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…

Insights from both cognitive psychology and learning disabilities intervention research are presented to improve understanding of the processes by which number fact fluency develops. Discussion includes assessment guidelines and learning strategies such as counting all, counting on, and alternative groupings. (Author/JDD)

The purpose of this instructional packet is to inform teachers and parents about children's development of numeracy in the early years of schooling. "I Can Do Maths" questions are in a child-friendly format and require children to write, draw, count, and measure. Two "ezi-guides" are provided to make administration easier. Keeping track of the…

This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…

A teacher of deaf fifth graders recounts the use of math logs to help students to write about their math experiences and thus generate, comprehend, and express mathematical ideas and knowledge. The process also helped the teacher pinpoint math problem areas and assess and monitor students' understanding of math concepts. (DB)

Discusses weak links in children's developing power in counting. Presents assessment information for mathematics curriculum planning and activities embedding the subskills of counting into daily routines. (MKR)

This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. Activities are correlated to a mathematics curriculum for ages 7-9 years. The activities supplement the teaching of basic numeracy and include topics such as the language of mathematics, matching numbers, tracing the numbers, number…

Recommends conducting interviews with students in order to grasp their understanding of fractions and provides interview questions. Presents results of a study using those interview questions and concludes student responses fell into three main categories: (1) described a mental image of an object; (2) drew a model of the fraction using a circle…

Reports research findings regarding the learning and teaching of proportional reasoning. Presents four tasks devised to assess students' proportional reasoning and describes four solution strategies for solving these tasks based on the analysis of seventh and eighth graders' correct responses. (MDH)

This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…

This publication, the sixth of seven booklets intended for adult education teachers of students with learning disabilities, reviews assessment and remediation considerations in mathematics. Observation of math disabilities is discussed in terms of social and general academic environment, calculation activities, quantitative concepts, and applied…

This profile is designed as a recording sheet for monitoring an individual student's progress throughout the school year. Kindergarten assessment materials and the "Strategies for Instruction in Mathematics" suggests tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of levels of…