Specific strategies and examples for teaching mathematical computation skills are presented as samples of ways to teach starting with the concrete and ending with the abstract. (JMF)

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…

Contains 10 miscellaneous mathematics questions and their answers that teachers can use in their lessons. Topics include estimation, prime numbers, line equations, and investment strategies. (ASK)

Focuses on the major cues processed in Hungarian in order to distinguish subjects and objects in transitive clauses: subject-verb and object-verb agreement-marking; case-marking; animacy; and word order. The research reveals that double agreement-marking in Hungarian exists even in week agreement situations, a testimony to the diachronic tenacity…

Presents five articles addressing numbers and math instruction for young children: "Math Talk with Young Children: One Parent's Experience" (Fred E. Gross); "How Children Build Their Understanding of Numbers" (David Elkind); "Early Math: It's More than Numbers" (Ann S. Epstein); "Assessing Mathematical Learning: Observing and Listening to…

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Investigates the development of understanding of multiplication from the early school years through to the top primary age group. Identifies the children's difficulties and analyzes their solution strategies. Reports that progressive abstraction is related to the children's developing understanding of number and to their procedures for addition.…

Identifies four causes of confusion in reading mathematics related to numbers, symbols and sentences, vocabulary, and directionality. Discusses techniques for overcoming each type of the confusion. (YP)

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 are number meaning and part-whole relationships concerning place value. Findings from a research study with students in grades two-five who were interviewed about place-value tasks are given. Stages of interpreting two-digit numbers are presented, with implications for the classroom. (MNS)

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)

This study assessed the extent to which procedurally proficient children (N=34) construct the part/whole logical structure that underlies the borrowing algorithm in subtraction. Results indicate that an understanding of the part/whole logic of number may be necessary to understand place value and borrowing. (TJH)

A problem-solving approach is developed for secondary or college students to estimate the number of piano tuners in a large city. The answer and method are analyzed for appropriateness. Four similar problems are suggested. (DC)

Patterns and relationships are shown between the Pythagorean theorem, Fibonacci sequences, and the golden ratio. Historical references also include the works of Euclid and Euler. These unexpected relationships can be used to motivate secondary students. (DC)