The study of mathematics at the university level requires logical thinking and strong mathematical skills. Contemporary first-year students are not prepared for these demands and end up failing their courses. This study aims to present an instrument for enhancing mathematics teaching and promoting learning with understanding in higher education by…

Relating natural language to mathematical language is an important component of elementary mathematics education. This paper describes new steps toward a computerized database of addition and subtraction word problems that could provide teachers and students with access to critical natural language terms and expressions for mathematical…

Traces three major stages in the development of algebraic notation: (1) rhetorical or prose; (2) syncopated; and (3) symbolic. Illustrates the development of a standardized, efficient symbol system by tracing the evolution of some common symbols, including the symbols for equals, addition, subtraction, multiplication, and division. (Author/WRM)

THIS IS A STUDY OF AUTOINSTRUCTIONAL PROGRAMING IN WHICH THE LINEAR FORMAT REQUIRES SYMBOLIC, NONVERBAL RESPONSES. THE NONVERBAL RESPONSES ARE A SEQUENCE OF TASKS. THE NONVERBAL MATERIAL CONSISTED OF GRAPHIC AND SYMBOLIC REPRESENTATIONS OF VECTORS. SIGNIFICANT DIFFERENCES IN LEARNING BETWEEN GROUPS USING VERBAL AND NONVERBAL PRESENTATIONS OF…

A major component of student difficulty with algebra is the inability to make sense of the algebra symbol system as a language. Accordingly, remedies should be sought by considering algebra in a linguistic sense. (PK)

Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…

Describes a general education course addressing the linguistic and logical aspects of the language of mathematics which is intended to develop students' abilities to read mathematics, express mathematical thoughts clearly, reason logically, and grasp the nature of proof. Students improved their algebraic procedural skills and attitudes toward…

This longitudinal study investigated the ways in which two groups of eight students used spreadsheets to represent and solve algebra problems and related this to their previous arithmetical experiences and evolving use of symbolic language. The spreadsheet environment supported students to move from specific to general thinking. Includes story…