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.     

Teacher pedagogical content knowledge,practice, and student achievement†

ABSTRACT

In this exploratory study, we attempted to measure potential changes in teacher knowledge and practice as a result of an intervention, as well as trace such changes through a theoretical path of influence that could inform a model of teacher professional knowledge. We created an instrument to measure pedagogical content knowledge (PCK), studied the impact of a two-year professional development intervention, explored the relationships among teacher variables to attempt to validate a model of teacher professional knowledge, and examined the relationship of teacher professional knowledge and classroom practice on student achievement. Teacher professional knowledge and skill was measured in terms of academic content knowledge (ACK), general pedagogical knowledge (GenPK), PCK and teacher practice. Our PCK instrument identified two factors within PCK: PCK-content knowledge and PCK-pedagogical knowledge. Teacher gains existed for all variables. Only GenPK had a significant relationship to teacher practice. ACK was the only variable that explained a substantial portion of student achievement. Our findings provide empirical evidence that we interpret through the lens of the model of teacher professional knowledge and skill, including PCK [Gess-Newsome, J. (2015). A model of teacher professional knowledge and skill including PCK: Results of the thinking from the PCK summit. In A. Berry, P. Friedrichsen, & J. Loughran (Eds.), Re-examining pedagogical content knowledge in science education (pp. 28–42). London: Routledge Press], highlighting the complexity of measuring teacher professional knowledge and skill.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

A new instrument for measuring pre-service biology teachers' pedagogical content knowledge: The PCK-IBI

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.     

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.     

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.     

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.

Not a stale metaphor: the continued relevance of pedagogical content knowledge for science research and education

Recently, theorists have raised concerns that pedagogical content knowledge (PCK) has become “a stale metaphor” that disregards diversity and equity, offers little to help teachers address students’ misconceptions, and portrays knowledge as “in the head” versus in practice. We refute these notions using grounded theory to specify ways one 7th-grade science teacher enacted PCK to advance student learning. With the definition of PCK as knowledge at the intersection of content and teaching, we utilised a framework for science PCK to explore instructional decision-making. Interviews conducted over three years revealed specific ways the teacher enacted PCK by designing and delivering instruction built on each of the seven conceptual science PCK components. The teacher enacted PCK to plan and deliver instruction that was responsive, adaptive, and considerate of changing needs of students and the changing classroom landscape. She infused PCK into instructional decision-making, instructional interactions, and mentoring of a student teacher, modelling the translation of educational theory into practice and habits of mind necessary for expert teaching. This enactment actively refutes Settlage’s critiques, and depicts PCK as a vibrant and effective stance for teaching that enhances learning.     

Technological pedagogical content knowledge in teacher education: in search of a new curriculum

The aim of this study was to explore the ways in which teacher education institutions (TEI) prepare pre-service teachers for integrating information and communication technology (ICT) in their classroom practise. Specifically, a multiple case study was conducted to examine the ways in which the development of technological pedagogical content knowledge (TPACK) was promoted in the existing curriculum of three TEI in Flanders. In the three cases, data were drawn from semi-structured interviews with the heads of the department and the ICT coordinators. Focus group discussions collected the perspectives of pre-service teachers and teacher educators. The results indicate that (1) the three institutions are moving from ICT as a ‘stand-alone’ course towards embedding ICT across the curriculum and (2) three approaches were adopted for developing pre-service teachers’ TPACK, each representing different ways of understanding the place of ICT in the curriculum. The discussion will focus on the challenges and opportunities inherent in understanding how to develop pre-service teachers’ TPACK in the curriculum of TEI.     

Pedagogical content knowledge in science education: perspectives and potential for progress

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.     

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.     

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.     

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.