Describes a Calculus I project in which students discover the formula for the derivative of an exponential function. The project includes two targeted writing assignments and leads to several additional problems. Together these tasks provide a basis for an algebraic approach to the exponential function. (AIM)

Investigated were Australian and Papua New Guinean elementary school children's strategies and errors on arithmetic word problems. Reports that (1) the two samples showed similar strategies and similar errors and (2) the main variable determining difficulty was the semantic structure of the questions. (YP)

Argues that the vast majority of adults have no use for the specialized mathematics taught in high schools and required by colleges--algebra, geometry, or calculus. Suggests that colleges should accept applicants who have studied percents, formulas, logic, computer commands, and basic statistics. (TE)

Outlined is the "nine complements" method of subtraction. This activity was used by students to generate proofs that explained why the subtraction method worked. Reasoning and inquiry skills are emphasized. Other examples are offered that have been successful in stimulating inquiry. (KR)

Discusses the use of function graphers for teaching some mathematical concepts, including roots of a function; system of equations; inequality; relative extreme of function; trigonometric identities; limit of function; and convergent/divergent of sequence. (YP)

Describes study that investigated the effect of learning Logo on middle school students' understanding of specific mathematical concepts and on their level of cognitive development. Treatments for the experimental and control groups are outlined, hypotheses tested are explained, and pretests and posttests are described. (22 references) (Author/LRW)

Used are test and interview data to extract evidence as to what level tenth graders have coordinated the worlds of arithmetic and algebra and can move freely between them. More dissociation is shown than was expected. (Author/MVL)

Describes four mathematics teachers' classroom discussions with small groups in their first year secondary (11-12 years old) classrooms. Analyzes interview results from one student in each group. Topic of the classroom was division of fractions. (YP)

This paper describes a computer simulation of Buffon's needle problem. The problem considers the probability that a needle will cross a line when the needle is thrown in a random way onto the parallel lines a certain distance apart. The paper provides the algorithm and computer program. (YP)

This article examines the level of understanding by children (six- to seven-year-olds) of the addition and equality symbols. The article reports that about half of the subjects were unable to write the mathematical expression of simple addition while they were able to do it verbally. (YP)

This article discusses the classroom use of discovery of number pattern. Provided are examples of a table of squares, multiplications of numbers, and algebraic expressions. (YP)

Describes an art project that relates a fifth grade arithmetic lesson with a drawing assignment. Students first learned to enlarge a drawing on a grid, and then were given a segment of a cut-up reproduction of a Picasso painting and asked to enlarge and duplicate their portion. Completed pieces were combined for the final product. (LS)

Compares the development of two students' understanding of addition and subtraction. One student's understanding is based on memorized rules and the other's on understanding the concept of place value. Discusses the effects of different goals for instruction and the importance of understanding place value. (MDH)

This study investigated technical features of a curriculum-based measurement (CBM) system that addresses a concepts and applications mathematics curriculum. Six elementary educators implemented the concepts/applications CBM system, along with a computation CBM system, with 140 students, including 12 with learning disabilities. The system indexed…

Demonstrates the use of "Jumping the Broom," a children's book, to integrate mathematics and social studies. Discusses the use of problem solving, finding patterns, and making conjectures by studying the quilt pattern used in the story. (MKR)