Teachers’ perspectives on “authentic mathematics” and the two-column proof form

We investigate experienced high school geometry teachers’ perspectives on “authentic mathematics” and the much-criticized two-column proof form. A videotaped episode was shown to 26 teachers gathered in five focus groups. In the episode, a teacher allows a student doing a proof to assume a statement is true without immediately justifying it, provided he return to complete the argument later. Prompted by this episode, the teachers in our focus groups revealed two apparently contradictory dispositions regarding the use of the two-column proof form in the classroom. For some, the two-column form is understood to prohibit a move like that shown in the video. But for others, the form is seen as a resource enabling such a move. These contradictory responses are warranted in competing but complementary notions, grounded on the corpus of teacher responses, that teachers hold about the nature of authentic mathematical activity when proving.

Perceptions of School and Aspirations of Rural Students with Learning Disabilities and Their Nondisabled Peers

This study examined the school perceptions and educational aspirations of 6,599 rural high school students, a sample that included 428 students with learning disabilities (LD). Regardless of disability status, rural high school students who had negative perceptions of school had less well‐defined postsecondary educational plans and less often aspired to complete college or pursue an advanced degree. Compared to nondisabled youth, rural students with LD were more likely to have negative perceptions of school and lower postsecondary aspirations. However, students with LD who had positive perceptions of school more often planned to pursue postsecondary education and aspired to complete college or an advanced degree. Implications for research and interventions pertaining to the educational attainment of students with LD are discussed.     

Adolescents' Declining Motivation to Learn Science: Inevitable or Not?

There is a growing awareness that science education should center not just on knowledge acquisition but developing the foundation for lifelong learning. However, for intentional learning of science to occur in school, out of school, and after school, there needs to be a motivation to learn science. Prior research had shown that students' motivation to learn science tends to decrease during adolescence [Anderman and Young [1994] Journal of Research in Science Teaching 31: 811–831; Lee and Anderson [1993] American Educational Research Journal 30: 585–610; Simpson and Oliver [1990] Science Education 74: 1–18]. This study compared 5th through 8th grade students' self‐reported goal orientations, engagement in science class, continuing motivation for science learning, and perceptions of their schools' and parents' goals emphases, in Israeli traditional and democratic schools. The results show that the aforementioned decline in adolescents' motivation for science learning in school and out of school is not an inevitable developmental trend, since it is apparent only in traditional schools but not in democratic ones. The results suggest that the non‐declining motivation of adolescents in democratic schools is not a result of home influence but rather is related to the school culture. © 2010 Wiley Periodicals, Inc., J Res Sci Teach 48: 199–216, 2011     

Spanish-speaking Mexican-American Families' Involvement in School-based Activities and their Children's Literacy: The Implications of Having Teachers who Speak Spanish and English

For a sample of low-income, Spanish-speaking Mexican-American families (n = 72), we investigated associations between family involvement in school-based activities and children's literacy in their preferred language (English or Spanish) during early elementary school. We gave special attention to the potential moderating role of teacher fluency in Spanish. Between kindergarten and third grade, family involvement in school-based activities increased for children who displayed early literacy problems. The rate of increase was greater for children who consistently had bilingual teachers than for children who did not. In turn, increased family involvement predicted better literacy skills at third grade, particularly for children who struggled early. We discuss these results in light of recent recommendations to increase the number of elementary school teachers who are fluent in Spanish and English.     

Study of the factors influencing sex differences in the career motivation of Iranian high school students

The purpose of the study was to investigate some factors thought to influence sex differences in the Career Motivation of Iranian high school students. Subjects (n = 206) were balanced on sex, ages 17–18 and attending schools in Tehran, Iran. Measures included the criterion career motivation and six predictors: Sex, Social Class, Early Family Socialization, Religious Orientation, Community Resources and Community Discrimination against women 's careers.Multivariate regression analyses with partial correlations were used to test hypotheses. Hypotheses were that males would score higher than females on career motivation; upper middle class students would score higher than lower middle class students on career motivation; Scores on Early Family Socialization, Community Resources and Religious Orientation would be positively correlated with Career Motivation; and Community Discrimination would be negatively correlated with Career Motivation. Interactions were expected for Sex, Religious Orientation and Social Class. Main effects found in the regression analyses supported hypotheses related to Sex, Social Class, Community Discrimination and Early Family Socialization. It remained for the interpretation of three significant interaction effects to shed light on the contribution of Religious Orientation to Career Motivation. The three significant interactions found were Sex × Social Class; Sex × Religious Orientation; and Religious Orientation × Community Discrimination. It appeared that the religion measure was confounded by the new movement within Islam led by the Mojahedin Khalgh group that is supportive of women 's careers, in contrast to the dominant Shia Islam group. The Community Resources measure was significantly (p<.05) and positively related to career motivation but it did not contribute importantly to the prediction equation. The equation derived including interaction terms accounted for 41% of the variance. It was concluded that the analysis used provided an important addition to understanding complex phenomena such as career motivation in a changing social context.     

Feminist pedagogy in the law schools

Michael Weiss is a fellow at the Texas Public Policy Foundation and articles editor of theTexas Law Review. This essay was prepared with the assistance of Cory Birenbaum.