Connecting visual and analytic reasoning to improve students' spatial visualization abilities: A constructivist approach

Current reform initiatives recommend that school geometry teaching and learning include the study of three-dimensional geometric objects and provide students with opportunities to use spatial abilities in mathematical tasks. Two ways of using Geometer's Sketchpad (GSP), a dynamic and interactive computer program, in conjunction with manipulatives enable students to investigate and explore geometric concepts, especially when used in a constructivist setting. Research on spatial abilities has focused on visual reasoning to improve visualization skills. This dissertation investigated the hypothesis that connecting visual and analytic reasoning may better improve students' spatial visualization abilities as compared to instruction that makes little or no use of the connection of the two. Data were collected using the Purdue Spatial Visualization Tests (PSVT) administered as a pretest and posttest to a control and two experimental groups. Sixty-four 10th grade students in three geometry classrooms participated in the study during 6 weeks. Research questions were answered using statistical procedures. An analysis of covariance was used for a quantitative analysis, whereas a description of students' visual-analytic processing strategies was presented using qualitative methods. The quantitative results indicated that there were significant differences in gender, but not in the group factor. However, when analyzing a sub sample of 33 participants with pretest scores below the 50th percentile, males in one of the experimental groups significantly benefited from the treatment. A review of previous research also indicated that students with low visualization skills benefited more than those with higher visualization skills. The qualitative results showed that girls were more sophisticated in their visual-analytic processing strategies to solve three-dimensional tasks. It is recommended that the teaching and learning of spatial visualization start in the middle school, prior to students' more rigorous mathematics exposure in high school. A duration longer than 6 weeks for treatments in similar future research studies is also recommended.

Reaching an Underserved Wine Customer: Connecting with the African American Wine Consumer

Marketing strategies addressing underserved African American wine customers’ needs that also positively impact producers’ and retailers’ clientele was the impetus for this exploratory, qualitative paper. African Americans demonstrate a thirst to elevate their education about and be more involved in the wine industry as evidenced by the proliferation of African American wine-tasting groups designed to help educate and expose their membership to a variety of wines. Moreover, compared to the average adult, African-American wine drinkers are 241% more likely to have spent $20 or more on a bottle of store bought wine (Arbitron, 2005). Despite African Americans’ representation as one of the fastest growing ethnic minority segments in the U.S., wine industry strategies don't appear to connect with this market segment. Like Alice in Wonderland, we characterize this phenomenon by suggesting this market segment is ‘peering through the looking glass’. Three focus groups were conducted to specify possible targeted media strategies as well as to identify attitudes and opinions that influence this segment's wine purchasing and consumption behaviors. Industry strategies were suggested that would appear to benefit producers, retailers, and this customer segment. The results of the research will be used to inform a quantitative instrument in order to generalize findings beyond the context of the exploratory setting.