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Jungic, Veselin; Yan, Xiaoheng – For the Learning of Mathematics, 2020
The aim of this article is to advise readers that natural numbers may be introduced as ordinal numbers or cardinal numbers and that there is an ongoing discussion about which come first. In addition, through several examples, the authors demonstrate that in the process of answering the question "How many?" one may, if convenient, use…
Descriptors: Number Concepts, Mathematics Instruction, Cognitive Processes, Numbers
Rumbelow, Michael – For the Learning of Mathematics, 2021
"Where Mathematics Comes From" (Lakoff & Núñez 2000) proposed that mathematical concepts such as arithmetic and counting are constructed cognitively from embodied metaphors of actions on physical objects, and four actions, or 'grounding metaphors' in particular: collecting, stepping, constructing and measuring. This article argues…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Concepts, Figurative Language

Blake, Rich; Verhille, Charles – For the Learning of Mathematics, 1985
This paper on the language of zero (1) deals with the spoken and written symbols used to convey the concepts of zero; (2) considers computational algorithms and the exception behavior of zero which illustrate much language of and about zero; and (3) the historical evolution of the language of zero. (JN)
Descriptors: Computation, Elementary Secondary Education, Mathematics Education, Mathematics History

Steffe, Leslie; And Others – For the Learning of Mathematics, 1981
Pre-experimental interviews conducted with three children to investigate three aspects of the nature of counting are detailed. Sixteen findings related to the counting of perceptual items are summarized. (MP)
Descriptors: Basic Skills, Cognitive Development, Cognitive Processes, Computation

McIntosh, Alistair; And Others – For the Learning of Mathematics, 1992
Proposes a framework that identifies the components of number sense and the attributes of students who possess it. Discusses various aspects of three areas where number sense plays a key role: number concepts, operations with numbers, and applications of number and operation. (MDH)
Descriptors: Cognitive Structures, Computation, Elementary Education, Elementary School Mathematics