The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series) - Image 1

£50.56

Routledge The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series)

Name: The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series)
Brand: Routledge
Price: 50.56 GBP
Availability: InStock

Child Development

This is the usual price. Wait for it to drop, or tell us your number.

£51 today · usual range £0–£0 · best ever £37

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 384 days • 384 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 384 days • 7 price levels

Days at Price

Current Price

Price Analysis

Most common price: £50 (170 days, 44.3%)

Price range: £37 - £61

Price levels: 7 different prices over 384 days

Description

This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

Product Specifications

Brand: Routledge
Format: paperback
ASIN: 0415877709
Category: Books > Subjects > Health, Family & Lifestyle > Families & Parents > Parenting > Child Development
Domain: Amazon UK
Release Date: 02 August 2007
Listed Since: 14 December 2009

Barcode

No barcode data available

Routledge The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series)

This is the usual price. Wait for it to drop, or tell us your number.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series)

Routledge Mathematics in Early Years Education - 4th Edition

Reconceptualizing Early Mathematics Learning (Advances in Mathematics Education)

Growing Mathematical Minds: Conversations Between Developmental Psychologists and Early Childhood Teachers (Eye on Education)

Mathematics Education: Models and Processes

Adventures of Mind and Mathematics (Mathematics in Mind)

Mathematics Education in the Early Years: Results from the POEM3 Conference, 2016

Understanding the Math We Teach and How to Teach It, K-8

Digital Technologies in Designing Mathematics Education Tasks: Potential and Pitfalls: 8 (Mathematics Education in the Digital Era, 8)

Routledge Teaching Mathematics through Story - Early Years Book

Adventures of Mind and Mathematics (Mathematics in Mind)

Mathematics Education in the Early Years: Results from the POEM4 Conference, 2018

Contemporary Research and Perspectives on Early Childhood Mathematics Education (ICME-13 Monographs)

Reflective Primary Mathematics: A guide for student teachers

How Children Learn Math: The Science of Math Learning in Research and Practice

Mathematics Education in the Early Years: Results from the POEM4 Conference, 2018

What is Mathematics: School Guide to Conceptual Understanding of Mathematics

Mathematics Education in the Early Years: Results from the POEM2 Conference, 2014

The Building Blocks of Early Maths: Bringing key concepts to life for 3-6 year olds

Routledge Beyond Classical Pedagogy - Math Teaching Book

Routledge - Maths Mastery in Young Children's Play Book

Mathematics Instruction: Goals, Tasks And Activities - Yearbook 2018, Association Of Mathematics Educators

Beyond Shanghai and PISA: Cognitive and Non-cognitive Competencies of Chinese Students in Mathematics (Research in Mathematics Education)

Children’s Mathematics 4-15