数学教育与教育数学

数学教育的现代发展,以及各国进行数学课程改革浪潮的涌现,提出了教育数学的研究课题。它似可与纯粹数学、应用数学并列为第三个研究领域。与“新数学”、“大众数学”相比,教育数学将能均衡好数学教育的“教育方面”与“数学方面”的关系和促进数学教育改革的健康发展。进行教育数学的研究,可先从数学现实、数学难点、数学新点等方面着手,然后再进行理论体系建设。     

浅论教育数学与数学教育的关系

本文运用教育数学的原理和思想,从中学数学教材中的一个教学难点——“数学教育”处理出发,提出了用“远近度”和“倾斜度”来改造位置关系数学的新思路。同时,研究并提出了用二次函数极值法求解两异面直线距离的方法模式,从理论和实践两个方面阐述了教育数学与数学教育的对立统一关系。     

“数学节”：让数学学习更精彩

“数学节”是江苏省南京赫贤学校的全景式数学教育实验课题组创建的特色校园活动。学校通过设置特色数学节日、开展多样数学节日活动,让学生对数学有更丰富、更新奇的体验,增加学生的“数学”交往与互动,激发学生数学学习的兴趣,拓宽学生的数学视野,让学生发自内心地觉得“数学好玩”,从而培育学生的核心素养。     

"数学精神"与数学教育

以数学理性精神为核心的“数学精神”,对数学教学中的素质教育来说,是太重要了,然而,对于“数学精神”的内涵、特点、巨大作用和教育功能,我们又知之甚少.开展“数学精神”教育研究应将“基础研究”与“普及研究”有机结合,在教学中始终不忘数学精神的渗透和身教.     

近15年国内数学学习迁移研究综述——基于CiteSpace知识图谱软件的可视化分析

本文以“数学学习迁移(Transfer of mathematics learning)”为主题,检索2008年至2021年中国知网(CNKI)期刊数据库,论文来源限于核心期刊,共检索到中文文献60篇.通过CiteSpace5.8.R4可视化文献分析软件,对60篇知网核心文献的关键词、主要作者、研究机构进行知识图谱分析.从研究内容来看,研究者主要围绕数学学习迁移的理论研究、知识学习中的迁移与问题解决中的迁移的实证研究、迁移理论在教学中的应用等方面展开.“类比迁移”“数学知识”“核心素养”成为数学学习迁移领域研究的前沿问题.     

数学教学与数学素质培养

数学教学与数学素质培养杨斌（湛江师院教管系５２４０４８）２１世纪我国公民应具备怎样的“数学素质”，数学教育应如何“面向世界、面向未来、面向现代化”，这是数学教育界亟待解决的课题．本文从国际数学教育发展的趋势和我国数学教育的现状出发，根据当前国内外数学...     

回归生活的小学数学课堂研究

从二十世纪八十年代开始,西方数学教育界提出“非形式化的数学教育”的口号,要求中小学的数学教学摆脱过度形式化的束缚,主张联系学生的日常生活实际,增加数学学习的趣味性,使数学呈现为学生容易接受的“教育形态”。     

数学教育的价值与数学教育改革

历史上每一次重大的数学教育改革 ,无不关涉到数学教育价值的抉择与建构 ;数学教育的“训练价值”与“实用价值”、“知识价值”与“能力价值”一直处在“钟摆”与“嬗变”之中 ;新世纪的数学教育、尤其是数学课程改革 ,应该把握住数学的本质特征和根本特点 ,在提高学生的数学素质 (数学知识、技能和思想、方法 ,数学概括、抽象和推理、证明能力等 )的基础之上 ,促进学生理性和非理性充分、和谐地发展。     

国际数学教育研究的知识基础与前沿——基于2018—2022年数学教育国际期刊的文献计量分析

国际数学教育领域的年发文量整体呈上升趋势,通过文献计量分析发现：依托方法论书籍、教育政策文件、研究手册和关键文献提供的知识基础,国际数学教育研究前沿聚焦于“数学过程”“数学内容”“数学教与学的环境”以及“数学教师教育”4个方面;研究围绕PISA数学框架考察数学认知、能力和素养,建立了小学、中学和大学相邻学段的数学学习衔接性的关键纽带;关注从社会文化差异的视阈审视数学教与学的环境因素,并维持了“数学教师教育”自21世纪以来一直成为研究前沿的地位．中国应增强文化批判意识,评估国际数学教育研究前沿,开展本土化的数学教育研究,并加强教育研究和实践的沟通．     

语言与数学教育

“语言与数学教育”是数学教育现代研究的热点之一．我国已有许多学者对此开展了相关研究，研究很好地体现了密切联系教学实践的特点，但国内外关于“语言和数学教育”的研究存在较大的差距．关于“语言与数学教育”的研究在现代的兴起有其必然性．对“语言与数学教育”的研究，最重要的不是对相关结论的简单应用，而应独立地分析与思考，不断地深化认识．     

The Impact of Reform: Challenges for Mathematics Teacher Preparation

The mathematics education community has been widely recognized as a leader in the standards-based reform movement. Despite the widespread interest and attention that reform documents such as the NCTM Standards have generated, what has yet to be fully understood is the impact of these types of reform documents on the preservice teacher preparation process. This paper examines the state of the standards-based reform effort in mathematics teacher education by presenting the results of a three-year study of six cohorts of secondary mathematics student teachers (n = 63). Examined in particular are the ways in which these student teachers' professed beliefs about and knowledge of the NCTM Standards contrast with their teaching practices. Possible explanations for the mismatch between belief and knowledge statements and teaching practices are examined, along with other implications for mathematics teacher preparation.     

Discrete mathematics in deaf education: a survey of teachers' knowledge and use

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.     

LEBANESE STUDENTS’ CONCEPTIONS OF AND ATTITUDES TOWARDS SCIENCE AND RELATED CAREERS BASED ON THEIR GENDER AND RELIGIOUS AFFILIATIONS

The pedagogical practices of mathematics education for young children in English and Korean pre-schools were compared through analyses of interviews with practitioners, observations of classroom activities and an examination of documents related to the planning and implementation of mathematics education. Practitioners in both countries used integrated activities to teach mathematics, although they used such activities more frequently in nurseries than in reception classes in England and more frequently in state settings than in independent settings in Korea. Furthermore, mathematics education was more structured, more likely to be led by an adult and less holistic in reception classes than in nurseries in England, whereas it was more structured and didactic in independent than in state settings in Korea. However, mathematics education in England was more systematic, used a more individualised approach and incorporated a variety of hands-on materials and rigorous outdoor activities, whereas it was more group-oriented and utilised limited materials and fewer outdoor activities in Korea.     

Engaging pre-service middle-school teacher-education students in mathematical problem posing: development of an active learning framework

Although official curriculum documents make cursory mention of the need for problem posing in school mathematics, problem posing rarely becomes part of the implemented or assessed curriculum. This paper provides examples of how problem posing can be made an integral part of mathematics teacher education programs. It is argued that such programs are a good place to start the process of redesigning mathematics curricula so that school mathematics will pay more than lip service to problem posing. Data are presented and analyzed showing that teacher education students can recognize the need for problem posing both in their own programs and in school mathematics curricula. Examples of problems posed by teacher education students are presented and discussed. An active learning framework for interpreting the role of problem posing in mathematics classrooms is presented.     

Toward inclusive mathematics education: a metatheoretical reflection about countering ableism in mathematics standards and curriculum

This article documents efforts to advance inclusive mathematics education practices involving the introduction of equity-oriented resources in state-level mathematics standards guidance documents in a Midwestern United States jurisdiction. We adopt a critical stance by looking at ways to interrogate available metatheories for these kinds of change-making processes. The guiding resources documented in the present article center on issues of difference. These issues are related to dis/ability in mathematics education standards and curriculum to not only raise teachers' awareness of constructions of difference in order to foster inclusive education, but also to promote critical self-reflections around ableism. Guiding resources are a means to support recognition of dis/ability difference as a source of multiple mathematical knowledge bases from which to learn and advance mathematics thinking. Yet, we also recognize the need to be vigilant about the complex interpretative contours and the relational dynamics at work throughout their various layers of implementation, assessment, and anti-ableist realignment. Accordingly, we reflect metatheoretically about three questions: How might concepts of access, achievement, identity, and power support teachers of mathematics in advancing inclusive practices? How do word choices in mathematics standards, curriculum, and practices dis/able students in classroom practices? What may we learn from the mathematics education experiences of individuals with dis/abilities and their families in the broad configuration of change-making dynamics of educational policies and teaching practices?     

Guiding documents for environmental education centres: an analysis in the Spanish context

Guiding documents under the ‘PEC’ acronym are commonly used in environmental education centres (EECs) in Spain. They are written documents that are seen as necessary tools to safeguard quality. In this study, we analyse the guiding documents of twenty-three EECs in the province of Girona (Catalonia, Spain) in order to understand their contents and detect strengths and weaknesses. The instrument used for document analysis is a rubric created for this purpose from the literature review. It includes four main sections: identity features, context analysis, formulation of goals and a plan of action. Each of these sections has associated items that have been used to analyse the guiding documents mentioned. The results show a great lack of information regarding evaluational aspects. They also show difficulties in defining the concepts of environmental education or education for sustainability and relating sustainability to the milieu of EECs.     

Using technology in assessing integrated science and mathematics learning

Drawing from current models, research, and science and mathematics education reform documents, this article first defines and/or delimits three broad domains of education: integrated school science and mathematics, assessment, and technology. Based upon this three-tiered discussion, a list of characteristics is then distilled to guide in the development of assessment for integrated school science and mathematics using technology. Two integrated school science and mathematics activities are provided to illustrate the alignment of instruction and assessment and the systematic integration of technology into both.The writing of this paper was supported by The National Center for Science Teaching and Learning under grant R117Q00062 from the Office of Educational Research and Improvement, U.S. Department of Education. Any opinions, findings, conclusions, or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the sponsoring agency.     

STRUCTURE OF PRIMARY MATHEMATICS TEACHER EDUCATION PROGRAMS IN SPAIN

Spain was 1 of the 17 countries that participated in the International Association for the Evaluation of Educational Achievement’s Teacher Education and Development Study in Mathematics (TEDS-M 2008). In this paper, we explore and describe the structure of Spanish primary mathematics teacher education programs. We analyzed the documents collected from the 48 sampled Spanish institutions that participated in TEDS-M. Our approach to the syllabus analysis focused on the established content dimension of curriculum in educators’ syllabi. These contents are structured into 4 knowledge domains—school mathematics, advanced mathematics, general pedagogy, and mathematics pedagogy—and categorized into subjects and topics. The results show that Spanish teacher education programs are diverse across institutions, but follow a basic structure that emphasizes the teaching of general pedagogy subjects.     

区域公共教育服务中职业教育政策文本的定量分析——以湖北省2008-2013年为例

文章从政策数量、发布主体、内容分布和调整层次等角度对湖北省区域内2008-2013年间职业教育政策文本进行定量分析,梳理当前区域教育政策服务的波动性、不均衡性、全面性及专业性等特点,指明政策关照存在外生性动力不足、对德育和就业关注相对薄弱等问题,为其他地区职业教育政策的制定与出台提供借鉴。     

Metaphors of hierarchy in mathematics education discourse: the narrow path

This paper adopts a rhetorical perspective in order to examine language about children in the discourse of mathematics education through a study of metaphor. Previous research has tended to emphasize the notion of ‘beliefs’, which locates responsibility for problematic conceptions of children within the heads of individuals, particularly practising and preservice teachers. Using the notion of metaphor, this paper examines several texts in US mathematics education, including conversations in an elementary classroom, a university mathematics methods classroom, mathematics textbooks, and standards documents. All of these texts draw on the metaphor of children’s learning as travel along a physical path, which supports talking and thinking about children in hierarchical ways. The dominance of this metaphor presents a new challenge for teacher educators concerned with equity: that of examining their own language and practices for hierarchical language.