Author: Eric de Corte
Publisher: CRC Press
ISBN: 9789026516283
Category : Education
Languages : en
Pages : 232
Book Description
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Making Sense of Word Problems
Author: Eric de Corte
Publisher: CRC Press
ISBN: 9789026516283
Category : Education
Languages : en
Pages : 232
Book Description
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Publisher: CRC Press
ISBN: 9789026516283
Category : Education
Languages : en
Pages : 232
Book Description
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Development and Calibration of the Forward Scatter Visibility Meter
Author: H. Stuart Muench
Publisher:
ISBN:
Category : Calibration
Languages : en
Pages : 44
Book Description
A new visibility instrument, the forward scatter visibility meter, has been developed. This report describes the development of the instrument, including the various field tests. Some thirty instruments have been operationally deployed in a network of automatic weather stations near L.G. Hanscom Field in Bedford, Mass. Comparisons between field instruments and transmissometers yield differences of about plus or minus 19 percent. Comparisons with visual observations show differences of plus or minus 34 percent and greater. Analyses of individual cases uncovered difficulties with the response time of observers and with ability to diagnose spatially varying visibility. The accuracy of visibility measurements is assessed and the report concludes by looking at the future of visibility instruments. (Author).
Publisher:
ISBN:
Category : Calibration
Languages : en
Pages : 44
Book Description
A new visibility instrument, the forward scatter visibility meter, has been developed. This report describes the development of the instrument, including the various field tests. Some thirty instruments have been operationally deployed in a network of automatic weather stations near L.G. Hanscom Field in Bedford, Mass. Comparisons between field instruments and transmissometers yield differences of about plus or minus 19 percent. Comparisons with visual observations show differences of plus or minus 34 percent and greater. Analyses of individual cases uncovered difficulties with the response time of observers and with ability to diagnose spatially varying visibility. The accuracy of visibility measurements is assessed and the report concludes by looking at the future of visibility instruments. (Author).
NBS Special Publication
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 228
Book Description
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 228
Book Description
Index to Mathematical Problems, 1975-1979
Author: Stanley Rabinowitz
Publisher: MathPro Press
ISBN: 9780962640124
Category : Mathematics
Languages : en
Pages : 548
Book Description
Publisher: MathPro Press
ISBN: 9780962640124
Category : Mathematics
Languages : en
Pages : 548
Book Description
FAA-AM.
Author:
Publisher:
ISBN:
Category : Aviation medicine
Languages : en
Pages : 644
Book Description
Publisher:
ISBN:
Category : Aviation medicine
Languages : en
Pages : 644
Book Description
Hydrogen
Author: United States. Congress. House. Committee on Science and Technology. Subcommittee on Energy Research, Development, and Demonstration
Publisher:
ISBN:
Category : Energy policy
Languages : en
Pages : 1386
Book Description
Publisher:
ISBN:
Category : Energy policy
Languages : en
Pages : 1386
Book Description
Bulletin of Abstracts
Author: American Gas Association
Publisher:
ISBN:
Category :
Languages : en
Pages : 402
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 402
Book Description
The Problem/Reaction Meter
Author: Julie Balderston
Publisher:
ISBN: 9780692547786
Category :
Languages : en
Pages : 30
Book Description
Welcome to Social City! Follow Brian as he navigates his way through Social City, experiencing problems of different sizes. Using the Problem/Reaction Meter, he and his friend Ellie gauge the size of each problem and choose a reaction on the same level. This book makes abstract social-emotional concepts concrete for children who overreact to little problems, helping them realize the importance of matching the size of their reaction to the size of the problem. Visuals and lessons are included to help children further understand this concept and apply it to their own lives. This second book of the Social City series is a fun and effective resource for teachers, speech language pathologists, counselors and parents to use with preschool and elementary-aged children.
Publisher:
ISBN: 9780692547786
Category :
Languages : en
Pages : 30
Book Description
Welcome to Social City! Follow Brian as he navigates his way through Social City, experiencing problems of different sizes. Using the Problem/Reaction Meter, he and his friend Ellie gauge the size of each problem and choose a reaction on the same level. This book makes abstract social-emotional concepts concrete for children who overreact to little problems, helping them realize the importance of matching the size of their reaction to the size of the problem. Visuals and lessons are included to help children further understand this concept and apply it to their own lives. This second book of the Social City series is a fun and effective resource for teachers, speech language pathologists, counselors and parents to use with preschool and elementary-aged children.
Effects of Alcohol on Complex Performance
Author: W. Dean Chiles
Publisher:
ISBN:
Category : Alcohol
Languages : en
Pages : 20
Book Description
Publisher:
ISBN:
Category : Alcohol
Languages : en
Pages : 20
Book Description
Real-Time: Theory in Practice
Author: J.W.de Bakker
Publisher: Springer Science & Business Media
ISBN: 9783540555643
Category : Computers
Languages : en
Pages : 740
Book Description
In the past decade, the formal theory of specification, verfication and development of real-time programs has grown from work of a few specialized groups to a real "bandwagon". Many eminent research groups have shifted their interests in this direction. Consequently, research in real-time is now entering established research areas in formal methods, such as process algebra, temporal logic, and model checking. This volume contains the proceedings of a workshop dedicated to the theory of real-time with the purpose of stepping back and viewing the results achieved as well as considering the directions of ongoing research. The volume gives a representative picture of what is going on in the field worldwide, presented by eminent, active researchers. The material in the volume was prepared by the authors after the workshop took place and reflects the results of the workshop discussions.
Publisher: Springer Science & Business Media
ISBN: 9783540555643
Category : Computers
Languages : en
Pages : 740
Book Description
In the past decade, the formal theory of specification, verfication and development of real-time programs has grown from work of a few specialized groups to a real "bandwagon". Many eminent research groups have shifted their interests in this direction. Consequently, research in real-time is now entering established research areas in formal methods, such as process algebra, temporal logic, and model checking. This volume contains the proceedings of a workshop dedicated to the theory of real-time with the purpose of stepping back and viewing the results achieved as well as considering the directions of ongoing research. The volume gives a representative picture of what is going on in the field worldwide, presented by eminent, active researchers. The material in the volume was prepared by the authors after the workshop took place and reflects the results of the workshop discussions.