Discusses students' progress through distinct levels in the development of their thinking as described by van Hiele levels. Focuses on the quadrilaterals and suggests some level 3 tasks and construction problems. (ASK)

Presents a sampler of statements from "Principles and Standards for School Mathematics" related to standards, goals, and activities for preschoolers. (Author)

Describes an investigation of polygons and their properties in which students apply very basic understandings of geometric properties. (KHR)

Contributes to the emerging picture of children's development of understanding in geometry and the kinds of teaching that can support it. Describes how teachers can use episode writing to capture student thinking and make instructional decisions. (ASK)

Presents research findings and suggestions on how children learn to categorize shapes. Discusses specific ways to present developmentally appropriate activities designed to enhance children's understanding of basic shapes. Contains 12 references. (ASK)

Describes the habits of mind that would be most desirable for students to develop. In high school for example, content-specific habits would include geometric habits of mind that support the mathematical approaches, and algebraic ways of thinking that complement the geometric approaches. (AIM)

This book introduces journal-writing prompts in mathematics for geometry. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide situations…

Description of the use of Logo for teaching geometry is the first in a two-part series on the development of Logo tools for doing middle school mathematics. The learning process is discussed, and examples of activities integrating Logo with teacher-prepared procedures are presented. (Author/LRW)

Three activities are presented to assess the level of students' geometric understanding according to van Hiele learning model. The activities--Descriptions, Minimum Properties, and Class Inclusion--are applied to the example of classifying quadrilaterals as squares, rectangles, rhombi, or parallelograms. Implications of this assessment are…

During a six-week methods course for preservice elementary school teachers, student pairs were asked to solve a problem and record their experiences in a dairy. Presented are the dairy entries of two students as they worked on determining the number of squares that can be formed on a five-peg geoboard. (MDH)

This guide presents math-focused learning projects and accompanying inquiry activities to help students pass the math portion of the GED 2002. It is Volume 2 of a proposed four-volume series; Volume 1 describing the concept of the GED as project is also available. Section 1 relates GED as project to the math portion of the GED and explains how…