Education Commons^™

Preparing New Jersey Community College Students For The Mathematics Placement Tests, Charles Edward Haas

Walden Dissertations and Doctoral Studies

Although most new college students had to demonstrate algebraic and basic mathematics mastery to earn a high school diploma or the equivalent, the majority of incoming New Jersey community college students are not showing this knowledge on the mathematics placement tests, thus placing into developmental courses, which must be successfully completed before students can attempt any college-level mathematics courses. Guided by Knowles’ theory of andragogy and developmental mathematics as a core concept, the purpose of this study was to determine ways to help incoming New Jersey community college students prepare for the ACCUPLACER mathematics tests. The research questions addressed testing …

Motivation For Mathematics: The Development And Initial Validation Of An Abbreviated Instrument, Kenneth Lee Butler

USF Tampa Graduate Theses and Dissertations

This study outlines the development and initial validation of an abbreviated instrument intended to measure motivation for mathematics of university students in developmental algebra courses. I look across many of the predominant theories on motivation with the aim of representing several of these theories as latent constructs in a single instrument that is short enough to be administered in a reasonable amount of time, but inclusive enough that it could incorporate subscales representing multiple distinct latent factors. This study answers a call by researchers expressing a need to investigate relationships between disparate theories on motivation and is a response to …

The Importance Of Fractional Thinking As A Bridge To Algebraic Reasoning, Catherine Pearn, Max Stephens

Catherine Pearn

This presentation will discuss how Year 6 primary school students create algebraic meaning and syntax through their solutions of standard fraction problems. Sample solutions will show how students use best available symbols to move beyond arithmetic calculation and to create innovative chains of algebraic reasoning. Several efficient and successful multiplicative methods are used to achieve this goal—in contrast to less efficient methods, usually additive, which may work only with simple fractions. Teachers need to recognise the underlying algebraic meaning emerging from students solutions and help all students use more efficient strategies and build their own bridges to algebra.

The Influences Of Mathematics Self-Efficacy, Identity, Interest, And Parental Involvement On Stem Achievement In Algebra For Female High School Students, Nicol R. Howard

Educational Studies Dissertations

The purpose of this study was to determine the predictability of STEM achievement in Algebra for female high school students utilizing mathematics self-efficacy, mathematics interest, mathematics identity, and parental involvement. This study employed data from the High School Longitudinal Study of 2009 (HSLS:09/12) which consisted of 3,938 female eleventh-grade participants randomly selected from 944 public and private high schools during the fall 2009 academic year. The results of a hierarchical multiple regression indicated that mathematics identity was the strongest predictor of STEM achievement for female high school students, regardless of race. In spite of this significant relationship, STEM achievement outcomes …

An Investigation Of Factors Affecting Student Performance In Algebraic Word Problem Solutions, Jerry Eugene Wright

Education Dissertations and Projects

This dissertation was designed to investigate the potential significance of several student algebraic word problem solving skills. The solution of an algebra word problem (AWP) requires the creation and solution of an equation based on the problem context. Common Core State Standards in both English Language Arts and Mathematics emphasize student learning and proficiency in algebra word problem contexts. Eight factors of student mathematical ability were proposed, and three of those eight factors were studied in depth to determine their significance. Similar research supported the theory that the translation phase of the solution process presented the student with the most …

Monitoring Australian Year 8 Student Achievement Internationally : Timss 2011, Sue Thomson, Kylie Hillman, Nicole Wernert

Nicole Wernert

The Trends in International Mathematics and Science Study (TIMSS 2011) is an international study directed by the International Association for the Evaluation of Educational Achievement (IEA). In Australia, TIMSS was managed by the Australian Council for Educational Research (ACER), and funded by the Australian and state and territory governments.

The goal of TIMSS is to provide comparative information about educational achievement across countries to improve teaching and learning in mathematics and science. It also provides comparative perspectives on trends in achievement in the context of different educational systems, school organisational approaches and instructional practices and to enable this, TIMSS collects …

Monitoring Australian Year 8 Student Achievement Internationally : Timss 2011, Sue Thomson, Kylie Hillman, Nicole Wernert

Kylie Hillman

The Trends in International Mathematics and Science Study (TIMSS 2011) is an international study directed by the International Association for the Evaluation of Educational Achievement (IEA). In Australia, TIMSS was managed by the Australian Council for Educational Research (ACER), and funded by the Australian and state and territory governments.

The goal of TIMSS is to provide comparative information about educational achievement across countries to improve teaching and learning in mathematics and science. It also provides comparative perspectives on trends in achievement in the context of different educational systems, school organisational approaches and instructional practices and to enable this, TIMSS collects …

Comparing Cognitive Models Of Domain Mastery And Task Performance In Algebra : Validity Evidence For A State Assessment, Zachary Borden Warner

Legacy Theses & Dissertations (2009 - 2024)

This study compared an expert-based cognitive model of domain mastery with student-based cognitive models of task performance for Integrated Algebra. Interpretations of student test results are limited by experts' hypotheses of how students interact with the items. In reality, the cognitive processes that students use to solve each item may be very different than those assumed by the test developers. Without knowledge of how students are actually operating on these test items and the cognitive processes they use, interpretations from the results of the examination may be compromised. In this study, I investigated the cognitive processes that students used when …

Attending High School Algebra I: In Search Of Well-Managed, Engaging, Culturally Relevant, And Caring Classrooms, Cassandra Dunn Gannett

Electronic Theses and Dissertations

The inequities in learning between the rich and the poor have become pervasive in United States. This is evidenced by the high school graduation rates, college attendance percentages, and employment statistics. Upon another wave of reform, the Common Core State Standards in mathematics are currently being adopted in hopes of increasing learning for all students, with a focus on college and career readiness. This study is intent on finding ways to remedy the inequities in mathematics between the high income and low income schools by focusing on one of the great glass ceilings to high school graduation and beyond, high …

An Analysis Of Differences In Approaches To Systems Of Linear Equations Problems Given Multiple Choice Answers, Amber Lagasse

Honors Theses and Capstones

This descriptive study focuses on the approaches college students (ages 20 -24) use when solving systems of linear equations problems that have multiple choice answers. Participants were from a midsize public university in the northeast. Four approaches were considered – three forwards approaches: 1) substitution, 2) elimination, and 3) graphing, and one backwards approach: plugging in the x and y values from each multiple choice option. Participants solved systems of linear equations problems and answered questions based on their methods in a structured clinical interview. Each participant also filled out a questionnaire. It was shown from the results of this …

Characterizing And Supporting Change In Algebra Students' Representational Fluency In A Cas/Paper-And-Pencil Environment, Nicole L. Fonger

Dissertations

Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students’ RF in learning environments that utilize both computer algebra systems (CAS) and paper-and-pencil. The purpose of this research was to: (a) characterize change in ninth-grade algebra students’ RF in solving problems involving linear equations, and (b) determine conditions of a CAS and paper-and-pencil learning environment in which those students changed their RF.

Change in RF was measured by comparing results from initial to …

Monitoring Australian Year 8 Student Achievement Internationally : Timss 2011, Sue Thomson, Kylie Hillman, Nicole Wernert

TIMSS 2011 and PIRLS 2011

The Trends in International Mathematics and Science Study (TIMSS 2011) is an international study directed by the International Association for the Evaluation of Educational Achievement (IEA). In Australia, TIMSS was managed by the Australian Council for Educational Research (ACER), and funded by the Australian and state and territory governments.

The goal of TIMSS is to provide comparative information about educational achievement across countries to improve teaching and learning in mathematics and science. It also provides comparative perspectives on trends in achievement in the context of different educational systems, school organisational approaches and instructional practices and to enable this, TIMSS collects …

The Impact Of Bilingual Treatment On The Math Skills Of Hispanic High School Algebra Students, Robert Kirk

Education Dissertations and Projects

This dissertation was designed to measure the impact of instructional techniques in the Foundations of Algebra classroom to bridge linguistic barriers between Hispanic students and the language of teaching. Two consecutive years of failing to meet anticipated yearly growth among Hispanic students in Algebra I, as determined by the North Carolina End of Course exams, indicated a cognitive gap among these students when it comes to learning mathematics.

The writer developed an experiment to be delivered among 9 sections of Algebra in a North Carolina high school. The control group used Microsoft PowerPoint slides created for every lesson plan determined …

Mathematical Thinking Of Young Children Through The Eyes Of Preschool Practitioners, Robert Hunting, Catherine Pearn

Catherine Pearn

This paper reports on interview responses to three questions seeking preschool practitioners' perceptions of mathematical thinking in very young children. Generally, the interviewees were found to have a good sense of mathematical concepts relevant to babies and toddlers, and they cited evidence of young children's mathematical development. It is concluded that this practical knowledge provides a strong foundation for further professional development. [Author abstract]

Investigating The Relationship Between High School Technology Education And Test Scores For Algebra 1 And Geometry, Richard R. Dyer, Philip A. Reed, Robert Q. Berry

STEMPS Faculty Publications

The standards-based reform movement in education that began in the 1980s has evolved. In the 1990s, the focus was on producing subject-area content standards and modifying instruction. Today, the focus has shifted to assessment, and for technology education, demonstrating the impact on children and the efficacy of the discipline within general education. The purpose of this study was to compare the Standards of Learning (SOL) End-of-Course mathematics performance of high school students who completed courses in illustration and design technology to students who have not completed an illustration and design technology course. The following research questions were developed for this …

Foundation Numeracy In Context, Dave Tout, G Motteram

David (Dave) Tout

Foundation Numeracy in Context describes an approach to teaching mathematics based on applied and contextual learning principles. This means that the teaching and learning of mathematics proceeds from a contextual, task-based and investigative point of view—where the mathematics involved is developed from a modelled situation or practical task. Practical investigations and projects are principle vehicles for student learning in such an approach. This text is written for teachers working with students who have become disengaged from learning mathematics during the middle to latter years of secondary schooling, and will likely have had limited success with mathematics. The approach used will …

An Analysis Of Tennessee Gateway Exams And The Variables Related To Student Results., Judy W. Webb

Electronic Theses and Dissertations

The purpose of this study was to examine the variables that are associated with the percentage of students who pass Tennessee's Gateway exams in high school. Associations were examined between the Gateway exams and variables such as: socioeconomic status, ethnicity, dropout rate, graduation rate, attendance, average daily membership, per-pupil expenditure, teachers' salary, and elementary-school reading scores.

Pearson correlations between school characteristics and pass rates of three Gateway exams were calculated. Schools were divided into quartiles based upon socioeconomic status and ethnicity in order to examine pass rates of the Gateway exams among different quartiles. Independent samples t tests were performed …

Association Between Three Levels Of The Algebra Curriculum In Ten Countries In Timss 1999, Alla Routitsky, Susan Zammit

Dr Alla Routitsky

No abstract provided.

Association Between Intended And Attained Algebra Curriculum In Timss 1998/1999 For Ten Countries, Alla Routitsky, Susan Zammit

Dr Alla Routitsky

The Third International Mathematics and Science Study- Repeat 1998/1999 (TIMSS) assessed the mathematics and science achievement of students in their second year of high school. In addition to achievement tests, extensive information was collected from students and teachers. Of the 38 countries that took part, the overall results in mathematics of eleven countries, including Australia were not statistically different. Following the TIMSS research model, this article examines the association between three levels of curriculum, the intended curriculum, the implemented and the attained curriculum. In particular, this paper compares the achievement in four algebra topics for those students whose teachers reported …

What We Can Learn From Timss: Comparison Of Australian And Russian Timss-R Results In Algebra, Alla Routitsky, Susan Zammit

Dr Alla Routitsky

No abstract provided.

The Analysis Of Methods Of Instruction In College Algebra And Trigonometry Courses In The Langston University Department Of Mathematics, Cristie L. Bostic

McCabe Thesis Collection

In 1978, a recurring effort was made to remedy the constant decline of test scores in the area of mathematics around the country (Milhalko, 1978). At this time educational methods of "back-to-basics" and "competency-based" programs were seen as the solutions to the drastic decline in test scores and the decrease in interest among students in mathematics courses. Seventeen years later, teachers of mathematics in both the secondary schools and universities (entry level courses) are confronted daily with students who possess a fear of mathematics, students who are unwilling, uninterested, and unable to learn the concepts in mathematics, and students who …

A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton

All Master's Theses

Relatively speaking, few studies have concerned themselves with the problem of frequent testing, and as Keys pointed out, empirical evidence, uncomplicated by differences in the amount of testing material employed, on the effects of frequent testing is, at best, scarce (14:427). Also many studies used tests and test results for direct instruction, thus introducing additional variables. Furthermore, the choice of subjects and disciplines has been limited, the better part being taken from college psychology and sociology classes or high school science classes. This investigation was not an attempt to modify previous experiments, nor was it an attempt to identify which …