This book of supplemental exercises is one of a series of books designed to provide educational materials for students in addition to the instructional texts in the Adult Learning Skills Program. Exercises in this basic level book are for the mathematics subject area. Course numbers and exercise topics are: 101 (shapes, sizes, numerals, sequencing…

The primary objective of this study was to provide an experimental model of children's representations of addition and subtraction concepts viewed as constructed schemes. How children with different counting schemes differ in their addition and subtraction concepts and how the types of problems children solve correlate with the addition and…

Motivation for practicing basic arithmetic skills is provided by activities based on dart board games. There activities also require participants to devise winning strategies, adding enrichment to the game-type drills. (JP)

This study was an attempt to provide some evidence on the effects of calculator usage with primary-age children. Specifically, the study compared the performance of children who had access to calculators for an extended period of time, and whose teachers used calculators in specified instructional ways, with children who did not have access to…

The four studies reported in this document deal with aspects of assessing students' performance on computational skills. The first study grew out of a need for an instrument to measure students' speed at recalling addition facts. This had seemed to be a very easy task, but it proved to be much more difficult than anticipated. The second study grew…

This paper presents the results of three experiments studying routine problem-solving tasks in simple addition and subtraction. Indications are that children tend to solve such problems by internalized counting procedures which may be learned independently as a consequence of practice in problem solving. Brief descriptions of exploratory studies…

This study was concerned with the verification of a learning hierarchy for the mathematical task of adding fractions, when group learning procedures involving teacher-student interaction were used. Through a task analysis procedure a hierarchy of 13 subordinate skills was hypothesized, behavioral objectives were specified, and a curriculum…

The purpose of this study was to survey and examine the history of teaching of the basic addition facts in elementary school mathematics in the United States from colonial times to 1950. This examination is intended to provide insight into the causes of frustrations in teaching the facts in the past and possibly serve to alleviate anxiety in the…

Five reports from a 2-year study are presented. Frequencies and descriptions of systematic errors in the four algorithms in arithmetic were studied in upper-middle income, regular, and special education classrooms involving 744 children. Children were screened for adequate knowledge of basic facts and for receiving prior instruction on the…

Addition and subtraction of integers can be approached through the use of chips of two colors. (SD)

Described are two methods of calculating developed by the Dutch WISKOBAS Project: addition and subtraction with a loop abacus and multiplication using a grid model. (MP)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

Four activity sheets are given, presenting two-player games on matching, addition, and multiplication. (MP)

The paragraph unit that constitutes an addition or subtraction word problem text is discussed and the logical conditions such problems must fulfill are formulated. An attempt is then made to formulate the semantic conditions which will define well-formed addition and subtraction texts. (MN)