The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher's knowledge effects the students' knowledge. A teacher should use appropriate mathematical explanation to be understood well by…

Solving problems involving absolute value is one of the hardest topics for students learning in elementary algebra course. This is an important topic in student's mathematics life since absolute value functions are important example of a function which is continuous on the real line but not differentiable at the origin. A deep understanding of…

Children's intuitive understanding of numbers begins early in life, and their numbers-related knowledge influences instructors' teaching practices. The number zero is more difficult to teach and learn than other numbers. The purpose of this study was to investigate how preschool teachers perceive the number zero and design their teaching practices…

This paper discusses a proposal for exploration and verification of numerical and algebraic behavior correspondingly to Generalized Fibonacci model. Thus, it develops a special attention to the class of Fibonacci quaternions and Fibonacci octonions and with this assumption, the work indicates an investigative and epistemological route, with…

Six possible ways of defining prime numbers are given, and additional activities on the topic are suggested. (MK)

Number sense is easy to recognize but difficult to define and hence, to teach. In this article, number sense is defined in terms of the knowledge known to underline it, as identified in cognitive developmental theory and research. A preK-2 mathematics program, called Number Worlds, that was specifically developed to teach this knowledge is…

Five intuitive explanations of division by zero that arise from the common models used in the elementary school to introduce whole number division are presented. (MK)

This bilingual dictionary was developed for use by Vietnamese junior high and high school students to assist them in their understanding of mathematical vocabulary and concepts in English. Terminology and definitions are provided in English, with Vietnamese translations directly below each entry. When possible, an illustration is included.…