Thursday, July 19, 2012

Math problems of the week: 4th grade Investigations vs. Singapore Math

I. The first multiplcation homework assignment in the 4th grade TERC/Investigations Student Activity Book, pp. 21-22:

II. The first multiplication problem set in the 4th grade Singapore Math Primary Mathematics 4A Workbook, p. 51:
III. Extra Credit
At this rate, which cohort is more likely to be ready for algebra (real algebra) in middle school?


LynnG said...

I wish there were some universally agreed upon definition of "real" algebra. For example, I was surprised to learn that the Algebra 1 course offered in my kids public school never gets to polynomials, factoring of polynomials, or the quadratic equation. Yet we are a considered to be a high performing school district.

Barry Garelick said...

There may not be a universally agreed upon definition of "real" algebra, but the NMP report does provide what they believe should be in a first course of "authentic" algebra.

I remember when the report came out. I was taking the math teaching methods course in ed school and my teacher (advisor) started to pontificate about the report which she obviously disagreed with. "Authentic algebra?" she sniffed. "Is there an 'inauthentic algebra' "?

I was going to answer that yes, there is, but I had a quote of one outburst per class, and I was already up to my limit.

kcab said...

In case anyone wants a link to the final report Barry references (at least, I think it's the same report), it is at this link (Final Report of the National Mathematics Advisory Panel).

Barry Garelick said...

Kcab, Yes that is indeed the report. Thanks for including the link. The Panel in fact listed their recommendations forthe major topics of school algebra in Table 1 on page 16 of the report.