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1.
Understanding signed quantities and its arithmetic is one of the challenging topics of middle school mathematics. The specialized content knowledge (SCK) for teaching integers includes understanding of a variety of representations that may be used while teaching. In this study, we argue that meanings of integers and integer operations form the foundation for the construction of SCK about representations used to teach integers. We report that teachers’ concerns about teaching the topic of integers implicate issues of meaning, although this may not always be explicitly acknowledged by teachers. We develop a framework of integer meanings synthesizing previous research, and describe how the framework allowed teachers to investigate a wide range of representations including contexts and thereby construct SCK in a professional development setting. Teachers constructed SCK by connecting various meanings of integers with one another and with representations including contexts. Teachers made two important shifts, from exclusively using the state meaning of integers to including the application of change meaning to representations and from exclusive use of formal models to including contexts to teach integer addition and subtraction. An implication of the study is that frameworks of meaning for key mathematical topics could be an important component of pre- and in-service teacher education.  相似文献   

2.
对数字的认识和理解可以看成是儿童数学学习的开始,本文通过问卷调查等方法,对5~6岁儿童的学习内容、方法和过程等进行调查,调查发现学前儿童对数的顺序关系、数的基数特点、序数特点以及数的抽象含义等内容能有较好的理解。  相似文献   

3.
This qualitative case study looks closely at an elementary teacher who participated in professional development experiences that helped her develop a hybrid practice of using inquiry-based science to teach both science content and English language development (ELD) to her students, many of whom are English language learners (ELLs). This case study examines the teacher’s reflections on her teaching and her students’ learning as she engaged her students in science learning and supported their developing language skills. It explicates the professional learning experiences that supported the development of this hybrid practice. Closely examining the pedagogical practice and reflections of a teacher who is developing an inquiry-based approach to both science learning and language development can provide insights into how teachers come to integrate their professional development experiences with their classroom expertise in order to create a hybrid inquiry-based science ELD practice. This qualitative case study contributes to the emerging scholarship on the development of teacher practice of inquiry-based science instruction as a vehicle for both science instruction and ELD for ELLs. This study demonstrates how an effective teaching practice that supports both the science and language learning of students can develop from ongoing professional learning experiences that are grounded in current perspectives about language development and that immerse teachers in an inquiry-based approach to learning and instruction. Additionally, this case study also underscores the important role that professional learning opportunities can play in supporting teachers in developing a deeper understanding of the affordances that inquiry-based science can provide for language development.  相似文献   

4.
Much of teacher knowledge research in teacher education has focused on Western views of teacher knowledge. By reporting on a case study of an immigrant Chinese language teacher's personal practical knowledge in teaching secondary school students, this paper presents an Eastern view of teacher knowledge, and illustrates how knowledge and identity are entwined. The study found that an immigrant teacher's awareness of her identity and her cultural heritage had a profound influence on shaping her personal practical knowledge and teaching practice. The paper suggests that more cross-cultural studies be undertaken to further our understanding of teacher knowledge.  相似文献   

5.
How do young graduates view the role of immediate families in influencing/supporting them as they start their working lives and how do those reflections affect how they think of themselves as graduates? Social, political and economic changes have led to many young people being dependent on family for longer, but how does this play out in their reflections? This article addresses these questions by reporting upon findings from qualitative research with 14 young people from working-class backgrounds, who were part of a larger study of recent graduates. Figured Worlds theory illuminates data, with a consideration of the role that family plays in the ‘space of authoring’ and understanding of ‘positionality’. Findings capture vivid stories of the enabling but also limiting role of family. In our analysis of data, we borrow the words ‘salience’ from Holland and her co-authors and ‘distinction’ from Bourdieu, which help capture different depictions of family. Both articulations of ‘salience’ and a search for ‘distinction’ emerge in how graduates’ stories respond to family. We argue for a greater appreciation of the differing family resources of working-class graduates, and reject an emphasis on what they may lack, compared to their peers, which has tended to be the case in some media and policy commentary. There are implications for educators to foster student reflexivity about family sensitively, and to be aware of how family backgrounds may influence graduate career paths and students’ awareness of wider inequalities.  相似文献   

6.
Models are very important tools when learning and communicating about science. Models used in secondary school biology education range from concrete scale models, such as a model of a skeleton, to abstract concept-process models, such as a visualisation of meiosis. Understanding these concept-process models requires a profound understanding of the concept of models and how they are used in biology. This study evaluates an existing framework for its use in assessing students’ understanding of biological concept-process models. Four additions were required to extend the applicability of the framework to concept-process models. We were also able to give an indication of students’ current level of understanding of these models, showing room for improvement in all aspects of understanding. Since concept-process models have a central place in many scientific disciplines, it is important that students have a deep understanding of the nature, application and limitations of these models. The current study contributes to assessing the way students reason with concept-process models. Knowing how to improve students’ view on the use of concept-process models in biology may lead to higher scientific literacy.  相似文献   

7.
Little is known about how specific iPad applications affect parent–child story‐sharing interactions. This study utilises a case‐study approach to provide an insight into the patterns of interaction, which emerge when a mother and her 33‐month‐old daughter share a self‐created, audio‐visual ‘iPad story’. Multimodal analysis allowed us to gain insights into the complex interaction patterns orchestrated in this new, personalised story‐sharing medium. We found that the app‐mediated story‐sharing context produced a harmonious and smooth interaction, achieving a coherence that is typical of ‘happy’ oral stories. We suggest that the observed interaction resembles that of experiencing a piece of art, and we highlight the need for a holistic approach to understanding the implications for research and practice of children's interactions during multimedia story sharing.  相似文献   

8.
ABSTRACT

We present an evaluation of the understanding that adolescents and adults with Down syndrome (DS) have of the decimal number system. The results of two studies are presented. The first was a case study with interviews of three adolescents and three adults with Down syndrome. Our results indicate that their conceptual understanding of the meaning of the tens and hundreds places is not as well developed as their ability to read, write and work with numbers of up to three digits. We also analyse the progress made by a 17- year-old student with Down syndrome after following a learning programme intended to improve her understanding of the tens place. To this end, we designed number tasks using four constructs: counting, grouping, partitioning and ordering. The student’s achievements in the counting construct were greater than in the others, exhibiting an understanding and use of the tens as a unit of counting to solve many of the number tasks proposed. Also evident was a progression in her understanding of the positional value. We observed differences in her success rate and variability in her responses depending on the method used in the tasks to represent the numbers.  相似文献   

9.
Language is widely recognized as an inescapable mediating tool for professional learning, and with this text we want to contribute to a better understanding of the particular role that guided writing can play in in-service professional reflective learning. We analysed one pre-school teacher’s written portfolio, the construction of which was guided to scaffold deep thinking about (and the transference of theory into) practice during participation in an in-service program about language education. Our case study shows that the writing process sustained robust learning about professional knowing, doing and learning itself: The teacher elaborated an integrative ethical understanding of the discussed theory, fully experienced newly informed practices and assessed her own learning by using theory to confront her previous knowledge and practices. Throughout the portfolio, the learning stance revealed by her voice varied accordingly. The study illustrates the potential of guided writing to scaffold reflective learning in in-service contexts.  相似文献   

10.
杨绛先生在她的小说中塑造了一批姿态各异、贴近人性的女性形象,这些形象在现当代文学史上闪耀着璀璨的光芒。究其原因是杨绛在创作中占据了清晰的观察角度,在作品里呈现了自己独特的智慧和思考。解读扬绛小说中的不同类型女性形象,可以更充分地了解扬绛对社会的理解和她小说的丰富内涵。  相似文献   

11.
Sylvia Pantaleo 《Literacy》2012,46(3):147-155
Colour, a visual element of art and design, is a semiotic mode that is used strategically by sign‐makers to communicate meaning. Understanding the meaning‐making potential of colour can enhance students’ understanding, appreciation, interpretation and composition of multimodal texts. This article features a case study of Anya, an 11‐year‐old student who participated in a classroom‐based research project that explored developing student visual meaning‐making skills and competencies by focusing specifically on a selection of visual elements of art and design in picture books and graphic novels. Excerpts from Anya's interview about her multimodal print text revealed that her intentional use of colour was affected by her participation in the learning opportunities afforded during the explorative study that included overt instruction about making meaning with colour. The semiotic analysis of Anya's use of colour in her multimodal text included a consideration of how the various distinctive features of colour were evident in her work. The article concludes with a discussion of pedagogical and assessment issues associated with teaching students about colour and other visual elements of art and design.  相似文献   

12.
This paper examines how parent advocacy and teacher allyship played an important role in supporting six-year-old Violet Addley’s (a pseudonym) gender transition in elementary school. We first met the Addley family in the spring of 2015 when we interviewed them for a research study on the experiences of lesbian, gay, bisexual, transgender, and queer (LGBTQ) families in Ontario schools. The goals of the study are to interview LGBTQ families about issues that come up at school, document how families have worked with schools to create safer and more respectful classrooms for their children, and share the families’ interviews with teachers and principals so they can begin to think about the ways they can best work with LGBTQ parents and their children. Our paper also discusses what a group of teachers learned about parent advocacy and teacher allyship from their engagement with the Addley family interviews.  相似文献   

13.
ABSTRACT

This article proposes translingual dispositions as a way to move beyond the NES/NNES dichotomy in understanding language teacher identity. Recent scholarship in TESOL and Applied Linguistics has problematized the NES/NNES binary from a poststructuralist perspective, highlighting how NES/NNES subjectivities are discursively and performatively (co-)constructed and negotiated. Despite the efforts to empower NNESs, the very binary reifies monolingual ideologies. This article argues that translingual dispositions can help move beyond the binary and complicate theorization of teachers’ identities and practice. To illustrate, we report an ethnographic case study of a “NES” teacher, Daphne, and examine how Daphne’s translingual dispositions shape her teaching and facilitate her students’ creative negotiation of monolingual norms in a writing course. We conclude by discussing future research directions and the implications for language teacher education in fostering translingual dispositions.  相似文献   

14.
While there is growing understanding about children’s moral reasoning for social inclusion and exclusion, we know little about how children reason specifically about the inclusion of aggressive children in school settings. To investigate children’s decisions about such inclusion and how they justified those decisions, this study reports data from 172 children interviewed in Year 1 (female?=?85, male?=?87), between the ages of six and seven and 155 children (female?=?78, male?=?79) who were interviewed again in Year 2. The children’s responses to scenarios regarding inclusion or exclusion of an aggressive child (who is bossy and pushes others around) in their play at school demonstrated that they were more likely to include an aggressive child in their play in Year 2 than in Year 1 of elementary school. They were also more likely in Year 2 to provide justifications that demonstrated a deeper understanding of the reasons for children’s aggressive behaviour at school. These data suggest that children’s school experiences may contribute to their ability to access multiple perspectives when reasoning about inclusion of others. Findings suggest the need to consider more closely how contextual experiences influence young children’s moral reasoning.  相似文献   

15.
This paper builds on previous work (Black et al., Educational Studies in Mathematics 73(1):55-72, 2010) which developed the notion of a leading identity (derived from Leont’ev’s concept of ‘leading activity’) which, we argued, defined students’ motive for studying during late adolescence. We presented two case studies of students in post-compulsory education (Mary and Lee) and highlighted how the concept of a leading identity might be relevant to understanding motivation in mathematics education and particularly the ‘exchange value’ or ‘use value’ of mathematics for these students. (Lee’s identity was mediated by mathematics’ potential exchange value in becoming a university student, and Mary’s more by its perceived use value to her leading identity as an engineer.) In this paper, we follow up Mary’s story as she progresses to university, and we see how she is now ‘led’ by contradictory motives and identities: Mary’s aspirations and decisions seem to be now as much related to her identity as a Muslim woman as to her identity as an engineer. Therefore, we argue that more than one identity/activity may be considered as ‘leading’ at this point in time—e.g. work versus motherhood/parenting, for instance—and this raises conflicts and tensions. We conclude with a more reflexive account of leading identity which recognises the adolescent’s developing awareness of self—an ongoing process of organisation as they experience contradictions in managing their education, work, domestic, community and other lives.  相似文献   

16.
17.
Despite increased attention to the caseworker's role in the successful engagement of fathers and in producing successful child welfare outcomes more generally, little is known about child welfare caseworkers’ attitudes toward non-custodial fathers. Using generalized ordinal logistic regression to analyze attitudes in a sample of child welfare caseworkers from four U.S. states, the present study examines how caseworkers’ demographic, education, and employment characteristics affect their attitudes toward non-custodial fathers. Race/ethnicity and employment characteristics predicted differences in opinion on whether fathers want to be involved, increase children's well-being, need help parenting, and whether involving fathers is troublesome and complicated. Results suggest that caseworkers’ backgrounds serve as inputs into their approach to fathers and indicate a need for further study of the relationship between caseworkers’ characteristics and attitudes, and how these might influence case outcomes.  相似文献   

18.
This is a narrative inquiry into the role of professional development in the construction of teaching practice by an exemplary urban high school science teacher. I collected data during 3 years of ethnographic participant observation in Marie Gonzalez’s classroom. Marie told stories about her experiences in ten years of professional development focused on inquiry science teaching. I use a social practice theory lens to analyze my own stories as well as Marie’s. I make the case that science teaching is best understood as mediated by socially-constructed identities rather than as the end-product of knowledge and beliefs. The cognitive paradigm for understanding teachers’ professional learning fails to consistently produce transformations of teaching practice. In order to design professional development with science teachers that is generative of new knowledge, and is self-sustaining, we must understand how to build knowledge of how to problematize identities and consciously use social practice theory.  相似文献   

19.
本文通过对"吉祥数"研究,发现各位"吉祥数"的个数数列与杨辉三角密切相关,并且正整数的各位"吉祥数"的个数数列是高阶等差数列,因此"吉祥数"问题可应用高阶等差数列的相关知识来解决.  相似文献   

20.
This article explores how schools with below average attainment can support high-attaining learners in their decision-making about university. We report on a project involving longitudinal case studies of 43 high-achieving learners from a range of backgrounds across five institutions, during their sixth form career in 2013/14 and 2014/15, focusing on ways in which aspirations towards university develop. To understand schools’ roles in supporting learners, we draw on Hart's analytical framework which sees the development of aspiration for higher education as a capability—the development of the opportunity freedoms of young people to pursue future trajectories that they have reason to value. We draw attention to the factors that facilitate or hinder this development, and highlight the key crunch points at which this feeds into young people's decision-making about university. We suggest that policy and practice should move beyond a traditional focus on the role of schools in raising aspirations amongst learners from non-traditional backgrounds. Instead, there should be a focus on how schools can support young people to develop a more comprehensive understanding of the university landscape, so that young people do not rule out options without fully understanding them. This will in turn lead to young people being able to make informed choices linked to future trajectories they have reason to value. ‘Learning to play the game’ of attending Russell Group universities needs to be seen as part of the development of this wider capability to aspire.  相似文献   

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