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Direct linkWhite, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
Merkley, Rebecca; Shimi, Andria; Scerif, Gaia – ZDM: The International Journal on Mathematics Education, 2016
It is not yet understood how children acquire the meaning of numerical symbols and most existing research has focused on the role of approximate non-symbolic representations of number in this process (see Piazza, ("Trends in Cognitive" 14(12):542-551, 2010). However, numerical symbols necessitate an understanding of both order and…
Descriptors: Mathematics, Mathematics Instruction, Symbols (Mathematics), Number Concepts
Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2015
The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A threeweek long solution process by a pair of ninth-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…
Descriptors: Attention, Grade 9, Attention Control, Educational Theories
Mudaly, Vimolan; Naidoo, Jayaluxmi – Perspectives in Education, 2015
The purpose of this paper is to explore how master mathematics teachers use the concrete-representational-abstract (CRA) sequence of instruction in mathematics classrooms. Data was collected from a convenience sample of six master teachers by observations, video recordings of their teaching, and semi-structured interviews. Data collection also…
Descriptors: Master Teachers, Mathematics Teachers, Mathematics Instruction, Teaching Methods
PDF pending restorationJordon, Thelma; And Others – 1986
The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…
Descriptors: Behavioral Objectives, Calculators, Computer Literacy, Disabilities
