Cognitive Foundations for Improving Mathematical Learning

1. Introduction: Cognitive Foundations of Mathematics Interventions and Early Numeracy InfluencesDavid C. Geary, Daniel B. Berch, and Kathleen Mann Koepke2. The Effects of SES, Grade-Repeating, and IQ in a Game-Based Approximate Math InterventionJosh Langfus, Alejandro Maiche, Dinorah De León, Dahiana Fitipalde, Álvaro Mailhos, and Justin Halberda3. Role of Play and Games in Building Children's Foundational Numerical KnowledgeGeetha B. Ramani, Emily N. Daubert, and Nicole R. Scalise4. Understanding the Link between the Approximate Number System and Math AbilitiesMelissa E. Libertus5. Mathematical Development in Early Home EnvironmentSusan C. Levine, Dominic J. Gibson, and Talia Berkowitz6. From Cognition to Curriculum to ScaleJulie Sarama and Douglas H. Clement7. Development of Mathematical Language in Preschool and its Role in Learning Numeracy SkillsDavid J. purpura, Amy R. Napoli, and Yemimah King8. Early Numeracy Skills Learning and Learning Difficulties-Evidence-based Assessment and InterventionsPirjo Aunio9. Improving the Mathematical Knowledge of At-Risk Preschool Children: Two Approaches to Intensifying Early Math InterventionAlice Klein, Prentice Starkey, and Lydia DeFlorio10. The Use of Analogies in Mathematics Instruction: Affordances and ChallengesXenia Vamvakoussi11. The Role of Visual Representations in Mathematical Word ProblemsAsha K. Jitendra and John Woodward12. The Role of Cognitive Processes in Treating Mathematics Learning DifficultiesLynn S. Fuchs, Douglas Fuchs, Amelia S. Malone, Pamela M. Seethaler, and Caitlin Craddock13. Explanations and Implications of Diminishing Intervention Impacts Across TimeDrew Bailey