LINKING HOME AND SCHOOL MATHEMATICS: THE HOME SCHOOL KNOWLEDGE EXCHANGE PROJECT

In this paper, we report some initial findings from the numeracy strand of the Home School Knowledge Exchange Project, which is part of the ESRC Teaching and Learning Research Programme. The overall aim of the project is to develop, implement and evaluate the impact of new methods of exchanging knowledge between home and school. The project has three strands, one of which focuses on enhancing numeracy at Key Stage 2. In this strand we are working with the teachers, children and parents of four primary schools, two in Bristol and two in Cardiff. The paper describes the knowledge exchange activities developed within this strand, and reports some initial findings and issues for further exploration. The nature of home mathematics, and its relationship to school mathematics, is discussed, and this is illustrated through the case study of a girl called Nadia. The paper concludes by discussing issues arising from implementing methods of knowledge exchange.     

论事理数理学的发展

我们谈论事理数理学的发展 ,是对数学和运筹学发展简况的回顾后作出的 ,是以人们多年来逐步发现若干事理与数理有重要联系的经验为基础来谈论的。从这种观点来看 ,事理数理学的发展 ,尚处于初始阶段。从事理与数理的联系来研究问题 ,特别是研究经济发展中的理论问题 ,是大有可为的。这种研究 ,既要以经济中有关的经验、理论、统计资料为基础 ,又要有相应的计算手段 ,还要研究出一些新的数学理论和方法 ,特别是能用来处理有相互影响的数量关系的方法 ,以及用来研究包含有矛盾的事理的数学方法。本文在谈论事理数理学的一些初步研究经验之后 ,以山东大学运筹组的两项研究工作为例 ,谈谈一些实际的应用研究的经验。其中一项是在一定的简化了的情况下 ,从理论上论述如何能解决国家计划与市场经济结合的问题