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1.
Photovoice is a participatory action research tool that is grounded in the literature for critical consciousness (Wang & Burris, 1997). Four creative high school girls who reported struggles with mathematics were given cameras and asked to take photographs to answer the following questions: (1) What is mathematics? (2) What is your ideal learning environment? (3) What things impede your learning of mathematics? Within-case and cross-case analyses of the photographs and interview responses were conducted. Each individual case was analyzed using the work of Belenky, Clinchy, Goldberger, and Tarule (Women’s Ways of Knowing, 1986) who investigated women’s epistemological perspectives. The girls were either silenced (disconnected from the mathematical knowledge of the teacher), received (lacked confidence to do mathematics independently), or “fragily” subjective (viewed mathematical knowledge as personal rather than imparted by the teacher) knowers of mathematics. The use of photovoice has the power to facilitate the nurturing of silence as it moves toward the “roar which is on the other side of silence” (Belenky et al., 1986, p. 4).  相似文献   

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Students’ judgments about “what counts” as mathematics in and out of school have important consequences for problem solving and transfer, yet our understanding of the source and nature of these judgments remains incomplete. Thirty-five sixth grade students participated in a study focused on what activities students judge as mathematical, and how they make their judgments. Students completed a photo sorting activity; took, viewed, and captioned their own photos of mathematics; viewed and commented on classmates’ photos; and participated in a small group discussion. Across multiple sources of data, findings showed that students attended to two major features of photos and activities when making judgments: surface cues present in the photos, such as numbers and money, and the possibility for mathematical action. Some students looked for the possibility of mathematics, while others asked if mathematics was necessary. Students also gave higher ratings to activities with which they had personal experience. The article concludes with possible implications for practice.  相似文献   

3.
Integrating multiple theoretical frameworks, the authors examined rising first- to fourth-grade students’ mathematics utility conceptions—their knowledge and beliefs about the usefulness of mathematics, home-based mathematics engagement, and grade-level differences in mathematics utility conceptions and home engagement. Most children viewed mathematics as heavily focused on low-level mathematics operations and as learned and used primarily in school. Older children showed more awareness of mathematics as part of daily living, but still viewed mathematics as mostly school-based—more so than their younger counterparts. Results suggest that awareness of mathematics in daily life may be associated with children’s mathematics utility value (perceived usefulness of mathematics). Although children engaged in activities at home with the potential to foster mathematics development, the frequency of engagement was not related to their awareness of mathematics in daily activities. Thus, there may be untapped opportunities for young children to connect the mathematics they learn in school to their daily life.  相似文献   

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In the context of mathematics teachers’ training, the concept of dépaysement épistémologique (epistemological disorientation) emphasizes that the contact with the history of mathematics, particularly with the use of original sources, pushes aside commonplace students’ perspectives about the discipline and offers them a critical look towards mathematics’s historical, social and cultural aspects. Conceptually supported by the theory of objectivation, an emergent sociocultural theory in mathematics education, this study describes the dépaysement épistémologique lived by future mathematics teachers engaged in the reading of historical texts. A phenomenological approach allowed us to clarify various meanings associated with students’ lived experiences and a dialogical perspective provides a way to get these meanings in tension through a polyphonic narration. Our reading of this polyphonic narration suggests that dépaysement épistémologique associated with the reading of historical texts encouraged empathy from students towards the authors and their future learners, opening up the possibility for a nonviolent mathematics education.  相似文献   

5.
A new approach to the teaching and learning of mathematics has been introduced on a phased basis in post-primary education in Ireland. As part of the OECD PISA 2012, a survey was undertaken of in-service mathematics teachers in Ireland, with the aim of gathering data on the opinions of teachers about this reform. Here, a modified version of the survey was distributed to pre-service teachers immediately before and after a four-month teaching placement to ascertain if there were differences in the views expressed by pre-service and in-service teachers in relation to the teaching and learning of mathematics, and also if there were differences expressed by the pre-service teachers before and after their placement in post-primary schools. Analysis of the results showed considerable levels of agreement between all groups, with some exceptions in relation to confidence in teaching the reformed curriculum, emphasis on various teaching and learning activities, and usage of ICT in the classroom.  相似文献   

6.
Research suggests that understanding new images of mathematics is very challenging and can contribute to teacher resistance. An explicit exploration of personal views of mathematics may be necessary for pedagogical change. One possible way for exploring these images is through mathematical metaphors. As metaphors focus on similarities, they can be used to express already-held perceptions about the nature of mathematics. In addition to providing a way of talking about current views of mathematics, the analogous dimensions of metaphors can prompt new ways of thinking about these images. In this article, I consider the use of metaphors as a strategy for explicating elementary teachers’ views of mathematics. I claim that the investigation of metaphors of mathematics helped create a shared communicative space and enhanced the quality of the discussion with the teachers. In particular, our exploration of the metaphor mathematics is a language encouraged a consideration of the humanistic dimensions of mathematics and contributed to a varied re-imaging of mathematics.  相似文献   

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Not much is known about mathematics teachers’ values, and no assessment tool is available for measuring these to get more insight into their perspectives. The goals of this study are to construct the Mathematics Teachers’ Values Questionnaire (MTVQ) and to determine mathematics teachers’ values about teaching mathematics using the MTVQ. In order to do this, data have been gathered for exploratory factor analysis (n = 637) and confirmatory factor analysis (n = 573) while developing the instrument, and a proportional stratified random sample has been formed consisting of 2226 Turkish middle and high school mathematics teachers working at schools that provide more religious education than other middle and high schools. Five components have been extracted: relevance (C1), practice (C2), information and communications technology (ICT; C3), teaching approach (C4), and consolidating (C5). One result of the study reveals the mathematics teachers emphasize the least ICT value and the most consolidating value.  相似文献   

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This study was conducted to investigate the effectiveness of a treatment designed to improve college algebra students’ attitudes toward mathematics. Keller’s ARCS motivational design model was used as a guiding framework for the development of a motivational video, which was delivered online. The application of motivational design to improve mathematics attitudes in an online environment extends the use of motivational design. A pretest-posttest control group design was used to test the effectiveness of the treatment. The participants in this study were 43 students enrolled in a college algebra course offered at a large state university in the mid-Atlantic region of the United States. Statistically significant results were observed for improved attitudes toward mathematics.  相似文献   

12.
This paper through the theoretical framework of constructive attitude theory explores mathematics teachers’ attitudes and pedagogical strategies with reference to inclusive practice. The authors argue that though teachers may have formed positive inclusive attitudes, the translation of these into practice does not always occur and poses significant challenges.  相似文献   

13.
In this commentary I will address the notions of work, the need for innovation, and the role of workplace mathematics. I will then provide an overview of some of the complex issues that confront the subfield of vocational mathematics education with consequences for current and future workers, drawing in part on the work of Basil Bernstein. Finally, I will address the question of workplace research and offer some possible directions for future research, as well as implications for policy. Reflections on the articles included in this special issue will frame the discussion.  相似文献   

14.
This study investigated the association between students’ perception of the learning environment and three aspects of their mathematics attitude: ‘mathematics academic self-concept’, ‘enjoyment of mathematics’ and ‘perceived value of mathematics’. The focus was on the association of students’ mathematics attitude with four dimensions in the learning environment: the extent to which the teacher ‘motivates to exert learning effort’, ‘activates towards self-regulated learning’, ‘gives feedback and coaches’, and ‘structures and steers’. Data were obtained from an extended version of the international Trends in Mathematics and Science Study (TIMSS) of 2003. Multilevel analysis on a sample of 4354 eighth grade students in 228 classes in 119 schools in Flanders (Belgium) indicated that the learning environment plays a significant role in the enjoyment of mathematics. This while the mathematics academic self-concept and the perceived value of mathematics are insensitive for aspects in the learning environment.  相似文献   

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In this study we investigated whether elementary mathematics teachers’ knowledge of their students, as reflected in both the accuracy and confidence with which they are able to estimate their students’ task-specific performance on sets of mathematics problems, predicted students’ overall mathematics achievement. Thirty-nine teachers made predictions about the performance of a random sample of target students (n = 150) in their classrooms on sets of “easy” and “difficult” multiplication and division problems. Teachers also provided confidence ratings for those judgments. From these data, indicators of teachers’ judgment accuracy, judgment confidence and calibration accuracy (a measure of metacognitive monitoring) were then related to all of their students’ (n = 834) performance on year-end standardized mathematics achievement tests. Multilevel analyses indicate that teachers’ calibration accuracy, but not their task-specific judgment accuracy, significantly predicted students’ mathematics achievement. Implications for future research on teacher knowledge as well as professional development programs are discussed.  相似文献   

17.
One of the aims of this study is to examine whether the worst experiences and most troublesome mathematics classroom experience affect mathematics anxiety in pre-service elementary teachers. Another goal is to find out how the causes of their anxiety relate to these negative experiences. The participants were 167 senior elementary pre-service teachers. Three different instruments were used to collect data; Mathematics Anxiety Rating Scale, Worst Experience and Most Troublesome Mathematics Classroom Experience Reflection Test, and Interview Protocol. The findings show that many pre-service teachers have mathematics anxiety and that the worst experience and the most troublesome mathematics classroom experience have a direct influence on mathematics anxiety in pre-service teachers. Also, the majority of instances of participants’ mathematics anxiety are caused by the teachers, their behavior or teaching approaches in their past.  相似文献   

18.

This paper provides an empirical exploration of mathematics teachers’ planned practices. Specifically, it explores the practice of foreshadowing, which was one of Wasserman’s (2015) four mathematical teaching practices. The study analyzed n?=?16 lessons that were planned by pairs of highly qualified and experienced secondary mathematics teachers, as well as the dialogue that transpired, to identify the considerations the teachers made during this planning process. The paper provides empirical evidence that teachers engage in foreshadowing as they plan lessons, and it exemplifies four ways teachers engaged in this practice: foreshadowing concepts, foreshadowing techniques, foregrounding concepts, and foregrounding techniques. Implications for mathematics teacher education are discussed.

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19.
《Africa Education Review》2013,10(3):568-587
Abstract

To meet the demands of our highly technological and globally competitive society, it is becoming increasingly important for all learners in South Africa to obtain skills and knowledge in mathematics. However, South Africa performed the worst of all the countries who participated in the Trends in International Mathematics and Science Study (TIMMS). Education in South Africa is now confronted with the dilemma of how to improve the mathematics performance of learners. One way of dealing with this dilemma is to apply Howard Gardner's Theory of Multiple Intelligences in the classroom. This intervention should contribute positively to the South African Government's Foundation for Learning Campaign. This article suggests specific ways in which teachers can incorporate the different intelligences in their teaching and learning activities in the mathematics classroom. Recommendations are made for the application of the Multiple Intelligences Theory in the mathematics classroom, and topics for future research are suggested.  相似文献   

20.
《Africa Education Review》2013,10(2):280-293
ABSTRACT

The objective of the current study was to analyse the impact of teachers’ personal theory and beliefs (PTB) towards Mathematics teaching. A total of 183 respondents were involved in this study, using the stratified random sampling method with Cronbach's alpha of 0.87. Due to the objective of the research and the hypothesis, it was positioned within the positivist paradigm following a survey design, concentrating on Bachelor of Education and Postgraduate Certificate Education students, with a quantitative approach. The instrument of data collection was a structured questionnaire schedule. All selected respondents (using a questionnaire) were students of University of Fort Hare, enrolled in either the Bachelor of Education (BEd) or Postgraduate Certificate of Education (PGCE) programme. Using analysis of variance (ANOVA), the results revealed that there was no significant effect of age and race on learning of Mathematics amongst BEds and PGCEs candidates.  相似文献   

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