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 possibility of preparing a set of word problems of a predicted level of difficulty based on six variables (for multiplication, division, recall, conversions, operations, and number of words in the problem statement) and on regression equations developed in previous work was investigated. Four problem sets were used in grades four through six,…

One hundred and seven students of 365,000 students given the annual High School Mathematics Examination took part in the sixth U.S.A. Mathematical Olympiad. The top eight scores are listed along with comparative Exam and Olympiad scores for the group and individual problem scores. The problems proposed on the U.S.A. Olympiad on an International…

Presents a problem involving fractions for discussing and sharing of student responses to the problem at a later date. (KHR)

This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

This monograph provides teachers with a wide range of articles on the teaching of problem solving in the mathematics classroom. The first section, on Understanding the Problem, includes articles which provide a sense of the "problem" of teaching problem solving. The second section, on Devising a Plan, provides suggested plans for…

A set of 58 problems that may be solved by using lists is presented. This set is part of the Mathematical Problem Solving Project. The problems are coded for three levels of difficulty and are designed for students in the intermediate grades. Answers are provided. (MP)

This teacher's guide contains instructions for the use of a booklet designed to teach problem solving through guessing. For each lesson the purpose, an overview, and detailed teaching procedures are presented. The five lessons are: (1) using guesses and computation to solve problems; (2) using guesses to solve two-step problems; (3) using guesses…

Fifteen mathematical puzzles and problems are presented. Areas investigated include pentominoes, arithmetic, fractions, and dissections (dissecting) a shape into two pieces that can be fitted together to form a square. Answers for each puzzle and problems are included. (JN)

The theme for the column is composing and solving problems. One section has teacher-developed problems for the primary grades. The other section contains student-authored problems for the upper grades, submitted for a student problem contest. (LS)

Describes experience of teaching truth tables and problems that exercise students' critical reasoning. (KHR)

Comments on student responses to the three dimensional items produced by first investigating flat paper cutouts of the items. (KHR)

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…