This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

The application of technology in classroom settings has equipped educators with innovative tools and techniques for effective teaching practice. Integrating digital technologies at the elementary and secondary levels helps to enrich the students' learning experience and maximize competency in the areas of science, technology, engineering, and…

The processes and procedures used by expert mental calculators are identified from a literature review. Experts are characterized by knowledge of a variety of methods, ability to recall numerical equivalents, and ability to remember the numbers involved in various stages of calculations. (MNS)

A set of three problem-solving programs designed as drills that give practice in mental arithmetic are reviewed. The programs are viewed to have several weaknesses in style, but are noted as worthy of consideration for purchase. The material is designed to motivate students to practice all four basic operations. (MP)

This article calls attention to testing as an integral part of teaching mental computation. It begins with an overview of students' performance and is followed by some specific suggestions for testing mental computation skills in the classroom. (Author)

Two mental algorithms, one for addition and one for subtraction, are described. It is felt such algorithms should be taught explicitly. The usual process taught for paper and pencil is seen to inhibit mental arithmetic, and a need to include mental algorithms in the regular mathematics curriculum is promoted. (MP)

Support of the need for more emphasis on mental arithmetic in the classroom is given. Classroom methods and activities for developing skill in mental arithmetic are included. (MN)

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)

Presents a series of reflections in which a second-grade teacher recognizes the value of encouraging children to develop various computational processes as well as a range of different solution approaches. Uses the context of mentally calculating costs of menu items. (MKR)

This yearbook responds to the growing recognition among mathematics educators of the importance of teaching and learning estimation. It makes a strong case for the importance of estimation in such domains as numerosity, computation, and measurement. An important theme is the interdependency between the process of estimating in a particular domain…

The difference between estimation (the mental skill of making an educated guess) and approximation (finding a result precise enough for a specific purpose) is discussed. (MNS)

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.

Discoveries of Charles Babbage in the 1800s are described. Origins of the difference engine, his calculating machine, the principles of computation applied to tables, and the design and construction of his engine are included. (MNS)

Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)

This paper on the language of zero (1) deals with the spoken and written symbols used to convey the concepts of zero; (2) considers computational algorithms and the exception behavior of zero which illustrate much language of and about zero; and (3) the historical evolution of the language of zero. (JN)