Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods…

"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

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 development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…

This paper discusses the use of Stern teaching materials with children with Down syndrome. The theory underlying the design of the materials is discussed, the teaching approach and methodology are described and evidence supporting effectiveness is outlined. (Contains 2 figures.)

This paper discusses the use of Numicon number teaching materials with children with Down syndrome. The theory underlying the design of the materials is discussed, the teaching approach and methodology are described and evidence supporting effectiveness is outlined. (Contains 4 figures.)

Shares an experience from a mathematics methods course for elementary teachers that used concrete materials to teach the concept of rounding in different bases. Discusses how this experience modeled recommendations by the NCTM "Professional Teaching Standards" in creating classroom climate and conducting discussion. (MDH)

The article uses case histories and anecdotes to describe the math difficulties of learning disabled children and to explain a variety of remedial therapies that match particular problems. (Author/DB)

Techniques used to teach a class of seven- and eight-year-old learning-disabled students to tell time are described. Students first practiced counting by 1s and 5s around a clock with no hands before being introduced to the differing functions of the minute and hour hands. (VW)

Some children ignore traditional methods and use intuitive math shortcuts. This demonstrates an understanding of the structure of numbers that should be cultivated in every child. Teaching strategies and shortcuts can nurture this intuitive understanding and give children real insight into numbers. (MT)

A strategy is presented for teaching arithmetic to students with mental retardation, based on subitizing, skill of recognizing number of objects in a set without actually counting, and pattern recognition. The strategy helps children understand concept of addition by representing number configurations on 5-frames and 10-frames, and reduces need…

The objective of preschool teachers should be to determine the mathematical ability of preschool children and improve their skills using meaningful teaching methods through pictorial demonstration and manipulative models. Children who receive number concept instruction through hands-on play models, activities, and discussion show greater…

Three topics related to teaching mathematics are discussed: a problem with the order of operations, teaching fractions, and an application of the distributive property. (MP)

A teacher describes an activity designed to help children understand the number concepts of the basic addition facts with sums of 11 or greater. (CL)

After prime factors of a set of numbers are listed, geometric shapes are used to find the prime factors of the least common multiple (LCM). (MNS)