小学四年级学生对平均数概念理解的发展过程

利用Pirie和Kieren提出的数学理解发展模型,分析了3名小学四年级学生对平均数概念理解的发展过程.结果表明:学生对平均数概念的理解经历了初步了解、产生表象、形成表象、关注性质和形式化等5个水平.在理解发展过程中,当学生发现他的思想和行动与自己所面临的问题不一致时,他就要折返回内层水平来扩展自己目前的活动能力和活动空间.而教师的干预则激发了学生的折返,为学生提供了独立建构或修正个人表象的机会.     

Increasing engagement of students with learning disabilities in mathematical problem‐solving and discussion

Engagement in problem‐solving and mathematical discussion is critical for learning mathematics. This research review describes a gap in the literature surrounding engagement of students with Learning Disabilities in standards‐based mathematical classrooms. Taking a sociocultural view of engagement as participation in mathematical practices, this review found that students with LD were supported towards equal engagement in standards‐based mathematics through multi‐modal curriculum, consistent routines for problem‐solving, and teachers trained in Mathematical Knowledge for Teaching. Using this small set of studies (7), we identify the need to deepen the engagement of students with LD in mathematical problem‐solving and discussion. This review concludes with implications for teaching and learning.     

Uncharted territory and extraordinary times: the SENCo's experiences of leading special education during a pandemic in England

This research focuses on the impact of the context of Covid-19 on the role of the SENCo in English schools. The SENCo's role is a contested field; however, the current Special Educational Needs Code of Practice identifies 11 key areas of SENCos' work. A widely distributed survey was used to access the voice of SENCos across the country, and received 26 responses. Data were analysed using a realistic evaluation framework to identify the impact of Covid-19 on the work of the SENCo. The research indicated that practice in this context had changed in some key areas, and also identified three new aspects of the SENCo role. These point to the need to revise policy and guidance relating to the SENCo being part of the senior leadership team, providing emotional support for adults, and engaging in practical pedagogical activities.     

一类离散型随机变量

介绍了一类有趣的离散型随机变量。它的均值和方差都是1，并由此得到了几个求和公式．而这几个公式的求和问题不论是用初等方法或分析方法都是比较困难的，但用概率的方法却比较容易解决．     

正确培养大学生的数学思维品质

以发展个性思维为目的，探讨了培养学生思维的精度、速度、新度、深度、广度等五个方面的思维品质。     

芝诺悖论的又一现代翻版--调和级数悖论

通过发现芝诺悖论的又一个翻版——调和级数悖论，再一次证明，在传统的有穷-无穷理论体系中，人们永远不可能解决芝诺通过悖论要求人们解决的问题，并且永远无法制止新的芝诺悖论翻版的产生。     

平民叙事与现世关怀言说当下生存本真——谈钱锺书小说的"反神话"写作

钱氏小说创作通过现世关怀和平民叙事对生活予以"真实"呈现,这一写作是对人类生活的本真样态和存在世界的"围城"本质的揭示,以及还原生活本真的反神话叙述.同时也昭示人们关注平民质朴的凡俗人生,回到脚踏实地的现实生活,认识到无法弃置的生存境遇从而发现自我的存在.     

浅谈财经应用写作教学

在社会主义市场经济体制逐步建立和发展的新形势下，社会经济生活日益复杂化，社会经济交往日益规范化，对人们经济书的写作能力要求越来越高，越来越普遍。因此，高校加强财经应用写作教学具有重要的现实意义。     

对数学课堂教学中创新思维培养的探讨

针对当前教学评价中存在的一些问题，笔提出了在大学的数学教学中实施数学素质教育和创新能力培养相结合的实践途径，即教师科学地将专业研究成果、教材教学经验和实际应用案例等多方面知识贯穿于教学途径。     

马克思价值转形问题上中国人数学解法的无效创意

转形问题长期陷入数学求证困境,所得到的各种结果与中外研究者所投入的时间和精力不能成正比。本文列举的中国人的三种解法,各有其特点。既要识别真伪性,也要识别合理性与不合理性。三种解法都以"西方构思"为本源,做出一点点创新(新的未必就不是伪的或不合理的),但都没有突破"西方构思"的基本框架。西方学者刻意追求数学证明,往往又止步在证伪"两个等于"。数学求证有一定的局限性。突破其局限性,不是数学技巧问题,而是数学思维问题。但是,改变数学思维终归替代不了从数学求证转换到非数学求证。