By Albert A. Cuoco, Frances R. Curcio
The point of interest of NCTM's 2001 Yearbook is one point of the way scholars study arithmetic specifically, how they discover ways to shape abstractions and construct mathematical representations of phenomena. It explains how scholars come to improve mathematical behavior of brain, or even how they advance misunderstandings approximately arithmetic. Discussions at the nature and roles of illustration, using illustration instruments for gaining insights, numerous image platforms utilized in arithmetic, and the position of context within the interaction among modeling and illustration make this a great source for lecturers who have the desire to make shrewdpermanent judgements approximately content material and pedagogy.
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Extra info for The Roles of Representation in School Mathematics: 2001 Yearbook (Yearbook National Council of Teachers of Mathematics)
Despite lexical similarity, reaching the second inference on the basis of a number's representation appears to be more difficult for a learner. It involves awareness of the uniqueness of prime decomposition entailed by the fundamental theorem of arithmetic. Attending to the Structure of the Division Algorithm Consider the number K= 6 x 147 + 1.
In Journalof MathematicalBehavior 17 (1998): 25-32. Skinner, B. F. Science and Human Behavior. New York: Free Press, 1953. About Behaviorism. New York: Alfred A. Knopf, 1974. Streefland, Leen. " journal of MathematicalBehavior 15 (1996): 55-77. , and Anthony J. Picard. Behavioral Objectives and EvaluationalMeasures: Science and Mathematics. Columbus, Ohio: Charles E. , 1972. REPRESENTATIONS AND THE DEVELOPMENT OP MATHEMATICAL CONCEPTS 23 von Glasersfeld, Ernst, ed. Radical Constructivism in Mathematics Education.
Princeton University Press, 1954b. Presmeg, Norma. " In EducationalStudies in Mathematics 23 (1992): 595-610. " In Journalof MathematicalBehavior 17 (1998): 25-32. Skinner, B. F. Science and Human Behavior. New York: Free Press, 1953. About Behaviorism. New York: Alfred A. Knopf, 1974. Streefland, Leen. " journal of MathematicalBehavior 15 (1996): 55-77. , and Anthony J. Picard. Behavioral Objectives and EvaluationalMeasures: Science and Mathematics. Columbus, Ohio: Charles E. , 1972. REPRESENTATIONS AND THE DEVELOPMENT OP MATHEMATICAL CONCEPTS 23 von Glasersfeld, Ernst, ed.