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1.
The National Council of Teachers of Mathematics (NCTM) states that “Communication is an essential part of mathematics and mathematics education” (2000, p. 60). In fact, communication is one of the five process standards emphasized by NCTM. The communication standard highlights the importance of young children communicating their mathematical thinking coherently to peers and teachers. This standard also states that young children should use math language to express mathematical ideas (Baroody, 2000; Ginsburg, Inoue, & Seo, 1999; NCTM, 2000; Rubenstein & Thompson, 2002; Whitin & Whitin, 2003). Teachers must create a link between mathematics and language (Rubenstein & Thompson, 2002; Stigler & Hiebert, 2004). This article focuses on the informal strategies used by Melissa (a kindergarten teacher) that promoted the use of math language. The strategies were identified during a 3-month observational period in her classroom at Clinton Elementary (pseudonym). Clinton Elementary is located in a low-income neighborhood of a southern city that has a population of approximately 450,000. The neighborhood population is predominantly African-American (Davis, 1994). 相似文献
2.
Mark W. Ellis Carol E. Malloy Judith L. Meece Patricia R. Sylvester 《Learning Environments Research》2007,10(1):1-15
As part of a research project examining relationships between instructional practices and student cognitive and social outcomes
in middle-school mathematics classes, external observers and students reported perceptions of teachers’ instructional practices.
The extent to which students in classrooms identified by external raters as reform-oriented actually perceive instruction
in ways aligned with reform principles has not been established. A 25-item observation protocol aligned with the reform practices
called for in the Standards of the National Council of Teachers of Mathematics (NCTM) was used to develop a quantitative profile
of instructional practices across two lessons in each of 28 classes of 15 participating teachers. Students in each of the
observed classes completed a 49-item survey of their perceptions of instructional practices. As items for both the observation
protocol and Student Survey were designed to measure alignment with the same dimensions of reform practice, the convergence
of these two data sets was examined as a means to confirm the observation ratings. The findings show moderately strong correlations
between ratings of external observers and perceptions of sixth-grade students across three dimensions (pedagogy, tasks and
mathematical interactions) of reform-oriented teacher practice in mathematics classrooms. Implications of these findings for
future research are discussed.
The research in this article was supported by the National Science Foundation (NSF) under grant REC 0125868. The opinions
expressed here are those of the authors and do not necessarily reflect the view of NSF. The research was also supported by
the Roysters’ Fellowship to Mark Ellis from the Graduate School at the University of North Carolina at Chapel Hill. 相似文献
3.
Using the biology faculty of one high school (n = 9) and the mathematics faculty of another (n = 16), this study tested the hypothesis that constructivist teachers play an active role within teacher communication networks (the constructivist‐teacher hypothesis). This hypothesis contrasts with the view that constructivist teachers operate alone and largely severed from communications among colleagues. Two types of representations of communication patterns among faculty members (i.e., sociographs) were created and analyzed for each faculty. One type of sociograph plotted communications concerning content/pedagogical issues while the other type plotted social/informal communications. Trained raters assessed constructivist‐teaching practices using the Reformed Teaching Observation Protocol (RTOP). Positive relationships were found between constructivist‐teaching practices and the frequency and significance of communications within both faculties—more so for content/pedagogical issues than for social/informal communications. Importantly, peers sought out constructivist teachers more often than they did traditional teachers, presumably seeking advice regarding teaching practice. Results support the constructivist‐teacher hypothesis and indicate that constructivist teachers are not isolated from their peers. Instead, they appear to play an active role, particularly when colleagues are discussing issues related to content and pedagogy. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 44: 490–505, 2007 相似文献
4.
5.
While constructivism has emerged as a major reform in science education from the last decade, wide-spread adoption of constructivist
practices in school laboratories and classrooms is yet to be achieved. If constructivist approaches are to be utilised more
widely, teachers will need to accept a more active and constructivist role in their own pedagogical learning. One experienced
junior science teacher was able to implement constructivist approaches in her classroom by using a personally constructed
metaphor to guide her practice.
Specializations: science education, teaching of thinking, professional development.
Specializations: constructivism, professional development. 相似文献
6.
Marilyn Leask 《Technology, Pedagogy and Education》2013,22(1-2):117-134
Abstract This article explores communal constructivism as a unifying theory that encapsulates the ways in which information and communications technology (ICT) enables learners to collaboratively create knowledge. The authors review the research outcomes from several international ICT projects in the light of communal constructivist learning theory, which provides a rationale and explanations for some of their findings exploring the effectiveness of new pedagogical practices emerging in ICT-rich innovative learning environments. They argue that the term ‘communal constructivism’ conveys a meaning that captures specific elements of the additional value that various forms of ICT bring to learning environments, specifically the different forms of virtual and real community building, as well as the different ways in which knowledge is constructed, shared and reconstructed, published and republished by both teachers and learners alike. The aim of the article is to start the debate about communal constructivism as a unifying theory for aspects of ICT pedagogy, and to identify some of the characteristics of ICTrich learning environments where the authors suggest communal constructivist pedagogy is in operation. 相似文献
7.
Abstract Mathematics continues to be one of the most difficult components of the school curriculum for students with learning disabilities (LD). The National Council for Teachers of Mathematics, in conjunction with current educational legislation, challenges teachers to maintain high standards for student performance in mathematics. Fortunately, over the past two decades, researchers have identified and validated a number of instructional practices that help students with LD understand and use mathematics in meaningful ways. The purpose of this article is to discuss instructional guidelines and evidence‐based practices for building conceptual, procedural, and declarative knowledge within a comprehensive mathematics curriculum. The importance of balancing these three knowledge areas across mathematics content areas is noted. 相似文献
8.
Ahn-Sook Hwang 《Instructional Science》1996,24(5):343-356
Constructivism has been an influential theoretical persuasion in recent years in the field of instructional design and development. Yet the theoretical tenets and applications of constructivism in instructional development (ID) have been often discussed outside the context of the long-standing paradigmatic pursuits from which constructivism stems. Efforts to continue an intellectual journey, exploring how different theoretical bases lead to different implications for ID, must be based on a clear understanding of different paradigms. Hence, constructivism is discussed here in the context of the underlying paradigm debate involving the old positivist paradigm and the new constructivist paradigm. This article explores how these different paradigms have shaped different theories and practices in ID. Specifically, three versions of constructivism and how they have influenced ID are critically examined. Finally, it is recommended that the two paradigms, positivism and constructivism, can be applied in a complementary way in ID. 相似文献
9.
Paul Adams 《Education 3-13》2013,41(3):243-257
In the drive to improve standards, the collection and dissemination of numerical data still directs much contemporary educational policy. However, recent publications and debates seemingly attempt to reorient discussion from performance to learning. In support, constructivism is often referenced as a contributor in this endeavour. However, constructivism is not a single unified theory either of knowledge or pedagogy. This article identifies one version of constructivist thinking, social constructivism, both in terms of its underlying epistemology (theory of knowledge) and related pedagogy. Contemporary educational theories are then outlined to demonstrate that many practical solutions and theoretical ideas now presented as ‘good learning and teaching’ have much in common with social constructivist thinking. Finally, the article concludes by identifying two issues that require further discussion and debate if pedagogy of a social constructivist nature is to be considered. 相似文献
10.
Charlene Tan 《Globalisation, Societies & Education》2017,15(2):238-247
This article critically discusses the constructivist ideas, assumptions and practices that undergird the current pedagogical reform in China. The pedagogical reform is part of a comprehensive curriculum reform that has been introduced across schools in Mainland China. Although the official documents did not specify the underpinning theories for the pedagogical reform, Chinese scholars and educators have identified constructivism as a dominant theory. The essay argues that the acceptance of constructivist views and logics has generated three key challenges for Chinese educators with respect to the content, teaching approach and assessment. The challenges are the concern that constructivism will undermine content mastery, the perceived incompatibility between constructivism and the traditional transmission approach, and the misalignment between constructivism and the prevailing assessment system in China. The example of China adds to the international body of literature on the attraction and borrowing of ‘modern’ educational theories and practices, and the tensions and difficulties engendered in the process. 相似文献
11.
Feral Ogan-Bekiroglu Hatice Akkoç 《International Journal of Science and Mathematics Education》2009,7(6):1173-1199
The purposes of this study were to determine preservice physics teachers’ instructional beliefs and to investigate the relationship
between their beliefs and practices. The theoretical framework was based on the combination Haney & McArthur’s (Science Education, 86(6):783–802, 2002) research and Ford’s (1992) motivation systems theory. A multicase study design was utilized for the research in order to focus on a belief–practice
relationship within several examples. Semistructured interviews, observations, and preservice teachers’ written documents
were used to collect data. Results showed that most preservice teachers held instructional beliefs aligned with constructivist
philosophy. Some of the preservice teachers’ beliefs were consistent with their practices while some of them presented different
practices from their beliefs in different placements. 相似文献
12.
Phuntsho Dolma David Nutchey James J. Watters Vinesh Chandra 《International Journal of Science and Mathematics Education》2018,16(3):581-602
Reform of mathematics education has been in focus in many countries including those in major economic transition. This paper reports a segment of a study which was conducted in Bhutan, where a reformed elementary mathematics curriculum has been recently introduced. The reformed curriculum is based on social constructivism and its design has been influenced by the USA’s National Council of Teachers of Mathematics (NCTM) standards. This paper reports upon the planned teaching of a sample of elementary (primary) teachers in their implementation of the reformed curriculum. The data for this part of the investigation were aggregated from a qualitative survey of randomly selected elementary school teachers (N = 72) from 40 schools across the country. A set of 3 analytical rubrics, based on intentions embedded in the curriculum, was developed to analyse the alignment of teachers’ planned sample learning activities with the intentions of the curriculum. Our conclusions are that while the curriculum’s intentions might be meaningfully stated in the curriculum documents, implementation remains problematic because there appears to be a mis-alignment between curriculum intentions and classroom practices. For instance, teachers by not adopting evidence-based approaches recommended in the curriculum document and are continuing to deny students opportunities to achieve deep understanding in achieving national priorities. This paper also argues that the proposed analytical rubrics may be of value for Bhutanese mathematics educators and, with minor modification, educators in other contexts, as they critique planned and actual practices. 相似文献
13.
Jeanette M. Grover Eula Ewing Monroe James S. Jacobs 《Children‘s Literature in Education》2007,38(1):71-86
The first author, a student in a graduate children’s literature class, designed a project to locate “good” mathematics-based
children’s literature selections. However, the reference tools usually consulted (e.g., Books in Print) to locate books by topic were of little help, and those she located under individual mathematics topics were mostly traditional
mathematics books rather than good read-aloud selections. Consequently, she perused the university library’s sizeable juvenile
collection to find books that would meet her selection criteria. This article describes the influence of two landmark documents
for mathematics teaching and learning—Curriculum and Evaluation Standards for School Mathematics (National Council of Teachers of Mathematics [NCTM], 1989) and Principles and Standards for School Mathematics (NCTM, 2000)—as she engaged in the process.
相似文献
| Eula Ewing MonroeEmail: |
14.
Mary Klein 《Asia-Pacific Journal of Teacher Education》1998,26(1):75-85
Teacher educators often tend to place enormous faith in constructivist approaches to teaching, which emphasise collaboration, inquiry and problem solving. With reference to my own pedagogical practices in preservice teacher education, I argue that constructivist practice may in fact cement, rather than challenge, the taken‐for‐granted cultural, sexist and racist assumptions informing teaching‐mathematics‐as‐usual. I suggest that students should experience a different mathematics; a mathematics that reveals how processes of collaboration and inquiry, based on constructed binaries, selectively constitute mathematical subjectivities. Preservice teachers and teacher educators who are aware of activities and practices which are overly regulatory and/or discriminatory might work together to re‐vision and enact an alternative mathematics: a mathematics able to challenge and disrupt the status quo. 相似文献
15.
Julie A. Ray 《Journal of Early Childhood Teacher Education》2013,34(4):319-325
Abstract Constructivism is a theory of learning that has become increasingly accepted by educators. Yet translating a theory of learning into practical instructional strategies has proven to be quite difficult for teachers. A qualitative study was recently completed that examined primary grade teachers’ understanding of constructivism and its influence upon their teaching practices. Analysis indicated that the teachers had several misconceptions of constructivism and were at varying levels of understanding, based upon their experience and professional development in constructivist education. This study has implications for the teacher education field, and early childhood teacher educators can play an important role in helping preservice and inservice teachers gain a deeper understanding of constructivism and implement teaching practices based upon this understanding. Suggestions for colleges of education are given. 相似文献
16.
Qingmin SHI 《Frontiers of Education in China》2014,9(4):577-602
Teacher efficacy in a particular content area is seen as an important factor shaping teaching practice and student learning in the Western literature. However, inadequate efforts have been made to examine this assumption empirically. Drawing on the Trends of International Mathematics and Science Study (TIMSS) 2011 mathematics teachers’ data at the eighth grade level, this study examines the relationship between teacher efficacy in teaching mathematics and teachers’ mathematical instructional practices in five Asian countries/regions. Guided with Bandura’s social cognitive theory, this study finds that overall teachers in the five countries/regions reported much lower teacher efficacy in teaching mathematics and lower levels of instructional practices than the international norms. The relationship between teacher efficacy and instructional practices varied within these countries/regions. Teacher efficacies in teaching mathematics are not always statistically and positively related to their instructional practices in engaging students. Together, these findings challenge the theoretical assumption about the positive relationship between teacher efficacy and instructional practices. Possible reasons of these findings and future directions are discussed. 相似文献
17.
Dionne I. Cross 《Journal of Mathematics Teacher Education》2009,12(5):325-346
This collective case study reports on an investigation into the relationship between mathematics teachers’ beliefs and their
classroom practices, namely, how they organized their classroom activities, interacted with their students, and assessed their
students’ learning. Additionally, the study examined the pervasiveness of their beliefs in the face of efforts to incorporate
reform-oriented classroom materials and instructional strategies. The participants were five high school teachers of ninth-grade
algebra at different stages in their teaching career. The qualitative analysis of the data revealed that in general beliefs
were very influential on the teachers’ daily pedagogical decisions and that their beliefs about the nature of mathematics
served as a primary source of their beliefs about pedagogy and student learning. Findings from the analysis concur with previous
studies in this area that reveal a clear relationship between these constructs. In addition, the results provide useful insights
for the mathematics education community as it shows the diversity among the inservice teachers’ beliefs (presented as hypothesized
belief models), the role and influence of beliefs about the nature of mathematics on the belief structure and how the teachers
designed their instructional practices to reflect these beliefs. The article concludes with a discussion of implications of
teacher education. 相似文献
18.
Qiang CHENG 《Frontiers of Education in China》2014,9(4):493-518
Although teaching quality is seen as crucial in affecting students’ performance, what types of instructional practices constitute quality teaching remains a question. With the theoretical assumptions of conceptual and procedural mathematics teaching as a guide, this study examined the types of quality mathematics instructional practices that affect students’ mathematics learning across five high-performing Asian education systems using the Trends in International Mathematics and Science Study (TIMSS) 2011 dataset. It found that no combinations of the components of conceptual and procedural mathematics teaching practices exist consistently across the five education systems. Results from the study provide important implications for practitioners and policy makers regarding how to improve mathematics teaching and learning in these Asian education systems as well as elsewhere. 相似文献
19.
Mary R. Sudzina 《Educational Psychology Review》1997,9(2):199-260
Recent interest and inquiry into constructivism, pedagogical content knowledge, and case study methodology are influencing the content and goals of educational psychology in teacher preparation. The reasons seem clear: The content of educational psychology lends itself to authentic, active, and pragmatic applications of theory to school practices, as well as to investigations of a variety of educational issues, perspectives, and contexts which can be viewed through case study, a constructivist problem-based approach to learning. Widely-used educational psychology texts are including constructivism as a cognitive alternative to behaviorist and information processing views of teaching and learning. Concurrently, case studies are being integrated in educational psychology texts, and a myriad of case texts have appeared with application to educational psychology courses. This article considers the decisions, benefits, and difficulties in teaching educational psychology through a constructivist case study approach. 相似文献
20.
Expanding preservice teachers' metacognitive awareness of instructional planning through pedagogical agents 总被引：2，自引：0，他引：2
In this experimental study, 135 preservice teachers developed an instructional plan for a case study within the Multiple Intelligent
Mentors Instructing Collaboratively (MIMIC) computer-based environment. Three-dimensional, animated pedagogical agents, representing
constructivist and instructivist approaches to instructional planning, served as instructional mentors within the environment
and were available to provide advisements. The research design consisted of two factors, (a) instructivist agent (present,
absent) and (b) constructivist agent (present, absent), with two primary groups of dependent measures, (a) metacognitive awareness,
and (b) attitude. Regarding metacognitive awareness, when the constructivist agent was present, participants tended to report
a change in their perspective of instructional planning, reflected less on their thinking, and developed instructional plans
rated as more constructivist in underlying pedagogy. Regarding attitude, when the instructivist agent was present, participants
reported a more negative disposition regarding instructional planning. Results are discussed in terms of the impact on teaching
instructional planning to preservice teachers. 相似文献