1. Each of the following mathematical symbols represents an English word, which in turn represents a physical object. Fill in the blanks appropriately:
1a. The mathematical symbol L represents ____________(English word), and this represents _________________(physical object).
1b. The mathematical symbol g represents ____________(English word), and this represents _________________(physical object).
1c. The mathematical symbol m represents ____________(English word), and this represents _________________(physical object).
1d. The mathematical symbol / represents ____________(English word),
and this represents _________________(a mathematical operation).
1e. Translate the mathematical statement: "1 mg/L" into
English words. (Hint, use your answer to the above to assist
you.)
2. Question 1 above suggests that some mathematical symbols are
simply ______________ of English words. (Fill in the blank.)
Answer: models or surrogates or substitutes
3. In class we discussed how mathematics is a language, in
the same way that English and Spanish are languages.
3a. Provide examples of (i) a rule that governs how mathematical symbols can and cannot be combined, and (ii) a grammatical or syntax rule governing how symbols in the English language can and cannot be combined. (one paragraph answer)
3b. Question 1 above suggests that not only are math and
English languages, but so is the real physical world! For
the real physical world and its "language," provide an example of
a "symbol" and a "rule" for combining these symbols. (one
paragraph answer)
Hint: Be creative. We did not talk about this in class. But
we did talk about chemical elements, and the ways in which
they can and cannot be combined.