Dissertations / Theses on the topic 'Middle school students Mathematics'

While research studies have revealed an association between students’ attitudes toward mathematics and achievement in mathematics, divergent results shift the research focus to the construct of attitudes and from a normative approach to a qualitative approach. This mixed-methods multiple-case phenomenological study captured the real-time classroom origins of eight attitude profiles through the use of the experiencing sampling method (ESM). A total of 75 students, representing one low-, one middle-, and one high-performing middle school in New Hampshire, participated in the ESM study and 11 students were interviewed. A total of 477 random classroom moments were captured and 3988 students’ statements were coded. Quantitative results revealed differences in the distributions of attitude profiles across performance levels and the proportion of students within certain attitude profiles. Results suggest that students’ attitudes change over time, and the distribution of the number of attitude changes does not differ across performance levels. Eight themes emerged from a holistic coding process, and a systematic coding process resulted in detailed descriptions of the eight attitude profiles. Students tended to exhibit positive self-perceptions as learners toward mathematics and their perceived competence was linked to the success they experienced. Test and quizzes dominated classroom activities among all four attitude profiles with a negative emotional dimension. The analysis revealed differences in classroom activities and their impacts on the various profiles, including the use of technology, real-world connections, quizzes and tests, homework, working problems, and students’ perceptions of their teachers, the enjoyment of mathematics, and the difficulty of the material.

This quasi-experimental research study examined the cognitive effects of background music used with middle school students during mathematics classes and mathematics testing. Eight schools, nine teachers, 23 classes, and 302 students participated in the project. A series of five compact discs of Mozart selections, a specifically selected composite of 12 CD albums, was used over a period of 10 class days and one testing day. The tests were teacher-designed for use during the regular regimen of testing for their specific classes. The conditions of music and no-music were reversed so students were their own controls. Results showed a nonstatistical gain overall; however, sixth grade females had a net music gain that superseded all other male and female groupings. In addition, an incremental gain was found with those who had played instruments. Other gains/losses were noted for these conditions: if students liked or did not like background music during classes and testing, if they liked or did not like listening to music while doing homework, if they liked singing or not, and whether they felt that the music was a help or hindrance to their attention, concentration, and/or distraction. The students' perspectives concerning the quasi-experiment were reported as supplemental qualitative data which included impressions about the experiment, opinions about the experience they had, and suggestions for future experiments.

The purpose of this qualitative multiple case study was to explore how five sixth grade female students navigated the process of project-based learning as they designed and implemented their own project centered on mathematics while using a social justice lens. The theoretical frameworks of Authentic Intellectual Work and Social Justice Mathematics are blended to support a proposed new pedagogy of Project Based Social Justice Mathematics (PB-SJM).

Five female participants contributed to the findings of this study, all sixth grade students attending a project-based learning, charter middle school called The Academy of Innovation and Creativity. Data collection occurred throughout the entirety of a four-week project-process, including extensive field notes, two interviews per participant, multiple physical artifacts from each participant, and formal presentations by each participant.

Adapted from Gutstein's (2006) work with 3 C's (Classical, Community, and Critical), four propositions served as the basis for analysis, also known as the four knowledge bases or the Four C's—Content Knowledge, Community Connections, Critical Inequity, and Change Agency. The major findings of the study centered on the Four C's, specifically producing nine total themes. Within Content Knowledge, three themes emerged, that of a) Learning Targets—Understanding and Application, b) Complex, Non-Algorithmic Thinking, and c) Humanization of Mathematics. Two themes emerged in Community Connections, that of d) Personalizing Context and e) Experts as Sources. Likewise, two themes emerged within Critical Inequity, specifically f) Developmental Readiness and g) Growing Understanding of Critical. Lastly, Change Agency also produced two themes of h) Belief—Personal Agency and i) Action—Voice is Power. Collectively, the Four C's and the nine themes represent the findings of this research study.

ALLAIN, ASHLEY. Development of an Instrument to Measure Proportional Reasoning Among Fast-Track Middle School Students. (Under the direction of North Carolina State University Graduate Faculty). The purpose of the study was to develop a reliable and valid instrument for measuring proportional reasoning among fast-track middle school girls in Wake County, North Carolina. The study sample consisted of 70 girls who attended the summer 2000 Girls on Track program at Meredith College located in Raleigh, North Carolina. The grade level for each of the participants ranged from 6th grade through 8th grade for the 2000-2001 school year. The instrument used in this study is the Proportional Reasoning Assessment Instrument. This instrument was developed by the researcher and is based upon problems discussed in relevant literature. The test items chosen include missing value, comparison, mixture, associated sets, part-part-whole, graphing and scale problems. The instrument is comprised of 10 open-ended items of varying difficulty levels. Data were analyzed using Statistical Package for the Social Sciences Version 10.0 (SPSS) and EXCEL. A four-point grading rubric was used to score each test item. Two measure of internal consistency were calculated to determine reliability: Chrombach?s coefficient alpha and inter-rater reliability. A panel of experts examined the test instrument for the qualities of relevance, balance, and specificity to establish content validity. Criterion validity was established through determining the correlation between students? scores on the Proportional Reasoning Assessment Instrument and the students? scores on the North Carolina End-of-Grade exam. A detailed item analysis was performed including item difficulty, item discrimination, item means, item variances, and inter-item correlations.Results from the study reveal the Proportional Reasoning Assessment Instrument is a reliable and valid test instrument for measuring proportional reasoning among fast-track middle school girls. In addition, the instrument revealed common misconceptions among the students in the sample. The overall coefficient alpha is and inter-rater agreement was 96%. The average difficulty is and the average discrimination is . Each test item contributed to the central purpose of the instrument due to the absence of negative discrimination indices.

The purpose of this study was to determine if there was a significant difference in total scores on the Mathematical Self-Efficacy Scale, the mathematics task self-efficacy portion of the scale, and the math-related school subjects self-efficacy portion of the scale for middle school students between students assigned to a homogeneously grouped accelerated math class and students assigned to a heterogeneously grouped math class.

The instrument used to gather information for thus study on student self-efficacy was the Mathematics Self-Efficacy Scale (MSES). The MSES measures 2 domains of mathematics-related behaviors and capabilities. The Mathematics Task Self-Efficacy scale is designed to measure the level of confidence the student would have when successfully completing the given task. The Math-Related School Subjects Self-Efficacy scale is designed to measure the level of confidence the student would have when successfully completing a college level course with a final grade of an A or B. The 2 parts of the MSES may be individually scored or holistically scored to obtain a total score representing overall mathematical self-efficacy.

Descriptive and inferential statistics were used to analyze the data for the 9 research questions. Participants in the study were randomly assigned to the heterogeneous or homogeneous groups by their schools and were not controlled by the researcher. Students within the groups were chosen as participants based on their math ability and scores on the seventh grade TCAP test. At the time of the survey these students attended either a K-8 elementary school or a middle school in Northeast Tennessee. The population consisted of 357 gifted or talented eighth grade math students in 6 school districts in Northeast Tennessee.

The results of this study does not support or discourage the practice of acceleration by retaining 7 of the 9 null hypotheses that there are no significant difference in self-efficacy scores between homogeneous grouped eighth grade math students who were placed in accelerated coursework by taking Algebra I and those students who were heterogeneously grouped in a regular eighth grade math class.

This study used the TIMSS 2011 International Database to investigate predictors of 8th-grade mathematics achievement across three countries that represent a wide range of cultures and levels of mathematics achievement: Chinese Taipei, Ghana, and the United States. A review of literature on predictors of mathematics achievement yielded variables in four major contexts of learning—a student’s home, beliefs, school, and classroom. The variables of home that were investigated are home possessions for learning, parent education, and parents’ expectations and involvement in their children’s education. The variables of student beliefs were self-confidence in mathematics and the value of mathematics. The variables of school were school climate, school resources, administrator leadership, and school socioeconomic status. Finally, the variables of the classroom are access and equity, curriculum, tools and technology, assessment, and teacher professionalism.

A 2-level hierarchical linear model was used to investigate relationships between the predictors for learning mathematics and 8th-grade mathematics achievement. Level 1 represented the relationships among the student-level variables, and Level 2 represented the school-level variables.

In Chinese Taipei, statistically significant predictors of mathematics achievement in the final model included variables from the domains of home resources, student beliefs, school climate, and school socioeconomic status. In Ghana, both student-beliefs variables had statistically significant relationships with mathematics achievement, and one school climate and one school socioeconomic status variable each was found statistically significant. The U.S. had statistically significant predictors in the domains of home resources, student beliefs, school socioeconomic status, classroom-level access and equity, classroom assessment, and teacher professionalism.

This study extends previous research in several ways. It includes a review of classic and recent literature regarding predictors of mathematics achievement; 17 scales using the Rasch partial credit model were developed to measure predictors of mathematics achievement; and the results of this study may be used to examine the relationships between the independent variables of this study and middle-grades mathematics achievement in countries similar to the 3 in this study to reinforce and support variables that contribute to student achievement.