Exploration of the contribution of teachers’ knowledge about reading to their students’ improvement in reading

Recent studies of elementary teachers’ knowledge about reading have been built on the premise that teachers need thorough knowledge about language and reading processes, but these studies have provided only limited evidence that teachers’ performance on tests of such knowledge contributes to their students’ reading achievement. The present study was designed to examine the contribution of first- through third-grade teachers’ knowledge about early reading to their students’ improvement on tests of word analysis and reading comprehension, controlling for socio-demographic characteristics of students, their prior reading achievement, and teachers’ educational attainment, professional experiences, and socio-demographic characteristics. Preliminary analyses indicated that the test of teachers’ knowledge had adequate psychometric characteristics. However, performance on this measure of teachers’ knowledge did not significantly explain students’ improvement on the two reading subtests. The complexity of the factors that influence teachers’ knowledge acquisition and the context in which the study was carried out offer possible explanations for these results. In addition, teachers’ content knowledge about reading might not be closely associated with the practices they use in reading instruction, and therefore might not be significantly related to their students’ improvement in reading over a year.

Prediction assessments: Using video-based predictions to assess prospective teachers’ knowledge of students’ mathematical thinking

In order to evaluate the effectiveness of an experimental elementary mathematics field experience course, we have designed a new assessment instrument. These video-based prediction assessments engage prospective teachers in a video analysis of a child solving mathematical tasks. The prospective teachers build a model of that child’s mathematics and then use that model to predict how the child will respond to a subsequent task. In this paper, we share data concerning the evolution and effectiveness of the instrument. Results from implementation indicate moderate to high degrees of inter-rater reliability in using the rubric to assess prospective teachers’ models and predictions. They also indicate strong correlation between participation in the experimental course and prospective teachers’ performances on the video-based prediction assessments. Such findings suggest that prediction assessments effectively evaluate the pedagogical content knowledge that we are seeking to foster among the prospective teachers.     

Student teachers’ pedagogical content knowledge for teaching systems thinking: effects of different interventions

ABSTRACT

Systems’ thinking has become increasingly relevant not only in education for sustainable development but also in everyday life. Even if teachers know the dynamics and complexity of living systems in biology and geography, they might not be able to effectively explain it to students. Teachers need an understanding of systems and their behaviour (content knowledge), and they also need to know how systems thinking can be fostered in students (pedagogical content knowledge (PCK)). But the effective development of teachers’ professional knowledge in teaching systems thinking is empirically uncertain. From a larger study (SysThema) that investigated teaching systems thinking, this article reports the effects of the three different interventions (technical course, didactic course and mixed course) in student teachers’ PCK for teaching systems thinking. The results show that student teachers’ PCK for teaching systems thinking can be promoted in teacher education. The conclusion to be drawn from our findings is that a technically orientated course without didactical aspects seems to be less effective in fostering student teachers’ PCK for teaching systems thinking. The results inform educators in enhancing curricula of future academic track and non-academic track teacher education.     

Measuring teachers’ content knowledge of language and reading

In the context of a longitudinal, four-year study of reading instruction in low-performing, high-poverty urban schools, we surveyed teacher knowledge of reading-related concepts, and established a modest predictive relationship between teachers’ knowledge, classroom reading achievement levels, and teachers’ observed teaching competence. There were significant associations among these variables at the third and fourth grade levels. To obtain this result, measures of teacher content knowledge in language and reading were refined in a three-stage process. Our purpose was to explore the type and level of questions that would begin to discriminate more capable from less capable teachers, and that would have a predictive relationship with student reading achievement outcomes. After experimenting with measurement of K-2 teachers’ content knowledge (Form #1), we piloted a Teacher Knowledge Survey with 41 second and third grade teachers in one study site (Form #2). We then refined and expanded the Survey (Form #3) and administered it to 103 third and fourth grade teachers in both project sites. Teachers’ misconceptions about sounds, words, sentences, and principles of instruction were pinpointed so that professional development could address teachers’ needs for insight and information about language structure and student learning.     

Developing preschool teachers’ knowledge of students’ number conceptions

This article describes a study that investigates preschool teachers’ knowledge of their young students’ number conceptions and the teachers’ related self-efficacy beliefs. It also presents and illustrates elements of a professional development program designed explicitly to promote this knowledge among preschool teachers. Results indicated that teachers’ knowledge of students’ number conceptions improved and that their related self-efficacy increased. Furthermore, prior to participating in the programs, a significant negative correlation between knowledge and self-efficacy was reported. However, no significant correlation was found after the program.     

Using collaborative technology to enhance pre-service teachers’ pedagogical content knowledge in Science

Groups of 11‐year‐olds in their first term at secondary school were given three cognitive tests. Girls and boys were found to be approximately equal in science knowledge. Boys did slightly better on tests of physical science, especially when these were in multiple choice form, but otherwise there were few sex differences. Neither the style of the question (multiple choice or structured) nor the content (feminine or masculine) had any great effect on sex differences in performance. However, boys performed markedly better than girls on tests of spatial ability and mechanical reasoning. These skills may be important for later success in technical studies at school.     

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.     

Fostering the use of pedagogical practices among teachers to support elementary students’ motivation to write

Based on self-determination theory, this research aimed at evaluating the effectiveness of the CASIS professional development (PD) program for fostering (1) teachers’ use of five recommended pedagogical practices during a writing lesson and (2) students’ motivational resources (intrinsic, identified, and controlled regulations) toward writing. Two quasi-experimental studies with two-time points were conducted among preservice (Study 1, n = 32) and inservice (Study 2, n = 111) elementary teachers and their students (Study 1, n = 559; Study 2, sample 1, n = 1779; sample 2, n = 1471). In both studies, the CASIS PD program appeared to foster the use of two of the five recommended pedagogical practices. For the other three, some effects were observed in one study but were not always reproduced in the other. Although the CASIS PD program fostered greater use of the pedagogical practices, this effect did not always translate directly to the students’ motivational resources. However, some significant differences were observed between students of the CASIS and the control groups on identified and controlled regulations, as a function of the socioeconomic background of the schools in which teachers and students were sampled. The results are discussed in light of past research and relevant theories.     

Development and use of a test instrument to measure biology teachers’ content knowledge (CK) and pedagogical content knowledge (PCK)

Research on teachers’ professionalism and professional development has increased in the last two decades. A main focus of this line of research has been the cognitive component of teacher professionalism, i.e., professional knowledge. Most of the previous studies on teacher knowledge—such as the Learning Mathematics for Teaching (LMT) (Hill et al. 2004), the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students´ Mathematical Literacy (COACTIV) (Baumert et al. 2010), and the Mathematics Teaching in the 21st Century (MT21) (Schmidt et al. 2007) studies—have been conducted in the field of mathematics teachers’ pedagogical content knowledge (PCK) and content knowledge (CK). There have been few comparable studies conducted with science teachers, especially biology teachers. To fill the gap, this study examines the development and use of instruments to measure biology teachers’ CK and PCK. In particular, this study describes a method to develop reliable, objective, and valid instruments measuring teachers’ CK and PCK in four steps by the use of empirical data of students. Additionally, the study explores whether CK and PCK might be measured as separate knowledge categories by using a paper-and-pencil test. This paper presents a theoretical model that guides test development and provides steps to develop and validate the instruments. Details are also provided regarding the computation of the Rasch scale score measures for 158 biology teachers. The results indicate that the instruments measured teachers’ CK and PCK in an objective, valid, and reliable way. This suggests that the new instruments can be used in combination with classroom observations to examine teaching quality and further its relation to student learning.     

Exploring teachers’ perceived self efficacy and technological pedagogical content knowledge with respect to educational use of the World Wide Web

Research in the area of educational technology has claimed that Web technology has driven online pedagogy such that teachers need to know how to use Web technology to assist their teaching. This study provides a framework for understanding teachers’ Technological Pedagogical Content Knowledge-Web (TPCK-W), while integrating Web technology into their pedagogical practice. Furthermore, contemporary educational researchers have highlighted the significance of teachers’ self-efficacy, conceptualized as the teachers’ perceptions of their own competence at teaching, and related to instructional strategies as well as teaching effectiveness. The major purpose of this study was to investigate teachers’ perceived self-efficacy in terms of their TPCK-W. This study aimed to develop a new questionnaire, namely the Technological Pedagogical Content Knowledge-Web (TPCK-W) Survey to explore teachers’ self-efficacy in terms of their TPCK-W, and additionally to assess their attitudes toward Web-based instruction. The participants in this study were 558 teachers from elementary school to high school level in Taiwan. Both exploratory and confirmatory factor analyses indicated that the TPCK-W survey developed in this study has satisfactory validity and reliability characteristics. The results indicate a lack of general knowledge about Web-related pedagogy amongst the teachers surveyed. The correlations between teachers’ self-efficacy in terms of their TPCK-W, their attitudes regarding Web-based instruction, and their background variables were also examined. Correlations were found between self-efficacy and positive attitudes to web-based instruction. Older and more experienced teachers were found to have lower levels of self-efficacy with respect to TPCK-W, though teachers with more experience of using the web (including for instruction) had higher levels of self-efficacy with respect to TPCK-W.     

Pre-service secondary teachers’ pedagogical content knowledge for the teaching of mathematical modelling

Educational Studies in Mathematics - The article deals with the pedagogical content knowledge of mathematical modelling as part of the professional competence of pre-service teachers. With the help...     

Preservice elementary school teachers’ knowledge of fractions: a mirror of students’ knowledge?

This research analyses preservice teachers’ knowledge of fractions. Fractions are notoriously difficult for students to learn and for teachers to teach. Previous studies suggest that student learning of fractions may be limited by teacher understanding of fractions. If so, teacher education has a key role in solving the problem. We first reviewed literature regarding students’ knowledge of fractions. We did so because assessments of required content knowledge for teaching require review of the students’ understanding to determine the mathematics difficulties encountered by students. The preservice teachers were tested on their conceptual and procedural knowledge of fractions, and on their ability in explaining the rationale for a procedure or the conceptual meaning. The results revealed that preservice teachers’ knowledge of fractions indeed is limited and that last-year preservice teachers did not perform better than first-year preservice teachers. This research is situated within the broader domain of mathematical knowledge for teaching and suggests ways to improve instruction and student learning.     

Elementary teachers’ science subject matter knowledge across the teacher career cycle

Although widely touted as important, there is little evidence regarding the influence of teaching experience on elementary teachers' science subject matter knowledge (SMK). To better understand this phenomenon, we administered an assessment of science topics taught in the fifth and sixth grades to 169 preservice teachers, 231 fifth-grade teachers, and 208 sixth-grade teachers. We then compared the mean scores of teachers at different stages in the career cycle using one-way and two-way ANOVA and explored the relationship between SMK scores and years of teaching experience using regression analysis. Findings indicate that (i) being assigned to a specific grade level had an impact on teachers' SMK for topics included in the grade level, (ii) teachers' SMK scores were lower later in their careers for both science topics they had never taught and for science topics they were responsible for teaching, and (iii) results differed for fifth and sixth grades. This study adds to the existing literature through the examination of a large sample of elementary teachers, with teachers of varying years of experience, while focusing on the science topics these teachers are responsible for teaching. The results of this study provide strong evidence that (i) years of experience teaching specific science topics is associated with the development of teachers' knowledge of these topics, and (ii) teaching experience, what teachers do in the context of their everyday practice, can be an effective means of self-directed learning for teachers. There is also evidence that this influence is not uniform across years of teaching experience or science topics taught. These findings raise important implications about future research into the mechanism of SMK development through teaching experience and teacher grade-level assignments.     

An exploratory study of pre-service middle school teachers’ knowledge of algebraic thinking

Using algebraic habits of mind as a framework, and focusing on thinking about functions and how they work, we examined the relationship between 18 pre-service middle school teachers’ ability to use the features of the algebraic thinking (AT) habit of mind “Building Rules to Represent Functions” and their ability to recognize and interpret the features of the same AT habit of mind in middle school students. We assessed the pre-service teachers’ own ability to use the AT habit of mind Building Rules to Represent Functions by examining their solutions to algebra-based tasks in a semester-long mathematics content course. We assessed the pre-service teachers’ ability to recognize and interpret students’ facility with the AT habit of mind Building Rules to Represent Functions by analyzing their interpretations of students’ written solutions to algebra-based tasks and their ability to plan and analyze AT interviews of middle school students during a concurrent field-based education course. The data revealed that the pre-service teachers had a limited ability to recognize the full richness of algebra-based tasks’ potential to elicit the features of Building Rules to Represent Functions in students. The pre-service teachers’ own overall AT ability to Build Rules to Represent Functions was related to their ability to recognize the overall ability of students to Build Rules to Represent Functions, as exhibited during one-on-one interviews, but not to their ability to recognize the overall ability to Build Rules to Represent Functions exhibited exclusively in students’ written work. Implications for mathematics teacher education are discussed.     

Collaboration and the growth of teachers’ knowledge

Studies of teachers working together have exposed the capricious nature of collaborative activity: sometimes it seems to work well; at other times collaboration actually works against improvement. Success in collaborative relationships is best understood through an appreciation of how teachers form and use knowledge. The teachers’ knowledge perspective is used in this paper to interpret qualitative data from two successful collaborative relationships in schools. Evidence supports the contention that personal qualities, underscored by mutual trust and respect for knowledge, form the basis for successful relationships in teaching, operating in different ways, for different purposes, for different people. Providing that teachers are approached with respect, collaboration holds promise as a slow (but powerful) path towards educational change.     

The influence of textbooks on teachers’ knowledge of chemical bonding representations relative to students’ difficulties understanding

Background: Textbooks are integral tools for teachers’ lessons. Several researchers observed that school teachers rely heavily on textbooks as informational sources when planning lessons. Moreover, textbooks are an important resource for developing students’ knowledge as they contain various representations that influence students’ learning. However, several studies report that students have difficulties understanding models in general, and chemical bonding models in particular, and that students’ difficulties understanding chemical bonding are partly due to the way it is taught by teachers and presented in textbooks.

Purpose: This article aims to delineate the influence of textbooks on teachers’ selection and use of representations when teaching chemical bonding models and to show how this might cause students’ difficulties understanding.

Sample: Ten chemistry teachers from seven upper secondary schools located in Central Sweden volunteered to participate in this study.

Design and methods: Data from multiple sources were collected and analysed, including interviews with the 10 upper secondary school teachers, the teachers’ lesson plans, and the contents of the textbooks used by the teachers.

Results: The results revealed strong coherence between how chemical bonding models are presented in textbooks and by teachers, and thus depict that textbooks influence teachers’ selection and use of representations for their lessons. As discussed in the literature review, several of the selected representations were associated with alternative conceptions of, and difficulties understanding, chemical bonding among students.

Conclusions: The study highlights the need for filling the gap between research and teaching practices, focusing particularly on how representations of chemical bonding can lead to students’ difficulties understanding. The gap may be filled by developing teachers’ pedagogical content knowledge regarding chemical bonding and scientific models in general.     

On the alignment of teachers’ mathematical content knowledge assessments with the common core state standards

Instruments designed to measure teachers’ knowledge for teaching mathematics have been widely used to evaluate the impact of professional development and to investigate the role of teachers’ knowledge in teaching and student learning. These instruments assess a mixture of content knowledge and pedagogical content knowledge. However, little attention has been given to the content alignment between such instruments and curricular standards, particularly in regard to how content knowledge and pedagogical content knowledge items are distributed across mathematical topics. This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment both between the instruments and between parallel forms within each instrument. The findings indicate that only a small number of items on both instruments are designed to capture teachers’ pedagogical content knowledge and that the majority of these items are focused on curricular topics in the later grades rather than in the early grades. Furthermore, some forms designed for use as pre- and post-assessment of professional development or teacher education are not parallel in terms of curricular topics, so estimates of teachers’ knowledge growth based on these forms may not mean what users assume. The implications of these findings for teacher educators and researchers who use teacher knowledge instruments are discussed.

     

The nature of prospective mathematics teachers’ pedagogical content knowledge: the case of multiplication of fractions

The purpose of this study was to investigate prospective mathematics teachers’ knowledge of common conceptions and misconceptions that sixth and seventh grade students had about multiplication of fractions. In addition, prospective teachers’ knowledge of the sources of these misconceptions and strategies they knew to overcome these misconceptions was examined. Data were collected from 17 Turkish prospective teachers at the end of the spring semester of the 2004–2005 academic year. A case study design was used in which data were collected through the Multiplication of Fractions Questionnaire and semi-structured interviews. The prospective teachers suggested many difficulties that elementary grade level students may have and stated that these difficulties stemmed from students’ lack of formal knowledge and rote memorization of the algorithms. In addition, the prospective teachers suggested many strategies that could be used to overcome these misconceptions or difficulties. These strategies could be grouped under three headings: strategies based on teaching methods, strategies based on formal knowledge of fractions, and strategies based on psychological constructs.