Mathematics in action / Anderson Norton and Martha W. Alibali
PART I. Natural numbers and operations on natural numbers. Subitizing: the neglected quantifier / Douglas H. Clements, Julie Sarama, and Beth L. McDonald
Discerning a progression in conceptions of magnitude during children’s construction of number / Catherine Ulrich and Anderson Norton
Spontaneous mathematical focusing tendencies in mathematical development and education / Jake McMullen, Jenny Yun-Chen Chan, Michèle M. M. Mazzocco, and Minna M. Hannula-Sormunen
Leveraging relational learning mechanisms to improve place value instruction / Kelly S. Mix, Linda B. Smith, and Sandra Crespo
The complexity of basic number processing: a commentary from a neurocognitive perspective / Bert De Smedt
PART II. Fractions and operations on fractions. Understanding fractions: integrating results from mathematics education, cognitive psychology, and neuroscience / Andreas Obersteiner, Thomas Dresler, Silke M. Bieck, and Korbinian Moeller
Developing fractions as multiplicative relations: a model of cognitive reorganization / Ron Tzur
Developing a concept of multiplication of fractions: building on constructivist and sociocultural theory / Martin A. Simon
What's perception got to do with it? Re-framing foundations for rational number concepts / Percival G. Matthews and Ryan Ziols
Commentary on fractions / Sybilla Beckmann
PART III. Integers and operations on intergers. Understanding negative numbers / Laura Bofferding
Integers as directed quantities / Nicole M. Wessman-Enzinger
Cognitive science foundations of integer understanding and instruction / Sashank Varma, Kristen P. Blair, and Daniel L. Schwartz
Commentary on negative numbers: aspects of epistemology, cognition, and instruction / Guershon Harel
Synergizing research on constructing number: themes and prospects / Martha W. Alibali and Anderson Norton.
