Comparing Pre-Service Teachers’ PCK Through 9E Instructional Practice: A Case of Mathematics and Technology Pre-Service Teachers

Instructional practice plays a significant role in understanding teachers’ pedagogical content knowledge (PCK). The aim of the study reported on was to compare mathematics and technology pre-service teachers’ knowledge of PCK. The study used a case study approach of five mathematics and five technology pre-service teachers with a total of ten. Data was collected in seven public schools around Gauteng province in South Africa. The observation technique was employed in order to understand students’ classroom practice, using a video camera to capture the setting. One lesson of 45 minutes presented by each pre-service teacher, rendering a total of ten lessons, was observed. The study adapted the theoretical framework of PCK (Shulman 1987). The study scrutinised the data based on the qualitative content analysis method and found that most pre-service teachers in both mathematics and technology possess a limited knowledge of PCK. In both subjects, most of the pre-service teachers’ classroom practice did not exhibit comprehensive knowledge of the subject matter or knowledge of the learners. However, the difference is that only mathematics pre-service teachers have some knowledge of assessment. The data also indicate that “9E” instructional practice can be a valuable tool to enhance field-specific PCK within the field of mathematics and technology education subjects. Therefore, the study proposes further investigation of the “9E” instructional model that could be used as field-specific PCK within the fields of mathematics, science and technology.     

Geography pre-service teachers’ pedagogical content knowledge

This paper reports on an exploratory study that investigated the pedagogical content knowledge (PCK) of four Geography pre-service teachers as they completed their final practicum of their Bachelor of Secondary Education programme. It uses Shulman’s (1986, 1987) two categories of PCK as a conceptual framework to identify the participants’ PCK of their Geography teaching. The first type of PCK is teachers’ representations of content that is pedagogically powerful for students; the second type of PCK refers to teachers’ understanding of what makes the learning of specific topics easy or difficult for students. Historically, researchers have tended to focus on the teachers’ representations component of PCK while little evidence-based research has been reported on the second category of PCK. Findings from this study show that all participants demonstrated both types of PCK. This study sheds light on the importance of teacher-educators modelling both types of PCK as both are equally important for pre-service teachers.     

Exploring challenges of assessing pre-service science teachers’ pedagogical content knowledge (PCK)

The purpose of this paper is to report on the challenges we faced in designing an instrument aimed at measuring pre-service science teachers’ topic-specific pedagogical content knowledge (PCK). After the instrument was conceptualised and developed, it was administered to 30 pre-service chemistry teachers. The findings suggest that the instrument can be used as a teaching tool to enhance pre-service science teachers’ topic-specific PCK along with some limitations. The discussion focuses on the implications of the aforementioned PCK assessment tool for enhancing pre-service science teachers’ topic-specific PCK and the challenges associated with measuring and enhancing pre-service science teachers’ PCK. Finally, our discussion focuses on the ways in which science-teacher educators can engage in transforming the concept of PCK and its use for research and professional development.     

A proficiency model for pre-service physics teachers' pedagogical content knowledge (PCK)—What constitutes high-level PCK?

This study identifies proficiency levels in pre-service physics teachers' pedagogical content knowledge (PCK) and reveals how teacher education can promote transitions into higher proficiency. Teacher education plays a fundamental role in supporting pre-service teachers' PCK development. Proficiency levels are a powerful source when evaluating this PCK development because they characterize what learners are likely to be able to know on a specific level. Previous research has presented a model of proficiency levels in pre-service physics teachers' PCK; however, evidence for the model's validity is still lacking. According to the Refined Consensus Model of PCK, factors such as teachers' content knowledge (CK), their teaching experience, and their beliefs about teaching and learning science promote PCK development. Thus, understanding how and when pre-service physics teachers' CK, teaching experience, and beliefs contribute to their proficiency can bring insights into how teacher education can promote PCK development. To address this issue, N = 427 observations of pre-service physics teachers were analyzed. Utilizing the scale anchoring procedure, four different proficiency levels in pre-service physics teachers' PCK were identified. Analyzing these proficiency levels showed that lower levels can be characterized as remembering content-unspecific knowledge, whereas higher levels encompass content-specific strategies to structure and elaborate lessons. Additionally, logistic regression models revealed that pre-service physics teachers' CK is crucial for an increase in PCK proficiency. However, transitions into higher levels of PCK additionally require teaching experience and adequate beliefs about teaching and learning. Thus, our proficiency levels can be used to bring insights into how proficiency in PCK can be supported during teacher education. For example, teacher education should provide courses focusing on the science curriculum and the assessment of student learning to promote pre-service physics teachers' progression in PCK.     

Pre-service and In-service Secondary School Teachers’ Knowledge about Attention-deficit Hyperactivity Disorder (ADHD) and Attitudes toward Students with ADHD

This article reports on a mixed-method inquiry into pre-service and in-service secondary school teachers’ knowledge about Attention-deficit Hyperactivity Disorder (ADHD) and attitudes toward students with this disorder in Hong Kong. The inquiry revealed no differences between pre-service and in-service secondary school teachers concerning their knowledge of ADHD and attitudes toward students with ADHD. It also identified possible sources of participants’ knowledge and a variety of factors underlying their attitudes toward students with ADHD including sociocultural beliefs and working conditions. The findings call for teacher educators to develop better education programmes to support both pre-service and in-service teachers in undertaking the challenging task of teaching students with ADHD.     

融合内容的教学知识之课例研究

借鉴Kahan等的教学过程和基本要素研究框架,以情意原理、序进原理和活动原理作为解析课堂教学的框架,调查师范生融合内容的教学知识的实然水平。师范生的教学水平大致分布在三个等级上,师范生对学与教的理解有明显的缺失。如果师范生对知识的发生发展过程认识较为深刻,那么知识教学的序列安排就与知识发生的历史过程拟合得较好;如果师范生对做数学的一般机制有一定的体会,那么学生思维过程的设计就与历史上人们做数学的活动经验较为相似。数学发生发展的知识是影响师范生课堂教学水平的重要因素之一。     

Upper Secondary Teachers' Knowledge for Teaching Chemical Bonding Models

Researchers have shown a growing interest in science teachers’ professional knowledge in recent decades. The article focuses on how chemistry teachers impart chemical bonding, one of the most important topics covered in upper secondary school chemistry courses. Chemical bonding is primarily taught using models, which are key for understanding science. However, many studies have determined that the use of models in science education can contribute to students’ difficulties understanding the topic, and that students generally find chemical bonding a challenging topic. The aim of this study is to investigate teachers’ knowledge of teaching chemical bonding. The study focuses on three essential components of pedagogical content knowledge (PCK): (1) the students’ understanding, (2) representations, and (3) instructional strategies. We analyzed lesson plans about chemical bonding generated by 10 chemistry teachers with whom we also conducted semi-structured interviews about their teaching. Our results revealed that the teachers were generally unaware of how the representations of models they used affected student comprehension. The teachers had trouble specifying students’ difficulties in understanding. Moreover, most of the instructional strategies described were generic and insufficient for promoting student understanding. Additionally, the teachers’ rationale for choosing a specific representation or activity was seldom directed at addressing students’ understanding. Our results indicate that both PCK components require improvement, and suggest that the two components should be connected. Implications for the professional development of pre-service and in-service teachers are discussed.     

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.     

A multi-year study of pre-service teachers’ literacy practices in the content areas: time epistemologies and indicators of stasis and growth

This three-year study focuses on 42 pre-service teachers’ perspectives on integrating literacy into their content area teaching. Pre-service teachers described time as an influential factor shaping their teaching practices, and, we found, that perceptions of time influenced pre-service teachers’ reported ability and willingness to plan for and enact the implementation of literacy strategies as part of content area lessons. While we noted a number of factors related to time, we were particularly drawn to three time-related factors that signified for pre-service teacher participants’ active roles and agency in how they were enacted in the classroom. Identifying temporal concerns about curriculum, learner response to literacy practices, and use of classroom time to scaffold learning allowed us to specify aspects of participants’ pedagogical content knowledge (PCK) development as well as facets of limited PCK growth. Using time as a theoretical lens to view pre-service teachers’ accounts of literacy practices, we suggest, provides insights into their PCK, specifically indicators of stasis and growth, and understanding about pre-service teacher resistance or acceptance to the infusion of literacy into content area teaching.     

The Development of In-Service Science Teachers’ Understandings of and Orientations to Teaching the Nature of Science within a PCK-Based NOS Course

The nature of science (NOS) has become a central goal of science education in many countries. This study sought an understanding of the extent to which a nature of science course (NOSC), designed according to the conceptualization of pedagogical content knowledge (PCK) for teaching nature of science (NOS), affects in-service science teachers’ understanding and learning of NOS, and their orientations towards teaching it. A qualitative research approach was employed as a research methodology, drawing upon pre- and post-instruction NOS questionnaires, field notes, and in-service teachers’ weekly journal entries and assignments. Open-ended NOS questionnaires, used to assess participants’ understandings of NOS, were analysed and categorized as either informed, partially informed and naive. Other qualitative data were analysed through an inductive process to identify ways in-service teachers engaged and learned in the NOSC. The results indicate that at the beginning of the course, a majority of the in-service science teachers held naive understandings of NOS, particularly with respect to the definition of science, scientific inquiry, and differences between laws and theories. They viewed implicit project-based science and science process skills as goals of NOS instruction. By engaging in the course, the in-service science teachers developed an understanding of NOS and orientations to teaching NOS based on various elements, especially reflective and explicit instruction, role modelling, and content- and non-content embedded instruction. The aim of this study is to help science teacher educators, consider how to support and develop science teachers’ understandings of NOS while being mindful of PCK for NOS, and develop methods for teaching NOS frameworks.     

Development of the instrument of question-answer process (IQAP) and its application in examining salient characteristics between pre- and in-service teachers in senior high school chemistry class

The purpose of this study is to examine the salient characteristics of the ‘Question-Answer Process’ (QAP) in senior high school chemistry class between pre- and in-service teachers. We first developed the ‘Instrument of Question-Answer Process’ (IQAP), and then, applied it to compare salient characteristics of QAP between pre- and in-service teachers. Data collection consists of classroom observation and structured-interview. Participants are seven pre-service and seven in-service chemistry teachers. The results are: (a) Both pre-and in-service teachers ask most of the questions and students ask few questions; (b) Pre-service teachers ask more lower cognitive level questions, while in-service teachers ask more higher cognitive level questions; (c) Pre-service teachers tend to ask non-volunteer students while in-service teachers tend to ask volunteer students to respond; (d) Pre-service teachers tend to be ‘no feedback or ignore’ after students provide answers and both pre- and in-service teachers seldom guide students to reflect on answers; and (e) The frequency of authority of ‘student’ in pre-service teachers’ class is much higher than those in in-service teachers’ class, while the frequency of authority of ‘teacher and student’ is much lower than those of in-service teachers’ class.     

Development of evidence-based,student-learning-oriented rubrics for pre-service science teachers’ pedagogical content knowledge

ABSTRACT

This paper offers pedagogical content knowledge (PCK) rubrics, that is, guides providing criteria for grading that are potentially applicable to a range of science topics and levels of teacher experience. Grading criteria applied in the rubrics are based on qualitative analyses of planned topic-specific professional knowledge (TSPK) and content knowledge (CK). Data were collected via three topic-specific vignettes from 239 pre-service science teachers (PSTs) starting a university-based, full-time, one year teacher education programme in England. The statements were analysed for TSPK and CK. PSTs’ statements proposed instructional strategies comprising demonstrations, explanations, illustrations and analogies, classified as Relevant to the science topics, others Irrelevant. Some Relevant strategies missed an aspect that may, if enacted, help students’ learning, so were judged Incomplete. Statements were also analysed for evidence of relevant and correct CK. CK and TSPK statements are aligned into grids, creating PCK rubrics. These demonstrate the precise nature of knowledge likely to lead to instruction that impacts positively on student learning. The rubrics present the possibility of PCK repertoires that contribute clarity and precision to teaching instruction. Although findings cannot be generalised, the methodology offers a strategy for supporting out-of-field teachers, and those seeking instructional strategies to add to existing repertoires.     

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.     

How teachers perceive their expertise: The role of dimensional and social comparisons

Teachers' self-concepts have shown correlations with the effectiveness of their teaching, but we know little about the development of their self-concepts. According to the generalized internal/external frames of reference (GI/E) model, social and dimensional achievement comparisons may affect not only students’ but also pre-service teachers’ self-concepts. Thus, we extended and applied this model to examine relations between estimates and self-concepts of 430 pre-service biology teachers’ professional knowledge in three domains: content knowledge (CK), pedagogical content knowledge (PCK), and pedagogical and psychological knowledge (PPK). Structural equation modelling provided strong support for the GI/E model’s capacity to explain teachers’ self-concepts: with positive paths from CK, PCK, and PPK to the corresponding self-concepts, indicating social comparison effects, and negative paths from CK and PPK test scores to the PPK and CK self-concepts, respectively, indicating dimensional comparison effects. In addition, CK was negatively related with the teachers’ PCK self-concept. The results are discussed in terms of their implications for both teacher education and the proposed GI/E model.     

Effects of biology teachers’ professional knowledge and cognitive activation on students’ achievement

This study examined the effects of teachers’ biology-specific dimensions of professional knowledge – pedagogical content knowledge (PCK) and content knowledge (CK) – and cognitively activating biology instruction, as a feature of instructional quality, on students’ learning. The sample comprised 39 German secondary school teachers whose lessons on the topic neurobiology were videotaped twice. Teachers’ instruction was coded with regard to cognitive activation using a rating manual. Multilevel path analysis results showed a positive significant effect of cognitive activation on students’ learning and an indirect effect of teachers’ PCK on students’ learning mediated through cognitive activation. These findings highlight the importance of PCK in preservice biology teachers’ education. Items of the rating manual may be used to provide exemplars of concrete teaching situations during university seminars for preservice teacher education or professional development initiatives for in-service teachers.