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1.
In 2001, the Chinese Ministry of Education issued Guidelines for Preschool Education (GPE) (trial version) to call on early childhood practitioners to use a child-centered and play-based approach to teaching and learning. The guidelines also include mathematics within the science domain and described its standards in a way that significantly lessens the teacher’s role as knowledge disseminator. Instead, the guidelines encourage mathematics learning and teaching through play, self-discovery, and problem solving. This qualitative case study examined one kindergarten teacher’s implementation of and associated challenges in delivering mathematics lessons from a newly developed integrated provincial curriculum (PC) and the quality of instruction as influenced by using a curriculum that is organized around thematic units. The analysis of the curriculum, ten videotaped lessons, two teacher interviews, and other supporting documents, such as student work and teacher lesson plans, indicated that the teacher encountered difficulties implementing the PC as intended due to a number of factors, including inadequate curricular resources, incoherency of the curriculum design, and a mismatch between the mathematics standards and curriculum goals and the teacher’s instructional style and teaching philosophy. As a result, the quality of mathematics instruction was poor, especially in the areas of (1) using effective teaching strategies, (2) providing clear and accurate instruction with a positive attitude, (3) engaging students in sustained interactions with mathematical ideas, and (4) offering on-going assessment and feedback. To close, recommendations for curriculum refinement and professional development are provided.  相似文献   

2.
In the past decade, research on learning trajectories has progressed from an agenda for research on student learning to include an agenda for research on teaching. In this paper, we use a design experiment to examine a professional development program created to support teacher learning of one learning trajectory. Using a re-interpretation of Ball and colleagues’ mathematics knowledge for teaching framework, we conducted a retrospective analysis to examine how a purposefully selected sample of three teachers used their knowledge to participate in discussions of the professional learning tasks designed to support teacher learning of the trajectory. Findings indicate that professional learning tasks focusing on pedagogical content knowledge present in learning trajectories also allow for teacher learning of subject matter knowledge; this learning is mediated by teachers’ prior mathematics knowledge for teaching. We conclude with considerations for researchers and professional developers seeking to support teachers in learning about learning trajectories.  相似文献   

3.
The reconceptualization of mathematics teacher education based on current mathematics education reform efforts necessitates the elaboration of theoretical frameworks to guide both the practice of and research on teacher education. The author presents a framework which has been useful in shaping two major mathematics teacher education research and development projects. This framework for mathematics teacher learning builds recursively on a framework for mathematics learning which derives from a social constructivist view of learning and incorporates aspects of French didactical theory using the organizing structure of the Karplus Learning Cycle. The framework can be used to think about the content and organization of a particular lesson or of an entire course or program for teachers. Further, it describes the interconnection between different domains of teacher knowledge.  相似文献   

4.
课程资源是实现数学教学目标的基础和保障,是课程设计、课程实施不可缺少的要素。教师要了解获取数学课程资源的途径,以及对数学课程资源进行分析、评价和加工。  相似文献   

5.
美国《中学数学教与学》是初中年级数学教师教育"数学教学法"课程的教材,其特点表现为:单元主题以数学教学理论为线索呈现,单元内容以具体数学知识为载体展开并且以参与式活动的形式组织教学活动.该教材对我国的数学教师教育有如下启示:数学教师教育课程应以数学知识为载体学习数学教育理论;数学教师教育教材应突出教学方式的示范性,体现做中学,在数学教学活动中学习数学教学方法;数学教师教育应注重教师学科专业素质的提升.  相似文献   

6.
Teachers need to develop the ability to adapt curriculum materials. Two elementary teachers, Maggie and Catie, were asked to write narratives about their use of and changes to particular reform-oriented science lesson plans. Maggie drew on her knowledge of and experiences with students, as well as other knowledge, experiences, and resources, to make productive changes to account for her students’ prior knowledge and abilities. Catie based her curricular adaptations on her learning goals—but these were not aligned with the learning goals of the curriculum materials. The paper discusses implications for teacher education, professional development, and educative curriculum materials.  相似文献   

7.
In this study, we examined the instructional coherence in a Chinese mathematics classroom by analyzing a sequence of four videotaped lessons on the topic of fraction division. Our analysis focused on the characteristics of instructional coherence both within and across individual lessons. A framework was developed to focus on lesson instruction in terms of its content and process and the teacher's use of classroom discourse. The analyses of lesson instruction were further supplemented with the analyses of teaching materials and interviews with the teacher. The findings go beyond previous studies that mainly focused on a single lesson to provide further evidence about Chinese teachers' instructional practices and their possible impact on students' learning. In particular, the teacher tried to help students build knowledge connections and coherence through lesson instruction. Results also suggest that coherent curriculum and the teacher's perception of the knowledge coherence facilitated the teacher's construction of coherent classroom instruction.  相似文献   

8.
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   

9.
In this article, we report on the use of a teacher profiling instrument with 62 middle school teachers at the start of a 3-year professional learning programme. The instrument was designed to assess the aspects of teachers’ knowledge identified by Shulman (1987) refined by Ball et al. (2008) and extended to include teachers’ confidence to use and teach various topics in the middle school mathematics curriculum and their beliefs about mathematics teaching and learning. Based on a hierarchical coding of items, the application of the partial credit Rasch model revealed that the profile items were measuring a single underlying construct and suggested that the various facets of teacher knowledge develop together. We describe the characteristics of four levels of the hierarchical construct measuring teacher knowledge and understanding for teaching mathematics in the middle years of schooling, and discuss the unique affordances of a holistic view of teacher knowledge in contrast to considerations of multiple knowledge categories.  相似文献   

10.
Reform efforts have emphasized the need to support teachers' learning about reform‐oriented practices. Educative curriculum materials are one potential vehicle for promoting teacher learning about these practices. Educative curriculum materials include supports that are intended to promote both student and teacher learning. However, little is known about the extent to which existing curriculum materials provide support for teachers and the ways they can be improved. In this study, eight sets of high school biology curriculum materials were reviewed to determine their potential for promoting teacher learning. Design heuristics for educative curriculum materials were adapted for use as evaluation criteria. From this analysis, several themes emerged. First, the materials tended to provide support for teachers' subject matter knowledge and pedagogical content knowledge for students' ideas (e.g., misconceptions) but rarely for their pedagogical content knowledge of scientific inquiry. Second, the materials contained several implementation guidance supports but far fewer rationales for instructional decisions, which are an important feature of educative curriculum materials. Finally, the quality of support varied widely, differing in its degree of relevance, pedagogical helpfulness, and depth. The article concludes with recommendations for the redesign of existing curriculum materials. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 46: 977–998, 2009  相似文献   

11.
The goal of this paper is to introduce the curriculum strategy framework as a way to characterize teachers’ interactions with curriculum materials. The framework focuses on three key interpretive activities: reading, evaluating, and adapting curriculum materials. Describing an individual teacher’s curriculum strategy involves identifying the manner in which a teacher engages with each of these activities before, during, and after instruction. This paper presents the results of a study in which the framework was used to identify patterns in the curriculum strategies of 10 elementary‐school teachers who were using a reform‐based mathematics curriculum for the first time. It concludes with directions for further research using the curriculum strategy framework, and implications of this work for curriculum designers.  相似文献   

12.
课堂教学设计的好坏直接决定着课堂教学的效果。只有课前的精心预设,才有可能在课堂上实现精彩的生成。但多数小学数学教师的课堂教学设计仍停留在传统意义上"课本知识"的设计层面,缺乏对课程资源、学习情境、学习方式、教师角色、学习群体等多种因素的综合考虑。为此,作为数学教师,只有认真钻研教材,做好"教学设计",才能真正改进课堂教学,有效地提高教师专业水平。  相似文献   

13.
The Development of Teacher Leaders and Inservice Teacher Educators   总被引:1,自引:1,他引:0  
This article discusses the development of teacher leaders and inservice teacher educators whose role it is to promote teacher learning about mathematics teaching in the process of changing school mathematics. The Manor Program for the development of teacher leaders and teacher educators is used as a vehicle for addressing this issue. The article focuses on aspects of curriculum design, discusses the theoretical rationale for the learning opportunities provided by the program, and considers several problematic aspects encountered.  相似文献   

14.
韩国的数学教师职前教育体制有如下特点:类型多样的教师职前培养机构、严格的公立学校数学教师聘任制度、定期的教师教育机构评估制度.小学数学教师教育课程具有综合性、多样化特点;中学数学教师教育课程更重视学科知识.韩国数学教师职前教育对中国的数学教师教育有如下启示:建立多元的办学体制,致力于专业化的数学教师培养;以教师聘任制度和教师教育机构评估制度促进数学教师培养质量的提高;在学科课程和教学法课程之间寻求恰当平衡.  相似文献   

15.
This exploratory article seeks to map out some possible practical limitations of Shulman's notion of pedagogical content knowledge and the associated concept of pedagogical reasoning. Interview extracts are used to illustrate the argument that the views and prior knowledge of a trainee teacher of mathematics may subtly shape what is learned in the context of training. It is suggested that representations of mathematics and mathematics teaching, originating in the trainee's own learning, might be concomitant with the development of a particular style of pedagogical reasoning which then determines the type of pedagogical content knowledge that is acquired. Shulman's framework is useful for understanding the trainee's learning, but insufficient to cover a broader range of pedagogical knowledge that might be deemed desirable in the trained teacher. It is suggested that a wider framework, extending pedagogical content knowledge to incorporate alternative forms of teaching, is needed.  相似文献   

16.
This theoretical paper examines the concept of pedagogical content knowledge (PCK) and explores how it might contribute to conversations around quality teaching and learning in outdoor education. This paper begins by summarizing the historical and contemporary literature, including issues of definitions, curriculum, content, and pedagogy in outdoor education. We then review the concept of PCK, its history, and contributions to other subject areas, including mathematics. We present a framework for PCK from the field of mathematics education and propose a 'modified' PCK framework for outdoor education. We postulate that this framework might help articulate knowledge areas needed by a teacher of outdoor education, and how these differ from and are similar to those required in other subject areas. We conclude by exploring how the idea of PCK and the modified framework might add to existing understandings of what it means to provide high quality outdoor education teaching and learning experiences.  相似文献   

17.
The notion of pedagogical content knowledge (PCK) was posited in the context of school teaching and the knowledge used by teachers teaching school students. It has been examined for a number of discipline areas, notably mathematics. There are, however, other teaching contexts, including those of teacher educators, whose students are pre-service teachers (PSTs). The content these teacher educators teach is not subject discipline knowledge (or not solely), but the PCK for teaching a subject discipline. What knowledge do teacher educators use as they teach PCK? This paper presents a framework for the PCK required of mathematics teacher educators as they work to develop PSTs’ PCK for teaching mathematics. The framework builds on existing research into PCK and categorises aspects of the work of teacher education. The framework’s usefulness is examined by studying the PCK used by the first author in building PSTs’ understanding of mathematics teacher PCK.  相似文献   

18.
Mastery of algebra is an important yet difficult milestone for students, suggesting the need for more effective teaching strategies in the algebra classroom. Learning by comparing worked-out examples of algebra problems may be one such strategy. Comparison is a powerful learning tool from cognitive science that has shown promising results in prior small-scale studies in mathematics classrooms. This study reports on a yearlong randomized controlled trial testing the effect of an Algebra I supplemental comparison curriculum on students’ mathematical knowledge. 141 Algebra I teachers were randomly assigned to either implement the comparison curriculum as a supplement to their regular curriculum or to be a ‘business as usual’ control. Use of the supplemental curriculum was much less frequent than requested for many teachers, and there was no main effect of condition on student achievement. However, greater use of the supplemental curriculum was associated with greater procedural student knowledge. These findings suggest a role for comparison in the algebra classroom but also the challenges of supporting teacher integration of new materials into the curriculum.  相似文献   

19.
This teacher development study closely examined a teacher's practice for the purpose of understanding how she selected and implemented instructional materials, and correspondingly how these processes changed as she developed her problem‐based practice throughout a school year. Data sources included over 20 hours of planning and analysis meetings with the teacher and 27 video‐taped lessons with discussions before and after each lesson. Through qualitative analysis we examined the data for: students' cognitive demand for curricular materials the teacher selected and implemented; teacher's beliefs and practices for students' engagement in mathematical thinking; and teacher's and students' communication about mathematics during instruction. We found that the teacher shifted her views and use of instructional materials as she changed her practice towards more problem‐based approaches. The teacher moved from closely following her traditional, district‐adopted textbook to selecting problem‐based tasks from outside resources to build a curriculum. Simultaneously, she changed her practice to focus more on students' engagement in mathematical thinking and their communication about mathematics as part of learning. During this shift in practice, the teacher began to reify instructional materials, viewing them as instruments of her practice to meet students' needs. The process of shifting her views was gradual over the school year and involved substantial analysis and reflection on practice from the teacher. Implications include that teachers and teacher educators may need to devote more attention and support for teachers to use instructional materials to support instruction, rather than materials to prescribe instruction. This use of instructional materials may be an important part of transforming practice overall.  相似文献   

20.
大学生对课程的学习掌握情况与学生的未来发展有着密不可分的联系。而大学数学课程的学习不仅能够培养学生的创新思维,还能够使学生在学习过程中培养创新精神,并为学生的未来发展打下坚实的基础。因此,作为大学数学教师应在教学过程中高效利用网络资源,开阔学生视野,培养创新思维,并充分利用互联网作为课堂资源不断提升教学能力,完善教学方法,从而运用创新型教学模式培养综合型人才。  相似文献   

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