This is a companion piece to "Professional Learning Community: Improving Mathematical Problem Solving for Students in Grades 4 through 8. Facilitator's Guide. REL 2019-002" (ED595201). It contains handouts to accompany each of the sessions included in the facilitator's guide.

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

This paper first defines the bridge club scheduling problem that was presented to the author and then explores the meaning of an optimal solution. Next, an analytical solution is sought based on the classification of the problem as a resolvable partially balanced incomplete block design. Finally, four increasingly sophisticated techniques of…

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)

Results obtained from investigating number properties are discussed, along with six points that are felt, in general, to be the ingredients necessary for a successful learning experience. Two programs written in BASIC designed to aid in aspects of Number Theory are included. (MP)

A new textbook was considered which included engaging, carefully sequenced problems to help students develop skill and understanding of division. The teacher's manual encouraged Boerst to provide opportunities for the students to share multiple methods for division in order to reinforce the idea that many ways exist to solve mathematical problems.

This book is designed to prepare students for taking the SAT I--Reasoning Test using a problem-solving focus. It clarifies the purpose, structure, and use of the SAT I and provides meaningful instructional material and explanations which illuminate the necessary skills. The book begins with a review of essential fundamentals, including useful…

Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

This book is part of the "Windows on Literacy: Language, Literacy & Vocabulary" program and shows students ways to solve problems, including drawing a picture and using a calculator. The suggested grade range is K-3; the guided reading level is N-P; the basal results level is Grade 2-Grade 3; and the Windows on Literacy Stage is Fluent Plus…

Two problem-solving skills, guess-and-test and simplification, are introduced and reinforced through a variety of motivating problem situations. Solutions of sample problems and extensive directions for the teacher encourage the use of Polya's four-step model of problem solving. (MNS)

This book was developed to answer those questions and concerns most often on the minds of students during a mathematics class. It offers them insight from an instructor's viewpoint on how to increase their probability of success in a mathematics course. It is intended to approach the learning of mathematics through both motivating students and…

Two map posters are provided. Younger children can use a neighborhood map to locate information and trace paths, while older children can use a wilderness map to read scales. The emphasis is on problem solving with both maps. (MNS)

Motivational classroom materials that provide direct instruction on problem-solving skills are given. The activity highlights and provides opportunities for practice with two problem-solving skills, make a drawing and work backward. (MNS)

A problem in applied mathematics is presented that is thought fit for a study project by secondary students. The analysis includes topics in beginning algebra, theory of interest, and theory of sums of series of infinite length and looks at trade-offs between price and mileage. (MP)

Problem-solving situations are presented in various settings--a park (levels 1-2), a carnival (levels 2-4), a map (levels 4-6), and a hardware store (levels 7-8). Each page is designed to be reproduced and used for discussion. (MNS)