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Title: An Exploratory Comparison of a Traditional and an Adaptive Instructional Approach for College Algebra.
Creator: Kasha, Ryan, Kincaid, John, Wiegand, Rudolf, Hartshorne, Richard, Morris, Cliff, University of Central Florida
Abstract / Description: This research effort compared student learning gains and attitudinal changes through the implementation of two varying instructional approaches on the topic of functions in College Algebra. Attitudinal changes were measured based on the Attitude Towards Mathematics Inventory (ATMI). The ATMI also provided four sub-scales scores for self-confidence, value of learning, enjoyment, and motivation. Furthermore, this research explored and compared relationships between students' level of mastery...
Show moreThis research effort compared student learning gains and attitudinal changes through the implementation of two varying instructional approaches on the topic of functions in College Algebra. Attitudinal changes were measured based on the Attitude Towards Mathematics Inventory (ATMI). The ATMI also provided four sub-scales scores for self-confidence, value of learning, enjoyment, and motivation. Furthermore, this research explored and compared relationships between students' level of mastery and their actual level of learning. This study implemented a quasi-experimental research design using a sample that consisted of 56 College Algebra students in a public, state college in Florida. The sample was enrolled in one of two College Algebra sections, in which one section followed a self-adaptive instructional approach using ALEKS (Assessment and Learning in Knowledge Space) and the other section followed a traditional approach using MyMathLab. Learning gains in each class were measured as the difference between the pre-test and post-test scores on the topic of functions in College Algebra. Attitude changes in each class were measured as the difference between the holistic scores on the ATMI, as well as each of the four sub-scale scores, which was administered once in the beginning of the semester and again after the unit of functions, approximately eight weeks into the course. Utilizing an independent t-test, results indicated that there was not a significant difference in actual learning gains for the compared instructional approaches. Additionally, independent t-test results indicated that there was not a statistical difference for attitude change holistically and on each of the four sub-scales for the compared instructional approaches. However, correlational analyses revealed a strong relationship between students' level of mastery learning and their actual learning level for each class with the self-adaptive instructional approach having a stronger correlation than the non-adaptive section, as measured by an r-to-z Fisher transformation test. The results of this study indicate that the self-adaptive instructional approach using ALEKS could more accurately report students' true level of learning compared to a non-adaptive instructional approach. Overall, this study found the compared instructional approaches to be equivalent in terms of learning and effect on students' attitude. While not statistically different, the results of this study have implications for math educators, instructional designers, and software developers. For example, a non-adaptive instructional approach can be equivalent to a self-adaptive instructional approach in terms of learning with appropriate planning and design. Future recommendations include further case studies of self-adaptive technology in developmental and college mathematics in other modalities such as hybrid or on-line courses. Also, this study should be replicated on a larger scale with other self-adaptive math software in addition to focusing on other student populations, such as K - 12. There is much potential for intelligent tutoring to supplement different instructional approaches, but should not be viewed as a replacement for teacher-to-student interactions.
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Date Issued: 2015
Identifier: CFE0005963, ucf:50821
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0005963

Title: The relationship between participation in tutoring and accountability outcomes in three urban middle schools.
Creator: Rajadhyax, Pamela, Taylor, Rosemarye, Doherty, Walter, Baldwin, Lee, Fritz, Ronald, University of Central Florida
Abstract / Description: This quantitative study was conducted to determine the relationship between participation in a school based tutoring and change in accountability measures on the Florida Standards Assessment (FSA) in Mathematics and English Language Arts (ELA) in the 2014-2015 and 2015-2016 school years. The research was designed to determine the impact of participation in tutoring for urban middle school students. All students who attended one of the three urban middle schools and participated in the...
Show moreThis quantitative study was conducted to determine the relationship between participation in a school based tutoring and change in accountability measures on the Florida Standards Assessment (FSA) in Mathematics and English Language Arts (ELA) in the 2014-2015 and 2015-2016 school years. The research was designed to determine the impact of participation in tutoring for urban middle school students. All students who attended one of the three urban middle schools and participated in the administration of FSA for mathematics or ELA in both the 2014-2015 and 2015-2016 school years were divided into two groups: students who participated in school based tutoring and students who did not participate in school based tutoring. The results from this study unveiled the relationship between participating in school based tutoring and change in accountability measures on state assessments. The relationship of participation in tutoring and change in accountability measures was identified for all students, English learners, and students with disabilities who participated in school based tutoring and those who did not participate in school based tutoring. Lastly, the difference in mean change of accountability measures and participation by delivery model of school based tutoring: computer-based tutoring, small group tutoring, and a mixed mode of computer-based and small group tutoring was assessed. Findings from Pearson Correlations, independent samples t-test, and one-way ANOVA did not indicate a statistical significance between change on accountability measures and participation in tutoring based on subgroups, delivery model, or grade level assessed. Though this study found no statistical significance, several of the mean changes on accountability measures based on subgroups, tutoring delivery models, or grade level was higher for students who participated in tutoring than for students who did not participate in tutoring. There is still much to be understood about the impacts of tutoring on student achievement.
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Date Issued: 2017
Identifier: CFE0006782, ucf:51823
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0006782

Title: Supporting Middle School Students with Emotional or Behavioral Disorders in Blended Learning: A Fraction Intervention using Virtual Manipulatives.
Creator: Serianni, Barbara, Dieker, Lisa, Marino, Matthew, Vasquez, Eleazar, Basham, James, University of Central Florida
Abstract / Description: Students with emotional or behavioral disorders (EBD) are more likely than other students with disabilities to drop out of school (Blackorby (&) Wagner, 1996) and suffer societal consequences that include higher probabilities and rates of incarceration, poverty, drug abuse, homelessness, low wages, and unemployment (Bradley, Doolittle, (&) Bartolotta, 2008; Wagner, 1995). High school graduation is a critical factor to improve post-secondary outcomes for students with EBD; yet it is often...
Show moreStudents with emotional or behavioral disorders (EBD) are more likely than other students with disabilities to drop out of school (Blackorby (&) Wagner, 1996) and suffer societal consequences that include higher probabilities and rates of incarceration, poverty, drug abuse, homelessness, low wages, and unemployment (Bradley, Doolittle, (&) Bartolotta, 2008; Wagner, 1995). High school graduation is a critical factor to improve post-secondary outcomes for students with EBD; yet it is often mathematics, specifically algebra, that stands in the way of graduation (Blackorby (&) Wagner). Students with EBD often enter middle school lacking foundational mathematics skills, such as fractions, which sets them up to struggle with pre-algebra and ultimately fail algebra (U.S. Department of Education, 2008). The purpose of this study was to improve the ability of middle school students with EBD to access online grade-level mathematics content by providing fraction remediation to improve conceptual fraction knowledge and procedural fluency. The intervention consisted of Initial Fraction Ideas, an intervention curriculum from the Rational Number Project (RNP; Cramer, Behr, Post, (&) Lesh, 2009), in conjunction with three online virtual manipulatives (VM). The unique blended learning environment of this study provided the opportunity to evaluate the use of an evidence-based fraction intervention, in conjunction with VMs, in a single subject, multiple baseline across subjects design. Fluency data was gathered from daily fraction addition assessments (FAA) administered after each intervention session. A second component of the study featured a non-experimental repeated measures design that assessed student conceptual understanding of fraction equivalency through the administration of pre, post, and delayed-post Equivalent Fraction Tests (EFT). The intervention was effective in producing increases in median group fluency with high effect sizes, across three replications, establishing a functional relationship between the intervention and the dependent variable for these groups of students with EBD. In addition, all groups posted mean gains in equivalent fraction knowledge from pre to post-EFT, and maintained those gains for at least 15 days after the intervention concluded.
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Date Issued: 2014
Identifier: CFE0005415, ucf:50435
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0005415

Title: Investigating the relationships between preferences, gender, and high school students' geometry performance.
Creator: Mainali, Bhesh, Haciomeroglu, Erhan, Dixon, Juli, Andreasen, Janet, Bai, Haiyan, University of Central Florida
Abstract / Description: In this quantitative study, the relationships between high school students' preference for solution methods, geometry performance, task difficulty, and gender were investigated. The data was collected from 161 high school students from six different schools at a county located in central Florida in the United States. The study was conducted during the 2013(-)2014 school year. The participants represented a wide range in socioeconomic status, were from a range of grades (10-12), and were...
Show moreIn this quantitative study, the relationships between high school students' preference for solution methods, geometry performance, task difficulty, and gender were investigated. The data was collected from 161 high school students from six different schools at a county located in central Florida in the United States. The study was conducted during the 2013(-)2014 school year. The participants represented a wide range in socioeconomic status, were from a range of grades (10-12), and were enrolled in different mathematics courses (Algebra 2, Geometry, Financial Algebra, and Pre-calculus). Data were collected primarily with the aid of a geometry test and a geometry questionnaire. Using a think-aloud protocol, a short interview was also conducted with some students.For the purpose of statistical analysis, students' preferences for solution methods were quantified into numeric values, and then a visuality score was obtained for each student. Students' visuality scores ranged from -12 to +12. The visuality scores were used to assess students' preference for solution methods. A standardized test score was used to measure students' geometry performance. The data analysis indicated that the majority of students were visualizers. The statistical analysis revealed that there was not an association between preference for solution methods and students' geometry performance. The preference for solving geometry problems using either visual or nonvisual methods was not influenced by task difficulty. Students were equally likely to employ visual as well as nonvisual solution methods regardless of the task difficulty. Gender was significant in geometry performance but not in preference for solution methods. Female students' geometry performance was significantly higher than male students' geometry performance. The findings of this study suggested that instruction should be focused on incorporating both visual and nonvisual teaching strategies in mathematics lesson activities in order to develop preference for both visual and nonvisual solution methods.
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Date Issued: 2014
Identifier: CFE0005374, ucf:50448
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0005374

Title: The Impact of Elementary Mathematics Workshops on Mathematics Knowledge for Parenting (MKP) and Beliefs About Learning Mathematics.
Creator: Eisenreich, Heidi, Dixon, Juli, Ortiz, Enrique, Andreasen, Janet, Brooks, Lisa, Hahs-Vaughn, Debbie, University of Central Florida
Abstract / Description: The purpose of this study was to investigate the extent to which parents of first, second, and third grade students who attended a two-day workshop on mathematics strategies differed on average and over time, as compared to parents who did not attend the workshops. The following areas were measured: mathematics content knowledge, beliefs about learning mathematics, ability to identify correct student responses regarding mathematics, ability to identify student errors in solving mathematics...
Show moreThe purpose of this study was to investigate the extent to which parents of first, second, and third grade students who attended a two-day workshop on mathematics strategies differed on average and over time, as compared to parents who did not attend the workshops. The following areas were measured: mathematics content knowledge, beliefs about learning mathematics, ability to identify correct student responses regarding mathematics, ability to identify student errors in solving mathematics problems, methods used to solve problems, and comfort level with manipulatives.
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Date Issued: 2016
Identifier: CFE0006101, ucf:52877
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0006101

Title: VERIFICATION OF PILOT-SCALE IRON RELEASE MODELS.
Creator: Glatthorn, Stephen, Taylor, James, University of Central Florida
Abstract / Description: A model for the prediction of color release from a pilot distribution system was created in 2003 by Imran. This model allows prediction of the release of color from aged cast iron and galvanized steel pipes as a function of water quality and hydraulic residence time. Color was used as a surrogate measurement for iron, which exhibited a strong linear correlation. An anomaly of this model was an absence of a term to account for pH, due to the influent water being well stabilized. A new study...
Show moreA model for the prediction of color release from a pilot distribution system was created in 2003 by Imran. This model allows prediction of the release of color from aged cast iron and galvanized steel pipes as a function of water quality and hydraulic residence time. Color was used as a surrogate measurement for iron, which exhibited a strong linear correlation. An anomaly of this model was an absence of a term to account for pH, due to the influent water being well stabilized. A new study was completed to evaluate the effectiveness of corrosion inhibitors against traditional adjustment. Two control lines were supplied with nearly same water qualities, one at pH close to pHs and one at pH well above pHs. The resulting data showed that effluent iron values were typically greater in the line with lower pH. The non-linear color model by Imran shows good agreement when the LSI was largely positive, but underpredicted the color release from the lower LSI line. A modification to the Larson Ratio proposed by Imran was able to give a reasonable agreement to the data at lower LSI values. LSI showed no definite relation to iron release, although a visual trend of higher LSI mitigating iron release can be seen. An iron flux model was also developed on the same pilot system by Mutoti. This model was based on a steady state mass balance of iron in a pipe. The constants for the model were empirically derived from experiments at different hydraulic conditions with a constant water quality. Experiments were assumed to reach steady state at 3 pipe volumes due to the near constant effluent turbidity achieved at this point. The model proposes that the iron flux under laminar flow conditions is constant, while the iron flux is linearly related to the Reynolds Number under turbulent conditions. This model incorporates the color release models developed by Imran to calculate flux values from different water qualities. A limited number of experiments were performed in the current study using desalinated and ground water sources at Reynolds Numbers ranging from 50 to 200. The results of these limited experiments showed that the iron flux for cast iron pipe was approximately one-half of the predicted values from Mutoti. This discrepancy may be caused by the more extensive flushing of the pipes performed on the current experiments which allowed attainment of a true steady state. Model changes were proposed to distinguish between near stagnant flow and the upper laminar region, with the upper laminar region showing a slight linear increase. Predictions using the galvanized flux model were not accurate due to an inferior color release model that was developed for galvanized pipes. The model exhibits a high dependence on sulfate concentrations, but concentrations of sulfates in the current experiments were low. This led to low predicted flux values when the actual data showed otherwise. A new galvanized model was developed from a combination of data from the original and current experiments. The predicted flux values using the new model showed great improvement over the old model, but the new model database was limited and the resulting model was not able to be independently tested.
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Date Issued: 2007
Identifier: CFE0001704, ucf:47332
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0001704

Title: COMPARING ASSESSMENT METHODS AS PREDICTORS OF STUDENT LEARNING IN UNDERGRADUATE MATHEMATICS.
Creator: Shorter, Nichole, Young, Cynthia, University of Central Florida
Abstract / Description: This experiment was designed to determine which assessment method: continuous assessment (in the form of daily in-class quizzes), cumulative assessment (in the form of online homework), or project-based learning, best predicts student learning (dependent upon posttest grades) in an undergraduate mathematics course. Participants included 117 university-level undergraduate freshmen enrolled in a course titled "Mathematics for Calculus". Initially, a multiple regression model was formulated to...
Show moreThis experiment was designed to determine which assessment method: continuous assessment (in the form of daily in-class quizzes), cumulative assessment (in the form of online homework), or project-based learning, best predicts student learning (dependent upon posttest grades) in an undergraduate mathematics course. Participants included 117 university-level undergraduate freshmen enrolled in a course titled "Mathematics for Calculus". Initially, a multiple regression model was formulated to model the relationship between the predictor variables (the continuous assessment, cumulative assessment, and project scores) versus the outcome variable (the posttest scores). However, due to the possibility of multicollinearity present between the cumulative assessment predictor variable and the continuous assessment predictor variable, a stepwise regression model was implemented and caused the cumulative assessment predictor variable to be forced out of the resulting model, based on the results of statistical significance and hypothesis testing. The finalized stepwise regression model included continuous assessment scores and project scores as predictor variables of students' posttest scores with a 99% confidence level. Results indicated that ultimately the continuous assessment scores best predicted students' posttest scores.
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Date Issued: 2008
Identifier: CFE0002432, ucf:47704
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0002432

Title: UCF UPWARD BOUND PROGRAM: PROMOTING FIRST GENERATION IN COLLEGE, LOW INCOME AND MULTICULTURAL STUDENTS STEM COLLEGE SUCCESS.
Creator: Restrepo, Christina, McCloud, Rebekah, University of Central Florida
Abstract / Description: The objective of this research is to explore the perceptions of UCF Upward Bound Program participants using focus groups and pre-posttest surveys in order to assess students level of understanding of Science, Technology, Engineering, and Mathematics (STEM) related coursework, secondary education preparation in science and mathematics, and their perceptions of barriers to a STEM college education. Also, this study centers on the summer 2010 science and mathematics residential portion of the...
Show moreThe objective of this research is to explore the perceptions of UCF Upward Bound Program participants using focus groups and pre-posttest surveys in order to assess students level of understanding of Science, Technology, Engineering, and Mathematics (STEM) related coursework, secondary education preparation in science and mathematics, and their perceptions of barriers to a STEM college education. Also, this study centers on the summer 2010 science and mathematics residential portion of the Upward Bound Program. Program outcomes and effectiveness were evaluated based on the change in student insight of the Upward Bound Programs stake in their secondary education. In addition, pre-posttest measures and interviews allowed a greater understanding of teacher and parent involvement in high school coursework success. Factors that involve self-efficacy, same or other group orientation and perceptions of student college environment were also analyzed. This research facilitated the understanding of first generation, low income and multicultural students perceptions and what they view as a benefit or a hindrance to entering and successfully completing degrees in post-secondary institutions, specifically in STEM-related disciplines.
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Date Issued: 2011
Identifier: CFH0003808, ucf:44766
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFH0003808

Title: A comparison of sixth-grade English language arts and mathematics achievement between middle schools and K-8 schools.
Creator: Asplen, Brennan, Johnson, Jerry, Doherty, Walter, Ortiz, Enrique, Shope, Shane, University of Central Florida
Abstract / Description: The purpose of this study was to compare the academic achievement of sixth grade students enrolled in a traditional middle school model versus those enrolled in a K-8 school model by analyzing English Language Arts (ELA) and mathematics scores. Developmental Scale Score (DSS) data from the 2017 Florida Standards Assessment (FSA) were collected from three K-8 schools and three middle schools in one high-performing Florida school district. Results from an independent samples t-test revealed...
Show moreThe purpose of this study was to compare the academic achievement of sixth grade students enrolled in a traditional middle school model versus those enrolled in a K-8 school model by analyzing English Language Arts (ELA) and mathematics scores. Developmental Scale Score (DSS) data from the 2017 Florida Standards Assessment (FSA) were collected from three K-8 schools and three middle schools in one high-performing Florida school district. Results from an independent samples t-test revealed that middle school student scores were slightly higher in overall ELA and mathematics proficiency, but the differences were not substantive. Cross-tabulation was utilized to compute the proportion of students making learning gains in ELA and mathematics. The results were nearly identical among the middle school students and the K-8 students relative to ELA; however, the proportion of students making learning gains in mathematics was substantially higher among the K-8 students. To investigate equity in the distribution of achievement, a comparison was made between Middle School and K-8 bi-serial correlation coefficients measuring the strength and direction of the relationship between student achievement and socioeconomic status (SES). Results suggested that the negative influence of low-SES on academic achievement in ELA and mathematics was notably stronger among students enrolled in the middle school model. While making school construction decisions, policy makers will be informed through these findings as to which type of grade span configuration is most likely to positively impact student achievement.
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Date Issued: 2019
Identifier: CFE0007599, ucf:52550
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0007599

Title: The AfterMath: A Culturally Responsive Mathematical Intervention to Aid Students Affected by Natural Disasters.
Creator: Kurtz, Brianna, Haciomeroglu, Erhan, Bush, Sarah, Safi, Farshid, Biraimah, Karen, University of Central Florida
Abstract / Description: On September 20, 2017, Hurricane Maria struck the island of Puerto Rico. The damage was extensive, and many people found themselves to be natural disaster refugees. As a result, schools in Central Florida saw an influx of new students who had their educations interrupted by the disaster and now were resuming school in a new language of instruction. These students not only faced linguistic challenges but also academic differences due to the high prevalence of poverty and the effects of...
Show moreOn September 20, 2017, Hurricane Maria struck the island of Puerto Rico. The damage was extensive, and many people found themselves to be natural disaster refugees. As a result, schools in Central Florida saw an influx of new students who had their educations interrupted by the disaster and now were resuming school in a new language of instruction. These students not only faced linguistic challenges but also academic differences due to the high prevalence of poverty and the effects of neocolonialism in their previous schooling. This mixed methods study implemented an intensive intervention in probability to aid students in developing mathematical understanding and forming meaningful connections. Student participants, who had been affected by Hurricane Maria, were now attending a public high school and were paired one-on-one with a bilingual, mathematically high performing student mentor to complete culturally responsive, bilingual probability tasks. Data collection occurred over the course of six weeks in fall 2019. Both mentor and mentee students participated in focus group interviews, and the mentees completed a probability pre-test and post-test. Student participants were found to have statistically significant increases in the understanding of probability concepts when comparing pre-intervention and post-intervention results, with the understanding and usage of the multiplication rule showing the most significant improvement. Both mentors and mentees reported feeling a stronger sense of unity and belonging post-intervention as well as improvement in bilingual academic vocabulary. With the impact of natural disasters on the rise, implications of this study include its adaption to respond to future displaced students as they resume schooling post-interruption in Central Florida and beyond.
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Date Issued: 2019
Identifier: CFE0007828, ucf:52820
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0007828

Title: ANALYSIS OF THE RELATIONSHIP BETWEEN THE LEVEL OF EDUCATIONAL COMPUTER GAME USE AND MILKEN EXEMPLAR TEACHER INSTRUCTIONAL STRATEGIES.
Creator: Dahan Marks, Yaela, Proctor, Michael, University of Central Florida
Abstract / Description: This research examines the nature and level of educational computer-based game techniques adoption by Milken Educator Award winning teachers in achieving success in their classrooms. The focus of the research is on their level of acceptance of educational computer-based games and the nature of game usage to increase student performance in the classroom. With Davis' (1985) Technology Acceptance Model (Davis, 1985) as the conceptual framework, the research also examines how teachers'...
Show moreThis research examines the nature and level of educational computer-based game techniques adoption by Milken Educator Award winning teachers in achieving success in their classrooms. The focus of the research is on their level of acceptance of educational computer-based games and the nature of game usage to increase student performance in the classroom. With Davis' (1985) Technology Acceptance Model (Davis, 1985) as the conceptual framework, the research also examines how teachers' perceptions of educational computer-based games influence their willingness to incorporate these teaching methods in their classroom. The approach utilizes a descriptive survey to develop and evaluate responses from exemplar teachers about the level and nature of their use (or lack thereof) of educational computer-based games and implementation in the classroom. Further, this research seeks to identify successful and unsuccessful techniques in the use of educational computer-based games in the classroom. In addition, data collection and analysis will seek to identify the strength of relationships between content-specific educational computer-based games and subject; educational computer-based games and gender; educational computer-based games and age; etc. A teacher who is exemplary as defined by Milken Educator Awards possesses, "exceptional educational talent as evidenced by effective instructional practices and student learning results in the classroom and school". Survey findings are placed within the Technology Acceptance Model framework developed by Davis.
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Date Issued: 2011
Identifier: CFE0003682, ucf:48811
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0003682

Title: THE RELATIONSHIP BETWEEN THINKING MAPSÃ‚Â® AND FLORIDA COMPREHENSIVE ASSESSMENT TESTÃ‚Â® READING AND MATHEMATICS SCORES IN TWO URBAN MIDDLE SCHOOLS.
Creator: Diaz, Anna, Martin, Suzanne, University of Central Florida
Abstract / Description: The purpose of this study was to determine what difference, if any, exists between the implementation and use of Thinking MapsÃ‚Â® and studentsÃ‚Â' academic achievement in Reading and Mathematics as measured over time by the Florida Comprehensive Assessment TestÃ‚Â® (FCAT). Thinking MapsÃ‚Â® is a registered trademark of Thinking Maps, Inc. The data were examined after three years of Thinking MapsÃ&...
Show moreThe purpose of this study was to determine what difference, if any, exists between the implementation and use of Thinking MapsÃ‚Â® and studentsÃ‚Â' academic achievement in Reading and Mathematics as measured over time by the Florida Comprehensive Assessment TestÃ‚Â® (FCAT). Thinking MapsÃ‚Â® is a registered trademark of Thinking Maps, Inc. The data were examined after three years of Thinking MapsÃ‚Â® implementation and instruction. The design of this study was quantitative, with a nonrandomized control group, pretest-posttest design (Ary, Jacobs, & Razavieh, 2002) that examined the effects on student Reading and Mathematics FCAT scores in one middle school that implemented Thinking MapsÃ‚Â® throughout all grade levels and core subjects for three years as compared to student Reading and Mathematics FCAT scores in a second middle school that did not implement the Thinking MapsÃ‚Â® program throughout all grade levels and core subjects for three years. MANOVA and Chi-square tests were used to examine student FCAT scores. This study focused on one major question: Do students who have been instructed in the use of Thinking MapsÃ‚Â® have higher academic achievement as measured by the Florida Comprehensive Assessment TestÃ‚Â® (FCAT) than those that have not been instructed in the use of Thinking MapsÃ‚Â®? Results of this study indicated that students who have been instructed in the use of Thinking MapsÃ‚Â® do not have higher academic achievement as measured by the Florida Comprehensive Assessment TestÃ‚Â® (FCAT) than those who have not been instructed in the use of Thinking MapsÃ‚Â®. The researcher concluded that other methods of evaluating the implementation of Thinking MapsÃ‚Â® and student achievement should be explored.
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Date Issued: 2010
Identifier: CFE0003319, ucf:48448
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0003319

Title: Secondary and Postsecondary Calculus Instructors' Expectations of Student Knowledge of Functions: A Multiple-case Study.
Creator: Avila, Cheryl, Ortiz, Enrique, Dixon, Juli, Hynes, Michael, Andreasen, Janet, Mohapatra, Ram, University of Central Florida
Abstract / Description: This multiple-case study examines the explicit and implicit assumptions of six veteran calculus instructors from three types of educational institutions, comparing and contrasting their views on the iteration of conceptual understanding and procedural fluency of pre-calculus topics. There were three components to the research data recording process. The first component was a written survey, the second component was a (")think-aloud(") activity of the instructors analyzing the results of a...
Show moreThis multiple-case study examines the explicit and implicit assumptions of six veteran calculus instructors from three types of educational institutions, comparing and contrasting their views on the iteration of conceptual understanding and procedural fluency of pre-calculus topics. There were three components to the research data recording process. The first component was a written survey, the second component was a (")think-aloud(") activity of the instructors analyzing the results of a function diagnostic instrument administered to a calculus class, and for the third component, the instructors responded to two quotations. As a result of this activity, themes were found between and among instructors at the three types of educational institutions related to their expectations of their incoming students' prior knowledge of pre-calculus topics related to functions. Differences between instructors of the three types of educational institutions included two identifiable areas: (1) the teachers' expectations of their incoming students and (2) the methods for planning instruction. In spite of these differences, the veteran instructors were in agreement with other studies' findings that an iterative approach to conceptual understanding and procedural fluency are necessary for student understanding of pre-calculus concepts.
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Date Issued: 2013
Identifier: CFE0004809, ucf:49758
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0004809

Title: Effects of a Mathematics Graphic Organizer and Virtual Video Modeling on the Word Problem Solving Abilities of Students with Disabilities.
Creator: Delisio, Lauren, Dieker, Lisa, Vasquez, Eleazar, Hines, Rebecca, Dixon, Juli, University of Central Florida
Abstract / Description: Over the last decade, the inclusion of students with disabilities (SWD) in the general education classroom has increased. Currently, 60% of SWD spend 80% or more of their school day in the general education classroom (U.S. Department of Education, 2013). This includes students with autism spectrum disorders (ASD), a developmental disability characterized by impairments in behavior, language, and social skills (American Psychological Association, 2013). Many of these SWD struggle with...
Show moreOver the last decade, the inclusion of students with disabilities (SWD) in the general education classroom has increased. Currently, 60% of SWD spend 80% or more of their school day in the general education classroom (U.S. Department of Education, 2013). This includes students with autism spectrum disorders (ASD), a developmental disability characterized by impairments in behavior, language, and social skills (American Psychological Association, 2013). Many of these SWD struggle with mathematics in the elementary grades; fewer than 20% of SWD are proficient in mathematics when they begin middle school, compared to 45% of their peers without disabilities. Furthermore, 83% of SWD are performing at the basic or below basic level in mathematics in the fourth grade (U.S. Department of Education, 2013). As the rate of ASD continues to increase (Centers for Disease Control, 2013), the number of students with this disability who are included in the general education classroom also continues to rise. These SWD and students with ASD are expected to meet the same rigorous mathematics standards as their peers without disabilities. This study was an attempt to address the unique needs of SWD and students with ASD by combining practices rooted in the literature, strategy instruction and video modeling.The purpose of this study was to determine the effects of an intervention on the ability of students with and without disabilities in inclusive fourth and fifth grade classrooms to solve word problems in mathematics. The intervention package was comprised of a graphic organizer, the K-N-W-S, video models of the researcher teaching the strategy to a student avatar from a virtual simulated classroom, TeachLivE, and daily word problems for students to practice the strategy. The researcher used a quasi-experimental group design with a treatment and a control group to determine the impact of the intervention. Students were assessed on their performance via a pretest and posttest. Analyses of data were conducted on individual test items to assess patterns in performance by mathematical word problem type.The effects of the intervention on SWD, students with ASD, and students without disabilities varied widely between groups as well as amongst individual students, indicating a need for further studies on the effects of mathematics strategy instruction on students with varying needs and abilities.
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Date Issued: 2015
Identifier: CFE0005782, ucf:50065
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0005782

Title: The Implications of a High Academic Ability Learning Environment on Third Grade Gifted Students' Academic Achievement in Florida Public Schools.
Creator: Cady, Julie, Murray, Barbara, Taylor, Rosemarye, Murray, Kenneth, Spadaccini, Becky, University of Central Florida
Abstract / Description: The purpose of this two year study was to investigate the implications of a high academic ability learning environment on the achievement scores of third grade gifted students who attended the Florida Brevard County Public School System. Learning environment was defined by the students' academic ability level, whether high academic ability or heterogeneous academic ability, and for this study was the independent variable. Academic achievement, as measured by the 2011 and the 2012 Florida...
Show moreThe purpose of this two year study was to investigate the implications of a high academic ability learning environment on the achievement scores of third grade gifted students who attended the Florida Brevard County Public School System. Learning environment was defined by the students' academic ability level, whether high academic ability or heterogeneous academic ability, and for this study was the independent variable. Academic achievement, as measured by the 2011 and the 2012 Florida Comprehensive Assessment Test(&)#174; 2.0 (FCAT 2.0) Mathematics and Reading Developmental Scale Scores (DSS), was the dependent variable. Other student data such as gender and socioeconomic status were also collected and used along with classroom structure to examine the extent to which third grade gifted students' reading and mathematics performance could be predicted. Random samples of students were drawn from the third grade gifted student population attending Florida Brevard County Public School System in the 2010-2011 and the 2011-2012 school years. Using an independent samples t-test, analysis of the 2011 FCAT 2.0 Reading and Mathematics found a statistically significant difference in both the students' FCAT 2.0 Mathematics and the students' FCAT 2.0 Reading achievement test scores based on the classroom structure. Specifically, there was enough evidence to support the claim that third grade gifted students who learned in a homogeneous high academic ability learning environment scored significantly higher on reading and mathematics standardize tests than did third grade gifted students who learned in a heterogeneous academic ability learning environment. Approximately 14% of the variance in reading and mathematics scores could be accounted for by classroom structure. However, different results were found with the 2012 FCAT 2.0 Mathematics and Reading scores. The results from the 2011-2012 school year indicated that there was not a significant difference in mean reading and mathematics scores between third grade gifted students who learn in a homogeneous high academic ability learning environment and third grade gifted students who learn in a heterogeneous academic ability learning environment. The recommendations include that subsequent studies incorporate a wider range of grade levels, perhaps even include methods of instructional delivery, types of gifted services provided, and teachers' years of experience. In addition, recommendations are that future studies address the academic performance of high academic ability non-gifted students who learn in homogeneous high academic ability classroom environments verses those who learn in heterogeneous academic ability classroom structures.
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Date Issued: 2013
Identifier: CFE0004661, ucf:49896
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0004661

Title: THE RELATIONSHIP OF 10TH-GRADE DISTRICT PROGRESS MONITORING ASSESSMENT SCORES TO FLORIDA COMPREHENSIVE ASSESSMENT TEST SCORES IN READING AND MATHEMATICS FOR 2008-2009.
Creator: Underwood, Marilyn, Taylor, Rosemarye, University of Central Florida
Abstract / Description: The focus of this research was to investigate the use of a district created formative benchmark assessment in reading to predict student achievement for 10th-grade students on the Florida Comprehensive Assessment Test (FCAT) in one county in north central Florida. The purpose of the study was to provide information to high school principals and teachers to better understand how students were performing and learning and to maximize use of the formative district benchmark assessment in order to...
Show moreThe focus of this research was to investigate the use of a district created formative benchmark assessment in reading to predict student achievement for 10th-grade students on the Florida Comprehensive Assessment Test (FCAT) in one county in north central Florida. The purpose of the study was to provide information to high school principals and teachers to better understand how students were performing and learning and to maximize use of the formative district benchmark assessment in order to modify instruction and positively impact student achievement. This study expanded a prior limited study which correlated district benchmark assessment scores to FCAT scores for students in grades three through five in five elementary schools in the targeted county. The high correlations suggested further study. This research focused on secondary reading, specifically in 10th grade where both state and targeted county FCAT scores were low in years preceding this research. Investigated were (a) the district formative assessment in reading as a predictor of FCAT Reading scores, (b) differences in strength of correlation and prediction among student subgroups and between high schools, and (c) any relationships between reading formative assessment scores and Mathematics FCAT scores. An additional focus of this study was to determine best leadership practices in schools where there were the highest correlations between the formative assessment and FCAT Reading scores. Research on best practices was reviewed, and principals were interviewed to determine trends and themes in practice. Tenth grade students in the seven Florida targeted district high schools were included in the study. The findings of the study supported the effective use of formative assessments both in instruction and as predictors of studentsÃƒÂƒÃ‚ÂƒÃƒÂ‚Ã‚ÂƒÃƒÂƒÃ‚Â‚ÃƒÂ‚Ã‚Â‚ÃƒÂƒÃ‚ÂƒÃƒÂ‚Ã‚Â‚ÃƒÂƒÃ‚Â‚ÃƒÂ‚Ã‚Â' performance on the FCAT. The results of the study also showed a significant correlation between performance on the reading formative assessment and performance on FCAT Mathematics. The data indicated no significant differences in the strength of correlation between student subgroups or between the high schools included in the study. Additionally, the practices of effective principals in using formative assessment data to inform instruction, gathered through personal interviews, were documented and described.
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Date Issued: 2010
Identifier: CFE0003214, ucf:48573
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0003214

Title: A Comparison of Sixth Grade Student Achievement in Reading and Mathematics at School Transition Year.
Creator: Roseboom, Julie, Taylor, Rosemarye, Doherty, Walter, Bai, Haiyan, Beattie, Karen, University of Central Florida
Abstract / Description: This study contributed information for consideration as school districts determine grade span configuration as part of school design. The problem addressed was the extent to which student achievement may be impacted by the transition from one school to another from fifth to sixth grade in Florida public schools in order to provide data to school policy makers and school district administrators and add to the body of knowledge on the grade level configuration that contributed the most to...
Show moreThis study contributed information for consideration as school districts determine grade span configuration as part of school design. The problem addressed was the extent to which student achievement may be impacted by the transition from one school to another from fifth to sixth grade in Florida public schools in order to provide data to school policy makers and school district administrators and add to the body of knowledge on the grade level configuration that contributed the most to student achievement in sixth grade. This was a causal-comparative study using quantitative data to analyze student scores at the school level for reading and mathematics on the 2014 Florida Comprehensive Achievement Test (FCAT) 2.0 assessment to explore the difference in achievement for sixth grade students with no school transition compared to those who had school transitions during middle school. A multivariate analysis of covariance (MANCOVA) was used to examine if a difference existed in the dependent variables of sixth-grade reading and mathematics achievement as measured by school mean developmental scale scores and the school percentage of students making learning gains on the FCAT 2.0 between schools with sixth grade as the transition year and without sixth grade as the transition year. The analyses were controlled for the covariates of the school percentages of socio-economic status as determined by free and reduced lunch rate, English Learner status, and exceptional student education status. Findings signified that schools with no school transition between fifth and sixth grade in Florida public schools had higher sixth-grade mean scores in reading and mathematics as measured by school mean developmental scale scores and in reading as measured by the percentage of school learning gains. This study offers insight into what grade configuration is more likely to positively impact student achievement during the middle grades and supports students remaining in an elementary setting with fewer transitions during the middle grades to most benefit reading and mathematics achievement. Findings are useful to school boards, superintendents, and school district administrators interested in educational policy development and research on transition especially when restructuring school grade configurations and building new school sites.
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Date Issued: 2015
Identifier: CFE0006545, ucf:51347
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0006545

Title: Theoretical Study of Laser Beam Quality and Pulse Shaping by Volume Bragg Gratings.
Creator: Kaim, Sergiy, Zeldovich, Boris, Flitsiyan, Elena, Leuenberger, Michael, Likamwa, Patrick, University of Central Florida
Abstract / Description: The theory of stretching and compressing of short light pulses by the chirped volume Bragg gratings (CBG) is reviewed based on spectral decomposition of short pulses and on the wavelength-dependent coupled wave equations. The analytic theory of diffraction efficiency of a CBG with constant chirp and approximate theory of time delay dispersion are presented. Based on those, we performed comparison of the approximate analytic results with the exact numeric coupled-wave modeling. We also study...
Show moreThe theory of stretching and compressing of short light pulses by the chirped volume Bragg gratings (CBG) is reviewed based on spectral decomposition of short pulses and on the wavelength-dependent coupled wave equations. The analytic theory of diffraction efficiency of a CBG with constant chirp and approximate theory of time delay dispersion are presented. Based on those, we performed comparison of the approximate analytic results with the exact numeric coupled-wave modeling. We also study theoretically various definitions of laser beam width in a given cross-section. Quality of the beam is characterized by the dimensionless beam propagation products (?x???_x)?? , which are different for each of the 21 definitions. We study six particular beams and introduce an axially-symmetric self-MFT (mathematical Fourier transform) function, which may be useful for the description of diffraction-quality beams. Furthermore, we discuss various saturation curves and their influence on the amplitudes of recorded gratings. Special attention is given to multiplexed volume Bragg gratings (VBG) aimed at recording of several gratings in the same volume. The best shape of a saturation curve for production of the strongest gratings is found to be the threshold-type curve. Both one-photon and two-photon absorption mechanism of recording are investigated. Finally, by means of the simulation software we investigate forced airflow cooling of a VBG heated by a laser beam. Two combinations of a setup are considered, and a number of temperature distributions and thermal deformations are obtained for different rates of airflows. Simulation results are compared to the experimental data, and show good mutual agreement.
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Date Issued: 2015
Identifier: CFE0005638, ucf:50210
Format: Document (PDF)
PURL: http://purl.flvc.org/ucf/fd/CFE0005638

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