This conference proceedings contains 135 research reports, 73 short oral reports, 30 poster session reports, 4 plenary addresses, 3 research forums, 6 project groups, and 5 discussion group reports. Only the research reports, research forums, and plenary addresses are full reports; the others are generally one-page abstracts. The first volume…

Within recent years there has been an extensive discussion of the relation of secondary to higher education and of the high school to the college. With an increase in the number of high schools and high-school students, and with the awakened desire for a greater economy in education and more definite standards, this relation has become still more…

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

Presents activities for the K-2, 3-4, 5-6, and 7-8 levels focusing on the role of numbers and language in real-world situation. Students are asked to discuss, describe, read, and write about numbers they find in toy shops, the post office, in sports, and at airports. Provides appropriate worksheets. (MDH)

Describes a program in second-grade Dutch mathematics classes that emphasizes mental addition and subtraction of two-digit numbers up to 100. Deals with a strategy of counting by 10s from any number. (Contains 56 references.) (RLB)

This article explains how to teach long division using hands-on materials (skittles, base ten blocks, colored counters, numeral cards) and investigates reviewing division word problems with middle school students (N=27) with learning disabilities in mathematics by this approach compared to spending the same amount of time on the typical practices…

To develop their logico-mathematical foundation of number as described by Piaget (1947/1950, 1967/1971, 1971/1974), 26 low-performing, low-SES first graders were given physical-knowledge activities (e.g., Pick-Up Sticks and "bowling") during the math hour instead of math instruction. During the second half of the school year, when they showed…

The National Council of Teachers of Mathematics (NCTM) has articulated goals in the pursuit of mathematics literacy that include learning to value mathematics, becoming confident in one's mathematics abilities, becoming a mathematical problem solver, learning to communicate mathematically, and learning to reason mathematically. Literature that…

This booklet describes information for teachers based on the findings of the third Assessment of Achievement Programme (AAP), a major research program funded by the Scottish Office Education Department. The AAP contained written tasks used with (n=7,648) pupils at three levels: primary 4 (P4), primary 7 (P7), and secondary 2 (S2). This booklet is…

A collection of articles from the journals "Arithmetic Teacher" and "Teaching Children Mathematics" provide ideas for the instruction and use of teacher-made instructional aids. Guidelines used to select articles for this collection called for the articles to have a clear purpose and be related to a contemporary topic in the elementary school…

This publication compiles a series of 18 articles originally published in 1989-91 in the Arithmetic Teacher on implementing the National Council of Teachers of Mathematics (NCTM) K-8 curriculum standards. The articles and references in the bibliography are organized into five groupings: (1) "Themes That Cut Across Mathematics," covering…

Although many common problem-solving errors within the realm of school mathematics have been previously identified, a compilation of such errors is not readily available within learning disabilities textbooks, mathematics education texts, or teacher's manuals for school mathematics texts. Using data on error frequencies drawn from both the Fourth…

This report summarizes a project to develop computational estimation materials for students in grades 6, 7, and 8. In chapter 1, the need for estimation skills is discussed and the goals of the project are stated: to develop a carefully sequenced set of lessons, activities, and maintenance work on estimation with whole numbers, fractions,…

The construct underlying simple paper-and-pencil logical operations tasks administered to young children in group settings was examined. The logical operations, number concepts, and visual discrimination subtests of the Early School Assessment (ESA) were administered as part of the Fall 1987 national tryout of the ESA. The mathematics concepts and…