Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

The relationship between a teacher's knowledge of mathematics and instructional practice was investigated by videotaping an experienced fifth grade teacher giving a lesson on functions and graphing. A subject-matter knowledge interview and card sort task were used with the teacher and a mathematics educator, indicating areas of weakness. (SLD)

Describes the use of interactive videodiscs in middle schools and high schools for science and math instruction. Topics discussed include establishing multimedia workstations; positive student attitudes; combining computer software and videodiscs; decreases in failure rates; positive motivation; pacing for individual needs; and effective time…

Gives suggestions to help students generalize skills so that they can use them in a variety of situations inside and outside of the mathematics classroom. Addresses uses of ratio and proportion but suggestions are also applicable to other mathematical topics. (MLN)

This paper is concerned with pupils' learning of the concept of variable in the LOGO programing environment and how this relates to teaching. Results from three research projects are described and compared in a discussion of how improvements in learning have been influenced by a refinement in teaching method. (Contains 21 references.) (Author/MDH)

Describes two studies that investigated the impact of three features of educational software (aggressive distracters, competition, and underrepresentation of female characters) on girls' attitudes toward software. Results of studies with sixth- and and seventh-grade female mathematics students are discussed based on the Computer Game Attitude…

This study investigated effects of multiple-component behavioral self-management (BSM) interventions on math fluency and engaged time of five fourth-grade students with and without disabilities in general education classrooms. Students increased their math fluency and engaged time, and these continued to improve when the self-management…

Describes "Wyzt's Playground", a fourth grade math multimedia title that emulates and simulates the real-life scenario of building a playground and supports the instruction of mathematics and measures proficiency in five NCTM (National Council of Teachers of Mathematics) standards. Explains the multimedia production process and the…

Excerpts a student-teacher discourse from a 4th-grade mathematics classroom to illustrate how discourse helps students construct algebraic thinking. Discusses the implications of the discourse method of collaborative inquiry for teaching. (JPB)

This document is designed to assist teachers and other school personnel in the planning and teaching of the fourth grade mathematics course. Contents include: (1) Overview of Grade 4 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This study examined factors that teachers say determine whether they modify new information about mathematics, mathematics learning, and mathematics teaching to fit their existing conceptions or whether they restructure their existing conceptions. Three female teachers (two sixth grade and one fifth grade) from a rural, public school participated…

This document presents activities for use by middle school teachers which show how rational numbers and proportions are present in many real-world situations, including the collection and analysis of fractions, ratios, percents, and proportions, as well as rational number connections with geometry and similarity. The activities are divided into…

In recent years, many schools have turned to Integrated Learning Systems (ILSs) to facilitate instruction and assist with raising state standardized test scores. Typically, these ILSs are utilized in a computer lab with students working individually on computer-based instructional lessons for an allotted time period. Using ILSs in this manner has…

The focus in this report is the concept of what it means to "do mathematics" in the context of a group working committee of teachers and researchers committed to reforming mathematics teaching. During a regular meeting of this group of teachers and researchers, the participants explored the mathematical reasoning embedded in one…

This collection of case studies of classroom experiences in middle and secondary schools throughout the European Community describes the use of computers in mathematics education. The 16 studies are organized in four main groups: (1) experience in geometry using educational software and Logo in grades 5-10; (2) arithmetic number concepts,…