The fourth volume of this proceedings contains full research articles. Papers include: (1) "Conceptual and procedural approaches to problem-solving" (Y. Mohammad-Yusof and D. Tall); (2)"Teaching differential equations to chemistry and biology students: An overview on methodology of qualitative research. A case study" (M. Moreno and C. Azcarate);…

There is a popular view that arithmetic is only a collection of dull algorithms containing no interesting ideas. However, if one goes a little below the surface, it will become apparent that there are many fascinating ideas waiting to be discovered. The paper tries to show that mathematical ideas can be recognized and understood without the use of…

The classroom practices of 20 teachers were studied during the field test of course 1 of Contemporary Mathematics in Context (CPMP), the high school mathematics curriculum developed by the Core-Plus Mathematics Project. In each year of the CPMP curriculum, mathematics is developed along the interwoven strands of algebra and functions, geometry and…

This report presents the results of a June 1996 conference held in Washington, DC to discuss the condition of science, mathematics, engineering and technology education (SMET). The meeting was conducted by the American Association of Community Colleges through a grant from the National Science Foundation. The goals of the meeting were to: (1)…

This document consists of a sample curriculum model for Kindergarten mathematics based on the 1998 Arkansas State Mathematics Framework. The model is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra,…

This document consists of a sample curriculum model for grade 1 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

This document consists of a sample curriculum model for grade 2 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

This document consists of a sample curriculum model for grade 3 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

This document consists of a sample curriculum model for grade 4 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

This document consists of a sample curriculum model for grade 5 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

This document consists of a sample curriculum model for grade 6 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

Noting that children's early mathematics experience is a significant factor in their future mathematics outcomes and attitudes, this paper discusses the importance of developmentally appropriate practices in mathematics instruction for young children and explores how teachers' pedagogical content knowledge determines their teaching practices in…

This stand-alone workshop session explores the connections between home and school mathematics learning through the lens of equity. It is appropriate for use with teachers, staff developers, after-school program providers, and other educators who work with parents. All three session activities can be done, or the leader can opt to keep the session…

This booklet summarizes the mathematics chapter from "Handbook of Research on Improving Student Achievement", published by the Educational Research Service (ERS). The Handbook is based on the idea that, in order to succeed, efforts to improve instruction must focus on the existing knowledge base with respect to effective teaching and learning. The…

This paper presents an inquiry into teaching and learning practices in a Year 11 mathematics class at a private college for girls in Western Australia, studying a topic on vectors. The focus is on learning through problem-solving, where students used graphics calculators as a matter of routine. Constructivist and sociocultural theories were…