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1.
Shulman (1986, 1987) coined the term pedagogical content knowledge (PCK) to address what at that time had become increasingly evident—that content knowledge itself was not sufficient for teachers
to be successful. Throughout the past two decades, researchers within the field of mathematics teacher education have been
expanding the notion of PCK and developing more fine-grained conceptualizations of this knowledge for teaching mathematics.
One such conceptualization that shows promise is mathematical knowledge for teaching—mathematical knowledge that is specifically useful in teaching mathematics. While mathematical knowledge for teaching has
started to gain attention as an important concept in the mathematics teacher education research community, there is limited
understanding of what it is, how one might recognize it, and how it might develop in the minds of teachers. In this article,
we propose a framework for studying the development of mathematical knowledge for teaching that is grounded in research in
both mathematics education and the learning sciences.
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| Jason SilvermanEmail: |
2.
Gavin Ward 《Education 3-13》2013,41(6):562-585
A detailed insight into how the current educational climate influences the pedagogical decisions made by primary school teachers when teaching games is limited. Studies examining the pedagogical content knowledge (PCK) of teachers within physical education have revealed its close relationship with specific forms of subject knowledge. In recognition of this, Veal and MaKinster's framework of general, domain and topic-specific PCK was employed to examine 12 primary school teachers' PCK of games. It was concluded that when personal experiences of pedagogy and content knowledge are unchallenged and reinforced by teachers' training and continuing professional development (CPD) programmes, very narrow topic-specific PCK results. This PCK was characterised bythe inseparable paring of constricted pedagogical strategies and limited content knowledge. When teachers do not integrate this very narrow topic-specific PCK with other types of PCK, it has significant repercussions upon the planned curriculum and learning experiences offered to pupils. 相似文献
3.
This study identifies proficiency levels in pre-service physics teachers' pedagogical content knowledge (PCK) and reveals how teacher education can promote transitions into higher proficiency. Teacher education plays a fundamental role in supporting pre-service teachers' PCK development. Proficiency levels are a powerful source when evaluating this PCK development because they characterize what learners are likely to be able to know on a specific level. Previous research has presented a model of proficiency levels in pre-service physics teachers' PCK; however, evidence for the model's validity is still lacking. According to the Refined Consensus Model of PCK, factors such as teachers' content knowledge (CK), their teaching experience, and their beliefs about teaching and learning science promote PCK development. Thus, understanding how and when pre-service physics teachers' CK, teaching experience, and beliefs contribute to their proficiency can bring insights into how teacher education can promote PCK development. To address this issue, N = 427 observations of pre-service physics teachers were analyzed. Utilizing the scale anchoring procedure, four different proficiency levels in pre-service physics teachers' PCK were identified. Analyzing these proficiency levels showed that lower levels can be characterized as remembering content-unspecific knowledge, whereas higher levels encompass content-specific strategies to structure and elaborate lessons. Additionally, logistic regression models revealed that pre-service physics teachers' CK is crucial for an increase in PCK proficiency. However, transitions into higher levels of PCK additionally require teaching experience and adequate beliefs about teaching and learning. Thus, our proficiency levels can be used to bring insights into how proficiency in PCK can be supported during teacher education. For example, teacher education should provide courses focusing on the science curriculum and the assessment of student learning to promote pre-service physics teachers' progression in PCK. 相似文献
4.
The notion of pedagogical content knowledge (PCK) was posited in the context of school teaching and the knowledge used by teachers teaching school students. It has been examined for a number of discipline areas, notably mathematics. There are, however, other teaching contexts, including those of teacher educators, whose students are pre-service teachers (PSTs). The content these teacher educators teach is not subject discipline knowledge (or not solely), but the PCK for teaching a subject discipline. What knowledge do teacher educators use as they teach PCK? This paper presents a framework for the PCK required of mathematics teacher educators as they work to develop PSTs’ PCK for teaching mathematics. The framework builds on existing research into PCK and categorises aspects of the work of teacher education. The framework’s usefulness is examined by studying the PCK used by the first author in building PSTs’ understanding of mathematics teacher PCK. 相似文献
5.
In this study, five elementary teachers and a university researcher developed and implemented problem‐based learning (PBL) experiences in the context of science teaching and learning. Collaborative inquiry was adopted as a methodology, while a variety of qualitative methods were used to examine the engagement and development of teachers’ pedagogical content knowledge (PCK). A PCK model is used as a framework to examine teachers’ professional knowledge growth in areas such as orientations to teaching science, knowledge of science curriculum, knowledge of students’ understanding of science, knowledge of assessment, and knowledge of instructional strategies. Implications for how teachers may be supported when adopting instructional innovations are discussed. 相似文献
6.
Current reform-driven mathematics documents stress the need for teachers to provide learning environments in which students
will be challenged to engage with mathematics concepts and extend their understandings in meaningful ways (e.g., National
Council of Teachers of Mathematics, 2000, Curriculum and evaluation standards for school mathematics. Reston, VA: The Council). The type of rich learning contexts that are envisaged by such reforms are predicated on a number
of factors, not the least of which is the quality of teachers’ experience and knowledge in the domain of mathematics. Although
the study of teacher knowledge has received considerable attention, there is less information about the teachers’ content
knowledge that impacts on classroom practice. Ball (2000, Journal of Teacher Education, 51(3), 241–247) suggested that teachers’ need to ‘deconstruct’ their content knowledge into more visible forms that would
help children make connections with their previous understandings and experiences. The documenting of teachers’ content knowledge
for teaching has received little attention in debates about teacher knowledge. In particular, there is limited information
about how we might go about systematically characterising the key dimensions of quality of teachers’ mathematics knowledge
for teaching and connections among these dimensions. In this paper we describe a framework for describing and analysing the
quality of teachers’ content knowledge for teaching in one area within the domain of geometry. An example of use of this framework
is then developed for the case of two teachers’ knowledge of the concept ‘square’. 相似文献
7.
In comparing content knowledge (CK) and pedagogical content knowledge (PCK) of Taiwanese and German inservice mathematics teachers, the present study examines whether the two-dimensional structure of teachers' subject matter knowledge is cross-culturally invariant and whether differences in teacher education and in teacher selection are reflected in teachers' subject matter knowledge. The results confirm that CK and PCK represent two distinct, but correlated dimensions, even in teachers from completely different backgrounds. Taiwanese inservice teachers showed considerably higher CK and also higher PCK scores than German teachers. Teacher education and teacher selection should be considered important levers for reform in mathematics education. 相似文献
8.
Rupert Knight 《Teachers and Teaching》2017,23(7):843-858
The landscape of teacher education is undergoing significant change in many countries and this is often associated with a move towards greater school involvement in the preparation of teachers. One aspect of teaching expertise that is particularly challenging for primary student-teachers is the development of subject knowledge across a wide range of subject areas. Subject knowledge for teaching is multi-faceted and is itself linked to broader questions about curriculum and the content that should be taught. It is timely, therefore, to consider how subject knowledge development might be reconceived in a school setting and how university and school staff might work in new ways with student-teachers to this end. Communities of practice theory is employed as a framework for analysing the learning environment and evaluating these future possibilities. It is argued that collaboration with peers, with their mentoring teachers and with a wider professional community is an under-exploited way of integrating facets of subject knowledge: giving this time and status through structured activities might be a particularly fruitful form of hybrid working in situ. The paper concludes by proposing four principles to underpin this sort of practice. 相似文献
9.
杨锶 《黑龙江教育学院学报》2011,(8):44-46
PCK是学科教学知识(Pedagogical Content Know ledge)的简称,是教师知识范畴中使教学最有效的知识。为了研究PCK产生了一种新的研究模式。这种模式被称为"教师教学的教育重建"(ERTE)模式,它代表了研究科学教师PCK的结构框架,它是一个庞大但是之前又未涉及的研究领域。基于此,从PCK的定义到ERTE模式作介绍,以期进一步促进教师教学的有效性,提高教学质量。 相似文献
10.
教师学科教学知识(PCK)的形成是STEAM教育的发展之基。STEAM教师PCK是教师面对具体的跨学科的内容主题时,所特有的将不同学科的知识和技术转化为学生易于理解的教学形式的整合性知识,具有知识范畴的跨学科性、知识来源的实践性和知识形成的融合性等特点。通过对已有PCK研究的梳理,结合STEAM教育的特征,STEAM教师PCK可分为跨学科内容知识、教学对象知识、教学情境知识和教学策略知识。在此基础上,STEAM教师PCK的建构逻辑:一是立足理论性学习为教师建构PCK打“地基”,促进公共性PCK向个体性PCK转化;二是基于经验性学习为教师建构PCK竖“框架”,推动内隐性PCK向实践性PCK转化;三是通过实践性学习为教师建构PCK添“砖瓦”,实现陈述性PCK向程序性PCK转化。 相似文献
11.
Pernilla Nilsson 《Teachers and Teaching》2013,19(2):188-201
In the context of teacher education, it could well be suggested that assessment activities that build on formative interactions between student teachers and teacher educators might offer new windows into better understanding teaching and learning. This paper presents findings from a study into a primary science teacher education initiative that seeks to build the foundations on which 24 primary science student teachers, through the use of formative assessment of their science teaching and learning, can begin developing their pedagogical content knowledge (PCK). In the project, formative assessment consists of activities used by teacher educators to stimulate interactions, self- and peer-assessment in order to provide insights into how student teachers develop their PCK during a semester. Content Representations (CoRes), were used as a tool to unpack the student teachers’ approach to teaching a science topic and the reasons for that approach. The results indicate that the use of CoRes, together with subsequent self-assessment and formative interactions with teacher educators and peers, do have the potential for PCK development for student teachers. The results further highlight the need for developing reliable and valid tools for capturing and assessing student teachers’ PCK in pre-service teacher education. 相似文献
12.
While pedagogical content knowledge (PCK) has been studied across a wide range of research areas, including science, language teaching and mathematics, there is limited research on the role of PCK in business English (BE) teaching, an important teaching area of English for Specific Purposes. Informed by the conceptual framework of the PCK model for BE teaching, this study examined how four BE teachers integrated the PCK components in their actual classroom teaching in the English as a Foreign Language (EFL) context in China. The analysis of multiple sources of data including classroom observation, semi-structured interviews and teaching materials, identified the different patterns and ways in which the four PCK components (i.e. knowledge of the purposes of BE teaching, knowledge of instructional strategies for BE teaching, knowledge of students’ understanding of BE, and knowledge of the BE curriculum) functioned and were integrated in BE teaching. Implications for BE teaching practice and suggestions for future research on PCK in BE teaching are presented in the paper. 相似文献
13.
Eunice Mthethwa-Kunene Rian de Villiers 《International Journal of Science Education》2013,35(7):1140-1165
This study explored the pedagogical content knowledge (PCK) and its development of four experienced biology teachers in the context of teaching school genetics. PCK was defined in terms of teacher content knowledge, pedagogical knowledge and knowledge of students’ preconceptions and learning difficulties. Data sources of teacher knowledge base included teacher-constructed concept maps, pre- and post-lesson teacher interviews, video-recorded genetics lessons, post-lesson teacher questionnaire and document analysis of teacher's reflective journals and students’ work samples. The results showed that the teachers’ individual PCK profiles consisted predominantly of declarative and procedural content knowledge in teaching basic genetics concepts. Conditional knowledge, which is a type of meta-knowledge for blending together declarative and procedural knowledge, was also demonstrated by some teachers. Furthermore, the teachers used topic-specific instructional strategies such as context-based teaching, illustrations, peer teaching, and analogies in diverse forms but failed to use physical models and individual or group student experimental activities to assist students’ internalization of the concepts. The finding that all four teachers lacked knowledge of students’ genetics-related preconceptions was equally significant. Formal university education, school context, journal reflection and professional development programmes were considered as contributing to the teachers’ continuing PCK development. Implications of the findings for biology teacher education are briefly discussed. 相似文献
14.
美国《中学数学教与学》是初中年级数学教师教育"数学教学法"课程的教材,其特点表现为:单元主题以数学教学理论为线索呈现,单元内容以具体数学知识为载体展开并且以参与式活动的形式组织教学活动.该教材对我国的数学教师教育有如下启示:数学教师教育课程应以数学知识为载体学习数学教育理论;数学教师教育教材应突出教学方式的示范性,体现做中学,在数学教学活动中学习数学教学方法;数学教师教育应注重教师学科专业素质的提升. 相似文献
15.
Teachers' pedagogical content knowledge (PCK) is highly important for effective design and implementation of school teaching. Thus, the current status, development and efficacy of this knowledge, its relationships with teaching quality parameters, and its impact on students' learning processes and success, require rigorous examination. Thoroughly validated, objective and reliable test instruments that are highly sensitive to changes in variables of proven knowledge-related relevance in teacher education are also required. Previous attempts to design such instruments for assessing science teachers' PCK have largely focused on mathematical content. Therefore, here we present an instrument (the pedagogical content knowledge in biology inventory, PCK-IBI), based on conceptualizations of teachers' professional competence, for assessing secondary school pre-service biology teachers' PCK. In a series of three evaluations and refinements it was tested with samples of N = 274 and N = 432 German pre-service as well as one sample of n = 65 German pre-service and n = 35 German in-service biology teachers. Item analysis, scale analysis and empirically obtained indicators of validity suggest that the final 34-item-version of the PCK-IBI is unidimensional, provides objective test scores and enables reliable and valid registration of pre-service biology teachers' PCK. Thus, hypotheses regarding specific aspects of the model on which the PCK-IBI's construction is based on are empirically supported. The results of our study provide empirical support for the instrument's potential utility. 相似文献
16.
教师基于自己的学科知识、经验等,借助于“课例学习＋行动跟进＋经验打磨＋实践反思”等“行动学习”策略进行教学设计,实现有效教学,不断重组、提升学科教学知识。通过强化教学设计（实践）,解决数学教学中存在的问题和困惑,在实践中传递、积累数学教学知识,在反思体验基础上改进课堂教学,发展数学教学能力,提升数学教师的数学教育观念。 相似文献
17.
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
18.
Vanessa Kind 《Studies in Science Education》2013,49(2):169-204
Pedagogical content knowledge (PCK), since its inception as teacher‐specific professional knowledge, has been researched extensively. Drawing on a wide range of literature, this paper seeks to clarify how the potential offered by PCK could be utilised to further develop science teacher education. An analysis of PCK models proposed by various researchers, together with methods of elucidating PCK in experienced and novice teachers, is provided. The paper argues that making PCK more explicit in the teacher education process may help novices adjust to teaching, as well as aiding experienced teachers in developing more reflective practices. 相似文献
19.
ABSTRACTThis paper concludes the Special Issue (SI) ‘Probing the Amalgam: the relationship between science teachers’ content, pedagogical and pedagogical content knowledge’. We review the five papers (Sorge et al; Gess-Newsome et al; Kind; Pitjeng-Mosabala and Rollnick; and Liepertz and Bronowski) by discussing evidence these present regarding the relationships between content knowledge (CK), pedagogical knowledge (PK) and pedagogical content knowledge (PCK); the development of CK, PK and PCK in novice and experienced secondary science teachers and how CK, PK and/or PCK impact students’ learning. In conclusion, we draw these findings together in offering proposals for future research via reconsideration of Shulman’s amalgam. This includes post-hoc examination of a PCK model known as ‘the Consensus Model’ (Gess-Newsome, [2015]. A model of teacher professional knowledge and skill including PCK: Results of the thinking from the PCK Summit. In A. Berry, P. J. Friedrichsen, & J. Loughran (Eds.), Re-examining Pedagogical Content Knowledge in Science Education (pp. 28–42). New York, NY: Routledge; Neumann, Kind, & Harms [2018]. Probing the amalgam: The relationship between science teachers’ content, pedagogical and pedagogical content knowledge. International Journal of Science Education, 1–15) and presentation of a novel PCK structure based on evidence from the SI studies. 相似文献