The Emergence of Mathematical Meaning pdf epub mobi txt 电子书下载 2026

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出版者:Lawrence Erlbaum Assoc Inc

作者:Cobb, Paul (EDT)/ Bauersfeld, Heinrich (EDT)

出品人:

页数:416

译者:

出版时间:1995-5

价格:$ 169.50

装帧:HRD

isbn号码:9780805817287

丛书系列:

图书标签:

数学教育
数学认知
数学史
概念形成
学习理论
认知科学
数学哲学
符号学
知识构建
意义建构

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具体描述

This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers.

The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.

《The Emergence of Mathematical Meaning》是一本深入探索数学概念如何在人类认知中逐渐显现和体现的书籍。它系统地分析了从早期数学符号到现代抽象理论的发展过程，揭示出数学语言与人类思维之间的紧密联系。这本书特别关注数学结构在不同历史阶段、文化背景下的演变，通过多角度的案例研究，让读者深刻体会数学不仅是一种工具，更是理解世界的重要方式。全书以严谨的逻辑和丰富的实例为基础，详细描述了数学意义的形成与传播。在早期社会，人们通过简单的数字系统进行交换和记录；随着时间的推移，这些符号逐渐演变为更复杂的抽象表达。书中对这一进程的剖析，帮助读者理解数学如何在不同文明中被赋予不同意义，同时揭示了其核心价值所在。作者通过跨学科的方法，将数学理论与哲学、历史和社会文化相结合，为读者提供了一幅丰富多彩的视角，让人们重新审视数学在日常生活和学术研究中的重要性。这本书不仅适合对数学感兴趣的人阅读，也能引起对人类知识体系及其演进的思考。书中还特别强调了语言与概念之间的互动，探讨了为何某些数学表达在特定情境下会被赋予深刻的意义。这种分析不仅限于理论层面，更关注实际应用中的表现，如算法、模式识别和科学模型的发展。通过这种方式，读者能够更清晰地看到数学为什么能够成为一种普遍适用且强大的工具。此外，《The Emergence of Mathematical Meaning》注重培养批判性思维，引导读者反思数学概念的来源及其背后的逻辑关系。书中包含许多互动式问题和案例分析，旨在激发读者主动参与到知识探索中，从而加深对主题的理解。整个内容经过细致的设计，力求传达数学不仅是符号和公式的集合，更是一种深具意义且不断演进的语言。它邀请读者走进一个充满智慧与逻辑的领域，在其中发现数学如何塑造我们对世界的理解和认知。这本书适合所有对科学、哲学及教育感兴趣的人，提供一种全新的视角来思考知识的力量。