Mathematical reasoning : analogies, metaphors, and images
Mathematical reasoning : analogies, metaphors, and images
复制标题
数学推理：类比、隐喻和图像
DOI：
10.4324/9780203053485
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Lyn D. English
中科院分区：
文献类型：
--
作者：
Lyn D. English
目录：序言。第一部分：导言。L.D.英语，类比，隐喻和图像：数学推理的工具。第二部分：基于思维的数学的认知基础。G. Lakoff，R.E. Nunez，数学的隐喻结构：勾画出基于思维的数学的认知基础。第三部分：数学推理：类比。R.B.戴维斯，CA。Maher，学生如何思考：代表的作用。P.A.亚历山大，C.S.白色，M。类比推理与早期数学学习B。Gholson，D.史密斯，A。Buhrman，M.K.邓肯，K.A.皮尔斯，儿童类比问题解决技能的发展。L.D.英语，儿童在分类和解决计算应用题中的推理过程。M. Bassok，两种类型的依赖于内容和结构之间的相关性，在推理关于文字问题。M.J. Rattermann，评论：数学推理和类比。第四部分：数学推理：隐喻、换喻和意象。北卡罗来纳数学学习中的预设、隐喻推理和借代。G.H.惠特利，推理与图像在数学活动。北卡罗来纳在数学中使用图像的推广。D.H.克莱门茨，J.萨拉马，儿童的数学推理与海龟编程隐喻。A. Sfard，评论：概念增长的隐喻根源。
Contents: Preface. Part I: Introduction. L.D. English, Analogies, Metaphors, and Images: Vehicles for Mathematical Reasoning. Part II: Cognitive Foundations for a Mind-Based Mathematics. G. Lakoff, R.E. Nunez, The Metaphorical Structure of Mathematics: Sketching Out Cognitive Foundations for a Mind-Based Mathematics. Part III: Mathematical Reasoning: Analogies. R.B. Davis, C.A. Maher, How Students Think: The Role of Representations. P.A. Alexander, C.S. White, M. Daugherty, Analogical Reasoning and Early Mathematics Learning. B. Gholson, D. Smither, A. Buhrman, M.K. Duncan, K.A. Pierce, Children's Development of Analogical Problem-Solving Skill. L.D. English, Children's Reasoning Processes in Classifying and Solving Computational Word Problems. M. Bassok, Two Types of Reliance on Correlations Between Content and Structure in Reasoning About Word Problems. M.J. Rattermann, Commentary: Mathematical Reasoning and Analogy. Part IV: Mathematical Reasoning: Metaphors, Metonymies, and Images. N.C. Presmeg, Reasoning With Metaphors and Metonymies in Mathematics Learning. G.H. Wheatley, Reasoning With Images in Mathematical Activity. N.C. Presmeg, Generalization Using Imagery in Mathematics. D.H. Clements, J. Sarama, Children's Mathematical Reasoning With the Turtle Programming Metaphor. A. Sfard, Commentary: On Metaphorical Roots of Conceptual Growth.