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.     

Measuring teachers' pedagogical content knowledge in primary technology education

Pedagogical content knowledge is found to be a crucial part of the knowledge base for teaching. Studies in the field of primary technology education showed that this domain of teacher knowledge is related to pupils' increased learning, motivation, and interest. The common methods to investigate teachers' pedagogical content knowledge are often complicated, and time and labour consuming. Hence, a challenge in measuring teachers' pedagogical content knowledge is to construct an instrument that is time and labour‐efficient, and makes it possible to investigate large sample sizes. This paper illustrates how a multiple‐choice test to measure teachers' pedagogical content knowledge in primary technology education was designed and validated. The procedure of test construction and the first results are presented. It is concluded that the systematic procedure that was followed is effective for the construction of a valid test. In addition, statistical analyses showed that test/re‐test reliability is moderate. Data collection with larger samples is needed in order to find more statistical support for the psychometric properties of the test.     

The development of beginning mathematics teacher pedagogical content knowledge

Recent research efforts (Schmidt et al. in The preparation gap: teacher education for middle school mathematics in six countries, MSU Center for Research in Mathematics and Science Education, 2007) demonstrate that teacher development programs in high-performing countries offer experiences that are designed to develop both mathematical knowledge and pedagogical knowledge. However, identifying the nature of the mathematical knowledge and the pedagogical content knowledge (PCK) required for effective teaching remains elusive (Ball et al. in J Teacher Educ 59:389–407, 2008). Building on the initial conceptual framework of Magnusson et al. (Examining pedagogical content knowledge, Kluwer, Dordrecht, pp 95–132, 1999), we examined the PCK development for two beginning middle and secondary mathematics teachers in an alternative certification program. The PCK development of these two individuals varied due to their focus on developing particular aspects of their PCK, with one individual focusing on assessment and student understanding, and the other individual focusing on curricular knowledge. Our findings indicate that these individuals privileged particular aspects of their knowledge, leading to differences in their PCK development. This study provides insight into the specific aspects of PCK that developed through the course of actual instructional practice, providing a lens for future research in this area.     

Engineering teachers' pedagogical content knowledge

The aim of the study was to discover the essential characteristics of engineering teachers' pedagogical content knowledge by studying teachers' conceptions of their students' ideas of moment. To compare the conceptions maintained by teachers with those of their students, the most common difficulties experienced by first-year engineering students in understanding the moments of forces were looked at. The data on students' conceptions were collected by means of a questionnaire. In addition, four experienced teachers were given the same questionnaire as the students and then were asked to write what they expected the students' answers to be. The students' answers and the teachers' conceptions of their students' potential answers were compared. It was found that although the teachers originally appeared to be familiar with their students' conceptions, they were rather astonished by the general pattern of the students' thinking. It is planned that the information gathered about the teachers' pedagogical content knowledge will eventually be used to improve engineering teacher training.     

Preparing teachers to teach science and mathematics with technology: Developing a technology pedagogical content knowledge

Preservice teachers’ pedagogical content knowledge (PCK) development was investigated with respect to integrating technology. Four components of PCK were adapted to describe technology-enhanced PCK (TPCK). The study examined the TPCK of student teachers in a multi-dimensional science and mathematics teacher preparation program that integrated teaching and learning with technology throughout the program. Five cases described the difficulties and successes of student teachers teaching with technology in molding their TPCK. Student teachers view of the integration of technology and the nature of the discipline was identified as an important aspect of the development of TPCK.     

Developing science teachers' pedagogical content knowledge

This article discusses the concept of pedagogical content knowledge (PCK) within the context of science teaching. First, an attempt is made to define this concept within the tradition of research on teachers' craft knowledge and to identify possible purposes of research on PCK. From this point of view, recent research on science teaching is investigated. This investigation identifies teaching experience as the major source of PCK, whereas adequate subject-matter knowledge appears to be a prerequisite. Finally, an empirical study is presented which focuses on PCK with respect to a specific topic—that is, chemical equilibrium. The effects on teachers' PCK of participation in an in-service workshop and conducting an experimental course in classroom practice are reported. This leads to the identification of elements of PCK teachers can use to promote student understanding. It is concluded that research on topic-related PCK may complement research on student learning of specific topics. © 1998 John Wiley & Sons, Inc. J Res Sci Teach 35: 673–695, 1998.     

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.     

Science teachers' pedagogical content knowledge development during enactment of socioscientific curriculum materials

The purpose of this study is to provide insight into short-term professionalization of teachers regarding teaching socioscientific issues (SSI). The study aimed to capture the development of science teachers' pedagogical content knowledge (PCK) for SSI teaching by enacting specially designed SSI curriculum materials. The study also explores indicators of stronger and weaker development of PCK for SSI teaching. Thirty teachers from four countries (Cyprus, Israel, Norway, and Spain) used one module (30–60 min lesson) of SSI materials. The data were collected through: (a) lesson preparation form (PCK-before), (b) lesson reflection form (PCK-after), (c) lesson observation table (PCK-in-action). The data analysis was based on the PCK model of Magnusson, Krajcik, and Borko (1999). Strong development of PCK for SSI teaching includes “Strong interconnections between the PCK components,” “Understanding of students' difficulties in SSI learning,” “Suggesting appropriate instructional strategies,” and “Focusing equally on science content and SSI skills.” Our findings point to the importance of these aspects of PCK development for SSI teaching. We argue that when professional development programs and curriculum materials focus on developing these aspects, they will contribute to strong PCK development for SSI teaching. The findings regarding the development in the components of PCK for SSI provide compelling evidence that science teachers can develop aspects of their PCK for SSI with the use of a single module. Most of the teachers developed their knowledge about students' understanding of science and instructional strategies. The recognition of student difficulties made the teacher consider specific teaching strategies which are in line with the learning objectives. There is an evident link between the development of PCK in instructional strategies and students' understanding of science for SSI teaching.     

Enhancing pedagogical content knowledge in elementary science

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.     

Preparing preservice teachers for self-regulated learning in the context of technological pedagogical content knowledge

The present study investigated effects of two hypermedia environments on 95 preservice university teachers' self-regulated learning (SRL) in the context of technological pedagogical content knowledge (TPCK): hypermedia with metacognitive instruction (HYP + META) and without (HYP). The study combined online reflections with self-report measures to assess SRL processes. Results showed that exposure to metacognitive support using the IMPROVE self-questioning method may enhance preservice teachers' ability to reflect on and regulate their learning processes. This, in turn, can develop their TPCK, both as learners (comprehension skills) and as teachers (design skills). Further analysis indicated high correlations within SRL measures (self-reports, online reflections) and between SRL and TPCK tasks. Implications are discussed for teacher training in SRL-integrated TPCK contexts.     

Operationalising pedagogical content knowledge research in technology education: Considerations for methodological approaches to exploring enacted practice

Like many areas of curricula internationally, technology education has encountered difficulties in achieving continuity between the rhetoric of prevailing policy and the reality of enacted practices. In technology education, the conceptually oriented nature of curricular goals is theorised to play a significant part in influencing this relationship. One way in which investigations of this relationship have been approached is considering the application of pedagogical content knowledge (PCK) frameworks as a mechanism to understand the interaction of teachers’ knowledge and enacted practices. However, understanding from the philosophy of technology, and the technology education literature, suggests that technology education treats knowledge differently to many other disciplines. As a result of this, the interactions between teachers’ beliefs and knowledge are theorised to play a more significant role in influencing enacted practice in technology education. Building on this perspective, this article considers the need to investigate the roles of teachers’ knowledge and beliefs, and the interactions between these, in the investigation of enacted practice. Further to this, the article problematises the potential for a dominance of exploratory research, though acknowledging the need for research within different paradigms; a common frame of reference is advocated. In advocating a more holistic approach to investigating enacted practice, and the factors which may influence teachers’ enactment of teaching practice, it is envisioned that this article takes a step towards methodological coherence regarding the study of enacted practice in technology education.     

Assessing technologies for teaching and learning: understanding the importance of technological pedagogical content knowledge

Past and present research has provided evidence to support the claim that technologies for teaching and learning must be pedagogically sound. However, educational technologies are also part of a complex process involving the people in the implementation of the innovation. In this paper, I review existing research and explain what both of those claims entail for educational technology. In the remainder of the paper, I discuss the research agenda related to the need to provide evidence that technology innovations are successful in the implementation process. Implications of this three‐part model as well as a discussion of the importance of technological pedagogical content knowledge conclude the paper.     

Probing the amalgam: the relationship between science teachers’ content,pedagogical and pedagogical content knowledge

ABSTRACT

This Special Issue aims to present evidence about the relationships between content knowledge (CK), pedagogical knowledge (PK) and pedagogical content knowledge (PCK); the development of these types of knowledge in novice and experienced secondary science teachers; and how CK, PK and/or PCK impact students’ learning. Since Shulman’s introduction of PCK as the feature that distinguishes the teacher from the content expert, researchers have attempted to understand, delineate, assess and/or develop the construct in pre- and in-service teachers. Accordingly, empirical findings are presented that permit further discussion. Outcomes permit post-hoc examination of a recent, collectively described, ‘consensus’ model of PCK, identifying strengths and potential issues. As we will illustrate, the relationship between CK, PK and PCK is central to this; that is, probing the hypothesis of pedagogical content knowledge as an ‘amalgam’ of content and pedagogical knowledge.     

Development of an instrument for exploring preservice technology teachers’ maker-based technological pedagogical content knowledge

With the development of the maker movement, more and more teachers are applying a broad range of technological tools in their pedagogy, instead of only information technology. This study details the development and validation of the Teachers Maker-based TPACK Survey Instrument (TMTSI), a revised model designed to measure technology teachers’ maker-based technological pedagogical content knowledge (TPACK) in utilizing maker-based tools to support their teaching. We recruited 165 preservice secondary technology teachers in Taiwan for this study and confirmatory factor analysis was applied to validate the instrument. Our findings suggest that TMTSI provided a valid and highly reliable research-based instrument that also serves as a professional development model to help scaffold the development of K-12 technology teachers. This paper details the theoretical foundations of TMTSI, reports on its reliability and validity, and discusses the application and implications of TMTSI for teacher education and professional development.     

Examining preservice teacher content and pedagogical content knowledge needed to teach reading in elementary school

Recently, increased attention has been placed on the importance of having knowledgeable and skilled teachers in order to influence reading achievement. Yet many international reports suggest that large numbers of children are not learning to read. How can we better prepare teachers with the necessary knowledge to teach reading? The current study examined the reading instructional knowledge of elementary education preservice teachers (N = 87) from two teacher education programmes. Programme A required five reading methods courses and Programme B required two methods courses. Findings indicate that the preservice teachers presented fairly robust levels of knowledge in the areas of phonological awareness, phonics, comprehension and vocabulary. However, we found statistically significant differences in knowledge based on the programme attended and the number of courses completed. Suggestions for improving reading teacher education are provided.     

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.