实验教学与能力培养

纵观化学史,一切重大成果多数来源于实验。因此,在化学实验教学中有意识地培养学生能力是十分重要的。     

从易经逻辑到数理辩证逻辑

早在6000多年前,中国先人就创造了以爻卦为命题形式,以八卦和六十四卦为体系的辩证逻辑形式演绎系统。此后,又给出了爻辞和卦辞的语义解释系统。后来,又给出了《易经》的语义和语用解释系统。它自古至今,长盛不衰,成为中国的传统逻辑、文化发展的活水源头。以互补结构整体思想的形式结构和推理有效式规律为研究对象的数理辩证逻辑,是以易经逻辑为其辩证逻辑基础的,它又是易经逻辑的一致性扩大系统。它为实现易经逻辑的现代化发展提供了现代逻辑形式化方法。易经逻辑形式公理系统DPA 就是其现代化形式公理系统。     

促进知识转化的B2C电子商务实验设计

实验教学能促进知识的转化和创新,在电子商务高等教育中占有重要的地位。本文针对B2C电子商务的教学,提出了一种B2C电子商务模拟实验的设计方案,围绕如何促进知识转化和创新介绍了该模拟实验的设计。     

Mathematical model of cylindrical form tolerance

Tolerance is essential for integration of CAD and CAM.Unfortunately,the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression,processing and data transferring with computers.How to interpret its semantics is becoming a focus of relevant studies.This work based on the mathematical definition of form tolerance in ANSI Y 14.5.1 M-1994,established the mathematical model of form tolerance for cylindrical feature.First,each tolerance in the national standard was established by vector equation.Then on the foundation of tolerance's mathematical definition theory,each tolerance zone's mathematical model was established by inequality based on degrees of feature.At last the variance area of each tolerance zone is derived.This model can interpret the semantics of form tolerance exactly and completely.     

高职学院教师工作情况评价的数学模型

如何科学、合理地评价教师的工作,以利于充分调动广大教师的积极性,一直是学院教学管理部门研究的课题,也是广大教师密切关注的问题.本文将构建评价教师工作情况的指标体系并运用层次分析法建立了评价教师工作的数学模型,提出了一种定量的评价方案,供大家参考。     

Leading Undergraduate Research Projects in Mathematical Modeling

Abstract

In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived from calculus, but can be suitably modified to solve more complex problems; and finally provide pointers on how to train students through the UR process that can help to impact student’s future academic and non-academic careers.     

《发酵工艺与设备实验》课程的发展与改革

生物工业不断地发展,应用到的工艺与设备也随着不断改进,高校相应专业的实践课程《发酵工艺与设备实验》的内容、授课方法也必须与时俱进。文中针对华南理工大学《发酵工艺与设备实验》课程的开设、改革过程及教学内容进行了介绍及分析。     

数学概念的理解问题

对数学概念的理解问题是数学学习理论中的重要理论问题．就刻划数学概念理解的重要概念——数学概念的心理表征和数学概念理解的认知基础进行分析，从而对数学概念的理解问题有更深入的认识。     

A science need: Designing tasks to engage students in modeling complex data

In this information age, the capacity to perceive structure in data, model that structure, and make decisions regarding its implications is rapidly becoming the most important of the quantitative literacy skills. We build on Kaput’s belief in a Science of Need to motivate and direct the development of tasks and tools for engaging students in reasoning about data. A Science of Need embodies the utility value of mathematics, and engages students in seeing the importance of mathematics in both their current and their future lives. An extended example of the design of tasks that require students to generate, test, and revise models of complex data is used to illustrate the ways in which attention to the contributions of students can aid in the development of both useful and theoretically coherent models of mathematical understanding by researchers. Tools such as Fathom are shown as democratizing agents in making data modeling more expressive and intimate, aiding in the development of deeper and more applicable mathematical understanding.

The impact of learning difficulties and socioemotional and behavioural problems on transition to postsecondary education or work life in Finland: a five-year follow-up study

Learning difficulties have been found to dilute the possibilities that young adults have in their educational careers. However, during the last few decades, education has become increasingly important for employment and overall life satisfaction. In the present study, we were interested in the effects of mathematical and reading difficulties and socioemotional and behavioural problems (measured at age 16) on three educational situations at age 21: delayed graduation from upper secondary education, short educational trajectory and not being engaged in education, employment or training (NEET). The participants (N = 597; 304 females, 293 males) were one age cohort of ninth graders in general education classes, who were followed for five years after completion of compulsory education. This time frame included two different transition phases: first, from comprehensive education to upper secondary education, and second, from upper secondary education to further studies or to working life. Structural equation modelling was used as analysis method. The findings show that mathematical and reading difficulties as well as socioemotional and behavioural problems had significant long-term effects on the participants’ educational careers. New in part was that these learning difficulties seemed to have somewhat divergent emphases on the three investigated life situations: (1) mathematical difficulties, more strongly than reading difficulties, caused the students to attain lower levels of education, (2) mathematical difficulties and socioemotional problems predicted a student ending up in the NEET group and (3) reading difficulties and behavioural problems predicted delayed graduation from upper secondary education.