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1.
Two cohorts of students preparing to become elementary teachers participated in a model program in science and mathematics. These students were compared to other students taking similar courses on their conceptual understandings of science and mathematics, their investigative proficiencies, and their beliefs about effective methods of teaching these subjects. Instruments included newly developed tests of understanding, existing standardized achievement tests, and instruments devised for the evaluation to elicit conceptions of appropriate ways to teach science and mathematics to elementary children. Results from individual courses indicated that students participating in the model program developed more thorough understandings and more reform-minded beliefs related to teaching science and mathematics. Issues associated with the assessment and evaluation of innovative programs in science and mathematics are discussed, and recommendations for teacher preparation are offered.  相似文献   

2.
We investigated secondary science and mathematics teachers engaged in a two-and-a-half-year professional development effort focused on equity. We examined how teachers conducting research on their own instructional practices—a central learning strategy of the professional development project—informed and/or constrained their views related to three strands of equity: teachers and teaching, students and learning, and students’ families and communities. Data collected included recordings of professional development seminars and school-site meetings, three sets of individual interviews with teacher researchers, and drafts and final products of the classroom research teachers conducted. From our qualitative analyses of data, we found that most teachers addressed at least two of the three equity strands in researching their own practice. We also found that most transformed their understandings of teachers and students as a result of their teacher research process. However, teachers’ views of families and communities changed in less substantive ways. We close with recommendations for other researchers and professional developers intent on supporting science and mathematics teachers in using teacher research to work toward equity.  相似文献   

3.
Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the importance of culture in mathematics education. To contribute to what is known about supporting secondary mathematics teachers in developing a culturally responsive teaching practice, we studied the impacts of a graduate course called Culture in the Mathematics Classroom on 13 teachers enrolled in the course. The course was designed to guide secondary mathematics teachers in understanding and growing their capacity to enact culturally responsive teaching in their classrooms. The purpose of our research was to explore how teachers’ perceptions changed as a result of their engagement in the class with respect to understanding the role of culture in knowing and being responsive to their students. Specifically, we examined how each of the four course projects seemed to individually and collectively influence teachers’ thinking. Overall, teachers appeared to expand their cultural awareness and dispositions for cultural responsiveness that would support them in knowing and supporting their students in the manner of a culturally responsive teacher. Teachers did not, however, develop some more “advanced” understandings related to power and privilege in society. This study provides researchers and mathematics teacher educators with a potential analytic framework for understanding teacher change with respect to culturally responsive teaching.  相似文献   

4.
In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics “expert” teachers. Exploiting the Western and Eastern literature we examine the notion of “mathematics teaching expertise”, as it is perceived in the East and the West. The data consist of two rounds of in-depth interviews, observations and teachers’ representations of their resource systems, where teachers describe their resources connected to their practice, their perceptions of mathematics teaching expertise, and how to develop it. Subsequently, the data are analyzed with respect to the different facets of the notion of teaching expertise and related to the teachers’ views and practices, in order to deepen our understandings of what proficiency in mathematics teaching might mean and how to develop it, seen through the lens of ‘resources’. The significance of the study relates to the enhancement of mathematics teachers’ expertise and capacity building when working in collectives (e.g., in teacher professional development), in order to develop a strong workforce for supporting and helping to improve pupil learning.  相似文献   

5.
Understanding students' understanding of mathematical ideas can inform mathematics teaching, and task-based interviews are one way in which teachers can learn more about their students' understandings. The CIME project was designed to empower mathematics teachers to use interviews to understand their students' mathematical understandings as well as to prepare teachers to use technology-intensive curricula. This study examined the influences on three high school mathematics teachers as they learned to use task-based interviews to understand students' mathematical understandings. The areas of teacher knowledge and conceptions that influenced the teachers we studied were: teachers' mathematical understandings and knowledge of technology and the perceived importance of curriculum topics; teachers' views of knowing mathematics; teachers' perceptions of students' characteristics and needs; and teachers' perceptions of interviewing and the role of questioning in interviews. This revised version was published online in August 2006 with corrections to the Cover Date.  相似文献   

6.
Is it possible that a meeting of mathematicians and primary school teachers will be productive? This question became intriguing when one professor of mathematics initiated a professional development course for practicing primary school teachers, which he taught alongside a group of mathematics Ph.D. students. This report scrutinizes the uncommon meeting of these two communities, who have very different perspectives on mathematics and its teaching. The instructors had no experience in primary school teaching, and their professed goal was to deepen the teachers’ understanding of the mathematics they teach, while teachers were expecting the course to be pedagogically relevant for their teaching. Surprisingly, despite this mismatch in expectations, the course was considered a success by teachers and instructors alike. In our study, we analyzed a lesson on division with remainder for teachers of grades 3–6, taught by the professor. The framework used for the data analysis was mathematical discourse for teaching, a discursive adaptation of the well-known mathematical knowledge for teaching framework. Our analysis focuses on the nature of the interactions between the parties and the learning opportunities they afforded. We show how different concerns, which might have hindered communication, in fact fueled discussions, leading to understandings of the topic and its teaching that were new to all the parties involved. The findings point to a feasible model for professional development where mathematicians may contribute to the education of practicing teachers, while they are gaining new insights themselves.  相似文献   

7.
In this article, we report on a study of beliefs about mathematics, teaching, and proof conducted with six prospective secondary mathematics teachers as they completed a two-semester sequence of a content course and a methods course. The initial beliefs of the participants were identified using interview and survey data, and potential shifts in beliefs were examined through further interview and survey data combined with classroom observations and written work. While their beliefs about mathematics and proof appeared to be relatively stable, their beliefs about teaching shifted from a more teacher-centered view to beliefs that foreground the activities and understandings of the students. These shifts are analyzed using the construct of belief structures, and activities and events from the courses that may have facilitated the shifts are identified. The results are consistent with the literature in some respects, such as the stability of the participants’ beliefs about mathematics. On the other hand, our results present new information about how prospective secondary mathematics teachers’ beliefs about teaching may be impacted.  相似文献   

8.
The major science education reform documents emphasize the need for K-12 students to have a robust understanding of nature of science (NOS), and inservice teachers consequently need to develop their NOS teaching repertoires. This study investigated the extent to which science teachers were willing to adopt new strategies and activities for teaching NOS in their classrooms. The participants were 36 elementary, middle, and high school teachers who were completing a year-long physical science professional development (PD) that included NOS instruction. Data sources consisted of surveys (teachers’ NOS views, teaching practices), collected work, and responses to post-PD follow-up questions. The professional development course was successful in that teachers incorporated many of these strategies and activities into their own practice. This study also endeavored to identify factors that facilitated the adoption of these new approaches to teaching NOS. While personal characteristics such as pre- or post-PD NOS understandings, NOS gains, and grade level taught were not related to the number of NOS activities incorporated, teachers from suburban and rural schools were significantly more likely to implement NOS activities.  相似文献   

9.
This study aimed to assess the influence of a philosophy of science (POS) course on science teachers’ views of nature of science (NOS), perceptions of teaching about NOS, and instructional planning related to NOS. Participants were 56 undergraduate and graduate preservice secondary science teachers enrolled in a two science‐methods course sequence, in which participants received explicit, reflective NOS instruction. Ten of these participants were also enrolled in a graduate survey POS course. The Views of Nature of Science Questionnaire — Form C coupled with individual interviews was used to assess participants’ NOS views at the beginning and conclusion of the study. Participants’ lesson plans and NOS‐specific reflection papers were analysed to assess the impact of the POS course on their instructional planning related to, and perceptions of teaching about, NOS. Results indicated that, compared with participants enrolled in the methods courses, the POS course participants developed deeper, more coherent understandings of NOS. Substantially more of these latter participants planned explicit instructional sequences to teach about NOS. Additionally, the POS course participants’ discourse regarding NOS progressed from a preoccupation with the technical, to a concern with the practical, and, finally, to a focus on the emancipatory. Their views of teaching about NOS in their future classrooms went beyond the customary discourse of whether pre‐college students should or could be taught about NOS, to contemplating changes they needed to bring about in their own teaching behaviour and language to achieve consistency with their newly acquired NOS understandings.  相似文献   

10.
11.
We describe the views and attitudes of a group of Portuguese primary teachers as they unfolded during a course aimed at introducing a Logo-mathematical culture. We identify what was at stake for them in interacting with such a culture by focusing on sketches of two participants. The study had threefold aims: to describe and analyse attitudes towards mathematics and mathematics teaching; to examine the interactions between participants' attitudes and their activities on the course; and to investigate what kinds of influences the course had on their attitudes.  相似文献   

12.
This study was designed to investigate the relationship between students' views of the nature of scientific knowledge and their own learning of physics, and the evolution of this relationship over time. Twenty-three students enrolled in a physics course that emphasised laboratory work and discussions about the nature of science. Over a 15-month period, an extensive data base was established including student essays and interviews regarding their views of the nature of science and teaching and learning of physics. As part of an extensive data generation, students read a book on the epistemology of physics, wrote reflective essays, and subsequently discussed the epistemology of physics in class. Two intensive case studies are used to illustrate our understanding of students' views over time. Changes in students' views concerning the nature of scientific knowledge and of the science teaching and learning process, which were not always complementary, are described with the aid of a model. The findings of this research have direct relevance to the planning and implementation of science courses in which the development of understandings of the nature of science is an objective.  相似文献   

13.
The purpose of this qualitative multicase study was to explore the perceptions of individuals who could speak from both sides of the special education desk--as students and as teachers. The three participants for this study each received special education services for learning disabilities while in school and were currently teaching students with learning disabilities. Specifically the study focused on how participants' past experiences with receiving special education services influenced their current practice as special education teachers. Participants' views on service delivery models, the importance of teacher expectations, and the value of conceiving a learning disability as a tool rather than a deficit are discussed.  相似文献   

14.
This article considers the relationship between policy and practice in the early childhood mathematics curriculum for reception-class (RC) children of five years in England. It explores what the policy requires RC teachers to do in terms of curriculum implementation; what RC teachers’ views and understanding of the early childhood mathematics curriculum are; how RC teachers implement early years mathematics policy; and how RC children respond. A case study design included interviews with elite participants who influenced the policy-making process, survey of RC teachers and a detailed investigation of RC classes on three school sites. As elite interviews underlined, international comparison studies have had an important influence on early childhood mathematics policies by creating top-down pressure for standards. Elites and practitioners drew attention to a tension between a play-based pedagogy and a standards agenda. Tensions in policy text were reflected in mixed and ambivalent views and reported practices by elites and practitioners. RC teachers did not merely receive and implement policy expectations but brought their own values and understandings to practice. The study reveals interplay between local and global influences in a context of changing views of early childhood, early learning and early years pedagogy.  相似文献   

15.
We discuss mathematical tasks used in a first mathematics content course for elementary teachers at our university to foster a deep conceptual understanding of early arithmetic, including basic concepts of number, number relationships and strategies, and coordinating units of different rank. Our approach is to immerse our students in a base 8 world for up to six weeks. A key aspect is that we develop base 8 vocabulary. We use base 8 analogs of instructional sequences developed in classroom teaching experiments in the elementary grades that have been proven successful to promote deep conceptual understandings of basic arithmetic and place-value numeration in young children. As a result, our students have unique opportunities to develop a reconceptualized view of early arithmetic and learn how it can be advanced.  相似文献   

16.
数学课堂教学改革是数学课程改革的一项重要工作。数学课堂教学改革就是要用新课程理念改革过去被动式的课堂教学模式,使课堂教学成为“师生之间、学生之间交往互动与共同发展的过程”。要实现这一目标,建构课堂教学中真实的师生交往是关键。当前,在中小学数学课堂教学的师生交往中存在一些不真实的现象,这已对数学新课程的教学实施造成了一些不利的影响。因此,要正确认识数学课堂教学中师生交往的涵义,分析不真实交往的成因,明确师生之间真实交往的特征,建构数学课堂教学中有效的师生交往,从而推动数学课堂教学改革的健康发展。  相似文献   

17.
Teachers need an understanding of the nature of science (NOS) to enable them to incorporate NOS into their teaching of science. The current study examines the usefulness of a strategy for challenging or changing teachers’ understandings of NOS. The teachers who participated in this study were 10 initial teacher education chemistry students and six experienced teachers from secondary and primary schools who were introduced to an explicit and reflective activity, a dramatic reading about a historical scientific development. Concept maps were used before and after the activity to assess teachers’ knowledge of NOS. The participants also took part in a focus group interview to establish whether they perceived the activity as useful in developing their own understanding of NOS. Initial analysis led us to ask another group, comprising seven initial teacher education chemistry students, to take part in a modified study. These participants not only completed the same tasks as the previous participants but also completed a written reflection commenting on whether the activity and focus group discussion enhanced their understanding of NOS. Both Lederman et al.’s (Journal of Research in Science Teaching, 39(6), 497–521, 2002) concepts of NOS and notions of “naive” and “informed” understandings of NOS and Hay’s (Studies in Higher Education, 32(1), 39–57, 2007) notions of “surface” and “deep” learning were used as frameworks to examine the participants’ specific understandings of NOS and the depth of their learning. The ways in which participants’ understandings of NOS were broadened or changed by taking part in the dramatic reading are presented. The impact of the data-gathering tools on the participants’ professional learning is also discussed.  相似文献   

18.
In this study, we explore an alternate mode for teaching and learning the dynamic, three‐dimensional (3D) relationships that are central to understanding astronomical concepts. To this end, we implemented an innovative undergraduate course in which we used inexpensive computer modeling tools. As the second of a two‐paper series, this report focuses on the qualitative differences of students' understandings of both spatial and declarative knowledge domains as reflected by their two distinct learning environments — a traditional astronomy classroom and an experimental astronomy course grounded in problem‐solving and modeling with dynamic, 3D, computational modeling software. We found that students who constructed 3D computational models tended to have a more scientifically sophisticated understanding of dynamic spatial relationships, whereas students in the traditional class developed more accurate understandings of the properties and general facts and figures regarding celestial bodies.  相似文献   

19.
20.
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   

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