Two and Two Make Zero: THE COUNTING NUMBERS, THEIR CONCEPTUALIZATION, SYMBOLIZATION, AND ACQUISITION

Two and Two Make Zero seeks to decrypt children’s acquisition of numerical concepts by considering this subject from a variety of perspectives, namely, numbers’ mathematical and conceptual properties, methods of number application in the physical world, the mental processes involved in number perception and cognition, the function, logic, and history of number symbolization, number origin, and children’s cognitive development.

Researched and written from a teacher’s viewpoint, this work aims ultimately to improve elementary mathematics instruction by creating a better understanding of these irreducibly simple, but often misunderstood, concepts.