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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

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

Peer reviewed

Stevenson, Ian – For the Learning of Mathematics, 1999

Reflects on some aspects of learning mathematics that emerged along the way in creating a turtle-based exploratory tool for non-Euclidean geometry. Contains 14 references. (ASK)

Descriptors: College Mathematics, Computer Uses in Education, Geometric Concepts, Higher Education

Peer reviewed

Van Maanen, Jan – For the Learning of Mathematics, 1997

Argues that traditional instructional methods can benefit teachers interested in reflecting on their teaching practices. Presents four stories by a mathematics teacher, three examples of the application of history to mathematics lessons at the secondary level, and one example from a history course for mathematics teachers. (DDR)

Descriptors: Active Learning, Educational Change, Educational Innovation, Educational Strategies

Peer reviewed

Alro, Helle; Skovsmose, Ole – For the Learning of Mathematics, 1996

Provides examples and a discussion of the Inquiry Cooperation Model (ICM). The ICM is a way of describing a pattern of communicative cooperation between teacher and students. It tries to develop students' preconceptions into mathematical competence. Contains 15 references. (DDR)

Descriptors: Communicative Competence (Languages), Concept Formation, Constructivism (Learning), Discourse Analysis

Peer reviewed

Katz, Victor J. – For the Learning of Mathematics, 1997

Speculates on whether our knowledge of a mathematical topic is really the same as the knowledge of the topic held by our mathematical ancestors centuries ago. Provides specific examples of using the cultural context of mathematics as an instructional strategy. (DDR)

Descriptors: Case Studies, Educational History, Educational Strategies, Interdisciplinary Approach

Peer reviewed

Boote, David – For the Learning of Mathematics, 1998

Considers the role of word problems in physics education and proposes that word problems serve as exemplars of prototype categories that play a key role in enculturating students into the community of the physics literate. Contains 25 references. (ASK)

Descriptors: Acculturation, Elementary Secondary Education, Physics, Science Instruction

Peer reviewed

Rodd, Melissa – For the Learning of Mathematics, 1998

Describes and discusses American philosopher Penelope Maddy's theory which states that mathematics is part of the physical world and parts of it are perceptible. Provides a background to Maddy's realism by discussing other philosophies. Contains 26 references. (ASK)

Descriptors: Elementary Secondary Education, Mathematics Instruction, Philosophy

Peer reviewed

Herbst, Patricio; Kilpatrick, Jeremy – For the Learning of Mathematics, 1999

Discusses Brousseau's work on the theory of didactical situations in mathematics and its applications in mathematics classrooms which do not address the collection of obvious components, but instead discuss phenomena by analyzing knowledge in given situations. Meanings emerge in situations engineered by analyzing a situation and developing an…

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