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.…

Describes the process of mathematical modeling, an extensive teacher's guide, and a student modeling activity to improve the efficiency of soft-drink packaging. (KHR)

Describes one pattern of reasoning observed in a mathematical activity with students in a grade 5 class and discusses ways in which the pattern is or is not mathematical. Describes patterns of reasoning in terms of ways of reasoning and degree of formulation of the reasoning. Distinguishes between mathematical reasoning and scientific reasoning in…

Describes a variation on a problem from the history of mathematics in which the class is divided into cooperative learning groups of four students each. Each group is challenged to find a procedure for resolving the situation with several solutions emerging. Emphasizes the importance of examining "incorrect" answers and discussing the…

Describes strategies for using literature to teach number sense and problem solving. Reports that the rich class discussions reflected some of the students' thinking, gave students opportunities to share their approaches and understandings, and gave the teacher additional insights into students' thinking. (JRH)

Explores the working group model for mathematics teacher education and presents group investigations from the areas of number theory, probability, and geometry. Argues that by working in groups, sharing ideas, and making and testing conjectures, prospective teachers gain confidence in their own ability to do mathematics and develop a variety of…

Explores the various cultural perspectives present in mathematics education in China. States that the Chinese mathematics education has hidden problems and can learn from the Western mathematics education that utilizes approaches such as problem solving and constructivism. States that ethnomathematics should have an active role. (CMK)

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…

Introduces an activity, Equation Telephone, designed to improve students' ability to interpret written information and recognize equivalent forms of an equation. Discusses the activity in detail and presents examples of student responses. (KHR)

Examines the extended effects of an instructional program designed to enhance schema development. Uses non-goal specific problems to teach geometry to high school students who need remedial tuition. Indicates that participants in the non-goal specific group showed greater improvements. Includes references. (CMK)

Examines the performance of deaf and hearing-impaired students in Queensland, Australia when solving arithmetic word problems. Subjects' solutions of word problems confirmed trends for learning students but their performance was delayed in comparison. Confirms other studies in which deaf and hearing-impaired students are delayed in their language…

The initial step of a strategic process for solving mathematical problems, "studying the question," is discussed. A lesson plan for teaching students to identify and revise arithmetic problems is presented, involving directed instruction and supervised practice. (JDD)

Experiments in strategy instruction for mathematics have been conducted using three models (direct instruction, self-instruction, and guided learning) applied to the tasks of computation and word problem solving. Results have implications for effective strategy instruction for learning disabled students. It is recommended that strategy instruction…

Argues that educators must move away from a computation-dominated curriculum to a curriculum that stresses problem solving and understanding. States that small group instruction is appropriate for this type of curriculum. (PCB)

Discusses the role of computer-assisted instruction in teaching thinking skills and presents a case study in teaching domain-specific strategies. A videodisc-based program called "Mastering Ratios and Word Problems Strategies" is described, and the debate over teaching broad-based thinking processes versus content-specific skills is…