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1.
Teaching geometry at the elementary level is challenging. This study examines the impact of van Hiele theory-based instructional activities embedded into an elementary mathematics methods course on preservice teachers’ geometry knowledge for teaching. Pre- and post-assessment data from 111 elementary preservice teachers revealed that van Hiele theory-based instruction can be effective in improving three strands of participants’ geometry knowledge for teaching: geometry content knowledge, knowledge of students’ van Hiele levels, and knowledge of geometry instructional activities. As a result, this paper offers implications for teacher educators and policy makers to better prepare elementary preservice teachers with geometry knowledge for teaching. 相似文献
2.
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
3.
This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers’ knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical content knowledge (MPCK) of future teachers in their final year in teacher preparation programs. The purpose of this study is to explore whether elementary teaching candidates’ MCK and MPCK are associated with their opportunities to learn in mathematics courses and mathematics methods courses in five countries. The results showed that opportunities to learn in some teacher preparation components are more important than in other components. 相似文献
4.
Limin Jao 《International Journal of Science and Mathematics Education》2017,15(5):895-914
For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4–10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods course and how the course influenced these beliefs. Surveys were used to measure participants’ mathematics beliefs, and results show that PSTs’ beliefs moved to favor reform-based approaches. Qualitative data complemented the survey results, suggesting that experiencing new approaches and having the opportunity to apply them into practice are important to their development as mathematics teachers. 相似文献
5.
Erin E. Turner Corey Drake Amy Roth McDuffie Julia Aguirre Tonya Gau Bartell Mary Q. Foote 《Journal of Mathematics Teacher Education》2012,15(1):67-82
Research repeatedly documents that teachers are underprepared to teach mathematics effectively in diverse classrooms. A critical
aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and
practices that support building on children’s mathematical thinking, as well as their cultural, linguistic, and community-based
knowledge. This article presents a conjectured learning trajectory for prospective teachers’ (PSTs’) development related to
integrating children’s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children’s mathematics learning—including
children’s mathematical thinking, and children’s cultural, home, and community-based knowledge), in mathematics instruction.
Data were collected from 200 PSTs enrolled in mathematics methods courses at six United States universities. Data sources
included beginning and end-of-semester surveys, interviews, and PSTs’ written work. Our conjectured learning trajectory can
serve as a tool for mathematics teacher educators and researchers as they focus on PSTs’ development of equitable mathematics
instruction. 相似文献
6.
Yingkang Wu Stephen Hwang Jinfa Cai 《International Journal of Science and Mathematics Education》2017,15(7):1365-1384
In this exploratory study, we developed a portrait of the challenges and strategic responses of secondary mathematics teacher educators (MTEs) in Chinese universities. The MTEs reported encountering more challenges when teaching pedagogical courses and supervising student teachers than when teaching college mathematics courses and teaching mathematical problem-solving courses. This finding reflects a key difference between the content, goals, and teaching demands of these 2 elements of mathematics teacher education programs (acting in the role of an MTE versus the role of a mathematics teacher). In this study, we also analyzed the strategies that MTEs use to deal with the challenges that arise in their work and the suggestions they have for the training of future MTEs. 相似文献
7.
Aina K. Appova 《PRIMUS》2018,28(5):409-424
This paper discusses the ways in which teacher educators can effectively engage prospective teachers (PTs) in lesson study during mathematics methods courses. Evidence from this work suggests that engagement in lesson study provides PTs with opportunities to strengthen their knowledge about mathematics, students, and pedagogy. More specifically, the results demonstrated that lesson study helped PTs to engage in deep and thoughtful discussions about mathematics, reflect on their teaching, and make effective changes to their lessons that showed noticeable improvements in student learning. Recommendations from this work provide specific methods-course suggestions on the implementation of lesson study as a model for PTs' professional and practitioner development, including strategies and guiding questions that teacher educators can utilize to help deepen PTs' knowledge about mathematics, teaching, and student learning. 相似文献
8.
9.
《Teaching and Teacher Education》1996,12(4):429-442
In broad terms, this study describes preservice elementary teachers' beliefs, conceptions, and practices during the mathematics methods course and teaching practica of a teacher education program. In particular, the study employs qualitative data to investigate preservice teachers' views of mathematical and pedagogical content knowledge. The study reveals symbiotic relationships between their views of content knowledge and their instructional actions which remain problematic. With unwavering beliefs and practices, and without reconceptualizing their roles as future elementary teachers, at the end of the semester the preservice teachers emerge as poor duplicators of mathematics methods instead of initiators of learning. 相似文献
10.
The challenges facing those who seek to prepare mathematics teachers are well established in the literature. Most of the research to date has focused on the perceptions and understandings of pre-service teachers, but not on the perceptions and understandings of teacher educators. In this study, we explore how four teacher educators understand their pre-service secondary teachers as the pre-service teachers attempt to make sense of teaching through the investigation of a multimedia case study of practice. We found that the teacher educators adopted two different implementation strategies: one strategy tended to be open-ended and exploratory; the other was more focused on the teacher educators' goals of anticipating student understanding and developing mathematical content knowledge for teaching. We also found that, in using the case study, teacher educators elicited pre-service teachers' thinking about the complexities of the teacher's role in small group work, about the value of explicitly revealing the teacher's reflections on the lessons, about the role of planning and preparation, and about the limits of pre-service teachers' abilities to understand and appreciate students' thinking and to extend lesson ideas. Both teacher educators and their pre-service teachers gained perspectives on the role of a teacher's mathematical content knowledge. These results imply that multimedia case studies of practice can serve as vehicles for revealing the knowledge and practice of teacher educators, as they engage in supporting the professional development of pre-service teachers. 相似文献
11.
Eulsun Seung Soonhye Park Ratna Narayan 《Journal of Science Education and Technology》2011,20(6):703-714
This study examined elementary preservice teachers’ beliefs about the role/image of a science teacher and science teaching
and how these beliefs change during an elementary science methods course; this examination was conducted through an analysis
of their metaphor writing. Data included personal metaphors and rationale papers for supporting them collected from 106 participants
at the start and end of the semester. Data were analyzed using the constant comparative method and also quantified for statistical
analysis. Results indicate that most participants came to the course with traditional views and developed more constructivist
views during the course. However, they tended to keep their traditional views and added new constructivist perspectives into
their original belief systems. This study suggests that metaphor writing can be used as both a reflection tool for preservice
teachers to clarify and refine their beliefs about science teaching and learning and a diagnostic assessment tool for teacher
educators to understand their students for tailoring a methods course accordingly. 相似文献
12.
Amy Johnson 《Teachers and Teaching》2013,19(1):97-109
While teacher educators agree that teaching is a profoundly moral activity, little attention has been placed on the moral perspectives about teaching and learning of those entering the teaching workforce. As a way of illustrating the importance of helping both future teachers become aware of their own moral compasses and teacher educators to understand ways in which such knowledge can support their students, I use methods of qualitative inquiry to explore the life history of one European American preservice elementary teacher in the USA. In recounting the events of her life, Rachel Rosenberg demonstrates how she uses her own life experiences to frame the moral aspects of her future role as a teacher and especially her perspectives on literacy teaching and learning. The methods used here to elicit and analyse Rachel’s story can be useful to teacher educators who want to understand how the moral perspectives embedded in teachers’ stories influence the ways in which teachers approach and enact the work of teaching. 相似文献
13.
14.
David Ben-Chaim Yaffa Keret Bat-Sheva Ilany 《Journal of Mathematics Teacher Education》2007,10(4-6):333-340
In this study we created, implemented, and evaluated the impact of proportional reasoning authentic investigative tasks on
the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers.
For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher
education programs conducted in Israeli teacher colleges. The conclusion of the study is that application of the model, through
which the pre-service teachers gain experience of and are exposed to authentic investigative proportional reasoning tasks
with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive
change in the pre-service teachers’ mathematical content and pedagogical knowledge. In addition, improvement occurred in their
attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular. 相似文献
15.
教师教育中数学知识的获得是影响职前小学教师数学知识的主要因素之一,以我国上海师范大学和美国纽约城市大学小学教育专业本科培养的数学课程计划为个案,从数学内容类课程和数学方法类课程两方面研究发现,两国职前小学教师教育中各数学课程在学分要求、教学目标、教学内容和教学方法等方面存在差异。美国职前小学教师本科培养的经验,对我国职前小学教育专业本科培养的数学课程设置与实施应该如何加强联系小学数学课程与教学实际具有一定借鉴。 相似文献
16.
Audrey Amrein-Beardsley Sharon E. Osborn Popp 《Educational Assessment, Evaluation and Accountability》2012,24(1):5-24
Teacher educators piloted the use of the Reformed Teaching Observation Protocol (RTOP), a peer observation instrument associated
with increases in learning in science and mathematics teacher education courses. Faculty participants received a series of
trainings in RTOP use and rated each other’s teaching during multiple peer observations. The purpose of this study was to
investigate whether the RTOP would prove useful for formative and summative purposes across teacher education courses in general.
While participants saw value in the peer observation process and the RTOP instrument, findings suggest that the perceived
formative functions of the RTOP outweighed the instrument’s summative value. 相似文献
17.
One response to the disconnect between principle-based university methods courses and practice-oriented elementary school classrooms has been to create co-learning spaces by bringing prospective teachers (PSTs), practicing mentor teachers (MTs), and teacher educators together to explore key ideas related to teaching and learning. The purpose of this study was to examine MTs’ and PSTs’ perspectives on their experiences in co-learning events designed to maximize co-construction of knowledge that might lessen the gap between theory and practice. Findings from the analysis of interviews with 16 PSTs and 22 MTs included numerous benefits of co-learning events, including opportunities for (a) MTs to learn about PSTs’ world and build relationships; (b) PSTs to learn from MTs’ practical knowledge; and (c) to foster diverse perspectives and mutually beneficial collaboration. Participants also described tensions related to positioning MTs and PSTs in collaborative roles. Implications for the design of co-learning events in teacher education are discussed. 相似文献
18.
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
19.
Kathleen Michelle Clark 《Educational Studies in Mathematics》2012,81(1):67-84
The use of the history of mathematics in teaching has long been considered a tool for enriching students’ mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of research conducted over four semesters in which I sought to characterize what prospective mathematics teachers (PMTs) understand about the topics that they will be called upon to teach in the future and how that teaching might include an historical component. In particular, I focus on how the study and application of the history of solving quadratic equations illuminates what PMTs know (or do not know) about this essential secondary school algebraic topic. Additionally, I discuss how the results signal important considerations for mathematics teacher preparation programs with regard to connecting PMTs' mathematical and pedagogical knowledge, and their ability to engage in historical perspectives to improve their own and their future students' understanding of solving quadratic equations. 相似文献