Table 3.
Direct and Indirect Effects of Nonverbal Reasoning, Language, Attentive Behavior, and Working-Memory Sentences on Pre-Algebraic Knowledge (n=279)
Type of Effect | Effect of
|
|||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Nonverbal Reasoning
|
Language
|
Attentive Behavior
|
Working Memory-Sentences
|
|||||||||||||
path | S.E. | b/S.E. | p | path | S.E. | b/S.E. | p | path | S.E. | b/S.E. | p | path | S.E. | b/S.E. | P | |
Direct | .137 | .044 | 3.13 | .002 | .135 | .061 | 2.21 | .027 | ||||||||
Total Indirect | .097 | .032 | 3.06 | .002 | .116 | .033 | 3.48 | .001 | .218 | .041 | 5.34 | <.001 | .009 | .031 | 0.29 | .771 |
Via G2C | .000 | .002 | 0.11 | .917 | .000 | .003 | 0.10 | .918 | .001 | .010 | 0.11 | .914 | .000 | .003 | 0.11 | .915 |
G2W | .010 | .010 | 1.94 | .051 | .044 | .018 | 2.49 | .013 | .035 | .015 | 2.32 | .021 | .009 | .009 | 1.04 | .299 |
G3C | .044 | .022 | 1.98 | .047 | .001 | .021 | 0.05 | .962 | .096 | .024 | 4.01 | <.001 | −.030 | .020 | −1.52 | .129 |
G3W | .023 | .012 | 1.99 | .047 | .052 | .019 | 2.74 | .006 | .025 | .014 | 1.82 | .067 | .018 | .010 | 1.84 | .065 |
G=grade; C=calculations; W=word problems. Nonverbal reasoning is WASI-Matrix Reasoning. Language is a composite score across Wechsler Abbreviated Scale of Intelligence (WASI)-Vocabulary subtest and Woodcock Diagnostic Reading Battery-Listening Comprehension. Attentive Behavior is SWAN. Working Memory (WM)-Sentences and WM-Numbers, respectively, are Listening Recall and Counting Recall from the Working Memory Test Battery–Children. Phonological Processing is Comprehensive Test of Phonological Processing-Sound Matching. Processing Speed is Woodcock Johnson III Visual Matching. Grade 2 Calculations is Single-Digit Addition. Grace 2 Word Problems is Story Problems. Grade 3 Calculations is a composite score across Single-Digit Addition Double-Digit Addition and Double-Digit Subtraction Tests. Word Problems is the Iowa Test of Basic Skills- Problem Solving and Data Interpretation. Pre-algebraic knowledge is the Pre-Algebraic Knowledge Test.