This study is on the importance of reading in mathematics. The hypothesis is that reading word problems affects the outcome of problem solving. Students, 44 fourth-graders in two different math classes taught by the same teacher, were given computation problems and other students received the same computation problems within a story problem. The…

The view of the researcher is that students in the upper elementary to middle school range need to increase their problem-solving skills by making logical deductions and organizing and structuring their thoughts through the use of word problems. Giving children a daily word problem challenged and introduced them to the lesson. This activity…

Beginning with more than 60 mathematics problems commonly taught in middle and high school, this book shares the excitement and mystery of mathematics, shows students how 60 mathematicians discovered mathematical solutions, and demonstrates how these discoveries can be applied to everyday situations. Each chapter presents the historical background…

Two experiments involving 67 elementary school and 439 high school students show that students present solutions to many unsolvable problems without showing realistic reactions. Results are discussed with respect to the quality of word problems in teaching mathematics, the culture of teaching and learning, and the issue of social rationality in…

Tested three models of children's mathematics word-problem solving based on developmental differences in quantitative conceptual structures: (1) quantitative relations represented as ordered array of mental objects; (2) numbers represented on two tentatively coordinated mental number lines; and (3) numerical operations represented as objects on…

Examined relations between algebraic word-problem attributes and students' strategies, errors, and problem difficulty. Found that constructed responses capture strategy formulation and high-level planning--as do traditional measures of quantitative reasoning--but are more sensitive to individual problem characteristics and procedural errors that…

Describes an 8-week study on sixth-grade students (n=23) to determine the effect of personalizing word problems on students' motivation and ability to write correct mathematical expressions. Data from weekly quizzes and student attitude surveys revealed student motivation and achievement were both enhanced. (MKP)

Investigates gender-related effects of a problem-solving plan for sixth graders (n=155). Analysis indicates a significant interaction effect of occasion of testing, test sequence, and gender. Concludes that females benefited from free exploration, of problem situations followed by an organized exploration whereas males appeared to function equally…

Examines changes in the problem posing strategies of a group of elementary preservice teachers as they posed problems to pupils. Indicates that the teachers' problem posing practices were changed from posing traditional single steps and computational problems to multiple approaches and solutions with open-ended and exploratory problems.…

Explores 80 sixth- and seventh-grade students' self-reported use of 14 categories of strategies for processing mathematical word problems and the relationship of strategy use to academic achievement, problem-solving behaviors, and problem-solving success. A chart of categories of strategic behavior and examples from middle schools students is…

Describes the history of the 14th-century mathematician and some samples of his work with word problems. Introduces ways of using historically original sources as a way to interest students and teach mathematics. (KHR)

Introduces Hogben's adaptation of Zeno's paradox, "Achilles and the Tortoise", as a thinking and writing exercise. Emphasizes engaging students' imagination with creative, thought-provoking problems and involving students in evaluating their word problem-solving strategies. Describes the paradox, logical solutions, and students' mathematical…

Assesses the effects of explicitly teaching for transfer by broadening the categories by which students group problems requiring the same solution methods and prompting students to search novel problems for these broad categories. This transfer treatment was combined with instruction on solution methods. Improvement on immediate- and near-transfer…

Describes the history of the unsolved moving sofa problem, presents one possible solution, and gives several suggestions for how this problem can be used in the classroom. (Author/NB)

Describes how mathematical puzzles and riddles can be implemented in the classroom to engage students in rich mathematical explorations and logical reasoning. (YDS)