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1.
教师专业发展必然需要教师专业知识的有力支撑。对高中数学教师专业知识进行的问卷调查和访谈发现：目前高中数学教师基本上较好地掌握了常用的教师专业知识,但也存在一些问题：对数学学科知识的关注范围过于狭窄;运用数学教学知识进行教学时偏向于被动;对数学课程标准的理解存在偏差。另外,研究还发现：数学教学知识的增长并非是持续的;不同层级的教师之间、不同类别学校中的教师之间,其差异主要体现在数学学科知识与数学教学知识。进而对数学教师教育提出相应建议：数学教师应适当拓展数学学科知识的关注范围;应依据调查数据加强数学教师教育培养计划的针对性;关于教师一般教育学知识的评价方式亟需改进等。 相似文献
2.
Suat Khoh Lim-Teo Kwee Gek Chua Wai Kwong Cheang Joseph K. Yeo 《International Journal of Science and Mathematics Education》2007,5(2):237-261
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
3.
4.
32名小学数学教师与这些教师所教班级的1691名学生参与了本研究。两个测量工具评价了教师的数学学科知识与学科教学知识,对教师的55节数学课进行了录像,并按照学习任务的认知水平与课堂对话的特点进行了编码,同时测查了学生的期末数学学习成绩。多水平分析结果表明:教师的学科教学知识、课堂学习任务的认知水平、课堂对话中教师提问问题的类型与对话的权威来源对学生的数学成绩具有显著的预测作用;而教师的学科知识对学生数学成绩的影响未达到显著性水平。 相似文献
5.
通过对174名小学数学专家教师和307名小学数学普通教师的教师专业知识进行测查,研究者发现,总的来说,我国的小学数学教师在数学史、数学思想等方面的知识较差;小学数学教师的PCK总体水平较低,具体地说,教师缺乏“有关学习者”的知识,大部分小学数学教师缺乏探究的意识和解决开放性问题的能力;专家教师和普通教师在教师专业知识的几个大维度上有显著的差异。基于这个研究结果,研究者提出在小学数学教师培训课程中应该补充数学文化思想史方面的内容,鼓励教师参与学生数学学习方面的研究,提升教师的探究意识和问题解决能力,并形成优势互补、分层设计的教师培训课程模式。 相似文献
6.
In this study we investigate a strategy for engaging high school mathematics teachers in an initial examination of their teaching in a way that is non-threatening and at the same time effectively supports the development
of teachers’ pedagogical content knowledge [Shulman (1986). Educational Researcher, 15(2), 4–14]. Based on the work undertaken by the QUASAR project with middle school mathematics teachers, we engaged a group
of seven high school mathematics teachers in learning about the Levels of Cognitive Demand, a set of criteria that can be
used to examine mathematical tasks critically. Using qualitative methods of data collection and analysis, we sought to understand
how focusing the teachers on critically examining mathematical tasks influenced their thinking about the nature of mathematical
tasks as well as their choice of tasks to use in their classrooms. Our research indicates that the teachers showed growth
in the ways that they consider tasks, and that some of the teachers changed their patterns of task choice. Further, this study
provides a new research instrument for measuring teachers’ growth in pedagogical content knowledge.
An earlier version of this paper was presented at the American Educational Research Association Annual Meeting, New Orleans,
LA, April 2002. 相似文献
7.
The Pedagogical Content Knowledge of Middle School, Mathematics Teachers in China and the U.S. 总被引：2，自引：1，他引：2
This study compared the pedagogical contentknowledge of mathematics in U.S. and Chinesemiddle schools. The results of thiscomparative study indicated that mathematicsteachers' pedagogical content knowledge in thetwo countries differs markedly, which has adeep impact on teaching practice. The Chineseteachers emphasized developing procedural andconceptual knowledge through reliance ontraditional, more rigid practices, which haveproven their value for teaching mathematicscontent. The United States teachers emphasizeda variety of activities designed to promotecreativity and inquiry in attempting to developstudents' understanding of mathematicalconcepts. Both approaches have benefits andlimitations. The practices of teachers in eachcountry may be partially adapted to helpovercome deficiencies in the other. 相似文献
8.
This study examined the similarities and differences in experienced secondary science teachers' planning, teaching, and reflecting on their teaching, when teaching in their science area of certification and when teaching in another science area. The study also focused on the influence of these teachers' content knowledge, pedagogical knowledge, and pedagogical content knowledge on their planning, teaching, and reflecting. Experienced teachers were observed and interviewed while teaching classes in their science area of certification, and in another science area they were teaching for the first or second time. Both similarities and differences in teaching were found in the two areas for all three teachers. For example, their planning and postlesson reflections were similar in both areas. In the interactive phase of teaching more differences were observed. Many aspects of their teaching resembled that of expert teachers in other studies. In the unfamiliar science area, the teachers sometimes acted like novice teachers. However, they were able to draw upon their pedagogical knowledge to provide a framework for their teaching in both science areas. Their wealth of pedagogical knowledge, and pedagogical content knowledge for general science topics, seemed to sustain them in whatever content they were teaching. Recommendations for further study and implications for teacher education are discussed. 相似文献
9.
This research traced changes in choices of technological tools and attitudes toward technology use among novice mathematics teachers at three stages of their professional development: as pre-service teachers, a year later, and in their work as novice teachers. At each stage, the participants were required to evaluate the benefits of technology use in their learning/teaching.
We found that the novice mathematics teachers used a variety of technological tools, while as students they preferred to use digital presentations or dynamic software. Moreover, the novice teachers used two additional tools: the school platform and the WhatsApp instant messaging application. The novice teachers placed significantly higher value on the benefits of using technology in teaching in terms of improvement in learning, enhancement of pupils' motivation and increased effectiveness of the lesson. These results indicated that only as practical teachers were the participants able to see the benefits of technology. 相似文献
10.
In an expertise study with 94 mathematics teachers varying in their relative teacher expertise (i.e., student teachers, trainee teachers, in-service teachers), we examined effects of teachers' professional knowledge and motivational beliefs on their ability to integrate technology within a lesson plan scenario. Therefore, we assessed teachers' professional knowledge (i.e., content knowledge, pedagogical content knowledge, technological knowledge), and their motivational beliefs (i.e., self-efficacy, utility-value). Furthermore, teachers were asked to develop a lesson plan for introducing the Pythagorean theorem to secondary students. Lesson plans by advanced teachers (i.e., trainee teachers, in-service teachers) comprised higher levels of instructional quality and technology exploitation than the ones of novice teachers (i.e., pre-service teachers). The effect of expertise was mediated by teachers' perceived utility-value of educational technology, but not by their professional knowledge. These findings suggest that teachers’ motivational beliefs play a crucial role for effectively applying technology in mathematics instruction. 相似文献
11.
Although research suggests that many pre-service mathematics education programmes are weak interventions having a negligible effect on student teachers’ knowledge, beliefs and attitudes, there is consensus that programmes that model and engage student teachers in reform teaching and learning approaches have the potential to effect positive change in attitudes and knowledge of mathematics. This paper focuses on the perceptions of 345 student teachers regarding their mathematics education programme. The authors consider that in order to further our understanding of the characteristics of an effective pre-service mathematics education programme, the opinions of participating student teachers are fundamental. Participants reported improved mathematical subject matter knowledge and pedagogical content knowledge in addition to greater confidence and decreased anxiety towards mathematics. Programme features such as small group tutorials and interactive engagement were identified as impacting this positive change. 相似文献
12.
Voutsina Chronoula Alderton Julie Wilson Kirsty Ineson Gwen Donaldson Gina Rowland Tim 《Journal of Mathematics Teacher Education》2022,25(2):191-215
In this paper, we report an enquiry into elementary preservice teachers’ learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen preservice teachers at two universities focused on their expressed awareness of their approach to the mathematical activity. Preservice teachers’ prospective planning and post-teaching evaluations of similar activities in their classrooms were also examined. We draw on aspects of enactivism and the notion of reflective “spection” in the context of teacher learning, tracing threads between preservice teachers’ retro-spection of learning and pro-spection of teaching. Our analysis indicates that increasing sensitivity to their own embodied processes of generalisation offers opportunities for novice teachers to respond deliberately, rather than to react impulsively, to different pedagogical possibilities. The paper contributes a new dimension to the discussion about the focus of novice elementary school teachers’ retrospective reflection by examining how deliberate retrospective analysis of doing mathematics, and not only of teaching actions, can develop awarenesses that underlie the growth of expertise in mathematics teaching. We argue that engaging preservice teachers in mathematics to support deliberate retrospective analysis of their mathematics learning and prospective consideration of the implications for teaching can enable more critical pedagogical choices.
相似文献13.
Knowing and teaching fractions: A cross-cultural study of American and Chinese mathematics teachers 总被引：1，自引：0，他引：1
Guided by Shulman, 1986 and Shulman, 1987 tripartate model of teacher expertise (subject matter knowledge (SMK), pedagogical content knowledge (PCK), and general pedagogical knowledge (GPK)), the present study examined 162 U.S. and Chinese 3rd grade mathematics teachers’ expertise in teaching fractions. Results show that U.S. teachers lag significantly behind Chinese teachers in SMK (concepts, computations, and word problems) and in some areas of PCK (e.g., such as identifying important points of teaching the fraction concepts and how to ensure students’ understanding). Although the Chinese teachers performed poorly in comparison to their U.S. counterparts on a test designed to measure GPK (e.g., psychological and educational theories and applications), its poor reliability calls these results into question. The implications of this study are discussed in terms of practical ideas for teacher training in the U.S. and China. 相似文献
14.
学科教学知识是教师个体在教学实际情境中通过与情境的互动而建构的产物。大学数学教师可以通过教学法加工、教学反思和学习共同体合作方式建构并不断完善自身的学科教学知识。 相似文献
15.
Olivia Fitzmaurice Niamh O’Meara Patrick Johnson Sean Lacey 《Asia-Pacific Journal of Teacher Education》2019,47(4):361-382
This paper reports on an exploratory study designed to determine and enhance the conceptual understanding of a group of pre-service mathematics teachers at one Irish university utilizing an established framework for understanding mathematics. 23 students on a one year Professional Diploma in Mathematics Education participated in the study, which involved the distribution of a pre- and post-test and engagement in a ten week intervention designed to enhance their subject matter knowledge (SMK) and pedagogical content knowledge (PCK). The findings highlight that although there was an improvement in overall conceptual understanding across the entire cohort at the end of the intervention, within certain mathematical topics there was a statistically insignificant improvement and many deep-rooted issues remain. In this paper we focus on the pre-service teachers’ understanding of elementary algebra, in particular, how to solve a linear equation. 相似文献
16.
This ethnographic research study investigated three elementary teachers’ perceived self-efficacy beliefs and their attitudes toward mobile technology-enhanced instruction. Using technological pedagogical content knowledge (TPACK) as a guiding theory, the authors sought to determine whether and how the three knowledge components that form the foundation of the TPACK framework– technological, pedagogical or content knowledge – have similar levels of influence on teachers’ language arts teaching practices. They also examined how each teacher incorporated iPad technologically enhanced pedagogical practices and made connections to their beliefs about the role of technology and education. Data collection consisted of classroom observation field notes, teacher interviews and teacher blogs. Findings reveal that the teachers’ attitudes toward the integration of iPad technology formed a basis for how they approached their pedagogy. Compared to their technological and content knowledge, teachers’ pedagogical knowledge and years of teaching experience strongly influenced their decisions regarding mobile technology integration. By the end of the study, all teachers identified stronger connections and awareness in relation to the components of TPACK. The implications of these findings will provide insight relevant to the development of professional development opportunities for teachers regarding TPACK that could ultimately lead to more successful technology integration by teachers. 相似文献
17.
This study explored Israeli elementary school mathematics teachers’ perceptions of their professional needs, with the purpose of developing in-service training courses which cater to these needs. Eighty-four teachers responded to the questionnaire and were interviewed. The results indicate that the respondents’ main needs are associated with strengthening their didactical knowledge capability of dealing with emotional aspects that relate to pupils’ learning of mathematics. Although most of the respondents lack formal mathematics education, they attribute less importance to their need to enhance knowledge in the field. In light of Israeli pupils’ relatively low attainments in mathematics, the authors believe that the education system should require teachers to expand their mathematics knowledge and that only teachers with appropriate knowledge will be permitted to teach the discipline. 相似文献
18.
Hanna Palmér 《Teacher Development》2016,20(5):682-700
The results presented in this article are taken from a case study of novice primary school mathematics teachers’ professional identity development from the perspective of the teachers themselves. The empirical material was collected through self-recordings, observations and interviews. The results show how the professional identity development of these novice teachers becomes a pursuit in line with their image of a primary school teacher. To develop a sense of themselves as primary school teachers they need to establish their own criteria - individual (including graduation and personal knowledge) and social (the ability to work in one school, have colleagues and have a class of their own for which they do the planning and teaching). These criteria are shown to be both a precondition for and a part of professional identity development. The novice teachers’ image of what it means to be a primary school teacher directs their actions and becomes the goal of their professional identity development. Because of its high impact, student and novice teachers’ image of primary school teachers ought to be made visible in both teacher education and teacher induction. 相似文献
19.
Joseph Slattery 《Irish Educational Studies》2014,33(4):467-488
This paper reports on an investigation into the conceptual knowledge, through the domain of fraction division, of prospective secondary mathematics teachers in their final/fourth year of undergraduate initial teacher education. The aim of the study is to assess if levels of conceptual knowledge in this domain are sufficient in order for these prospective teachers to teach for understanding. Some impact of conceptual understanding on teaching approaches is also explored. The content of the teacher education program and its suitability for preparing prospective mathematics teachers is also considered. The results indicate that in spite of four years of mathematics teacher education, these prospective mathematics teachers hold a fragmented and limited conceptual understanding of dividing fractions. To address this issue and to ensure the effective implementation of Project Maths, it is argued that initial teacher education programs need to be revised to include an emphasis on school mathematics. 相似文献
20.
Annette Hessen Bjerke Yvette Solomon 《Scandinavian Journal of Educational Research》2020,64(5):692-705
ABSTRACT Two major concerns in mathematics teacher education are the role of subject matter knowledge and the development of self-efficacy in pre-service teachers. This article brings these issues together in an exploration of the interaction between pre-service teachers’ perceptions of their subject matter knowledge and their accounts of university and placement experiences as potential sources of self-efficacy. Reporting on a group of ten pre-service teachers in Norway, we explore variations in the ways in which they perceived the role of subject knowledge in relation to experience, particularly “mastery experiences”, over a period of nearly two years. We suggest that recognition of the role of “understanding why” in mathematics is crucial in the experience of mastery, and that there is a need to focus more on the role of subject matter knowledge in all sources of self-efficacy in teaching mathematics. 相似文献