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1.
In this article, I introduce a framework—the What, Who, and How of mathematics—that emerged from studying my teaching of prospective teachers and their views of the social and political dimensions of mathematics teaching and learning. The What, Who, How framework asks us to consider What messages we send about mathematics and the world, Whose perspectives are represented in mathematics, and How mathematical concepts and our world are related. I situate each aspect of the framework in the literature on social justice and critical mathematics and provide examples of prospective teachers’ views. The What, Who, How serves as a tool to understand prospective teachers’ views, to navigate a broad range of literature on social justice mathematics, and a means of informing the practice of teachers and teacher educators. 相似文献
2.
Sandra Crespo 《Journal of Mathematics Teacher Education》2000,3(2):155-181
Listening to students' mathematical thinking is one of the trademarks of reform-minded visions of mathematics teaching. The
questions of when, where, how, and what might help prospective teachers learn to do so,however, remain open. This study examines
how a mathematics letter exchange with Grade 4 students provided an occasion for prospective teachers to learn about students'
mathematical thinking and to examine their interpretive practices. Analysis of the interactions between students and prospective
teachers, and of the reflective writing of the latter,revealed changes in the patterns of their interpretations. I characterized
these as changes in the focus of interpretation, from correctness to meaning, and in the interpretive approach, from quick
and conclusive to thoughtful and tentative. I also discuss factors associated with these interpretive turns.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
3.
Constantinos Xenofontos 《Cambridge Journal of Education》2015,45(4):475-488
Research in diverse mathematics classrooms suggests that pupils’ learning is influenced by both linguistic and cultural factors. In recent years, the demographics of Cypriot (mathematics) classrooms have become very diverse. In 2003, the Ministry of Education and Culture introduced the Zones of Educational Priorities, a UNESCO strategy for positive discrimination, to support schools with high proportions of immigrant pupils. This paper examines how elementary teachers in such schools see their immigrant pupils as learners of mathematics. The findings confirm two main factors identified in the literature (language and culture), yet the Cypriot teachers in this study share some particular views on how these features impact mathematics learning. Some recommendations for policy-making and future research are discussed at the end of this paper. 相似文献
4.
Aspects of Children's Mathematics Anxiety 总被引：2，自引：0，他引：2
Karen Newstead 《Educational Studies in Mathematics》1998,36(1):53-71
This study focuses on mathematics anxiety in nine- to eleven-year-old children and compares the mathematics anxiety of pupils taught in a traditional manner with that of pupils whose teachers adopted an alternative teaching approach emphasising problem-solving and discussion of pupils' own informal strategies. One finding is that pupils who were exposed to a traditional approach reported more mathematics anxiety than those who were exposed to the alternative approach, particularly with regard to the social, public aspects of doing mathematics. The question is raised whether it is these public aspects of doing mathematics in the presence of teachers and peers which actually evoke mathematics anxiety in many pupils, and not working with numbers or doing sums. However, the majority of pupils in this study reacted with either high or low anxiety to both aspects of doing mathematics. 相似文献
5.
Pupil voice is an emerging force for change and improvement in many UK schools, but what is not fully understood is how best to access pupil voice within the specific context of secondary mathematics departments. This paper presents a research project designed to use pupils as co-researchers in increasing knowledge about how to improve learning in mathematics. Pupils within the school were selected and trained as “Ambassadors” to understand and disseminate innovative ways of learning mathematics into their school environment and to act to allow the voice of all the pupils in their year group to be heard. The project was intended both to raise the pupils’ awareness of how learning mathematics could be different and to enable them to voice their newly informed opinions about how best they learned mathematics. The pupils’ current feelings about the way that they were taught mathematics were explored, but the focus of the project was on enabling the pupils to make informed decisions about how they felt their learning could be improved. The pupils’ awareness of different ways of learning mathematics was raised by introducing them to alternative teaching approaches. The data generated were initially analysed by the pupils themselves in order to inform their teachers about their views and subsequently constant comparison analysis resulted in the outcomes reported here. The outcomes indicate that the students could have an important role in enabling schools to develop their teaching and improve their pupils’ mathematical learning when that voice is both informed and authorised. 相似文献
6.
《Studying Teacher Education》2013,9(1):69-83
For many years I have engaged future mathematics teachers in activities that focus on emotional dimensions of their learning. Even those teachers who were able to reconstruct themselves as learners of mathematics had difficulties with changing their practice. Through a series of autobiographical stories, I examine my own experiences as a teacher and a learner. These stories—one from a computer class, one from a workshop for elementary teachers, one from college, and one from eighth grade—serve as data from which I draw themes that capture the tensions that I experience as I teach. Sharing these tensions with mathematics teachers has had an impact on the way the teachers talk about their teaching and promises to change how they teach. The paper is written to encourage teacher educators to adopt the practice of sharing teaching and learning stories with their students. 相似文献
7.
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
8.
民族地区小学生数学学习态度调查研究 总被引：1，自引：1，他引：0
本研究以民族地区194名少数民族和汉族小学生为被试,使用问卷法对小学生数学学习态度的现状进行调查,结果表明：1．少数民族学生对“数学用处”和“得到教师的关注少”的认识比汉族学生低;2．四年级数学态度得分最高,五、六年级出现下降趋势;3．女生数学态度均分高于男生,但男女生的数学成绩没有差异;4．数学态度在“对教师的看法”上存在地域差异,市区学生得分优于郊区和山区学生;5．数学学习成绩好的,其数学态度得分较高。数学态度与数学学习成绩是双向影响的,这在民族地区的数学教学中应给予充分重视． 相似文献
9.
Joakim Samuelsson 《Education and Information Technologies》2006,11(1):71-81
There is a common assumption that computers will change the conditions for mathematics teaching. In this article the author
discusses how the computer as a change-agent may influence the conditions, methods and results in everyday mathematics teaching.
The empirical material is collected through interviews with eighteen teachers in lower secondary school. The author has also
participated in all computer-aided lessons given by two teachers during one year. That means 700 possible computer-aided lessons.
Teaching of mathematics seems to have such a strong tradition that the computer as a change-agent is relatively weak. The
fact is that the computer is assimilated into an old tradition of methods and contents. A great deal of the computer-aided
lessons give attention to drilling pupils with different types of drill-program where they can learn mathematical procedures.
In some lessons laborative work is pursued with the intention that the pupils computer-aided learn mathematical concepts. 相似文献
10.
Amy E. Ryken 《Journal of Mathematics Teacher Education》2009,12(5):347-364
This documentary account situates teacher educator, prospective teacher, and elementary students’ mathematical thinking in
relation to one another, demonstrating shared challenges to learning mathematics. It highlights an important mathematics reasoning
skill—creating and analyzing representations. The author examines responses of prospective teachers to a visual representation
task and, in turn, their examination of school children’s responses to mathematical tasks. The analysis revealed the initial
tendency of prospective teachers to create pictorial representations and highlights the importance of looking beyond the pictures
created to how prospective teachers use mathematical models. In addition, the challenges prospective teachers face in moving
beyond a ruled-based conception of mathematics and a right/wrong framework for assessing student work are documented. Findings
suggest that analyzing representations helps prospective teachers (and teacher educators) rethink their teaching practices
by engaging with a culture of teaching focused on reading for multiple meanings and posing questions about student thinking
and curriculum materials. 相似文献
11.
Onno De Jong Maija Ahtee Alan Goodwin Vassilia Hatzinikita Vasilis Koulaidis 《欧洲师范教育杂志》1999,22(1):45-59
An important task of science teachers should be to take pupils’ (pre)conceptions and learning difficulties into account and to negotiate about the meanings of specific concepts. In this context, teachers’ pedagogical content knowledge plays an important role. This article presents an international study of Dutch, Finnish, English and Greek pre-service teachers’ conceptions and concerns of how to teach the concept of combustion. The prospective science teachers were invited to prepare a lesson about this concept for pupils of junior secondary school level. The prospective teachers were not allowed to consult any textbook. Research data were obtained from audio-taped semi-structured interviews with the prospective teachers. In addition, their written lesson plans and their answers to an accompanying questionnaire were collected and analysed. The results reveal a number of important characteristics of prospective teachers’ views and concerns regarding the teaching of combustion. The implications of the study for science teacher education will be presented. 相似文献
12.
13.
Adapting Reform Ideas in Different Mathematics Classrooms: Beliefs Beyond Mathematics 总被引：1，自引：0，他引：1
Paola Sztajn 《Journal of Mathematics Teacher Education》2003,6(1):53-75
The goals of this study are to understandelementary school teachers' beliefs andpractices and to unveil factors that influencethe way teachers adapt mathematics reformrhetoric when trying to adopt it. In theresearch, I searched for beliefs beyondmathematics that influence teachers' decisionsand choices for teaching mathematics. Workingwith children from different socioeconomicbackgrounds, teachers interpret reform indifferent ways. Based on their concept of students' needs, teachers select which partsof the reform documents are appropriate fortheir students. While children from uppersocioeconomic backgrounds experience problemsolving, those from lower socioeconomicbackgrounds undergo rote learning. Because notall children have the opportunity to learn thesame quality mathematics, the emerging concernof this study is the issue of equity inmathematics teaching. 相似文献
14.
Learning to Teach with Mathematics Textbooks: How Preservice Teachers Interpret and Use Curriculum Materials 总被引：2，自引：0，他引：2
This study investigates how four prospective teachers interpret and use textbooks while learning to teach mathematics during university coursework and practicum teaching. Results indicate that prospective teachers had varied approaches to using textbooks ranging from adherence, elaboration, and creation. Factors influencing how they engaged with texts include their practicum classroom setting, access to resources, and their understanding of mathematics. Preservice teachers' attempts to modify textbook lessons raised pedagogical, curricular, and mathematical questions for them that were not easily answered by reference to the textbooks or teacher's guides. Findings indicate that the practicum can, however, challenge preservice teachers to be creative and flexible users of curriculum materials. 相似文献
15.
Kathleen Jablon Stoehr 《Journal of Mathematics Teacher Education》2017,20(2):119-139
Mathematics education researchers have investigated mathematics anxiety in prospective elementary teachers. While many of these studies have focused on the bodily sensations and emotions of mathematics anxiety, particularly those felt in assessment situations, opportunities remain to investigate how prospective elementary teachers interpret their experiences with mathematics anxiety and connect them over time to compose personal histories of mathematics anxiety. Currently, over 90 % of elementary teachers in US schools are women, and women have been shown to suffer more from mathematics anxiety than do men. In this article, I analyze how one woman prospective elementary teacher described, explained, and related her experiences of mathematics anxiety across her personal narratives of learning mathematics as a K-12 student and of learning to teach mathematics as a college student in a teacher preparation program. My research demonstrates that experiences of mathematics anxiety may persist beyond assessment situations to influence women prospective elementary teachers’ larger mathematical histories. I also show that women prospective elementary teachers may interpret mathematics anxiety as specific fears (e.g., loss of opportunities for social participation) and may develop particular coping strategies related to those fears. Finally, I point out that while a coping strategy may be used consistently across K-12 mathematics learning and undergraduate teacher preparation, and may even offer a woman prospective elementary teacher some relief from mathematics anxiety, it may also limit her mathematics learning and professional development. To conclude, I present implications of my research for mathematics teacher educators. 相似文献
16.
A shift in mathematics education in the Netherlands towards the so-called realistic approach made it necessary to prepare prospective teachers for a type of curriculum different from what they experienced as pupils. This article describes the characteristics of a preservice programme aiming at this goal and presents an analysis of the development of the student teachers' views of mathematics and mathematics education during the programme as well as their classroom behaviour. This analysis is based on two research studies. The first was a longitudinal study in which the student teachers were followed during
years by means of questionnaires and interviews. The second was a study in which graduates from this programme were compared with graduates from a more traditional preparation programme by means of two teacher questionnaires and a pupil questionnaire, the latter measuring the pupils' perceptions of the actual teaching behaviour of the graduates. The teacher education programme appeared to be successful in changing the student teachers' views of mathematics education, especially in the direction of a more inquiry oriented approach, and in promoting effective teacher behaviour in the classroom. As far as their facilitating role as a teacher is concerned, the student teachers seemed to go through a two-stage learning process. Most of them reached the first stage, in which they realize that pupils have different preferences for learning and that a variety of possible explanations for problems should be offered. However, only a small number of student teachers seem to reach the second stage, in which they recognize the principle of building on pupils' own constructions, an important feature of realistic mathematics education. Possible explanations for the low impact of the programme, as well as solutions are discussed. 相似文献
17.
18.
We believe that professional mathematicians who teach undergraduate mathematics courses to prospective teachers play an important role in the education of secondary school mathematics teachers. Thus, we explored the views of research mathematicians on the mathematics that should be taught to prospective mathematics teachers, on how the courses they teach can serve teachers in their work with school students, and on the changes they would implement if their courses were designed specifically for prospective teachers. We constructed profiles of the four mathematicians based on their responses to a clinical interview. We employed the construct of mathematics teacher-educators’ triad in the reflective analysis of our findings and extended the construct based on the results of this study. In conclusion, we commented on potential ways to draw stronger connections between university mathematics and the mathematics taught in schools. 相似文献
19.
Mustafa Do?an 《Journal of Mathematics Teacher Education》2012,15(4):329-341
The use of computers and technology in mathematics education affects students’ learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers’ views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two different universities in Turkey. Data consisting of participants’ written responses were qualitatively analyzed and categorized according to TPACK. Results show that the prospective teachers’ views about computers and their use in mathematics are usually positive. They enjoy working with computers, even though they are only able to perform relatively minor calculations with computers. They stated that improved use of computers can help them to learn and teach mathematics more effectively. However, they did not feel confident about their ability to teach mathematics using computers. 相似文献
20.
Linda Darby-Hobbs 《Research in Science Education》2013,43(1):77-97
There has been a recent push to reframe curriculum and pedagogy in ways that make school more meaningful and relevant to students’ lives and perceived needs. This ‘relevance imperative’ is evident in contemporary rhetoric surrounding quality education, and particularly in relation to the junior secondary years where student disengagement with schooling continues to abate. This paper explores how teachers translate this imperative into their mathematics and science teaching. Interview data and critical incidents from classroom practice are used to explore how six teachers attempted to make the subject matter meaningful for their students. Four ‘Categories of Meaning Making’ emerged, highlighting key differences in how the nature of science and mathematics content constrained or enabled linkages between content and students’ lifeworlds. While the teachers demonstrated a commitment to humanising the subject at some level, this analysis has shown that expecting teachers to make the curriculum relevant is not unproblematic because the meaning of relevance as a construct is complex, subject-specific, and embedded in understanding the human dimensions of learning, using, and identifying with, content. Through an examination of the construct of relevance and a humanistic turn in mathematics and science literature I argue for an expanded notion of relevance. 相似文献