By Amy Rauen

Key good points:
- subject matters correlated to the 1st grade math curriculum
- Leveled textual content reviewed through a math curriculum advisor and a analyzing consultant
- enticing full-color pictures and illustrations that help the textual content and reduction comprehension
- Examples that relate math to real-world situations
Special positive aspects:
- pictures and illustrations that help the textual content and construct math skills
- thesaurus

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Extra info for Adding and Subtracting in Math Club (Math in Our World)

Sample text

This, together with Common Notion 1, is sullicient to show that all three sides of the triangle are of the same length. A purist could raise some objections to Euclid’s procedure. For instance, how do we know that the two circles, one with the center at A, and the other with the center at B, meet at all? And if they do meet, is Euclid correct in assuming, as he obviously does, that they meet in a point? This latter fact could probably be proved from the definition of “line” as “breadthless length”; but Euclid certainly does not do it.

With these Euclidean propositions we have placed some pages from Lobachevski’s Theory of Parallels. This work discusses Euclid’s theory of parallels, finds fault with it, and substitutes another theory for it. ” Euclid: Elements of Geometry* BOOK I PROPOSITION 27 Zf a straight line falling on two straight lines make the alternate angles equal to one another, the straight lines will be parallel to one another. For let the straight line EF falling on the two straight lines AB, CD make the alternate angles AEF, EFD equal to one another; * From The Thzrteen Books of Euclid’s Elements, trans.

Euclid’s postulate makes explicit what we feel must be true: if the postulate did not hold, the situation depicted in Figure 1-5~ might prevail (if the two figures l-Sa and b were superimposed on one another). This situation cannot exist, however, if all right angles are equal to one another. Finally we come to the common notions, or axioms. Euclid sets down five statements which, he feels, are self-evident. That is to say, they are true and known to be true by everyone who understands the meaning of the terms in the statements.

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