Cognitive Foundations for Improving Mathematical Learning

<p>1. Introduction: Cognitive Foundations of Mathematics Interventions and Early Numeracy Influences<br>David C. Geary, Daniel B. Berch, and Kathleen Mann Koepke<br>2. The Effects of SES, Grade-Repeating, and IQ in a Game-Based Approximate Math Intervention<br>Josh Langfus, Alejandro Maiche, Dinorah De León, Dahiana Fitipalde, Álvaro Mailhos, and Justin Halberda<br>3. Role of Play and Games in Building Children’s Foundational Numerical Knowledge<br>Geetha B. Ramani, Emily N. Daubert, and Nicole R. Scalise<br>4. Understanding the Link between the Approximate Number System and Math Abilities<br>Melissa E. Libertus<br>5. Mathematical Development in Early Home Environment<br>Susan C. Levine, Dominic J. Gibson, and Talia Berkowitz<br>6. From Cognition to Curriculum to Scale<br>Julie Sarama and Douglas H. Clement<br>7. Development of Mathematical Language in Preschool and its Role in Learning Numeracy Skills<br>David J. purpura, Amy R. Napoli, and Yemimah King<br>8. Early Numeracy Skills Learning and Learning Difficulties—Evidence-based Assessment and Interventions<br>Pirjo Aunio<br>9. Improving the Mathematical Knowledge of At-Risk Preschool Children: Two Approaches to Intensifying Early Math Intervention<br>Alice Klein, Prentice Starkey, and Lydia DeFlorio<br>10. The Use of Analogies in Mathematics Instruction: Affordances and Challenges<br>Xenia Vamvakoussi<br>11. The Role of Visual Representations in Mathematical Word Problems<br>Asha K. Jitendra and John Woodward<br>12. The Role of Cognitive Processes in Treating Mathematics Learning Difficulties<br>Lynn S. Fuchs, Douglas Fuchs, Amelia S. Malone, Pamela M. Seethaler, and Caitlin Craddock<br>13. Explanations and Implications of Diminishing Intervention Impacts Across Time<br>Drew Bailey</p>