As students develop understanding and fluency in single-digit operations such as addition, they develop sophisticated strategies and number sense (magnitude, number order, and composition). Deficits in number sense and reliance on inefficient approaches can lead to struggle in mathematics. Intervention research in this area reported effects on…

Practice in adding single digits is provided by puzzles called Totalines. The Magic Pentagram and Hexagram and the Distance Chart extend the addition practice. (MNS)

This book contains a variety of worksheets to teach and reinforce addition skills. Secret codes, magic squares, pyramids, coloring activities, and dot-to-dot challenges are included to motivate students. A two-page test of basic addition facts is provided, with the suggestion that the teacher time the test and give it repeatedly to assess…

Provides the instructions to build a homemade calculator that can be used as a reinforcement device to assist primary students in memorizing their addition facts. (MDH)

This document is part 2 of the workbook for kindergarten pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

Described is a study in which three instructional approaches were applied in second grade classes. Discussed are proportional materials, nonproportional materials, nonproportional materials with pictorial models. Findings, results, and recommendations are presented. (CW)

Presented is a method of teaching adding and subtracting as an interrelated series of patterns using a number line. Examples of the use of this method as well as the materials necessary are discussed. Applications of the method to multiplication and division are given. (CW)

Presented are suggestions for increasing the efficient use of the transition board while reducing its overall size. Discussed are the construction and preparation of the boards. Teaching addition and subtraction using these materials is described. (CW)

This action research study examined the effectiveness of Touch Math, a math series that emphasizes use of manipulatives, to improve mathematics achievement with four third or fourth grade students with special needs (either mild mental retardation, learning disability, or health impairment). The students received mathematics instruction for 45…

Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)