Introduces a technique for developing tasks suitable for group investigation where students work from sets of numerical examples toward making generalizations. (ASK)

Extends a counting activity described in the April 1997 issue of "The Mathematics Teacher" entitled, "The Pyramid Question: A Problem Solving Adventure." In this activity, students must find all triangles with positive integral sides and a perimeter of 36. Considers triangles with perimeters other than 36 for this activity and…

Explores some of the principles of and presents several constructions in hyperbolic geometry using script tools created for the Geometer's Sketchpad. (ASK)

Examines geometry language used in K-6 textbooks and compares the findings to language used in modern mathematics standards documents. Finds a substantial misalignment between the geometry presented in textbooks, the geometry teaching expectations of mathematics education professionals, and the geometry being assessed in student performance…

Explains how a curriculum is integrated across subject areas with strands of career awareness. Focuses on a course known as Connections, a combination physical science, geometry, and English course that shows students how course content relates to possible careers. (DDR)

Presents an activity in which students are asked to plan a garden then gather and analyze data on plant height versus available space. Provides historical information on gardening. (ASK)

Focuses on learning difficulties in procedural knowledge, and assesses the procedural difficulties of grade 12 and first- and third-year university students based on common sense reasoning in two areas of chemistry--chemical equilibrium and geometry, and polarity of molecules. (Contains 55 references.) (Author/YDS)

Draws on the new field of mathematical study called fractal geometry. Illustrates the pervasiveness and constraining tendencies of classical geometries. Suggests that fractal geometry is a mathematical analogue to fields such as post-modernism, post-structuralism, and ecological theory. Examines how fractal geometry can complement other emergent…

Presents a study in which children in four grade 2 classrooms learned about transformational geometry and symmetry by designing quilts, while their four teachers participated in professional development focused on understanding children's thinking in arithmetic, and two of the teachers participated in additional workshops on students' thinking…

The expertise reversal effect occurs when a learning procedure that is effective for novices becomes ineffective for more knowledgeable learners. The authors consider how to match instructional presentations to levels of learner knowledge. Experiments 1-2 were designed to develop a schema-based rapid method of measuring learners' knowledge in a…

As part of a discussion of cognition-based assessment (CBA) for elementary school mathematics, I describe assessment tasks for area and volume measurement and a research-based conceptual framework for interpreting students' reasoning on these tasks. At the core of this conceptual framework is the notion of levels of sophistication. I provide…

The purpose of this study was twofold. First, it aimed to determine whether the teachers' choice of motivation style influenced their mathematics teaching. Second, it investigated the influence of teachers' choice of motivation style on their willingness and ability to implement reform-based mathematics curriculum and instruction. Eight high…

"The Simpsons" is an ideal source of fun ways to introduce important mathematical concepts, motivate students, and reduce math anxiety. We discuss examples from "The Simpsons" related to calculus, geometry, and number theory that we have incorporated into the classroom. We explore student reactions and educational benefits and difficulties…

In this paper, I review both mathematics education and CSCL literature and discuss how we can better take advantage of CSCL tools for developing mathematical proof skills. I introduce a model of proof in school mathematics that incorporates both empirical and deductive ways of knowing. I argue that two major forces have given rise to this…

This program guide presents civil engineering technology curriculum for technical institutes in Georgia. The general information section contains the following: purpose and objectives; program description, including admissions, typical job titles, and accreditation and certification; and curriculum model, including standard curriculum sequence and…