Following the Template: Transferring Modeling Skills to Nonstandard Problems

This study seeks to analyze how students apply a mathematical modeling skill that was previously learned by solving standard word problems to the solution of word problems with nonstandard contexts. During the course of an experiment involving 106 freshmen, we assessed how well they were able to transfer the mathematical modeling skill that is used to solve standard problems to the solution of nonstandard ones that had an analogous structure. The results of our research show that students had varying degrees of success applying the different stages of modeling depending on whether they were solving a familiar problem (involving near transfer) or one that had an unfamiliar context (involving far transfer): in cases of near transfer, students applied the template formally even though it did not align with the text of the new word problem, which complicated further interpretation. In cases of far transfer, students chose to solve the problem by using an ordinary method of selecting a solution by trial and error in preference to the use of modeling. Thus, the application of the modeling skill as a multistage process is complicated when solving nonstandard problems involving either near or far transfer.     

Children's internal organization of locative categories

4 locative categories were investigated to determine whether their examples were organized according to the prototype/nonprototype distinction. A ranking task was presented to 30 adult subjects to see whether they would judge those instances which had been designated as prototypes by the experimenter to be the best exemplars of each category. An elicited-drawing task was administered to see whether there was a preference for drawing adult-designated prototypical instances. A matching task was presented to determine whether fewer errors would occur in response to adult-designated prototypical instances. The latter 2 tasks were presented to 4-year-olds, 6-year-olds, and adults, with 17 subjects in each group. The results provide strong evidence of prototype/nonprototype organization in 3 of the locative categories and weak evidence in the fourth. Tentative conclusions regarding the development of such organization are drawn.     

Connectedness among taiwanese middle school students: a validation study of the hemingway measure of adolescent connectedness

Theories of adolescent connectedness suggest that adolescents strive to become connected by engaging with and valuing the people, activities, and worlds in their social ecology. The purpose of this study was to examine the psychometric properties of a measure designed to assess these worlds of connectedness among 320 junior high school students in Taiwan. The subscales and composite scales evidenced satisfactory reliability and concurrent validity. A hypothesized three-factor, higher order structural model of connectedness was cross-validated. Girls were generally more connected than boys. Both connectedness to school and to friends explained more variance in connectedness to self than did family connectedness. There was mixed support for separation-individuation processes. The measure appears promising in terms of future research on adolescent social development in the Asia Pacific.     

Parameters in television captioning for deaf and hard-of-hearing adults: effects of caption rate versus text reduction on comprehension

Caption rate and text reduction are factors that appear to affect the comprehension of captions by people who are deaf or hard of hearing. These 2 factors are confounded in everyday captioning; rate (in words per minute) is slowed by text reduction. In this study, caption rate and text reduction were manipulated independently in 2 experiments to assess any differential effects and possible benefits for comprehension by deaf and hard-of-hearing adults. Volunteers for the study included adults with a range of reading levels, self-reported hearing status, and different communication and language preferences. Results indicate that caption rate (at 130, 180, 230 words per minute) and text reduction (at 84%, 92%, and 100% original text) have different effects for different adult users, depending on hearing status, age, and reading level. In particular, reading level emerges as a dominant factor: more proficient readers show better comprehension than poor readers and are better able to benefit from caption rate and, to some extent, text reduction modifications.