Describes how to use homemade tiles, sketches, and the box method to reach a broader group of students for successful algebra learning. Provides a list of concepts appropriate for such an approach. (KHR)

Presents a project that addresses several components of the Algebra and Communication Standards for Grades 9-12 presented in Principles and Standards for School Mathematics (NCTM, 2000). Describes doing mathematical modeling and using the language of mathematics to express a recursive relationship in the perimeter and area of the Koch snowflake.…

Presents a case study in which two 8th grade students developed knowledge for modeling a physical device called a winch. Demonstrates that students have and can use criteria for evaluating algebraic representations. Explains how students can develop modeling knowledge by coordinating criteria with knowledge for generating and using algebraic…

Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)

Illustrates how the process of describing a trip by writing out map directions can help students develop the skills necessary to become proficient at solving linear equations. (YDS)

Introduces an activity that focuses on Hooke's law to implement and furnish applications of linear equations and graphing in a physical situation. (KHR)

Discusses examples from research of how students' misconceptions underlie their difficulties in interpreting kinematics graphs, possible underlying causes, and promising remedies. (KHR)

A study involving 80 undergraduates with deafness enrolled in first-year algebra courses found students were more likely to miscomprehend a relational statement and commit a reversal error when the required arithmetic operation was inconsistent with the statement's relational term. Reading ability influenced performance, and errors decreased as…

Explores the attempts of a group of preservice elementary school teachers to generalize a repeating visual number pattern. Discusses students' emergent algebraic thinking. Indicates that students' ability to express generalities verbally was not accompanied by algebraic notation, but participants often perceived complete and accurate solutions…

Describes a beginning algebra course that places stronger emphasis on learning to solve problems and introduces topics using real world applications. Students learn estimating, graphing, and algebraic algorithms for the purpose of solving problems. Indicates that applications motivate students by appearing to be a more relevant topic as well as…

Reviewed are 13 computer software packages including "Algebra I Second Semester"; "The Algebraic Proposer"; "SVE AutoGraph"; "Geometry: Concepts and Proofs"; "Geometry 1&2"; "Graphics Calculator"; "Interactive Physics"; "Learning Data Analysis with Data Desk";…

Explores whether the differences in use of terminology were related to respective fields or to idiosyncratic characteristics of experience and education. Reports differences among college teachers, high school teachers, and college students from a 16-item survey on algebraic and graphing terminology used in mathematics and science. (YP)

Discusses the use of scaling test scores for an algebra class. Provides example data, several equations used in scaling, and graphs. (YP)

Discusses the characteristics of repeating decimals to facilitate the translation of repeating decimals to fractions. Describes the algebraic and arithmetic methods for converting the repeating decimal. Illustrates arithmetic operations for n-digit integer. Eight references are listed. (YP)

Presents a calculator-type computer program, CLICAL, in conjunction with complex number, vector, and other geometric algebra computations. Compares the CLICAL with other symbolic programs for algebra. (Author/YP)