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Patrick W. Thompson  
Research on students' development of algebra and calculus ideas in grades 316, on the nature of multiplicative reasoning and its role in learning sophisticated mathematical ideas, and on teaching and learning statistical and probabilistic reasoning. Publications, available as PDF downloads, include Multiplicative conceptions of arithmetic mean; Calculational and conceptual orientations in teaching mathematics; Logo as a medium for thinking about thinking; Yes, Virginia, some children do grow up to be mathematicians; Bridges between mathematics and science education; Concrete materials and teaching for mathematical understanding; The development of the concept of speed and its relationship to concepts of rate; Imagery and the development of mathematical reasoning; Multiplicative relationships among fraction, measurement, multiplication, and division; Salient aspects of experience with concrete manipulatives; and Images of rate. Course descriptions, lecture notes, final exam reviews, syllabus, and assignments for the courses Methods of Teaching Mathematics in Elementary School and for Methods of Teaching Secondary Mathematics.  


Levels:  Elementary, Middle School (68), High School (912), College 
Languages:  English 
Resource Types:  Course Notes, Syllabi, Articles 
Math Topics:  Algebra, Multiplication, Calculus (Multivariable), Probability, Statistics 
Math Ed Topics:  Psychological Research 
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