The trick focuses on a theorem that the sum of the digits of the difference between any natural number and the sum of its digits is divisible by nine. Two conditions of using the trick are noted. The reason that the theorem works is established through a proof. (MP)

Some functions on digits of positive integers are presented as possible sources for useful investigations by students, particularly through the use of calculators and computers or in the writing of small proofs. The material is designed to encourage students to conduct their own investigations. (MP)

Utilizes 42 second-grade rural students to determine if using multiembodiments rather than a single embodiment of concepts related to three-digit numbers would result in greater understanding of selected place value concepts. Reveals no significant differences on the group main effect or group-by-time interactions. (AH)

Reviews an elementary school mathematics computer program (Applesoft Basic) focusing on whole numbers. Discusses lessons (with built-in tutorials), tutorials, games, management disk; and documentation which presupposes no prior knowledge of computers. Indicates that the program is of excellent quality and although expensive, a demonstration disk…

Explorations of problems involving the zero power are presented as routes through which instructors can take their students to reduce pupil uneasiness with the concept. Initial examination begins with routines for calculators, and discussion proceeds to more formal mathematics to generate more support for the definition of zero power. (MP)

Some easy-to-state number properties are suggested as the subjects of proofs that are readily understood and interesting to pupils. (MP)

The use of graph paper to outline arrays of multidigit multiplication problems is promoted. (MP)

The need to establish links between what is currently being taught and earlier work, later work, other topics, and other subjects is promoted. Links between number inverse and symmetry are described. (MP)

The Concept Game, which focuses on the attributes of parity, balance, majority, closure, and skip of seven-digit binary numbers, is described. Originally written as a computer program, the game is modified so that pupils can play with construction paper chips of just paper and pencil. (MP)

Students recognized as less successful individuals in mathematics are tested for their understanding of fractions. The data reveals that most were only able to apply remembered rules to problems without actually knowing if the rule worked for the given situation. (MP)

Results of the second mathematics assessment of the National Assessment of Educational Progress (NAEP) indicate how 9-year-olds handled decimals prior to much formal instruction, and give insight into areas of difficulty for 13-year-olds who have received instruction. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results…

Two studies indicate that Oksapmin children progress from premediational to mediational phases in their use of body parts to compare and reproduce number and that this change generally occurs prior to the development of concepts of number conservation. A third study shows that this general change is manifested in culturally specific ways.…

A game designed to introduce aspects of coordinate geometry is reviewed. This game situation can be used to improve intellectual development with: the concept of mapping, the objectivation of operation systems, the verification of hypotheses, and organization principles. (MP)

Described are activities using paper plates with dots drawn on them which place a heavy emphasis on matching and ordering sets, on developing mental images of sets, and on perceiving sets of a certain size as composed of smaller subsets. Also suggested are activities involving numerals. (Author/TG)

The use of folding paper strips as a mathematical model in the instruction of operations with fractions is presented. (MP)