies. It seems that learners’ reasoning strategies in particular play a central role when teachers try to improve learners’ proficiency.     

Collaborative learning tasks and the elaboration of conceptual knowledge

In this article we present the results of an experimental study of the influence of task characteristics on the characteristics of elaboration of conceptual knowledge in social interaction. With a pre-test and post-test we measured individual learning outcomes. We constructed a coding scheme that focuses on the communicative functions and propositional content of utterances and on elaborative episodes. The subjects were 40 students who worked in dyads on a collaborative task about electricity in one of four conditions. We compared a concept mapping task with a poster task and investigated the effect of a phase of individual preparation. The post-test scores were significantly higher than the pre-test scores. Individual preparation created better learning results and the asking of more questions. The concept mapping conditions showed more discussion of electricity concepts, collaboratively elaborated conflicts and reasoning, but no higher individual learning outcomes. In the concept mapping conditions, elaboration was related to individual learning outcomes.     

From visual reasoning to logical necessity through argumentative design

Our main goal in this study is to exemplify that a meticulous design can lead pre-service teachers to engage in productive unguided peer argumentation. By productivity, we mean here a shift from reasoning based on intuitions to reasoning moved by logical necessity. As a subsidiary goal, we aimed at identifying the kinds of reasoning processes (visual, inquiry-based, and deductive) pre-service teacher's students adopt, and how these reasoning processes are interwoven in peer-unguided argumentation. We report on a case study in which one dyad participating in a pre-service teachers program solved a mathematical task. We relied on three principles to design an activity: (a) creating a situation of conflict, (b) creating a collaborative situation, and (c) providing a device for checking hypotheses/conjectures. We show how the design afforded productive argumentation. We show that the design of the task entailed argumentation which first relied on intuition, then intertwined the activities of conjecturing and checking conjectures by means of various hypotheses-testing devices (measurement, manipulations, and dynamic change of figures with Dynamic Geometry software), leading to a conflict between conjectures and the outcome of the manipulation of DG software. Peer argumentation then shifted to abductive and deductive considerations towards the solution of the mathematical task. These beneficial outcomes resulted from collaborative rather than adversarial interactions as the students tried to accommodate their divergent views through the co-elaboration of new explanations.     

High‐school students’ reasoning while constructing plant growth models in a computer‐supported educational environment

This paper highlights specific aspects of high‐school students’ reasoning while coping with a modeling task of plant growth in a computer‐supported educational environment. It is particularly concerned with the modeling levels (‘macro‐phenomenological’ and ‘micro‐conceptual’ level) activated by peers while exploring plant growth and with their ability to shift between or within these levels. The focus is on the types of reasoning developed in the modeling process, as well as on the reasoning coherence around the central concept of plant growth. The findings of the study show that a significant proportion of the 18 participating dyads perform modeling on both levels, while their ability to shift between them as well as between the various elements of the ‘micro‐conceptual’ level is rather constrained. Furthermore, the reasoning types identified in peers’ modeling process are ‘convergent’, ‘serial’, ‘linked’ and ‘convergent attached’, with the first type being the most frequent. Finally, a significant part of the participating dyads display a satisfactory degree of reasoning ‘coherence’, performing their task committed to the main objective of exploring plant growth. Teaching implications of the findings are also discussed.     

Students' Pre- and Post-Teaching Analogical Reasoning When They Draw their Analogies

Analogies are parts of human thought. From them, we can acquire new knowledge or change that which already exists in our cognitive structure. In this sense, understanding the analogical reasoning process becomes an essential condition to understand how we learn. Despite the importance of such an understanding, there is no general agreement in cognitive science literature about this issue. In this study, we investigated students' analogical reasoning as a creative process where an environment was set up to foster the students' generating and explaining their own analogies. Data were gathered from pre- and post-teaching interviews, in which the 13–14-year-old students were asked to make comparisons that could explain how atoms are bound. Such data supported the discussion about how students reasoned analogically. Our results made it evident that the task aims and the students' salient knowledge exerted a great influence on the drawing of analogies.     

Bridging scientific reasoning and conceptual change through adaptive web‐based learning

This study reports an adaptive digital learning project, Scientific Concept Construction and Reconstruction (SCCR), and examines its effects on 108 8th grade students' scientific reasoning and conceptual change through mixed methods. A one‐group pre‐, post‐, and retention quasi‐experimental design was used in the study. All students received tests for Atomic Achievement, Scientific Reasoning, and Atomic Dependent Reasoning before, 1 week after, and 8 weeks after learning. A total of 18 students, six from each class, were each interviewed for 1 hour before, immediately after, and 2 months after learning. A flow map was used to provide a sequential representation of the flow of students' scientific narrative elicited from the interviews, and to further analyze the level of scientific reasoning and conceptual change. Results show students' concepts of atoms, scientific reasoning, and conceptual change made progress, which is consistent with the interviewing results regarding the level of scientific reasoning and quantity of conceptual change. This study demonstrated that students' conceptual change and scientific reasoning could be improved through the SCCR learning project. Moreover, regression results indicated students' scientific reasoning contributed more to their conceptual change than to the concepts students held immediately after learning. It implies that scientific reasoning was pivotal for conceptual change and prompted students to make associations among new mental sets and existing hierarchical structure‐based memory. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47: 91–119, 2010     

How Swedish pupils,aged 12‐15 years,understand light and its properties‡

The reasoning patterns used by a sample of Western Australian secondary school students aged 13‐16 were investigated with regard to the following reasoning modes: proportional reasoning, controlling variables, probabilistic reasoning, correlational reasoning, and combinatorial reasoning.

There was a wide range in students’ reasoning abilities at all year levels. Large percentages of students did not use formal operational reasoning patterns when they attempted to solve problems assessing their ability to use each of the five reasoning modes. Commonly used, but incorrect reasoning patterns were identified for each reasoning mode.

The students’ ability to use formal reasoning patterns was found to be an important factor in determining student achievement in lower secondary science, in their selection of year 11 science subjects, and their achievement in these subjects.

The results of the study indicate that it is important for teachers to be aware of the reasoning patterns of their students and the cognitive demands of course content, so that they can optimally match the content and their teaching strategies with the abilities of their students. Further research is needed to establish the nature of instruction which might best facilitate cognitive growth.     

Cognitive Prerequisites for Generative Learning: Why Some Learning Strategies Are More Effective Than Others

This study examined age-related differences in the effectiveness of two generative learning strategies (GLSs). Twenty-five children aged 9–11 and 25 university students aged 17–29 performed a facts learning task in which they had to generate either a prediction or an example before seeing the correct result. We found a significant Age × Learning Strategy interaction, with children remembering more facts after generating predictions rather than examples, whereas both strategies were similarly effective in adults. Pupillary data indicated that predictions stimulated surprise, whereas the effectiveness of example-based learning correlated with children’s analogical reasoning abilities. These findings suggest that there are different cognitive prerequisites for different GLSs, which results in varying degrees of strategy effectiveness by age.