Learning and solving algebra word problems
The roles of relational skills, arithmetic, and executive functioning
Bibliographic Data
| ID | 9789264 |
|---|---|
| Authors | Kerry Lee (0000-0002-6410-3688, Education University of Hong Kong, corresponding author), Swee Fong Ng (0000-0002-9404-4770, Nanyang Technological University), Ray Bull (0000-0003-3273-7202, Nanyang Technological University) |
| Year | 2018 |
| Volume | 54 |
| Issue | 9 |
| Pages | 1758-1772 |
| Publication date | 2018-09-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Developmental Psychology (JOURNAL) |
| Journal identifiers | ISSN: 0012-1649 • E-ISSN: 1939-0599 |
| Publisher | American Psychological Association (APA) (PUBLISHER) |
| DOI | 10.1037/dev0000561 |
| PMID | 30148402 |
| OpenAlex | W2888908847 |
| Language | EN |
| Citations received | 6 |
| References cited | 19 |
Although algebra is a prerequisite for higher mathematics, few studies have examined the mathematical and cognitive capabilities that contribute to the development of algebra word problems solving skills. We examined changes in these relations from second to ninth grades. Using a cross-sequential design that spanned 4 years, children from 3 cohorts (Mage = 7.85, 10.05, and 12.32) were administered annual tests of algebra word problems, mathematical skills (mathematical relational tasks, arithmetic word problems), and cognitive capabilities (working memory, updating, inhibitory, task switching, and performance intelligence). The cross-sectional findings showed that ability to solve mathematical relational problems was associated strongly with performance in algebra word problems. Working memory and updating explained variance in the relational, but not the algebra problems. Using an autoregressive cross-lagged model with structured residuals to analyze the longitudinal data, we found relational and arithmetic performance predicted independently algebra performance from one year to the next. The strength of these relations was consistent across grades. These findings point to the importance of developing skills in relational problems as one of the tools for improving algebra performance. (PsycINFO Database Record
Algebra over a field · Arithmetic · Cognition · Cognitive psychology · Executive functions · Information retrieval · PsycINFO · Relational algebra · Relational database · Task (project management · Word problem (mathematics education · Working memory · Cognitive and developmental aspects of mathematical skills · Computer Science · Educational and Psychological Assessments · Mathematics · Mathematics Education and Teaching Techniques · Psychology
A Systematic Review of Mathematical, Motivational, and Socioemotional Propensities Related to Algebraic Thinking
Students’ Errors and Learning Obstacles in Solving Algebraic Word Problems
Unraveling the Relation Between Family Cumulative Risk and Preschool Academic Performance
Identifying Word‐Problem Difficulty
Different cognitive mechanisms used for solving open and closed math problems
Role of executive function in mathematical ability of children in different grades
On the Practical Interpretability of Cross-Lagged Panel Models
Executive Functioning and Mathematics Achievement
Development of cognitive control and executive functions from 4 to 13 years
Empirical and Conceptual Problems With Longitudinal Trait-State Models
Testing the Efficiency and Independence of Attentional Networks
The Interpretation of Interaction in Contingency Tables
Developmental Changes in Executive Functioning
Early Predictors of High School Mathematics Achievement
The separation of between-person and within-person components of individual change over time
A critique of the cross-lagged panel model.
Bayesian PTSD-Trajectory Analysis with Informed Priors Based on a Systematic Literature Search and Expert Elicitation
Learning executive function and early mathematics
Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge
Cognitive predictors of achievement growth in mathematics
The role of cognitive processes, foundational math skill, and calculation accuracy and fluency in word-problem solving versus prealgebraic knowledge
Risky business
The development of executive functions and early mathematics
| Unique citing works | 6 |
|---|---|
| Citations per year | 2 |
| Citation span | 2023 - 2026 (4) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 6 |