Integrating Research on the Graphical Representation of Functions

Integrating Research on the Graphical Representation of Functions

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This volume focuses on the important mathematical idea of functions that, with the technology of computers and calculators, can be dynamically represented in ways that have not been possible previously. The book's editors contend that as result of recent technological developments combined with the integrated knowledge available from research on teaching, instruction, students' thinking, and assessment, curriculum developers, researchers, and teacher educators are faced with an unprecedented opportunity for making dramatic changes. The book presents content considerations that occur when the mathematics of graphs and functions relate to curriculum. It also examines content in a carefully considered integration of research that conveys where the field stands and where it might go. Drawing heavily on their own work, the chapter authors reconceptualize research in their specific areas so that this knowledge is integrated with the others' strands. This model for synthesizing research can serve as a paradigm for how research in mathematics education can -- and probably should -- proceed.lessons. While the graphing content described in the previous paragraph is set in a a€œreal-worlda€ context, this material is not. ... In Grade 7 and Grade 8, about 14% and 37 070 of the exercises were global, respectively, considerably more than in the earlier grades where ... 68) pointed out, a€œIt is easy to underestimate the level of sophistication involved in the construction of the Cartesian plane schema.

Title:Integrating Research on the Graphical Representation of Functions
Author:Thomas A. Romberg, Elizabeth Fennema, Thomas P. Carpenter
Publisher:Routledge - 2012-10-12


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