The U.S. educational system is undergoing rapid and substantial changes with many states grappling with the adoption of the Common Core State Standards in Mathematics (CCSSM). Important research questions remain unanswered regarding the potential efficacy of the CCSSM to improve student math performance compared with students around the globe.…

Mathematics and science are important for success in school, but learning mathematics and science can be a difficult task to some students. Efforts to improve students' learning of school mathematics and science have led to reform efforts in curriculum and instruction over the past decades (e.g., National Council of Teachers of Mathematics [NCTM],…

Analyzed are textbook word problems that are typically used as applications of mathematics and shows some of the difficulties in making these problems realistic. A discussion and examples of sources of genuine mathematical applications in real life follows. (MN)

Reviews research which indicates that students performed better on problems when extraneous information was absent than when extraneous information was present. However, recommends that teachers embed word problems with realistic contexts, that is, contexts that contain extraneous bits of information to help students transfer their problem-solving…

Outlines a plan of action designed to enhance growth in problem-posing skills. The "blueprint" provides a model for teachers and teacher educators who wish to integrate more problem posing into their curriculum. Specific activities and instructional strategies are cited to illustrate the development of problem posing as a process in the classroom.…

Described is a two-week summer institute with 57 Ohio teachers in grades K-12. The teachers were given experiences in problem solving to help them broaden perceptions of real problem solving. Sixteen problem-solving strategies and four illustrative problems are included, and teachers' evaluative comments are discussed. (MNS)

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

Presents examples of word problems that can be used to illustrate the distributive property for preservice teachers. Includes examples involving extended sums, volume, area, prealgebra, place value, long multiplication, fractions, decimals, and algebra. (MDH)

Discusses the implications of the National Council of Teachers of Mathematics (NCTM) standards for mathematics curricula and instruction and provides three examples of lessons from problem-based curricula for various grades. (Author/MM)

Presents scores teachers assigned to samples of actual students' problem-solving work and rationales teachers provided for these scores which may reflect teachers' values relative to aspects of mathematical problem solving. Concludes that when teachers can express rationales for scoring students' work, they are able to justify their evaluation of…

Reviews two programs: (1) "The Weather Machine" on understanding weather and weather forecasting and (2) "The Mystery of the Hotel Victoria" on problem solving in mathematics. Presents the descriptions, advantages, and weaknesses of the software. (YP)

Discusses how actual or planned travel experiences can form the basis for constructing realistic, challenging, and interesting problem-solving tasks for classroom use. Provides examples of how teachers and students can create travel problems for use in the classroom. The travel-problem concept is adaptable to any elementary, secondary, or…

The article seeks to illustrate that calculators and problem solving complement each other perfectly. (MK)

Teaching which does not in any significant way address the genesis of mathematical ideas hides the fact that mathematics is created by people; that it involves intuition, exploring, conjecturing, and reasoning; and that it is purposeful. Such teaching can give students appearance that much of mathematics is very arbitrary; it just falls from the…

Describes knowledge for teachers as curriculum designers and a framework for interdisciplinary unit development. Includes an example of the framework in action. (Author/MM)