This manual consists of an introduction to our Academic Peer Instruction (API) program at LaGuardia Community College, a compilation of the materials we have developed and use for training of our tutors (with answers), and a bibliography. API is based on an internationally recognized peer tutoring program, Supplemental Instruction. (Contains 6…

Presents some examples of drill problems turned into thinking problems. Examples include fraction problems, stretching simple problems, cone problems, and area problems. (KHR)

Describes the electronic homework system that provides individual students with a disk of programs that they can use to generate personalized problem sets. Discusses the advantages of this approach and the nature of computerized problems. (JRH)

Introduces a problem that can be used to help children develop graph sense. Involves two graphs of which students must determine which one applies to which situation. (KHR)

Presents six mathematical problems (with answers) which focus on: (1) chess moves; (2) patterned numbers; (3) quadratics with rational roots; (4) number puzzles; (5) Euclidean geometry; and (6) Carrollian word puzzles. (JN)

Masters of worksheets are given that are designed to help students develop the problem-solving skills of analyzing information, identifying the question, and selecting pertinent facts. (MK)

Describes a problem that appeared in the April, 1999 issue of this journal and analyzes student responses and misconceptions. The problem concerns exponential progressions. (KHR)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

Four different types of problems from graph theory are presented and discussed. (MK)

Presents a word problem designed to encourage students to create systematic methods for counting and develop probability concepts. Involves sharing eight cookies between three people. (KHR)

Research indicates that students' learning performance can be improved through techniques of "action-feedback-correction," which involves the student answering questions, feedback on which answers are right and which wrong, and repetition of the process until the right answer is achieved. Such a system can easily be devised using objective…

This problem deck is designed for use after having covered the material in an accompanying skills booklet. It provides for further use of the skills with problems involving four skills at five levels of difficulty. The four skills involve using guesses as a strategy in solving computation problems, two-step problems, situations that require…

This problem deck contains over 150 problems related to the module "Using Tables to Solve Problems." The problems are presented at five levels of difficulty and contain four basic types of two-dimensional tables: (1) constant sum; (2) constant differences; (3) constant quotient or ratio; and (4) constant product. (MP)

The article outlines a series of mathematical tasks for gifted students (aged 7-12 years), stressing the value of research and inservice education that is firmly teacher and classroom based. (Author/DB)

The goals and history of the Mathematical Olympiads for Elementary Schools are described. Teams, levels, and gender are discussed, as well as teacher training, administration, scoring, and awards. Sample problems are included. (MNS)