Methods of effectively teaching algebraic thinking in elementary schools as well as secondary schools is the topic of the following 19 papers. Papers include: (1) "Transforming Algebra from an Engine of Inequity to an Engine of Mathematical Power by 'Algebrafying' the K-12 Curriculum" (J. Kaput); (2) "Developing a Coherent and…

The ability to use algebra in describing and analyzing real-world situations is becoming a basic skill for all students. The main focus of this book is on patterns, functions, and relationships. Information and ideas on how algebraic thinking can be developed in the years leading to a formal algebra course are included. K-8 teachers are offered a…

This book features a set of problems assembled to reflect the criteria of the mathematics portion of the North Carolina High School Comprehensive Test. The problems are not necessarily suited to timed situations but rather are intended for classroom use by teachers to review high school mathematics and build upon concepts and skills developed in…

As a learning theory, constructivism describes knowledge as being in flux--where an individual internally constructs knowledge through social and cultural mediation. Constructivist learning theorists contend that social activity and discourse must play important roles in order for understanding to occur. This paper describes how the social…

Constructivism is considered a driving force in mathematics education. The purpose of this paper is to describe how the social constructivist view of learning can be useful in the teaching of high school algebra and in the preparation of mathematics teachers. A brief summary of the social constructivist view as a philosophy of mathematics is…

Students undertaking mathematics courses in their final year of secondary education in Victoria are assessed using a combination of school based coursework assessment and examinations. Over the last decade, students have used technology such as graphics calculators, statistical software, spreadsheets, and computer algebra systems (CAS) extensively…

The purpose of this paper is threefold. First, the description of a research plan for a large-scale computer adaptive testing program migrating from a network to Internet version is presented. The general areas needed in such a research plan include: (1) comparability studies; (2) psychometric analyses; (3) development projects; (4) validity…

A strategy game is presented that teachers (1) logical reasoning; (2) how to formulate a clear verbal argument that explains your reasoning; (3) basic mathematical skills and (4) computational skills. The game is adaptable for many levels of instruction. (JP)

A series of experiences with patterns in number pairs, each using a physical model. (MM)

A comparison of New York City students of similar sex and ability in regr/MB)

An experiment in the use of a programmed text in college-level remedial algebra, in which contract grading was used in conjunction with learning for mastery. (MM)

Work sample aptitude test items and questionnaire items on past and predicted grades each contributed to the predictive efficiency of the Orleans-Hanna Algebra Prognosis Test in forecasting algebra grades for 2,684 eighth grade students. (Author/PN)