of the screen), a line with a specific slope such as \(y = -2\), and complex functions such as \(y =\mathrm{ sin}(x)+x\) and invited to brainstorm and sketch ideas to generate these sum graphs, taking turns testing out their ideas on the boards in front of the class (Fig....
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This ideally comes outside of class right after the Unit Test. A Note on Productive Disposition The authors of Adding It Up, the National Research Council’s 2001 publication on children’s mathematical learning, define productive disposition as “the tendency to see sense in mathematics, to ...
The basic idea of deductive reasoning is that if something is true of a class of things in general, this truth applies to all members of that class. Inductive Reasoning A method of drawing a probable conclusion from an emerging configuration of data. It occurs by analyzing observations and ...
Chapter Seven: A Holy Day (Web page prepared by Damayanti Devi Dasi) Audio: Very auspicious day (1982). Srila Sridhar Maharaj chants the glories of personalities connected with Sri Krishna Vasanta Panchami. "Vishnupriya Devi's life is that of helping the fallen to go to the utmost, the...
We saw an example of a concept class that was easy to learn: intervals on the real line (and more generally, if you did the exercise, axis-aligned rectangles in a fixed dimension). One of the primary goals of studying models of learning is to figure out what is learnable and what is...
If a rigorously defined prescription is given for the solution of some class of problems, then we speak of a mathematical algorithm. From the very creation of an adequately developed system of mathematical symbols, the problem of constructing sufficiently general and at the same time brief ...