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Re: Khan Academy: Math instruction goes viral > backlash
Posted:
Sep 15, 2011 8:14 AM
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On 14 Sept 2011, Registrar@mathsense.org wrote,
>
> Contrary to commonplace opinions, SMSG was not "too
> abstract" for students.
Have you actually examined the Dolciani series and compared them with the previous textbooks? Students and teachers were forced to plow through a quagmire of excessive formalism and abstraction at the beginning of each book. The following are the Table of Contents of the first 70 pages of Mary P. Dolciani et al., "Modern Introductory Analysis," Houghton Mifflin, 1964, 651p.
1-1 Logical Statement; Sets
1-2 Variables and Quantifiers
1-3 Operations on Sets and Statements
1-4 Conditional Statements and Converses
1-5 Negations
1-6 Complements
1-7 Evaluating Compound Statements; Truth Tables
1-8 Patterns of Inference
2-1 Axioms of Fields
2-2 Proving Theorems
2-3 Indirect Proof
2-4 Axioms of Order
2-5 Absolute Value
2-6 Subsets of R
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