Rational Numbers (eBook, PDF)

An Integration of Research
Redaktion: Carpenter, Thomas P.; Romberg, Thomas A.; Fennema, Elizabeth

• Format: PDF

Produktbeschreibung

Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain.

Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 396
• Erscheinungstermin: 12. Oktober 2012
• Englisch
• ISBN-13: 9781136476570
• Artikelnr.: 38268768

Autorenporträt

Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg

Inhaltsangabe

Contents: Part I:Overview.T.P. Carpenter
E. Fennema
T.A. Romberg
Toward A Unified Discipline of Scientific Inquiry. Part II:Content Analyses of Rational Numbers.M.J. Behr
G. Harel
T. Post
R. Lesh
Rational Numbers: Toward a Semantic Analysis -- Emphasis on the Operator Construct. T.E. Kieren
Rational and Fractional Numbers: From Quotient Fields to Recursive Understanding. Part III:Students' Thinking.N.K. Mack
Learning Rational Numbers With Understanding: The Case of Informal Knowledge. L.B. Resnick
J.A. Singer
Protoquantitative Origins of Ratio Reasoning. S.J. Lamon
Ratio and Proportion: Children's Cognitive and Metacognitive Processes. Part IV:Teachers and Teaching.D.L. Ball
Halves
Pieces
and Twoths: Constructing and Using Representational Contexts in Teaching Fractions. C.A. Brown
A Critical Analysis of Teaching Rational Number. J.A. Hiebert
Benefits and Costs of Research That Links Teaching and Learning Mathematics. J.T. Sowder
N. Bezuk
L.K. Sowder
Using Principles From Cognitive Psychology to Guide Rational Number Instruction for Prospective Teachers. Part V:Assessment.S.P. Marshall
Assessment of Rational Number Understanding: A Schema-Based Approach. Part VI:Curriculum and Instruction. L. Streefland
Fractions: A Realistic Approach. T.R. Post
K.A. Cramer
M. Behr
R. Lesh
G. Harel
Curriculum Implications of Research on the Learning
Teaching
and Assessing of Rational Number Concepts.