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Castro, Fernando – For the Learning of Mathematics, 2003
The author shares a story of how Luis Gonz├ílez, 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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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