Education Commons^™

Quality Of Math Instruction Matters: Examining Validity And Reliability Of High Impact Strategies In Early Mathematics (His-Em), Bilge Cerezci

Dissertations

The purpose of this study is to introduce a measure of early mathematics teaching practices, the High Impact Strategies in Early Mathematics (HIS-EM) and its framework, and to examine its criterion-related, predictive validity of High Impact Strategies in Early Mathematics (HIS-EM) and describe the types of early math teaching the HIS-EM detects among a sample of Pre-kindergarten to 3rd grade teachers working with high need students in an urban public schools system. The findings indicate that the HIS-EM produced reliable scores, and meaningful and predictable associations were found between HIS-EM and CLASS. The results also suggested that high quality mathematics …

A Comparison Of Latent Class Analysis And The Mixture Rasch Model: A Cross-Cultural Comparison Of 8th Grade Mathematics Achievement In The Fourth International Mathematics And Science Study (Timss-2011), Turker Toker

Electronic Theses and Dissertations

This study provides a comparison of the results of latent class analysis (LCA) and mixture Rasch model (MRM) analysis using data from the Trends in International Mathematics and Science Study - 2011 (TIMSS-2011) with a focus on the 8th-grade mathematics section. The research study focuses on the comparison of LCA with Mplus version 7.31 and MRM with WinMira 2011 to determine if results obtained differ when the assumed psychometric model differs. Also, a log-linear analysis was conducted to understand the interactions between latent classes identified by LCA and MRM. The data set used in the study was from four diverse …

Using Relevance To Inspire Engagement In Disengaged Secondary Mathematics Students, Cherie Lynn Burkett

MSU Graduate Theses

With the advances being made in technology, our nation is in dire need of a work force degreed with mathematics and science. In the past few decades, the United States has seen a decline in the proportion of college graduates who majored in mathematics-intensive subjects. If our demand is high, why is our supply decreasing? Research suggests that traditional teaching methods using skills-based curricula make it difficult for students to take an interest in a confusing topic like mathematics in which they see no immediate relevance. I have spent a semester engaged in action research taking steps to increase student …

Academic And Peer Status In The Mathematical Life Stories Of Students, Carol Ann Wise

Theses and Dissertations

Mathematics students often define themselves by their grades, test scores, how they compare to other people, how comfortable they feel in mathematics class, and so on. These experiences are all part of a student's mathematical life story. Students assume positions with particular rights and duties for themselves and for the actors in the stories they tell. Those positions reflect certain types and levels of status. Those types and levels of status have been shown to either inhibit or open a student's access to learning mathematics. Thus, a student's status in mathematics education is an issue of equity. Mathematics educators and …

Student Evaluation Of Mathematical Explanations In Aninquiry-Based Mathematics Classroom, Ashley Burgess Hulet

Theses and Dissertations

Students do not always evaluate explanations based on the mathematics despite their teacher's effort to be the guide-on-the-side and delegate evaluation to the students. This case study examined how the use of three features of the Discourse—authority, sociomathematical norms, and classroom mathematical practices—impacted students' evaluation and contributed to students' failure to evaluate. By studying three pre-service elementary school students' evaluation methods, it was found that the students applied different types of each of the features of the Discourse and employed them at different times. The way that the features of the Discourse were used contributed to some of the difficulties …

Supporting An Understanding Of Mathematics Teacher Educators:Identifying Shared Beliefs And Ways Of Enacting Their Craft, Joseph S. Rino

Theses and Dissertations

For many preservice elementary and secondary teachers, the first time they encounter the notion that mathematics can be taught in ways other than what they experienced is in their teacher preparation program. Therefore, the potential impact of the mathematics teacher educator on the understanding and development of preservice teachers is immense, especially as that impact is considered in connection to the various reform efforts related to mathematics education that have spread across the country for the past three decades. Given the scarcity of systematic research focused on mathematics teacher educators, the author sought to understand defining characteristics of that role. …

Secondary Mathematics Teachers’ Attitudes And Beliefs Toward Statistics: Developing An Initial Profile, Christina M. Zumbrun

Dissertations

Over the last several decades, mathematics education researchers have given increased attention to students’ and teachers’ attitudes and beliefs toward mathematics and statistics, but no work has been done that examines practicing secondary mathematics teachers’ (SMTs’) attitudes and beliefs towards statistics in light of the GAISE framework and the Common Core State Standards for Mathematics (CCSSM). This study begins to address this gap in the research by creating the Teacher Attitude and Beliefs toward Statistics Survey (TABSS), a synthesis of items taken from the Survey of Attitudes Toward Statistics (Schau, 2003), the Statistics Course Attitude Scale and newly developed items …

Recommendations For Teachers And Researchers: Supporting Female Learners Of Secondary Mathematics: A Review Of Literature, Lauren Ashley Watts

Masters Theses

This literature review is intended to collect recommendations for practices in secondary education that promote gender equity in math and science. A brief overview of the history of gender and gender equity in mathematics, science and related fields will be provided, along with an examination of current aspects of gender equity in science and math that remain to be addressed. Recommendations for practices of secondary mathematics teachers that promote gender equity will be given with reference to practice theory and situated learning.

Integrating Math And Literature In The Elementary Classroom, Megan Maureen Boebinger

Undergraduate Honors Thesis Collection

Growing up, I was the student who hated to go to math class. I was not bad at math, I just could not seem to find a way to make it interesting or exciting. I had trouble understanding the purpose of math and how it was applicable to my own life. Word problems were my worst enemy; I appreciated the attempt to make math seem relatable, but never saw the use. Many of these problems involved building or buying something; topics I had no experience with in elementary school. I did not see why I needed to know the exact …

Improving Number Sense Using Number Talks, Kelsie Ruter

Master of Education Program Theses

This action research study examines the effects of using number talks instruction in the second grade classroom on number sense/critical thinking in mathematics. The sample included 47 students from two second grade classes in two suburban public elementary schools serving mostly upper middle class neighborhoods. For four weeks in the middle of the second trimester, an experimental group was exposed to the teaching of math through number talks, in addition to their regular math instruction. A control group was instructed using their regular methods and curriculum. Both groups were given a pretest and posttest of “rich math tasks.” Comparison data …

Precalculus Students' Achievement When Learning Functions: Influences Of Opportunity To Learn And Technology From A University Of Chicago School Mathematics Project Study, Laura A. Hauser

USF Tampa Graduate Theses and Dissertations

The concept of function is one of the essential topics in the teaching and learning of secondary mathematics because of the central and unifying role it plays within secondary and college level mathematics. Organizations, such as the National Council of Teachers of Mathematics, suggest students should be able to make connections across multiple representations of mathematical functions by the time they complete high school. Despite the prominent role functions play in secondary mathematics curriculum, students continue to struggle with the complex notion of functions and especially have difficulty using the different representations that are inherent to functions (algebraic, graphical and …

Parents And The Common Core State Standards For Mathematics, Rebecca Anne Roberts

Theses and Dissertations

As the majority of the nation has adopted Common Core State Standards for Mathematics (CCSSM), studying parents' resistance to these standards becomes vital in improving parental involvement and support of school mathematics reforms. Using Schoenfeld's (2011) model for decision making as a framework, an online survey and six interviews were conducted. The results of the survey showed that parents' resources related to student experiences and the mathematical methods students are performing are affecting their resistance toward CCSSM. The survey results also showed that parents' orientations related to the difficulty of the standards and politics affects their resistance toward CCSSM. The …

Prediction Of Time-To-Graduation For Stem Hispanic Undergraduate Students, Gejun Zhu

Theses and Dissertations - UTB/UTPA

In this thesis, we study the time-to-graduation problem for STEM Hispanic undergraduate students. The response, time-to-graduation, was treated in two different ways: as a binary variable with graduated (by the 6th year) and not-graduated values, and as an ordinal variable with values year-4, year-5, year-6, and not-graduate. Mathematics education plays critical role in students’ timely graduation, especially for STEM students. We used students records data obtained from The University of Texas-Pan American to illustrate how mathematics background factors (including SAT math score, ACT math score, TASP math score) and mathematics performance variables (including mathematics GPA, number of dropped mathematics courses, …

Online Student Discussions In A Blended Learning Classroom: Reconciling Conflicts Between A Flipped Instruction Model And Reform-Based Mathematics, Lewis L. Young

Theses and Dissertations

Two ideas are prevalent in teacher professional development today. Teachers are finding new and innovative ways to incorporate technology into their classroom. The use of video and social media is increasing. One type of pedagogy that has emerged among the blended learning pedagogies is flipped instruction, where students participate in some of the instruction outside of the classroom. Another prevalent idea is the focus on inquiry learning and reform-based mathematics instruction. This pedagogy adheres to the idea that students can use their problem solving skills to understand complex mathematics. This qualitative content analysis outlines how one researcher sought to find …

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

The Chinese New Mathematics Curriculum Reform At Two Elementary Schools: Two Cases Compared, Wei Gao

Dissertations - ALL

Based on a four-month fieldwork in two local schools, Pioneer School and Merits School, in China, the study explores how local schools and parents responded to the Chinese New Mathematics Curriculum Reform. The study found that the schools responded to the reform out of school people's practical concerns as well the established school cultures. Meanwhile, schools' implementation decisions were mediated by the interpretation powers of local educational authorities. Merits School arrived at the two-faces strategy to implement the reform. Pioneer School managed to maintain a balance between promoting reform pedagogies and employing examination-oriented approaches. Both schools marginally involved parents in …

Social Justice In Mathematics Education, Renee Lenise Colquitt

Doctoral Dissertations

Today’s mathematics classrooms are filled with students with different races, ethnicities, abilities, and socioeconomic status environments, and other issues that impact their learning. Students of color, in particular, often score lower than their White counterparts on standardized mathematics tests and are underrepresented in advanced placement mathematics classes. The historically marginalized students will soon be the majority. If careful attention is not paid to this shift in demographics, the United States runs the risk of falling farther behind other countries economically and academically. Since mathematics often serves as a gatekeeper for admittance to postsecondary institutions and many well-paying jobs, the discrepancy …

Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed

Open Access Theses & Dissertations

This study was designed to investigate the extent to which high school students use calculators to perform basic operations, and how well they actually perform those same operations without using calculators. The investigation involved the testing of math classes of students--male and female, mixed ethnicities--in grades nine through twelve. Students were asked to perform all four basic math operations (add, subtract, multiply, divide) involving integers based on single-digit addition and multiplication fact families with and without calculators. The testing was in two environments--timed and untimed, with students recording their completion times--in order to investigate discrepancies in students' calculator use in …

Rehearsal And Enactment For Teaching In Urban School Settings: A Qualitative Study Investigating The Connections Between A Math Methods Course And Fieldwork, Rajeev Virmani

Doctoral Dissertations

In this dissertation, I studied teacher education reform efforts aimed at improving the preparation of preservice teachers through the use of rehearsals in a math methods class. As many experts in the field of teacher education call for curricula in which preservice teachers learn from and in practice, I investigated a type of pedagogy called rehearsals within a practice-based teacher education setting that may afford preservice teachers with the initial preparation needed to become effective teachers.

In this qualitative study, I examined how three preservice teachers and math methods instructors rehearse the high leverage practice of leading a whole-class discussion. …

Raising Teacher Sensitivity To Key Numeracy Competencies In The Early Years, Kelly Norris

Theses: Doctorates and Masters

Mathematical competence is a key capability for success in adult life, and yet many students do not achieve functional levels of numeracy during their school lives. Furthermore, many teachers report that they lack the confidence in teaching mathematics that they have for teaching literacy. Research indicates that it is possible to predict which students are likely to have difficulties in mathematics as early as the Pre-Primary year, and interventions can be provided which are effective in minimising such difficulties. The assumption framing this project is that raising teachers’ understanding of and thus sensitivity to markers of the skills most predictive …

Insights Into The Beliefs And Practices Of Preservice Elementary Mathematics Teacher Educators: A Naturalistic Inquiry, Linda Ann Arnold

Doctoral Dissertations

The purpose of this naturalistic inquiry was to explore and analyze aspects of the reported beliefs and practices of a group of preservice elementary mathematics teacher educators. Until now, researchers have had little understanding of beliefs and practices of teachers in elementary mathematics methods classrooms, despite the fact that teacher educators’ beliefs and practices have profound effects on what happens in thousands of classrooms every day. The qualitative research in this study offered insights with the potential to inform higher educational practice in regard to the preparation of elementary mathematics teachers and mathematics teacher educators. Participants were six professors and …

Investigating The Impact Of Interactive Applets On Students’ Understanding Of Parameter Changes To Parent Functions: An Explanatory Mixed Methods Study, Robin R. Mcclaran

Theses and Dissertations--Science, Technology, Engineering, and Mathematics (STEM) Education

The technology principle in the Principles and Standards for School Mathematics (NCTM, 2000) states that technology plays an important role in how teachers teach mathematics and in how students learn mathematics. The purpose of this sequential explanatory mixed-methods study was to examine the impact of interactive applets on students’ understanding of parameter changes to parent functions. Students in the treatment classes were found to have statistically significantly higher posttest scores than students in the control classes. Although the data analysis showed a statistically significant difference between classes on procedural understanding, no statistically significant difference was found with regard to conceptual …

The Use Of Applets For Developing Understanding In Mathematics: A Case Study Using Maplets For Calculus With Continuity Concepts., Raymond Ellis Patenaude

Theses and Dissertations

The Common Core State Standards for Mathematics (CCSSM) are founded on a long history of mathematics education research emphasizing the importance of teaching mathematics for understanding. The CCSSM along with the National Council of Teachers of Mathematics (NCTM) recommend the use of technology in the teaching of mathematics. New mobile technologies in society facilitate use in mathematics classrooms, and these technologies rely on software applications called applets. Certain applets have been developed for use in teaching mathematics.

This study investigated the questions: Is it possible to determine the characteristics of applets that lead students toward greater understanding of mathematical concepts? …

The Teaching And Learning Of Word Problems In Beginning Algebra : A Nigerian (Lagos State) Study, Omolola A. Ladele

Theses: Doctorates and Masters

At both the junior and senior secondary school levels in Nigeria, student performance in mathematics examinations has been poor. Within the context of large classes, with inadequate facilities, and teaching and learning in a second language, algebra and algebra word problems are introduced to students during their first year of junior secondary school. The transition from primary school arithmetic to the use of the algebraic letter is challenging to students and it is important that teachers should know the likely difficulties and misconceptions students may have as they begin algebra (Welder, 2012).

In this study, the impact of a teacher …

Teaching And Learning Algebra 1 Via An Intelligent Tutor System: Effects On Student Engagement And Achievement, Karen Kerner Lucas

Doctoral Dissertations

This study investigated the implementation and outcomes of blended learning that integrated Apangea Math, an online intelligent tutor system (ITS), with face-to-face instruction for the teaching and learning of Algebra 1. It took place in a Title I urban high school where 75 ninth grade students and their teachers enacted the blended learning program for one semester. Students from the same high school who received face-to-face instruction alone during a previous semester served as a comparison group. Flow theory was proposed as an explanation for why the ITS program was expected to increase student engagement and improve student achievement.

This …

Conceptual Understanding Of Fractions And Decimals For Fourth Grade Students, Sarah J. Appleton

Boise State University Theses and Dissertations

A study was conducted in two 4th grade classrooms based on current research of foundational concepts of fraction and decimal knowledge, socio-cultural learning theory, cognition and international mathematics education. The goal of this study was for students to acquire conceptual and procedural knowledge of fraction and decimal concepts. When students have multiple experiences delving into rigorous tasks with fractions and decimals, researchers (Lamon, 2006; Siegler & Alibali 2005) suggest students will show an increase in understanding. Cognition and developmental stages were examined and incorporated within the suggested tasks of the instructional unit. With assistance from current research, this study demonstrated …

On The Nature Of Students' Digital Mathematical Performances, Ricardo Scucuglia Rodrigues Da Silva

Electronic Thesis and Dissertation Repository

In this study I investigate the nature of digital mathematical performances (DMPs) produced by elementary school students (Grades 4-6). A DMP is a multimodal text/narrative (e.g., a video) in which one uses the performance arts to communicate mathematical ideas. I analyze twenty-two DMPs available at the Math + Science Performance Festival in 2008. Assuming a sociocultural/postmodern perspective with emphasis on multimodality, my focus is on the role of the arts and technology in shaping students’ mathematical communication and thinking. Methodologically, I employ qualitative case studies, along with video analysis. I conduct a descriptive analysis of each DMP using Boorstin’s (1990) …

The Effects Of Single-Gender Math Classroom Activities On The Achievement And Behavior Outcomes Of Fifth-Grade Girls And Boys At A Public Elementary School, Erik P. Chaussee

Student Work

The purpose of this study was to examine single-gender schools and/or classes as a method of improving student achievement and gaining greater satisfaction in school. The paper will further examine the effects of single-gender classes on student achievement, the academic gender gap, and the attitudes of students and teachers. It will also look at the legal implications of such a practice. In addition, it will examine a variety of school district's past methods and structures in order to implement a single-gender school or single-gender classes within a coed school including other programs within schools.

A Conceptual Framework For Student Understanding Of Logarithms, Heather Rebecca Ambler Williams

Theses and Dissertations

In the past, frameworks for what it means for students to understand elementary mathematical concepts like addition have been well-researched. These frameworks are useful for identifying what students must understand to have a good grasp of the concept. Few such research-based frameworks exist for secondary mathematical topics. The intent of this study was to create such a framework for what it means for students to understand logarithms, a topic that has been under-researched up to this point. Four task-based interviews were conducted with each of four different preservice secondary mathematics teachers in order to test a preliminary framework I had …

Mathematically Gifted Students' Experiences Of Challenge With Cognitively Guided Instruction, Kim Krusen Mccomas

Graduate Theses and Dissertations

This study examined to what extent and in what ways mathematically gifted students were challenged in two elementary classrooms taught by exemplary teachers using the principles of Cognitively Guided Instruction (CGI). The two case studies included a third grade class and a fourth/fifth split grade class, with five mathematically advanced participants from each grade. A top tier and a second tier of mathematically advanced students were identified, with the top tier of five students identified as mathematically gifted. Classroom observations of CGI math lessons, interviews with students and teachers, and analysis of students' problem-solving strategies were conducted over a five …