An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)

Presents an interesting problem intended to introduce students to an application of algebra and to help them make the transition from arithmetic to algebra. Uses different problem representations including making successive approximations, interpreting graphs, and solving equations. Discusses pedagogical issues involved. Contains 11 references.…

Describes an activity in which students roll balls down a ramp to measure the distance rolled under varying conditions. (Author/YDS)

Shares the results of some of the algebraic-thinking pattern problems presented in "Principles and Standards for School Mathematics." (KHR)

Describes an instructional sequence that promotes student understanding of a coordinate system while simultaneously facilitating understanding of linear relationships. (Author/NB)

Describes students' generalization strategies and justifications as they engage in patterning activities. (YDS)

Investigates and explores questions and activities related to using a calendar. Students explore number sense and operations, logical reasoning, data analysis, probability, and algebra. (Author/NB)

Investigates and explores questions and activities on pets. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Describes how students develop proportional reasoning through problem solving. Identifies the essential components of proportional reasoning and includes recommendations for instruction. (YDS)

Describes the use of paper folding to create a rich environment for discussing algebraic concepts. Explores the effect that changing the dimensions of two-dimensional objects has on the volume of related three-dimensional objects. (Contains 13 references.) (YDS)

Three pieces of computer software are described and reviewed: HyperCard, to build and use varied applications; Iggy's Gnees, for problem solving with shapes in grades kindergarten-two; and Algebra Shop, for practicing skills and problem solving. (MNS)

Discusses the creed in symmetry and the omnipresence of symmetrical relationships in mathematics and nature, discusses mathematicians' attraction toward looking for symmetrical relationships as an unstated problem-solving heuristic, and shows how symmetry can be used as a didactical tool. (Author/MKR)

Proposes sports statistics as a source of interesting and motivating problems for algebra students. Examines the possible solutions to a problem involving winning percentages in baseball. (MDH)

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…