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Castro, Fernando – For the Learning of Mathematics, 2003

The author shares a story of how Luis González, an iron artisan, helped the author build a wooden and iron toy truck. The knowledge required to build the skeleton for the parallelepiped in the construction of the truck is not in the mathematical high school curriculum in Venezuela. Although Luis never received a degree beyond high school,…

Descriptors: Metallurgy, Geometry, Geometric Concepts, Mathematics Skills

Peer reviewed

Sharp, John – For the Learning of Mathematics, 2002

Discusses a number of Theo van Doesburg's paintings concerning arithmetic composition. (KHR)

Descriptors: Art, Geometry, Interdisciplinary Approach, Mathematics Education

Peer reviewed

Sinclair, Nathalie – For the Learning of Mathematics, 2002

Describes episodes from work with a small group of 8th grade students who were working independently on a geometry course. Uses Geometer's Sketchpad for the tasks. Discusses students' reasoning skills and their interpretation of the painting in terms of the mathematical properties and relationships. (KHR)

Descriptors: Art, Computer Uses in Education, Geometric Concepts, Geometry

Peer reviewed

King, Karen D. – For the Learning of Mathematics, 2001

Introduces a metaphor for conceptually-oriented mathematics teachers and discusses possible implications for mathematics teacher preparation and professional development. (MM)

Descriptors: Elementary Secondary Education, Mathematics Education, Mathematics Teachers, Professional Development

Peer reviewed

Walter, Marion – For the Learning of Mathematics, 2001

Discusses the mathematics of Theo van Doesburg's painting, Arithmetic Composition 1. Investigates ratios and symmetries as well as relationships among geometrical forms in the painting. (MM)

Descriptors: Art Expression, Elementary Secondary Education, Geometry, Mathematics Instruction

Peer reviewed

Skovsmose, Ole – For the Learning of Mathematics, 2000

Critical mathematics education cannot be translated into principles. Aims to search for a working philosophy of mathematics for critical mathematics education. Concludes that aporism attempts to consider mathematics in its social, cultural, and political complexities, and to express uncertainties about mathematics' possible role as an educational…

Descriptors: Cultural Influences, Educational Philosophy, Elementary Secondary Education, Mathematics Education

Peer reviewed

Winicki-Landman, Greisy; Leikin, Roza – For the Learning of Mathematics, 2000

Addresses the concept of mathematical definition as well as the definitions of different mathematics concepts. Focuses on the possibility of defining a mathematical concept in several ways based on logical relationships between different mathematical statements related to the concept. The choice of one of these statements as definitional plays a…

Descriptors: Definitions, Geometric Concepts, Learning, Mathematics Education

Peer reviewed

Barnes, Mary – For the Learning of Mathematics, 2000

Investigates magical mathematical moments in order to seek to understand what they are and how they happen, to look for examples, and to reflect on their impact on students' mathematics learning. Describes magical moments as they appear in references in the literature and characterizes those moments. Provides examples from classrooms. (Contains 27…

Descriptors: Elementary Secondary Education, Learning, Mathematics Instruction, Teaching Methods

Peer reviewed

Tzanakis, Constantinos; Thomaidis, Yannis – For the Learning of Mathematics, 2000

Describes the different types of reasoning in scientific research activity. Outlines three different but complementary ways to integrate history into the presentation of science. Considers and illustrates the close historical relationship between mathematics and physics. (Contains 50 references.) (ASK)

Descriptors: Abstract Reasoning, Elementary Secondary Education, History, Interdisciplinary Approach

Peer reviewed

Leikin, Roza; Winicki-Landman, Greisy – For the Learning of Mathematics, 2000

Addresses the definitions of several mathematical concepts and the relationships between them based on a theoretical framework presented in the first part. Presents two examples of mathematical activities on equivalent and non-equivalent definitions constructed in the context of professional development workshops for mathematics teachers.…

Descriptors: Definitions, Mathematical Concepts, Mathematics Activities, Mathematics Education

Peer reviewed

Bissell, Chris; Dillon, Chris – For the Learning of Mathematics, 2000

Explores some of the issues behind mathematical modeling for technology with reference to undergraduate teaching and professional practice. Discusses theory and practice in mathematical modeling and its place and uses of modeling in engineering. (ASK)

Descriptors: Engineering Education, Higher Education, Mathematical Models, Mathematics Education

Peer reviewed

Featherstone, Helen – For the Learning of Mathematics, 2000

Discusses the role of play in the learning of mathematics. Describes a play for the third grade mathematics classroom that focuses on negative numbers and number concepts, and revisits Vygotsky from this point of view. Concludes that mathematically imaginative play can contribute greatly to mathematics learning in elementary school. (Contains 20…

Descriptors: Educational Games, Elementary Education, Learning Theories, Mathematics Education

Peer reviewed

Chazan, Daniel; Ball, Deborah – For the Learning of Mathematics, 1999

Conceptualizes some aspects of the teacher's role in discussion-intensive teaching in mathematics classrooms. Contributes tools for the construction, discussion, and analysis of teaching practices. Examines teacher moves aimed at moderating the level and nature of disequilibrium and disagreement. Contains 11 references. (ASK)

Descriptors: Discussion (Teaching Technique), Elementary Secondary Education, Mathematics Instruction, Teacher Role

Peer reviewed

Appelbaum, Peter – For the Learning of Mathematics, 1999

In an era of calls for education that achieves mathematical power for all students, it is crucial to examine the role of the senses and the use of perception in mathematics education. Discusses the roles of stench, cacophony, technology, and mediating processes in the mathematics classrooms. Contains 34 references. (ASK)

Descriptors: Elementary Secondary Education, Mathematics Instruction, Meditation, Perception

Peer reviewed

Rowland, Tim – For the Learning of Mathematics, 1999

When pronouns are deployed conventionally, the act of reference is normally successful, the referent being clear and unambiguous. This is rarely the case in teacher/pupil talk about mathematics when the referents of some personal pronouns may be intangible groups of entities. Provides examples of uses of "we" and "you" in the classroom. Contains…

Descriptors: Discourse Modes, Elementary Secondary Education, Mathematics Instruction, Pronouns