Mathematics currucula for gifted and talented elementary children should not be restricted to computation but should emphasize problem solving with additional attention to such aspects as geometry and measurement, arithmetic and algebra concepts, and computer programing. A brief list of suggested materials for the areas of instruction is provided.…

Describes an activity for children of any age to develop spatial sense and explore the effects of transforming, combining, subdividing, and changing geometric figures. Students analyze empty cereal boxes opened flat to determine the specific shape, how it opens and closes, to check maps or sketches against the actual geometry of the box, and write…

Compares the results of a whole-class test on mental computation problems given to fifth graders who had been in a reform-based mathematics curriculum with those of students in a traditional mathematics curriculum. Reports that the students in the reform-based program performed much higher than the comparison group on all but one problem. (16…

Discusses public indifference and student ignorance toward mathematics in the U.S. Presents a basic core of mathematics knowledge that everyone should know. (KHR)

Proposes that the main function of proof in the mathematics classroom is to promote understanding. Argues that the most important challenge to mathematics educators is to find more effective ways to use proof in teaching. (52 references) (MKR)

Presents a talk given at the 8th Annual University of California School Mathematics Project (UCSMP) Secondary Conference in November 1992. Describes the authors' views about the necessary changes that should be made in the second edition of the National Council of Teachers of Mathematics (NCTM) Standards. (ASK)

Focuses on the issues of the course advice given to secondary students who were intending to study one of the more demanding mathematics subjects in year 12. Concludes that all students would benefit from studying as much mathematics as they are capable of in terms of the problem-solving skills they would acquire and future course and career…

Surveys texts of grades 6 through 9 and makes quantitative and qualitative analyses of the instructional emphasis on selected concatenations in written mathematics. Indicates much curricular emphasis on unsigned (without negative signs) numeral forms and integers as compared to minimal curricular emphasis on signed (with negative signs) fraction,…

Discusses the importance of providing concrete examples of successful activities and assignments in designing a mathematics course for a general audience. Presents a course entitled The Language of Mathematics. (ASK)

Discusses the necessary characteristics of an introductory college-mathematics curriculum for improving mathematics education at the college level. (ASK)

Describes aspects of developing the draft and final versions of "Principle and Standards for School Mathematics". Offers thoughts as to how "Principles and Standards" might be used in continuing the improvement of mathematics education. (ASK)

Discusses three misapplications of progressive thinking that have damaged the quality of mathematics learning in British schools: individualized learning, spiral curriculum, and applications of mathematics. (MKR)

Discusses a simple procedure for determining our exact location on Earth based on the motion of celestial bodies and latitude and longitude. This hands-on activity requires students to design and construct an apparatus that will produce accurate measurements. The materials required are a knitting needle, a tape measure, and a sunny day. (AIM)

These remarks are adapted from the Presidential Address at the National Council of Teachers of Mathematics in April 1996. The common goal of improving mathematics education for all is stated, and the importance of connecting mathematics to real-life situations is discussed. (AIM)