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1.
Abstract

This article describes reflections of two mathematicians and a mathematics teacher educator who collaborated on the development and implementation of courses (probability and statistics connections, number concept connections, and middle school mathematics methods) for middle school mathematics preservice teachers. The instructors of the courses, two in mathematics and one in mathematics education, worked together to more explicitly link course materials, assignments, and the pedagogical approaches. Collectively, the courses were designed to address the five components of preservice teachers’ mathematical knowledge for teaching (PT-MKT), and to model effective teaching practices. Using their collective experiences co-planning and implementing these course adjustments were made in the subsequent year. The instructors were pleased by their implementation and student outcomes in all three courses.

We describe how each component of the PT-MKT framework was approached in these courses and discuss challenges experienced by the instructors, who were part of a larger effort to develop and implement a middle school teacher preparation program. The information shared is based on data collected as part of a program evaluation effort, and is bolstered by the instructors’ recollection of events. Overall, the instructors enhanced the curricula and their instructional practices and found that the attention placed on developing PT-MKT support the mathematical development of middle school mathematics preservice teachers.  相似文献   

2.
Recent studies have found short in-service teacher education programs are not providing adequate technology experiences to prepare their participants for teaching mathematics with computers. As an alternative to the short-term courses the author has been teaching a two-term mandatory undergraduate course within a mathematics teacher education program since 1995 to train student teachers and to investigate their perceptions on their preparation to use computers in their own teaching. This article describes issues that emerged from the analysis of this undergraduate course. Data were gathered through questionnaires and students' writings about the course activities. Findings indicated that computer literacy appeared to be an important key factor in utilising the course activities successfully. Students who felt prepared made the link between computer-based mathematical activities and school mathematics, and had more experience of using instructional software during the course than others. Findings of this nature can also assist teacher educators as they incorporate information technology into existing pre-service programs. The implications of these results for the designing and implementing of computer-based undergraduate courses and for further research in this field are discussed.  相似文献   

3.
为了深入了解目前高中数学的教改现状,使得高等师范院校数学专业的课程设置与中学教改相适应,采用走访一线教师和问卷调查的方式收集有关资料,通过定量分析与定性分析相结合的方法,找出高师院校数学专业课程设置与中学教改数学教学内容间不相适应的方面,在此基础上提出了高师院校数学专业应该联系中学实际充实数学主干课,适应中学需要开好数学选修课,创造条件举办好数学专题讲座,采取多种形式开展好数学实践活动等教学改革的基本对策。  相似文献   

4.
彭璐 《教育技术导刊》2019,18(12):277-279
离散数学是计算机高级进阶算法及人工智能等新兴技术的基础课程。针对目前该课程在独立学院教学中存在的普遍问题,如知识点多而杂,理论性、抽象性、逻辑性强,理解难度大,学生缺乏学习兴趣等,结合实际教学经验,提出适用于独立学院的“三位一体”教学模式——知识框架+基础实验+交流平台。首先根据学生对知识的接受程度组织教学内容,搭建更适合独立学院学生的知识框架及相应实验,然后利用现有APP及学习软件构建教学平台,以提升学生学习兴趣,充分发挥学生的学习主动性。该模式也可推广应用到其它独立院校。  相似文献   

5.
This paper reports on an investigation into the conceptual knowledge, through the domain of fraction division, of prospective secondary mathematics teachers in their final/fourth year of undergraduate initial teacher education. The aim of the study is to assess if levels of conceptual knowledge in this domain are sufficient in order for these prospective teachers to teach for understanding. Some impact of conceptual understanding on teaching approaches is also explored. The content of the teacher education program and its suitability for preparing prospective mathematics teachers is also considered. The results indicate that in spite of four years of mathematics teacher education, these prospective mathematics teachers hold a fragmented and limited conceptual understanding of dividing fractions. To address this issue and to ensure the effective implementation of Project Maths, it is argued that initial teacher education programs need to be revised to include an emphasis on school mathematics.  相似文献   

6.
Mathematics pedagogical content knowledge (MPCK) of teachers cannot be easily defined but is a complex concept integrating generic pedagogical knowledge, mathematics teaching methodology as well as knowledge of the discipline of mathematics. It is the objective of mathematics methodology courses in teacher preparation programmes to begin the development of MPCK in their pre-service teachers. As part of a research study on the development of MPCK in primary school beginning teachers, a 16-item instrument was developed to measure some aspects of the MPCK for teaching mathematics at primary level. The instrument was administered to the 2003 Intake of the Diploma in Education student teachers at the National Institute of Education, Singapore just at the beginning of their programme. As they completed their methodology course in February 2005, the instrument was administered again. This paper will discuss the findings concerning their performance in these two tests, with reference to the overall performance as well as topic-specific and MPCK construct-specific performance. The findings indicate that student teachers at the beginning of their programmes are generally quite weak in their mathematics pedagogical content knowledge, as might be expected. There was significant improvement in some aspects of their MPCK on completion of their mathematics pedagogy course.  相似文献   

7.
Historically, content preparation and pedagogical preparation of teachers in California have been separated. Recently, in integrating these areas, many mathematics methodology instructors have incorporated children's thinking into their courses, which are generally offered late in students’ undergraduate studies. We have implemented and studied a model for integrating mathematical content and children's mathematical thinking earlier, so that prospective elementary school teachers (PSTs) engage with children's mathematical thinking while enrolled in their first mathematics course. PSTs’ work with children in the Children's Mathematical Thinking Experience (CMTE) may enhance their mathematical learning. Preliminary study results indicate that the sophistication of CMTE students’ beliefs about mathematics, teaching, and learning increased more than the sophistication of beliefs held by students enrolled in a reform-oriented early field experience and that experiences considering children's mathematical thinking provided PSTs with increased motivation for learning mathematics.  相似文献   

8.
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   

9.
在传统的初中数学课程的教育教学中,教师往往采用直接授课的教学方式传达教学理念,使得学生往往对初中数学课程失去了学习的积极性与兴趣,从而阻碍了学生数学课程学习的良性循环以及良性发展,因此,面对这一情况,教师运用了多种多样的教学方式以及教学手段有效地提高了学生对数学课程学习的积极性与热情,促进了学生数学课程学习的可持续性发展。本文就提高初中数学教学趣味性的有效策略进行探讨与分析,以供数学专家的参考和评价。  相似文献   

10.
教师教育中数学知识的获得是影响职前小学教师数学知识的主要因素之一,以我国上海师范大学和美国纽约城市大学小学教育专业本科培养的数学课程计划为个案,从数学内容类课程和数学方法类课程两方面研究发现,两国职前小学教师教育中各数学课程在学分要求、教学目标、教学内容和教学方法等方面存在差异。美国职前小学教师本科培养的经验,对我国职前小学教育专业本科培养的数学课程设置与实施应该如何加强联系小学数学课程与教学实际具有一定借鉴。  相似文献   

11.
小学阶段的数学知识主要包括应用题和加减乘除,对于小学生而言这些知识是比较枯燥的。因此为了提升课程质量,教师在教学中必须要不断优化小学数学课堂设计。基于此,本文主要介绍了优化小学数学课堂教学的重要意义,而且提出了优化小学数学课堂设计的有效策略,希望可以给有需要的人提供参考意见。  相似文献   

12.
教师专业发展必然需要教师专业知识的有力支撑。对高中数学教师专业知识进行的问卷调查和访谈发现:目前高中数学教师基本上较好地掌握了常用的教师专业知识,但也存在一些问题:对数学学科知识的关注范围过于狭窄;运用数学教学知识进行教学时偏向于被动;对数学课程标准的理解存在偏差。另外,研究还发现:数学教学知识的增长并非是持续的;不同层级的教师之间、不同类别学校中的教师之间,其差异主要体现在数学学科知识与数学教学知识。进而对数学教师教育提出相应建议:数学教师应适当拓展数学学科知识的关注范围;应依据调查数据加强数学教师教育培养计划的针对性;关于教师一般教育学知识的评价方式亟需改进等。  相似文献   

13.
近年来,我国高教事业取得了惊人的发展,一批实力较强的专科院校纷纷升格为本科院校,但升本并不等于简单的教学内容的叠加,数学分析这门数学系最主要的经典基础课程的教学,由于其教学对象的改变,其专科的教学大纲已不适合本科数学专业教学的要求。通过对大纲的研读,使我们明确了教学内容,更新了教学理念,使我们的本科教育目的性更强,促使了我校数学系的数学分析教学和研究水平“达标、合格、上水平”。  相似文献   

14.
孙淑芹 《天津教育》2021,(6):158-159
小学生大部分都比较活泼,而数学课多比较枯燥,所以提升学生自主学习的积极性,也是数学教师教授课程中的一项重要内容。而如何提高学生学习数学的积极性,也是数学教师在授课过程中需要解决的重要问题。  相似文献   

15.
Our study investigates perspectives of mathematics teacher educators related to the usage of their mathematical knowledge in teaching “Methods of Teaching Elementary Mathematics” courses. Five mathematics teacher educators, all with experience in teaching methods courses for prospective elementary school teachers, participated in this study. In a clinical interview setting, the participants described where and how, in their teaching of elementary methods courses, they had an opportunity to use their advanced mathematical knowledge and provided examples of such opportunities or situations. We outline five apparently different viewpoints and then turn to the similar concerns that were expressed by the participants. In conclusion, we connect the individual perspectives by situating them in the context of unifying themes, both theoretical and practical.  相似文献   

16.
对提高中学数学教师数学修养的思考和尝试   总被引:7,自引:1,他引:7  
提高中学数学教师的数学修养在塑造人的过程中具有不可替代的作用.在实际调查中我们发现:一方面,教师们对提高自身数学修养水平的热情很高;另一方面,在涉及到具体数学知识时,教师们又往往把自己的眼光仅局限在个人所讲授或熟悉的具体中学课程中,而对关系“较远”的内容则倾向于采取回避和应付的态度.提高教师自身的数学修养是解决目前数学教育中种种弊端的关键.在实际教学中可采用如下方法加强数学教育中数学类课程:(1)加强对数学内容的数学思想和方法论的讲解;(2)加强数学计算和论证的训练;(3)加强与中学数学课程的结合.  相似文献   

17.
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   

18.
大学数学是指高校理工科、管理及数学类专业涉及到的数学课程,也是很多专业学生学习后续课程的基础,对于培养学生的综合素质具有十分重要的作用。大学数学与中学数学相比,内容更具延伸性,难度和深度也具有很大的提升。因此,解决大学数学与中学数学的衔接问题,对于很多高等院校而言仍然是一大难题。本文分析了大学数学与中学数学在教学目标、教学内容、教学方式和学习方式等方面存在的差异而导致的一系列的衔接问题,并就如何解决这些问题提出了相应的对策与建议,旨在进一步加强中学数学与大学数学的衔接,促进大学数学教师更好开展教学工作。  相似文献   

19.
小学培养目标及其课程改革是小学教育专业本科课程设置的根本依据,本科学历小学教师所应具备的基本素质是课程设置的直接依据。"教研训习一体化"人才培养模式,是培养知能并举、教研兼长的研究型小学教师的理想选择。与此模式相适应的课程结构包括四个模块的课程:基础知识类课程,研究能力类课程,理念引领类课程,实践能力类课程。四类课程各有特定的目标和功能,从不同的维度指向培养目标而整合成为一个完整的体系。  相似文献   

20.
The universal emphasis in mathematics education on teaching and learning for understanding can require substantial paradigmatic shifts for many elementary school teachers. Consequently, a pressing goal of teacher preparation programs should be the facilitation of these changes during program experiences. This longitudinal, mixed methods study presents a thorough investigation of the effects of a distinctive teacher preparation program on important constructs related to prospective teacher preparedness to teach mathematics for understanding, including mathematics pedagogical and teaching efficacy beliefs, mathematics anxiety, and specialized content knowledge for teaching mathematics. The results indicate that the programmatic features experienced by the prospective teachers in this study, including a developmental two-course mathematics methods sequence and coordinated developmental field placements, provided a context supporting teacher change. These shifts are interpreted through the nature and timing of the experiences in the program and a model of teacher change processes. The findings provide insights for mathematics educators as to the outcomes of these programmatic features.  相似文献   

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