Learning to Think Mathematically: Problem Solving, Metacognition, and SenseMaking In Mathematics [PDF file]
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http://gse.berkeley.edu/faculty/AHSchoenfeld/Schoenfeld_MathThinking.pdf  


Alan H. Schoenfeld, University of California, Berkeley  
A chapter in D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning: A Project of the National Council of Teachers of Mathematics. "The goals of this chapter are (a) to outline and substantiate a broad conceptualization of what it means to think mathematically, (b) to summarize the literature relevant to understanding mathematical thinking and problem solving, and (c) to point to new directions in research, development and assessment consonant with an emerging understanding of mathematical thinking and the goals for instruction outlined here."  


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