Described are some designs in the playground of an infant school, and indicated are some mathematical activities that resulted from their use. Games included are Schlegel diagram of Dodecahedron, Pong Hau K'i, Ko No, Achi, Draughts, and Star with their diagrams. (YP)

Provides some significant figure rules used in chemistry including the general theoretical basis; logarithms and antilogarithms; exponentiation (with exactly known exponents); sines and cosines; and the extreme value rule. (YP)

Outlines infants' and preschoolers' implicit protoquantitative reasoning schemas and shows how these combine with early counting knowledge to produce mathematical concepts of number. Reviews research on elementary school children's informal and invented arithmetic, and evaluates implications for mathematics education. (Author/BJV)

Discusses making tessellations by using a polyomino. Illustrates the various ways for various shapes of polyomino. Provides several diagrams and instructional guides. (YP)

Presents a case study of one preschooler's mathematical attitudes and strategies, along with a discussion of how the child's mother influenced and guided the preschooler's actions. Bedtime story reading and everyday gamelike activities are shown to be sources of natural mathematics in this particular home, where the mother is aware of and acts to…

Examines four major elements of a strong mathematics program (tracking, curriculum, student needs, and articulation), interpreting them as they pertain to community colleges. Discusses the role of two-year colleges in the mathematical preparation of future elementary school teachers and provides sample workplace-oriented math problems. (MAB)

Presents the use of manipulatives in the three stages of concept learning called concrete, bridging, and symbolic. Examines the three stages in developing the concept of rounding two-digit numbers. (MDH)

Addresses NCTM recommendations regarding nonroutine problem solving. Illustrates general approaches, teacher discourse, and aims of problem solving via three nonroutine problems. Compares expert and novice approaches to problem solving and applies procedures endorsed by Polya regarding problem-solving strategies. Includes nine additional…

The concept of fractional number was studied with 10- to 12-year-old and 13- to 16-year-old students who were deaf and hard of hearing (n=21) and comparison groups of hearing students (n=26). The deaf and hard-of-hearing students achieved similarly to younger hearing students in overall performance by fraction type and problem solving strategies.…

This review of the Peabody Individual Achievement Test--Revised (often used with learning-disabled students) notes the addition of a Written Expression subtest, replacement of most items to reflect current curricular content, and use of updated norms. The test also measures: general information, reading recognition, reading comprehension,…

Discussed is a method of approximating the roots of a quadratic that allows the discovery of relationships between parabolas and circles and between the use of geometry and algebra. Included are the procedure and justification of the method. (KR)

Discussed is the type of evidence children find to be convincing using either empirical or deductive methods to justify propositions which they consider to be true. Included are the problem, research design, and the conclusion. (KR)

The purpose of this study was to determine how well high school chemistry students can do the basic mathematical operations needed in chemistry and to compare these student abilities to teacher expectations. (CW)

Four ways of using curriculum-based measurement (CBM) in instructional decision making and monitoring of mathematics operational skills are described. These are evaluating progress and determining modifications; targeting skills for instruction; judging the adequacy of end-of-year goals; and determining effectiveness of different interventions.…

Describes how an eight year old devised a part-whole schema during a school mathematics process involving the development of a geometric model to conceptualize fractions. Provides examples that utilize this schema in dealing with the relative size of fractions, as well as addition and subtraction, multiplication, and division of fractions.…