Current Search: Algebra (x)
Pages


Title

A COMPUTERIZED MODEL FOR PLACEMENT AND DIAGNOSTIC TESTING IN COLLEGE REMEDIAL MATHEMATICS.

Creator

HIRMANPOUR, IRAJ., Florida Atlantic University, Brumbaugh, Douglas K.

Abstract/Description

This study uses Gagne's theory of learning hierarchies to analyze the learning tasks of a college remedial mathematics course into a sequence of subordinate tasks and designs a diagnostic test for the course based upon the model. Furthermore, a computer system that implements the diagnostic system based on the task analysis model of diagnosis is developed. The topics normally covered in college remedial mathematics courses are divided into ten major areas, and each topic is divided into a set...
Show moreThis study uses Gagne's theory of learning hierarchies to analyze the learning tasks of a college remedial mathematics course into a sequence of subordinate tasks and designs a diagnostic test for the course based upon the model. Furthermore, a computer system that implements the diagnostic system based on the task analysis model of diagnosis is developed. The topics normally covered in college remedial mathematics courses are divided into ten major areas, and each topic is divided into a set of subordinate tasks. The subdivision is expressed through statements of performance objectives. A numbering which depicts the hierarchical structures of subtasks is used, and the test design conforms to this structure. Computer programs are written to allow the program user to enter the result of task analysis and the tests to be administered. The tests can be administered via a computer terminal identify the student's mathematical deficiencies. Test results and information from the task analysis can be used to produce a report of student deficiencies. It is hypothesized that such a detailed report of the student's deficiencies will enable the instructor to prescribe an individually tailored remedial course for the student. Each student's test performance is recorded, and a computer program is provided to perform item analysis and to compute test reliability coefficients for any group of students. The result of this study is a set of computer programs which implements the task analysis model of diagnosis for any subject where hierarchical relationships can be defined. This study also provides the testing instruments for separating college freshmen into remedial and nonremedial groups and for the diagnostic testing of the remedial group. It is concluded that the digital computer can be used to implement the task analysis model of diagnosis and that the software provided should be helpful to those who want to design and evaluate diagnostic tests.
Show less

Date Issued

1980

PURL

http://purl.flvc.org/fcla/dt/11774

Subject Headings

MathematicsRemedial teachingAbility testing, AlgebraStudy and teaching (Higher)

Format

Document (PDF)


Title

AN ANALYSIS OF THE ABILITY OF SELECTED VARIABLES TO PREDICT THE PROBABILITY AND DEGREE OF SUCCESS IN A COMMUNITY COLLEGE INTERMEDIATE ALGEBRA COURSE.

Creator

MEDUSKY, JOHN WILLIAM., Florida Atlantic University

Abstract/Description

The purpose of this study was to determine whether it was possible to construct a profile for an individual which would predict whether he would succeed in a community college intermediate algebra course, and whether it was possible to predict the grade the individual would receive in the course. The problem generating the study was the high dropout rate for the intermediate algebra course offered at the institution of the researcher, Broward Community College, Broward County, Florida. The...
Show moreThe purpose of this study was to determine whether it was possible to construct a profile for an individual which would predict whether he would succeed in a community college intermediate algebra course, and whether it was possible to predict the grade the individual would receive in the course. The problem generating the study was the high dropout rate for the intermediate algebra course offered at the institution of the researcher, Broward Community College, Broward County, Florida. The set of eight possible predictors used in the study were mathematical aptitude score, mathematical achievement score, reading comprehension score, age at the beginning of the term, elapsed time since last successful completion of a mathematics course, number of credit hours being carried. sex of the individual and hours of employment per week. The major conclusions reached were that the classification functions developed demonstrated the ability to: 1) Predict a grade exactly with a probability of at least 0.34. 2) Predict a grade within one grade level with a probability of at least 0.65. 3) Identify at least 60 percent of failures at the initiation of the course.
Show less

Date Issued

1978

PURL

http://purl.flvc.org/fcla/dt/11714

Subject Headings

Mathematical abilityTesting, AlgebraStudy and teachingFlorida

Format

Document (PDF)


Title

Efficient implementation of zeroknowledge based identification protocols.

Creator

Barella, Michelle Elizabeth., Florida Atlantic University, Mullin, Ronald C.

Abstract/Description

A zero knowledge identification protocol is an interactive proof system that allows a person to prove that he knows a secret key associated with his identity without revealing the secret key. This type of protocol is the topic of a fairy tale, by Gustavus Simmons called the King's Dilemma, about a king and the problem he has with thieves impersonating his tax collectors. It describes a zeroknowledge identification protocol that will rid the king of his problem. I present this system, the...
Show moreA zero knowledge identification protocol is an interactive proof system that allows a person to prove that he knows a secret key associated with his identity without revealing the secret key. This type of protocol is the topic of a fairy tale, by Gustavus Simmons called the King's Dilemma, about a king and the problem he has with thieves impersonating his tax collectors. It describes a zeroknowledge identification protocol that will rid the king of his problem. I present this system, the motivation for this thesis, and the transformations from this protocol, that uses lead weights and containers, to protocols that use mathematical elements. The security of these protocols is determined by the complexity of the underlying mathematical problem, such as the knapsack and discrete logarithm problem, and three properties: completeness, soundness, and zero knowledge.
Show less

Date Issued

2004

PURL

http://purl.flvc.org/fcla/dt/13181

Subject Headings

Cryptography, Telecommunication systemsSecurity measures, Knapsack problem (Mathematics), Mathematical optimization, Finite fields (Algebra), Data encryption (Computer science)

Format

Document (PDF)


Title

Computing topological dynamics from time series.

Creator

Wess, Mark., Charles E. Schmidt College of Science, Department of Mathematical Sciences

Abstract/Description

The topological entropy of a continuous map quantifies the amount of chaos observed in the map. In this dissertation we present computational methods which enable us to compute topological entropy for given time series data generated from a continuous map with a transitive attractor. A triangulation is constructed in order to approximate the attractor and to construct a multivalued map that approximates the dynamics of the linear interpolant on the triangulation. The methods utilize...
Show moreThe topological entropy of a continuous map quantifies the amount of chaos observed in the map. In this dissertation we present computational methods which enable us to compute topological entropy for given time series data generated from a continuous map with a transitive attractor. A triangulation is constructed in order to approximate the attractor and to construct a multivalued map that approximates the dynamics of the linear interpolant on the triangulation. The methods utilize simplicial homology and in particular the Lefschetz Fixed Point Theorem to establish the existence of periodic orbits for the linear interpolant. A semiconjugacy is formed with a subshift of nite type for which the entropy can be calculated and provides a lower bound for the entropy of the linear interpolant. The dissertation concludes with a discussion of possible applications of this analysis to experimental time series.
Show less

Date Issued

2008

PURL

http://purl.flvc.org/FAU/186294

Subject Headings

Algebraic topology, Graph theory, Fixed point theory, Singularities (Mathematics)

Format

Document (PDF)


Title

The Impact of “Real World” Experiences through Academic Service Learning on Students’ Success Rate, Attitudes, and Motivation in Intermediate Algebra at a Public University.

Creator

Toussaint, Mario J., Furner, Joseph M., Florida Atlantic University, College of Education, Department of Curriculum, Culture, and Educational Inquiry

Abstract/Description

A report issued in 2012 by the United States Government Accountability Office (US Government Accountability Office, 2012) concluded that the United States is not producing enough graduates in Science, Technology, Engineering, and Mathematics (STEM) to meet the demands of its economy. According to the National Center for Educational Statistics (2001), fewer than fifty percent of students nationally possess a solid command of mathematical content. This study tested whether the insertion of...
Show moreA report issued in 2012 by the United States Government Accountability Office (US Government Accountability Office, 2012) concluded that the United States is not producing enough graduates in Science, Technology, Engineering, and Mathematics (STEM) to meet the demands of its economy. According to the National Center for Educational Statistics (2001), fewer than fifty percent of students nationally possess a solid command of mathematical content. This study tested whether the insertion of Academic Service Learning (ASL) into intermediate algebra courses improved students’ performance, their motivation to learn the subject, and attitudes towards mathematics learning. ASL is an educational strategy that integrates meaningful community service with instruction and reflection to enrich the learning experience, teach civic responsibility, and strengthen communities (Duffy, Barrington, West, Heredia, & Barry, 2011). The subjects in this study were thirtyfour students enrolled in intermediate algebra at a large public university in southeast Florida. The participant group consisted of fifteen students who completed the requirements of the ASL program and the comparison group consisted of nineteen students who initially showed interest in the program but dropped out of the study early in the semester. Through a mixed method analysis, the study found that the proportion of students who passed the course in the ASL group was greater than the proportion of students in the nonASL group. Similarly, the mean final course grade in the ASL group was higher than the mean final course grade in the nonASL group. The results of the qualitative analyses showed that all the participants enjoyed the ASL experience. In addition, some participants felt that the ASL project raised their motivation to learn mathematics and increased their competence in mathematics. However, both quantitative and qualitative analyses revealed that the students’ participation in the ASL project did not affect their attitudes towards mathematics learning. The study concluded that Academic Service Learning has the potential to help improve students’ success rates in developmental mathematics courses as well as increase their motivation to learn the subject.
Show less

Date Issued

2016

PURL

http://purl.flvc.org/fau/fd/FA00004739, http://purl.flvc.org/fau/fd/FA00004739

Subject Headings

Action research in education., Service learning., Universities and collegesPublic services., Teacherstudent relationships., AlgebraStudy and teaching (Higher), Educational technologyEvaluation., Motivation in education., Academic achievement.

Format

Document (PDF)


Title

Academic performance and demographic variables in predicting success in college algebra and graduation rates in an urban multicampus community college.

Creator

Pedersen, Ginger Lee., Florida Atlantic University, Decker, Larry E.

Abstract/Description

The purpose of this study was to develop a model to predict success in college algebra and in Associate in Arts graduation, and to examine the relationship between placing in one or more developmental education courses and Associate in Arts graduation. The study was conducted at a large urban community college in Palm Beach County, Florida with 1,142 firsttimeincollege students who took the College Placement Test (CPT) as their entrance examination. The study was designed to determine...
Show moreThe purpose of this study was to develop a model to predict success in college algebra and in Associate in Arts graduation, and to examine the relationship between placing in one or more developmental education courses and Associate in Arts graduation. The study was conducted at a large urban community college in Palm Beach County, Florida with 1,142 firsttimeincollege students who took the College Placement Test (CPT) as their entrance examination. The study was designed to determine whether students' gender, age, ethnicity, grade point average (GPA), English language proficiency, nontraditional status, placement scores and number of developmental courses could predict a students' success in college algebra and graduating with the Associate in Arts degree, and how placing in one or more developmental course was correlated with graduating with the Associate in Arts degree. Three research hypotheses were developed to determine any significant predictive ability among the variables studied. Hypotheses 1 and 2 used discriminant analysis to determine the predicative ability of identified variables and hypothesis 3 used a Pearson productmoment correlation coefficient to assess the relationship of placing into one or more developmental courses on graduating with the Associate in Arts degree. All hypotheses were tested at the .05 level of significance. The results of the study indicated that for hypothesis 1 the variables of GPA, number of developmental courses, level of mathematics courses and mathematics placement score were all significant predictors. For hypothesis 2, the variables of GPA, placement scores in reading and writing, and the number of developmental courses were all significant predictors. For hypothesis 3, the number of developmental courses that a student tested into did have a significant relationship with the student's receiving an Associate in Arts degree. The results are discussed in relation to ensuring that students are better prepared for collegelevel work by a series of recommendations relating to collaborative efforts between community colleges and local high school districts. In addition, recommendations are made to realign the developmental mathematics curriculum to effectively prepare students for subsequent collegelevel mathematics courses.
Show less

Date Issued

2004

PURL

http://purl.flvc.org/fau/fd/FADT12083

Subject Headings

Community collegesFloridaPalm Beach CountySociological aspects, Community college studentsFloridaPalm Beach CountyStatistics, Academic achievementFloridaPalm Beach County, Postsecondary educationResearchFloridaPalm Beach County, Algebra

Format

Document (PDF)
Pages