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1.
Previously we showed how we measured pedagogy and revealed its association with learning outcomes of sixth‐form college mathematics students. In this project we followed a similar approach to the study of university transition. We particularly sought to identify the students’ perceptions of the transitional experience, and measure the association with learning outcomes. We drew on longitudinal surveys of students entering different programmes in five universities. Following them into their first year or so, allowed us to track their ‘disposition to complete the course’ and their ‘disposition to study more mathematics’, inter alia. We developed and validated two ‘fit‐for‐purpose’ measures of students’ perception of their transition, one we call ‘perception of the transitional gap/jump’ and one we call ‘degree of positive feeling about the transition’. We report some statistically and educationally significant associations between these and the students’ developing dispositions, and discuss the prospects for this approach to studying transition.  相似文献   

2.
Secondary school is a high-risk academic period for young immigrants from disadvantaged environments. Despite this, some students are successful in their transition to post-16 education. The present study examines the relationship between resilience and completing school in immigrant young people in Spain. A mixed method design was followed. Ninety-four students in their fourth year of compulsory education participated; they included 19 different nationalities. Results of this study suggest that students who continue their studies beyond obligatory education have higher levels of resilience. The findings also suggest the activation of the relational dimension of ‘social capital’ in young people. Factors such as academic self-concept, the presence of peers as models of school success and the social capital available in their networks are also relevant.  相似文献   

3.
The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones.  相似文献   

4.
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   

5.
Integrating multiple theoretical frameworks, the authors examined rising first- to fourth-grade students’ mathematics utility conceptions—their knowledge and beliefs about the usefulness of mathematics, home-based mathematics engagement, and grade-level differences in mathematics utility conceptions and home engagement. Most children viewed mathematics as heavily focused on low-level mathematics operations and as learned and used primarily in school. Older children showed more awareness of mathematics as part of daily living, but still viewed mathematics as mostly school-based—more so than their younger counterparts. Results suggest that awareness of mathematics in daily life may be associated with children’s mathematics utility value (perceived usefulness of mathematics). Although children engaged in activities at home with the potential to foster mathematics development, the frequency of engagement was not related to their awareness of mathematics in daily activities. Thus, there may be untapped opportunities for young children to connect the mathematics they learn in school to their daily life.  相似文献   

6.
While research suggests that interactive pedagogy drawing on students’ ideas can improve learning outcomes, it has been found difficult to change mathematics classroom practice in this direction. The reasons for this difficulty remain poorly understood, hindering change at scale. This article focuses on the under‐researched normative aspect of such practice which shapes participants’ actions and expectations. Drawing on theories of social practice and interaction, we define norms as recurrent and socially obligating patterns of, and rationales for, behaviour in a particular social practice. We then examine empirically what and how (new) norms associated with this type of pedagogy are manifest in classroom discursive activity by examining talk across 21 school mathematics lessons by 12 teachers implementing a dialogic intervention. While there is a clear distinction between surface norms and underlying rationales, and a consistent set of surface norms relating to classroom talk can be identified, deeper analysis finds norms to be multi‐dimensional. We illustrate how a surface norm, such as ‘Respect others’ ideas’, can be enunciated in terms of multiple underlying rationales which we term operational, interpersonal, discussional and ideational. Our findings shed new light on why the dialogic intentions of such interventions are often realised in a superficial way. We further examine the ways in which teachers hold students and themselves accountable to the ideational dimension—the dimension that relates to taking students’ ideas seriously in classroom dialogue.  相似文献   

7.
This is the fifth in a series that examines the challenges that teachers in different domains face as they attempt to implement the pedagogical reform ‘Fostering a Community of Learners’ (FCL). Here we focus on the relationship between FCL and the teaching of mathematics. We argue that it is possible to teach mathematics through the FCL pedagogy, but that doing so requires some rethinking of both mathematics instruction and FCL. In particular, we describe three shifts that aided a teacher's implementation of FCL pedagogy with mathematics: the teacher developed a new perspective on mathematics that emphasized the importance of having students learn both mathematical concepts and processes; the teacher developed a new understanding of the role of the teacher in mathematics‐education reform; and the teacher modified his understanding of FCL, coming to believe that a discourse community could be the basis for FCL pedagogy in a mathematics classroom.  相似文献   

8.
We address the current concerns about teaching‐to‐the‐test and its association with declining dispositions towards further study of mathematics and the consequences for choice of STEM subjects at university. In particular, through a mixed study including a large survey sample of over 1000 students and their teachers, and focussed qualitative case studies, we explored the impact of ‘transmissionist’ pedagogic practices on learning outcomes. We report on the construction and validation of a scale to measure teachers’ self‐reported pedagogy. We then use this measure in combination with the students’ survey data and through regression modelling we illustrate significant associations between the pedagogic measure and students’ mathematics dispositions. Finally, we discuss the potential implications of these results for mathematics education and the STEM agenda.  相似文献   

9.
What is the slope of a(linear) function? Due to the ubiquitous use of mathematical software, this seemingly simple question is shown to lead to some subtle issues that are not usually addressed in the school curriculum. In particular, we present evidence that there exists much confusion regarding the connection between the algebraic and geometric aspects of slope, scale and angle. The confusion arises when some common but undeclared default assumptions, concerning the isomorphism between the algebraic and geometric systems, are undermined. The participants in the study were 11th-grade students, prospective and in-service secondary mathematics teachers, mathematics educators and mathematicians — a total of 124 people. All participants responded to a simple but non-standard task, concerning the behavior of slope under a non-homogeneous change of scale. Analysis of the responses reveals two main approaches, which we have termed ‘analytic’ and ‘visual’, as well as some combinations of the two.  相似文献   

10.
Child mental health is a growing concern for policymakers across the global north. Schools have become a key site for mental health interventions, with new programmes aimed at promoting ‘resilience’, through which children may maintain or regain mental health during adversity. As one of the first studies to explore the early impact of intensive mental health promotion in schools from children’s perspectives, we adopt a governmentality approach to consider the logic and techniques of such programmes with a specific focus on England. An innovative visual methodology was used to focus on student perspectives of mental health interventions in school. Young peoples’ photo representations of mental health were collected and used to stimulate focus group discussions with 65 students aged 12–14, across seven schools. ‘Resilience’ was seen to be the key organising concept for mental health interventions in schools. The concept was viewed as narrowly focused on attitude towards—and performance in—school work, with individuals being encouraged to ‘push on through’ difficulties to achieve success. Young people were critical of this approach, suggesting several alternatives. These included increased access to independent mental health professionals, safe spaces within schools and mental health education that addressed the social and affective dimensions of mental health difficulties.  相似文献   

11.

Students’ affective domain has been popular in the mathematics education community in an ongoing attempt to understand students’ learning behavior. Specifically, enhancing students’ motivation in the mathematics classroom is an important issue for teachers and researchers, due to its relation to students’ behavior and achievement. This paper utilized achievement goal theory—an important theoretical prospect on students’ motivation in school settings—to investigate the existence of a model presenting the relation between motivation and other affective constructs and students’ performance in mathematics. In this regard, two types of tests were administered to 321 sixth grade students measuring their motivation and other affective constructs and their performance in mathematics. Using structural equation modeling, we examined the associations among the affective constructs, motivation, and the extent to which these constructs influence students’ performance and interest in mathematics. The data revealed that students’ performance and their interest in mathematics were influenced by fear of failure, self-efficacy beliefs, and achievement goals. We discuss these findings in terms of teaching implications in the mathematics classroom.

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12.
The agenda for widening participation in higher education has led to increasing numbers of students with a broader range of education and family backgrounds. However, transitioning to the university landscape remains a highly complex negotiation process, especially for first‐in‐family students, who cannot draw on previous experience from higher education in their families. Gaining access to informational capital—a combination of cultural and social capital—plays a crucial role in managing education transitions. We draw on rich empirical data obtained from 26 autobiographical narrative interviews with first‐in‐family university students in Austria to investigate how transitions to university are affected by informational capital. We also explore how access to informational capital was influenced by (1) institutional practices, such as initiatives to support students, especially first‐year students; and (2) cultural fit—the extent to which a student's cultural capital corresponded with the dominant cultural capital in the field of their chosen discipline or higher education establishment. Our findings show that gaining access to informational capital was strongly affected by the institutional practices at universities within the different disciplines, thus highlighting the importance of higher education institutions in supporting their students during transition processes. We conclude with policy implications for how higher education institutions can assist first‐in‐family students to succeed at university.  相似文献   

13.
This paper draws on the case studies of six girls between the ages of 10 and 13 and considers their transition to secondary school and involvement in extracurricular sports. Within it, I explore how the girls' understandings of ‘a good education’ affects both their academic and extracurricular/sporting choices. Despite government educational targets which seem to value ‘performative’ academic results, I argue that ideas about a ‘well‐rounded student’ continue to hold particular resonance for middle‐class parents and students. Conversely, I suggest that models of excellence and achievement within education are increasingly echoed in students' sporting participation and that this has specific consequences for working‐class and middle‐class students. I draw particular attention to the girls' experiences of these systems with a view to their ability to convert physical capital accrued in physical activity into other forms of social or cultural capital.  相似文献   

14.
Students’ affective domain has been popular in the mathematics education community in an ongoing attempt to understand students’ learning behavior. Specifically, enhancing students’ motivation in the mathematics classroom is an important issue for teachers and researchers, due to its relation to students’ behavior and achievement. This paper utilized achievement goal theory—an important theoretical prospect on students’ motivation in school settings—to investigate the existence of a model presenting the relation between motivation and other affective constructs and students’ performance in mathematics. In this regard, two types of tests were administered to 321 sixth grade students measuring their motivation and other affective constructs and their performance in mathematics. Using structural equation modeling, we examined the associations among the affective constructs, motivation, and the extent to which these constructs influence students’ performance and interest in mathematics. The data revealed that students’ performance and their interest in mathematics were influenced by fear of failure, self-efficacy beliefs, and achievement goals. We discuss these findings in terms of teaching implications in the mathematics classroom.  相似文献   

15.
Mathematical tasks and tools, including tasks in the form of digital tools, are key resources in mathematics teaching and in mathematics teacher education. Even so, the ‘design’ of mathematical tasks is perceived in different ways: sometimes seen as something distinct from the teaching and learning process, and sometimes as integral to it. Whilst task design has often been carried out by designers or mathematicians (perhaps as textbook authors), the focus for this review article is research that has involved mathematics teachers as partners in the design of tasks. The article provides a state-of-the-art review of relevant literature and is presented under three headings that consider, in turn, the role of mathematical ‘tasks’; the nature of ‘task design’; and the notion of ‘partnerships for task design’ in mathematics education. Subsequently, we present current research that is providing new insights into tasks, task design, and task design partnership. Based on this, we argue that ‘task design’ needs to pay particular attention to what to design, which tools are necessary or beneficial, and under what conditions; digital tools and task resources offer particular affordances that traditional resources cannot provide; and not only do teachers benefit from being partners in task design (in terms of their professional learning) but without their involvement some aspects of task design would most likely be neglected.  相似文献   

16.
The phenomenon in which students enter university under-prepared for the mathematical demands of their undergraduate courses, regularly referred to as the ‘Maths Problem’, has been widely reported in Ireland, UK, Australia, and the US. This issue has been of particular concern in Ireland recently, with beginning undergraduates’ performance of basic mathematical skills showing signs of significant decline in recent years. New mathematics curricula, commonly referred to as ‘Project Maths’, were gradually introduced into the Irish secondary school education system from 2010 onwards. These new curricula aim to place greater emphasis on student understanding of mathematical concepts, use of contexts, and applications of mathematics. This study analyses, through mathematics diagnostic test data gathered between 2008 and 2014, the change in the basic mathematical skills of beginning undergraduates over the time period in which the new mathematics curricula were introduced to secondary education in Ireland. It was found that students’ basic mathematical skills have declined over the time period during which the new mathematics curricula were introduced. Significant declines in beginning undergraduates’ performance of basic mathematical skills were observed during the period 2008–2014, particularly among students who have achieved Higher Level C grades and Higher Level D grades.  相似文献   

17.
The day-to-day business of being a science or mathematics teacher involves the continuous assessment of students. This, in turn, is an inherently discursive process. The aim of the present study is to examine some of the specific discursive practices through which science and mathematics knowing is jointly produced through classroom interaction. In particular, we examine the coproduced nature of two students’ not knowing—one in an outdoor elementary school science lesson and the other in an elementary school mathematics lesson. Our analysis is based on ideas in discursive psychology and challenges conventional interpretations of students’ academic performance in school science and mathematics.  相似文献   

18.
The ‘initiation rituals’ of new students in Portuguese Higher Education are viewed as a lever for group cohesion. Using the group dynamics perspective as a theoretical view, this paper reflects on hazing as an initiation ritual that supports and maintains groups by encouraging cognitive, behavioural and emotional processes of social dependency. For the empirical data analysis, a qualitative methodology was chosen, using the students’ spontaneous discourses about their academic integration. The results point to the diversity of freshmen perspectives on and experiences of hazing: either rejecting or subscribing, no student seems indifferent to it. Hazing can work as a positive catalyst to the construction of statutory identity. Furthermore, the relationship of submission which underlies these transition rituals is experienced by freshmen as a ‘price to pay’ for their entrance in the university world.  相似文献   

19.
Particularly in mathematics, the transition from school to university often appears to be a substantial hurdle in the individual learning biography. Differences between the characters of school mathematics and scientific university mathematics as well as different demands related to the learning cultures in both institutions are discussed as possible reasons for this phenomenon. If these assumptions hold, the transition from school to university could not be considered as a continuous mathematical learning path because it would require a realignment of students’ learning strategies. In particular, students could no longer rely on the effective use of school-related individual resources like knowledge, interest, or self-concept. Accordingly, students would face strong challenges in mathematical learning processes at the beginning of their mathematics study at university. In this contribution, we examine these assumptions by investigating the role of individual mathematical learning prerequisites of 182 first-semester university students majoring in mathematics. In line with the assumptions, our results indicate only a marginal influence of school-related mathematical resources on the study success of the first semester. In contrast, specific precursory knowledge related to scientific mathematics and students’ abilities to develop adequate learning strategies turn out as main factors for a successful transition phase. Implications for the educational practice will be discussed.  相似文献   

20.
This paper provides teachers with an opportunity for thinking about the kinds of ‘people’ constructed in their classes, the kinds of ‘dances’ choreographed and the ways space is organised for learning. We argue that this is essential for teachers to think about if they are to enact socially just professional practices. In this study, we explore the ways in which students learn to be particular kinds of people. We understand this as happening through their participation in communities of practice. Becoming a member of a community of practice, of a classroom and of a school is a process of developing a particular identity, modes of behaviour and ways of knowing. It is through these ‘normalising’ practices that power is constituted, boundaries constructed and certain ‘kinds of people’ are recognised, represented and constituted, whilst others are not. All individuals are implicated in these processes and active in the construction of their own as well as others’ identities. This paper locates this discussion using social relations of gender and ethnicity, and considers how diversity and difference are actively constituted and play out in one primary school classroom. How students participate in the spatial practices and the construction of pedagogical spaces, what identities are available to them in these spaces and which they take up, is explored. The metaphor of dance is used to analyse these spaces, a metaphor which helps us to understand the complexity of classroom relationships and the way macro‐social practices are both reflected and reconstituted in classroom practices. We argue that the ways teachers think about how they place students, space students and construct students are crucial for student and teacher learning.  相似文献   

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