This study investigated the effects of a series of mathematics lessons which were designed to encourage a spatial mode of thinking. Using fifth-grade students from four intact classrooms, a pretest and posttest battery composed of spatial tests, reasoning tests, and a problem-solving test, were administered to the experimental and two control…

An interim report from the National Science Foundation describes the FUNCTIONS program--an ongoing effort to teach problem solving and mathematics by computer. Two problems are discussed: How can math content be taught in a manner which also develops problem solving skills? Also, how does a curriculum organized to develop problem solving skills…

Reviews following computer materials: Coordinate Math; How the West Was One + Three x Four; Math Facts Lottery, Basic Skills Game; Math Tutor, Division; Now You See It, Now You Don't; Pinball Math, Basic Skills Game; Place Value-Add/Subtract; Quarter Mile; Regrouping; Sailing through Story Problems; Scope Math, Computer Mathematics Course for…

Describes a mathematical investigation of gold--how it is weighed, stored, used, and valued. For grades 3-4, children estimate the value of treasure chests filled with gold coins and explore the size and weight of gold bars. Children in grades 5-6 explore how gold is mined and used, and how the value of gold changes over time. (PVD)

Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)

Solves the problem of the reproduction of rabbit pairs utilizing the Fibonacci sequence. Examines modified versions of the problem, and presents a vignette of one modification based on the author's experience in using the approach with preservice middle school teachers. Extends the approach to other related problems. (MDH)

Discusses how nonparametric statistical procedures can be applied to the scoring of cross-country running races. Asserts that this type of example in statistics is appropriate for the upper-secondary school and lower-division college levels. (MDH)

"Gedankensimulation" is a term adapted from Einstein's "thought experiments" to indicate mentally created simulations that can help conceptualize ideas. Presents seven examples of simulations that can be utilized to solve problems or illustrate concepts in probability and statistics. Problem contexts include games of chance,…

Presents an alternative to traditional story-problem instruction in which students write their own mathematics stories about familiar situations involving problems that can be resolved with the aid of mathematics. Provides excerpts from a typical class discussion to resolve the problem. (16 references) (MDH)

Discussed is the importance of students being able to read and understand mathematics. The need for students to practice reading mathematics is emphasized. Discussions and homework are presented as examples of this needed practice. (KR)

Discusses the role of teacher questioning in the development of a child's concepts of and about mathematics. Proposes the development of mathematical concepts and procedures in problem-solving situations through questioning that engages student thinking and decision making. (MDH)

The idea that studying part-whole number relationships can foster a better understanding of number concepts, addition, subtraction, fractions, decimals, ratios, and percentages depending on the age of the student is discussed. Activities that incorporate number relationships and representations are presented. (KR)

Describes four methods to structure estimation activities that enable students to make connections between their understanding of numbers and extensions of those concepts to estimating. Presents activities that connect estimation with other curricular areas, other mathematical topics, and real-world applications. (MDH)

Describes seven number-sense skills for elementary and middle school grades. Provides eight short stories for grades three through eight designed to develop students' number-sense skills in which students replace missing data so that the story makes sense. (MDH)

A Navajo blanket design was constructed on a bulletin board and on geoboards. Then a program was written in LOGO to construct the pattern. Both top-down and bottom-up techniques were used. Students were encouraged to make their programs more efficient by utilizing repeat and subprocedures. (GW)