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1.
A 14-week course program was designed to investigate pre-service teachers’ noticing skills and scaffolding practices. Six pre-service teachers were matched with a pair of sixth grade students to observe and scaffold students’ mathematical understanding while they were working on the given tasks. Data was collected through pre-service teachers’ own recorded videos of implementation of tasks, their written reflections about the implementations, videos of group reflections before and after the implementations, and students’ written work. The analysis of data revealed that pre-service teachers mostly noticed students’ errors and strategies during their interactions with students, they attended important instances about students’ thinking and justified their reasoning for their comments in their written reflections. However, while interacting with students, they usually used low level scaffolding practices such as asking for clarification, explanation, and justification rather than attempting to elicit students’ thinking and improve their understanding.  相似文献   

2.
There is an acknowledged gap between the theory presented in university preparation programmes and the reality of classroom practice that has resulted in many secondary mathematics pre-service teachers failing to implement university-endorsed teaching strategies. Using responses to a questionnaire and interviews, this qualitative study examined the factors that support or inhibit secondary mathematics pre-service teachers’ implementation of problem-solving tasks during professional experience. The results showed that even though the majority of pre-service teachers reported having beliefs compatible with using problem-solving tasks, the secondary students’ ability, preparation time, and the cooperating teacher were key factors that inhibited pre-service teachers’ implementation of problem-solving tasks. It is recommended that pre-service teachers regularly visit classrooms to observe the evolving implementation of problem-solving approaches. Furthermore, cooperating teachers should be required to attend professional development before the professional experience so they understand the goals of the university preparation programme and have the requisite skills and knowledge to support the implementation of problem-solving tasks in learning mathematics.  相似文献   

3.
Using algebraic habits of mind as a framework, and focusing on thinking about functions and how they work, we examined the relationship between 18 pre-service middle school teachers’ ability to use the features of the algebraic thinking (AT) habit of mind “Building Rules to Represent Functions” and their ability to recognize and interpret the features of the same AT habit of mind in middle school students. We assessed the pre-service teachers’ own ability to use the AT habit of mind Building Rules to Represent Functions by examining their solutions to algebra-based tasks in a semester-long mathematics content course. We assessed the pre-service teachers’ ability to recognize and interpret students’ facility with the AT habit of mind Building Rules to Represent Functions by analyzing their interpretations of students’ written solutions to algebra-based tasks and their ability to plan and analyze AT interviews of middle school students during a concurrent field-based education course. The data revealed that the pre-service teachers had a limited ability to recognize the full richness of algebra-based tasks’ potential to elicit the features of Building Rules to Represent Functions in students. The pre-service teachers’ own overall AT ability to Build Rules to Represent Functions was related to their ability to recognize the overall ability of students to Build Rules to Represent Functions, as exhibited during one-on-one interviews, but not to their ability to recognize the overall ability to Build Rules to Represent Functions exhibited exclusively in students’ written work. Implications for mathematics teacher education are discussed.  相似文献   

4.
In this study we created, implemented, and evaluated the impact of proportional reasoning authentic investigative tasks on the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers. For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher education programs conducted in Israeli teacher colleges. The conclusion of the study is that application of the model, through which the pre-service teachers gain experience of and are exposed to authentic investigative proportional reasoning tasks with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive change in the pre-service teachers’ mathematical content and pedagogical knowledge. In addition, improvement occurred in their attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular.  相似文献   

5.
Recently, a new cognitive style approach was introduced, which refers to two types of visualizers. This approach is based on neuropsychological evidence and neuroimaging results, which suggest the existence of two distinct imagery subsystems, the object and the spatial imagery subsystems. The goal of the study was twofold: first to examine a possible relationship between this new cognitive style approach and achievement in number sense and algebraic reasoning tasks, and second to explore a possible relationship between the strategies used in solving the aforementioned tasks and cognitive styles. A mathematical test on number sense and algebraic reasoning and the self-report Object–Spatial Imagery and Verbal cognitive style questionnaire were administrated to 83 prospective school teachers (PSTs). The results indicated that spatial imagery, in contrast to the object imagery and verbal cognitive styles, is related to achievement in number sense and algebraic reasoning. In addition to this, the results revealed that the higher the PSTs’ tendency towards spatial imagery cognitive style, the more conceptual and flexible strategies they employ in algebraic reasoning and number sense tasks.  相似文献   

6.
Background: There has been an increasing emphasis on empowering pre-service and in-service science teachers to attend student reasoning and use formative assessments to guide student learning in recent years. Purpose: The purpose of this study was to explore pre-service science teachers’ pedagogical capacity for formative assessment. Sample: This study took place in Turkey. The participants include 53 pre-service science teachers in their final year of schooling. All but two of the participants are female. Design and methods: We used a mixed-methods methodology in pursing this inquiry. Participants analyzed 28 responses to seven two-tiered questions given by four students of different ability levels. We explored their ability to identify the strengths and weaknesses in students’ answers. We paid particular attention to the things that the pre-service science teachers noticed in students’ explanations, the types of inferences they made about students’ conceptual understanding, and the affordances of pedagogical decisions they made. Results: The results show that the majority of participants made an evaluative judgment (i.e. the answer is correct or incorrect) in their analyses of students’ answers. Similarly, the majority of the participants recognized the type of mistake that the students made. However, they failed to successfully elaborate on fallacies, limitations, or strengths in student reasoning. We also asked the participants to make pedagogical decisions related to what needs to be done next in order to help the students to achieve academic objectives. Results show that 8% of the recommended instructional strategies were of no affordance, 64% of low-affordance, and 28% were of high affordance in terms of helping students achieve the academic objectives. Conclusion: If our goal is to improve pre-service science teachers’ noticing skills, and the affordance of feedback that they provide, engaging them in activities that asks them to attend to students’ ideas and reasoning may be useful.  相似文献   

7.
Over the last 50?years, there has been ample research dedicated to mathematics anxiety in contexts of teaching and learning. However, there has been less attention focused on pre-service teachers’ anxieties about teaching mathematics in classroom settings. This study analyzed pre-service teachers’ reflections at the conclusion of an elementary mathematics field experience in order to determine common themes surrounding anxiety-related events based on mathematics practice-teaching experiences. Through qualitative analysis of pre-service teachers’ reflections using open and axial coding, three categories and ten themes surrounding elementary pre-service teachers’ anxiety-related events based on mathematics practice-teaching experiences emerged. Some of the themes presented were ones that increased pre-service teachers’ anxieties for teaching mathematics, whereas other themes reflected aspects of the field experience that decreased anxiety for teaching mathematics. Based on the themes revealed in this study, suggestions for strategies and materials that could be developed for university mathematics methods courses are discussed. Novel perspectives for considering mathematics teaching anxiety, such as locus of control and future time perspective, are shared.  相似文献   

8.
In this paper, we focus on Finnish pre-service elementary teachers’ (N?=?269) and upper secondary students’ (N?=?1,434) understanding of division. In the questionnaire, we used the following non-standard division problem: “We know that 498:6?=?83. How could you conclude from this relationship (without using long-division algorithm) what 491:6?=?? is?” This problem especially measures conceptual understanding, adaptive reasoning, and procedural fluency. Based on the results, we can conclude that division seems not to be fully understood: 45% of the pre-service teachers and 37% of upper secondary students were able to produce complete or mainly correct solutions. The reasoning strategies used by these two groups did not differ very much. We identified four main reasons for problems in understanding this task: (1) staying on the integer level, (2) an inability to handle the remainder, (3) difficulties in understanding the relationships between different operations, and (4) insufficient reasoning strategies. It seems that learners’ reasoning strategies in particular play a central role when teachers try to improve learners’ proficiency.  相似文献   

9.
This study examined pre-service mathematics teachers’ knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4–8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males’ knowledge scores are significantly higher than females’ scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers’ knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers’ positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.  相似文献   

10.
Pre-service teachers need to develop habits of mind that allow them to grow as new teachers. This article describes an elementary mathematics methods course in which teaching as an experiment was used a framework for pre-service teachers to participate in action research by developing learning goals, observing and analyzing student thinking, hypothesizing and enacting teaching strategies, and reflecting on the effectiveness of a lesson. Through analysis of reflections and lesson plans, the article explores three groups of pre-service teachers’ reflections on teaching as well as their confidence across the semester. By treating lessons as experiments, the pre-service teachers were able to develop appropriate teaching responses over time as well as gain confidence in their abilities.  相似文献   

11.
Self-regulated learning has a positive effect on academic outcomes; however, little is known about whether and how teachers at various education levels promote it in their classes. Video-based classroom observations were conducted to assess primary and secondary school mathematics teachers’ direct and indirect promotion of self-regulated learning (SRL). Teachers’ implicit and explicit instruction of SRL strategies (direct promotion of SRL) and the learning environment they created (indirect promotion of SRL) were rated according to how conducive they were to self-regulation. In addition, semi-structured interviews were conducted with the secondary school teachers to gain insight into their subjective views on SRL. Although the teachers’ instructional practices could foster SRL, teachers spent little time explicitly teaching SRL strategies. Moreover, they taught mainly cognitive strategies and very few metacognitive strategies. These results were more pronounced at the primary level than at the secondary level. Primary school teachers provided learning environments conducive to self-regulation more often than secondary school teachers did. The interviews revealed that the teachers lacked knowledge about metacognition as an important component of SRL and were rather reluctant to promote it; however, most of them valued cognitive and motivational components of SRL. Primary and secondary school teachers need training to enhance their direct and indirect instruction of SRL. They could benefit in particular from learning about explicit instruction of SRL strategies and metacognition.  相似文献   

12.
Abstract

Values, moral values and democratic values are attracting the attention of education researchers in general and mathematics education researchers in particular. Little research has studied pre-service teachers’ perceptions of values in the classroom, their perceptions of the relationship between the different variables of values in the classroom, as well as their relationship with the democratic society. The present research attempts to do so. Twenty-two graduate pre-service teachers who participated in ‘New trends in mathematics education’ course discussed how to cultivated values in the mathematics classroom. Moreover, they answered survey questions related to the cultivation of values in this classroom. We used a combination of deductive and inductive content analysis to characterize the pre-service teachers’ texts. The research results indicate that the pre-service teachers perceived values as encouraging students’ activity in the mathematics classroom. In addition, the pre-service teachers perceived values as encouraging specific categories of values needed as skills for the citizen in a democratic society, as creativity, critical thinking and metacognition.  相似文献   

13.
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14.
在幼儿师范学校,数学是一门重要的文化课程,研究分析幼师女生数学学习情况显得十分重要.从问卷调查并结合观察法和谈话法了解到,幼师女生大多数对数学有一定的兴趣,但数学感知能力差,数学概括能力、抽象能力、空间想象能力不强,数学推理能力、联想能力、思维转换能力薄弱.为了提高幼师数学素质教育的水平,可以从知识传授、能力培养、德育渗透三方面设计教育教学策略.  相似文献   

15.
This article explored the impact of strategies applied in a mathematics instructional technology course for developing technology integration competencies, in particular in the use of spreadsheets, in pre-service teachers. In this respect, 104 pre-service mathematics teachers from a teacher training programme in Ghana enrolled in the mathematics instructional technology course for one semester. Strategies applied in designing the course were: aligning theory and practice, collaborative design, learning technology by design, modelling how to use technology and scaffolding authentic technology experiences. The pre-service teachers’ technology integration competencies were assessed through analysis of lesson plans and lesson observations, their self-reported technological pedagogical content knowledge and attitudes towards technology. Findings show that pre-service teachers’ technology integration competencies improved after participation in the course. All strategies were considered important, but in particular, scaffolding authentic technology experiences including feedback from teaching try-outs made significant contributions to the pre-service teachers’ developed technology integration competencies. The study provides guidelines that can serve as a benchmark for implementing strategies in the design of a subject-specific teacher education programme in preparing pre-service teachers to integrate technology in teaching.  相似文献   

16.
ABSTRACT

Two major concerns in mathematics teacher education are the role of subject matter knowledge and the development of self-efficacy in pre-service teachers. This article brings these issues together in an exploration of the interaction between pre-service teachers’ perceptions of their subject matter knowledge and their accounts of university and placement experiences as potential sources of self-efficacy. Reporting on a group of ten pre-service teachers in Norway, we explore variations in the ways in which they perceived the role of subject knowledge in relation to experience, particularly “mastery experiences”, over a period of nearly two years. We suggest that recognition of the role of “understanding why” in mathematics is crucial in the experience of mastery, and that there is a need to focus more on the role of subject matter knowledge in all sources of self-efficacy in teaching mathematics.  相似文献   

17.
Mathematics teacher education aims to improve teachers’ use of mathematical knowledge to support teaching and learning, an aspect of pedagogical content knowledge (PCK). In this study, we interviewed teachers to understand how they used mathematics to make sense of student solutions to proportional reasoning problems. The larger purpose was to find accurate ways of categorizing teachers’ ability to do this vital aspect of teaching and thereby to inform assessment, teacher education, and professional development. We conjectured that teachers’ PCK for proportional reasoning could be reliably described in terms of attention to quantitative meanings in story problem contexts and in terms of understanding naïve forms of proportional reasoning. Instead, our findings reveal that individual teachers used a variety of means to make sense of (1) cognitively similar student solutions to different tasks and (2) mathematically related steps of a student solution within a single task. These findings illustrate the complexity of PCK for the topic of proportional reasoning and suggest the limits of what can be inferred about teacher knowledge from teachers’ evaluations of student solutions. We discuss implications for teacher education and assessment.  相似文献   

18.
Abstract

It was hypothesized that Ss who demonstrate mastery of linear metric conversion tasks on which they have received explicit instruction will demonstrate mastery of other linear metric conversion tasks, metric volume conversion tasks, and metric mass conversion tasks with no explicit instruction. Ninety-nine pre-service elementary teachers were presented with a tutorial instructional module on basic terminology of the metric system. The module and all tests were mediated by an IBM 1500 Computer-Assisted Instruction system located in Penn State University’s CAI Laboratory. The results supported each hypothesis of the investigation.  相似文献   

19.
To prepare pre-service teachers to work with diverse student populations, many teacher educators have developed community-engaged projects. This study analyzes data collected from pre-service teachers in the U. S. South as they completed a community-engaged project, where they spent time learning about the community, created a virtual tour, and revised a lesson plan to align with the information gained. The project is offered as a mediational tool contributing to pre-service teachers’ conceptions of community and teaching. Findings suggest that pre-service teachers need explicit instruction about how to analyze communities and opportunities to learn with community members during teacher education.  相似文献   

20.

Pedagogical beliefs are a critical factor in terms of integrating technology into teaching, but very few technology acceptance models (TAMs) have considered them. Hence, this study aims to extend the TAM by incorporating pre-service teachers’ conception of teaching and learning. The revised model examined the influence of pre-service mathematics teachers’ constructivist and traditional pedagogical beliefs on their technology acceptance through perceived ease of use, perceived usefulness, attitude toward technology, and behavioral intention to use. Survey data were collected from 714 pre-service mathematics teachers in Turkey and analyzed through path analysis. The results showed that pre-service mathematics teachers’ pedagogical beliefs were more constructivist-oriented than traditional-oriented, and constructivist beliefs had a significant influence on the components of the TAM. On the other hand, pre-service teachers’ traditional-oriented beliefs did not influence their perceived usefulness of and attitudes toward technology but had positive effects on perceived ease of use. Implications for pre-service mathematics teacher education were discussed.

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