Pedagogical content knowledge reconceived: Bringing curriculum thinking into the conversation on teachers' content knowledge

This article contributes to a reconceptualization of pedagogical content knowledge through exploring what is entailed in teachers' understanding of content within the framework of the institutional curriculum, with a central concern for the development of human powers (capacities or abilities, ways of thinking, understanding worlds). The contribution is made by way of a curriculum making framework and through examining the capabilities approach and Bildung-centered Didaktik. The central thesis is that a teacher necessarily interprets the content contained in the institutional curriculum, identifying its elementary elements and ascertaining its educational potential. The interpretation calls for curriculum thinking informed by a theory of content.     

Emotional ecology: The intersection of emotional knowledge and pedagogical content knowledge in teaching

The purpose of this paper is to offer some theoretical as well as empirical examples that describe the interrelations between pedagogical content knowledge (PCK) and emotional knowledge in teaching and learning. The argument put forward is that there is a need to expand current conceptions of PCK and acknowledge the role of emotional knowledge. It is shown how a teacher's emotional knowledge about teaching and learning is an inextricable part of the ecosystem of teacher knowledge; this is called emotional ecology. Our research shows that the construct of emotional ecology occurs on different planes as there are different types of emotional knowledge that are aspects of PCK. The implications for pre-service and in-service teacher development are discussed.     

Resolving the amalgam: connecting pedagogical content knowledge,content knowledge and pedagogical knowledge

ABSTRACT

This 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.     

Toward a framework for the development of mathematical knowledge for teaching

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.

Pedagogical content knowledge and the teaching of outdoor education

This theoretical paper examines the concept of pedagogical content knowledge (PCK) and explores how it might contribute to conversations around quality teaching and learning in outdoor education. This paper begins by summarizing the historical and contemporary literature, including issues of definitions, curriculum, content, and pedagogy in outdoor education. We then review the concept of PCK, its history, and contributions to other subject areas, including mathematics. We present a framework for PCK from the field of mathematics education and propose a 'modified' PCK framework for outdoor education. We postulate that this framework might help articulate knowledge areas needed by a teacher of outdoor education, and how these differ from and are similar to those required in other subject areas. We conclude by exploring how the idea of PCK and the modified framework might add to existing understandings of what it means to provide high quality outdoor education teaching and learning experiences.     

Content knowledge and pedagogical content knowledge in Taiwanese and German mathematics teachers

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.     

Teacher pedagogical constructions: a reconfiguration of pedagogical content knowledge

A brief review of the history of pedagogical content knowledge reveals various definitions and conceptualizations of the construct, as well as some conceptual problems. A new conceptualization—teacher pedagogical constructions—is offered to address some of the problems associated with PCK. Seven assertions that comprise the new conceptualization are presented, explained and defended. These are: (1) PCK represents personal and private knowledge; (2) PCK is a collection of basic units called teacher pedagogical constructions; (3) teacher pedagogical constructions result mainly from planning, but also from the interactive and post‐active phases of teaching; (4) pedagogical constructions result from an inventive process that is influenced by the interaction of knowledge and beliefs from different categories; (5) pedagogical constructions constitute both a generalized event‐based and a story‐based kind of memory; (6) pedagogical constructions are topic specific; and (7) pedagogical constructions are (or should ideally be) labeled in multiple interesting ways that connect them to other categories and subcategories of teacher knowledge and beliefs. The proposed definition results from a reconceptualization of the nature of PCK as originally proposed, taking the results of major later studies and conceptualizations of PCK into consideration, appropriating new ideas about the structure of memory, and undertaking a reanalysis and presentation of data from a previous study. The article calls for viewing PCK as neither a subcategory of subject matter (subject matter knowledge for teaching) nor as a general generic form of knowledge. It presents a view of PCK as a collection of teacher professional constructions, as a form of knowledge that preserves the planning and wisdom of practice that the teacher acquires when repeatedly teaching a certain topic. Viewing PCK as a collection of TPCs, more precisely defining it, clarifying its relations to other knowledge and beliefs entities, and speculating about its development should facilitate future investigations of PCK.     

Pedagogical content knowledge in computing education: a review of the research literature

This review synthesizes literature on computing pedagogical content knowledge (PCK). Shulman introduced PCK in the 1980s to describe the amalgam of knowledge teachers draw upon in their work and use of the construct is increasing in the computing education community. From a systematic search of the literature, I identified 19 articles drawn from 9 countries for review and summarize how computing PCK is conceptualized and investigated in the data set. Five conceptualizations of computing PCK were present: (a) two models of computing PCK components, (b) one model of PCK development and (c) two models focused on the metaphoric and problem-solving nature of computing. The most common research lines addressed were the nature and development of individual PCK. Mostly qualitative methods created by authors were employed. A focus on discipline-specific approaches for future computing PCK research is recommended.     

Teaching Grammar and Testing Grammar in the English Primary School: The Impact on Teachers and their Teaching of the Grammar Element of the Statutory Test in Spelling,Punctuation and Grammar (SPaG)

The research examined the impact on teachers of the grammar element of a new statutory test in Spelling, Punctuation and Grammar (SPaG) in primary schools in England. The research aimed to evaluate the nature and the extent of changes to the teaching of grammar and to wider literacy teaching since the introduction of the test in 2013. The research explored teachers’ responses to teaching grammar to a statutory test format, and how teachers implemented rapid curriculum change in their classrooms. The research sought to learn the perspectives of teachers as they adjusted to new English assessments and new expectations for children’s language in the primary school. This paper draws on teacher interviews (n = 16) and an online survey of teaching staff (n = 170). Teachers discuss their knowledge, understanding and enjoyment of grammar at their own level, and their skills for teaching pupils; they also discuss their observations of how pupils have responded to explicit grammar teaching and the grammar test. The data give some insights into the processes for teachers of applying new requirements for teaching and testing grammar, and how teachers strive to make grammar accessible to children. The findings discussed in this paper are: (1) since the introduction of the statutory SPaG test in primary schools, time spent teaching decontextualised and contextualised grammar has increased significantly; (2) grammar is now taught explicitly and formally as a classroom literacy routine; (3) the test format influences grammar teaching content and approaches; (4) teachers observe that pupils enjoy learning grammar and taking the test; (5) teachers disagree about the extent to which explicit grammar teaching and testing have a positive impact on pupils’ language and literacy skills; (6) teachers feel more confident about teaching grammar.     

Exploring the relationship between pedagogical content knowledge (PCK) and sustainability of an innovative science teaching approach

This study identified common patterns in Pedagogical Content Knowledge (PCK) of three exemplary teachers who have voluntarily sustained the implementation of an argument-based inquiry approach, and explored how those patterns relate to their sustained implementation. Results indicate that teachers’ orientations aligned with argument-based inquiry, especially as to how students learn, are essential for their sustained implementation. Their orientations are strongly connected with two other components of PCK (i.e., Knowledge of Student Understanding and Knowledge of Instructional Strategies and Representations), which mutually interact with the sustainability of the implementation.     

Structure and development of pre-service physics teachers’ professional knowledge

ABSTRACT

Teachers’ professional knowledge is considered one of the most important predictors of instructional quality. According to Shulman, such professional knowledge includes content, pedagogical content and pedagogical knowledge. Although recent research shed some light on the structure of the dimensions of professional knowledge, little is known how teacher education impacts pre-service physics teachers’ professional knowledge. In an effort to address this issue, we examined the content, pedagogical content and pedagogical knowledge of N?=?200 pre-service physics teachers enrolled in different years of teacher education at 12 major teacher education universities in Germany. We used structural equation modelling (1) to examine the relations amongst pre-service physics teachers’ content, pedagogical content and pedagogical knowledge, (2) to explore how the three kinds of knowledge and their relations differ across different stages of teacher education and (3) to identify factors affecting the level of each component of professional knowledge. Our findings suggest that content, pedagogical content and pedagogical knowledge represent distinct types of knowledge. Furthermore, our findings show that in the first years of professional education, pedagogical content knowledge is more closely related with general pedagogical knowledge while in later years, it is more closely related with content knowledge, suggesting that it develops from a general knowledge about teaching and learning into knowledge about the teaching and learning of specific content. Finally, beyond school achievement and years of enrolment as predictors, we find in particular the amount of classroom observations to have a positive impact on the professional knowledge of pre-service physics teachers.     

Developing pre-service teachers' professional knowledge of teaching: The influence of mentoring

This study was situated in a Primary Teacher Education program in the Netherlands. The participants (N=16) comprised four each of: Pre-Service Teachers (PST); Mentor Teachers; School-Based Teacher Educators; and University-Based Teacher Educators. Video-recordings of four mentoring conversations for each PST which transcribed and translated for analysis. A mixed methodology was applied with analysis based on examining mentoring conversations in relation to the MERID-model through turn-taking analysis and Propositional Discourse Analysis. The study illustrates that mentors tend to use a more directive mentoring approach and that they dominate dialogue suggesting that there is aneed for reconsideration of the mentor-PST learning relationship and how it is understood in teacher education.     

Revisiting the Translation of Nature of Science Understandings into Instructional Practice: Teachers' nature of science pedagogical content knowledge

This study (a) assessed the influence of an integrated nature of science (NOS) instructional intervention on inservice secondary science teachers' understandings, retention of those understandings, and their NOS instructional planning and practices; and (b) examined factors that mediated the translation of teachers' NOS understandings into practice. Nineteen teachers participated in an intensive, 6-week NOS course, which concluded with teachers developing plans to address NOS in their classrooms. Next, 6 participants were observed as they implemented their instructional plans. Data sources included pretest, posttest, and delayed-test NOS assessments, classroom observations, and several teacher-generated artifacts. The NOS course was effective in helping teachers develop informed NOS conceptions and retain those understandings 5 months after its conclusion. Teachers met with challenges and successes as they attempted to address NOS instructionally. The translation of NOS conceptions into practice was primarily mediated by the very nature of teachers' newly acquired NOS understandings, which were situated within the science contents, contexts, and experiences in which they were developed (i.e. the NOS course); thus, limiting participants' abilities to transfer their understandings into novel contexts and contents. The results helped build a model of the sources of science teachers' pedagogical content knowledge for teaching about NOS in content-rich contexts.     

Affordances of video-based professional development for supporting physics teachers' judgments about evidence of student thinking

This study explores the affordances of a video-based professional development workshop for supporting physics teachers' content-specific judgments about evidence of student thinking. We rated both the quality of teachers' discussions and the judgments that resulted as they discussed video clips highlighting student thinking. We found that teachers' judgments were related to the quality of their discussions. Quantitative and qualitative analyses suggest that elaborated focus questions and interactions with colleagues may support teachers with relatively little physics teaching experience in using their collective wisdom to engage in a situation-specific skill necessary for responsive teaching.     

Use of the Rasch measurement model to explore the relationship between content knowledge and topic-specific pedagogical content knowledge for organic chemistry

Research has shown that a high level of content knowledge (CK) is necessary but not sufficient to develop the special knowledge base of expert teachers known as pedagogical content knowledge (PCK). This study contributes towards research to quantify the relationship between CK and PCK in science. In order to determine the proportion of the variance in PCK accounted for by the variance in CK, instruments are required which are valid and reliable as well as being unidimensional to measure person abilities for CK and PCK. An instrument consisting of two paper-and-pencil tests was designed to assess Grade 12 teachers CK and PCK in organic chemistry. We used the Rasch measurement model to convert raw score data into interval measures and to provide empirical evidence for the validity, reliability and unidimensionality of the tests. The correlation between CK and PCK was estimated as r = .66 (p < .001). We found evidence to suggest that while topic-specific PCK (TSPCK) develops with increasing teaching experience, high levels of CK can be acquired with limited teaching experience. These findings support the hypothesis that CK is a requirement for the development of TSPCK; proficiency in CK is, however, not necessarily associated with high levels of TSPCK.     

Exploring pedagogical content knowledge of biology graduate teaching assistants through their participation in lesson study

Graduate teaching assistants (GTAs) are responsible for teaching the majority of biology undergraduate laboratory sections, although many feel underprepared to do so. This study explored the impact of biology GTA participation in a professional development model known as lesson study. Using a case study methodology with multiple qualitative data sources, this study found that lesson study was beneficial for this group of GTAs in that it modified critical aspects of their beliefs about biology instruction. Each participant felt that lesson study helped revise their teaching and changes were seen in some aspects of the participants’ Pedagogical Content Knowledge (PCK). Despite this, there was an observed disconnect between participants’ vocalized intent and classroom practice. This disconnect could be attributed to the difficulty of implementing new strategies, the short duration of the lesson study, and the instructional inexperience of the participants in the study.     

The function and integration of components of pedagogical content knowledge (PCK) in classroom teaching: a case study of business English teachers

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.     

Inquiry-based science teaching competence of primary school teachers: A Delphi study

Earlier, extracted inquiry-based science teaching competency elements and domains from the international literature were compared to the United States' National Science Teaching Standards. The present Delphi study aimed to validate the findings for the Netherlands, where such standards are lacking. Experts (N = 33) were asked about the importance of 23 identified competencies. They confirmed the importance; proposed to add one competency and to differentiate between novice and experienced teachers. They suggested that teachers be provided with opportunities to integrate competence development regarding science knowledge, attitude and teaching skills throughout their career.     

Negotiating the teaching of history in times of curriculum reform: the narrative accounts of four Australian primary teachers

This research investigates the understandings of four teachers who teach history in primary and early childhood settings. Data were gathered from participants through semi-structured interviews. The participants were experienced teachers who were in the process of curriculum change – from teachers of studies of society and environment to teachers of history, under the auspices of the Australian Curriculum: History. The focus of the study was on their understandings of content knowledge and the pedagogies involved in classroom teaching, using a pedagogical framework, which sought to identify and categorise the nature of their knowledge base in the implementation phase of the Australian Curriculum: History. The study used narrative inquiry to show how temporality, sociality, and place play out in the lives of these teachers of history. The findings from this study indicate the challenges and opportunities for teachers’ professional knowledge landscapes in times of curriculum reform. Whilst there are a small number of participants in this study, their stories provide insight into how teachers responded to the challenges and opportunities of teaching history and how these teachers have shaped the implementation of the history curriculum.     

Inquiry-Based Science Education Competencies of Primary School Teachers: A literature study and critical review of the American National Science Education Standards

Inquiry-based science education is an important innovation. Researchers and teachers consider it to be stimulating for pupils’ application of research skills, construction of meaning and acquiring scientific knowledge. However, there is ambiguity as to what competencies are required to teach inquiry-based science. Our purpose is to develop a profile of professional competence, required for effective inquiry-based science teaching in primary schools in the Netherlands. This article reviews literature and compares the outcomes to the American National Science Education Standards (NSES). In so doing, it seeks to answer the following research questions: What elements of competencies required by primary school teachers who teach inquiry-based science are mentioned, discussed and researched in recent literature? To what extent are the American NSES (introduced 15 years ago) consistent with elements of competencies found in recent literature? A comprehensive literature review was conducted using Educational Resources Information Centre and Google Scholar databases. Fifty-seven peer-reviewed scientific journal articles from 2004 to 2011 were found using keyword combinations. Analysis of these articles resulted in the identification and classification of 22 elements of competencies. This outcome was compared to the American NSES, revealing gaps in the standards with respect to a lack of focus on how teachers view science teaching and themselves as teachers. We also found that elements of competencies are connected and poor mastery of one may affect a teacher's mastery of another. Therefore, we propose that standards for the Netherlands should be presented in a non-linear, holistic, competence-based model.