This paper discusses a research study that focused on middle grades students' abilities to read and to move between different graphical representations before and after instruction. The data analyzed were collected from a group of 76 sixth grade students who were in 3 different mathematics classes in a middle school located in central North…

Examines the line graphing ability of middle/high school students (N=625) to provide baseline data on the mastery of line graphing subskills. Results show that seventh- and eighth-grade students were less successful in graphing than high school students, suggesting that graphing skills should be introduced and emphasized in earlier grades. (JN)

Describes a learning strategy which asks students to write questions that can be answered from the information posted on a graph that they created. (MG)

Instructional time to high proficiency or response time to high proficiency performance can be viewed as linearly related to the effective complexity of the task/display combination which is the essence of instruction or of performance. This proposition is concretely illustrated for bar graph-using performance of 4th and 6th graders who under most…

The effects of cursory preliminary directions on the use of numerical tables, bar graphs, and line graphs by 288 fourth and sixth graders were investigated. Participants received no directions, written directions only, or written directions with assistance where necessary. The undirected table and bar graph users performed moderately well. Their…

Describes a one-week lesson in which gummy-bears candy was used to illustrate sampling procedures and to generate discussion and questions. Reports data results and students' reactions to problems of representation after holding an election. (MKR)

Describes a mathematical investigation for fifth-grade students that incorporates a social studies unit on the United States. Provides a method of using mathematics by applying it to other content areas. (ASK)

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

Uses question-and-answer relationships (QARs) to help students identify the purposes of various multiple-choice questions. Shares how the authors taught fifth-grade students to use the QAR framework as they attacked charts, tables, figures, and other graphics. Details the sequence of their instruction and describes the success that they had using…

Describes activities designed to encourage students to analyze and interpret graphs. Activities include using software to draw clear bottles, fill them gradually, measure and record the water height, then graph the volume and height relationship; graphing cause and effect relationships between gender, height, and shoe size; and graphing…

Many teachers bring caterpillars into their class for their students to see the transformation from caterpillar to butterfly. This is exciting and educational, but more can be done using Monarchs across the curriculum. This article describes an integrated butterfly unit for students in grades four to six that starts with identifying the Monarch…

One skill that elementary students need to acquire is the ability to analyze spatially distributed data. In this activity students are asked to complete the following tasks: (1) plot a set of data (related to "mud-sharks"--an imaginary fish) on a map of the state of Alabama, (2) identify trends in the data, (3) make graphs using the data…

Designed as an overview of the progress of middle schools in the last two decades, this document compares results from a 1968 survey that sampled 10 percent of middle schools with at least three, and not more than five grades, and including grades 6 and 7, with those of a similar 1988 survey. Following a brief summary of the origins of the middle…