Mathematics Education: Models and Processes

0 avg rating
( 0 ratings by Goodreads )
 
9780805814583: Mathematics Education: Models and Processes

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning.

Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory.

In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.

"synopsis" may belong to another edition of this title.

Review:

Traces history of the psychology of mathematics education, and summarizes principles of cognition and cognitive development....Valuable reference for mathematics educators and graduate students.
The American Mathematical Monthly

...This is a valuable book in what it offers and deserves a place in the library of psychology, mathematics and education departments.
British Journal of Educational Psychology

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 64.95
US$ 60.50

Convert Currency

Shipping: FREE
From United Kingdom to U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Lyn D. English, Graeme S. Halford
Published by Taylor Francis Inc, United States (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Taylor Francis Inc, United States, 1995. Paperback. Book Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****.To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children s mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge. Bookseller Inventory # AAV9780805814583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 60.50
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

English, Lyn D.
Published by Lawrence Erlbaum
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Softcover Quantity Available: 1
Print on Demand
Seller:
Rating
[?]

Book Description Lawrence Erlbaum. Book Condition: BRAND NEW. BRAND NEW Softcover-376pp - This title is now printed on demand - please allow an added 2-3 weeks for shipment! A Brand New Quality Book from a Full-Time Bookshop in business since 1992!. Bookseller Inventory # 2007874

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 62.94
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

ENGLISH, LYN D.; HALFORD, GRAEME S.
Published by Routledge (2017)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: 1
Print on Demand
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Routledge, 2017. Paperback. Book Condition: NEW. 9780805814583 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Print on Demand title, produced to the highest standard, and there would be a delay in dispatch of around 10 working days. Bookseller Inventory # HTANDREE0253745

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 53.19
Convert Currency

Add to Basket

Shipping: US$ 10.59
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

English, Lyn
Published by Routledge (2016)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Routledge, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780805814583_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 60.25
Convert Currency

Add to Basket

Shipping: US$ 5.14
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Lyn D. English
Published by Routledge (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Routledge, 1995. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9780805814583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 53.60
Convert Currency

Add to Basket

Shipping: US$ 11.92
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

English, Lyn D.; Halford, Graeme S.
Published by Routledge (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: 1
Seller:
TEXTBOOKCHARLIE
(Nashville, TN, U.S.A.)
Rating
[?]

Book Description Routledge, 1995. Paperback. Book Condition: New. Brand new! Ships same day or next business day. Free USPS Tracking Number. Excellent Customer Service. Ships from TN. Bookseller Inventory # 216687

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 63.87
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

7.

Lyn D. English
Published by Routledge (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Routledge, 1995. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9780805814583

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 64.57
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

English, Lyn D. (Author)/ Halford, Graeme S. (Author)
Published by Lawrence Erlbaum Assoc Inc (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Lawrence Erlbaum Assoc Inc, 1995. Paperback. Book Condition: Brand New. 1st edition. 376 pages. 9.25x6.00x1.00 inches. In Stock. Bookseller Inventory # __0805814582

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 62.70
Convert Currency

Add to Basket

Shipping: US$ 7.95
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

English, Lyn D.
Published by Routledge (2017)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback Quantity Available: > 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Routledge, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 0805814582

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 82.24
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

10.

Lyn D. English; Graeme S. Halford
Published by Routledge (1995)
ISBN 10: 0805814582 ISBN 13: 9780805814583
New Paperback First Edition Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Routledge, 1995. Paperback. Book Condition: New. book. Bookseller Inventory # M0805814582

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 86.16
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book