عنوان

How humans learn to think mathematically :

شابک

1107035708

شابک

1107668549

شابک

9781107035706

شابک

9781107668546

عنوان اصلي

How humans learn to think mathematically :

نام عام مواد

[Book]

ساير اطلاعات عنواني

exploring the three worlds of mathematics /

نام نخستين پديدآور

David Tall, emeritus professor in mathematical thinking, University of Warwick, visiting professor, Mathematics Education Centre, Loughborough University.

محل نشرو پخش و غیره

Cambridge :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2013.

نام خاص و کميت اثر

xix, 457 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm.

عنوان فروست

Learning in doing : social, cognitive and computational perspectives

متن يادداشت

Includes bibliographical references (pages 433-445) and index.

متن يادداشت

I. Prelude -- About this Book -- II. School Mathematics and Its Consequences -- The Foundations of Mathematical Thinking -- Compression, Connection and Blending of Mathematical Ideas -- Set-befores, Met-befores and Long-term Learning -- Mathematics and the Emotions -- The Three Worlds of Mathematics -- Journeys through Embodiment and Symbolism -- Problem-Solving and Proof -- III. Interlude -- The Historical Evolution of Mathematics -- IV. University Mathematics and Beyond -- The Transition to Formal Knowledge -- Blending Knowledge Structures in the Calculus -- Expert Thinking and Structure Theorems -- Contemplating the Infinitely Large and the Infinitely Small -- Expanding the Frontiers through Mathematical Research -- Reflections -- Appendix: Where the Ideas Came From.

بدون عنوان

0

متن يادداشت

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level. Traces mathematical development from child to adult ; Encourages a common framework useful for researchers across different fields ; Looks at teaching, curriculum, and cognitive development in elementary school through postgraduate research.--Publisher website.

منبع سفارش / آدرس اشتراک

Cambridge Univ Pr, 100 Brook Hill Dr, West Nyack, NY, USA, 10994-2133, (845)3537500

موضوع مستند نشده

Cognition in children.

موضوع مستند نشده

Cognition.

موضوع مستند نشده

Knowledge, Theory of.

موضوع مستند نشده

Mathematics-- Philosophy.

موضوع مستند نشده

Mathematics-- Psychological aspects.

موضوع مستند نشده

Mathematics-- Study and teaching.

موضوع مستند نشده

Thought and thinking.

موضوع مستند نشده

Cognition in children.

موضوع مستند نشده

Cognition.

موضوع مستند نشده

Denken

موضوع مستند نشده

Formalismus.

موضوع مستند نشده

Knowledge, Theory of.

موضوع مستند نشده

Kognition

موضوع مستند نشده

Kognition.

موضوع مستند نشده

Matematik-- psykologiska aspekter.

موضوع مستند نشده

Matematik-- teori, filosofi.

موضوع مستند نشده

Mathematics-- Philosophy.

موضوع مستند نشده

Mathematics-- Psychological aspects.

موضوع مستند نشده

Mathematics-- Study and teaching.

موضوع مستند نشده

Mathematik.

موضوع مستند نشده

Mathematikunterricht

موضوع مستند نشده

Metamatematik.

موضوع مستند نشده

Symbolische Form

موضوع مستند نشده

Tänkande.

موضوع مستند نشده

Thought and thinking.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Tall, David Orme.

تاريخ عمليات

20200822150555.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y