TABLE 2.
Correlations of the place value measures and the hypothesized latent variables at kindergarten and first grade
Kindergarten |
First grade |
|||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Approximate |
Syntactic |
Approximate |
Syntactic |
|||||||||||||
Variable | Approximate | MC | NLE | TC | Syntactic | B-10 | WN? | EN | Approximate | MC | NLE | TC | Syntactic | B-10 | WN? | EN |
Kindergarten | ||||||||||||||||
Approximate | .81 | .79 | .80 | .60 | .63 | .35 | .42 | .66 | .54 | .52 | .60 | .58 | .52 | .45 | .43 | |
MC | .81 | .45 | .49 | .42 | .44 | .23 | .30 | .48 | .43 | .37 | .41 | .41 | .38 | .34 | .26 | |
NLE | .81 | .46 | .44 | .47 | .47 | .30 | .32 | .56 | .44 | .50 | .46 | .52 | .45 | .41 | .39 | |
TC | .83 | .53 | .51 | .56 | .61 | .31 | .39 | .54 | .42 | .37 | .56 | .47 | .42 | .33 | .39 | |
Syntactic | .66 | .46 | .50 | .65 | .79 | .71 | .81 | .49 | .39 | .36 | .47 | .54 | .47 | .40 | .43 | |
B-10 | .68 | .48 | .51 | .69 | .83 | .31 | .54 | .44 | .33 | .33 | .46 | .49 | .50 | .36 | .33 | |
WN? | .42 | .29 | .34 | .41 | .75 | .41 | .32 | .33 | .27 | .26 | .29 | .34 | .23 | .27 | .32 | |
EN | .48 | .33 | .36 | .48 | .82 | .58 | .39 | .36 | .31 | .24 | .35 | .41 | .37 | .28 | .34 | |
First grade | ||||||||||||||||
Approximate | .71 | .50 | .60 | .62 | .58 | .55 | .41 | .43 | .86 | .81 | .82 | .74 | .66 | .55 | .58 | |
MC | .59 | .45 | .48 | .49 | .47 | .41 | .34 | .37 | .87 | .56 | .59 | .62 | .52 | .49 | .48 | |
NLE | .58 | .40 | .54 | .47 | .46 | .44 | .35 | .32 | .84 | .61 | .47 | .52 | .51 | .34 | .41 | |
TC | .66 | .44 | .52 | .63 | .56 | .55 | .37 | .41 | .86 | .64 | .56 | .71 | .62 | .53 | .57 | |
Syntactic | .64 | .44 | .55 | .57 | .63 | .59 | .43 | .47 | .79 | .67 | .62 | .76 | .83 | .78 | .82 | |
B-10 | .59 | .42 | .49 | .52 | .57 | .59 | .34 | .44 | .73 | .59 | .60 | .69 | .86 | .47 | .54 | |
WN? | .53 | .38 | .45 | .45 | .50 | .48 | .36 | .36 | .63 | .55 | .46 | .61 | .82 | .56 | .42 | |
EN | .50 | .30 | .43 | .47 | .51 | .43 | .39 | .40 | .65 | .54 | .50 | .63 | .84 | .60 | .51 |
Note: Bivariate correlations are presented below the diagonal and partial correlations (controlling for Matrix Reasoning) are presented above the diagonal. Syntactic = composite of B-10, WN?, and EN tasks. Approximate = composite of MC, NLE, and TC tasks.
Abbreviations: B-10, base-10 counting task; EN, expanded notation; MC, magnitude comparison; NLE, number line estimation; TC, transcoding; WN?, Which number has __?
All correlations were significant at p < .05.