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…

Presented is an activity for teaching linear algebra to grade 7 or grade 8 students. The activity is taken from the "Victorian Secondary Reality in Maths Education" (RIME) Pack. The activity called "Backtracking" builds on intuitions and understandings that students already possess. (RH)

Examines some of the mathematical topics which are important in computer science by discussing in some detail the process of sorting by comparisons. (JN)

Discussed are different aspects of interviewing that will help a teacher to learn weaknesses and strengths of students' mathematical thinking. Information learned from the students can have a dramatic effect on what is taught, when it is taught, how it is taught, and how a child's progress is evaluated. (RH)

A description of the development of three-valued logic includes construction of truth tables. (MK)

Continues analyzing some fundamental mathematical ideas on logic and proof. Provides some sample problems and their solutions. (ASK)

Presents mathematical games that involve a problem-solving matrix, multicolored cubes, and three-dimensional dominoes. The work of Alexander MacMahon is highlighted. (MA)

Presented are examples from geometry that are designed to investigate whether situations fit Euclidean geometry. Diagrams and activities are provided for examples. (RH)

Examined is what radical constructivism in connection with Intuitionism might mean to mathematics instruction. Implications for mathematics education, especially the potential consequences for the teaching of mathematics of a relativist view of mathematical knowledge, are suggested. (YP)

Presented is a brief overview of Japanese education followed by specific ideas about important considerations in the teaching of mathematics in elementary grades. Examples are given for teaching flexibility in mathematical thinking. (RH)

Procedures for developing a variety of magic squares and magic triangles are given. A bibliography with references containing more ideas is included. (RH)

Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)