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1.
Dionne I. Cross 《Journal of Mathematics Teacher Education》2009,12(5):325-346
This collective case study reports on an investigation into the relationship between mathematics teachers’ beliefs and their
classroom practices, namely, how they organized their classroom activities, interacted with their students, and assessed their
students’ learning. Additionally, the study examined the pervasiveness of their beliefs in the face of efforts to incorporate
reform-oriented classroom materials and instructional strategies. The participants were five high school teachers of ninth-grade
algebra at different stages in their teaching career. The qualitative analysis of the data revealed that in general beliefs
were very influential on the teachers’ daily pedagogical decisions and that their beliefs about the nature of mathematics
served as a primary source of their beliefs about pedagogy and student learning. Findings from the analysis concur with previous
studies in this area that reveal a clear relationship between these constructs. In addition, the results provide useful insights
for the mathematics education community as it shows the diversity among the inservice teachers’ beliefs (presented as hypothesized
belief models), the role and influence of beliefs about the nature of mathematics on the belief structure and how the teachers
designed their instructional practices to reflect these beliefs. The article concludes with a discussion of implications of
teacher education. 相似文献
2.
3.
Bharath Sriraman 《Interchange》2006,37(1-2):151-178
This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use
of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly
diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom discourse that conveys the
Lakatosian (thought-experimental) view of mathematics as that of continual conjecture-proof-refutation which involves rich
mathematizing experiences. I present a pathway towards this pedagogical goal by presenting student insights into an unusual
counting problem and by using these outcomes to construct ideal mathematical possibilities (content and process) for discourse.
In particular, I re-construct the quasi-empirical approaches of six!4-year old students’ attempts to solve this unusual counting
problem and present the possibilities for mathematizing during classroom discourse in the imaginative spirit of Imre Lakatos.
The pedagogical implications for the teaching and learning of mathematics in the secondary classroom and in mathematics teacher
education are discussed. 相似文献
4.
In this paper, we argue that history might have a profound role to play for learning mathematics by providing a self-evident
(if not indispensable) strategy for revealing meta-discursive rules in mathematics and turning them into explicit objects
of reflection for students. Our argument is based on Sfard’s theory of Thinking as Communicating, combined with ideas from historiography of mathematics regarding a multiple perspective approach to the history of practices
of mathematics. We analyse two project reports from a cohort of history of mathematics projects performed by students at Roskilde
University. These project reports constitute the experiential and empirical basis for our claims. The project reports are
analysed with respect to students’ reflections about meta-discursive rules to illustrate how and in what sense history can
be used in mathematics education to facilitate the development of students’ meta-discursive rules of mathematical discourse. 相似文献
5.
Several mathematics educators have expressed their concern about conflicting visions of educational reform among parents and
teachers, which could result in the emergence of multiple voices in discussions of achievement and instruction. The aim of
this article is to examine the multiple voices of educational reform in the discourse of a third grade classroom community.
In order to achieve our aim, we integrated the social and the individual as well as the past, present, and future in our analysis
of the discourse in this classroom community using theoretical frameworks and methods from cultural psychology. Although our
analyses focused on the classroom teacher, we employed units of analysis capable of bridging the individual and her social
context. We began our analysis by focusing on a sample of whole-class discussions of students’ strategies for solving multi-digit
word problems. This analysis isolated two distinct voices: one that occurred during discussions of students’ invented strategies
and the other that emerged during talk about standard algorithms. We extended our analysis to include information about the
historical, social, and institutional context of the classroom community in order to understand the origins and functions
of these two voices. This additional information helped us appreciate the interconnections between the teacher’s personal
feelings, beliefs, recollections, and expectations; and her interpersonal transactions with her students, their parents, and
other educators. We concluded with a discussion of the implications of the study for understanding one of the dilemmas of
educational reform and for advancing research in classroom discourse.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
6.
Teaching Mathematics in Multilingual Classrooms 总被引：1，自引：0，他引：1
In this paper we present the way in which language issues have become a relevant factor in research which aims to study the
socio-cultural aspects of mathematics education in classrooms with a high percentage of immigrant students. Our research on
language issues focuses on two aspects, namely the language as a social tool within the mathematics classroom and the language
as a vehicle in the construction of mathematical knowledge. We introduce our problem within this area and provide a rationale
for our research methodology, not avoiding its drawbacks,but rather giving examples of the kinds of difficulties we encountered.
The paper highlights the integrated nature of the social, cultural and linguistic aspects of mathematics teaching and learning,
and illustrates the fact that, even if the mathematical language can be considered universal, the language of ‘doing mathematics
within the classroom’ is far from being universal.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
7.
《学习科学杂志》2013,22(1-2):113-163
In this article, we describe a methodology for analyzing the collective learning of the classroom community in terms of the evolution of classroom mathematical practices. To develop the rationale for this approach, we first ground the discussion in our work as mathematics educators who conduct classroom-based design research. We then present a sample analysis taken from a 1st-grade classroom teaching experiment that focused on linear measurement to illustrate how we coordinate a social perspective on communal practices with a psychological perspective on individual students' diverse ways of reasoning as they participate in those practices. In the concluding sections of the article, we frame the sample analysis as a paradigm case in which to clarify aspects of the methodology and consider its usefulness for design research. 相似文献
8.
Anita A. Wager 《Journal of Mathematics Teacher Education》2012,15(1):9-23
Connecting students’ cultural and community mathematical practices to school mathematics is a critical issue in mathematics
education. The goal of the study was to identify how teachers incorporate children’s cultural and out-of-school mathematics
in instruction. Four related practices were identified, and three drew on children’s cultural or out-of-school experiences:
(a) using these experiences as contexts for problems, (b) linking these experiences to school mathematics, and (c) identifying
embedded mathematical practices prominent in these experiences. A fourth category, teacher initiated situated settings, focused
on shared experiences using the classroom as a site of culture. Findings suggest that these practices represent varying levels
of complexity and that use of this framework might support teachers in better relating students’ cultural and out-of-school
experiences to mathematics. 相似文献
9.
This study examines the discursive practice of participation in an elementary classroom community aiming towards collective meaning making and joint creation of knowledge. The theoretical and methodological basis of the study is shaped by the sociocultural and sociolinguistic approaches. Through examining the communicative practices and discursive roles of the students and the teacher, the study highlights the participation rights and responsibilities of classroom members and demonstrates how these shape the location and nature of knowledge constructed during a lesson. The empirical data for this study emerge from a Finnish third grade class consisting of seventeen students. Detailed, multi-level analyses were carried out on transcribed video-recordings of classroom interactions located within the contexts of Collective problem-solving in mathematics, Group investigation in science and Open-ended dialogue in philosophy. The results show that the cultural rules for communicative participation in this classroom provided the students with a space to take authority in cognitive work, whereas the teachers responsibility was more directed to the management of interactional practices. The nature of knowledge negotiated during the lessons was by and large based upon view sharing and defining, as well as asking for and providing evidence, instead of mere information exchange. The study also shows that the communicative roles and responsibilities of the classroom members differed across the learning situations. Intentions of collective meaning-making did not always result in multilateral interactions that would invite all classroom members into active participation. Moreover, challenges were identified in the integration and application of the participants personal histories and experiences as resources for joint meaning-making. In all, the study shows how the discursive norms of the classroom can be aligned with supporting active participation and collective creation of knowledge, but can also be counterproductive in these domains. 相似文献
10.
In the learning sciences, students’ understanding of scientific concepts has often been approached in terms of conceptual change. These studies are grounded in a cognitive or a socio-cognitive approach to students’ understanding and imply a focus on the
individuals’ mental representations of scientific concepts and ideas. We approach students’ conceptual change from a socio-cultural
perspective as they make new meaning in genetics. Adhering to a socio-cultural perspective, we emphasize the discursive and
interactional aspects of human learning and understanding. This perspective implies that the focus is on students’ meaning
making processes in collaborative learning activities. In the study, we conduct an analysis of a group of students’ who interact
while working to solve problems in genetics. In our analyses we emphasize four analytical aspects of the students’ meaning
making: (a) the students’ use of resources in problematizing, (b) teacher interventions, (c) changes in interactional accomplishments,
and (d) the institutional aspect of meaning making. Our findings suggest that students’ meaning making surrounding genetics
concepts relates not only to an epistemic concern but also to an interactional and an institutional concern.
Anniken Furberg is a PhD student in education at InterMedia, the University of Oslo. After earning a master’s degree in education at the University of Oslo (1998) she spent four years working as a researcher at Telenor R&I. She still has her position in Telenor R&I but performs her PhD work on a daily basis at InterMedia, the University of Oslo. Her research interests include the socio-cultural approach to collaborative learning, socio-scientific issues, computer-supported learning, and analyses of students’ and teachers’ classroom talk. Hans Christian Arnseth is an associate professor/research director at the Network for IT-Research and Competence in Education, University of Oslo. In 2004 he earned his PhD in education at the University of Oslo. He currently works with initializing and coordinating national and international research programs related to ICT in education. His research explores computer-supported collaborative learning, computer gaming and learning, and analyses of students’ classroom interaction. 相似文献
| Anniken FurbergEmail: |
Anniken Furberg is a PhD student in education at InterMedia, the University of Oslo. After earning a master’s degree in education at the University of Oslo (1998) she spent four years working as a researcher at Telenor R&I. She still has her position in Telenor R&I but performs her PhD work on a daily basis at InterMedia, the University of Oslo. Her research interests include the socio-cultural approach to collaborative learning, socio-scientific issues, computer-supported learning, and analyses of students’ and teachers’ classroom talk. Hans Christian Arnseth is an associate professor/research director at the Network for IT-Research and Competence in Education, University of Oslo. In 2004 he earned his PhD in education at the University of Oslo. He currently works with initializing and coordinating national and international research programs related to ICT in education. His research explores computer-supported collaborative learning, computer gaming and learning, and analyses of students’ classroom interaction. 相似文献
11.
In this paper, relying on the sociocultural framework of learning, we report on the results of an ethnographically-grounded investigation of agency work among nine pre-service teachers: The main objective is to determine how agency emerges and is constructed in situated discourse practices within the context of a teacher education program embedded in the collective inquiry approach. Our study identifies the forms of agency that emerged in the collective discussions of the classroom community, evidencing pre-service teachers’ transformative agency, relational agency and epistemic agency. This study also shows that the negotiation and framing of agency, and acting as accountable authors, involves changes in teacher-student positions, such as crossing and transforming traditional expert-novice boundaries, as well as recognizing and crediting this crossing of boundaries. The methods and conditions for supporting students’ agency work in teacher education are discussed. 相似文献
12.
Maria Inês Mafra Goulart Wolff-Michael Roth 《Cultural Studies of Science Education》2010,5(3):533-562
In this study we investigate how 5-year-old children in Brazil and their teachers collectively design science curriculum.
More specifically, we develop an agency|structure dialectic as a framework to describe this collective praxis in which science
curriculum may emerge as the result of children–teacher transactions rather than as a result of being predetermined and controlled
by the latter. We draw on a cultural-historical approach and on the theory of structure and agency to analyze the events showing
the complexity of the activity inside a classroom of very young children by science education standards. Data were collected
in the context of a science unit in an early-childhood education program in Belo Horizonte. Our study suggests that (a) throughout
the movement of agency|passivity || schema|resources one can observe participative thinking, a form of collective consciousness
that arises in and from lived experience; (b) learning is a process in which a group is invested in searching for solutions
while they create schemas and rearrange resources to evolve a new structure; and (c) the emergent curriculum is a powerful
form of praxis that develops children’s participation from early childhood on. 相似文献
13.
The effect of using a video clip presenting a contextual story on low-achieving students’ mathematical discourse 总被引：1，自引：0，他引：1
The question of how to enhance the learning of low-achieving students in mathematics presents an important challenge to researchers
and teachers alike. We investigated whether and how the use of a contextual story presented in a video clip facilitated low-achieving
students’ understanding of the meaning of fraction expansion. To this end, we (a) videotaped one group of three such students
during a guided interaction session, (b) interviewed students and teachers about their first impressions of the use of the
video clip, and (c) conducted pre–post-tests to examine the discourse students choose to employ to discuss expansion. Despite
the interviewees’ impression that the use of the video clips makes it easier to remember the story, the analysis of the guided
interaction session revealed that the students did not use it spontaneously when asked to explain why a fraction and its expanded
form are equivalent. Rather, their explanations revolved around the expansion procedure. It was the tutor’s careful interventions
in the discourse, building on the students’ recall of the story, which led to a synergy effect that facilitated the students’
understanding and articulation of the meaning of fraction expansion. This combination proved to be a potentially successful
strategy in effectively promoting low-achieving students’ understanding in mathematics, as demonstrated in the students’ discourse
and post-test performance. At the same time, our results highlight the delicate scaffolding required to achieve a beneficial
effect. 相似文献
14.
Dacheng Zhao Michael Singh 《International Journal of Science and Mathematics Education》2011,9(1):69-87
International comparative studies and cross-cultural studies of mathematics achievement indicate that Chinese students (whether
living in or outside China) consistently outperform their Western counterparts. This study shows that the gap between Chinese-Australian
and other Australian students is best explained by differences in motivation to achieve, attributing success to effort, the
influence of parental help and the use of extra mathematics curricula. The argument explored is, in order to promote students’
mathematics achievement, we must improve the pedagogical knowledge of classroom teachers of mathematics, as well as to encourage
parents’ involvement in the mathematics education of their children and to promote students’ motivation to learn mathematics. 相似文献
15.
Lorraine M. Males Samuel Otten Beth A. Herbel-Eisenmann 《Journal of Mathematics Teacher Education》2010,13(6):459-471
This article examines mathematics teacher collegiality by focusing on both the ways in which teachers interacted as critical
colleagues in a long-term professional development project and the evolving role of the teacher–educator–researcher as the
facilitator of this project. The professional development collaboration comprised two phases: one focused on reading classroom
discourse literature and one focused on supporting each other through cycles of action research related to mathematics classroom
discourse. Lord’s (1994) critical colleagueship framework is used to examine how a study group of middle-grades (ages 11–16) mathematics teacher–researchers
took (or did not take) a more critical stance toward their own teaching practice and that of their colleagues. We found that
challenging interactions were related to instances in which the teachers interacted as critical colleagues and were marked
by particular features including the use of particular words and the use of personal experience as a form of evidence. We
present the ways in which we came to understand what it might look like to scrutinize one’s practice and findings related
to the development of this type of collegiality across the two different phases of this project. We end with a section in
which the teacher–educator–researcher who facilitated the professional development project reflects on the ways in which the
analysis caused her to reconsider both the nature of argumentation in mathematics study group settings and what implications
this has with respect to her own practice as a facilitator. 相似文献
16.
Anderson Hassell Norton Andrea McCloskey 《Journal of Mathematics Teacher Education》2008,11(4):285-305
The challenge that we address concerns teachers’ shifts toward student-centered instruction. We report on a yearlong professional
development study in which two United States elementary school teachers engaged in a teaching experiment, as described by
Steffe and Thompson (in: Lesh and Kelly (eds) Research on design in mathematics and science education, 2000). The teaching
experiment involved close mathematical interactions with a pair of students after school, in the context of solving fractions
tasks. By conducting a teaching experiment, we anticipated that each teacher would have more opportunity to develop insight
into students’ mathematics. We also anticipated that these insights would influence the teachers’ classroom practice, even
without explicit support for such a shift. Indeed, the teachers found that they began asking more probing questions of their
students and spending more time listening to students’ explanations, but shifts to classroom practice were limited by constraining
factors such an inflexible curriculum. 相似文献
17.
Roberta Hunter 《Journal of Mathematics Teacher Education》2010,13(5):397-409
In the current shifts in mathematics classrooms, teachers are challenged to use effective pedagogy to develop inquiry communities
in which all participants are offered opportunities to engage in the reasoning discourse of proficient mathematical practices.
The challenge for teachers is to know how to implement these pedagogical changes. This article outlines how a teacher and
researcher worked together in a collaborative partnership using a purposely designed communication and participation framework
as a tool to scaffold development of collective reasoning in the inquiry community. The findings illustrate the interconnections
between the teacher’s beliefs, past experiences, and current, and future expectations for her diverse students. Explanations
are provided of how different, often conflicting, voices emerged including one that drew on the teacher’s cultural knowledge.
This provided many learning opportunities for the researcher as the teacher developed her students’ voices in culturally appropriate
ways. 相似文献
18.
Isabel Escudero Victoria Sánchez 《International Journal of Science and Mathematics Education》2008,6(1):87-106
In this paper we try to characterize the pedagogical approaches that mathematics teachers are developing to meet the challenges
posed by education reforms. A key aspect is the identification of the perspectives that underlie those pedagogical approaches,
using the term perspective to include a broad pedagogical structure composed of multiple conceptions that are related to some
aspects of a teacher’s practice. Through the study of the practice of a secondary mathematics teacher, we try to explore how
his/her pedagogical approaches on mathematics, mathematics learning, and mathematics teaching are related to the relational
architecture that is established in the classroom during the development of an instructional unit of similarity at a secondary
school level, and we examine if that relationship can be explained in terms of the underlying perspective. The results of
the study have shown the characteristics of that relationship, and the important role that the teacher’s knowledge of the
students’ difficulties plays both in making decisions and in developing the teachers’ actions. 相似文献
19.
20.
Discourse and learning in a Norwegian multiethnic classroom: Developing shared understanding through classroom discourse 总被引：1，自引：0，他引：1
This article explores the mediational role of classroom discourse in the development of shared understanding in the multiethnic
classroom Successful participation in classroom discourse not only requires linguistic and cognitive competence, but also
demands cultural knowledge, which often is taken for granted. Research carried out in a multiethnic third grade class in Norway
reveals that a discrepancy between teachers’ implicit assumptions of what is “common knowledge” and minority pupils’ lack
of background knowledge might impede joint meaning construction. Discourse episodes, illustrating various misunderstandings,
are analyzed and compared. The analysis of the discourse focuses on how the topical content, the multiple reference frames
applied, and the particular forms of discourse used, jointly create the framework within which development of shared understanding
occurs or fails to occur. It becomes apparent that various discourse patterns, creating different premises for pupil participation,
afford different ways of dealing with the misunderstandings encountered. It is argued that disparities in understanding should
not be looked upon as “transmission errors”, that are something to be avoided in classroom dialogue, but might be viewed as
generators of new understandings. The article is based on qualitative analysis of discourse excerpts, using transcribed audio
recordings, field notes and interviews. 相似文献