Making broadcast television participative: Eliciting mathematical behavior throughSquare One TV

The current reform movement in mathematics education has called for new ways of teaching that encourage children to become active participants in mathematical problem solving. In this article, the potential of educational television to elicit such behavior is investigated by reviewing research on theSquare One TV television series. A sizable body of evidence indicates that, through viewer participation,Square One TV can promote mathematical behavior directly among its target audience of 8- to 12-year-olds. Described in the article are the types of viewer participation that have been observed, threeSquare One TV formats that have consistently been found to elicit participative behavior, and several characteristics of these formats that may have been responsible for increased viewer participation. If these characteristics are incorporated into future television-based materials, they may increase the potential of the materials to elicit active participation among viewers. The production ofSquare One TV and the research described here were supported by the National Science Foundation, the Corporation for Public Broadcasting, the Carnegie Corporation, and the U.S. Department of Education. Production of the first season was also supported by the Andrew W. Mellon Foundation and by the IBM Corporation. Additional funding for the fourth and fifth seasons was provided by the Intel Corporation. This article is based on a paper presented at the 1993 meeting of the American Educational Research Association in Atlanta, Georgia.     

Infant search and object permanence: a meta-analysis of the A-not-B error

Research on Piaget's stage 4 object concept has failed to reveal a clear or consistent pattern of results. Piaget found that 8-12-month-old infants would make perserverative errors; his explanation for this phenomenon was that the infant's concept of the object was contextually dependent on his or her actions. Some studies designed to test Piaget's explanation have replicated Piaget's basic finding, yet many have found no preference for the A location or the B location or an actual preference for the B location. More recently, researchers have attempted to uncover the causes for these results concerning the A-not-B error. Again, however, different studies have yielded different results, and qualitative reviews have failed to yield a consistent explanation for the results of the individual studies. This state of affairs suggests that the phenomenon may simply be too complex to be captured by individual studies varying 1 factor at a time and by reviews based on similar qualitative considerations. Therefore, the current investigation undertook a meta-analysis, a synthesis capturing the quantitative information across the now sizable number of studies. We entered several important factors into the meta-analysis, including the effects of age, the number of A trials, the length of delay between hiding and search, the number of locations, the distances between locations, and the distinctive visual properties of the hiding arrays. Of these, the analysis consistently indicated that age, delay, and number of hiding locations strongly influence infants' search. The pattern of specific findings also yielded new information about infant search. A general characterization of the results is that, at every age, both above-chance and below-chance performance was observed. That is, at each age at least 1 combination of delay and number of locations yielded above-chance A-not-B errors or significant perseverative search. At the same time, at each age at least 1 alternative combination of delay and number of locations yielded below-chance errors and significant above-chance correct performance, that is, significantly accurate search. These 2 findings, appropriately elaborated, allow us to evaluate all extant theories of stage 4 infant search. When this is done, all these extant accounts prove to be incorrect. That is, they are incommensurate with one aspect or another of the pooled findings in the meta-analysis. Therefore, we end by proposing a new account that is consistent with the entire data set.     

Differential Item Functioning Resulting From The Use of Different Solution Strategies

The present study investigates the degree to which item "bias" techniques can lead to interpretable results when groups are defined in terms of specified differences in the cognitive processes involved in students' problem-solving strategies. A large group of junior high school students who took a test on subtraction of fractions was divided into two subgroups judged by the rule-space model to be using different problem-solving strategies. It was confirmed by use of Mantel-Haenszel (MH) statistics that these subgroups showed different performances on items with different underlying cognitive tasks. We note that, in our case, we are far from faulting items that show differential item functioning (D1F) between two groups defined in terms of different solution strategies. Indeed, they are "desirable" items, as explained in the discussion section     

Evaluating college campus closings for the 1980s: A case application of an optimization model

Institutional administrators, faculty, state planners, and legislatures have little analytical basis available to help them cope with the expected excess higher education capacity of the 1980s. Without objective criteria, state planners and legislatures are likely to propose across-the-board reductions even if it were preferable to close some institutions and expand others. This study is a case application of an optimization model to two community colleges in northern Minnesota. Using estimated enrollment demand functions and readily available data on size, quality, and costs, this model is designed to assist policymakers in identifying overbuilt institutions and programs that should be closed. The state's objective in the model is to satisfy specified proportions of enrollment demand with a minimum expenditure of state funds.     

Reward and ideational fluency in preschool children

This study examined the effects of rewards on the ideational fluency of 75 preschool children. Assigned to a reward or nonreward condition, the children were administered two ideational fluency tasks, Unusual Uses and Pattern Meanings. Analyses revealed a significant main effect for reward on the ideational fluency components of originality, total fluency, and flexibility. In all cases the rewarded subjects scored lower than the nonrewarded group. These findings support the growing body of evidence that rewards are detrimental to creative functioning.     

Comparing Union and Nonunion Staff Perceptions of the Higher Education Work Environment

Evidence of substantial growth in unionization among university noninstructional staff over the past 20 years (Hurd and Woodhead, 1987) and the emergence of a quality movement in higher education linking employee attitudes toward the work environment with increased productivity point to the need for additional research into union and nonunion staff perceptions of the work environment. This paper describes a conceptually oriented, exploratory study of the university work environment as perceived and defined by union and nonunion noninstructional staff.     

A COMPARISON OF THE RELIABILITY AND VALIDITY OF TWO METHODS FOR ASSESSING PARTIAL KNOWLEDGE ON A MULTIPLE-CHOICE TEST

Differential weighting of response alternatives and confidence testing have been proposed as ways to assess partial knowledge on multiple-choice tests. 211 students in an educational measurement course took their midterm examination under one of three procedures. Results from those students administered the test under conventional directions provided a baseline for comparing, in terms of reliability and validity, the results from students who took the test under the differential weighting of response alternatives or the confidence testing instructions. Reliability was estimated by the split-half technique. Validity was estimated by correlating midterm test scores with scores on a final examination. This investigation provides some support for the contention that validity can be improved using more sophisticated testing techniques. Suggestions for the conduct of more definitive studies were offered.