Discusses research involving instruction to help students develop their mental managerial processes or metacognition, the role of a framework for problem-solving activities, the teacher as model or moderator, problem solving involving groups or pairs, and weaving writing into problem solving. (Contains 18 references.) (MKR)

Out of the 38 nations studied in the 1999 "Trends in International Mathematics and Science Study" (TIMSS), children in Singapore scored highest in mathematics (National Center for Education Statistics, NCES, 2003). Why do Singapore's children do so well in mathematics? The reasons are undoubtedly complex and involve social aspects.…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include computation and calculator practice, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, time tricks, calendar quips, crazy computing, and riddles. Twenty-nine games, tricks, and activities are found in…

This study examined the differential effects of two instructional strategies, an explicit schema-based strategy and a general cognitive strategy, on the acquisition, maintenance, and generalization of mathematical word problem solving by students with mild disabilities and at-risk students. Twenty-three second, third, fourth, and fifth graders…

Pupils need to experience a variety of reading activities in mathematics. Commercially published materials should be on the understanding levels of individual learners. Starting with the kindergarten level and progressing sequentially through the ensuing school years, pupils need to read meaningfully numerals used in the basic four operations, the…

This study, conducted in the Netherlands, examined the effects of a problem-solving program on students' problem-solving and metacognitive skills. The program consisted of four parts involving one or more aspects of problem solving in the content areas of proportions, geometry, numbers, and solving equations and inequalities. The experimental…

The Colorado Model Content Standards for Mathematics were designed to serve as a guide for school districts as they define standards that will enable every Colorado student to develop the mathematical literacy needed for citizenship and employment in the 21st century. A new vision is provided of the content students should study in order to…

Mathematical skills and reasoning and their applications are considered as forming one of the basic and essential areas of knowledge and experience that should be available to all Australian children. This collection of essays explaining problem solving in mathematics as an organizing theme for current and future curriculum development is a means…

The purpose of this study was to look intensively at two aspects of mathematics instruction--development and practice. It contrasted the Direct Instruction approach to the development phase of teaching problem solving with a Traditional approach taken from the teachers' manual of four widely used basal textbooks. Seventy-three fourth graders…

This booklet was designed to provide practice on mathematical skills with material that is relevant in the lives of students in grades 2-5. All pages are tear-out reproducibles that may be used in any order, although varying levels of difficulty in both content and reading level are apparent. Activities pertaining to number, computation,…

Hawaiian and part-Hawaiian children in kindergarten through grade 3 were administered the Metropolitan Mathematics Instructional Test to determine their achievement level in mathematics and areas of particular strength and weakness. Only the first grade exceeded the national norms. However, the kindergarten had covered only 21% of the test topics,…

Through individual interviews with remedial and precalculus university students, five characteristics of the student were identified that influence whether a diagram is used in solving a problem and whether its use is successful. The interviews also suggested a set of subskills that contribute to the overall ability to draw effective diagrams.…

Numerous research studies over the past five years indicate that a high percentage of college students have severe deficiencies in their ability to use mathematics as a language for representing simple quantitative relationships. In the United States these problems are nearly as common among students with strong computational skills in algebra and…

A problem-solving program supplemented by calculators in one treatment group was conducted in 63 grade 7 classes with about 1350 students. Teachers were provided with problems correlated with textbooks, and instruction for teaching problem-solving strategies. School districts provided calculators and problem-solving materials. Pretest scores…

The objective of this study was to evaluate the effectiveness of the "Groups of Four" program, examining the impact of the cooperative learning strategy on students' achievement in mathematical problem solving. Effects of three specific independent variables in the program were examined in terms of gender, group assignment, and ability,…