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…

Presented are the results from a few of the writing prompts used in a study and some of the comments made by individual students in response to specific prompts. Background of the study, an intervention strategy, and categories used (prompts, responses, applications, and explanations to peers) are discussed. (CW)

The geometry problems of finding rectangles that have numerically equal areas and perimeters knowing when the plane can be tessellated by congruent regular polygons are connected by the equation: m = 2n/(n-2). Three graphic approaches to the solution of the problem when m and n are integers are discussed. (MDH)

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)

Discusses the use of activities demonstrating connections between algebra and geometry, which helps students gain a conceptual understanding of important calculus ideas and gives a historical appreciation of how mathematics evolves. Uses distance, speed, and time problems as an example. (MKR)

North Carolina revised its "Standard Course of Study" in 1985 to reflect the knowledge, skills, and attitudes needed to function in an industrial age. The entrance into what is being called the information age brings new challenges in preparing students with new skills in the areas of creative thinking, problem solving, interpersonal…

Adopts several strategies for successful teaching and learning of linear algebra, which consist of a set of computer projects allowing students to explore new concepts, make conjectures, apply theorems, and work on applied projects of their choice. The resulting improvement in student learning has been remarkable. (Contains 12 references.)…

Discusses the objectives, organization, assessment, student reactions, and evaluation of an abstract algebra course in which small-group instruction was used. Concludes that better understanding is achieved and the students assimilate more concepts using this method, although the pace is slower than that in a traditional classroom setting.…

The purpose of this series is to provide instructional ideas and materials that support implementation of the Curriculum and Evaluation Standards in local settings. This book addresses in a very practical way the content, pedagogy, and pupil assessment dimensions of reshaping school mathematics. Chapters include discussions and activities that…

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

Presents a method blending ideas from logic, algebra, and operators to devise discrete functions that yield the same truth values as the truth tables associated with specific logic statements. Introduces mechanisms that encourage students to discover examples of discrete functions, approximately represent logic statements, and provides examples of…

Describes teacher and student experiences in a college algebra course at a high school when assessment practices changed. (ASK)

This course of study guide is designed to help teachers establish a continuity within the scope and sequence of their elementary school mathematics curriculum and to assist those teachers in formulating some realistic goals for themselves and their students. Part I contains an introduction and statement of philosophy. Part II contains course…

This book is a collection of activities designed to complement an Algebra I program that features cooperative learning. The activity descriptions contain learning outcomes, the National Council of Teachers of Mathematics (NCTM) standards addressed in the activity, a suggested time frame for the activity, assessment opportunities, materials…

The Hawaii Algebra Learning Project (HALP) developed a curriculum that intertwines algebraic content, instructional methods, and assessment techniques with a problem-solving focus. (MKR)