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1.
Julie Amador 《International Journal of Science and Mathematics Education》2016,14(1):217-241
The focus on professional noticing in mathematics education has recently gained increased interest as researchers work to understand how and what is noticed and how this translates into practice. Much of this work has focused on the professional noticing practices of inservice teachers and preservice teachers, with less attention focused on those educating teachers. This research explores how novice mathematics teacher educators professionally notice as they engage in teaching experiments and create models of student’s mathematical thinking. Findings indicate the novice teacher educators are including some evaluative comments in their professional noticing practices but lack in-depth interpretive analysis about student thinking and rarely make connections between student’s thinking and the broader principles of teaching and learning. These findings provide evidence for the importance of supporting teacher educators with developing their abilities to professionally notice. 相似文献
2.
Kooloos Chris Oolbekkink-Marchand Helma van Boven Saskia Kaenders Rainer Heckman Gert 《Journal of Mathematics Teacher Education》2022,25(4):453-477
Often, mathematics teachers do not incorporate whole-class discourse of students’ various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students’ thinking and develop their collective construction of mathematics. This study explores the decision-making patterns of five experienced Dutch mathematics teachers during their novice attempts at orchestrating whole-class discourse concerning students’ various solution methods. Our goal has been to unpack the complexity of their in-the-moment decision-making during whole-class discourse through lesson observations and stimulated recall interviews. We investigated teacher decision-making adopting a model that combines two perspectives, namely (1) we explored student-teacher interaction with regard to building on student thinking and (2) we explored how the teachers based decisions during such interaction upon their own personal conceptions and interpretation of student thinking. During these novice attempts at orchestrating whole-class discourse, the teachers created many situations for students to articulate their thinking. We found that at certain instances, teachers’ in-the-moment decision-making resulted in opportunities to build on student thinking that were not completely seized. During such instances, the teachers’ decision-making was shaped by the teachers’ own conceptions of the relevant mathematics and by teacher conceptions that centered around student understanding and mathematical goals. Our findings suggest that teachers might be supported in their novice attempts at whole-class discourse by explicit discussion of the mathematics and of their conceptions with regard to student understanding and mathematical goals.
相似文献3.
Michael R. A. Drake 《Studying Teacher Education》2016,12(3):244-266
In some forms of practice-based teacher education, one important task for the teacher educator is to undertake in-the-moment coaching during rehearsals of practice. However, being such a coach is a new role for many teacher educators and requires a different skill set to other forms of teacher educator practice. In addition, there is little literature to which teacher educators can turn when seeking to address the problem of enactment in this context. This article seeks to address this gap in the literature. It reports a self-study undertaken by one mathematics teacher educator as he learned to coach pre-service teachers on the fly, while in turn they learned to orchestrate whole-class mathematical discussions. It seeks to illustrate how the process of journaling can support the journey of discovery that is the development of new practice. Through consulting the literature and story-telling, a picture is painted of how the educator addressed early concerns such as “what is a coach supposed to do?” and “what should a coach pause a rehearsal to talk about?” and began to master coaching – work that was never routine, but rather situated, adaptive, and responsive. The stories draw from a personal journal of field notes and reflections from such events as student rehearsals, lesson conferences, team meetings, reading student work, and professional reading. Journal entries from 12 rehearsal cycles over four years were consulted. 相似文献
4.
This study explores conceptual links between practice-based teacher education and adaptive expertise, drawing on constructs of teacher noticing and position. We specifically examined debrief discussions following rehearsals, focusing on the experiences of non-rehearsing teachers (NRTs) who participate in rehearsals as students. We propose an emergent model of how debriefs can support NRTs’ development of adaptive expertise, through qualitative analysis of debriefs with secondary mathematics teachers. Debriefs provided opportunities for NRTs to socially construct adaptive expertise through making their experiences public and considering implications for teaching. We discuss ways debriefs contribute to the co-construction of adaptive expertise in practice-based teacher education. 相似文献
5.
Andrew M. Tyminski V. Serbay Zambak Corey Drake Tonia J. Land 《Journal of Mathematics Teacher Education》2014,17(5):463-487
This paper examines a series of instructional activities that provide prospective elementary teachers with an opportunity to engage in one of the more difficult practices to learn within mathematics teaching—organizing a mathematical discussion. Within a mathematics methods course, representations and decomposition of practice built from the Five Practices framework (Smith and Stein in Five practices for orchestrating productive mathematics discussions. Corwin Press, Thousand Oaks, CA, 2011) were implemented and studied to examine how prospective elementary teachers set goals, selected and sequenced available student work, and planned questions within a mathematical discussion. We examined prospective elementary teachers’ strengths and weaknesses in these facets through an approximation of practice set in a lesson context familiar to the prospective elementary teachers. Our results demonstrated that although prospective elementary teachers set varying goals for a discussion, their pedagogical choices in planning their discussion tended to be consistent with the goals they have set. These results support the focused development of prospective elementary teachers’ goal setting as an implication for mathematics teacher educators. 相似文献
6.
Amy E. Ryken 《Journal of Mathematics Teacher Education》2009,12(5):347-364
This documentary account situates teacher educator, prospective teacher, and elementary students’ mathematical thinking in
relation to one another, demonstrating shared challenges to learning mathematics. It highlights an important mathematics reasoning
skill—creating and analyzing representations. The author examines responses of prospective teachers to a visual representation
task and, in turn, their examination of school children’s responses to mathematical tasks. The analysis revealed the initial
tendency of prospective teachers to create pictorial representations and highlights the importance of looking beyond the pictures
created to how prospective teachers use mathematical models. In addition, the challenges prospective teachers face in moving
beyond a ruled-based conception of mathematics and a right/wrong framework for assessing student work are documented. Findings
suggest that analyzing representations helps prospective teachers (and teacher educators) rethink their teaching practices
by engaging with a culture of teaching focused on reading for multiple meanings and posing questions about student thinking
and curriculum materials. 相似文献
7.
Coach learning to help teachers learn to enact conceptually rich,student-focused mathematics lessons
Stein Mary Kay Russell Jennifer Lin Bill Victoria Correnti Richard Speranzo Laurie 《Journal of Mathematics Teacher Education》2022,25(3):321-346
The past decade has witnessed a strong, standards-based call for improving what mathematics is taught and how it is taught. In the USA, districts have hired instructional coaches to help teachers shift their teaching from algorithm-based instruction to instruction that is more student-centered and conceptually focused. The purpose of this study was to contribute to the field’s understanding of (a) the specific coaching practices that help teachers enact more conceptual-based forms of instruction; and (b) how coaches learn to enact those practices. Using a design-based implementation research approach, we trained coaches using a particular model for one-on-one coaching (Content-Focused Coaching); the coaches then worked with teachers to plan lessons aligned with the coaching model. Data consisted of videotapes of pre-lesson conferences that were transcribed and coded according to the model. Analyses of 32 coaches’ practice over a 2-year period suggest that each of the three components of our coaching model (attention to student thinking, pedagogy, and mathematics) demonstrated statistically significant improvement over time. An illustrative analysis of five coaching sessions of one coach revealed a progression over five sessions from planning discussions that stayed at the level of general strategies to more specific conversations about teaching a particular task and then to deeper discussions that integrate attention to mathematical concepts, student thinking, and pedagogical moves. We view this delineation of coach learning as an important first step in laying the groundwork for the design of future coach training.
相似文献8.
This study examines student teachers’ perceptions of teacher education and its contribution to their professional life, when they become novice teachers during their internship period. The sample comprised 97 student teachers in their fourth year of studies for a BEd degree. Data were collected through questionnaires which included both a structured and an open‐ended part, with regard to five aspects of the teaching profession and teacher education: motivation for teaching, conceptions of teaching–learning, roles of teachers, components of teacher education, and agents of training. Prominent among the findings regarding the motivational aspects of teaching, is a perception of the profession as granting intrinsic rewards. Teaching is perceived as according self‐realisation, providing a sense of purpose and mission, and enabling lifelong development. The component perceived as most important to the teacher’s role is delivering universal values. Findings regarding perception of learning–teaching processes reveal a preference for a constructivist approach. 相似文献
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10.
This study presents a qualitative research based on three narratives written by novice mathematics teachers. We examine their unique professional world during their first year of work. The methodology of narrative framework, on which this article is based, helps to gain better understanding of the need for novice mathematics teachers to have pedagogical knowledge. Findings reveal three themes of pedagogical knowledge: the attitude of novice teachers toward students with difficulties in mathematics; parents’ expectations of and involvement with novice mathematics teachers; teacher–student relations. The implications of the findings show that novice mathematics teachers are required to have not only content knowledge of mathematics but also, and above all, pedagogical knowledge. The implications of this study enable reassessment of emphases required in training mathematics teachers, as well as the assistance and support they need, especially as they launch their careers. 相似文献
11.
Linda Shidler 《Early Childhood Education Journal》2009,36(5):453-460
Coaching for increased teacher efficacy (both instructional and self) has been an essential component to various educational
reforms such as No Child Left Behind; Reading First projects and Early Reading First Projects. Those seeking to improve teacher
performance leading to enhanced student outcomes on various state assessments have also incorporated coaching into the methodology.
The purpose of this study was to look at the linkage between hours spent coaching teachers in the classroom for efficacy in
content instruction and child achievements/outcomes. A significant correlation was seen in year one between the time coaches
spent in the classroom and students’ alphabet recognition scores. The coaching model for year one was one that focused coaching
for instructional efficacy in specific content and teaching methods and saw the coaches directly facilitate and support theory
to practice. In year two and three, no significant correlation was found. Year two and three used a coaching model which was
less specific in focus and increased time spent on site with teachers. The implications for coaching practice includes balancing
time between four components to effective coaching; (1) instructing for specific content, (2) modeling techniques and instructional
practices, (3) observing teacher practices and (4) consulting for reflection. 相似文献
12.
Although skilled mathematics teachers and teacher educators often “know” when interruptions in the flow of a lesson provide an opportunity to modify instruction to improve students’ mathematical understanding, others, particularly novice teachers, often fail to recognize or act on such moments. These pivotal teaching moments (PTMs), however, are key to instruction that builds on student thinking about mathematics. Video of beginning secondary school mathematics teachers’ instruction was analyzed to identify and characterize PTMs in mathematics lessons and to examine the relationships among the PTMs, the teachers’ decisions in response to them, and the likely impacts on student learning. These data were used to develop a preliminary framework for helping teachers learn to identify and respond to PTMs that occur during their instruction. The results of this exploratory study highlight the importance of teacher education preparing teachers to (a) understand the mathematical terrain their students are traversing, (b) notice high-leverage student mathematical thinking, and (c) productively act on that thinking. This preparation would improve beginning teachers’ abilities to act in ways that would increase their students’ mathematical understanding. 相似文献
13.
Ora W. Y. Kwo 《Teachers and Teaching》2013,19(2):273-298
Abstract This paper addresses the nature of reflective classroom practice in a setting where action research has been undertaken by both the student teachers and the teaching practice supervisor. It is based on a cross‐case study of the processes through which student teachers learn to teach. Specifically, the analysis focuses on how student teachers reflect on their experiences in learning to teach. The data are based on student teachers’ reported thoughts about their learning over a period of one year. The results contribute to the understanding of reflective classroom practice by highlighting first student teachers’ perceptions about learning to teach and second their reviews on classroom practice. The discussion also adds to the literature on teacher development taken from the novice‐expert research tradition. Accordingly, implications for curriculum development in teacher education are drawn. 相似文献
14.
Anne Christine Hume 《Research in Science Education》2012,42(3):551-565
The challenge of preparing novice primary teachers for teaching in an educational environment, where science education has
low status and many teachers have limited science content knowledge and lack the confidence to teach science, is great. This
paper reports on an innovation involving a sustained simulation in an undergraduate science education course as a mediational
tool to connect two communities of practice—initial teacher education and expert primary science teaching. The course lecturer
and student teachers role-played the expert classroom teacher and primary students (Years 7/8) respectively in an attempt
to gain insights into teaching and learning through authentic activity that models good practice in primary science teaching
and learning. Activity theory was used to help frame and analyse the data. Findings from the first trial indicate that the
simulation was very effective in initiating science pedagogical content knowledge (PCK) development of primary student teachers. 相似文献
15.
Adnan Baki 《Technology, Pedagogy and Education》2013,22(3):343-362
Recent studies have found short in-service teacher education programs are not providing adequate technology experiences to prepare their participants for teaching mathematics with computers. As an alternative to the short-term courses the author has been teaching a two-term mandatory undergraduate course within a mathematics teacher education program since 1995 to train student teachers and to investigate their perceptions on their preparation to use computers in their own teaching. This article describes issues that emerged from the analysis of this undergraduate course. Data were gathered through questionnaires and students' writings about the course activities. Findings indicated that computer literacy appeared to be an important key factor in utilising the course activities successfully. Students who felt prepared made the link between computer-based mathematical activities and school mathematics, and had more experience of using instructional software during the course than others. Findings of this nature can also assist teacher educators as they incorporate information technology into existing pre-service programs. The implications of these results for the designing and implementing of computer-based undergraduate courses and for further research in this field are discussed. 相似文献
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17.
Michael D. Steele Kimberly Cervello Rogers 《Journal of Mathematics Teacher Education》2012,15(2):159-180
Teachers of mathematics orchestrate opportunities for interactions between learners and subject matter. Therefore, mathematics
teachers need rich, multidimensional content knowledge for teaching mathematics, which incorporates knowledge of the subject
matter, students, and teaching. Studying this mathematical knowledge for teaching (MKT) necessitates more than a unidirectional
assessment. In this study, the mathematical knowledge for teaching reasoning and proving of two secondary mathematics teachers
was investigated through classroom observations and clinical assessments. Results indicate that using MKT as a frame for examining
classroom practice, in addition to assessing the MKT a teacher possesses in a clinical setting, provides an in-depth and innovative
method for investigating MKT. The comparison of the two cases also identifies student positioning as a key mediating factor
between MKT and opportunities to learn. Implications for using MKT as a lens for examining practice in teacher education are
discussed. 相似文献
18.
Irene Biza Elena Nardi Theodossios Zachariades 《Journal of Mathematics Teacher Education》2007,10(4-6):301-309
Research often reports an overt discrepancy between theoretically/out-of context expressed teacher beliefs about mathematics and pedagogy and actual practice. In order to explore teacher knowledge in situation-specific contexts we have engaged mathematics teachers with classroom scenarios (Tasks) which: are hypothetical but grounded on learning and teaching issues that previous research and experience have highlighted as seminal; are likely to occur in actual practice; have purpose and utility; and, can be used both in (pre- and in-service) teacher education and research through generating access to teachers’ views and intended practices. The Tasks have the following structure: reflecting upon the learning objectives within a mathematical problem (and solving it); examining a flawed (fictional) student solution; and, describing, in writing, feedback to the student. Here we draw on the written responses to one Task (which involved reflecting on solutions of $ {\left| x \right|} + {\left| {x - 1} \right|} = 0 $ ) of 53 Greek in-service mathematics teachers in order to demonstrate the range of teacher knowledge (mathematical, didactical and pedagogical) that engagement with these tasks allows us to explore. 相似文献
19.
In this study, we report on what types of mathematical knowledge for teaching teachers (MKTT) mathematics teacher educators (MTEs) use and develop when they work together and reflect on their teaching in a Community of Practice while helping prospective primary teachers (PTs) generate their own mathematical knowledge for teaching in learning mathematics via problem solving. Two novice MTEs worked with an experienced MTE and reflected on the process of learning to teach via problem solving and supporting PTs in developing deep understandings of foundational mathematical ideas. Taking a position of inquiry as stance, we examined our experiences teaching mathematics content courses for PTs via problem solving. We found that all of the MTEs used and developed some MKTT through (a) understanding and deciding on the mathematical goals of both the individual lessons and the two-course sequence as a whole, (b) choosing and facilitating tasks, and (c) using questions to scaffold PTs learning and engage them in mathematical processes such as making conjectures, justifying their reasoning, and proving or disproving conjectures. 相似文献
20.
In this study we explored the relationship between teacher enjoyment of teaching mathematics, their attitudes towards student struggle, and the amount of time teachers spent teaching mathematics. Ninety-eight primary educators were surveyed regarding their attitudes and behaviors towards mathematics instruction. Hierarchical regression analyses revealed that teacher enjoyment of teaching mathematics explained variance in both teacher attitudes towards student struggle and instructional time spent on mathematics, even after relevant educator characteristics were accounted for. Findings suggest that teacher enjoyment of teaching mathematics in the early primary years has important implications for both the quality and quantity of mathematics instruction students receive. 相似文献