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1.
Mathematics teachers face a myriad of instructional obstacles. Since the early 1990s, mathematics education researchers have proposed the use of constructivist practices to counteract these ever-prevalent obstacles. While we do give credit to the choices of instructional activities the constructivist paradigm promotes, there are problems with its use as the foundation of mathematics pedagogy (e.g., Phillips, Educational Researcher 24: 5–12 1995; Simon, Journal for Research in Mathematics Education 26: 114–145 1995). In this paper, we will analyze and review the literature pertaining to the conceptual tenets and operational practices of constructivism, and the viability of these practices for meeting the professional teaching standards proposed by the National Council of Teachers of Mathematics (NCTM; 2000). We will then review the literature pertaining to a paradigm of teaching that may be more applicable, that of persuasive pedagogical practices, and the ways in which these practices can differentially meet the goals of the mathematics standards. The differences between constructivism and persuasive pedagogy lead us to believe that the adoption of the theory of teaching as persuasion, or persuasive pedagogy, may be more appropriate for learning mathematics and the identification and correction of misconceptions. Further, these pedagogical practices correspond with suggestions for mathematical discourse provided by NCTM (2000).  相似文献   

2.
The purpose of this article was to illuminate for early childhood teacher practitioners how guided reading, as a research-based approach to reading instruction, could address the challenges of early reading instruction. The early years are the focus for the prevention of reading difficulties and research conducted over the past two decades has produced extensive results demonstrating that children who get off to a poor start in reading rarely catch up (Lentz, 1988; Neuman & Dickinson, 2001; Snow, Burns, & Griffin, 1998; Torgesen, 1998; Whitehurst & Lonigan, 2001). One particular research-based strategy, guided reading, is an important “best practice” associated with today’s balanced literacy instruction. The National Reading Panel (2000) argued that balanced approaches are preferable when teaching children to read, based on their review of scientific research-based reading instructional practices used by teachers in classrooms across the country. Additionally, guided reading practices as part of a balanced literacy program conforms to the recommendations on literacy as suggested in position statements by the International Reading Association/The National Association for the Education of Young Children (1998), and the National Council of Teachers of English (2002).  相似文献   

3.
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.
Eula Ewing MonroeEmail:
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4.
This article describes a unique supplementary program that teaches early childhood mathematics (Pre-K to Grade 2), through a series of six problem-solving adventure stories. The mathematics concepts are taught to the children through the medium of oral storytelling sagas in an integrated approach that addresses language arts as well as early childhood mathematics competencies. Teachers and schools can select from the supplementary books in this series to enrich and address gaps in their present mathematics curriculum based on the most recent NCTM [Principles and Standards for School Mathematics, National Council of Teachers of Mathematics, Reston, VA, 2000] standards recommending a stronger emphasis on geometry, measurement, pre-algebra, and graphing skills.  相似文献   

5.
Teachers in the UK and elsewhere are now expected to foster creativity in young children (NACCCE, 1999; Ofsted, 2003; DfES, 2003; DfES/DCMS, 2006). Creativity, however, is more often associated with the arts than with mathematics. The aim of the study was to explore and document pre-service (in the UK, pre-service teachers are referred to as ‘trainee’ teachers) primary teachers’ conceptions of creativity in mathematics teaching in the UK. A questionnaire probed their conceptions early in their course, and these were supplemented with data from semi-structured interviews. Analysis of the responses indicated that pre-service teachers’ conceptions were narrow, predominantly associated with the use of resources and technology and bound up with the idea of ‘teaching creatively’ rather than ‘teaching for creativity’. Conceptions became less narrow as pre-service teachers were preparing to enter schools as newly qualified, but they still had difficulty in identifying ways of encouraging and assessing creativity in the classroom. This difficulty suggests that conceptions of creativity need to be addressed and developed directly during pre-service education if teachers are to meet the expectations of government as set out in the above documents.  相似文献   

6.
The construct of identity has been used widely in mathematics education in order to understand how students (and teachers) relate to and engage with the subject (Kaasila, 2007; Sfard & Prusak, 2005; Boaler, 2002). Drawing on cultural historical activity theory (CHAT), this paper adopts Leont’ev’s notion of leading activity in order to explore the key ‘significant’ activities that are implicated in the development of students’ reflexive understanding of self and how this may offer differing relations with mathematics. According to Leont’ev (1981), leading activities are those which are significant to the development of the individual’s psyche through the emergence of new motives for engagement. We suggest that alongside new motives for engagement comes a new understanding of self—a leading identity—which reflects a hierarchy of our motives. Narrative analysis of interviews with two students (aged 16–17 years old) in post-compulsory education, Mary and Lee, are presented. Mary holds a stable ‘vocational’ leading identity throughout her narrative and, thus, her motive for studying mathematics is defined by its ‘use value’ in terms of pursuing this vocation. In contrast, Lee develops a leading identity which is focused on the activity of studying and becoming a university student. As such, his motive for study is framed in terms of the exchange value of the qualifications he hopes to obtain. We argue that this empirical grounding of leading activity and leading identity offers new insights into students’ identity development.  相似文献   

7.
Developmental dyslexia is associated with functional abnormalities within reading areas of the brain. For some children diagnosed with dyslexia, phonologically based remediation programs appear to rehabilitate brain function in key reading areas (Shaywitz et al., Biological Psychiatry 55: 101–110, 2004; Simos et al., Neuroscience 58: 1203–1213, 2002). However, a non-trivial number of children diagnosed with dyslexia fail to respond to these interventions (Torgesen, Learning Disabilities Research & Practice 15: 55–64, 2000). A cross-sectional fMRI study investigating post-treatment effects was conducted in an effort to better understand differences in brain function between treatment responders and non-responders. Educational testing and brain activation measured after treatment suggested that the reading intervention used in the present study rehabilitated several basic level reading processes in all participants diagnosed with dyslexia. However, activation in the left inferior parietal lobe differentiated treatment responders and non-responders in comparison to non-impaired readers. Children with persistent deficits in single word decoding (treatment non-responders) demonstrated significantly less activation in the left inferior parietal lobe when compared to non-impaired readers.  相似文献   

8.
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9.
The empirical study we present here deals with a pedagogical issue that has not been thoroughly explored up until now in our field. Previous empirical studies in other sectors have identified the opinions of researchers about this topic, showing that completely unacceptable interpretations have been made of significance tests and other statistical resources. We tried to show the degree to which these errors of interpretation appear in a sample of university professors and researchers. To evaluate the beliefs and opinions of the university professors about certain methodological and statistical questions, we adapted the "Psychometrics Group Instrument" questionnaire by Mittag (1999) and Mittag and Thompson (Educational Researcher 29:14-20, 2000). We specifically wanted to detect opinions about: (1) avoiding inappropriate interpretations, (2) rectifying incorrect uses, (3) creating a debate on possible alternatives, and (4) proposing editorial changes in the publication criteria. In this study, we compare the results we obtained with those obtained by two other equivalent studies (Gordon, Journal of Vocational Educational Research 26:1-18, 2001; Mittag and Thompson, Educational Researcher 29:14-20, 2000). The characteristics of the sample and the scope of the results are described, and a critical reflection is carried out on typical misunderstandings in interpretation that show a worrisome lack of understanding of some basic methodological and statistical concepts.  相似文献   

10.
Telling and dramatizing stories is an increasingly popular addition to the preschool curriculum, largely due to the attention this activity has received through the writings of Vivian Paley (Bad guys don’t have birthdays: fantasy play at four. The University of Chicago Press, Chicago, 1988; The boy who would be a helicopter: the uses of storytelling in the kindergarten. Harvard University Press, Cambridge, MA, 1990; A child’s work: the importance of fantasy play. The University of Chicago Press, Chicago, 2004). While the writings of Paley and others (Cooper, When stories come to school: telling, writing, and performing stories in the early childhood classroom. Teachers & Writers Collaborative, New York, 1993; Engel 1999) focus on the social and cognitive outcomes children experience as a result of storytelling, less has been written about the process of writing and dramatizing stories with young children. This article discusses procedures and considerations that enhance storytelling with preschool children, including effective prompts for encouraging children’s creativity, potential trouble spots such as aggression in stories, and ways that storytelling can enhance home-school relationships.  相似文献   

11.
The study reported here is the third in a series of research articles (Harkness, S. S., D’Ambrosio, B., & Morrone, A. S.,in Educational Studies in Mathematics 65:235–254, 2007; Morrone, A. S., Harkness, S. S., D’Ambrosio, B., & Caulfield, R. in Educational Studies in Mathematics 56:19–38, 2004) about the teaching practices of the same university professor and the mathematics course, Problem Solving, she taught for preservice elementary teachers. The preservice teachers in Problem Solving reported that they were motivated and that Sheila made learning goals salient. For the present study, additional data were collected and analyzed within a qualitative methodology and emergent conceptual framework, not within a motivation goal theory framework as in the two previous studies. This paper explores how Sheila’s “trying to believe,” rather than a focus on “doubting” (Elbow, P., Embracing contraries, Oxford University Press, New York, 1986), played out in her practice and the implications it had for both classroom conversations about mathematics and her own mathematical thinking.  相似文献   

12.
In this article, we introduce the lexical bundle, defined by corpus linguists as a group of three or more words that frequently recur together, in a single group, in a particular register (Biber, Johansson, Leech, Conrad, & Finegan, 2006; Cortes, English for Specific Purposes 23:397–423, 2004). Attention to lexical bundles helps to explore hegemonic practices in mathematics classrooms because lexical bundles play an important role in structuring discourse and are often treated as “common sense” ways of interacting. We narrow our findings and discussion to a particular type of lexical bundle (called a “stance bundle” or bundles that relate to feelings, attitudes, value judgments, or assessments) because it was the most significant type found. Through comparing our corpus from secondary mathematics classrooms with two other corpora (one from university classrooms (not including mathematics classrooms) and one from conversations), we show that most of the stance bundles were particular to secondary mathematics classrooms. The stance bundles are interpreted through the lens of interpersonal positioning, drawing on ideas from systemic functional linguistics. We conclude by suggesting additional research that might be done, discussing limitations of this work, and pointing out that the findings warrant further attention to interpersonal positioning in mathematics classrooms.  相似文献   

13.
For educational technology integration in content disciplines to succeed, teachers and teacher educators need clear standards delineating why, how, where, and how much educational technology they should include in their teaching. This paper examines the visions offered by current science, mathematics, and educational technology standards for educational technology integration in K-12 schools. Since national assessments exert a profound influence on what teachers and students choose to teach and learn, the vision of educational technology use supported by national assessments is also examined. The National Council of Teachers of Mathematics Standards (NCTM, 2000. Principles and Standards for School Mathematics. Retrieved April 6, 2002 from http://standards.nctm.org), the National Science Education Standards (National Research Council (NRC) 1996. National Science Education Standards. Available at http://books.nap.edu/catalog/4962.html), and the National Educational Technology Standards (International Society for Technology in Education (ISTE) 2000. National Educational Technology Standards for Students: Connecting Curriculum and Technology, ISTE, Eugene, Oregon) provide different visions of educational technology use in the classroom. In addition, the current technology use policies for national assessments in science and mathematics, in particular the college admission tests (ACT, SAT I and SAT II subject area tests), Advanced Placement (AP) course assessments, and the Praxis Series assessments indicate that while mathematics assessments often recommend or require the use of educational technology, few science assessments permit the use of educational technology by students. Recommendations are offered for science educators regarding teacher preparation for the technology-rich classrooms of the future.  相似文献   

14.
A research-based framework for teaching science is a heuristic tool used to help preservice teachers conceptualize many complexities of teaching while making explicit the strategy to use a research-based body of professional knowledge to inform instructional decision-making (Clough, 2003, Paper presented at the annual meeting of the Association for the Education of Teachers in Science, St. Louis, MO). Elementary preservice teachers frequently struggle to apply this knowledge to classroom decisions (Madsen, 2002, Paper presented at the annual meeting of the North Central Association for the Education of Teachers of Science, Bettendorf, IA). This study examined the effects of using a video case-analysis within an elementary science methods course focused on the development of a research-based framework. Students in two course sections completed a unit plan, and students in one section completed the video analysis. Video analysis students’ performance on an oral defense with the instructor was compared with oral defense performance from students in the unit plan group. Video analysis students outperformed their peers on questions related to how learning theories influence decisions of selecting content, explaining the use of questioning, and the use of self assessment strategies. Despite these differences, students in both groups still perceive teaching as primarily accomplished through activities and have difficulties understanding the critical role of the teacher in promoting student goals. This study raises issues regarding teachers’ knowledge development during preservice experiences.  相似文献   

15.
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16.
The Mathematics education community has long recognized the importance of diagrams in the solution of mathematical problems. Particularly, it is stated that diagrams facilitate the solution of mathematical problems because they represent problems’ structure and information (Novick & Hurley, 2001; Diezmann, 2005). Novick and Hurley were the first to introduce three well-defined types of diagrams, that is, network, hierarchy, and matrix, which represent different problematic situations. In the present study, we investigated the effects of these types of diagrams in non-routine mathematical problem solving by contrasting students’ abilities to solve problems with and without the presence of diagrams. Structural equation modeling affirmed the existence of two first-order factors indicating the differential effects of the problems’ representation, i.e., text with diagrams and without diagrams, and a second-order factor representing general non-routine problem solving ability in mathematics. Implicative analysis showed the influence of the presence of diagrams in the problems’ hierarchical ordering. Furthermore, results provided support for other studies (e.g. Diezman & English, 2001) which documented some students’ difficulties to use diagrams efficiently for the solution of problems. We discuss the findings and provide suggestions for the efficient use of diagrams in the problem solving situation.  相似文献   

17.
There have been substantial reform efforts in science education to improve students’ understandings of science and its processes and provide continual support for students becoming scientifically literate (American Association for the Advancement of Science in Benchmarks for science literacy, Oxford University Press, New York, 1993; National Research Council in Mathematics and science education around the world, National Academy Press, Washington DC, 1996; National Science Teachers Association in NSTA position statement 2000). Despite previous research, it is still unclear whether young children are actually developmentally ready to conceptualize the ideas that are recommended in the reforms (Akerson V, Volrich M (2006) Journal of Research and Science Teaching, 43, 377–394). The purpose of this study was to explore how explicit-reflective instruction could improve young students’ understanding of NOS. During an informal education setting, the authors taught NOS aspects using explicit-reflective instruction. Overall the students participating in the program improved their understanding of the target aspects of NOS through use of explicit reflective instruction. However, the levels of improvement varied across different aspects. Students improved the most in their understanding of the tentative nature of science and the roles of observation in scientific work, although there was still some confusion regarding the distinction between observation and inference. More work needs to be done exploring these specific topics and the role explicit reflective practice can play in identifying the particular problems students have in distinguishing these constructs.  相似文献   

18.
The purpose of the current study was to examine if preservice teachers’ (PSTs) mathematics anxiety decreased and if their beliefs and stereotypes changed after they completed their early childhood mathematics methods course. It was hypothesized that by using and modeling concrete materials or manipulatives (Thompson, 1992; Vinson, 2001) and placing a greater emphasis on conceptual understanding (Bursal & Paznokas, 2006), two strategies identified as reducing PSTs’ mathematics anxiety, negative beliefs, and stereotypes that are associated with math anxiety, would diminish. Thirty preservice teachers, all female, participated in this study. Using a qualitative research approach, measures included midcourse evaluations, a draw-a-mathematician task (Mewborn & Cross 2007), the Abbreviated Math Anxiety Scale (Hopko, Mahadevan, Bare, & Hunt, 2003), and anecdotal notes. Although we were encouraged that the math anxiety experienced by our preservice teachers slightly decreased by the end of the semester, it was discouraging to find minimal change of beliefs and stereotypes of mathematicians. This confirms that many preservice teachers enter teacher education programs with well-established images of how to do school, along with entrenched beliefs about mathematics and their ability to do math (Vacc & Bright 1999) and these beliefs are very difficult to change.  相似文献   

19.
The dramatic growth in the number of children learning English as a second language in our country has led to a corresponding increase in the need to understand how teachers and schools can effectively teach children who are learning English as a second language. Many teachers report not feeling prepared to meet the needs of these children (National Center for Education Statistics, Teacher preparation and professional development: 2000. , 2002). The current study used focus group interviews to examine how Head Start teachers in one program addressed the special learning needs of children learning English in their classrooms. Key challenges involved communicating with children and their families in their home language. Teachers used other staff, parents, and children in the classroom to interpret. Strategies involved visual aids, pictures, gestures, and a welcoming classroom environment. Resources used by teachers were professional development and language skills of other staff. However, available resources were often underutilized and limited for teachers to use in meeting the challenges the teachers faced in the classroom. Suggestions are presented for overcoming the challenges and limited resources encountered by teachers, such as changes in preservice and inservice training opportunities, and second language learning opportunities for teachers. Further implications for training and research are discussed.  相似文献   

20.
Zehavit Gross 《Prospects》2010,40(1):93-113
Research has shown the Holocaust to be the primary component of Jewish identity (Farago in Yahadut Zmanenu 5:259–285, 1989; Gross in Influence of the trip to Poland within the framework of the Ministry of Education on the working through of the Holocaust. Unpublished M.A. thesis, Ben-Gurion University, Beer Sheva, 2000; Herman in Jewish identity: A socio-psychological perspective, Sage, Beverly Hills, 1977; Levy et al. in Beliefs, observations and social interaction among Israeli Jews. Louis Guttman Israel Institute of Applied Social Research (Hebrew), Jerusalem, 1993; Ofer in Jews in Israel: Contemporary social and cultural patterns. Brandeis University Press, Hanover and London, pp. 394–417, 2004a) and to contribute significantly to Jewish Israelis’ sense of belonging to the Jewish people. Though the Holocaust is a central event in Jewish history, Holocaust education is mandatory in the state education system in Israel, and some research has investigated the impact of this education, the field has not been conceptualized systematically (Blatman in Bishvilei haZikaron 7:15–16, 1995; Feldman in Bishvilei haZikaron 7:8–11, 1995; Ofer in Jewish Educ 10:87–108, 2004b; Schatzker in Int J Polit Educ 5(1): 75–82, 1982). This article attempts to organize the existing knowledge on the subject through a meta-analysis of the foundations and basic premises of Holocaust education in Israel, using the most important literature in the area. It first suggests a conceptual framework, organizing by period the changing attitudes toward the Holocaust in general and Holocaust education in particular. It then describes Holocaust education over the years, and finally analyzes the goals of Holocaust education, along with its major dilemmas and challenges.  相似文献   

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