Fluency with basic number facts is vital for students' progress in mathematics. Not only does it contribute to students' facility with mental computation and algorithms, but an understanding of numbers and their properties builds a foundation for future mathematical work including algebra. There are many activities that can help students…

Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

The need to include proficiency with estimation and mental arithmetic as goals for the study of computation is presented. Approaches and guidelines are described for developing these skills.

A method of multiplying using fingers is described and an explanation given. The method is then generalized to other number bases. (MP)

Thinking strategies that are related to counting are discussed and activities that are necessary for the understanding of number and counting are suggested. (Author/MP)

Activities with number cards can provide a wide variety of exploratory experience. Sequences, addition, subtraction, counting and change, and arrays with number cards are discussed. (MNS)

The importance of having children manipulate small objects that can be grouped, arranged, and counted is discussed. Learning activities for one-to-one correspondence, numerals, and the four operations are given. (MNS)

This publication is designed to help teachers increase awareness of multicultural issues for all students while making science and mathematics more relevant and approachable to children of color. The activities presented in this book are both multicultural and hands-on; they are discoveries to be made by the reader. They will allow teachers and…

This booklet provides worksheets for children in preschool through grade one. The focus is on developing number concepts, with activities on matching numbers with pictures and on completing sequences, addition and subtraction facts, measurement ideas, fraction ideas, and identifying shapes. (MNS)

Questioned is a method of having students tap reference points on numerals to count out sums, differences, and products. How the method works, educators' reactions, and problems noted in interviews with children are discussed. (MNS)

A game with dice that can be adapted for use at various levels of understanding is presented. (MS)

A finger method for subtraction that has proved successful with many young subtraction-troubled mathematics students is presented. (MP)

Exercises are used when beginning work with calculators to help pupils think about what they are doing. Four worksheets are included, with discussion of their objectives. (MNS)

These worksheets deal with sums of numbers. Students are asked to find the relationship between the last number in the series, the number of addends, and the sum. (MP)

Instructional sequences are presented for teaching two-digit multiplication and division with one- and two-digit divisors using a base-oriented approach. (MN)