Performance of high-scoring males and females on the mathematics section of three forms of the College Board's Scholastic Aptitude Test (SAT-M) was examined to determine how item content, solution strategy, and speededness differentially affect performance. The mathematical and verbal sections of the SAT were also compared for similarities in the…

Proposes the method of student-generated story problems to supplement textbook problems, generate student interest, and bring real-life situations into the mathematics classroom. Gives steps to initiate the method that incorporates small groups and peer teaching to develop problem-solving and problem-posing abilities. (MDH)

Presents the results of a survey of 165 seventh grade students asked to respond yes, no, or maybe to 21 metacognitive statements about their cognitive activity on a mathematical word problem. Suggests how to use the responses as a basis for developing classroom activities. (MDH)

A longitudinal study followed Brian from grade five through grade seven to examine his representation and development of mathematical knowledge. Some observations over the four years were that Brian liked to figure things out, responded poorly to suggestions not fitting the representation he constructed, and changed attitudes from purposeful and…

Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)

Many students view equations as a series of variables and operators into which numbers should be plugged rather than as representative of a physical process. To solve a problem they may simply look for an equation with the correct variables and assume it meets their needs, rather than selecting an equation that represents the appropriate physical…

This article provides an overview to a collaborative knowledge building project using iPod Touches in elementary and secondary language arts and mathematics classrooms, working with 4 teachers and over 80 students. The interactive technologies for embodied Learning in Reading and Mathematics (iteL*RM) project intends to facilitate student…

How does the type of learning material impact what is learned? The current research investigates the nature of students' learning of math concepts when using manipulatives (Uttal, Scudder, & DeLoache, 1997). We examined how the type of manipulative (concrete, abstract, none) and problem-solving prompt (metacognitive or problem-focused) affect…

The effectiveness of a pentop computer when teaching multiplication facts to three middle school students with mild intellectual disabilities was examined. A multiple probe design was used to assess the students learning of one and two digit multiplication facts over a 2-3 week intervention period. During the intervention phase, students used a…

This book explores teaching techniques and adaptations that have proven effective in teaching mathematics concepts and skills to students with learning disabilities, with a focus on reasoning methods rather than algorithmic calculation. Emphasis is placed on topics that potentially can or commonly do cause the most difficulty for students with…

This document contains the lesson plans for a 12-week course in basic workplace pre-algebra that was developed for clothing and textile workers through the joint effort of Northeastern Illinois University's Chicago Teachers' Center and the Amalgamated Clothing and Textile Workers Union. A chart for recording students' mastery of 25 course…

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

The concept of Arithmetic Story Grammar is introduced. Arithmetic Story Grammar maintains that any equation containing a single operand tells, in and of itself, a complete story with a setting, plot, theme, and resolution. Multiple-operand equations differ from their single-operand siblings only in the number of actions undertaken and the number…

This Australian document is a guide to teaching mathematics as it relates to specific work situations. After a brief introduction, chapter 1 looks at problem solving, advises teachers to lower the reading level and thus raise the understandability of written math problems, and describes a four-step problem-solving process. Chapter 2 outlines a…