Using Analogy to Help Young Children Understand

Analogies offer conceptual models for supporting the development of understanding. Contrary to some expectations, there is growing evidence that young children can reason analogically. Much of this evidence comes from experiments intended to test psychological theories. This study aimed to gauge the practical potential of analogy in topics often considered by teachers difficult for young children to understand. Aspects of young children's understanding of current electricity were compared in two conditions, namely with and without an analogy (87 and 89 children, respectively; 6‐7 years of age). The results indicated that the analogy was of practical value in teaching for understanding. It is suggested that their bases be carefully prepared prior to teaching the target topic and that what is to be understood is modelled directly and is explicitly related to its equivalent in the topic. Further investigations to determine conditions for the effective use of analogies when teaching young children, who benefits particularly and in what ways seem warranted.     

Analogy,Metaconceptual Awareness and Conceptual Change: a classroom study

This qualitative study aimed at exploring whether students’ successful use of analogy in learning curriculum complex science concepts was related: (a) to the level of their understanding of a specific analogy and (b) to their metacognitive awareness of how the analogy was to be used and of the changes produced in their own conceptual structures. In implementing a biological curriculum unit, students’ prior knowledge has been taken into account in order to examine its conceptual growth and change via a not completely introduced analogy to 15 fifth graders as they were engaged in understanding the ways in which the new concepts (on photosynthesis) were similar to a familiar source (making a cake). Qualitative data present the children's mapping processes in elaborating the analogy and their metacognitive awareness of the meaning and purpose of the analogy itself, and their personal use of the analogy in changing initial conceptions. As hypothesised, the results showed a high positive correlation among the level of conceptual understanding of the new science topic, the level of understanding of the analogy, and the level of effective use of the analogy in integrating the new information into the pre‐existing conceptual structures. Key implications on the use of analogy for conceptual change in the classroom are outlined.     

Only Familiar Information is a “Curse”: Children’s Ability to Predict What Their Peers Know

The ability to make inferences about what one’s peers know is critical for social interaction and communication. Three experiments (n = 309) examined the curse of knowledge, the tendency to be biased by one’s knowledge when reasoning about others’ knowledge, in children’s estimates of their peers’ knowledge. Four- to 7-year-olds were taught the answers to factual questions and estimated how many peers would know the answers. When children learned familiar answers, they showed a curse of knowledge in their peer estimates. But, when children learned unfamiliar answers to the same questions, they did not show a curse of knowledge. These data shed light on the mechanisms underlying perspective taking, supporting a fluency misattribution account of the curse of knowledge.     

Primary and Secondary Students’ Understanding of the Rainfall Phenomenon and Related Water Systems: a Comparative Study of Two Methodological Approaches

Rainfall is a key process in the water cycle, the most structured scientific knowledge about water movement on Earth. Nevertheless, despite being a common topic covered in school science, it entails several cognitive difficulties for young children. This study uses a pictorial task and semi-opened questions to examine primary (11/12 years old) and secondary (12/13 years old) students’ understanding of the elements and processes involved in the hydrologic cycle and how they are integrated into their explanations regarding the rainfall phenomenon. Overall, we have found that the studied children’s (n = 246) conceptual knowledge increases with age. However, they have an incomplete perception of the mechanism of rainfall and its integration into the water cycle. In fact, not all the students have a cyclic notion of water dynamics; they also miss the inclusion and role of groundwater in water systems and present misconceptions regarding key processes, such as condensation and evaporation. Regarding the two diagnostic tools (drawings and questionnaires) used to study children’s understanding, although questionnaires seem more appropriate for assessing lower conceptual levels, each methodological approach is useful for detecting different key concepts and misconceptions related to the rainfall phenomenon and related water cycle. Consequently, a mixed research design using different methods is advised for a comprehensive study of students’ conceptions.

     

Causal connections in beginning reading: the importance of rhyme

Profound misunderstandings of the implications of rhyme and analogy research (sometimes called ‘new phonics’) for classroom teaching still appear regularly in the reading literature. It has been argued that ‘rhyme and analogy’ researchers do not believe in teaching children grapheme-phoneme correspondences (Chew, 1997). Rhyme and analogy has also been branded as ‘analytic phonics’, which is argued to be inferior to ‘synthetic’ phonics (Watson and Johnston, 1999). Such misconceptions are confusing the debate over how best to teach ‘phonics’, following the publication of the National Literacy Framework (DfEE, 1998). For example, some authors are suggesting that teachers should replace an emphasis on phonological awareness and onset-rime with a teaching programme based on ‘synthetic’ phonics (Deavers and Solity, 1998; Watson and Johnston, 1999). This paper discusses the implications of Goswami and Bryant’s (1990) theory about important causal connections in reading for classroom teaching, and reviews more recent ‘rhyme and analogy’ research within this framework. New research on the nature of the English spelling system and the representation of linguistic knowledge is also discussed. The importance of taking a balanced approach to phonics instruction and teaching children correspondences between letters and phonemes and letter sequences and rimes is emphasised.     

Shifting sands: a case study of conceptual development as competition between alternative conceptions

Conceptual change may be considered as a process of coming to view one theory or model as having more explanatory power than others. Various theorists have described how an individual's understanding of a concept may be multifaceted; how conceptual frameworks develop in a cognitive ecology, and are subject to selection pressures; and how alternative frameworks compete in terms of their explanatory coherence. The present paper applies these ideas to a case study of learning in science. It is argued that conceptual development may be described in terms of a gradual shift in which of several alternative explanatory principles is the learners' preferred choice. The case study illustrates the long-term nature of conceptual change, as a learner comes to see the limitations of one explanatory framework, and the scope for exploring and developing another.     

Prospective teacher learning: recognizing evidence of conceptual understanding

This study examined prospective teachers’ (PSTs) ability to recognize evidence of children’s conceptual understanding of mathematics in three content areas before and after an instructional intervention designed to support this ability. It also investigates the role PSTs’ content knowledge plays in their ability to recognize children’s mathematical understanding. Results of content knowledge assessments administered at the beginning of the study revealed that content knowledge did seem to support PSTs’ analyses of children’s understanding when the child’s response demonstrated understanding or demonstrated a misconception. Content knowledge did not seem to support PSTs’ analyses of children’s procedural responses, as many PSTs with good content knowledge initially characterized procedural solutions as evidence of conceptual understanding. Similarly, content knowledge did not seem to support PSTs’ analyses of children’s responses with features commonly associated with understanding but not evidence of understanding. After the instructional intervention consisting of three multifaceted lessons in which PSTs examined many examples of student thinking, they showed improved ability to analyze responses with conceptual features and no evidence of conceptual understanding and responses demonstrating procedural knowledge. Results suggest that content knowledge is not sufficient for supporting PSTs’ analysis of children’s thinking, and that building activities such as the intervention into content courses may help develop this ability. Implications for teacher education programs and future research are considered.     

Number Knowledge and Young Children’s Ability to Measure Length

Research Findings: In this research we explore the relationship between young children’s number knowledge and their measurement of length. First, we examined 4- to 5-year-olds’ (kindergartners’) understanding of and preference for using standard or nonstandard units to measure length. Second, we investigated whether the following tasks were related to children’s understanding of using standard (i.e., rulers) and nonstandard (i.e., blocks) units to measure length: (a) counting and written number identification knowledge, (b) symbolic or nonsymbolic number magnitude comparison ability, and (c) approximate number line estimation ability. Third, we examined whether understanding these number tasks predicted understanding how to measure length for both standard and nonstandard units. Our results show that young children prefer to use standard units of measurement when given a choice, and some of these children use a ruler correctly. Our results also show an important relationship between children’s understandings of numbers and measurement. Practice or Policy: Given children’s preference for rulers, introducing both nonstandard and standard units in early learning settings concurrently rather than consecutively is recommended for practice.     

Educational television as mediated literacy environments for preschoolers

Research on children’s television suggests that preschool programs can facilitate literacy and language development. In 1998 Whitehurst and Lonigan described two interdependent sets of skills involved in literacy acquisition: ‘outside‐in’ or oral language skills and ‘inside‐out’ or code‐related skills. Outside‐in skills support children’s interpretation or understanding of print by placing written language into context through oral language. Inside‐out skills focus on those skills involved in the translation of print into sounds and sounds into print. This study describes the production techniques of Between the Lions that contributed to preschooler’s observed behaviors from the outside‐in and the inside‐out.     

Are Prompts Provided by Electronic Books as Effective for Teaching Preschoolers a Biological Concept as Those Provided by Adults?

Research Findings: Prior research indicates that shared book reading is an effective method for teaching biological concepts to young children. Adult questioning during reading enhances children’s comprehension. We investigated whether adult prompting during the reading of an electronic book enhanced children’s understanding of a biological concept. Ninety-one 4-year-olds read about camouflage in 3 conditions. We varied how prompts were provided: (a) read by the book, (b) read by a researcher, or (c) given face to face by the researcher. There was an interaction between children’s initial vocabulary level and condition. Children with low vocabulary scores gave fewer camouflage responses than their high-vocabulary peers, and this effect was particularly pronounced in the book-read condition. Children’s executive function was also measured and discussed. Practice or Policy: Our findings indicate that under some circumstances electronic prompts built into touchscreen books can be as effective at supporting conceptual development as the same prompts provided by a coreading adult. However, children with low vocabulary skills may be particularly supported by adult-led prompting. We suggest that adult prompting be used to motivate children to test and revise their own biological theories. Once children have learned strategies for updating their concepts, electronic prompting may be useful for scaffolding children’s transition to using the strategies when reading alone.     

Typically developing children’s understanding of and attitudes towards diversity and peers with learning difficulties in the Greek setting

During the last few years, across Europe, special education has been orientated towards an inclusive model. Accordingly, in Greece, special education functions as an integral part of general education. However, few studies have investigated how children in the mainstream school understand diversity issues and specifically learning difficulties. The present study investigated typically developing children’s understanding of and attitudes towards diversity, and peers with learning difficulties. For this purpose, children aged 9–12 years, completed a questionnaire with mainly open‐ended questions and some close‐type questions. Regarding children’s understanding of diversity, the majority of responses focused more on individual/personality differences, on biological differences and less on disabilities or difficulties. Research into children’s understanding about the causes of learning difficulties demonstrated misunderstanding, while a large number of children had a total lack of knowledge. On the other hand, they seem to understand that learning difficulties may affect all the aspects of life. Children’s attitudes towards school inclusion were positive on a more superficial level. Results are discussed in terms of educational implications and school practice for the development and implementation of appropriate intervention programs.     

Theorising participation in urban regeneration partnerships: an adult education perspective

While the policy approach in Urban Regeneration Partnership tends to be viewed as participatory governance using an urban studies lens, this article posits an alternative theorisation that takes an adult education perspective. We draw from Lefebvre’s notion of space, Engeström’s Cultural Historical Activity Theory and Holand et al.’s concept of positionality and social identity to theorise Urban Regeneration Partnership as expansive participation that acknowledges discursive struggle and contradiction in authentic democratisation. We argue for a multiscalar understanding of citizenship that attends to sociocultural conditions, challenges hegemonic spatial modalities and inculcates conditions for transformative agency. Our theorising is illustrated using data from a doctoral study examining one Urban Regeneration Partnership in the Republic of Ireland. Three themes emerged from the study: market-led discourse of transformation versus a narrative of community; rhetoric of empowerment versus the unequal positioning of residents, and the dominant hegemony of official knowledge versus community-based experiential knowledge. The article examines whether the academy can make a difference in people’s lives through challenging the prevailing orthodoxy, revealing unexamined assumptions and offering alternative frameworks for deeper understanding of the policy cycle in Urban Regeneration Partnerships.     

Understanding of epilepsy by children and young people with epilepsy

There is a striking dearth of studies focusing sensitively and in depth on the mainstream educational experiences of children with epilepsy, as viewed by those children themselves. The one‐year project (2006–7) reported here addresses that gap. Children’s perceptions about mainstream teachers’ understanding of epilepsy and school‐based needs are particularly interesting and this work breaks new ground in that connection. The authors report findings from two complementary qualitative methods of data collection: (1) an e‐survey of 44 self‐selected children and young people with epilepsy, and (2) interviews (mainly individual) in mainstream schools with 22 children/young people with epilepsy. Overall, the children and young people (aged 7–18) were clear about the nature of their condition, including seizures. For many, there was an implicit reluctance in accepting epilepsy as a “part of them”; self‐reported feelings of secrecy, stigma and shame abounded. This had repercussions for how schools were seen to need to respond with sensitivity and knowledge‐based understanding. Taking a qualitative methodological approach revealed important insights into complex concepts like stigma in the school context. This was illustrated in children and young people’s readiness to talk about their feelings of “difference” in relation to others when given the opportunity to do so sensitively. The findings have important implications for how schools and services work in a genuinely fully inclusive way with children and young people who have epilepsy.     

The art of teaching children the arts: music,dance and poetry with children aged 2–8 years old

In this article, the theoretical framework of developmental pedagogy is presented as a tool in studying and developing children’s knowing within the arts. The domains of art focused on are music, poetry and dance/aesthetic movement. Through empirical examples from a large‐scale research project, we illustrate the tools of developmental pedagogy and show how this perspective contributes to our understanding of children’s learning of music, dance and poetry. More specifically, we will analyse: (a) the important role of the teacher in children’s learning within the arts; (b) the importance of conversing when learning the arts; (c) what constitutes the knowledge, what we refer to as ‘learning objects’, to be appropriated within the three domains of art focused on; and (d) how to conceive of progression in children’s knowing within the arts.     

Scientific Theories and Naive Theories as Forms of Mental Representation: Psychologism Revived

This paper analyzes recent work in psychology on the nature of the representation of complex forms of knowledge with the goal of understanding how theories are represented. The analysis suggests that, as a psychological form of representation, theories are mental structures that include theoretical entities (usually nonobservable), relationships among the theoretical entities, and relationships of the theoretical entities to the phenomena of some domain. A theory explains the phenomena in its domain by providing a conceptual framework for the phenomena that leads to a feeling of understanding in the reader/hearer. The explanatory conceptual framework goes beyond the original phenomena, integrates diverse aspects of the world, and shows how the original phenomena follow from the framework. This analysis is used to argue that mental models are the subclass of theories that use causal/mechanical explanatory frameworks. In addition, an argument is made for a new psychologism in the philosophy of science, in which the mental representation of scientific theories must be taken into account.     

Developing Model‐Based Reasoning

Key elements of the structure and function of models in mathematics and science are identified. These elements are used as a basis for discussing the development of model‐based reasoning. A microgenetic study examines the beginnings of model‐based reasoning in a pair of fourth‐ and fifth‐grade children who solved several problems about chance and probability. Results are reported in the form of a cognitive model of children's problem‐solving performance. The cognitive model explains a transition in children's reasoning from tacit reliance on empirical regularity to a form of model‐based reasoning. Several factors fostering change in children's thinking are identified, including the role of notations, peer interaction, and teacher assistance. We suggest that model‐based reasoning is a slowly‐developing capability that emerges only with proper contextual and social support and that future study should be carried out in classrooms, where these forms of assistance can also be part of the object of study.

Model‐based reasoning is a significant intellectual milestone because it bridges the worlds of personal, intuitive knowledge, on the one hand, and mathematical‐scientific theory, on the other. However, across disciplines, consensus is still forming about what model‐based reasoning comprises, and there is little knowledge about its ontogenetic origins or how it develops. We consider analogy as the core of modeling, because in model‐based reasoning a system in one domain is used to understand a system in another. To understand how models come to play a role in reasoning, it is important to initiate study of their origins. Accordingly, we report a microgenetic study examining the beginnings of model‐based reasoning in a pair of young children solving problems about chance and probability. In this study we are engaged in the enterprise of modeling the development of modeling. That is, we report our results in the form of a cognitive model of children's problem‐solving performance that explains a transition in reasoning from a tacit reliance on empirical regularity to a form of model‐based reasoning. It is important to note the two distinct meanings for the term model used in this article. The first describes how children come to understand and appropriate a system of reasoning exemplified in practices of modeling. The second describes a research tool, a model of human reasoning—specifically, how children in this study began to use models of probability to reason about uncertain events. In this report, we use the terms model or model‐based reasoning to refer to the former interpretation, whereas references to a cognitive model denote the simulation of children's thinking—in this case, implemented as a computer program.

Before describing the empirical work, we first identify some key elements of the structure and function of models. Next, these elements of modeling are used as the basis for generating some conjectures about the development of model‐based reasoning. We describe a task that we used as a window to understanding progression in student reasoning toward reliance on models as tools for thought. We present our rationale for developing cognitive models of student performance and explain some choices concerning the implementation of the cognitive model reported here. Finally, we turn to the children's performance on chance and probability tasks and explain how that performance illuminates both what children do not understand about models and the kinds of relevant knowledge that they are acquiring.     

Analysing teachers’ translation of sustainability using a PCK framework

In order to teach about sustainability, teachers need to be able to translate their personal understanding of this concept into their pedagogy in ways that make it accessible to their learners. This translation process is known as pedagogical content knowledge (PCK). This study investigated the way that two teachers translated their understanding of sustainability into their pedagogy and the effects of this translation on children’s learning (n?=?18). Two interpretive case studies were constructed. Data were generated using interviews and documents. Two frameworks were used to analyse the data. One was a definition of sustainability and the other a model of PCK expressed as pedagogical context knowledge (PCxK) that consisted of four components. The findings showed that the translation of sustainability was a complex interaction of three of the PCxK components with some use of the fourth. Some children developed an understanding of sustainability but only two were able to link their understanding with the scientific concepts taught resulting in ‘diffused learning’. Also, these findings suggest that while the PCxK model used to analyse the translation process had a degree of precision and heuristic power, further refinement is needed in order for this model to explicate teachers’ PCK.     

“Slippage” is not a dirty word: considering the usefulness of Giddens' notion of knowledgeability in understanding the possibilities for teacher education

The attempt to understand the relationship between messages intended and messages received has been an enduring issue in teacher education. For the past three decades researchers have made forays into understanding this enduring issue, and in the process have drawn on various explanatory frameworks, one of them being socialisation. In this paper we work with Giddens' structuration theory as well as his concept of knowledgeability as analytical frameworks for understanding the relationship between messages intended (by the teacher educator) and messages received (by the student‐teachers). Our discussion is informed by the findings of a study that investigated student‐teachers' interpretations of the pedagogical process of a physical education teacher education course. Data generated from conversations with, and observations of, the student‐teachers indicated that there was considerable “slippage” between the teacher educator's critical pedagogy inspired intentions and what was understood by the student‐teachers.     

Young Children’s Representations of Spatial and Functional Relations Between Objects

Three experiments investigated changes from 15 to 30 months of age in children’s (N = 114) mastery of relations between an object and an aperture, supporting surface, or form. When choosing between objects to insert into an aperture, older children selected objects of an appropriate size and shape, but younger children showed little selectivity. Further experiments probed the sources of younger children’s difficulty by comparing children’s performance placing a target object in a hole, on a 2‐dimensional form, or atop another solid object. Together, the findings suggest that some factors limiting adults’ object representations, including the difficulty of comparing the shapes of positive and negative spaces and of representing shapes in 3 dimensions, contribute to young children’s errors in manipulating objects.