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.     

Pedagogical content knowledge as reflected in teacher–student interactions: Analysis of two video cases

Despite the theorized centrality of pedagogical content knowledge (PCK) for teaching, we have little evidence of the relationship between PCK and students' learning and know relatively little about how to help teachers to develop PCK. This study is a preliminary attempt to address these gaps in our knowledge of PCK through exploration of two German physics teachers' classroom instruction in consecutive lessons on optics. We show how video analysis can be used to gather evidence for one aspect of teachers' PCK: their use of content knowledge in interactions with students. We identify three potentially important characteristics of this aspect of PCK: flexibility, richness, and learner‐centeredness. By contrasting teachers with high and low gains in student knowledge and interest, we explore potential mechanisms by which this aspect of PCK might affect student outcomes. Because German teacher preparation programs emphasize content more than pedagogical knowledge, these cases contribute to our understanding of the support that teachers with strong content knowledge may need in translating this knowledge into a form useful for teaching.Fachdidaktisches Wissen ist aus theoretischer Sicht besonders zentral für das Unterrichten. Aus empirischer Sicht gibt es bislang allerdings noch wenig Evidenz für den Einsatz fachdidaktischen Wissens während des Unterrichtens und seine Bedeutung für das Lernen von Schülerinnen und Schülern. Außerdem wissen wir wenig darüber, wie Lehrpersonen über die Zeit fachdidaktisches Wissen entwickeln. Diese Studie ist ein Versuch, diese Wissenslücken zum fachdidaktischen Wissen von Lehrpersonen zu bearbeiten. Dabei wird exemplarisch der Unterricht von zwei deutschen Physiklehrern in aufeinanderfolgenden Stunden zum Thema Optik untersucht. Die Studie zeigt wie Videoanalysen genutzt werden können, um Belege für einen Aspekt des fachdidaktischen Wissens der Lehrpersonen zu sammeln: Ihre Nutzung von inhaltlichem Wissen in der Interaktion mit den Schülerinnen und Schülern. In dieser Studie werden drei potentiell wichtige Charakteristika dieses Aspekts des fachdidaktischen Wissens identifiziert: Flexibilität, Reichhaltigkeit und Schülerorientierung. Durch die Gegenüberstellung von Lehrpersonen mit hohem und niedrigem Wissens‐ und Interessenzuwachs wurden potentielle Mechanismen untersucht, durch die dieser Aspekt des fachdidaktischen Wissens die Lernergebnisse von Schülerinnen und Schülern beeinflussen kann. Die Lehrerausbildung in Deutschland betont das inhaltliche Wissen stärker als das fachdidaktische Wissen. Die ausgewählten Fälle beschreiben, welche Unterstützung Lehrpersonen mit einem hohen fachlichen Wissen benötigen, um dieses Wissen so zu verändern, dass es für das Unterrichten genutzt werden kann. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 1211–1239, 2012     

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.     

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.     

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.     

外语教师学科教学知识的要素及影响因素辨析

在对普通教育领域学科教学知识要素分析的基础上,本文指出对学科教学知识分析时,要区分学科教学知识的要素和影响因素。文章区分并细化了外语教师学科教学知识要素和影响因素的具体内容。不论是作为要素的教师知识,还是作为影响因素的知识,都是作为教师知识的整体而起作用,只有整合各类教师知识,才有助于理解教学的复杂性。     

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.     

Facilitating dynamic pedagogical decision making: PEPE and GTE

The Generic Tutoring Environment (GTE) is centred around a generic instructional knowledge base that facilitates dynamic pedagogical decision making. PEPE is a computational framework for representing the pedagogical knowledge required to dynamically tailor instruction to an individual student. Both the GTE model and the PEPE framework form the basis for an instructional component that orchestrates the courseware's interaction with the student. In this paper, the knowledge content of the two is examined and the role of each in instructional planning is described. In general, it is concluded that PEPE and GTE complement one another and a merging of their ideas would be a worthwhile endeavour.     

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.     

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.     

The impact of physics teachers’ pedagogical content knowledge and motivation on students’ achievement and interest

This paper examines students’ achievement and interest and the extent to which they are predicted by teacher knowledge and motivation. Student achievement and interest are both considered desirable outcomes of school instruction. Teacher pedagogical content knowledge has been identified a major predictor of student achievement in previous research, whereas teacher motivation is considered a decisive factor influencing students’ interest. So far, however, most research either focused on knowledge or motivation (both on the students’ as well as the teachers’ side), rarely investigating them together or examining the instructional mechanisms through which the supposed effects of teacher knowledge and motivation are facilitated. In the present study, N = 77 physics teachers and their classes in Germany and Switzerland are investigated utilizing a multi‐method approach in combining data obtained from test‐instruments (teacher pedagogical content knowledge, student achievement) and questionnaires (teacher motivation, student interest, student perceived enthusiastic teaching) as well as videotaped instruction (cognitive activation rated by observers). Multi‐level structural equation modeling was used to support the assumptions that teacher pedagogical content knowledge positively predicted students’ achievement; the effect was mediated by cognitive activation. Teachers’ motivation predicted students’ interest which was mediated by enthusiastic teaching as perceived by students. Neither did teacher pedagogical content knowledge predict students’ interest, nor teacher motivation students’ achievement. This implies that in order to improve students’ cognitive as well as affective outcomes, both teachers’ knowledge but also their motivation need to be considered. © 2016 The Authors. Journal of Research in Science Teaching Published by Wiley Periodicals, Inc. J Res Sci Teach 54:586–614, 2017     

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.     

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.     

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.     

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.     

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.     

Pedagogical content knowledge of French as a foreign language: differences between pre-service and in-service teachers

Pedagogical content knowledge (PCK) is an important predictor of educational quality. PCK develops from various sources, such as teaching experience. Studies investigating the effects of teaching experience on PCK development mainly focus on the question whether experienced teachers differ from novices in the amount of PCK. In a mixed methods study, we study both quantitative and qualitative differences between pre-service and in-service teachers’ PCK. Total scores on a paper-and-pencil instrument are used as a measure of French PCK. To analyse the participants’ PCK in a qualitative way, answers are coded in four categories and the prevalence of answers in each category is compared between groups. Furthermore, the nature of answers is studied. No differences on our quantitative PCK measure are observed. The qualitative analysis shows that in-service teachers have more difficulties with conceptual knowledge, while showing more practical knowledge of students’ understanding than pre-service teachers.     

Mapping out the integration of the components of pedagogical content knowledge (PCK): Examples from high school biology classrooms

This study explored the nature of the integration of the five components of pedagogical content knowledge (PCK): (a) Orientations toward Teaching Science, (b) Knowledge of Student Understanding, (c) Knowledge of Instructional Strategies and Representations, (d) Knowledge of Science Curriculum, and (e) Knowledge of Assessment of Science Learning. Given the topic and context specificity of PCK, this investigation was conducted in the context of the photosynthesis and heredity instruction of four teachers who were working at the same high school with the same curricular materials. Data sources included classroom observations, semi‐structured interviews, lesson plans, instructional materials, and students' work samples. Data were analyzed through three different approaches: (a) in‐depth analysis of explicit PCK, (b) enumerative approach, and (c) the constant comparative method. Data analysis indicated five salient features of the integration of the PCK components: (a) the integration of the components was idiosyncratic and topic‐specific; (b) Knowledge of Student Understanding and Knowledge of Instructional Strategies and Representations were central in the integration; (c) Knowledge of Science Curriculum and Knowledge of Assessment of Science Learning had most limited connection with other components; (d) Knowledge of Assessment of Science Learning was more often connected with Knowledge of Student Understanding and Knowledge of Instructional Strategies and Representations than with the other components; and (e) Didactic Orientations toward Teaching Science directed Knowledge of Instructional Strategies and Representations inhibiting its connection with other components. This study highlights that the quality of PCK depends on the coherence among the components as well as the strength of individual components. From a methodological perspective, this study demonstrates the possibility to make PCK more visible and accessible by using a PCK Map, a pictorial representation of the interactions of the PCK components. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 922–941, 2012     

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.