Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)

N:4$2 N:4$N Reported are results of a Technical Education Research Centers (TERC) project describing telecommunication interactions between groups of students using the computer software unit "Connectany." Polygons are formed through repetitive "jumps" between points on a circle. Investigation questions and results are shared…

This text reviews academic, emotional, motivational, and social learning theories that help children to be their own teachers and teachers to be aware of the advantages of taking charge of one's own learning, rather than depending on teacher education methodology. Learning is described as more than learning facts and figures or directive…

Evidence for suggested basic differences in the abstract reasoning capacity of Negro and Caucasian children includes consistent findings of significantly poorer performance by Negroes on Raven's Progressive Matrices (PM). This study investigated the PM performance of Negro children taught algebra via a discovery method of instruction. It was…

Discusses the need to teach problem-solving skills in science. Differentiates between guided discovery, guided inquiry, guided exploration, and guided investigation. Describes how guided exploration evolved and how it can be applied to the science curriculum. Provides a flowchart for guided investigation. (TW)

Discusses a unit to teach reasoning and problem solving skills by helping students develop a systematic approach to problem identification, gather and analyze data, arrive at inferences and keep from jumping to conclusions. Describes the development of an activity investigating liquids designed to foster the needed problem-solving skills. (JM)

Teacher's abilities to remain sufficiently faithful to predefined learning scenarios are examined via case studies. The behavior of 2 teachers during problem-solving sessions in geometry with 13-14 year olds exhibited 2 types of factors that tend to hamper scenario reproducibility: constraints on the teacher resulting from the teaching situation;…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

System-initiated adaptive advice and learner-requested nonadaptive background information were investigated in computer simulation game experiments with 64 seventh graders, 38 college students, and 80 seventh and eighth graders in Germany. Results are discussed in terms of theories of problem solving, intelligence, memory, and information…

The California Assessment Program (CAP) administers tests to all public school students at certain grade levels, compiles the results, and provides information that allows educators to judge the effectiveness of their programs and make improvements. This sampler describes the types of assessment that CAP proposes to respond to the needed changes…

This book provides teacher lesson plans that are designed to help teachers of computer literacy courses make appropriate use of instructional materials. It is designed to help inservice teachers with the day-to-day challenge of assisting a wide range of students in becoming more computer literate. In addition, the book is useful for educators who…

This collection of documents promotes simulation as an attractive topic in mathematics instruction that provides game-like activities likely to interest pupils, by illustrating the important ideas of probability and showing how mathematical models can be used in practical problems clearly relevant to everyday life. While computer programs written…

The relationship between intellectual ability, working method, and learning was investigated with simulations in both structured and unstructured learning environments. High- and low-intelligence college students' thinking-aloud protocols were analyzed on quality of working method. Results indicated that both intellectual ability and working…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)

This guide for teaching science is Book Two in Project Life Lab's (Santa Cruz, California) three-part curriculum for a garden-based science and nutrition program for grades 2-6. The curriculum is designed for use as an integrated program, but the books can be used independently. It is suggested that the use of student journals can greatly enhance…