Examines the use of a ratio table for developing students' conceptual understanding of rational number. The ratio table is an alternative to cross-multiplication and can utilize both additive and multiplicative strategies. It organizes numbers and keeps track of operations and results, which aids the teacher in assessment. (MLB)

Examines how differences in teaching practices in middle school mathematics classrooms diminish black students' opportunities to understand, communicate, and apply mathematical ideas. A pedagogical framework of responsive mathematics instruction for black male students is described. (GR)

Reports (n=16) preservice science and mathematics teachers' findings and reflections from an assignment to conduct case studies of workers from a variety of settings to investigate the knowledge and skills necessary for high school graduates to be successful in the present-day workplace. (Author/MKR)

Presented are practical methods exemplifying principles of assessment that involve minimal disruption of the instructional process and not impose additional work on the teacher. Informal assessment methods include annotated class lists and student work folios. Formal assessment methods include practical tests, student-constructed tests, and…

Investigates issues of conceptual understanding in teaching and learning mathematics provided conceptually based instruction on place value and two-digit addition and subtraction without regrouping in four first grade classrooms. Conventional textbook-based instruction was provided in two first grade classrooms. Experimental-group students scored…

Presented are two reasons discouraging computer symbol manipulation systems use in school mathematics at present: cost for computer laboratories or expensive pocket computers; and impracticality of exact solution representations. Although development with this technology in mathematics education advances, graphing calculators are recommended to…

Exponential growth is examined through an example describing the number pattern formed by postage stamp issuance. Number tables and graphs are used to discover the functional relationship between the number of new stamps issued and time. (MDH)

Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)

Twenty-three senior high school special education students were trained in the use of either a teacher-directed graphic advance organizer or a student/teacher-shared graphic advance organizer. Results revealed that the use of either type of advance organizer generated higher quiz scores in mathematics and science. (Author/JDD)

Presents three teaching ideas involving (1) results of participation in the annual American Statistical Association's poster contest for students in grades K-12; (2) a variation on an annuity problem in which the contribution each year is increased by a given percentage; and (3) concrete activities to help students understand the meaning of radian…

Presents five activities for the family and K-2, 4-3, 5-6, and 7-8 levels that focus on the connection between mathematics and music. Activities examine the mathematical concepts of counting, estimation, measurement, statistics, fractions, and patterns involved in the topics of rhythm, beats in a measure, music preference, the music scale, and…

Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)

Three middle school teachers of mainstreamed students with mild disabilities used a computer networking system to check student understanding of math concepts. Results indicated that, with coaching on how to use the data generated by the system, teachers increased the amount of time spent on active teaching and providing feedback. (Author/JDD)

Describes pedagogical content knowledge model. Uses interviews and observation to examine development of pedagogical content knowledge of two student teachers in a one-year elementary teacher education program. Concludes student-teacher success requires supervisors' understanding and support. (TES)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…