Method of Linear Programming as an Idea for High School Curriculum

2010 Mathematics Subject Classification: 97D40, 97M10, 97M40, 97N60, 97N80, 97R80

An investigation into factors that influence the sense of competence of six high school girls

The purpose of this study was to explore the influence of environment, behavior, capabilities, beliefs and values, and identity, based on Dilts' (1990) levels of cognitive alignment, on the cognitive construct of sense of competence and related constructs of self-efficacy, motivation, expectations, and goal-setting among adolescent girls. An individual who is aligned is free from conflict among the interaction of these levels. In addition, academic achievement, adolescent culture, parental involvement, and school environment were four of several issues in the lives of adolescent girls examined to explore how these issues might interact with the levels of alignment and sense of competence.^ A case study approach used in-depth interviews with six female seniors from private single-sex and mixed-sex high schools organized around the levels of alignment and school environment. Response patterns were analyzed to determine each girl's varying evidence of alignment or freedom from conflict within her environment.^ The findings indicated that none of the girls were able to meet the conditions for alignment in Dilts' model or a sense of competence. School environment, parental involvement, and adolescent culture were important factors influencing the extent to which conflict was experienced by each girl. The girls with domain-specific successes developed strategies that concentrated their efforts in the domains in which they could demonstrate their best abilities. The results contribute to current theory and research on adolescent girls: and have value for practitioners working with adolescent girls in developing strategies to improve their self-efficacy, motivation, expectations, goal-setting, and overall sense of competence. ^

A comparison of the academic performance of students with General Educational Development credentials and high school diplomas at a selected community college

This study compared the performance of students who earned GED credentials in Florida with that of graduates of Florida high schools, when members of both groups enrolled for the first time in fall 1992 at an urban multicultural community college in south Florida. GED's and HSD's were matched on gender, race, age range, placement levels, and enrollment in college preparatory courses (reading, English, mathematics). The paired samples t-test compared course grades, first semester GPA, and total college GPA for the groups and subgroups of matched students at a probability level of .05. The McNemar test compared how many students in each group and subgroup re-enrolled for a second and third term, or ever; how many were placed on special academic status during their college enrollment; and how many graduated within 16 semesters. Differences between groups were found only for placement on probation—with HSD's on probation in significantly higher proportion than GED's. ^ Additional findings among subgroups revealed that male and Caucasian HSD subjects earned higher math grades than their GED counterparts. Male HSD's were more likely than male GED's to return to the college at some point after the first term. However, male HSD's were placed on probation in greater proportion than the GED's with whom they were matched. ^ Female GED's earned higher English grades and higher first semester and cumulative GPA's and returned to the college in greater proportion than their HSD counterparts. Black GED's earned higher first-semester GPA's, re-enrolled in terms 2 and 3 and graduated from the college in higher percentages than Black HSD's. Black HSD's were placed on probation in higher proportion than Black GED's. Lastly, greater percentages of HSD than GED subjects in the lowest age range (16–19) were placed on probation. ^ Results connected to the performance of Black GED subjects are likely to have been affected by the fact that 50% of Black study subjects had been born in Jamaica. The place of the GED in the constellation of methods for earning credit by examination is explored, future implications are discussed, and further study is recommended. ^

The relation of sports participation to academic performance of high school students

Over the past one hundred years, interscholastic athletic programs have evolved to a place of prominence in both public and private education across America. The National Federation of State High School Associations (NFHS) estimates that approximately 3.96 million males and 2.80 million females participated in organized high school athletic programs during the 2001–2002 school year at over 17 thousand public and private high schools. The popularity of interscholastic athletic programs has resulted in continuous investigations of the relationship between high school athletic programs and academic performance. ^ The present study extends earlier investigations by examining the relation of athletic participation to several indicators of academic performance for senior high school students. This research examined: (a) average daily attendance of varsity athletes and non-athletes; (b) final cumulative grade point average; and (c) test scores on the tenth grade Florida Comprehensive Assessment Test (FLAT) in both reading and in mathematics. ^ Data were collected on 2081 randomly selected male and female high school students identified as athletes or non-athletes at ten public senior high schools in the Miami-Dade County Public Schools district. The results of the overall analyses showed a positive and significant relationship between athletic participation and educational performance. On average, athletes were absent fewer days from school per year than non-athletes and athletes earned a significantly higher cumulative grade point average than their non-athlete peers. A significant statistical difference was also found in the tenth grade FCAT test scores in both reading and mathematics for athletes and non-athletes when eighth grade FCAT test scores in reading and mathematics were used as co-variates. Athletes earned significantly higher Grade 10 FCAT test scores in both reading and mathematics than non-athletes. ^ Although cause and effect cannot be inferred from this study, the findings do indicate the potentially beneficial value of athletic programs in public secondary education. The study concluded that Florida high school graduation requirements might seriously consider the role of interscholastic athletic programs as a valid and essential extra-curricular activity. ^

Algebra I and other predictors of high school dropout

This study investigated the relation of several predictors to high school dropout. The data, composed of records from a cohort of students ( N = 10,100) who entered ninth grade in 2001, were analyzed via logistic regression. The predictor variables were: (a) Algebra I grade, (b) Florida Comprehensive Assessment Test (FCAT) level, (c) language proficiency, (d) gender, (e) race/ethnicity, (f) Exceptional Student Education program membership, and (g) socio-economic status. The criterion was graduation status: graduated or dropped out. Algebra I grades were an important predictor of whether students drop out or graduate; students who failed this course were 4.1 times more likely to drop out than those who passed the course. Other significant predictors of high school dropout were language proficiency, Florida Comprehensive Assessment Test (FCAT) level, gender, and socio-economic status. The main focus of the study was on Algebra I as a predictor, but the study was not designed to discover the specific factors related to or underlying success in this course. Nevertheless, because Algebra I may be considered an important prerequisite for other major facets of the curriculum and because of its high relationship to high school dropout, a recommendation emerging from these findings is that districts address the issue of preventing failure in this course. Adequate support mechanisms for improving retention include addressing the students' readiness for enrolling in mathematics courses as well as curriculum improvements that enhance student readiness through such processes as remediation. Assuring that mathematics instruction is monitored and improved and that remedial programs are in place to facilitate content learning in all subjects for all students, but especially for those having limited English proficiency, are critical educational responsibilities.

Successful and sustained leadership: A case study of a Jesuit high school president

Fr. Marcelino García, S.J. has been the president of Belen Jesuit Preparatory School for 25 years. The longevity and success of his tenure is an exemplary case of effective leadership and provided significant insight into what constitutes effective school leadership. The target population for this case study consisted of the school’s 7 administrators, 90 faculty members, 10 English-speaking staff members, and 3 key informants. Data were collected using Bolman and Deal’s (1997) Leadership Orientation Survey along with the Jesuit Secondary Education Administration’s (1994) Administrative Leadership Profile Survey (ALPS). Data collected from the surveys were analyzed using the SPSS, version 10. The study also included data collected from focus interviews with Fr. García and six other significant members of the school community. The interviews were approximately 1-hour individual interviews that employed a semi-structured guide. A concurrent triangulation method was used that directly compared the results from these data collection methods. This was done by looking at the data as a whole and in parts. The parts were internal (faculty, administrators, and staff) and external (parents, alumni, and the superior of the Jesuit community) sectors. The comparison of the findings was then examined in terms of each research question. Analysis of the data revealed that while Fr. García’s predominant leadership style reflected the typical Bolman and Deal characteristics associated with the political frame, his leadership demonstrates access to all four frames. Research has found a correlation between multiple frame use and successful leadership. Relatedly, Fr. García’s capacity to approach his administration from various perspectives is indicative of success. In addition, from the perspective of Jesuit education, an analysis of Fr. García’s leadership indicated recurring themes that contributed to the school’s organizational health. The results of this study provide an extensive analysis of the administration of a unique leader. An analysis of Fr. García’s leadership style from two perspectives gives fresh insight into sustained and successful leadership.

Development of an instrument to measure high school students' global awareness and attitudes: Looking through the lens of social sciences

The purpose of this study was to develop an instrument to measure high school students’ perspectives on global awareness and attitudes toward social issues. The research questions that guided this study were: (a) Can acceptable validity and reliability estimates be established for an instrument developed to measure high schools students' global awareness? (b) Can acceptable validity and reliability estimates be established for an instrument developed to measure high schools students' attitudes towards global social issues? (c) What is the relationship between high school students’ GPA, race/ethnicity, gender, socio-economic status, parents’ education, getting the news, reading and listening habits, the number of classes taken in the social sciences, whether they speak a second language, and have experienced living in or visiting other countries, and their perception of global awareness and attitudes toward global social issues. ^ An ex post facto research design was used and the data were collected using a 4-part Likert-type survey. It was administered to 14 schools in the Miami-Dade County, Florida area to 704 students. A factor analysis with an orthogonal varimax rotation was vii used to select the factors that best represented the three constructs – global education, global citizenship, and global workforce. This was done to establish construct validity. Cronbach’s alpha was used to determine the reliability of the instrument. Descriptive statistics and a hierarchical multiple regression were used for the demographics to establish their relationship, if any, to the findings. ^ Key findings of the study were that reliable and valid estimates can be developed for the instrument. The multiple regression analysis for model 1 and 2 accounted for a variance of 3% and 5% for self-perceptions of global awareness (factor 1). The regression model also accounted for a 5% and 13% variance in the two models for attitudes toward global social issues (factor 2). The demographics that were statistically significant were: ethnicity, gender, SES, parents’ education, listening to music, getting the news, speaking a second language, GPA, classes taken in the social sciences, and visiting other countries. An important finding for the study was those attending public schools (as opposed to private schools) had more positive attitudes towards global social issues (factor 2) The statistics indicated that these students had taken history, economics, and social studies – a curriculum infused with global perspectives.^

Job-Embedded Graduate Education for Teachers: Working Intensively in High Needs Schools

The researchers in this study analyzed the self-identified leadership skills and key indicators of leadership as revealed by the written narratives of a group of teacher leaders. These teachers are graduates of a job-embedded, on-site degree program that uniquely combines collaborative professional development and school reform.

Unity and Diversity: High School Students’ Perceptions on Multiculturalism and the Intercultural University of the State of Guerrero, Mexico

This is a mixed methods study conducted in Guerrero, Mexico, at the end of the academic year 2005-2006. The purpose of this study was to capture the perceptions held by high school students, of both indigenous and non-indigenous background, regarding the intercultural university, as well as their conceptualization of multiculturalism.

High School Influences on the Selection of Athletic Training as a Career

Context: Research suggests internships, mentorship, and specialized school programs positively influence career selection; however, little data exists specific to athletic training. Objective: We identified high school (HS) experiences influencing career choice in college athletic training students (ATS). Design: Our survey included 35 Likert-type close-ended questions, which were reviewed by a panel of faculty and peers to establish content and construct validity. Setting: Participants completed an online questionnaire at their convenience. Participants: 217 college ATS (153 female, 64 male) from a random selection of accredited programs on the east coast. We excluded minors, freshmen, and undecided majors from the study. Informed consent was implied by proceeding to the questionnaire. Data Collection and Analysis: We used descriptive statistics to analyze the data collected via a secure website. Results: Mentors were most influential in the decision of career path (62.4%;n=131/210) with 85.2% (n=138/162) reporting mentors were readily available to answer questions regarding career options and 53.1% (n=86/162) counseled them regarding HS electives. Of participants involved in an internship (41.0%;n=86/210), most developed such opportunities independently (66.3%;n=57/86). Respondents who attended traditional HS suggested providing diverse electives (71.9%;n=133/185), additional internship (53.5%;n=99/185), and mentorship (33.0%;n=61/185) opportunities to effectively educate students regarding career options. Conclusions: College ATS that gained internship experience during HS report the opportunity positively influenced their career selection. Mentors support HS students by offering insight and expertise in guiding students’ career choices. Participants suggested HS afford diverse electives with internship and mentorship opportunities to positively influence interested students towards pursuing a career in athletic training.

Differential effects of single -sex versus coed education on the mathematical reasoning ability, verbal reasoning ability, and self-concept of high school girls

This study explored the differential effects of single-sex versus coed education on the cognitive and affective development of young women in senior year of high school. The basic research question was: What are the differential effects of single-sex versus coed education on the development of mathematical reasoning ability, verbal reasoning ability, or self-concept of high school girls?^ This study was composed of two parts. In the first part, the SAT verbal and mathematical ability scores were recorded for those subjects in the two schools from which the sample populations were drawn. The second part of the study required the application of the Piers-Harris Children's Self-Concept Scale to subjects in each of the two sample populations. The sample schools were deliberately selected to minimize between group differences in the populations. One was an all girls school, the other coeducational.^ The research design employed in this study was the causal-comparative method, used to explore causal relationships between variables that already exist. Based on a comprehensive analysis of the data produced by this research, no significant difference was found to exist between the mean scores of the senior girls in the single-sex school and the coed school on the SAT 1 verbal reasoning section. Nor was any significant difference found to exist between the mean scores of the senior girls in the single-sex school and the coed school on the SAT 1 mathematical reasoning section. Finally, no significant difference between the mean total scores of the senior girls in the single-sex school and the coed school on the Piers-Harris Children's Self-Concept Scale was found to exist.^ Contrary to what many other studies have found in the past about single-sex schools and their advantages for girls, this study found no support for such advantages in the cognitive areas of verbal and mathematical reasoning as measured by the SAT or in the affective area of self-concept as measured by the Piers-Harris Children's Self-Concept Scale. ^

A comparative study of high -achieving and low -achieving African -American students in an urban setting

The purpose of this study was to delineate which demographic and school variables were important for predicting the achievement of 10th grade African-American students. The sample population was divided into two groups: high-achievers, students with GPAs of 3.5 or higher, and low-achievers, students with GPAs of 1.5 or lower. Variables examined in the study included: gender; birth place; student's native language; exceptionality (ESE); history of English proficiency (LEP); SES (lunch status) in elementary and high school; the percentage of the Black student population in high school; and suspensions, absences, tardies, and the Stanford Achievement Test (SAT) scores in reading comprehension, mathematics computation, and mathematics applications in elementary and middle school. Two separate logistic regression analyses were conducted to determine which variables were influential in predicting achievement.^ Analysis 1 (N = 366), which included all the variables, except the SAT percentile scores, correctly classified 87% of the students as high-achievers or low-achievers. The results from Analysis 1 revealed that students who--were female; spoke a language other than English as their first language; did not apply for free or reduced lunch in elementary school; were in the gifted program; had no absences or tardies in elementary school; had no suspensions or tardies in middle school; and attended a high school with a lower percentage of Black students--were more likely to be high-achieving than low-achieving.^ Analysis 2 (N = 274) included all the variables and resulted in 94% of the students being correctly classified. It was found that students who--were female; were currently or previously classified as Limited English Proficient (LEP); did not apply for free or reduced lunch in elementary school; had no suspensions or tardies in middle school; and had higher percentile scores in reading comprehension and mathematics computation on the SAT in middle school--were more likely to high-achieving than low-achieving.^ The quantitative analyses were coupled with interviews from a purposeful sample of the population (N = 12) to gain additional insight about why some African-American students are succeeding in our schools and others are not. This study provides a viable means for assessing African-American students' achievement patterns in our schools. ^

Factors positively influencing academically successful, highly motivated African -American high school students

The purpose of this study is two-fold: (1) to investigate the common factors positively influencing academically successful, highly motivated African-American high school students in their educational pursuits; and (2) to determine ways in which educators can facilitate an increased positive impact on minority students' achievement motivation and transition to higher education. ^ Three sources of data inform the qualitative study. Short autobiographical essays address the topic of antecedent factors influencing the students' selection of an academic program of study. Individual interviews using a semi-structured format elicit discussion of prior experiences and influences related to the research sub-questions. Focus group interviews elicit discussion of emergent patterns perceived by the researcher from the autobiographical essays and individual interviews. ^ Results indicate a generic model for success for high achieving African-American students. Students prioritize education as a means to success in life. They receive strong support for educational aspirations from at least one adult within the home. The students are focused on a professional career in the future. The students realize and desire the financial benefits of academic success. The students desire academic challenge. Students have feelings of control over their academic choices; however, they frequently seek the counsel of family members. Prior experience in honors, gifted, or magnet programs did not meet needs. ^ Recommendations for improved educational experiences include: Increase teacher and counselor responsiveness to students. Provide classroom activities which afford more interaction among the students and teacher and relate curriculum to topics of interest. Increase involvement of parents and Black community members in establishing goals and visions of opportunity. Recognize and revere diversity among students within the classroom environment. Set a climate that assumes more individual student responsibility and sets higher academic expectations. ^ The factors influencing academically successful, highly motivated African-American high school students echo the patterns of experiences of many groups. Pride in achievement, emotional support for efforts, expectations of success, independence in thought, and consternation with mediocrity and malaise drive the students to excel academically just like all others who succeed. ^