The LEMMA series is a collection of booklets that contain sequences of metamathematical activities, which invite students to go beyond memorising and applying rules and skills, to thinking, working, and communicating with intriguing mathematical structures on a higher level.
I chose to delay the epsilon - delta definition until Section 2.8 , when students have a strong understanding of limits . ... exercises , and their solutions for accuracy in every draft of the manuscript and each phase of production .
... antiderivative of a function presented graphically. The remaining three tasks also required participants to sketch and reason about graphical antiderivatives. Task 2 focused on interpreting, in terms of the features of the graph of the ...
Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, ... W. Inouye, Billy Barr, Kenneth B. Armitage, and Brian D. Inouye, “Climate Change is Affecting Altitudinal Migrants and ...
... graphical viewpoint , though insufficient for exact calculations , explains clearly what the integral is and why some ... antiderivatives , even of complicated functions . The simplest and most important antidifferentiation technique is ...
Active Calculus is different from most existing texts in at least the following ways: The style of the text requires students to be active learners; there are very few worked examples in the text, with there instead being 3 or 4 activities ...
Hammersley (2002) described three common ways of understanding the purpose of research. He called them the engineering view, the strong enlightenment view, and the moderate enlightenment view: • The engineering view holds that research ...
Organized to support an "early transcendentals" approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the ...
Maple V and the new generation of mathematical computation systems have the potential of having the same kind of revolutionary impact as high-level general purpose programming languages (e.g. FORTRAN, BASIC, C), application software ...
... antiderivatives ( c : arbitrary constant of integration ) : • f e * dx = e * + c √ √xdx = 3 x2 + c f sin ( x ) dx ... graphical interpretation of the definite integral . Fig . A.2 Graphical representation of the definite integral as ...
(b) In 1910, R. A. Millikan studied the motion of tiny droplets of oil falling in an electric field. A field of strength E exerts a force Ee on a droplet with charge e. Assume that E has been adjusted so the droplet is held stationary ...