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1.
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   

2.
在高职数学应用案例教学的过程之中,教师应对教学方案不断地进行优化创新,以培养学生的实际能力为核心,倡导教师引导学生运用所学知识解决实际生活中的问题,并要结合学生现有的数学水平制定不同的教学方法,依据实际情况对高职数学应用案例进行深层次的探讨,注重教学过程中的主体,让学生们培养能够独立思考和合作学习的良好学习习惯。本文对高职数学应用案例教学进行了深入了探讨,以提高高职数学的学习效果。  相似文献   

3.
The research study this article is based on aims to implement research knowledge to teaching, that is, the concept of critical aspects and dimensions of variation used in the variation theory. To do this, the researchers worked with willing teachers to explore how to make mathematics teaching more effective. This paper illustrates how teachers make use of a learning theory, the variation theory, as well as their own professional expertise and collaboration to help students improve their mathematical understanding of subtraction as well as their learning of it. The students’ tests, examinations of students’ mathematical work, the teachers’ lessons plan and reports of the instructions for lessons form the data base for the article. The analysis indicates that one of the critical aspects in the process of implementation of the variation theory in the teachers’ practice was to identify the critical aspects in students’ learning. Another critical aspect in the implementation of the variation theory was to open up dimensions of variation in the identified critical aspects of the students. By giving teachers the possibility to develop the ability to identify critical aspects in students’ learning, dimensions of variation are opened up in these aspects, and by applying this knowledge in the daily teaching, they have the possibility to improve students’ learning. The findings suggest that developing an understanding of the students’ critical aspects can be a productive basis in helping teachers make fundamental changes in their instructions and improve students’ learning.  相似文献   

4.
Mathematics teachers play a unique role as experts who provide opportunities for students to engage in the practices of the mathematics community. Proof is a tool essential to the practice of mathematics, and therefore, if teachers are to provide adequate opportunities for students to engage with this tool, they must be able to validate student arguments and provide feedback to students based on those validations. Prior research has demonstrated several weaknesses teachers have with respect to proof validation, but little research has investigated instructional sequences aimed to improve this skill. In this article, we present the results from the implementation of such an instructional sequence. A sample of 34 prospective secondary mathematics teachers (PSMTs) validated twelve mathematical arguments written by high school students. They provided a numeric score as well as a short paragraph of written feedback, indicating the strengths and weaknesses of each argument. The results provide insight into the errors to which PSMTs attend when validating mathematical arguments. In particular, PSMTs’ written feedback indicated that they were aware of the limitations of inductive argumentation. However, PSMTs had a superficial understanding of the “proof by contradiction” mode of argumentation, and their attendance to particular errors seemed to be mediated by the mode of argument representation (e.g., symbolic, verbal). We discuss implications of these findings for mathematics teacher education.  相似文献   

5.
This paper explores the value of participatory action research in a community college developmental mathematics course. The authors used the framework of critical mathematics education in order to understand the critical conversations of students about their learning experiences, and also to help the instructor of the course develop the curriculum that attended to student experiences. The authors also draw on Michel de Certeau’s ideas about strategies and tactics to understand how students responded to their past learning experiences. Data results from the study show that students can gain a better understanding of their own learning and subsequently develop deeper content knowledge when they are more involved in the teaching and learning process. Lastly, the authors conclude that as adult learners grow in their understanding of the learning processes and of the content being presented, participatory action research can play an important role in the entire development of thinking and intellectual engagement.  相似文献   

6.
For the last 10 years, online pre-service teacher distance education has increased significantly in Brazil. As a result, research on this educational modality has also increased, in particular, research investigating the different roles students and teachers play in these courses. The purpose of this paper is to analyze the role of digital technologies in two specific contexts: how teachers, tutors, and students play a role in producing interactive digital didactic material and how digital technologies themselves can play a role in teaching distance learning courses. But for these roles to emerge, we point to the need for participants of online courses to interact collaboratively. To identify these roles, grounded theory, a branch of qualitative research, was used as the two roles were articulated. Data were produced from virtual observations in virtual learning environments and virtual interviews. The results stress that both highlighted roles are related. They transform teacher and student roles and participation in the virtual classroom, and an “agency of media” emerges in online mathematics education.  相似文献   

7.
Traditional bilingual education programmes in regional linguistic minority contexts face major challenges within the recent paradigm of linguistic diversity against a background of increasing migration, mobility and trans-locality. Based on three case studies, the authors of this paper focus on how particular dual-medium models are applied in Slovene-German schools in Carinthia, Austria. They examine not only how these schools provide for a balanced bilingual teaching and learning environment, but also how they deal with their students?? multilingual realities and support their identification with bi- and multilingualism. The authors regard schools as institutional sites where linguistic dispositions are subject to discursive power relations and where language policies and educational goals are negotiated by teachers, parents and students alike. Drawing on speaker-centred and ethnographic approaches in sociolinguistic research, the authors seek to document experiences of all actors involved as well as spatial and discursive practices. Through this the authors show how these dual-medium schools achieve particular profiles in multilingual education which are potentially regarded as innovative examples of best-practice and as being of interest for students and families with heterogeneous linguistic backgrounds.  相似文献   

8.
This article focuses on the scholarship of Black mathematics education researchers whose work focuses on Black students in P–20 mathematics spaces. We conducted a metasynthesis literature review of empirical studies by Black mathematics education researchers. The authors utilized critical theories of race and racism to aid in the synthesis of the literature. The Black researchers we reviewed challenged the perspective that failure and limited persistence in Black students who are learning and participating in mathematics is normative. As a critical defense, these scholars offer research that problematizes test score data, race and racism, opportunities to learn mathematics, identity considerations, and other constructs that produce unequal effects in mathematics learning. We found that Black mathematics education researchers strategically disrupt the deficit narrative about Black students. Black scholars select theoretical frameworks that allow them to focus on race and how racism operates in mathematics education. We present this research to incite dialogue among all mathematics educators about improving the mathematical context for Black students.  相似文献   

9.
The quantum of instruction time allocated to curriculum subjects such as mathematics facilitates greater exposure to knowledge and skill development, leading to higher levels of achievement. There are a number of manifestations of time to consider when investigating the quantum of time in mathematics education. The OECD have investigated the time allocated to mathematics by schools internationally, while also reporting on the prevalence of private tuition and time spent on homework. However, to date, no attention has been afforded to the provision of ‘hidden curriculum time’ for mathematics. This study seeks to advance the work of the OECD and describes a case study that sought to ascertain if teachers in Ireland provide additional mathematics lessons outside of school hours. The authors examined how prevalent this practice is, how many additional minutes some students receive as a result of this practice and ascertained teachers’ reasons for providing/not providing these additional mathematics classes. The results from this case study show that the majority of teachers at Senior Cycle provide these classes while a large proportion of Junior Cycle teachers also do. In extreme cases, these additional classes expose students to an additional 88.3 h of mathematics over the two-year Senior Cycle programme.  相似文献   

10.
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11.
The use of computers and technology in mathematics education affects students’ learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers’ views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two different universities in Turkey. Data consisting of participants’ written responses were qualitatively analyzed and categorized according to TPACK. Results show that the prospective teachers’ views about computers and their use in mathematics are usually positive. They enjoy working with computers, even though they are only able to perform relatively minor calculations with computers. They stated that improved use of computers can help them to learn and teach mathematics more effectively. However, they did not feel confident about their ability to teach mathematics using computers.  相似文献   

12.
新世纪数学教育要求数学教师具有崭新的数学观,掌握现代的教学技能,而调查表明师范类学生现有的思想观念与知识结构与此要求有较大差距,因此,数学教材教法课程改革的思路应该是：加强理论性,突出实用性,增加学生的参与性和研究性,以提高学生的专业素质。  相似文献   

13.
Some argue that the goal of education is to influence out‐of‐school learning activity, yet little research exists on how teachers can help students develop an interest in a topic and continue to pursue that interest outside of school. The current study tested classroom context variables from self‐determination theory (teachers’ autonomy support) and from achievement goal theory (teachers’ mastery goals) that may predict students’ school‐prompted interest above and beyond students’ mastery goals and self‐efficacy. Survey data were collected from 178 high school students in 15 mathematics classes. Hierarchical multiple regression revealed that students’ perceptions of a teacher who focuses on mastery goals account for little variance above and beyond students’ own motivation, whereas perceived teachers’ autonomy support emerged as a significant predictor. While the results are correlational and do not support causal claims, they suggest that teachers who support student autonomy might foster school‐prompted interest.  相似文献   

14.
Teacher education programs attempt to prepare preservice teachers for the various challenges faced in the classroom. One particular challenge new teachers face is how to handle unsuccessful practices. This paper argues that confronting ineffective practices require that teachers respond to complex and dynamic challenges, making change difficult when solutions are not readily available. Presenting data from case-study research, the paper uses an identity framework and positioning theory to explore how two novice teachers navigate moments of unsuccessful practice. Findings suggest that when teachers confronted ineffective practices they repositioned their teacher identities in ways that depended on the ideologies of their school. The paper concludes with implications about the importance of extending typical reflective practices of teacher education with video analysis that challenges students to examine how they enact teacher identities over time within the figured world of their school.  相似文献   

15.
The aim of the current investigation was to provide an insight into how new lecturers in higher education develop as teachers and to identify some of the main influences upon this development. A qualitative, longitudinal design with three semi-structured interviews over a 2-year period was employed with eleven new teachers from a range of higher education institutions and settings. The analysis used case studies, alongside a thematic analysis, to provide fine-grained and idiosyncratic insights into the teachers’ development. The principal finding from the current study was the identification that instances of interactions with students, acted as a core influence upon the new teachers’ development. These instances appeared to provide the teachers with richer and fuller feedback about their teaching. This feedback supported their reflection and influenced the way in which they thought about teaching. Based on these findings it is suggested that teacher development could be enhanced by focussing upon specific instances of interactions with students as these instances provide specific and tangible moments that allow individuals to reflect upon and discuss their conceptions of teaching.  相似文献   

16.
Although skilled mathematics teachers and teacher educators often “know” when interruptions in the flow of a lesson provide an opportunity to modify instruction to improve students’ mathematical understanding, others, particularly novice teachers, often fail to recognize or act on such moments. These pivotal teaching moments (PTMs), however, are key to instruction that builds on student thinking about mathematics. Video of beginning secondary school mathematics teachers’ instruction was analyzed to identify and characterize PTMs in mathematics lessons and to examine the relationships among the PTMs, the teachers’ decisions in response to them, and the likely impacts on student learning. These data were used to develop a preliminary framework for helping teachers learn to identify and respond to PTMs that occur during their instruction. The results of this exploratory study highlight the importance of teacher education preparing teachers to (a) understand the mathematical terrain their students are traversing, (b) notice high-leverage student mathematical thinking, and (c) productively act on that thinking. This preparation would improve beginning teachers’ abilities to act in ways that would increase their students’ mathematical understanding.  相似文献   

17.
ABSTRACT

The authors report the contextualization of effect sizes within mathematics anxiety research, and more specifically within research using the Mathematics Anxiety Rating Scale (MARS) and the MARS for Adolescents (MARS-A). The effect sizes from 45 studies were characterized by graphing confidence intervals (CIs) across studies involving (a) adults not participating in studies focusing on remedial or entry-level mathematics students or teachers, (b) remedial mathematics and entry-level college mathematics students, (c) preservice and inservice teachers, and (d) 7–12th-grade students and rising college students. The results also illustrate how CIs can be useful in research syntheses, because CIs (a) encourage meta-analytic thinking, (b) provide information about the research precision of a literature, and (c) provide plausible estimates for parameter values even if initial research expectations are wildly wrong.  相似文献   

18.
We believe that professional mathematicians who teach undergraduate mathematics courses to prospective teachers play an important role in the education of secondary school mathematics teachers. Thus, we explored the views of research mathematicians on the mathematics that should be taught to prospective mathematics teachers, on how the courses they teach can serve teachers in their work with school students, and on the changes they would implement if their courses were designed specifically for prospective teachers. We constructed profiles of the four mathematicians based on their responses to a clinical interview. We employed the construct of mathematics teacher-educators’ triad in the reflective analysis of our findings and extended the construct based on the results of this study. In conclusion, we commented on potential ways to draw stronger connections between university mathematics and the mathematics taught in schools.  相似文献   

19.
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20.
In this study I have investigated how alternative ways of teaching mathematics influence and affect Early Childhood Education (ECE) students’ attitudes towards maths and how they understand their own subjectivities as more or less mathematical during a 10‐week alternative maths course. The investigated course adopts a feminist post‐structural approach based on critical pedagogy and deconstructive theory and includes an interdisciplinary approach to investigative mathematics. The data used include the memory/narrative writings and process‐writings of 75 female teacher‐education students, collected from three different cohorts, in which the students describe their learning processes throughout the maths course. The study shows that, in the main, the students became much more positively inclined to the subject of mathematics after the maths course and agreed that this course had changed their understanding of their own mathematical subjectivity, albeit in different and varying ways.  相似文献   

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