This research focused on students' learning of mathematical rules with reasoning. A small group of students (age 11-12 yrs) was observed closely by the first author as she taught them fraction rules. The area of focus was fractions and activities were designed pertaining to the four rules of fractions: addition, subtraction, multiplication, and…

This brief report compares the lessons on addition and subtraction of signed whole numbers in three seventh-grade Japanese mathematics texts and four U.S. mathematics texts. Japanese books contained many more worked-out examples and relevant illustrations, while U.S. books had more irrelevant illustrations and unsolved problems. (SLD)

A program for teaching "number sense" is suggested based on experiences in teaching numeracy to Papua New Guinean adults. Number sense starts out with some sort of "feel" about the size of a number and extends upwards to include any such mental arithmetical skills as can reasonably be incorporated in an appropriate program.…

Two training procedures were constructed to teach children with learning deficiencies to solve simple addition and subtraction word problems. Each training procedure was evaluated in a separate multiple baseline design across subjects. The experiments were designed to prepare for the development of computer assisted training programs. Two female…

The cutoff method was used on longitudinal data in more than one content domain in a study attempting to determine whether the effects of schooling are general or limited. Conservation of number, an informally acquired skill, and mental addition, a formally acquired skill, were evaluated among older kindergarten children, younger 1st-grade…

Thirty-six Korean first graders were interviewed to study their ability solving addition problems with sums of 10, single-digit sums between 10 and 18, and subtraction problems with minuends between 10 and 18. Finger methods to show sums over 10 and the regular named-10 Korean number words supported their learning of 3 efficient recomposition…

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 paper reports the results from one of a series of related, collaborative studies carried out in Sandy Bay, Tasmania, Australia, in 1979 and 1980, examining how young children acquire the skills to represent and solve addition and subtraction problems. The purpose of this study was to relate children's cognitive processing capabilities and…

Data are reported for the classroom observational portion of a cross-sectional study conducted in Tasmania, Australia to examine the acquisition and development of addition and subtraction skills in young children. During the study, a group of students in grades l, 2, and 3 who differed in cognitive processing skills were observed during…

Presents anecdotes, discussion, and definitions of the terms natural, conflicting, and alien as they relate to the teaching and learning of mathematics. (MKR)

Considered transfer of students' (n=100) mathematical understanding across different task contexts in an integrated process-content approach using open-ended activities and a typical English content-based approach. The integrated approach facilitated transfer. (Contains 26 references.) (MKR/Author)

Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)

This publication is a resource for those who teach basic mathematics to adults. It assumes very little knowledge or formal mathematics by teachers, tutors and students and provides background, strategies and rationale for people inexperienced in teaching adult numeracy as well as new ideas for the experienced teacher. The worksheets and activities…