... explaining why this is so requires a new, and more
abstract, concept of algebra (see Chapter 19).
J. Stillwell, Mathematics and Its History, Undergraduate Texts in Mathematics, 87
DOI 10.1007/978-1-4419-6053-5
6,
c
... v
2
v
, 2u,
u
2
+ v
2
v
and
u
2
− w
2
w
, 2u,
u
2
+ w
2
w
for some rational v and w. Putting the two together (Figure 5.2) gives an ar-
bitrary rational triang...
... understanding scientific concepts; designing
and planning experiments and investigations; conducting experiments or investigations;
learning about the nature of science and inquiry; and understanding ... eligible schools;
• Randomly selecting a mathematics and science class from each sampled school; and
EXECUTIVESUMMARY
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Mathematics and S...
... usually gets better when he sits up and hangs his feet
off the bed. This time, the pain was more severe and did not improve, and
he now feels like the foot is numb and he cannot move his toes.
On ... all, I appreciate my ever-loving wife Terri, and our four wonderful children,
Andy, Michael, Allison, and Christina, for their patience and understanding.
Eugene C. Toy
ACKNOWLEDGME...