This paper discusses an experiment designed to determine the effects of a problem-solving approach to instruction (PSAI) on eighth grade Algebra I students. Comparisons were made of the scores from the 1991 and 1993 Subject Area Testing Program--Algebra I of skills taught via PSAI and skills taught traditionally. In 1991 (n=56) eighth grade…

Answers Burn's question related to a previous study on the nature of knowledge about abstract algebra. Claims that a previous paper presents research that attempts to contribute to knowledge of how students' understanding of certain group concepts may develop instead of teaching abstract algebra with the computer software ISETL. (ASK)

Presents a teaching experiment to turn students from external observers into active participants in a game of algebra learning where students use graphs to build meaning for equivalence of algebraic expressions. Concludes that the graphic-functional approach seems to make the introduction to algebra much more meaningful for the learner. (ASK)

Discusses police officers' use of mathematics when reconstructing an accident scene; and the history of algebra, including al-Khwarizmi's works on the theory of equations, the Rhind Papyrus, a Chinese and an Indian manuscript on systems of linear and quadratic equations, and Diophantus'"syncopated algebra." (10 references) (EK)

Develops and tests a function-based approach to algebra called the Visual Mathematics curriculum in grades 7-9. Presents a theoretical framework for a systemic investigation of the structures of algebra word problems and their relationship to function-based solutions. Suggests new insights into categorizing word problems. (Contains 19 references.)…

This paper suggests a route to deep, long-term algebra reform that begins not with more new approaches but with elementary school teachers and the reform efforts that currently exist. This route involves generalization and expression of that generality using increasingly formal languages, beginning with arithmetic, modeling situations, geometry,…

Introduces mathematical guessing games to teach algebra that motivate students in learning mathematics by stimulating their curiosity and problem-solving abilities. (ASK)

Examines teachers' judgments of the difficulties of algebra problems. Offers classroom-tested instructional approaches that build directly on students' mathematical intuitions and inventions. (KHR)

This resource book contains 20 magic tricks based on the properties of whole numbers that are intended to spark the interest and imagination of students. Following each activity, students are asked to write about their discoveries and to create their own magic tricks. A matrix of skills for all the activities and lists of the materials required…

This resource book contains 15 magic tricks based on the properties of whole numbers that are intended to spark the interest and imagination of students. Following each activity, students are asked to write about their discoveries and to create their own magic tricks. A matrix of skills for all the activities and lists of the materials required…

Partnership for Access to Higher Mathematics uses fiber-optic technology in a partnership program among Southwest Texas State University, the San Marcos School District, the telephone company, and the community to significantly improve the mathematical skills of at-risk students. (MLF)

Shares broad classroom strategies for enhancing academic achievement for all students and discusses the nature and scope of each strategy. (KHR)

Presents activities to visually explore the algebraic concepts of variable, constant, the distributive property, and combining like terms. Presents four transparencies that use visual models to understand exercises in students perform the same mental calculations on a number of their choice and obtain the same result. (MDH)

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)

A basic algebra unit was developed at Utah Valley State College to emphasize applications of mathematical concepts in the work world, using video and computer-generated graphics to integrate textual material. The course was implemented in three introductory algebra sections involving 80 students and taught algebraic concepts using such areas as…