工科高等代数教学中数学直观的培养

数学直观是大学数学思维素质培养的主要目标之一,也是培养大学生数学基础和数学应用能力的关键。从数学教育学和认知心理学的角度,分析了数学思维与数学直观培养的关系,研究了工科高等代数知识对大学生数学直观培养的重要性及基于认知结构的教学方法。并从空间解析几何与高等代数的教学实践出发,通过两个例子说明数学直观对大学生数学思维能力培养的重要性。     

废钢价值核算模型研究

利用投入产出分析方法,从财富论的观点出发,既考虑凝结在废钢中的劳动价值,又计及其所含一次自然资源的价值,提出了废钢价值核算的模型。以国内实例,详细研究并对其价值进行了测算。     

水库移民最低生活保障线测算研究

水库移民在搬迁后面临着极大的社会经济风险,所以构建水库移民的最低生活保障体系是移民社会经济系统重建的重要环节,而水库移民最低生活保障线的测算是关键的部分。笔者从测算原则入手,建立了水库移民最低生活保障线测算的指标体系和数学模型,并结合算例进行了计算。     

Is statistics too difficult?

By means of several historical examples, it is shown that it does not appear to be easy to build bridges between rigorous mathematics and reasonable data-analytic procedures for scientific measurements. After mentioning both some positive and some negative aspects of statistics, a formal framework for statistics is presented which contains the concept formation, derivation of results and interpretation of mathematical statistics as three essential steps. The difficulties especially of interpretation are shown for examples in several areas of statistics, such as asymptotics and robustness. Some problems of statistics in two subject-matter sciences are discussed, and a summary and outlook are given.     

Integer programming formulations of statistical classification problems

A series of approaches is presented to formulate statistical classification problems using integer programming. The formulations attempt to maximize the number of observations that can be properly classified and utilize single function, multiple function and hierarchical multiple function approaches to the problems. The formulations are tested using standard software on a sample problem and new approaches are compared to those of other authors. As the solution of such problems gives rise to various awkward features in an integer programming framework, it is demonstrated that new approaches to formulation will not be completely successful in avoiding the difficulties of existing methods, but demonstrate certain gains.     

A Review of: “An Insider's View of Sexual Science since Kinsey” edited by Ira L. Reiss

Masters, Johnson and Kolodny a volume which claims that risk understated by public This paper presents a brief analysis of the key data contained in MJK's book using simple mathematical models. The paper shows that the unconditional per partner risk of infection for the sexually active heterosexuals in the MJK study is exceeded by the similar risk for typical gay men in San Francisco by a factor of nearly fifty; that the conditional probability of infection given exposure via vaginal sex is about 2% for men and 3% for women per partner (both of these numbers are lower than the corresponding infec‐tivities for unprotected anal sex among gay men); and that an AIDS epidemic among the general heterosexual population would occur only if the average number of sexual partners per year exceeds about 5.3, an unlikely number given the data in MJK's study.     

Mathematical model allowing the coexistence of closely related competitors at the initial stage of evolution

The mathematical model presented here aims to elucidate the essential mechanisms of coexistence of species, especially those of closely related forms, as a result of competition in the same environment. It describes a system where the fate of the competitors or mutants is observed at the initial stage of evolution. The model encompasses both the external variables and the internal state of the competitors, which differ only in one of the metabolic rate constants. Results of simulations, even with the simplified form of the model, show that stable coexistence of closely related forms in a uniform environment is possible. In addition, the model allows the analysis of the limitations on the level of differences and similarities among the competitors for achieving a state of coexistence. The essential mechanisms for the coexistence of closely related competitors are proposed to be the involvement of the metabolic network in allowing the same growth rate of competitors which have different internal states, and the interplay between the internal states of the competitors and the external variables of their environment.     

Deriving Behavior Model Parameters from Survey Data: Self‐Protective Behavior Adoption During the 2009–2010 Influenza A(H1N1) Pandemic

In this paper, we demonstrate how public opinion surveys can be designed to collect information pertinent to computational behavior modeling, and we present the results of a public opinion and behavior survey conducted during the 2009–2010 H1N1 influenza pandemic. The results are used to parameterize the Health Belief Model of individual health‐protective decision making. Survey subjects were asked questions about their perceptions of the then‐circulating influenza and attitudes towards two personal protective behaviors: vaccination and avoidance of crowds. We empirically address two important issues in applying the Health Belief Model of behavior to computational infectious disease simulation: (1) the factors dynamically influencing the states of the Health Belief Model variables and (2) the appropriateness of the Health Belief Model in describing self‐protective behavior in the context of pandemic influenza.     

大学数学基础课教学中融入数学建模思想的实践

数学建模不仅限于解决实际问题,也可以是数学发展过程中提出的理论问题。基于近年来在大学数学基础课教学中融入数学建模思想的教学实践,论述了其主要思路与做法。介绍了将数学建模思想融入数学基础课教学的两个教学案例,即微积分方法的本质和从方程组出发引入线性相关与线性无关概念。     

学前数学活动中的元认知教学行为和话语分析

元认知发展是学前儿童发展的核心之一。通过对学前教师在数学活动中的元认知教学行为和话语进行个案观察和 分析,可以发现相关教学现状不够理想,主要源于教师元认知意识及相关知识或技能不足,同时也是教学客观条件所限。