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. Author manuscript; available in PMC: 2016 Dec 1.
Published in final edited form as: Dev Psychol. 2016 Oct 27;52(12):2085–2098. doi: 10.1037/dev0000227

Table 4.

Total Effects of Foundational Skills and Processes on Later Higher-Level Math Outcomes (N = 962)

on Later Word-Problem Solving
Skill
on Later Pre-Algebraic
Knowledge
Foundational Skill/Process estimate 95% BCBS CI β estimate 95% BCBS CI β
Calculation skill 0.25 [0.103, 0.401] 0.0
9
0.49 [0.284, 0.703] 0.1
4
Number understanding 0.13 [0.091, 0.169] 0.1
6
0.14 [0.090, 0.193] 0.1
4
Reasoning 0.12 [0.061, 0.182] 0.1
0
0.15 [0.065, 0.238] 0.1
0
Language comprehension 0.16 [0.105, 0.215] 0.1
4 a
0.06 [−0.019, 0.132] 0.0
4 b
Working memory 0.10 [0.023, 0.180] 0.0
7
0.16 [0.053, 0.265] 0.0
8
Attentive behavior 0.08 [0.052, 0.098] 0.1
7
0.11 [0.075, 0.137] 0.1
9
Processing speed 0.11 [0.017, 0.198] 0.0
5
0.25 [0.108, 0.381] 0.1
0

Note. BCBS CI is bias-corrected bootstrap confidence interval; intervals not including 0 signify the effect is significantly different from 0 at α = .05. β is standardized effect. Underlined estimates indicate that effects were tested for equality between the outcomes; different letters within a row within an intermediary skill/outcome indicate significant differences between total effects. Later word-problem solving skill is Iowa Test of Basic Skill-Level 10-Math. Later pre-algebraic knowledge is Test of Pre-Algebraic Knowledge. Calculation skill is Wide Range Achievement Test-Arithmetic. Number understanding is Number Line Estimation (reverse scored). Reasoning is Wechsler Abbreviated Scale of Intelligence-Matrix Reasoning. Language comprehension is Woodcock Diagnostic Reading Battery-Listening Comprehension. Working memory is Working Memory Test Battery for Children-Listening Recall. Attentive behavior is Strengths and Weaknesses of ADHD Symptoms and Normal Behavior Rating Scales. Processing speed is Woodcock-Johnson Tests of Achievement III-Visual Matching.