从数学解题看数学美

本论述了“教学好玩”(陈省身语)的五个方面；教学语言精确；教学发现(类比发现；归纳发现和直党发现)；教学解题思路；教学思想方法和数学应用都体现了教学关。     

An “Instrumental Approach” to Study the Integration of a Computer Tool Into Mathematics Teaching: the Case of Spreadsheets

This article reports on research focused on the integration of a specific computer tool, the spreadsheet, into mathematics teaching. After presenting some important results obtained by research in this area, we revisit these in the light of an instrumental approach, which we perceive as essential to analyse the construction of mathematical meanings in spreadsheet environments and to understand better the questions of technological integration. Then, these theoretical elements are used in order to design an exploratory experiment with grade 7 pupils and analyse its results.     

Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters

For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.     

APPLICATION OF CLUSTER ANALYSIS TO THE TAXONOMY OF ORDER AND SUBORDER OF THE TRILOBITA

In the present paper, in accordance with the exoskeleton structure, the method of Q-mode cluster analysis is used for a taxonomic study of 17 orders (suborders) of the Tritobita that was established or adopted by H. J. Harrington (1959), J. Bergstrm (1973), and R. A. Fortey and R. M. Owens (1975). The author suggests that the Trilobita be subdivided into 9 orders and 14 suborders, i. e. order Agnostida Kobayashi, 1935 (suborder Agnostina Salter, 1864 and suborder Eodiscina Kobayashi, 1939), order Redlichiida Richter, 1933 (suborder Redlichiina Richter, 1933, suborder Bathynotina Lochman-Balk, 1959 and suborder Olenellina Resser, 1938), order Corynexochida Kobayashi, 1935, order Ptychopariida Swinnerton, 1915 (suborder Ptychopariina Richter, 1933, suborder Proetina Fortey & Owens, 1975, nom. transl, ex Proetida Fortey & Owens, 1975 and suborder Calymenina Swinnerton, 1915, emended herein), order Illaenida Jaanusson, 1959 (suborder Illaenina Jaanuson, 1959 and suborder Asaphina Salter, 1864, emended herei     

化学计量学定量分析模型的评价及应用

本文介绍了评价化学计量学校正技术所建立的定量分析模型定量分析效果的一种实用方法，根据定量分析模型对样品待测组分的计算值ｘ与样品待测组分的标准值ｙ建立简单回归模型：ｙ＝ａ＋ｂｘ通过检验回归参数ａ＝０，ｂ＝１的假设能否在一定概率水平上被接受，评价定量分析模型对样品待测组分的预测效果。     

Wilson's functional equations on groups

We study properties of solutionsf, g, h C(G) of the functional equation

基于灰色数学的洗胃液量的软测量

鉴于洗胃液量实时在线检测与求解的困难,提出利用灰色数学的累加生成方法,把液量作为主导变量,管路二处压力差的累积压力作为二次变量,根据二者之间的一一映射关系,仿真实验研究洗胃液量的软测量技术,给出了实验结果,为液量的工程检测提供了一种数学方法.     

Student enrichment in mathematics: a case study with first year university students

ABSTRACT

This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an enrichment programme. Following the intervention, students completed a questionnaire and a few were interviewed to establish their experiences of the enrichment programme. We discuss the successes and pitfalls of the intervention and report on the impact it had on the participants.     

Generalized nets in neurology: an example of mathematical modelling

The purpose of this paper is to explain the basic theory of generalized nets (GNs) and their applications in the context of the differential diagnosis of neurological diseases. We define formally the concepts of a GN and transitions of a GN and also outline some remarks on their theory. The work here constructs an example which aims to trace the process of diagnosing different signs and symptoms in neurology. This will enable the interested reader to see the scope of nets in general as tools for the modelling, simulation, optimization and control of real processes.     

Pedagogical challenges in making mathematics relevant for Indigenous Australians

After the invasion and occupation of their land by Europeans, Indigenous Australians were expected to benefit from a Western education system based on that of the dominant Europeans. Gradually educators realized that Aboriginal children learn differently and that Indigenous culture and pedagogy has validity and strength. Of course, educators also need to be acutely aware of the diversity of Indigenous cultures in Australia and that there is not a monolithic sense of Aboriginal identity or Aboriginal pedagogy. Dispossession and alienation, poor health and few employment opportunities must also affect educational interest, attendance, application and performance. In this paper the characteristics of Indigenous learners are examined and pedagogical strategies to assist in both students' learning and teachers' delivery are explored. The message conveyed in this paper has particular relevance for teaching mathematics to Aboriginal learners. It is also of considerable value in teaching mathematics to nonAboriginal students, in Australia and elsewhere.