Mathematical Modeling in the Primary School: Children's Construction of a Consumer Guide

This paper examines 6th grade children's local conceptual development and mathematization processes as they worked a comprehensive mathematical modeling problem (creating a consumer guide for deciding the best snack chip) over several class periods. The children and their teachers were participating in a 3-year longitudinal teaching experiment in which sequences of mathematical modeling problems were implemented from the 5th grade (10 years of age) though to the 7th grade. In contrast to traditional problem solving, mathematical modeling requires children to generate and develop their own mathematical ideas and processes, and to form systems of relationships that are generalizable and reusable. Reported here is a detailed analysis of the iterative cycles of development of one group of children as they worked the problem, followed by a summary of the mathematization processes displayed by all groups. Children's critical reflections on their models are also reported. The results show how children can independently develop constructs and processes through meaningful problem solving. Children's development included creating systems for operationally defining constructs; selecting, categorizing, and ranking factors; quantifying quantitative and qualitative data; and transforming quantities.     

城市交通外部成本量化方法研究

通过对城市中几种常见的出行方式,主要包括:步行、自行车、摩托车、公共汽车、小汽车和出租车等在外部成本方面的数量化研究,提出计算城市交通外部成本的数学模型,并通过案例进行了分析。旨在为交通政策的制定及交通资源的合理利用提供科学依据,以促进城市交通的可持续发展。     

概率论诞生的思想历程

从随机现象的经验探索到概率论学科的形成,经过了千余年的时间。数学家从骰子赌博的问题讨论中发展出概率思想是人类认识史上光彩篇章,值得后人学习和体会。     

对<数学课程标准>的几点认识与思考

阐述了对《数学课程标准》的认识以及贯彻《数学课程标准》应注意的一些问题．     

新技术下的中专教学教材探索

新技术（计算机、计算器、网络）使学生更接近数学概念和拥有数学经验，使数学探索、数学实验以及提高概念的学习效果成为可能。     

文科高等数学教学研究与实践

以文科高等数学教学实践为基础,对该课程的教学进行了研究,并提出了激发学生的学习兴趣,培养文科学生的数学素质,提高教学质量几点建议.     

中小学"数学情境与提出问题"教学探析

中小学“ 情境—问题” 数学教学研究是基于国际、国内数学教育改革大趋势而开展的一项前沿性、探索性与实证性的数学教学研究.它所提倡的课堂教学观有:(1)以人为本,以学生为中心;(2)关注学生的学习过程;(3)发展共性与突出个性.“ 情境—问题” 数学教学实验研究还应在以下 3 方面做出努力:(1)实验研究范围需进一步扩大;(2)将“ 情境—问题” 数学教学的基本理念向其它学科渗透;(3)进一步提升理论研究水平.     

“问题解决”的功能与学生思维品质的培养

“问题解决”在数学教学中具有综合的意义 它既是数学知识的学习———让学生通过实践活动主动地学习知识 ,又是一种能力培养———让学生在解决问题的过程中学会“数学地思维” ,同时还让学生通过锻炼形成数学的意识和良好的个人品质     

From natural numbers to numbers and curves in nature —I

The interconnection between number theory, algebra, geometry and calculus is shown through Fibonacci sequence, golden section and logarithmic spiral. In this two-part article, we discuss how simple growth models based on these entities may be used to explain numbers and curves abundantly found in nature     

一则面向拆卸方向的绿色设计案例

基于数学方法着重介绍了关于拆卸方向的基本性问题的研究，并叙述了不毁坏原则。其目的是利用拆卸方向的数学模型来解决关于绿色拆卸方向的某些问题。利用直角坐标系给出了全部的拆卸方向的基本类型，表示出两类基本的可拆卸方向的基本模型及其数学的表达式，并结合案例叙述了绿色拆卸工作。