浅议中职数学教学的思想教育

在中职数学教学中结合数学的学科特点对学生进行思想教育,对于提高学生的综合素质,促进学生全面发展具有重要意义。本文从数学的文化性、数学思想方法的引申、数学中包含的德育、美育因素和劳动思想等几个方面,提出在中职数学教学中渗透思想教育的做法。     

浅谈《离散数学》教学中的创新对策

《离散数学》是计算机类专业中一门重要的专业基础课程。该文以培养学生逻辑思维能力、综合知识应用能力、提高学生实践能力为目的,作者结合自己的教学实践,对离散数学教学的现状做了全面的分析,并从教学环节、教学方式、教学思想等方面提出在专业教学中改进的对策和措施。     

On mind &; Turing’s machines

Turing’s notion of human computability is exactly right not only for obtaining a negative solution of Hilbert’s Entscheidungsproblem that is conclusive, but also for achieving a precise characterization of formal systems that is needed for the general formulation of the incompleteness theorems. The broad intellectual context reaches back to Leibniz and requires a focus on mechanical procedures; these procedures are to be carried out by human computers without invoking higher cognitive capacities. The question whether there are strictly broader notions of effectiveness has of course been asked for both cognitive and physical processes. I address this question not in any general way, but rather by focusing on aspects of mathematical reasoning that transcend mechanical procedures.Section 1 discusses Gödel’s perspective on mechanical computability as articulated in his [193?], where he drew a dramatic conclusion from the undecidability of certain Diophantine propositions, namely, that mathematicians cannot be replaced by machines. That theme is taken up in the Gibbs Lecture of 1951; Gödel argues there in greater detail that the human mind infinitely surpasses the powers of any finite machine. An analysis of the argument is presented in Section 2 under the heading Beyond calculation. Section 3 is entitled Beyond discipline and gives Turing’s view of intelligent machinery; it is devoted to the seemingly sharp conflict between Gödel’s and Turing’s views on mind. Their deeper disagreement really concerns the nature of machines, and I’ll end with some brief remarks on (supra-) mechanical devices in Section 4.     

指派问题的模糊数学方法求解研究及其启发

从指派问题的最优化实质出发,分析了指派问题匈牙利解法的管理意义,进而导出了若干有实用指导意义的指派原则。根据指派问题的现实特点进行扩展,建立了模糊效率矩阵,并按导出的指派原则结合模糊数学原理求解了该模糊效率矩阵。对指派问题模糊化求解的过程启发我们:管理问题的定量化处理意义,不仅在于能求出最优解,而且在于它同时含有丰富的管理指导意义。     

Connectionism isn't magic

Ramsey, Stich and Garon's recent paper Connectionism, Eliminativism, and the Future of Folk Psychology claims a certain style of connectionism to be the final nail in the coffin of folk psychology. I argue that their paper fails to show this, and that the style of connectionism they illustrate can in fact supplement, rather than compete with, the claims of a theory of cognition based in folk psychology's ontology. Ramsey, Stich and Garon's argument relies on the lack of easily identifiable symbols inside the connectionist network they discuss, and they suggest that the existence of a system which behaves in a cognitively interesting way, but which cannot be explained by appeal to internal symbol processing, falsifies central assumptions of folk psychology. My claim is that this argument is flawed, and that the theorist need not discard folk psychology in order to accept that the network illustrated exhibits cognitively interesting behaviour, even if it is conceded that symbols cannot be readily identified within the network.This paper was in part prepared whilst I was a Vacation Scholar at the Automated Reasoning Project, Australian National University. It was presented in its present form to the Department of Philosophy, Institute of Advanced Studies, ANU. I owe a deep gratitude to many people who read and commented on earlier drafts of this paper, especially Phillip Staines and Phillip Cam from UNSW, Ed Mares from the Automated Reasoning Project at the ANU, and Frank Jackson, Karen Neander and David Braddon-Mitchell from the Philosophy Department, IAS, ANU. All the paper's faults are, of course, mine.     

Attitudes of college students enrolled in 2-year health care programs towards online learning

Colleges offering 2-year diplomas to high-school graduates were among the forefront leaders in online learning however studies illustrating appropriate course construction for such student populations are scarce. Pharmacy Math (MATH16532) is a core course for students enrolled in the Practical Nursing (PN) and Pharmacy Technician (PT) programs at Sheridan Institute. PT and PN students enrolled in MATH16532 during their first term were surveyed to determine student attitudes and skills gained from participating in an online course. Students were then followed up during their second term studies to determine transferability of skills gained. Initially, students did not exhibit a positive attitude towards the online version of Math16532. Participation in the online version of MATH16532 however allowed students to enhance their written ability and critical appraisal skills, gain time management skills, and become independent learners. PT and PN students preferred an orientation session at the beginning of the course and a well organized, easy-to-navigate course. Even though considered as predominantly digital native students, both student groups remained anxious throughout the course regarding the online delivery and preferred a hybrid mode of delivery. Despite the initial resistance to an online math course, students indicated that they would retake the course again in an online format towards the end of the course and there appeared to be a trend to enrol in another online course. Several recommendations regarding the design and construct of online courses in a 2-year college program are provided to facilitate acceptance of online learning for students enrolled in such programs.     

利用Matlab直观描述极限概念

随着科学及社会的高速发展,越来越多与数学交叉的新学科诞生,使高等数学的应用不断得到挖掘、开发,成为高等院校重要的基础课程。极限概念和极限的思想方法是高等数学的基石,掌握极限概念并运用极限的思想方法解决实际问题不可回避。在教学中,利用matlab软件将极限过程可视化,使学生准确把握极限概念,为高等数学的学习打好基础,并由此提高解决实际问题的能力。     

开采沉陷岩移参数研究现状分析

开采沉陷岩移参数是表征岩层和地表移动规律的重要参数,其取值的准确与否直接影响到矿山生产设计的合理性和安全性.开采沉陷岩移参数的确定方法主要有实测数据拟合、回归分析、工程类比、神经网络、力学反演分析法和模糊数学方法.在综合分析大量文献的基础上,综述了开采沉陷岩移参数的研究现状,指出了可以应用相似理论确定不同地质采矿条件下开采沉陷岩移参数.     

模糊数学综合评判法在菜肴感官评定中的应用——以川菜代表性菜肴鱼香肉丝为例

感官评定是控制烹饪菜品质量的重要途径之一,文章以川菜代表性菜品——鱼香肉丝为评定对象,选取色、香、味、形、质等因素并设置合理的权重,对同一试验小组A、B、C、D、E等5道鱼香肉丝菜肴进行模糊数学综合评定。试验结果表明,用模糊数学综合评判法,能客观而准确地区分出不同烹饪菜肴的差异程度和等级,即5道鱼香肉丝感官评定等级从高到低为：C〉D〉E〉A〉B。     

高职学生“高等数学”学习的非智力问题的探讨

非智力问题对现阶段高职学生高等数学学习效果的影响十分突出。从学习动机、兴趣、习惯等非智力因素方面分析了高职学生高等数学学习效果差的原因,提出激发学生学习动机、培养学生学习兴趣、改变学生不良学习习惯等措施,以期改变高等数学“教师难教、学生难学”的局面。