基于MQI评估系统的大班数学集体活动质量分析及其启示

数学是学前儿童学习和入学准备的重要领域,也是学前教育质量监测的重要方面。MQI评估系统作为一种评估数学课堂教学质量的框架,体现了最新数学教育观念,突出了数学的学科特性和认知要求,强调儿童的主动参与和生成性的教学过程,可同时对教师的教和儿童的学进行评估。本研究使用MQI评估系统对我国幼儿园大班数学集体活动的质量进行考察,结果表明除数学意义建构和数学语言之外,数学丰富度领域各维度表现水平不高;教师对儿童行为进行处理和反馈的水平较低;大多数活动片段中不存在数学表达和语言上的错误及不严密性问题;儿童参与有意义的解释或者提问和推理较少,参与活动的认知要求不高。幼儿园大班数学集体活动质量受到集体教学中"教"与"学"的关系、教师对数学领域知识和儿童数学发展目标的认知、教师评价儿童数学思维的能力及师幼互动技巧、教师培训与考核的侧重点等因素的影响。我国学前教育界应重视数学教育活动的过程性质量,关注儿童数学学习过程性能力的发展,并应在借鉴MQI评估系统的基础上开发适合我国幼儿园数学教育实践的质量评估系统。     

Parent involvement in early childhood: a comparison of English language learners and English first language families

This study evaluated parents’ communication, involvement and knowledge of their children’s abilities in reading and mathematics among parents who spoke English as a first language (EL1) and those who were English language learners (ELL). Forty‐two kindergarten‐aged children, their parents and their teachers participated in the study. Results indicated that EL1 parents communicated more frequently with the teacher than ELL parents. However, there were no language group differences in parents’ involvement in their children’s education (as rated by the teacher). For both groups of parents (EL1 and ELL), parents’ ratings of their children’s abilities in reading did not predict children’s reading scores. However, parents’ ratings of their children’s abilities in mathematics did predict their children’s mathematics scores. Further analyses indicated that this relationship was not mediated by parents’ communication or involvement. It is concluded that parents’ accurate knowledge of their children’s abilities in mathematics may be the result of their involvement at home and particularly for ELL parents, their greater understanding of and emphasis on mathematics learning.     

Disrupting neoliberal discourse in critical sustainability education: a qualitative analysis of intentional language framing

While education for sustainability is a critical task that is gaining ground in a plethora of educational contexts, it is frequently rendered ineffective in the face of neoliberal practice and discourse. Here we examine the pervasive impacts of neoliberalism on education for sustainability, looking specifically at discursive formations that shape our understandings of humans in and as nature. Throughout ecological texts, root metaphors carry forward specific cultural histories that serve neoliberal agendas by positioning nature as commodity and humans as consumers. We sought to systematically understand how manipulating a root metaphor in the creation of instructional texts might disrupt neoliberal discourse and foster critical sustainability. Using a thought-listing technique to explore student response patterns qualitatively allowed for insights into the power of discourse in educational contexts. Data support the notion that intentional framing may be a powerful tool in education for sustainability. We argue that language and discourse are necessary and effective grounds for change if sustainability is to take root.     

Incorporating Poeticality into the Teaching of Physics

This study examines how focusing on the notion of ‘poeticality’ (poetical forms) can provide functional insights with respect to the narrativeness of physics teaching. From this perspective, through both a meaning-making and aesthetic approach, this article explores how vehicles such as verse and rhetorical figures—metaphor, irony, litotes, hyperbole, antithesis and paradox—can create written and oral texts for the teaching of physics, using a language with poetic significance. This standpoint exists in parallel with an increasingly acknowledged fact in the field of science education, i.e., that the context and particularly the modes of representation potentially affect students’ comprehension. In this way, science education is allowed to escape the dominance of the cognitive paradigm and to concentrate on the study of students’ conceptualisations in relation to the modalities used to shape meanings.     

Metaphor in Context: an examination of the significance of metaphor for reflection and communication

This article shows how metaphor is basic to language structure. It is illustrated with practical examples of how metaphor is found within different social and cultural contexts, irrespective of historical time. Numerous examples are given of how metaphor works in efforts to communicate meaning. From an early age, young children are initiated into the use of metaphor. This appears to be understood intuitively, and examples of words games and riddles are given to show how children become familiar with the symbolic use of language. It is discussed how this early facility to engage in ‘word play’ forms a basis for future development of language skills, helping children move on from familiar contexts which are understood intuitively by transferring their skills in order to interpret metaphorical language empirically in unfamiliar contexts. Theories concerning ‘dead’ and ‘living’ metaphors are explored, and attention is drawn particularly to the need to teach children how to rediscover the original meaning of Biblical metaphors, many of which have become so embedded in language and culture that they have lost their metaphorical significance. It is discussed how the interpretation and use of metaphor extends the capacity to reason and think reflectively, and the importance of education in developing this potential: this is required in many of the recently published Agreed Syllabuses of religious education and the Model Syllabuses of religious education, and would help address the requirements of the Education Reform Act (1988) concerning pupils’ spiritual and moral development.     

Teaching and Assessing Writing: an Australian Perspective

This article examines issues of writing instruction and assessment as they relate to an approach to English language education that has been developed in Australia. The approach, put forward by proponents of genre theory, is underpinned by the argument that it is essential for all teachers, and especially English teachers, to have a ‘metalanguage’ about language education. The expectation is that such a metalanguage makes it possible for teachers and students to develop shared understandings of how written and spoken language works in their various forms. The related argument is that the teacher represents an authoritative (as distinct from authoritarian) language user in the classroom and is responsible for teaching the linguistic characteristics of texts as well as the relationship between texts and the cultural and social contexts in which they are produced and received. In this article I examine the ‘genre’ position and consider its relevance to the business of teaching, learning and assessing in the English classroom.     

Mathematics as the Metaphysics of Education: A Misplaced Foundation

The notion of learnings, which has assumed a currency in educational discourse over the last decade, appears to be based in a scientific materialist world-view. By transforming processes of learning into material entities in this semantic turn, it is possible to advance a discourse about the results of schooling without considering what the processes of learning and educating are. The transfer of learning to entities serves the current ideologies of quantification and the language of mathematics in education. By using Alfred North Whitehead's notion of the fallacy of misplaced concreteness, this paper reviews how the notions of "learnings" and the quantification of education are a function of high-level abstractions that do not reflect the immediacies of learning.     

Imagining the mathematician: young people talking about popular representations of maths

This paper makes both a critical analysis of some popular cultural texts about mathematics and mathematicians, and explores the ways in which young people deploy the discourses produced in these texts. We argue that there are particular (and sometimes contradictory) meanings and discourses about mathematics that circulate in popular culture, that young people use these as resources in identity making as (non-)mathematicians, negotiating their meaning in ways that are not always predictable, and that their influence on young people is diffuse and nevertheless important. The paper discusses the discourses that prevail in some of the popular cultural images of mathematics and mathematicians that came up in our research. We show how mathematics is represented as a secret language, while mathematicians are often mad, mostly male and almost invariably white. We then explore how young people negotiate these discourses, positioning themselves in relation to mathematics. Here we draw attention to the fact that both those who continue with mathematics after it ceases to be compulsory and those who do not, deploy similar images of mathematics and mathematicians. What is different is how they respond to and negotiate these images.     

The present,past, and future of the gardening metaphor in education

Educators and educational theorists frequently employ a gardening metaphor to capture several child-centred principles about teaching and children, i.e. teachers must respect a child’s unique interests and abilities, recognise what is developmentally appropriate for students, and resist pursuing a narrow set of outcomes. Historically, however, educational theorists were as likely to use the gardening metaphor to support teacher-centred, ‘moulding’ ideals as they were to support child-centred ideals. Furthermore, in stark contrast to the contemporary optimism about a child’s innate, unique potential, the use of the gardening metaphor in the past sometimes supported prejudicial, deterministic views of children. In many ways, therefore, the contemporary use of the metaphor reflects genuine progress in educators’ ideas about children and their potential. Nevertheless, those who employ the gardening metaphor today might learn from some of its past users. Eager to avoid imposing their own goals on children, today child-centred gardeners have resisted articulating normative ideals by which teaching and parenting might be guided. Yet a normative ideal of the educated adult is not inconsistent with child-centred gardening.     

In search of a universal human rights metaphor: Moral conversations across differences

This article takes up the educational challenge of the framers of the Universal Declaration of Human Rights. Specifically, the author explores the question of: how can we talk about a universal conception of human rights in a way that both respects the need for cultural pluralism and the necessity to protect those rights and freedoms that all people—regardless of differences such as race, class, culture, or religion—are entitled to? What metaphor or metaphors can be useful for us to speak clearly and coherently about the issue of universal human rights in a diverse world? The author examines a prevailing yet problematic metaphor, which Makau Mutua critiques in his well-known essay ‘Savages, Victims and Saviors: The Metaphor of Human Rights.’ He then attempts to articulate some common values that can serve as a foundation for an alternative conception of human rights. Next, he proposes an alternative metaphor—the Buddhist notion of equalizing and exchanging self and other—that more aptly captures the complexity and contradictions of talking about universal human rights. Finally, he turns to the role of education in helping people become familiar with and respect this alternative metaphor.     

Why School English Needs a ‘Good Enough’ Grammatics (and Not More Grammar)

At the dawn of a national curriculum for English in Australia, grammar has appeared without any serious interrogation of the terms of its re-entry and against ambiguous evidence about its value for teaching writing. What kinds of knowledge about language do teachers need in rhetorically productive teaching? This article investigates the potential of Halliday’s notion of grammatics for understanding students’ writing as acts of meaning in context. Drawing on systemic-functional linguistics, I show how teachers can assess writing achievement using ‘big picture’ tools like genre, register and ‘small picture’ tools like Expansion. I apply these tools to two student texts that call for attention to creative uses of language and to excursions and to difficulties with logic and coherence. The paper concludes that a ‘good enough’ grammatics will enable teachers to recognize playful developments in students’ texts and also to foster their control of literate discourse.     

Teaching the language of mathematics at three levels of an English-medium primary school

This study, situated in a multilingual, English-medium educational context, draws on theory from mathematics and language education to capture teachers’ perspectives on the place of language in their mathematics pedagogy. The benchmark study explored this topic through surveying and interviewing teachers. Additionally, it sought to relate teachers’ views to their practice by focusing on observing three teachers’ mathematics lessons at primary one, three, and five. Findings are that mathematics teachers placed importance on teaching language, being specifically concerned with language as input and comprehension. They taught vocabulary and reading skills in supportive ways explicitly yet differently at the three grade levels. Particularly at the lower levels, teachers contextualised language in the concrete examples employed for mathematics teaching. At all three levels, prominence was given to teaching pupils how to read word problems as well as how to solve them. However, at primary three, a tension was observed between the two aims of teaching mathematical vocabulary and teaching the reading skills for word problems. This paper illustrates the tension and discusses its possible causes.     

Gifted Metaphors: Exploring the Metaphors of Teachers in Gifted Education and Their Impact on Teaching the Gifted

Metaphors are devices that people employ for both poetic purposes and rhetorical elaboration and belong to the realm of extraordinary language. Metaphors are used to connect abstract ideas and information to more concrete experiences, thus making these experiences more familiar and easier to understand. Moreover, metaphors are more than symbolic intellectual processes; they influence the conceptual understanding of our experiences and help define our everyday realities. For education, there is an important and relevant practical connection between the metaphors that teachers employ and their beliefs about teaching and classroom practices. This stems from the notion that metaphors guide one’s mental framework. In order to gain a deeper understanding of the metaphors influencing teachers in gifted education, this study specifically asked teachers to describe both their metaphors concerning gifted students as well as those influencing their teaching. In this study, nine different themes were identified. This research demonstrates a clear connection between reported metaphors and how gifted students receive their education from teachers. Participants’ answers demonstrate a strong connection between their metaphors and their classroom practices. However, strict adherence to one’s root metaphor increases the chance for dogmatism in the classroom and can lead to potentially incoherent classroom differentiation and a potential disconnect between classroom practices and the actual pedagogical needs of the gifted learner.     

Teacher Ideology and Sex Roles in Curriculum Texts

This paper explores the relationship between teachers’ general beliefs about sexism in society with their views on sexism in curriculum materials. In so doing, it seeks to elaborate on the nature of teachers’ ideological perceptions of sexism, sex roles and feminism. By analysing sex stereotyping in the school texts of one secondary school for the subjects English, mathematics and French, the research reported in the paper substantiates much of the previous research in this area which has found school texts to be male dominated. In conclusion, the paper suggests that, in certain cases, teacher ideology could be a considerable obstacle to the development of anti‐sexist pedagogies because those teachers who support traditional sex roles tend to resist or devalue anti‐sexist initiatives in education.     

The force of habit: channelling young bodies at alternative education spaces

This article develops a novel conceptual framework for examining the (re)formulation of habits in education spaces. It is based on the premise that education spaces are key sites for channelling and intervening in children’s habits, to various ends. The article focuses on the ways educators at alternative education spaces in the United Kingdom seek to (re)formulate children’s habits. In some cases, they do so to combat social exclusion, dealing with some of the most vulnerable children in the UK’s educational system. Drawing on the habit-theories of Ravaisson and Dewey, and commensurate post-human, more-than-social approaches to childhood, the article proposes a two-fold conceptualisation of habit: as ‘(re)calibration’ and as ‘contagion’. The article draws on empirical examples taken from 10 years’ research across 59 alternative education spaces in the United Kingdom. Developing recent educational scholarship on bodies, emotions and affects, it develops an expanded, post-human notion of ‘collective’ habits that might offer a conceptual language for challenging and imagining alternatives to the perceived problems of the neoliberal educational mainstream. However, the article closes by posing some critical questions for further scholarship about why educators might specifically choose to intervene into children’s habits – not least in terms of inclusion and social justice.     

Breaking the habit: engineering students’ understanding of mathematical creativity

ABSTRACT

In higher education, engineering students have to be prepared for their future jobs, with knowledge but also with several soft skills, among them creativity. In this paper, we present a study carried on with 128 engineering undergraduate students on their understanding of mathematical creativity. The students were in the first year of different engineering first degrees in a north-eastern Portuguese university and we analysed the content of their texts for the question ‘What do you understand by mathematical creativity?’. Data collection was done in the first semester of the academic years 2014/2015 and 2016/2017 in a Linear Algebra course. The results showed that ‘problem solving’ category had the majority of the references in 2014/2015, but not in the academic year 2016/2017 were ‘involving mathematics’ category had the majority. This exploratory study pointed out for ‘problem solving’ and ‘involving mathematics’ categories and gave us hints for teaching mathematics courses in engineering degrees.     

“Seeing the Light”: A Cognitive Approach to the Metaphorical in Picture Books

Picture books, as both sophisticated aesthetic objects and literary texts, provide the ideal site for critically examining how values and ideology are transmitted to children. How the child reader might be affected by the process of reading a picture book—that is, how he or she might be moved emotionally and potentially gain new insights about the world—is of interest to scholars and educators alike. This article draws upon cognitive literary theory as a conceptual frame through which to explore the cognitive and emotional affect that reading may have upon children. “Reader response” and “cultural criticism” are approaches to literature that seek to understand how readers interact with texts. Cognitive theory, when applied to literature, builds on these discourses by focusing on why reading fiction might cause the brain to produce emotional and cognitive responses in readers. As metaphors are a feature of language and of thought, a study of the metaphorical in picture books aptly lends itself to the theoretical framework offered by cognitive literary theory. Drawing on examples from four picture books produced for children, broadly correlating to different developmental stages, this article examines the role of metaphor in encouraging skills in decoding and creative thinking. Talking to children about visual metaphor or metaphorical expression introduces them to a feature of language and thought that provides a conceptual frame for richer understanding and expression of ideas. Examining how the metaphorical operates in picture books thus takes us a step closer to understanding how the process of reading affects children and enriches their lives.