Establishes six levels from an inductive proof to an algebraic demonstration on the bases of three axes in lower secondary school mathematics. Examines the meanings of demonstration and proof in lower secondary school mathematics and shows the relationships between them. Illustrates the discussion with a seventh grade student's activities.…

Discusses the place of writing in mathematics classes. Presents three specific writing assignments designed for and used in a college abstract algebra course. (ASK)

Describes the efforts in one large county to provide professional development and encourage dialog among elementary, middle, and high school mathematics teachers about issues related to algebraic thinking. Presents information on the algebra network, sample activities, and participant reactions. (ASK)

Analyzes student construction of function-based problem solving methods in introductory algebra. Describes longitudinal observation of a pair of students that studied algebra for three years using the function approach including intensive use of graphing technology. Offers terms for describing and explaining what and how do learners appreciate and…

The mathematical curriculum of the next millennium should harness children's motivation without losing their mathematics. Envisages that the computer might offer just the context to help do this. Presents snapshots from two case studies. (Contains 18 references.) (ASK)

Examined peer group structures in low- and regular-track high school algebra classrooms, studying clique group affiliations defined by students and their teachers regarding academic achievement. Clique group affiliation was a potential predictor of academic achievement in both types of classes. Successful achievement appeared to be a factor that…

It is argued that interrater agreement is a psychometric property which is theoretically different from classic reliability. Formulas are presented to illustrate a set of algebraically equivalent rater agreement indices that are intended to provide educational and psychological researchers with a practical way to establish a measure of rater…

The Interactive Mathematics Program is part of a National Science Foundation effort to design a comprehensive, standards-based high school mathematics curriculum. IMP's four-year program, which replaces the traditional sequence, involves little memorization, integrates traditional material with topics such as probability and statistics, and uses…

Introduces programs that assist blind students such as Tactile Access to Education for Visually Impaired Students (TAEVIS). Reports on two blind students who successfully completed physics courses and their learning strategies. Discusses the accessibility of visual aids. (YDS)

Identifies a number of algebraic constructs that emerge from conducting investigations in a Logo environment. Details the intellectual struggle of a number of students as they interact with the environment. Reports on the development of a series of comparative case studies with seven students enrolled in an online talent education development…

Presents a theoretical framework based on interviews with undergraduate students and written questionnaires to study how undergraduate students cope with abstract algebra concepts. Indicates that students' responses can be interpreted as a result of reducing the level of abstraction. Examines the theme of reducing abstraction based on three…

Investigates 6th-grade students' use of equations to describe and represent problem situations prior to formal instruction in algebra. Describes students' preinstructional uses of equations to generalize problem situations and raise questions about the most appropriate curriculum for building on students' intuitive knowledge of algebra. (Contains…

A study investigated the effects of an instructional strategy within a graduated teaching sequence on the representation and solution of problem-solving skills encompassing integer numbers for six secondary students with learning disabilities. Results indicate problem-solving skills dramatically improved following instruction at the concrete,…

Diversity can be introduced in algebra without needing extra time. Explores three opportunities to encounter and engage diversity: (1) history; (2) multiple representations; and (3) object concept of function. (ASK)

Shares the experiences of intermediate algebra course instructors at a large urban community college in using a service-learning project to help students understand and appreciate the mathematics they were studying. (ASK)