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1.
The curricular importance of mathematics: a comparison of English and Hungarian teachers’ espoused beliefs 总被引：1，自引：0，他引：1
Paul Andrews 《课程研究杂志》2013,45(3):317-338
This paper reports an interview study of 45 English and 10 Hungarian teachers of mathematics. The semi‐structured interviews focused on the teachers’ professional life‐histories and invited them to discuss their beliefs about the necessary subject content for the teaching and learning of mathematics. Substantial differences emerged between the two cohorts, which accord with well‐defined national perspectives on education in general and mathematics education in particular. They reflect, at national rather than individual levels, the expectations of the curricular frameworks within which teachers operate. English teachers tended to view mathematics as applicable number and the means by which learners are prepared for a world beyond school. Hungarian teachers privileged mathematics as problem‐solving and logical thinking. 相似文献
2.
Tony Brown 《Educational Studies in Mathematics》2010,75(3):329-343
Mathematics education research must enable adjustment to new conditions. Yet such research is often conducted within familiar
conceptualisations of teaching, of learning and of mathematics. It may be necessary to express ourselves in new ways if we
are to change our practices successfully, and potential changes can be understood in many alternative, sometimes conflicting,
ways. The paper argues that our entrapment in specific pedagogic forms of mathematical knowledge and the styles of teaching
that go with them can constrain students’ engagement with processes of cultural renewal and changes in the ways in which mathematics
may be framed for new purposes, but there are some mathematical truths that survive the changing circumstances that require
us to update our understandings of teaching and learning the subject. In meeting this challenge, Radford encountered a difficulty
in framing notions of mathematical objectivity and truth commensurate with a cultural–historical perspective. Following Badiou,
this paper distinguishes between objectivity, which is seen necessarily as a product of culturally generated knowledge, and
truth, as glimpsed beyond the on-going attempt to fit a new language that never finally settles. Through this route, it is
shown how Badiou’s differentiation of knowledge and truth enables us to conjure more futuristic conceptions of mathematics
education. 相似文献
3.
Despina A. Stylianou 《Journal of Mathematics Teacher Education》2010,13(4):325-343
Current reform efforts call for an emphasis on the use of representation in the mathematics classroom across levels and topics.
The aim of the study was to examine teachers’ conceptions of representation as a process in doing mathematics, and their perspectives
on the role of representations in the teaching and learning of mathematics at the middle-school level. Interviews with middle
school mathematics teachers suggest that teachers use representations in varied ways in their own mathematical work and have
developed working definitions of the term primarily as a product in problem solving. However, teachers’ conception of representation
as a process and a mathematical practice appears to be less developed, and, as a result, representations may have a peripheral
role in their instruction as well. Further, the data suggested that representation is viewed as a topic of study rather than
as a general process, and as a goal for the learning of only a minority of the students—the high-performing ones. Implications
for mathematics teacher education, prospective and practicing, are discussed. 相似文献
4.
Kooloos Chris Oolbekkink-Marchand Helma van Boven Saskia Kaenders Rainer Heckman Gert 《Journal of Mathematics Teacher Education》2022,25(4):453-477
Often, mathematics teachers do not incorporate whole-class discourse of students’ various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students’ thinking and develop their collective construction of mathematics. This study explores the decision-making patterns of five experienced Dutch mathematics teachers during their novice attempts at orchestrating whole-class discourse concerning students’ various solution methods. Our goal has been to unpack the complexity of their in-the-moment decision-making during whole-class discourse through lesson observations and stimulated recall interviews. We investigated teacher decision-making adopting a model that combines two perspectives, namely (1) we explored student-teacher interaction with regard to building on student thinking and (2) we explored how the teachers based decisions during such interaction upon their own personal conceptions and interpretation of student thinking. During these novice attempts at orchestrating whole-class discourse, the teachers created many situations for students to articulate their thinking. We found that at certain instances, teachers’ in-the-moment decision-making resulted in opportunities to build on student thinking that were not completely seized. During such instances, the teachers’ decision-making was shaped by the teachers’ own conceptions of the relevant mathematics and by teacher conceptions that centered around student understanding and mathematical goals. Our findings suggest that teachers might be supported in their novice attempts at whole-class discourse by explicit discussion of the mathematics and of their conceptions with regard to student understanding and mathematical goals.
相似文献5.
Cecilia Agudelo-Valderrama Barbara Clarke Alan J. Bishop 《Journal of Mathematics Teacher Education》2007,10(2):69-93
This article arises from a study whose overall purpose was to investigate the relationship between Colombian mathematics teachers’
conceptions of beginning algebra and their conceptions of their own teaching practices. The teachers’ understandings of their teaching practices were explored with a view to unravelling their
conceptions of change in their teaching. Focusing on the perspectives of teachers afforded opportunities that exposed the
powerful role that the teachers’ conceptions of social/institutional factors of teaching played in their conceptions of their
practices. The degree to which the teachers attributed these (external) factors as crucial reasons for what they do in their
teaching was the basis of a categorisation of their conceptions of the crucial determinants of their teaching practices into
three types. The findings are particularly relevant to our understanding of the stability of mathematics teaching approaches
in the Colombian context but have likely implications for a range of international education contexts. Specific implications
for the development of the research into teachers’ conceptions of mathematics and its teaching, and for teacher education
programmes are presented.
相似文献
| Alan J. BishopEmail: |
6.
This paper describes a mixed-methods case study of a national reform of College English teaching in China which called for
the integration of ICT (information and communication technology) into English classroom teaching and self-access learning.
The study examined ICT implementation of the national reform in a specific tertiary institution from the perspectives of ICT
use in language education and ICT-related policies and practices for EFL (English as a Foreign Language) teachers. The findings
indicated that the reform had represented a challenge for teachers, who were expected to adapt to technologically-enhanced
teaching materials, embrace student-centred classroom teaching and guide students’ autonomous learning in ICT settings. Constraints
included insufficient ICT facilities, teachers’ limited ICT skills and pedagogic expertise; and lack of effective communication
networks and inadequate technical support and ICT-related training also hindered the smooth ICT implementation of the reform.
Implications for national and institutional policy-making are discussed. 相似文献
7.
This article presents findings from an ongoing study of urban teachers' efforts to embrace mathematics reform with student populations that are culturally, linguistically, and socioeconomically diverse (CLSD). We investigate the teacher's role in providing accessible and valuable mathematical learning opportunities to diverse students. Through narrative vignettes of practice and analyses of the personal and intellectual resources teachers draw on in CLSD contexts, we examine the challenges and possibilities two third-grade teachers face as they attempt such reform. One teacher's strengths were in making cultural connections with her students; the other's strengths were in pursuing complex and meaningful mathematics with her students. Building on our analysis, we offer a framework for examining the work of attending to mathematical and cultural issues simultaneously. Our findings suggest that such work is complex; however, teachers are seldom supported in their efforts to integrate these two perspectives. Our aim is to examine the dimensions of culturally relevant mathematics teaching and explore where the fields of mathematics and bilingual-bicultural education need to speak to one another. 相似文献
8.
Romano Gatto 《Science & Education》2006,15(2-4):235-258
The Ordo servundum in addiscendis disciplinis mathematicis is a milestone in the history of the teaching of mathematics. Conceived by Christoph Clavius for the Jesuit Colleges, it
was not only a syllabus for mathematical studies for the students at Jesuit colleges but also an instrument for training mathematics
teachers. Its coherence and its skilful, innovative, modular format have made it a masterpiece of pedagogic technique. This
marks the end of a long and arduous journey throughout which Clavius’ patient and persistent persuasion convinced the Company
that mathematics should be an integral part of the syllabus in Jesuit colleges. 相似文献
9.
10.
Our study investigates perspectives of mathematics teacher educators related to the usage of their mathematical knowledge
in teaching “Methods of Teaching Elementary Mathematics” courses. Five mathematics teacher educators, all with experience
in teaching methods courses for prospective elementary school teachers, participated in this study. In a clinical interview
setting, the participants described where and how, in their teaching of elementary methods courses, they had an opportunity
to use their advanced mathematical knowledge and provided examples of such opportunities or situations. We outline five apparently
different viewpoints and then turn to the similar concerns that were expressed by the participants. In conclusion, we connect
the individual perspectives by situating them in the context of unifying themes, both theoretical and practical. 相似文献
11.
The changes in mathematical curricula induced by the introduction of informatics in school represent the general framework of this research. In particular we focus on the teacher's role by analysing the different choices taken by mathematics teachers when faced with a curriculum reform induced by the introduction of informatics in secondary school courses (age 14–16). Our hypothesis is that these choices are the consequence of conceptions teachers have about informatics and its teaching in relation to the teaching of mathematics. Thus, through a case study research method, we focus on mathematics teachers' conceptions of informatics and its teaching. An attempt is made at outlining a typology of these conceptions, based on the different orientations identified. 相似文献
12.
The power of Colombian mathematics teachers’ conceptions of social/institutional factors of teaching
Cecilia Agudelo-Valderrama 《Educational Studies in Mathematics》2008,68(1):37-54
In this paper I shall discuss data from a study on Colombian mathematics teachers’ conceptions of their own teaching practices
of beginning algebra, which led to the development of a theoretical model of teachers’ thought structures designed as a thinking
tool at the initial stage of the study. With a focus on the perspectives of teachers, the study investigated the relationship
between the teachers’ conceptions of beginning algebra and their conceptions of their own teaching practices, with a view
to unravelling their conceptions of change in their practices. Significant findings which threw light on the aforementioned
relationship have been presented in Agudelo-Valderrama, Clarke and Bishop (2007), highlighting a direct association between
a teacher’s conceptions of the nature of beginning algebra, the crucial determinants of her/his teaching practice, and her/his
attitude to change. After an overview of the study, this paper focuses on specific evidence which clearly shows that in contrast
to the strong relationship between a teacher’s conceptions of mathematics and her/his teaching practice, assumed in the theoretical
model of teachers’ thought structures, the teachers see a strong relationship between their conceptions of social/institutional
factors of teaching and what they do in their teaching. Implications of the findings for teacher education in Colombia are
identified.
相似文献
| Cecilia Agudelo-ValderramaEmail: |
13.
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. 相似文献
14.
Pnina S. Klein Esther Adi-Japha Simcha Hakak-Benizri 《Educational Studies in Mathematics》2010,73(3):233-246
The objective of this study was to examine gender differences in the relations between verbal, spatial, mathematics, and teacher–child
mathematics interaction variables. Kindergarten children (N = 80) were videotaped playing games that require mathematical reasoning in the presence of their teachers. The children’s
mathematics, spatial, and verbal skills and the teachers’ mathematical communication were assessed. No gender differences
were found between the mathematical achievements of the boys and girls, or between their verbal and spatial skills. However,
mathematics performance was related to boys’ spatial reasoning and to girls’ verbal skills, suggesting that they use different
processes for solving mathematical problems. Furthermore, the boys’ levels of spatial and verbal skills were not found to
be related, whereas they were significantly related for girls. The mathematical communication level provided in teacher–child
interactions was found to be related to girls’ but not to boys’ mathematics performance, suggesting that boys may need other
forms of mathematics communication and teaching. 相似文献
15.
Susanne Prediger 《Journal of Mathematics Teacher Education》2010,13(1):73-93
What kind of mathematical knowledge do prospective teachers need for teaching and for understanding student thinking? And
how can its construction be enhanced? This article contributes to the ongoing discussion on mathematics-for-teaching by investigating
the case of understanding students’ perspectives on equations and equalities and on meanings of the equal sign. It is shown
that diagnostic competence comprises didactically sensitive mathematical knowledge, especially about different meanings of
mathematical objects. The theoretical claims are substantiated by a report on a teacher education course, which draws on the
analysis of student thinking as an opportunity to construct didactically sensitive mathematical knowledge for teaching for
pre-service middle-school mathematics teachers. 相似文献
16.
Teacher education programs have adopted preparing science teachers that teach science through inquiry as an important pedagogic
agenda. However, their efforts have not met with much success. While traditional explanations for this failure focus largely
on preservice science teachers’ knowledge, beliefs and conceptions regarding science and science teaching, this conceptual
paper seeks to direct attention toward discursive practices surrounding inquiry science teaching in teacher education programs
for understanding why most science teachers do not teach science through inquiry. The paper offers a theoretical framework
centered on critical notions of subjection and performativity as a much needed perspective on making/becoming of science teachers through participation in discursive practices of science
teacher education programs. It argues that research based on such perspectives have much potential to offer a deeper understanding
of the difficult challenges teacher education programs face in preparing inquiry practicing science teachers. 相似文献
17.
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
18.
Teachers’ conceptions of learning philosophies: discussing context and contextualising discussion 总被引：2，自引：1，他引：2
Tony Brown Una Hanley Susan Darby Nigel Calder 《Journal of Mathematics Teacher Education》2007,10(3):183-200
With the introduction of any new initiative into the mathematics classroom, there is often an assumption that it will produce
visible and measurable effects in teaching approaches and pupil progress. Yet, there is a body of research that tempers such
optimism, drawing attention to a series of mitigating factors, for example, the deep-seated nature of teachers’ practices,
their implicit or stated beliefs and values, and their lack of detailed awareness of how they perform in the classroom. Rather
than make associative links between these factors and the success of the initiative, our intention is to examine the ways
in which teachers are trying to interpret what the new scheme requires of them and how in turn, engaging with it causes them
to re-describe both their pedagogic understanding and classroom practices relationally to earlier approaches. Employing data
from a small project, we seek to examine four teachers’ moves to grapple with this attempted shift from one teaching paradigm
to another by considering how certain key terms serve to anchor the teachers’ conceptions of themselves during this transition
and find that their responses can be idiosyncratic and varied depending on the approaches in which they have been previously
embedded. By using theoretical ideas from some neo-Marxist writers we examine these discursive shifts and their relevance
to conceiving curriculum change. We suggest that the individual’s teaching practice develops as a result of it being understood
and enacted through a succession of ideological filters, each adding to the cumulative experience of the teacher. 相似文献
19.
The study considers mathematical problem solving to be at the heart of mathematics teaching and learning, while mathematical challenge is a core element of any educational process. The study design addresses the complexity of teachers’ knowledge. It is aimed at exploring the development of teachers’ mathematical and pedagogical conceptions associated with systematic employment of multiple-solution tasks (MSTs) in a “problem-solving” course for prospective mathematics teachers (PMTs). Our attention to teachers’ mathematical conceptions focused on the development of PMTs’ problem-solving competences. Our attention to teachers’ meta-mathematical and pedagogical conceptions focused on changes in teachers’ views concerning the level of interest and level of difficulty of the mathematical tasks. We differentiated between the systematic and craft modes of professional development integrated in the course. Systematic mode involved problem-solving sessions and reflective discussions on collective solution spaces. Craft mode involved interviewing school students. The study demonstrates the effectiveness of MSTs for PMTs’ professional development. 相似文献
20.
数学教学思维模式是在一定的文化及社会背景下，由数学教学观念、知识和技能综合形成的一种思维方式，是对数学教师关于数学教学中种种问题的看法和态度的一种概括。对数学教学思维模式的研究是长期的课题。要通过教改实验，将一些新的思想注入到数学模式中去。 相似文献