This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include place value, number lines, basic facts and computation, computation and calculator practice, puzzles for tricky thinkers, and geometry. Ten classroom games and activities are found in the place value and number line sections, 27…

This comprehensive book focuses on children who are failing to learn mathematics following typical classroom programs using routine instruction and materials. Studies show that even children with disabilities who have been mainstreamed into regular classrooms can be successful students provided their teachers are sensitive to subtle variations in…

This document is a collection of activity-based mathematics lessons for grades K-4 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…

In this study, children (ages 7-12) of average intelligence who had learning disabilities (LD) (n=29) and typical children (n=30) were individually tested in a task that investigated the development of proportional structures of thought. In addition, mathematical knowledge was assessed on the Woodcock-Johnson Tests of Achievement-Revised (WJTA-R).…

Geometry students were randomly assigned to treatments in which they received (1) instruction in general problem solving procedures in addition to geometry or (2) regular geometry instruction. No significant differences attributable to treatments were found on a subsequent problem solving test. (SD)

After arguing that secondary students are often inept at solving word problems, and that this may be caused by their disinterest in the problems typically presented, the author presents eleven problems she considers to be more relevant to student interests. (SD)

A course in applied statistics for social science students provides for students designing experiments at an interactive terminal. (SD)

A prime concern of problem-solving instruction is to maximize positive transfer of learning from a previously solved problem to a new problem. One aspect of the relationship between transfer of learning and problem-solving instruction is the order of problem presentation. In this study, order of problem presentation is controlled, while certain…

This booklet resulted from a 1980 visit by the author, a Hungarian mathematics educator, to the Teachers' Center Project at Southern Illinois University at Edwardsville. Included are activities and problems that make probablility concepts accessible to young children. The topics considered are: two probability games; choosing two beads; matching…

This study investigated the problem representations formed by college students while solving mathematics problems. Problem representation characteristics indicative of understanding were identified by analyzing audio-tapes and written work of sixteen subjects, ages 16 to 24, who solved mathematics problems using the think-aloud technique. These…

Five methods are given for computing the area of a regular octahedron. It is suggested that students first construct an octahedron as this will aid in space visualization. Six further extensions are left for the reader to try. (LS)

The application of physical principles in solving mathematics problems have often been neglected in the teaching of physics or mathematics, especially at the secondary school level. This paper discusses how to apply the mechanical principles to geometry problems via concrete examples, which aims at providing insight and inspirations to physics or…

In a mathematics course for preservice mathematics teachers, students were assigned non-routine problems on material previously studied to help develop intuition and critical thinking. Problems were returned with extensive comments, and had to be reconsidered until solved. (SD)

The teaching of non-numerical flow charting to all pupils is advocated as a means of preparing students for decision making. Several sample problems are provided. (SD)

This research project was initiated to examine the vocabulary load contained in word problems appearing in basal mathematics textbooks through a study of word frequency. Five leading basal mathematics series were used. Every word, phrase or sentence that resulted in computation was included. A total of 476,674 words were identified. Information…