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1.
Beliefs and practices related to mathematics were assessed for 21 fourth- through sixth-grade teachers. At the beginning and the end of the school year teachers’ beliefs about (1) the nature of mathematics (i.e., procedures to solve problems versus a tool for thought), (2) mathematics learning (i.e., focusing on getting correct solutions versus understanding mathematical concepts), (3) who should control students’ mathematical activity, (4) the nature of mathematical ability (i.e., fixed versus malleable), and (5) the value of extrinsic rewards for getting students to engage in mathematics activities were assessed. (6) Teachers self-confidence and enjoyment of mathematics and mathematics teaching were also assessed. Analyses were conducted to assess the coherence among these beliefs and associations between teachers’ beliefs and their observed classroom practices and self-reported evaluation criteria. Findings showed substantial coherence among teachers’ beliefs and consistent associations between their beliefs and their practices. Teachers’ self-confidence as mathematics teachers was also significantly associated with their students’ self-confidence as mathematical learners.  相似文献   

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3.
This study explored preschool teachers' beliefs about the appropriateness of early literacy and mathematics education. In all, 60 teachers of 4-year-olds, half working with low-socioeconomic status (SES) children at publicly funded preschools and the other half with middle-SES children at private preschools, were randomly assigned to read either the mathematics or the literacy versions of written vignettes describing issues related to teaching these subjects. Teachers were interviewed individually concerning the vignettes. Analyses showed that teachers of middle-SES children tended to support literacy and mathematics education that respects individual children and their preferences and to oppose classroom use of computers; overall they emphasized nonacademic areas. Teachers of low-SES children tended to focus on literacy and mathematics to prepare children for kindergarten and to support computer use; they showed concern about their students' underdeveloped readiness to learn, particularly literacy. Analyses comparing subject matter showed that for literacy, teachers preferred to gear a curriculum toward children's interests and to allow children to follow their interests in a literacy-rich classroom to promote social competence and positive dispositions toward literacy. For mathematics, teachers preferred to embed mathematics into everyday routines to promote the learning of key knowledge and skills throughout the day. These findings have significant implications for professional development.  相似文献   

4.
This paper reports a study of the classroom assessment practices of 12 sixth form college mathematics teachers in Malta. It explores the extent to which these teachers are knowledgeable about their students’ learning of mathematics and the implications that this has for their classroom practices. It reveals that these teachers’ knowledge of their students’ understanding of certain mathematical concepts is fairly limited. It then goes on to discuss this phenomenon in terms of a process that can hinder rather than promote learning. The research illuminates the position of teachers who appear to lack certain detailed information about their students which, it can be argued, could inform more effective teaching strategies. The paper concludes by exploring possible implications for similar situations where learning could be enhanced by more effective classroom assessment strategies and their use to inform future teaching and learning activities.  相似文献   

5.
Planned instruction is an important teaching form in early childhood mathematics education, but some educators are concerned about its developmental appropriateness. The present study was undertaken to address this issue. One hundred and seven American preschool teachers participated in the study: They watched a video-taped math lesson that was conducted in a 4-year-olds’ classroom in China and answered video-cued questions in a questionnaire. A mix of qualitative and quantitative methods was used in analyzing the data. Research Findings: Results show that on average, participants rated the quality and developmental appropriateness of the lesson as high. They acknowledged children’s active learning, teacher’s careful preparation, and use of different learning methods. But, they also identified inadequate elements such as lack of peer interactions and lesson differentiation. Practice or Policy: A relief of American preschool teachers’ current beliefs regarding the developmental appropriateness of math lessons provides critical reference for professional preparation/development programs. American preschool teachers’ high value of children’s active learning in a planned math lesson and their appreciation of teacher’s skillful guidance imply an imperative need to promote American preschool teachers’ pedagogical knowledge and skills in teaching mathematics to young children.  相似文献   

6.
This was a correlational study conducted with a population of prekindergarten educators from a large, metropolitan school district. The purpose was to examine if there were relationships between and among early childhood teachers’ sense of self-efficacy, their beliefs about the importance of mathematics, and their mathematics instructional practices. Examining teachers’ efficacy and beliefs can inform educational practice and help to differentiate between more and less successful instructional practices when teaching mathematics in the early childhood classroom. Data were collected on teacher efficacy and teacher beliefs about the importance of mathematics with two self-report questionnaires. The hypothesis that the teachers higher in efficacy will rate the importance of mathematics higher on the teacher-belief scale than the teachers with lower efficacy was found to be true with this sample, but the correlation was weak. The level of efficacy of the early childhood teachers in this sample confirmed that in assessing their capabilities, they rate themselves high in instructional strategies, classroom management, and student engagement. The early childhood teachers did not rate their belief in mathematics as high as their efficacy. Observations of mathematics instructional practices were conducted with twenty teachers. It was hypothesized that the combination of high teacher efficacy and high teacher mathematics beliefs would show alignment with the presence of standards-based mathematics instructional practices. The results were not statistically significant. No correlation signals a need for more research to explore what other personal or external factors relate to mathematics instructional practices in the early childhood classroom. The research may inform pre kindergarten teachers and teacher educators about effective instructional strategies and knowledge needed to launch early childhood students on a developmentally appropriate pathway to mathematical literacy.  相似文献   

7.
This report examines teachers’ self-espoused attitudes and beliefs on proving in the secondary mathematics classroom. Conclusions were based on a questionnaire of 78 US mathematics teachers who had completed at least 2 years of teaching mathematics at the secondary level. While these teachers placed importance on proving as a general mathematical skill, when they discuss their own classrooms, procedural skill consistently surpasses proof-related activities in importance for a majority of high school teachers. Furthermore, teachers labeling their own past experiences in proving as causing anxiety are predictably more likely to put less value on proving. Interestingly, the quantity of past college mathematics courses is a reverse predictor indicating that further study should consider how students perceptions of proving change as they pass through a mathematics major.  相似文献   

8.
Educational reforms during the last decade have led to a more inclusive environment for students with different needs and have placed demands on teachers’ readiness to instruct diverse students in the general classroom. Previous research has ascertained that student achievement is correlated with teacher quality and teachers’ efficacy beliefs. Today, basic competence in mathematics is more important than ever for managing routine day‐to‐day activities and therefore, identifying and educationally supporting students with low performance in mathematics is necessary. The aim of the study was to investigate the perceived teacher efficacy beliefs of special education and mathematics teachers when teaching mathematics to low‐performing middle school students. Results indicated that special education teachers had higher teacher efficacy beliefs than mathematics teachers. Teacher experience, certification or gender had no effect on teachers’ efficacy beliefs. Furthermore, subject teachers reported high pedagogical knowledge for teaching low‐performing students, and special education teachers reported having moderate mathematical subject knowledge.  相似文献   

9.
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   

10.
Exploring Changes in Pre-service Elementary Teachers' Mathematical Beliefs   总被引：2，自引：0，他引：2  
Research literature (e.g., Thompson, 1992)suggests that teachers' beliefs about thenature of mathematics provide a strongindicator of their future teaching practices. Moreover, current reform efforts (e.g., NCTM,2000) ask teachers to lead mathematicalexplorations that allow their own students toconstruct mathematics. Understandingprospective teachers' mathematical beliefs andthe circumstances under which these beliefsmight be changed is therefore critical toteacher educators. In this paper we describethe culture of a mathematics content course forprospective elementary teachers that isdesigned to provide participants with authenticmathematical experiences and to fosterautonomous mathematical behaviors. Using bothsurvey and interview data, we exploredparticipants' beliefs about the nature ofmathematical behavior both at the commencementand at the completion of the course. We arguethat the participants' beliefs became moresupportive of autonomous behaviors during thecourse. We report that students attributedchanges in beliefs to specific classroom socialnorms and sociomathematical norms that includedfacets of work on ``big' problems withunderlying structures, a broadening in theacceptable methods of solving problems, a focuson explanation and argument, and theopportunity to generate mathematics as aclassroom community.  相似文献   

11.
In China, preschool curriculum has undergone reform and profound changes. Much remains unknown, however, regarding preschool teachers’ teaching beliefs after 30 years of curriculum reform and adaptation. This study aimed to address the issue and investigate teachers’ beliefs concerning teaching mathematics. Twelve preschool teachers in China participated in the study: they watched videos of mathematics lessons conducted in the US and were interviewed with questions regarding the lessons. Qualitative analysis was then applied; themes were searched from the participants’ responses. The study revealed that Chinese preschool teachers acknowledged the features of (a) active learning, (b) involving every child, and (c) connecting lessons with everyday activities. However, they believed that their own teaching would be more purposeful: they would choose a specific content focus, use a series of steps, and make explicit summary at the end. The study also revealed Chinese preschool teachers’ solid specialized content knowledge in mathematics.  相似文献   

12.
Early childhood preservice teachers participated in a qualitative multiple case study to explore and examine the effectiveness of reform-based constructivist methods used in a mathematics methods course to change their mathematics anxiety, mathematics self-efficacy, and mathematics teachers’ efficacy beliefs. Findings indicated that instructor’s use of a variety of reform-based strategies to teach and model concepts were effective in reducing their mathematics anxiety and improving their mathematics self-efficacy and mathematics teaching efficacy beliefs. Based on these findings, it is recommended that mathematics methods course instructors use reform-based constructivist methods in their courses as outlined by the NCTM’s (2014) principles. Teacher educators must also consider carefully their attitudes and disposition toward mathematics along with the type of classroom and learning environment they establish in mathematics methods courses. They must emphasize conceptual understanding during mathematics methods courses, understand the connection between preservice teachers’ mathematics anxiety and mathematics efficacy beliefs, and integrate field experiences as well as peer teaching opportunities into mathematics methods courses.  相似文献   

13.
Research Findings: This study examined the consistency between early childhood teachers' self-reported curriculum beliefs and observations of their actual interactive behaviors with children in classrooms. Also tested was the hypothesized moderation by teacher and classroom characteristics of the association between beliefs and practices. A total of 58 preschool teachers completed a survey describing their professional backgrounds and curriculum beliefs. Their classroom practices were observed using a newly developed instrument that documented teacher interactions with children. Most teachers in this sample strongly endorsed child-initiated learning beliefs, although their beliefs about teacher-directed learning varied considerably. The most frequently observed teacher behaviors in the classroom were giving directions to children, responding to children's initiations, and engaging in non-interactive classroom management activities. Overall, teachers' curriculum beliefs and observed classroom practices were weakly correlated. However, there were moderation effects. Stronger congruence between teacher-directed learning beliefs and observed teaching behaviors was found among teachers who had more professional training and more years of teaching experience. Practice or Policy: These results support the importance of early childhood teacher professional development. They suggest that teacher preparation and professional development programs should focus on the intellectual transformation between teacher knowledge and teacher practice, promoting both aspects of development.  相似文献   

14.

Teachers’ beliefs play a significant role in students’ academic attainment and career choices. Despite comparable attainment levels between genders, persistent stereotypes and beliefs that certain disciplines require innate ability and that men and women have different ability levels impede students’ academic career paths. In this study, we examined the prevalence of US mathematics teachers’ explicit general and gender-specific beliefs about mathematical ability and identified which teacher characteristics were associated with these beliefs. An analysis of data from 382 K-8 teachers in the USA indicated that overall, teachers disagreed with the idea that general and gender-specific mathematical ability is innate and agreed with the idea that hard work and dedication are required for success in mathematics. However, our findings indicate that those who believed mathematics requires brilliance also tended to think girls lacked this ability. We also found that teachers who were teaching mathematics to 11- to 14-year-old students seemed to believe that mathematics requires innate ability compared with teachers who were teaching mathematics to 5- to 10-year-old students. In addition, more experienced teachers and teachers who worked with special education students seemed to believe less in the role of hard work in success in mathematics, which could have serious consequences for shaping their students’ beliefs about their academic self-concept and future career-related decisions.

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15.
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   

16.
This study examines how various teacher characteristics and contextual factors are related to early primary teachers’ beliefs about mathematical teaching and learning and teachers’ attitudes toward their own learning of mathematics. A total of 396 early primary teachers across Nebraska participated in the study. Teacher characteristics and contextual factors were grouped into four sets: teacher professional background, teacher mathematical knowledge for teaching, teaching contexts, and students’ experiences. Multiple regression analyses were conducted with each set of predictors separately, as well as with all four sets together. The results showed significant relationships between teachers’ mathematical knowledge for teaching and teacher-centered beliefs, motivation in learning mathematics, and anxiety toward learning mathematics. Teacher certification level, the number of college math courses taken, and perceived support from colleagues and administrators were also related to some aspects of teachers’ mathematical beliefs and attitudes. The findings suggest the potential role of teachers’ mathematical knowledge for teaching in improving teachers’ mathematical beliefs and attitudes.  相似文献   

17.
The challenge that we address concerns teachers’ shifts toward student-centered instruction. We report on a yearlong professional development study in which two United States elementary school teachers engaged in a teaching experiment, as described by Steffe and Thompson (in: Lesh and Kelly (eds) Research on design in mathematics and science education, 2000). The teaching experiment involved close mathematical interactions with a pair of students after school, in the context of solving fractions tasks. By conducting a teaching experiment, we anticipated that each teacher would have more opportunity to develop insight into students’ mathematics. We also anticipated that these insights would influence the teachers’ classroom practice, even without explicit support for such a shift. Indeed, the teachers found that they began asking more probing questions of their students and spending more time listening to students’ explanations, but shifts to classroom practice were limited by constraining factors such an inflexible curriculum.  相似文献   

18.
Many in the field of mathematics education call for elementary schools to have elementary mathematics specialists (EMSs) who provide needed mathematical expertise and support for children and teachers. EMSs serve as a reasonable, immediate alternative to the challenges generated by elementary teachers needing improved mathematical knowledge for teaching in the classroom. However, limited inquiry has explored how to best prepare EMSs and how program features and learning activities influence their development. This mixed-method study identifies some of the interrelated benefits from a K-5 Mathematics Endorsement Program designed to prepare EMSs through examining changes in mathematical beliefs, specialized content knowledge (SCK), and classroom teaching practices during the program. Data (n = 32) were collected over the 2-semester program via belief surveys, a content knowledge assessment, observations of teaching practices, and individual interviews from elementary teachers participating in the program. The findings show some changes in beliefs can be made relatively quickly, other shifts in beliefs take more time and continued support, and changes in SCK and adoption of various aspects of standard-based pedagogy require considerably greater opportunities to learn. The described program features and learning experiences provided a context for these changes and offer considerations for EMS preparation programs.  相似文献   

19.
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   

20.
This paper examines the perceptions and understandings of ten grades 1 and 2 Singapore mathematics teachers as they learned to use clinical interviews (Ginsburg, Human Development 52:109–128, 2009) to understand students’ mathematical thinking. This study challenged teachers’ pedagogical assumptions about what it means to teach for student understanding. Clinical task-based interviews opened a window into students’ knowledge, problem-solving and reasoning, and helped teachers reflect on their teaching and assessment of student learning. Teachers also learnt about what it means to establish a culture of thoughtful questioning in the classroom and developed an emerging awareness that this requires a readiness to hear students’ ideas and connect informal or invented strategies with classroom mathematics.  相似文献   

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