Factors predictive of mathematics achievement in kindergarten,first and third grades: An opportunity–propensity analysis

A secondary analysis of the Early Childhood Longitudinal Study – Kindergarten Sample (N = 17,401) was conducted to determine the factors that are most strongly associated with math achievement during kindergarten, first grade, and third grade. Factors from the following three categories were considered: antecedent factors (e.g., family socio-economic status), opportunity factors (e.g., frequency of being exposed to mathematical content), and propensity factors (e.g., pre-existing mathematics skills). Structural equation modeling showed that math achievement was strongly predicted by a combination of specific propensity, opportunity, and antecedent factors. However, propensity factors were the most important determinants of achievement. The amount of variance accounted for by gender and ethnicity was substantially reduced when other factors in the antecedent, opportunity, and propensity categories were controlled. The implications of the findings for intervention are discussed.     

Do they learn differently? An investigation of the pre-service teachers from US and China

Based on the hypothesis that learning preferences tend to vary over cultures, this study compared and contrasted the learning approaches and learning styles between Chinese and American pre-service teachers in an attempt to know more about the learning/teaching landscapes in these two countries as “teachers teach the way they learned” [Dunn, R., & Dunn, K. (1979). Learning styles/teaching styles: Should they...can they...be matched? Educational Leadership, 36, 243, 238–244]. The results showed significant differences between the two groups in deep and surface-learning approaches as well as kinesthetic and visual learning styles. The underlying cultural backgrounds and social–economic factors accounting for the differences were discussed and the implications for teaching and learning enhancement in teacher education were explored.     

Characteristics of teachers’ choice of examples in and for the mathematics classroom

The main goal of the study reported in our paper is to characterize teachers’ choice of examples in and for the mathematics classroom. Our data is based on 54 lesson observations of five different teachers. Altogether 15 groups of students were observed, three seventh grade, six eighth grade, and six ninth grade classes. The classes varied according to their level—seven classes of top level students and six classes of mixed—average and low level students. In addition, pre and post lesson interviews with the teachers were conducted, and their lesson plans were examined. Data analysis was done in an iterative way, and the categories we explored emerged accordingly. We distinguish between pre-planned and spontaneous examples, and examine their manifestations, as well as the different kinds of underlying considerations teachers employ in making their choices, and the kinds of knowledge they need to draw on. We conclude with a dynamic framework accounting for teachers’ choices and generation of examples in the course of teaching mathematics.

How do teachers learn in the workplace? An examination of teacher learning activities

In this study, two data collection instruments were used to examine how Dutch secondary school teachers learn in the workplace. Firstly, they completed a questionnaire on their preferences for learning activities on two occasions. Secondly, during the intermediate period, they reported learning experiences in digital logs. Results of both instruments indicate that teachers often learn by critical individual reflection and by involving colleagues in particular challenging or problematic situations. An additional finding concerns the reporting of sequences of learning activities in the digital logs which is clearly different from the focus on single learning activities as found in most literature and as used in the questionnaire. Furthermore, the digital logs provided a fine‐tuning of the concepts of ‘involvement of colleagues’ and ‘experimentation’ in relation to teacher learning. The study concludes with a critical reflection on both data collection instruments. Finally, implications for future research on how teachers learn are discussed.     

An examination of teachers’ perceptions and practice when teaching large and reduced-size classes: Do teachers really teach them in the same way?

Class size research suggests that teachers do not vary their teaching strategies when moving from large to smaller classes. This study draws on interviews and classroom observations of three experienced English language teachers working with large and reduced-size classes in Hong Kong secondary schools. Findings from the study point to subtle differences between teachers’ perceptions and their subsequent classroom practice. Implications for professional practice and development are presented.     

Socio‐cultural‐historical constructivism in the preparation and practice of early childhood teachers in New Delhi,India

Abstract

The author conducted a study with early childhood educators in New Delhi to understand the teachers’ perceptions of the relationship between their preparation and practice within a theory‐practice framework. The research problem emanated from the observations and experiences of the author, indicating an existing three‐way tension between the design of current Indian teacher education programs, the dominant discourse of early childhood education, and the underlying values of Indian philosophy that defined the construct of the teacher and child in Indian society.     

An examination of US first-year teachers’ risk for occupational stress: associations with professional preparation and occupational health

Previous research has demonstrated associations between teacher stress and occupational burnout, but few studies have attempted to operationalize a central tenet of most stress theories, namely that teachers’ appraisals of their classroom demands vis-à-vis their classroom resources is a central driver of vulnerability to stress. The research is particularly silent on risk for stress among the most vulnerable workers in the education sector – first-year teachers. The current study, utilizing data from the US National Center for Education Statistics Beginning Teachers Longitudinal study, sought to replicate prior research, conducted with more experienced US teachers, demonstrating that perceptions of classroom demands and resources can be used to classify new teachers according to their risk for stress. In an extension to previous analyses, the current study also examined the association between first-year teachers’ risk for stress and professional preparation. Results from this study aligned with previous findings, teachers classified at risk for stress reported more burnout symptoms (d = 1.48) and less classroom control (d = .62). Teacher education characteristics and exposure to first-year support programming were also found to be associated with first-year teachers’ risk for stress classification. Findings have implications for how US teacher education potentially shapes first-year teachers’ appraisal of their working conditions and corresponding risk for stress.     

Provision of in-service training of mathematics and science teachers in Botswana: teachers’ perspectives

Teaching is a field that is dynamic, with innovations necessitating upgrading of skills and education of teachers for the successful implementation of reforms. The behaviour and attitudes of teachers towards teaching and learning and their knowledge banks are the result of the impact of in-service training. This study investigated the perceptions of mathematics and science teachers in Botswana towards in-service provision by the Department of Mathematics and Science Education In-service Training unit (DMSE-INSET), whose mandate is to improve the quality of teaching by supporting teachers through training programmes that enable them to take ownership of their professional development. Data were collected from a sample of 42 senior Mathematics and Science secondary school teachers, using structured interviews with open-ended questions, which were analyzed qualitatively. The findings show that teachers’ concerns included the lack of impact of current in-service training programmes on the education system, no regular follow-up activities to support the one-off workshops and insufficient skills acquired to sustain the implementation of the strategies solicited by the workshops.     

Biography and social structure in the socialization of student teachers: a re‐examination of the pupil control ideologies of student teachers

This study examined the effects of the student teaching experience on the pupil control ideologies of student teachers and attempted to assess the relative contributions of biography and social structure in determining student teacher attitudes toward pupil control. The subjects were forty elementary student teachers from one midwestern university. The results indicated that student teachers did not become more custodial in their views toward pupil control by the end of the experience. Furthermore, cooperating teachers exerted little influence on student teacher pupil control ideologies once the effects of biography were removed. It was concluded that biography does play an important part in the socialization of student teachers and that future research on student teaching should consider the effects of biography and social structure together within an interactive model of socialization. Finally, the limitations of focusing exclusively on student teacher ideologies are discussed and the concept of perspectives is offered as a potentially heuristic tool for overcoming these limitations.     

An investigation of prospective secondary mathematics teachers’ conceptual knowledge of and attitudes towards statistics

The development of statistical literacy is fast becoming the focus of a large part of mathematics instruction at primary, secondary and tertiary levels. This broadening of the mathematics curriculum to encompass a focus on statistics makes considerable demands on teachers. Most mathematics teachers acknowledge the practical importance of statistics and are willing to give more relevance to the teaching of statistics; however, many mathematics teachers do not consider themselves well prepared to teach statistics. The aims of this study were to investigate the conceptual understanding of statistics of prospective secondary mathematics teachers; the nature of their attitudes towards statistics and if there was a relationship between attitude towards statistics and conceptual understanding of statistics. Conceptual understanding was measured using a standard assessment instrument (comprehensive assessment of outcomes in a first statistics course) which allows comparison across other disciplines. Despite being very mathematically able and confident, the prospective mathematics teachers in this study do no better in the assessment than students from other (mostly non-quantitative) disciplines. This, perhaps, gives further evidence that statistical thinking is different from mathematical thinking and that a strong background in mathematics does not necessarily translate to statistical thinking. Conceptual knowledge was poor in some fundamental areas of statistics such as being able to properly describe the distribution of a quantitative variable and data production. The attitudes of these teachers towards statistics were measured using a widely used instrument (survey of attitudes towards statistics). The results indicate generally positive attitudes but an acknowledgement that statistics is not a subject quickly learned by everyone and requires discipline to learn. No strong correlation was found between attitudes and conceptual knowledge. It is recommended that in order to improve teacher knowledge, teacher education programmes must include tailored modules in statistics and highlight the differences between mathematical and statistical thinking.     

Teaching writing in grades 4–6 in urban schools in the Greater China Region

A random sample of 1102 grade 4–6 Chinese language arts teachers in Beijing, Macao, and Taipei City were surveyed about their instructional writing practices. Seventy-eight percent (n = 857) of the teachers completed the survey. Teachers were generally positive about the usefulness of their college teacher preparation program. They slightly agreed that they liked to write, teach writing, and were effective writing teachers. Their beliefs about writing were related to the instructional practices they reportedly applied, and textbooks along with school guidelines played a prominent role in shaping their overall writing program. Teachers’ programs emphasized product-based instruction, but also placed considerable emphasis on writing process and content. They further indicated an average writing class lasted 69 min, but almost 80 % of teachers indicated they taught writing only once every 2–4 weeks, raising a concern about amount and timing of writing instruction. Consistent with social/cultural theory, Chinese writing teachers in these three urban locations evidenced differences on almost every variable studied. We expected such differences as macro-level features involving government and educational policy varied across locations. The observed differences were mostly a matter of degree (i.e., teachers applied certain practices more or less frequently) versus a more general difference in how writing was taught.     

Student teachers’ patterns of reflection in the context of teaching practice

This study clarifies the basic structure of student teachers’ reflective thinking. It presents a constructivist account of teacher knowledge through a detailed analysis of various patterns of reflection in student teacher portfolios. We aim to gain a greater understanding of the process and outcomes of portfolio writing in the context of teaching practice. By closely analysing portfolio texts, we defined six main starting points for reflective episodes and several patterns under each of them. Also, the patterns of reflective episodes were analysed according to their deductive and inductive dimensions, together with their static and dynamic features. According to our results, it is possible that student teachers can reflect beyond solely practical issues on teaching, articulate multiple concerns about practice and elaborate them in an integrative manner as well as learn both from theory and from practice as a result of reflection for their future profession.     

Balancing power in communities of practice: An examination of increasing student voice through school-based youth–adult partnerships

This article examines how power imbalances influence the formation of student voice initiatives, which are defined as school-based youth–adult partnerships that consist of youth and adults contributing to decision making processes, learning from one another, and promoting change. Using the concept of community of practice as a lens, the paper examines the ways in which power influences the mutual engagement, shared repertoire, and joint enterprise of youth–adult partnerships. Specifically, the study finds that the following strategies can strengthen student voice initiatives: building meaningful roles based upon mutual responsibility and respect among all members; developing shared language and norms, and developing joint enterprises aimed at fostering voices that have previously been silenced from decision making and knowledge-building processes.

Chinese upper elementary school mathematics teachers�� attitudes towards the place and value of problematic word problems in mathematics education

Word problems play a crucial role in mathematics education. However, the authenticity of word problems is quite controversial. In terms of the necessity of realistic considerations to be taken into account in the solution process, word problems have been classified into two categories: standard word problems (S-items) and problematic word problems (P-items). S-items refer to those problems involving the straightforward application of one or more arithmetical operations with the given numbers, whereas P-items call for the use of real-world knowledge and real-life experience in the problem-solving process. This study aims to explore how Chinese upper elementary school mathematics teachers think of the place and value of P-items in the elementary mathematics curriculum.     

Using representations of practice to elicit mathematics teachers’ tacit knowledge of practice: a comparison of responses to animations and videos

This study compared conversations among groups of teachers of high school geometry that had been elicited by a representation of instruction (either a video or an animation) and facilitated with an open-ended agenda. All artifacts used represented instruction scenarios that departed from what, according to prior work, had been hypothesized as normative. We used as the dependent variable the proportion of modal statements about instructional practice made by a group, which we argue is a good quantitative indicator that the statement appeals to the group’s knowledge of the norms of practice. Animations and videos produced similar proportion of modal statements, but the types of modal statements differed—with animations being associated with more statements of probability and obligation and videos being associated with more statements of inclination. Overall, the results suggest that animations are just as useful as videos in eliciting these sorts of orientational meanings.     

Learners＇ and teachers＇ conceptions and dispositions of mathematics from a Middle Eastern perspective

The paper discusses an on-going research project that studies students＇ and teachers＇ conceptions and dispositions of mathematics. Conceptions are the views that students hold on a subject, and what they believe is required in learning and doing the subject. Dispositions are the beliefs or tendencies to exhibit a frequent, conscious and voluntary behavior directed towards learning a subject. The participants are high school students, higher education students and mathematics teachers. The study utilizes self-reporting tools as well as focus groups and interviews in a three-stage research model. This is a work on progress. Results to date are briefly discussed.     

Grounding practice in scholarship,grounding scholarship in practice: Knowledge of a mathematics teacher educator–researcher

Despite the acknowledged complexity of the expertise of teacher educators (Cochran-Smith, M. (2003). Learning and unlearning: the education of teacher educators. Teaching and Teacher Education, 19, 5--28), there is limited research attending to what teacher educators need to know and how they develop this expertise. This self-study draws from multiple frameworks of teacher knowledge to investigate knowledge content, structure, and growth of a novice mathematics teacher educator-researcher (MTE-R) from her doctoral program into her third year of a tenure-track faculty position at a large southwestern United States university. Narrative inquiry was used to both examine past artifacts and create new data. The findings highlight how the multiple roles of MTE-Rs elicit different kinds of knowledge and how frameworks for studying mathematics teachers can be utilized for studying teacher educator-researchers.     

Investigating the effects of peer instruction on preservice mathematics teachers’ achievements in statistics and probability

This study investigated the effects of two different accountability scoring mechanisms (ASMs), which were used during the peer instruction (PI) process, on preservice middle school mathematics teachers’ (PSTs) achievements in statistics and probability. In the spring semester of 2016–2017 academic year, 46 third-year PSTs, who had been attending a statistics and probability course, participated in the study. Based on their pre-test scores, the PSTs were randomly divided into two equally achieving groups (Group 1 and Group 2). The data of this study were collected using an academic achievement test and PI and course evaluation forms. A learning management system (LMS), which was a web-based application designed by the first author, was used in collecting the PSTs’ responses to the given conceptual questions. Two different ASMs were used in calculating the PSTs’ PI scores. The findings showed that the PSTs in Group 1 obtained significantly higher overall academic, PI, and post-test scores than the PSTs in Group 2. Therefore, the PSTs’ PI and overall academic achievement scores differed based on the ASM used. Thus, using an ASM during a PI process found to be effective in increasing the PSTs’ engagement in the peer discussion. Finally, the analysis of the PSTs’ opinions regarding to the PI, learning process, and learning environment indicated their overall satisfaction.     

An examination of Chinese preservice and inservice early childhood teachers’ perspectives on the importance and feasibility of the implementation of key characteristics of quality inclusion

The Chinese Preschool Inclusion Survey, which is an adaptation of Odom et al. [2004. ‘Preschool inclusion in the United States: A review of research from an ecological systems perspective’. Journal of Research in Special Educational Needs 4 (1): 17–149] a list of the features of quality preschools, was given to 234 preservice teachers and 307 inservice teachers in a large Chinese province so as to examine whether early childhood education (ECE) teachers agree on the key characteristics of high quality inclusion in terms of importance and feasibility. One significant finding of the study is that both preservice and inservice teachers highly ranked the importance of the key characteristics of high quality inclusion in ECE settings, yet both ECE teachers ranked the feasibility of implementing the key characteristics lower. Additionally, two factors that influenced preservice teachers’ perceived importance and feasibility of inclusion were years of study and courses related to special education, and five factors that influenced inservice teachers’ perceived inclusion beliefs were bianzhi, certification, years of teaching, opportunities for professional development and degree. Teacher education reform is called upon to affect change in terms of creating positive beliefs regarding high quality inclusion services and implementation of effective practices in stronger, collaborative support systems for Chinese children with special needs and their families. Implications for policy, professional development, and teacher education reform are provided.