The 26 activities described in this volume deal with a wide variety of mathematical ideas. Most of the activities are appropriate for grades 6-9; many could be used with older or younger groups as well. All activities are described in detail; some descriptions include sample worksheets, and several provide suggestions for followup activities. The…

The concept of pi is one of great importance to all developed civilization and one that can be explored and mastered by elementary students through an inductive and problem-solving approach. Such an approach is outlined and discussed. The approach involves the following biblical quotation: "And he made a moltin sea ten cubits from one brim to the…

This paper offers a brief description of the Taiwanese elementary school system. It also outlines the current teacher training system, emphasizing the differences between the old "Normal Education Art" and the new "Teacher Education Art". One section describes the three major reforms that Taiwan's mathematics curriculum has undergone in the last…

In a complex sampling scheme it is desirable to select the primary sampling units (PSUs) without replacement to prevent duplications in the sample. Since the estimation of the sampling variances is more complicated when the PSUs are selected without replacement, L. Kish (1965) recommends that the variance be calculated using the formulas…

A comparison was made of a programed instruction (PI) text, which had been developed following a systems model, with a comparable computer-assisted instruction (CAI) version of the same material. The text was designed to teach the mathematical concept of significant figures to eighth graders. The PI text consisted of 52 linear frames. The CAI…

Computer programing should not be confused with programed instruction (PI) or computer-assisted instruction (CAI). PI and CAI are processes that demand that the student assume a passive and docile role, whereas, programing is an active, dynamic process in which the student is required to instruct the computer how to perform certain basic…

In order to compose equivalent certification tests in the basic skills in reading, mathematics calculations and applications, and writing for high school graduation requirements, the San Jose Unified School District, California, used the Rasch computer program to arrive at the scaled difficulty level of test items. The procedure for achieving a…

The objective of this research is to validate the algorithm of learning effort which is an indicator of a new real-time and non-interfering based diagnostic technique. IC3 Mentor, the adaptive e-learning platform fulfilling the requirements of intelligent tutor system, was applied to 165 university students. The learning records of the subjects…

Cooperative groups were given transparencies of eight regular inscribed polygons and overlays of corresponding circumscribed polygons and were asked to find the perimeters and ratios of perimeter to diameter. Transparencies give students a graphic illustration of limits. Includes reproducible worksheet. (NI)

The Student Merit Award Program was designed to motivate, stimulate and reward students for their study and achievement outside the mathematics classroom by providing enrichment material on a variety of mathematical topics. In general, these topics are either not found in the standard middle school curriculum or represent a more in-depth study of…

A key to continuing occupational segregation by sex is seen to lie in "math avoidance" by women students. Borrowing from the insights of affective education, innovators have developed "reentry mathematics" courses which turn to self-conditioning, the attitudes, the psychological mindset, and the self-defeating behaviors of those with "math…

Many of the suggestions that calculus instructors have published as articles from 1908 through 1973 are included in this book of readings. The main criterion for selecting an item was whether it would be helpful to teachers and students; therefore, those which dealt exclusively with curricular structure were not included. The selected articles are…

This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…

The study was designed to support teachers on conceptualizing their understanding of students' learning by the use of assessment tasks. A school-based assessment team consisting of the researcher and four third-grade teachers teaching in the same school was set up as a learning context of supporting teachers in developing assessment tasks integral…

This monograph presents geometric activities designed to foster curiosity and inquiry on the part of both students and teachers as they explore geometric ideas for 0 to 3 dimensions. Activities can be used in whole class presentation, small groups, or individual study. Grade levels span K-8. Suggested questions promote communication and sharing,…