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Coles, Alf – For the Learning of Mathematics, 2014

Drawing on the work of Gattegno, it is suggested that a powerful way of teaching mathematics is to introduce symbols as relationships between visible or tangible resources. The symbols are abstract (formal) from the beginning and yet there are concrete resources to support their use. Drawing on data from a research project in primary schools in…

Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Arithmetic

Danielson, Christopher – For the Learning of Mathematics, 2010

This communication supports an argument that preservice elementary teachers ought to study number language as part of their mathematics content courses, just as they study relationships between numeration and quantity. In particular, the paper spells out some ways in which number language can be seen as problematic by carefully detailing various…

Descriptors: Preservice Teachers, Elementary Education, Elementary School Teachers, Mathematics Instruction

Peer reviewed

Bibby, Tamara – For the Learning of Mathematics, 2002

Focuses on elementary school teachers' perceptions of creativity and logic and their places within mathematics education. Explores themes arising from the ways in which creativity and logic were talked about, addressing the extent to which the teachers believed that mathematics was creative or logical and whether these two characteristics were…

Descriptors: Creative Thinking, Elementary Education, Mathematical Logic, Mathematics Instruction

Peer reviewed

Hasegawa, Junichi – For the Learning of Mathematics, 2002

Discusses a class on subtraction or difference-finding, problems such as "There are eight white flowers and five red flowers, how many more white flowers are there than red flowers?" used in the teaching of Japanese first grade children. Describes three instances of introductory teaching of "difference-finding" problems in the…

Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Elementary Education

Peer reviewed

Radford, Luis – For the Learning of Mathematics, 2002

Describes theoretical points concerning the idea of semiotic means of objectification. Analyzes classroom activity by observing the interface between the spoken and the seen. Discusses the role of a category of linguistic terms related to actions of showing or pointing out something that constitute a key element in the mathematical discursive…

Descriptors: Concept Formation, Discourse Analysis, Elementary Education, Foreign Countries

Peer reviewed

Triandafillidis, Triandafillos A. – For the Learning of Mathematics, 2002

Focuses on the legacy of paradigmatics instruction in the Greek mathematics classroom, suggesting that it is based on false understanding of pragmatic logic as simply the translation of ideas into action. Offers discursive analysis of two short interactional sequences between the teacher and children in a 6th grade classroom in a primary school in…

Descriptors: Discourse Analysis, Elementary Education, Foreign Countries, Mathematics Activities

Peer reviewed

Featherstone, Helen; Featherstone, Joseph – For the Learning of Mathematics, 2002

Discusses the life of David Hawkins, one of the most influential educators involved in school reform in the 1960s. Focuses on the aesthetic as the center of Hawkins' vision of schooling. Compares Hawkins' perspective to Dewey's in terms of the aesthetic. (KHR)

Descriptors: Aesthetic Values, Educational Change, Educational Philosophy, Elementary Education

Peer reviewed

Doverberg, Elisabet; Samuelsson, Ingrid Pramling – For the Learning of Mathematics, 2001

Presents a study aimed at exploring (a) developmental pedagogy perspectives in early childhood conceptions of shape in space, and (b) evaluating the teacher's work in terms of what is of benefit to children from being involved in this approach to learning. (MM)

Descriptors: Development, Elementary Education, Geometric Concepts, Learning Processes

Peer reviewed

Pratt, Dave – For the Learning of Mathematics, 1998

Outlines the approach of a study that aimed to observe young children as they constructed meanings for randomness in computer-based setting. Provides a snapshot of two children working with the tools made available in that setting. Uses this picture to begin the formulation of a theoretical framework for the construction of meaning in one…

Descriptors: Computer Uses in Education, Concept Formation, Educational Technology, Elementary Education

Peer reviewed

Boulet, Genevieve – For the Learning of Mathematics, 1998

Presents and criticizes current theories of multiplication in order to pave the way for an alternative foundation for the concept of multiplication. Formulates a uniform concept of multiplication that recognizes anew the importance of the roles of multiplier and multiplicand. (Contains 22 references.) (ASK)

Descriptors: Arithmetic, Elementary Education, Learning Theories, Mathematics Education

Peer reviewed

Tahta, Dick – For the Learning of Mathematics, 1997

Proposes three thought experiments on various contexts of teaching mathematics. The experiments are intended to raise questions about the mathematics curriculum and to engage discussion about what topics should have high priority in arithmetic teaching. (DDR)

Descriptors: Arithmetic, Classroom Observation Techniques, Educational Strategies, Elementary Education

Peer reviewed

Zazkis, Rina – For the Learning of Mathematics, 2000

Reflects on four years of teaching a course called Principle of Major Teachers for pre-service elementary school teachers. Identifies and describes the discord between their formal mathematical knowledge and their informal language used in the context of elementary number theory. Presents encouraging results from a code-switching experiment.…

Descriptors: Elementary Education, Higher Education, Informal Education, Language

Peer reviewed

Anghileri, Julia – For the Learning of Mathematics, 1995

Limitations in children's understanding of the symbols of arithmetic may inhibit choice of appropriate solution procedures. The teacher's role involves negotiation of new meanings for words and symbols to match extensions to solution procedures. (MKR)

Descriptors: Algorithms, Arithmetic, Concept Formation, Division

Peer reviewed

Gardner, J. Helen – For the Learning of Mathematics, 1991

Presents activities that integrate story telling, history, and problem solving as a stimulus for discussion and creativity in the elementary mathematics classroom, and a way to relieve children's anxiety in an escalating curriculum. (MDH)

Descriptors: Elementary Education, Enrichment Activities, History, Integrated Activities

Peer reviewed

Van Den Brink, Jan – For the Learning of Mathematics, 1989

Presents a number of transcript examples of correct and incorrect transferences by children. Considers the objects of transference including spoken words, written symbols, models and diagrams, arithmetic procedures, and structures. Discusses the use of transference in arithmetic education. (YP)

Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics