Presents activities involving the addition of antinumbers (which uses novel numerical characters); a puzzle which combines practice in working with polynomials and solving simple equations with intriguing facts about turkets; and searching for the number of different right triangles in a given square grid (which helps develop spatial…

Fourth-grade students in Title I mathematics took 40-problem tests to determine types of persistent errors made in addition and subtraction. Tests, administered to 117 students (addition) and 104 students (subtraction), were analyzed for basic fact, random, or procedural errors. Findings are reported and discussed, and recommendations for…

Recent research has provided a reasonably coherent picture of how children learn to add and subtract. There is clear evidence that children do not learn simply by mastering a procedure and storing in memory. Instead, learning is structured in meaningful ways, connected to previous knowledge, and adapted to new contexts. This view of learning has…

The document presents the final report of the Initial Learning in Mainstreaming Project, which developed and tested instructional techniques in 14 specific mathematics skill areas with 429 handicapped and normal elementary school students in Grace and Soda Springs, Idaho. Skill areas included addition facts; subtraction facts; carrying…

The effect of a self-instructional (SI) training paradigm on the arithmetic deficits of orthopedically handicapped children and the degree to which training effects generalize to the classroom and to another arithmetic function were studied. The study consisted of two experiments, each conducted with three orthopedically handicapped students with…

Direct instruction techniques were employed in a structured parental involvement program targeted toward improvement of basic arithmetic skills in six students ages 7-8. Among reported results was a statistically significant posttest improvement on an addition placement test compared to a control group performance without parental involvement. (JW)

Reported is a teacher's efforts to introduce mental methods in arithmetic to seven-year-olds over a four-week period. (PK)

Students who can compute mathematical problems in their heads have learned a skill that is important for estimating and for understanding the number system. Practice activities that can help students master mental computation skills are described. (PP)

Discusses ways to incorporate language into the teaching of mathematics and involve students more fully in mathematical processes. Describes classroom teaching practice with and without writing. Lists 11 references. (YP)

This article reviews briefly some of the research related to the development of automaticity for recall of basic math facts, reports on a research project with six fourth- and fifth-grade students, and gives teaching suggestions for the development of automaticity. (PB)

Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Most of the research on mathematical and scientific thinking has been concerned with uncovering knowledge structures and reasoning processes in people of different levels of competence. How these structures and processes are acquired has only recently become a major concern. Thus, some of the major research on mathematical and scientific thinking…

This paper reports the formative evaluation of six curriculum units related to initial number sentence writing. These units were used for a coordinated study carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The units were tried during the 1977-78 and 1978-79 school years at a…

Describes the use of spreadsheets in a third grade class to teach basic mathematical concepts by investigating the existence of vampires. Incorporates addition and multiplication skills, patterning, variables, formulas, exponential growth, and proof by contradiction. (LRW)