Method of Linear Programming as an Idea for High School Curriculum

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

Graphical Approach to Teaching Compound Interest in High School Math Classes

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2015

Effectiveness of peer counseling on high school students who failed two or more classes in a nine week quarter

The purpose of this study was to examine the effectiveness of peer counseling on high school students who have previously failed two or more classes in a nine week quarter.^ This study was constructed by comparing students who previously failed and were subsequently given peer counseling with a matched group of students who failed and did not receive peer counseling.^ To test the proposed research question, 324 students from a large urban school system were randomly chosen from a computer generated list of students who failed courses, matched on variables of number of classes failed, grade level and gender. One student from each matched pair was randomly placed in either the experimental or control group. 162 students from Group 1 (experimental) were assigned a peer counselor with their pair assigned to Group 2 (control). Group 1 received peer counseling at least 4 times during the third nine week academic quarter (Quarter 3) while Group 2 did not.^ The Grade Point Averages (GPA) for all students were collected both at the end of Quarter 2 and Quarter 3, at which time peer counseling was terminated. GPA's were also collected nine weeks after counseling was terminated.^ Results were determined by multiple regression, analysis of covariance and t-test. A level of significance was set at.05. There was significant increase in the GPA's of those counseled students immediately after peer counseling and also nine weeks after counseling was terminated, while the group not receiving peer counseling showed no increase. It was noted that there were significantly more school drop-outs from the non-counseled group than the counseled group. The number of classes failed, high school attended, grade level and gender were not found to be significant.^ The conclusion from this study was that peer counseling does impact significantly on the GPA's of students experiencing academic failure. Recommendations from this study were to implement and expand peer counseling programs with more failing students, continue counseling for longer than one quarter, include students in drop-out programs and students from different socio-economic and racial backgrounds, and conduct subsequent evaluation. ^

The effects of Chinese painting appreciation education on the artistic achievement of junior high school students in Taiwan

For the Chinese, fine art is one of the most important items in human life. The goals of fine arts education enhance the student so that s/he can make reasonable judgments about work, gain knowledge of color and understand the process of designing environmental layouts. Related technique and creativity training are offered students in accordance with individual differences and social expectations.^ Traditionally, Taiwan's junior high school fine art program teaches mainly painting technique. The Ministry of Education in Taiwan determines the curriculum of junior high school fine art education. The purpose of this study was to determine the effects of teaching Chinese painting appreciation on the artistic achievements of junior high school students in Taiwan. The subjects were seventh grade students who had never learned Chinese painting before. Two classes were randomly chosen from each target school and were designated as the experimental or control group. Instruction in all groups was delivered by the researcher himself. At the end of the study, data about subjects' related knowledge, creative technique, and feeling toward Chinese painting were systematically collected and analyzed.^ The result of the study was that students in the experimental group were more motivated to learn Chinese painting than were the students in the control group. Students in the experimental group made better progress in the development of creative skill, had better critical ability, and demonstrated better performance in Chinese painting form, set up, stroke and color of related knowledge than did students in the control group. It was therefore concluded that Chinese painting appreciation education can promote better artistic achievement and that this approach should be used in other areas of art education. ^

The relationship between the teacher's experience, the teacher's college major, and the teacher's level of education in predicting classroom attitudes in high school science students

A review of the literature reveals few research has attempted to demonstrate if a relationship exists between the type of teacher training a science teacher has received and the perceived attitudes of his/her students. Some of the teacher preparation factors examined in this study include the college major chosen by the science teacher, the highest degree earned, the number of years of teaching experience, the type of science course taught, and the grade level taught by the teacher. This study examined how the various factors mentioned, could influence the behaviors which are characteristic of the teacher, and how these behaviors could be reflective in the classroom environment experienced by the students.^ The instrument used in the study was the Classroom Environment Scale (CES), Real Form. The measured classroom environment was broken down into three separate dimensions, with three components within each dimension in the CES. Multiple Regression statistical analyses examined how components of the teachers' education influenced the perceived dimensions of the classroom environment from the students.^ The study occurred in Miami-Dade County Florida, with a predominantly urban high school student population. There were 40 secondary science teachers involved, each with an average of 30 students. The total number of students sampled in the study was 1200. The teachers who participated in the study taught the entire range of secondary science courses offered at this large school district. All teachers were selected by the researcher so that a balance would occur in the sample between teachers who were education major versus science major. Additionally, the researcher selected teachers so that a balance occurred in regards to the different levels of college degrees earned among those involved in the study.^ Several research questions sought to determine if there was significant difference between the type of the educational background obtained by secondary science teachers and the students' perception of the classroom environment. Other research questions sought to determine if there were significant differences in the students' perceptions of the classroom environment for secondary science teachers who taught biological content, or non-biological content sciences. An additional research question sought to evaluate if the grade level taught would affect the students' perception of the classroom environment. (Abstract shortened by UMI.) ^

The effect of vocational education on high school students in a large urban multicultural school district

The completion of and graduation from high school is a major problem that must be resolved. A 6% random sample of the students (1,059) who were in the 9th grade in Miami-Dade Public Schools, a large urban school district, September 1992, were selected for this study. The sample was divided into 2 groups, advanced academic and general track students. Each group was then divided into vocational and non-vocational. A causal comparative design was used to evaluate the results for graduate vs. non-graduate. The indicators were the program of study, attendance, standardized test scores, grade point average, ethnicity and gender. It was found that both advanced academic and general track students had significantly higher graduation rates at the .01 level when a vocational education program was part of their studies. All of the other indicators did not show any significant differences. If we arc to improve students educational outcomes and reduce the dropout rate, vocational education should be part of every student's education.^

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. ^

Academic performance of college students in financial management and related prerequisite courses: A comparison of senior high school and commercial high school graduates attending Tamsui Oxford University College in Taiwan

In Taiwan, the college freshmen are recruited graduates of both senior high school and senior vocational school. The Ministry of Education (MOE) of the Republic of China prescribes the standards of curriculum and equipment for schools at all levels and categories. There exists a considerably different curriculum arrangement for senior high schools and vocational high schools in Taiwan at the present time. The present study used a causal-comparative research design to identify the influences of different post-secondary educational background on specialized course performance of college business majors. ^ The students involved in this study were limited to the students of four business-related departments at Tamsui Oxford University College in Taiwan. Students were assigned to comparison groups based on their post-secondary educational background as senior high school graduates and commercial high school graduates. The analysis of this study included a comparison of students' performance on lower level courses and a comparison of students' performance in financial management. The analysis also considered the relationship between the students' performance in financial management and its related prerequisite courses. The Kolb Learning Style Inventory (LSI) survey was administered to categorize subjects' learning styles and to compare the learning styles between the two groups in this study. The applied statistical methods included t-test, correlation, multiple regression, and Chi-square. ^ The findings of this study indicated that there were significant differences between the commercial high school graduates and the senior high school graduates on academic performances in specialized courses but not in general courses. There were no significant differences in learning styles between the two groups. These findings lead to the conclusion that business majors' academic performance in specialized courses were influenced by their post-secondary educational background. ^

A comparison of the effects of social constructivist and traditional approaches to teaching on students' attitude and achievement in high school chemistry

Current views of the nature of knowledge and of learning suggest that instructional approaches in science education pay closer attention to how students learn rather than on teaching. This study examined the use of approaches to teaching science based on two contrasting perspectives in learning, social constructivist and traditional, and the effects they have on students' attitudes and achievement. Four categories of attitudes were measured using the Upper Secondary Attitude Questionnaire: Attitude towards school, towards the importance of science, towards science as a career, and towards science as a subject in school. Achievement was measured by average class grades and also with a researcher/teacher constructed 30-item test that involved three sub-scales of items based on knowledge, and applications involving near-transfer and far-transfer of concepts. The sample consisted of 202 students in nine intact classrooms in chemistry at a large high school in Miami, Florida, and involved two teachers. Results were analyzed using a two-way analysis of covariance (ANCOVA) with a pretest in attitude as the covariate for attitudes and prior achievement as the covariate for achievement. A comparison of the adjusted mean scores was made between the two groups and between females and males. ^ With constructivist-based teaching, students showed more favorable attitude towards science as a subject, obtained significantly higher scores in class achievement, total achievement and achievement on the knowledge sub-scale of the knowledge and application test. Students in the traditional group showed more favorable attitude towards school. Females showed significantly more positive attitude towards the importance of science and obtained significantly higher scores in class achievement. No significant interaction effects were obtained for method of instruction by gender. ^ This study lends some support to the view that constructivist-based approaches to teaching science is a viable alternative to traditional modes of teaching. It is suggested that in science education, more consideration be given to those aspects of classroom teaching that foster closer coordination between social influences and individual learning. ^

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.

English language learners and standardized testing in an urban senior high school

The primary purpose of this study was to examine the influences of literacy variables on high-stakes test performance including: (a) student achievement on the Metropolitan Achievement Test, Seventh Edition (MAT-7) as correlated to the high-stakes test such as the FCAT examination and (b) the English language proficiency attained by English Language Learners (ELL) students when participating in, or exiting from English Speakers of Other Languages (ESOL) program as determined by the Limited English Proficient (LEP) committee. ^ Two one-sample Chi-square tests were conducted to investigate the relationship between passing the MAT-7 Reading and Language examinations and the FCAT-SSS Reading Comprehension and FCAT-NRT examinations. In addition, 2x2 Analyses of Variance (ANOVAs) were conducted to address the relationship between the time ELL students spent in the ESOL program and the level of achievement on MAT-7 Reading and Language examinations and the FCAT-SSS Reading Comprehension and FCAT-NRT. ^ Findings of this study indicated that more ELL students exit the program based on the LEP committee decisions than by passing the MAT-7. The majority of ELL students failed the 10th grade FCAT, the passing of which is needed for graduation. A significant number of ELL students failed, even when passing the MAT-7 or being duly exited through the decision of the LEP committee. The data also indicated that ELL students who exited the ESOL program in six semesters or fewer had higher FCAT scores than those who exited the program in seven semesters or more. The MAT-7 and the decision of the LEP committee were shown to be ineffective as predictors of success on the FCAT. ^ Further research to determine the length of time a student in the ESOL program uses English to read, write, and speak should be conducted. Additionally, the development of a new assessment instrument to better predict student success should be considered. However, it should be noted that the results of this study are limited to the context in which it was conducted and does not warrant generalizations beyond that context. ^

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.

Self-determination theory and student motivation in social studies in an urban Broward County public high school

This study investigated how students perceived their motivation in high school social studies classes in school and to determine if a correlation exists between students’ grade level, race, gender, and their motivation. The sample included 337 high school students in Broward County, Florida. To assess students’ perceptions on their motivation the academic self-regulation questionnaire was utilized. Results indicate that social studies students show high levels of external regulation, with a mean score at 22.31 on a scale of 36 points. The results show a mean score of 24 on a scale of 28 points for identified regulation among social studies students. Findings revealed that student motivation could be gauged. No statistical significance was found between high school students’ grade level, race, gender, and their motivation in social studies classes. The findings of this study have shown that students at Boyd H. Anderson High School want to learn social studies.