Some activities involving distances and diameters in the solar system are discussed. (MP)

Six versions of the card game "Concentration" are described using cards from a teacher-made deck. (MP)

An experiment is described which started with exploratory interviews, evolved to design and administration of diagnostic tests, and led to the preparation and use of calculator-enriched teaching materials. (MP)

Pumpkin seeds are counted after students convert pumpkins to jack-o-lanterns. Among the activities involved, pupils learn to count by 10s, make estimates, and to construct a visual representation of 1,000. (MP)

The results of exercises related to fractions on the National Assessment of Educational Progress (NAEP) for 9- and 13-year-olds are reported. This discussion is followed by suggestions on ways to help students be more successful when adding fractions. (MP)

The author describes the areas in the kindergarten classroom--blocks, toys, cooking, games, job charts--which can be used in furthering a child's developing mathematical skills. (KC)

The article describes the process of teaching abacus to moderately retarded blind students as a means of developing concepts of numbers, addition and subtraction, and money values. (Author)

Examines bar models as graphical representations of rational numbers and presents related real life problems. Concludes that, through pairing the fraction bars with ratio tables and other ways of teaching numbers, numeric strategies become connected with visual strategies that allow students with diverse ways of thinking to share their…

Four experiments evaluated flash card use for teaching number facts to elementary-school students with learning difficulties. Effective treatments involved: re-presenting a missed problem after the next item; using error-contingent reprimands; seating the tutor and student knee-to-knee, rather than with a desk between them; and a combination of…

Discussed is an application of number theory to cryptology that can be used with secondary school students. Background on the topics is given first, followed by an explanation for use of the topic. (MNS)

English-as-a-Second-Language data show number and person play a role in establishing cognitive continuity of textual occurrences. In such cases, number/person errors are global, affecting text comprehension. Global grammar proposed here can present language features that are to be learned in contexts that render those features cognitively and…

Postulated here is the notion that the exploration of number patterns with calculators is a valuable mathematical learning activity that should be commenced in the primary grades. Various activities are presented that make use of the constant function key, which is available on many of the inexpensive four-function calculators. (JJK)

This article argues that the reason the mathematics performance of students with mild disabilities is so limited is the mathematics. Using illustrations from subtraction, the article proposes number sense be a primary goal and that within the realm of number sense, big ideas be included among the dependent variables. (Contains references.)…

This paper reports the results of an exploratory study of the perceptions of and approaches to mathematical proof of undergraduates enrolled in lecture-based and problem-based "transition to proof" courses. While the students in the lecture-based course demonstrated conceptions of proof that reflect those reported in the research literature as…

In math classes, teachers often focus instruction on the formulas and processes needed to solve different types of problems, but neglect to teach the concepts on which these tools are based. In this article, the author argues that before they can do this, teachers themselves need to understand "understanding math." Teaching mathematics with…