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1.
The present study aimed to explore the contribution of a mathematics in-service training course to elementary school teachers (1st–6th grades) in Israel. The study was conducted among 449 educators. They were required to respond to background questions. Moreover, they were asked to indicate their expectations from the in-service training course and, at its end, point out to what extent they benefitted from that course. The research findings illustrate that educators who teach mathematics at elementary school and attended the course are generally women in their 40s, holding a BEd degree and a teaching certificate not in mathematics, with an average 13-year seniority. The participating teachers indicated their wish to enrich their didactic knowledge in order to acquire varied tools for teaching mathematics to the entire pupil population as well as to gifted pupils and pupils with learning difficulties. Nevertheless, their demand to expand their mathematics knowledge was very limited. Based on the fact that most teachers have no mathematics education, this is a surprising finding as, in order to be a good teacher, one must be versed not only in Pedagogical Content Knowledge but also in Subject Matter Knowledge.  相似文献   

2.
In this study the effect of teacher behaviours and classroom organisation on pupils' progress in mathematics was studied in years 1, 3 and 5 of primary schools in the UK participating in a mathematics intervention programme. Data on a total of 78 teachers and 2,128 pupils was collected. Teacher behaviours were measured using a classroom observation instrument developed for the project, and pupils were tested in March and July of 1998 using a curriculum-appropriate Numeracy test developed by the National Foundation for Educational Research. Background data on pupils was also collected at both testing occasions. Using multilevel modelling techniques it was found that teacher behaviours were able to explain between 60% and 100% of pupils' progress on the Numeracy tests. Amount of time spent teaching the whole class was not related directly to pupils' progress, but structural equation models were tested in which time spent teaching the whole class was found to be related to effective teaching behaviours and thus indirectly to pupil progress. The implications of the study for British educational policies and for educational research more generally are discussed.  相似文献   

3.
This article reports the findings of a case study which examined a pull-out strategy for provision for mathematically able children in a primary school in London. The research investigated how the needs of a group of pupils, identified as able mathematicians, were being met through a special small group that works outside the regular mathematics lessons. Based on the observations of the lessons and the semi-structured interviews with both the pupils and their teacher, this article presents some interesting and useful ways for teaching mathematics to able children through small, pulled-out classes.  相似文献   

4.
As part of a large reciprocal learning partnership project between Canada and China, this study explored Canadian teachers’ perceptions of mathematics teaching in elementary schools in China. Using reciprocal learning and Activity Theory as the theoretical lens, we collected data, i.e., classroom observations, group discussion, and informal exchanges from teachers in a pair of research sister-schools in Canada and China. Qualitative data analyses revealed four themes in Canadian teachers’ perceptions of the characteristics of Chinese mathematics teaching: an active teacher-student interaction model of questioning-responding, a mathematical knowledge-package summary at the end of each lesson, integration of the history of mathematics into teaching, and the development and implementation of well-structured lessons. Contributions, implications, and limitations of the study in mathematics education and research are discussed.  相似文献   

5.
Reflective practice represents a central theme in teacher education. The focus of this study is to look at pre-service teachers’ reflection processes and their breadth and depth in four different contexts. Our research data consist of 53 pre-service teachers’ mathematics portfolios, from which three were selected for closer scrutiny. The chosen portfolios represent different reflection profiles. According to our findings, the breadth and the depth of the pre-service teachers’ reflection processes varied greatly, and their former experiences as learners of mathematics seemed to have a great impact on their reflection when teaching mathematics for the first time. However, through acquaintance with research articles, the pre-service teachers’ reflection deepened and, at the same time, seemed to broaden. The participants’ consideration of biographical contexts aided their understanding and their reflection of other contexts.  相似文献   

6.
Various educational technologies have been advanced as potential vehicles to transform teaching and learning. Still, research studies have documented that primary school teachers struggle to integrate technology in meaningful ways. This article presents the findings of a year-long study in which the author frequently observed three primary school teachers’ enactments of technology into their mathematics teaching. Each teacher was observed between 25 and 30 times during the school year. The types of technologies used as well as the types of mathematical tasks and problems that participants posed while teaching with technology were inductively analyzed. Inductive qualitative analyses indicated that participants’ technology use focused on presentation technologies such as the document camera or interactive whiteboard more than computer-based technologies or interactive activities. Further, teachers varied widely in their enacted pedagogies while integrating technology, and two participants demonstrated more frequent enactments of learner-centered pedagogies toward the end of the school year. Implications for researching teachers’ use of technology in the future are also shared.  相似文献   

7.
Effective Classroom Organisation in Primary Schools: Mathematics   总被引:1,自引:0,他引:1  
One of the greatest problems in teaching mathematics arises from the diversity of pupils' attainments. For decades, this has been managed by primary class teachers in England by adopting an approach of within-class grouping or differentiation according to attainment-level. During the last two years, however, government initiatives have increased the focus on a whole-class approach to teaching mathematics. This has led to an increase in the number of schools adopting a policy of grouping between parallel classes, or 'setting' by attainment within classes in order to contain the range of attainment in each teaching group and to make whole-class teaching a realistic possibility. Earlier research studies have outlined the benefits of grouping by attainment for subsequent learning in mathematics, especially for higher-attaining pupils; the results this article uses challenge the findings of earlier studies. Newly available data from a large-scale primary mathematics project are examined which indicate that the attainments of pupils taught in mixed-ability classes are at least equal to those of pupils in schools set by attainment.  相似文献   

8.
To support pupils’ learning, teachers must understand what and how their pupils have learned, and teacher education should teach candidates how to do this. This article reports on survey data (n = 270) from three programmes and observation data (N = 104 h) from six programmes, located in Norway, Finland and the US. It examines the candidates’ opportunities to analyse pupils’ learning within their coursework. The authors argue that such opportunities might constitute profound possibilities to examine the complexity of teaching and learning. However, the study finds that the candidates have few opportunities to analyse pupils learning and that the full potential of these opportunities is unrealized. The authors argue for increased, specific attention to pupils’ learning within teacher education coursework, through a pedagogy of teacher education informed by existing research on how to elicit pupils’ learning.  相似文献   

9.
Mathematics pedagogical content knowledge (MPCK) of teachers cannot be easily defined but is a complex concept integrating generic pedagogical knowledge, mathematics teaching methodology as well as knowledge of the discipline of mathematics. It is the objective of mathematics methodology courses in teacher preparation programmes to begin the development of MPCK in their pre-service teachers. As part of a research study on the development of MPCK in primary school beginning teachers, a 16-item instrument was developed to measure some aspects of the MPCK for teaching mathematics at primary level. The instrument was administered to the 2003 Intake of the Diploma in Education student teachers at the National Institute of Education, Singapore just at the beginning of their programme. As they completed their methodology course in February 2005, the instrument was administered again. This paper will discuss the findings concerning their performance in these two tests, with reference to the overall performance as well as topic-specific and MPCK construct-specific performance. The findings indicate that student teachers at the beginning of their programmes are generally quite weak in their mathematics pedagogical content knowledge, as might be expected. There was significant improvement in some aspects of their MPCK on completion of their mathematics pedagogy course.  相似文献   

10.
学生的数学信念与其数学学习有着密切的关系.因此,探讨小学生的数学观问题是十分必要的.多数学生认为数学是有趣味性的,但随着年级的升高,兴趣却呈下降趋势;数学的难易程度直接影响学生对学习数学的兴趣;许多学生看重的是数学的实用性;多数学生对数学本质的认识还很模糊,这主要是受教师课堂教学的影响.  相似文献   

11.
This paper examines a problem described as widespread and long-standing in mathematics education: supporting pupils into multiplicative reasoning, a form of reasoning that has been noted as central to large tracts of secondary mathematics and beyond. Also noted, however, is a persistent perception of multiplicative situations only in terms of repeated addition – a perception held not only primary pupils, but also among primary teachers and curriculum developers. The focus of this paper is to synthesize literature on multiplicative reasoning as a conceptual field together with a sociocultural discussion of the role of mediating artifacts in the development of this conceptual field. Bringing MR into the primary classroom can then be achieved, I propose, through a pedagogy oriented toward model-eliciting and teacher appropriation of pupils’ models as pedagogic tools with the subsequent re-appropriation of refined models by pupils. This pedagogy is illustrated through the analysis of two vignettes from a teaching experiment which demonstrate the beginnings of MR as an emergent conceptual field in the classroom. The paper concludes that it is possible to move primary teaching and learning toward understanding the functional aspects of multiplicative reasoning, but that any such moves requires attention to teachers’ pedagogic and content knowledge.  相似文献   

12.
In China, preschool curriculum has undergone reform and profound changes. Much remains unknown, however, regarding preschool teachers’ teaching beliefs after 30 years of curriculum reform and adaptation. This study aimed to address the issue and investigate teachers’ beliefs concerning teaching mathematics. Twelve preschool teachers in China participated in the study: they watched videos of mathematics lessons conducted in the US and were interviewed with questions regarding the lessons. Qualitative analysis was then applied; themes were searched from the participants’ responses. The study revealed that Chinese preschool teachers acknowledged the features of (a) active learning, (b) involving every child, and (c) connecting lessons with everyday activities. However, they believed that their own teaching would be more purposeful: they would choose a specific content focus, use a series of steps, and make explicit summary at the end. The study also revealed Chinese preschool teachers’ solid specialized content knowledge in mathematics.  相似文献   

13.
14.
教师教育中数学知识的获得是影响职前小学教师数学知识的主要因素之一,以我国上海师范大学和美国纽约城市大学小学教育专业本科培养的数学课程计划为个案,从数学内容类课程和数学方法类课程两方面研究发现,两国职前小学教师教育中各数学课程在学分要求、教学目标、教学内容和教学方法等方面存在差异。美国职前小学教师本科培养的经验,对我国职前小学教育专业本科培养的数学课程设置与实施应该如何加强联系小学数学课程与教学实际具有一定借鉴。  相似文献   

15.
高师计算机课与中学数学新课程整合的探究   总被引:1,自引:0,他引:1  
在高师数学系计算机课中整合中学数学新课程,以在职和职前教师能胜任中学数学新课程的教学为研究出发点,选用中学数学新课程充实深化重组计算机课程内容,实施计算机支持的协作学习的六个步骤:教师创设情境和提出问题、教师分析问题和明确方法、学生自主探索和寻求解答、小组协作学习和解决问题、师生总结和评价成果及教学反思,培养学生基于信息技术平台更有效地学数学与教数学的能力,提升他们的信息素养和数学素养.  相似文献   

16.
The quality of mathematics teaching in Lesotho primary education remains one of the vexing problems in the education system. The study investigated how teachers viewed the impact of instruction on enhancing their knowledge of teaching. Data for the study were elicited from the second-year students enrolled for a Bachelor of Education in the 2009/10 academic year at the National University of Lesotho. Questionnaires and interviews were used for data collection. The findings show that before instruction, the teachers operated with limited knowledge of teaching. At the end of the course the teachers’ knowledge of teaching was enhanced. Significant change was apportioned to engaging in reflection and teaching for relational understanding. Implications of the findings for the course, teacher education and professional development are also discussed.  相似文献   

17.
This article discusses findings from an investigation into 42 prospective elementary teachers' views of mathematics teaching and learning. The focus is on how the participants saw the roles of teachers, pupils,and mathematics in mathematics classes as they communicated their views in journals written during the study. I argue that some prospective teachers express a tendency to protect and relieve their future pupils from mathematics. I show how this tendency affects a shift from school being the place where teachers teach pupils toward a conception of a safe space where the teachers predominantly care for the children. This revised version was published online in September 2006 with corrections to the Cover Date.  相似文献   

18.
This study presents a qualitative research based on three narratives written by novice mathematics teachers. We examine their unique professional world during their first year of work. The methodology of narrative framework, on which this article is based, helps to gain better understanding of the need for novice mathematics teachers to have pedagogical knowledge. Findings reveal three themes of pedagogical knowledge: the attitude of novice teachers toward students with difficulties in mathematics; parents’ expectations of and involvement with novice mathematics teachers; teacher–student relations. The implications of the findings show that novice mathematics teachers are required to have not only content knowledge of mathematics but also, and above all, pedagogical knowledge. The implications of this study enable reassessment of emphases required in training mathematics teachers, as well as the assistance and support they need, especially as they launch their careers.  相似文献   

19.
This article contributes to the discussion on mathematics teacher reflection. Reflection was included in a study of the didactisation practices of primary school mathematics teachers as one of nine didactisation practices. The study involved five volunteer primary school mathematics teachers. A qualitative design-research approach was designed which employed model-eliciting tasks to create new experiences for teachers. This article reports on the nature and development of mathematics teacher reflection. Teacher reflection was gauged at various times during the programme through written responses to open-ended reflective questionnaires. Teachers were involved in three types of sessions for a period of one year: 1) modelling sessions whereby they collaboratively solved a mathematical modelling task; 2) observing primary school students/learners solve the same problems; and 3) sessions discussing traditional and problem-centred teaching and learning. It was found that modelling tasks provided reflective platforms and a window to teacher resources, orientations and goals. It is recommended that further research into mathematics teacher reflection be conducted where teachers specifically implement modelling in their own classrooms.  相似文献   

20.
This article reports results derived from the national study of Grade 5 in Vietnamese primary schools in which teachers and pupils took tests in reading and mathematics. The test data were calibrated so that teacher and pupil results could be mapped onto the same continuum. Results showed that the overlapping tests for teachers and pupils were appropriate for the pupils and easy for the teachers. Fit to the Rasch model indicated that the sets of items in both the reading and mathematics tests were each measuring a single domain. Teacher performances were predictably higher than those of the pupils. But there was a considerable overlap in scaled scores indicating that many Grade 5 pupils were out-performing a sub- sample of teachers. Of great concern were the analyses of aggregated results at provincial level. It was clear that the distribution of teacher competence in reading and mathematics was related to location of the provinces, and alarmingly so too was the distribution of pupil competence. The relationship between teacher and pupil competence was linear and indicated that pupil chances of improved learning were strongly linked to the competence of the teacher.  相似文献   

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