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1.
This paper reports observations and reflections from a pedagogic intervention intended to enhance mathematics students' learning of course content in a course in multivariable calculus. The intervention design required students to structure, practice, and deliver an oral presentation that was a synthesis of the teacher's weekly lectures, for the benefit of themselves and their peers. The intervention appears to have incentivized students to engage with and learn mathematics contents in an effective way, and it also helped the mathematics teacher to reflect on, adapt, and develop his teaching strategies. To conclude, it would seem that both students and teachers in mathematics have much to gain from giving students opportunities to develop their own voice in learning contexts otherwise relying on books and lectures. 相似文献
2.
Briana L. Chang Jennifer G. Cromley Nhi Tran 《International Journal of Science and Mathematics Education》2016,14(8):1475-1497
Coordination of multiple representations (CMR) is widely recognized as a critical skill in mathematics and is frequently demanded in reform calculus textbooks. However, little is known about the prevalence of coordination tasks in such textbooks. We coded 707 instances of CMR in a widely used reform calculus textbook and analyzed the distributions of coordination tasks by chapter and for the type of task demanded (perception vs. construction). Results suggest that different coordination tasks are used earlier and later in learning and for different topics, as well as for specific pedagogical and scaffolding purposes. For example, the algebra-to-text coordination task was more prevalent in the first chapter, suggesting that students are being eased into calculus content. By contrast, requests to construct graphs from algebraic expressions were emphasized in later chapters, suggesting that students are being pushed to think more conceptually about functions. Our nuanced look at coordination tasks in a reform textbook has implications for research in teaching and learning calculus. 相似文献
3.
目前,高等师范院校在微积分教学中,实施探究性学习的理论较为薄弱,具体实施中存在诸多问题.可以从教师、学生及客观等3方面进行归因.建议以微积分内容为载体,从内容选择、几何直观、数学思想方法、网络环境等方面开展微积分探究性学习. 相似文献
4.
ZHANG Chun-li 《课程.教材.教法》2008,(10)
发展性评价体系中一个重要的工作就是开发多样化的评价工具和方法。在课题研究中我们重点开展了如下七个方面的评价工具的开发与实践:日常观察,等级和分项测试,成长记录袋,表现性任务,通过浓缩孩子成长特点的评价,二次评价,通过家长、学校合作,取得了较好的效果。 相似文献
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6.
AbstractMany students experience mathematics as a neutral entity, without understanding its impact on social justice and equity. Students must understand that mathematics and statistics are powerful tools for creating social change, and that students themselves are capable to enact positive social change through their mathematical abilities. In this paper, we discuss how we have integrated both service learning and mathematical consulting into a single course to promote civic engagement by mathematics majors through professional applications. We outline methods to engage with community partners to create consulting projects for students while integrating discussions of professionalism, practice, ethics, and social justice into the classroom. We provide qualitative evidence that the integration of service learning and consulting empowers mathematics students to make a difference by doing social justice with mathematics. 相似文献
7.
?se Hansson 《Educational Studies in Mathematics》2012,81(1):103-125
In the multilingual mathematics classroom, the assignment for teachers to scaffold students by means of instruction and guidance in order to facilitate language progress and learning for all is often emphasized. In Sweden, where mathematics education is characterized by a low level of teacher responsibility for students’ performance, this responsibility is in part passed on to students. However, research investigating the complexity of relations between mathematics teaching and learning in multilingual classrooms, as well as effect studies of mathematics teaching, often take the existence of teachers’ responsibility for offering specific content activities for granted. This study investigates the relations between different aspects of responsibility in mathematics teaching and students’ performance in the multilingual mathematics classroom. The relationship between different group compositions and how the responsibility is expressed is also investigated. Multilevel structural equation models using TIMSS 2003 data identified a substantial positive influence on mathematics achievement of teachers taking responsibility for students’ learning processes by organizing and offering a learning environment where the teacher actively and openly supports the students in their mathematics learning, and where the students also are active and learn mathematics themselves. A correlation was also revealed between group composition, in terms of students’ social and linguistic background, and how mathematics teaching was performed. This relationship indicates pedagogical segregation in Swedish mathematics education by teachers taking less responsibility for students’ learning processes in classes with a high proportion of students born abroad or a high proportion of students with low socio-economic status. 相似文献
8.
This study is grounded in the theoretical position that solving problems in different ways creates mathematical connections
when learning and teaching mathematics. It acknowledges the central role teachers play in providing students with learning
opportunities, and it is based on the empirical finding that mathematics teachers are reluctant to solve problems in different
ways in the classroom. In this paper we address the contradiction between theory-based recommendations and school mathematics
practice. Based on analysis of individual interviews and two group meetings with 12 Israeli secondary school mathematics teachers,
we demonstrate that in the context of multiple-solution connecting tasks this discrepancy is caused by the situated nature
of the teachers’ knowledge. We also reveal the complex relationship between different types of teacher knowledge and argue
the significance of developing a common language between members of the mathematics education community, including teacher
educators and researchers.
The names of the teachers have been changed to protect their privacy. 相似文献
9.
Rachel Spronken-Smith Rebecca Walker Julie Batchelor Billy O’Steen Tom Angelo 《Assessment & Evaluation in Higher Education》2012,37(1):57-72
Inquiry-based learning (IBL) is promoted as a teaching approach that can enhance student learning outcomes. IBL can be categorised according to scale (e.g. tasks, course/module/paper, degree), mode (structured, guided, open) and framing (information or discovery-oriented). Our research used a survey instrument to determine how student perceptions of learning processes and intended learning outcomes (ILOs) varied in response to courses with different modes and framing of IBL. The survey was completed by 940 students in 15 IBL courses across a range of disciplines and levels. All types of IBL courses were well rated by students for encouraging learning processes and ILOs congruent with a well-designed inquiry experience. Regarding modes of IBL, there was a clear hierarchy from open (most highly rated) to guided and then structured inquiry. For the framing of IBL, courses using discovery-oriented IBL were more highly rated than information-oriented IBL. Overall, the most highly rated course design was open, discovery-oriented IBL, but other types of IBL remained important in terms of developing research and inquiry skills. To determine whether all types of IBL courses are promoting enhanced ILOs compared to more traditionally taught courses, a comparative study should be undertaken. 相似文献
10.
《International Journal of Research & Method in Education》2013,36(3):252-267
A key step in the development of skills to conduct independent research is the ability to develop topics of interest into research studies that examine problems of significance in a field of study. This qualitative interview study conducted in the USA examined how seven novice qualitative researchers who had taken course work in qualitative research methods selected topics for research and developed these into studies for dissertation research. Findings identify processes contributing to novice researchers' abilities to conceptualize their topics as significant. These processes include recognizing the need to integrate their interests in existing disciplinary fields, learning that occurred through the practice of fieldwork, applying guidance from advisors and committee members, and developing a deeper understanding of the relationship of their studies to existing research. The paper suggests points of tension for new scholars in the development of research topics, exploring how doctoral supervisors and instructors might assist students in learning how to design and conduct qualitative studies for doctoral research. 相似文献
11.
Colleen Vale Alasdair McAndrew Siva Krishnan 《Journal of Mathematics Teacher Education》2011,14(3):193-212
A professional learning program for teachers of junior secondary mathematics regarding the content and pedagogy of senior
secondary mathematics is the context for this study of teachers’ mathematical and pedagogical knowledge. The analysis of teachers’
reflections on their learning explored teachers’ understanding of mathematical connections and their appreciation of mathematical
structure. The findings indicate that a professional learning program about senior secondary mathematics can enable practicing
teachers to deepen and broaden their knowledge for teaching junior secondary mathematics and develop their practice to support
their students’ present and future learning of mathematics. Further research is needed about professional learning approaches
and tasks that may enable teachers to imbed and develop awareness of structure in their practice. 相似文献
12.
P. Cretchley 《Education and Information Technologies》2007,12(1):29-39
Employer expectations have changed: university students are expected to graduate with computer competencies appropriate for
their field. Educators are also harnessing technology as a medium for learning in the belief that information and communication
technologies (ICT’s) can enliven and motivate learning across a wide range of disciplines. Alongside developing students’
computer skills and introducing them to the use of professional software, educators are also harnessing professional and scientific
packages for learning in some disciplines. As the educational use of information and communication technologies increases
dramatically, questions arise about the effects on learners. While the use of computers for delivery, support, and communication,
is generally easy and unthreatening, higher-level use may pose a barrier to learning for those who lack confidence or experience.
Computer confidence may mediate in how well students perform in learning environments that require interaction with computers.
This paper examines the role played by computer confidence (or computer self-efficacy) in a technology-enriched science and
engineering mathematics course in an Australian university. Findings revealed that careful and appropriate use of professional
software did indeed enliven learning for the majority of students. However, computer confidence occupied a very different
dimension to mathematics confidence: and was not a predictor of achievement in the mathematics tasks, not even those requiring
use of technology. Moreover, despite careful and nurturing support for use of the software, students with low computer confidence
levels felt threatened and disadvantaged by computer laboratory tasks. The educational implications of these findings are
discussed with regard to teaching and assessment, in particular. The TCAT scales used to measure technology attitudes, computer
confidence/self-efficacy and mathematics confidence are included in an Appendix. Well-established, reliable, internally consistent, they may be useful to other researchers. The development of the computer
confidence scale is outlined, and guidelines are offered for the design of other discipline-specific confidence/self-efficacy
scales appropriate for use alongside the computer confidence scale. 相似文献
13.
《The Journal of educational research》2012,105(5):374-376
ABSTRACTPresent federal education policies promote learning in science, technology, engineering, and mathematics (STEM) and the participation of minority students in these fields. Using longitudinal data on students in Florida and North Carolina, value-added estimates in mathematics and science are generated to categorize schools into performance levels and identify differences in school STEM measures by performance levels. Several STEM-relevant variables show a significant association with effectiveness in mathematics and science, including STEM teacher turnover, calculus and early algebra participation, and mathematics and science instructional indices created from survey items in the data. Surprisingly, a negative association between students’ STEM course participation and success in STEM is consistently documented across both states, in addition to low participation of underrepresented minority students in successful schools in STEM. 相似文献
14.
Mercedes García Victoria Sánchez Isabel Escudero Salvador Llinares 《Journal of Mathematics Teacher Education》2007,9(2):109-128
This paper addresses issues linking research in student teacher learning with reflection on practice in mathematics teacher
education. From a situated perspective on learning and practice, we explore our own practice as teacher educators while researching
student teacher learning in our classrooms. We describe a study on student teacher learning, considering student teacher learning
as a “process of becoming”, and how the results of this research have affected our development as mathematics teacher educators
and members of a community of inquiry. Our work shows how in the mathematics teacher education context the relationship between
theory and practice becomes an element of both teacher educator and researcher development. 相似文献
15.
Melissa Rodd 《Educational Studies in Mathematics》2006,63(2):227-234
The theoretical frameworks presented in this Special Issue are appraised with respect to how they might enhance teachers’ or researchers’ work with ‘special needs’ students learning mathematics. The notion of ‘special needs’ is used in a broad sense, encompassing specific Special Educational Needs as well as students with low attainment. The analysis indicates that the different frameworks offer some distinctive methods for research or ideas for interventions, either individually or within multi-lens approaches. It also points to other perspectives, not represented here, that could be relevant for a growing understanding of issues of affect in mathematics education. 相似文献
16.
杨泽忠 《山东教育学院学报》2007,22(3):33-35
关于加强学生的数学反思学习和提高数学反思能力的研究迄今已有很多,仔细分析这些研究,其提出的众多措施并非完善,还是有许多要注意的事项,如数学反思学习应当抓住重点找准时机进行,进行的时候应注重全面总结和概括,教师应该在这个过程中发挥积极的作用,教会学生反思学习技能,及时检查学生的反思活动,根据学生的具体情况提出具体的反思要求,等等。只有将这些措施和先前的研究结合起来,中学教学中的反思性数学学习活动才能开展好,达到切实提高学生的数学反思能力的目的。 相似文献
17.
如何确保在线直播课程的教学成效,是当下在线教学亟待解决的问题。文章以师范生“中职课程设计与开发”课程为例,遵循学生中心、行动导向、工作过程导向和工作成果导向的基本理念,借鉴探究社区模型理论和学习环境设计相关理论,结合行动导向教学的要求,从学习环境(物理环境、心理环境)、学习内容(学习任务、学习活动)两方面展开在线直播课程设计,以提升学生的学习体验和学习参与度,确保在线直播课程的学习成效。文章的研究可为在线直播教学和混合学习的教学设计实践提供参考,并有助于推动教学改革。 相似文献
18.
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
19.
Murad Abdu Saeed Huda Suleiman Al Qunayeer 《International Journal of Research & Method in Education》2021,44(1):3-19
ABSTRACT Due to the complex nature of research methodology courses, the current study focused on implementing the active teaching and learning approach to a postgraduate research method course in a Malaysian university over an academic semester. A qualitative analysis of observations, instructor-learner interactional exchanges, students’ drafts of tasks and pre-course and focus group discussion was performed. The findings revealed three types of challenges: student-oriented challenges, subject-matter-related challenges and instructor-oriented challenges. Three main pedagogical strategies: instructional scaffolding, peer scaffolding and engaging the postgraduates in drafting their tasks were employed as a response to these challenges. Although the active teaching and learning practices resulted into students’ enhancement of the assigned research methodology tasks and positive research learning experience, such practices were time and effort-consuming. Therefore, future research will need to examine the applicability of our active teaching and learning approach to research methodology courses in different contexts. 相似文献
20.
采用追踪研究设计,以小学生数学学习为例,考察新课程改革的实施效果。研究从学生对数学的基本理解与计算能力、复杂问题解决能力、数学交流与应用意识以及对数学学习的兴趣与数学素养三个方面,实证分析参加新课程与原课程两组学生之间的差异。结果表明,使用新课程的学生对数学的基本理解与计算能力从整体上表现较好,但不如使用原课程学生在此方面的优势明显;与使用原课程学生相比,使用新课程的学生在高层次思维能力方面表现出明显优势,新课程比较明显地提高了学生的复杂问题解决能力、数学表达与交流及应用意识;新课程提高了学生学习数学的兴趣,学生也形成了良好的数学素养。 相似文献