Comparison of Linear Functions in Middle Grades Textbooks from Singapore and the United States

Many U.S. students do not perform well on mathematics assessments with respect to algebra topics such as linear functions, a building-block for other functions. Poor achievement of U.S. middle school students in this topic is a problem. U.S. eighth graders have had average mathematics scores on international comparison tests such as Third International Mathematics Science Study, later known as Trends in Mathematics and Science Study, (TIMSS)-1995, -99, -03, while Singapore students have had highest average scores. U.S. eighth grade average mathematics scores improved on TIMMS-2007 and held steady onTIMMS-2011. Results from national assessments, PISA 2009 and 2012 and National Assessment of Educational Progress of 2007, 2009, and 2013, showed a lack of proficiency in algebra. Results of curriculum studies involving nations in TIMSS suggest that elementary textbooks in high-scoring countries were different than elementary textbooks and middle grades texts were different with respect to general features in the U.S. The purpose of this study was to compare treatments of linear functions in Singapore and U.S. middle grades mathematics textbooks. Results revealed features currently in textbooks. Findings should be valuable to constituencies who wish to improve U.S. mathematics achievement. Portions of eight Singapore and nine U.S. middle school student texts pertaining to linear functions were compared with respect to 22 features in three categories: (a) background features, (b) general features of problems, and (c) specific characterizations of problem practices, problem-solving competency types, and transfer of representation. Features were coded using a codebook developed by the researcher. Tallies and percentages were reported. Welch's t-tests and chi-square tests were used, respectively, to determine whether texts differed significantly for the features and if codes were independent of country. U.S. and Singapore textbooks differed in page appearance and number of pages, problems, and images. Texts were similar in problem appearance. Differences in problems related to assessment of conceptual learning. U.S. texts contained more problems requiring (a) use of definitions, (b) single computation, (c) interpreting, and (d) multiple responses. These differences may stem from cultural differences seen in attitudes toward education. Future studies should focus on density of page, spiral approach, and multiple response problems.

The Relationship of Instructor Technical Literacy to the Academic Performance of Students in Career Academies

Career Academy instructors’ technical literacy is vital to the academic success of students. This nonexperimental ex post facto study examined the relationships between the level of technical literacy of instructors in career academies and student academic performance. It was also undertaken to explore the relationship between the pedagogical training of instructors and the academic performance of students. Out of a heterogeneous population of 564 teachers in six targeted schools, 136 teachers (26.0 %) responded to an online survey. The survey was designed to gather demographic and teaching experience data. Each demographic item was linked by researchers to teachers’ technology use in the classroom. Student achievement was measured by student learning gains as assessed by the reading section of the FCAT from the previous to the present school year. Linear and hierarchical regressions were conducted to examine the research questions. To clarify the possibility of teacher gender and teacher race/ethnic group differences by research variable, a series of one-way ANOVAs were conducted. As revealed by the ANOVA results, there were not statistically significant group differences in any of the research variables by teacher gender or teacher race/ethnicity. Greater student learning gains were associated with greater teacher technical expertise integrating computers and technology into the classroom, even after controlling for teacher attitude towards computers. Neither teacher attitude toward technology integration nor years of experience in integrating computers into the curriculum significantly predicted student learning gains in the regression models. Implications for HRD theory, research, and practice suggest that identifying teacher levels of technical literacy may help improve student academic performance by facilitating professional development strategies and new parameters for defining highly qualified instructors with 21st century skills. District professional development programs can benefit by increasing their offerings to include more computer and information communication technology courses. Teacher preparation programs can benefit by including technical literacy as part of their curriculum. State certification requirements could be expanded to include formal surveys to assess teacher use of technology.

A comparative analysis of school satisfaction and dropout risk of middle school students attending programs for students with emotional handicaps, severe emotional disturbance and general education students attending center schools and satellite schools

This study evaluated school satisfaction as an indicator of dropout risk of students with Emotional Handicaps (EH) and students with Severe Emotional Disturbance (SED). The students attended two different kinds of middle schools in a largely urban school district in South Florida. One hundred eight students in grade 8 (ages 13-16) participated in this study. Participants were administered the National Dropout Prevention Assessment (NDPA). Forty participants with EH and SED attended a special center school. Thirty-one participants with EH and SED attended satellite programs in a regular middle school. Thirty-seven general education participants attended the same regular middle school. Overall school satisfaction scores were generated, as well as three primary factors (school, environment and personal) and 16 subscales (school atmosphere, future income, difficulty level of classwork, teacher relationships, peer relationships, intrinsic interest in classwork, school hours, classwork stress, general attitude towards school, family influence, perceived opportunity for career, future goals, travel distance, leisure time, self-appraisal of performance, and self-esteem).^ Comparison of students with EH and SED revealed that both groups of students were rated at "low risk" of becoming dropouts on the Environmental factor and the Difficulty of Schoolwork subscale. Students with EH were rated at "caution risk" risk on the Travel Distance subscale. Students with SED were rated at "high risk" on this subscale.^ There were no significant differences in school satisfaction and dropout risk between different program delivery models. There were also no significant differences for category of students (EH, SED) by school type (center school, satellite program). All students were rated at "low risk" of dropping out of school.^ There were significant differences between general education students and students with EH and SED attending satellite programs. Students with EH and SED were rated at "caution risk" for dropping out on the Travel Distance and the Leisure Time subscales. Discussion of results, implications for practice and recommendations for further research are included. ^