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2016

Mathematics

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Full-Text Articles in Education

Measuring What Students Know: Ensuring Math Word Problems On School Written Assessments Accurately Display English Language Learners’ Understanding Of Math Skills, Lori Magstadt Dec 2016

Measuring What Students Know: Ensuring Math Word Problems On School Written Assessments Accurately Display English Language Learners’ Understanding Of Math Skills, Lori Magstadt

School of Education and Leadership Student Capstone Theses and Dissertations

This study seeks to determine how often math word problems used by teachers to assess student learning contain unnecessary linguistic challenges for English Language Learners. It examines a question bank of math word problems used by a group of schools to develop internal assessments based on the six principals of Universal Design (UD), a set of linguistic modifications adopted on the Minnesota Comprehensive Assessment. Key influences included peers, EL teachers seeking to support their students in math, formal and current students, and authors such as Bambrick-Sontoyo, Abedi, Sato, etc. The research method was text analysis using both qualitative and quantitative …


Effectiveness Of Cognitively Guided Instruction Practices In Below Grade-Level Elementary Students, Katherine S. Munday Dec 2016

Effectiveness Of Cognitively Guided Instruction Practices In Below Grade-Level Elementary Students, Katherine S. Munday

School of Education and Leadership Student Capstone Theses and Dissertations

This study asked the question, What is the effect of Cognitively Guided Instruction (CGI) practices on the math beliefs and abilities of below grade-level second grade students? A mixed methods approach was used to measure the impact of a four-week CGI-based intervention on below grade-level second graders’ math proficiency, as well as their math affect, self-concept, and anxiety. Data was also collected on participants’ strategy sophistication, conceptual understanding, and ability to explain their thinking. Findings suggest that CGI practices led to improvement in specific math abilities in below grade-level students, including fluency and automaticity, Base 10 understanding, strategy sophistication, and …


Jiji Can Talk! An Oral Language Strategy Guide For Blended Learning Math Classrooms Using St Math, William Menz Dec 2016

Jiji Can Talk! An Oral Language Strategy Guide For Blended Learning Math Classrooms Using St Math, William Menz

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was, how can an oral language strategy guide be created to support ELs language development in the elementary math classroom that uses ST Math. The capstone outlines strategies that can be paired with online content from ST Math to help ELs and native speakers develop oral language around the math puzzles presented in the standards based curriculum. By simultaneously addressing conceptual understanding of math content and English language development, the strategy guide works to meet the Common Core State Standards for Mathematics and the Principles of Math Instruction for ELs using ST Math, …


Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch Dec 2016

Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch

Boise State University Theses and Dissertations

Research supports the claim that classrooms with teachers who respond to student thinking in the mathematics classroom will see greater student gains and student success (Lamon, 1996; Sleep & Boerst, 2012). The topic of fractions is both difficult to teach and learn, but has important implications on future success in mathematics and in life. This study set out to explore the ways in which student work is influenced by characteristics of number line fraction tasks. By examining task type, number line structure, and number choice this study shares the way these task characteristics influenced student strategies. The relationship between task …


Teaching Academic Vocabulary In Mathematics To English Language Learners, Emily M. Sasse Dec 2016

Teaching Academic Vocabulary In Mathematics To English Language Learners, Emily M. Sasse

Masters of Arts in Education Action Research Papers

The purpose of this research was to explore the effects of explicit academic vocabulary instruction in mathematics on English language learners’ understanding of mathematics concepts. The study took place in a third-grade classroom, where 50% of the students were English language learners. Data collection methods included pre- and post assessments, student self-assessment ratings, teacher reflections, and student discussion questions. Results of the study indicated positive increases in assessment scores for students at all levels of English language proficiency. Going forward, the teacher researcher will continue to use vocabulary journals, discussions, activities, and games in her classroom to provide multiple opportunities …


An International Comparison Study Of The Alignment Between Standards And Assessment Of Pre-Service Elementary Mathematics Teacher Preparation Courses, Vilma Guadalupe Duke Escobar Dec 2016

An International Comparison Study Of The Alignment Between Standards And Assessment Of Pre-Service Elementary Mathematics Teacher Preparation Courses, Vilma Guadalupe Duke Escobar

Boise State University Theses and Dissertations

This study addresses the extent to which components of pre-service elementary teachers’ mathematics programs are aligned. Specifically, it includes an analysis of national standards and assessments for elementary mathematics education courses at universities in two countries, the United States and El Salvador. Understanding that the quality of school education is closely linked to pre-service teacher education, the purpose of the study is to contribute much-needed information to assess and improve pre-service elementary mathematics curriculum in both countries. Using Webb’s framework for standards-assessment alignment, data include the Mathematical Education of Teachers II (MET II) standards from the United States and Study …


The Influence Of Instructional Time On Student Achievement In Grades 3, 4, And 5 In Language Arts And Mathematics On The 2011 New Jersey Assessment Of Skills And Knowledge (Njask), Michelle A. Telischak Oct 2016

The Influence Of Instructional Time On Student Achievement In Grades 3, 4, And 5 In Language Arts And Mathematics On The 2011 New Jersey Assessment Of Skills And Knowledge (Njask), Michelle A. Telischak

Seton Hall University Dissertations and Theses (ETDs)

The purpose of this cross-sectional, non-experimental, explanatory quantitative research study was to determine the strength and direction of the relationship between instructional time and student achievement in Grades 3, 4, and 5 on the 2011 New Jersey Assessment of Skills and Knowledge in Language Arts Literacy (LAL) and Mathematics. The unit of analysis was school. The sample included all public elementary schools in the state of New Jersey with students who participated in the NJASK 3-5 LAL and Mathematics assessments for the 2010-2011 school year.

The independent or predictor variable of interest was instructional time, which is defined as the …


An Examination Of How One University Is Preparing Elementary And Middle Level Education Majors For Common Core Mathematics, Michelle Elizabeth Schwartze Sep 2016

An Examination Of How One University Is Preparing Elementary And Middle Level Education Majors For Common Core Mathematics, Michelle Elizabeth Schwartze

Theses and Dissertations

In 2010 the Common Core State Standards (CCSS) for mathematics and English Language Arts were introduced into K – 12 classrooms (Common Core State Standards Initiative, 2015b). The standards for mathematics focus on having students demonstrate and explain understanding more than the standards have in the past (Burns, 2013). McCallum (2011) divides the eight Standards for Mathematical Practice into four main themes: reasoning and explaining, modeling and using tools, seeing structure and generalizing, and overarching habits of mind of a productive mathematical thinker. These four themes encompass what a mathematics classroom should look like when utilizing the CCSS for mathematics. …


Indicators Of Future Mathematics Proficiency: Literature Review & Synthesis, Claudia Preciado Sep 2016

Indicators Of Future Mathematics Proficiency: Literature Review & Synthesis, Claudia Preciado

Electronic Theses, Projects, and Dissertations

The beauty of mathematics can arguably be found in the way in which all concepts are interrelated and interwoven to create a massive web of knowledge and in the ways this can be applied to all aspects of life and technology. Given this inextricable interrelationship amongst several mathematical topics, many students encounter issues in learning mathematics due to gaps in their understanding of previously taught material. As a result, mathematics education in the K-12 setting has emphasized the need for interventions in order to help students grasp the progressively complex concepts that are required by our current society and education …


How Does A Targeted Services Intervention Program Focused On Base-Ten Place Value Development Impacts Growth Of Second Graders In Mathematics, Katherine J. Shelley Aug 2016

How Does A Targeted Services Intervention Program Focused On Base-Ten Place Value Development Impacts Growth Of Second Graders In Mathematics, Katherine J. Shelley

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was: How does a Targeted Services intervention program focused on base-ten place value development impact the growth of second graders in meeting district achievement expectations in mathematics? This research was inspired by the importance of helping underachieving students reach grade level expectations in the area of place value and applying this understanding in solving addition and subtraction problems. The research took place during twenty after-school class sessions. Data was collected through assessments, student journal questions, and teacher observations. The data was used to plan instruction throughout the course and to monitor growth and …


Teaching Problem Solving In Mathematics: Cognitively Guided Instruction In Kindergarten, Christy Faith Wilson Eckenrode Aug 2016

Teaching Problem Solving In Mathematics: Cognitively Guided Instruction In Kindergarten, Christy Faith Wilson Eckenrode

School of Education and Leadership Student Capstone Theses and Dissertations

The study explores the effects of mathematical conversations, using Cognitively Guided Instruction practices (CGI), on the problem solving ability and academic language usage of kindergarten students. Four treatment groups of students were followed over a ten week period. Students were grouped by the number of minutes that they participated in mathematical conversations per week. Students in the group that had the most minutes per week of mathematical conversations grew by the greatest amount in both problem solving and academic language capacity. Students in the control group regressed in both problem solving and academic language. Students in the group the met …


Assessing The Impact Of Picture Books In Primary Grades Mathematics Instruction, Jessica Stone Aug 2016

Assessing The Impact Of Picture Books In Primary Grades Mathematics Instruction, Jessica Stone

Doctoral Dissertations

This study documents an educational field experiment evaluating the effects of picture books on primary students’ mathematical achievement and their dispositions towards mathematics. The study involved 136 primary grade students from one elementary school in the southeastern region of the United States. The student population had an overrepresentation of students from minority backgrounds (91%), low socioeconomic status (93%) and English Language Learners (47%). During the 18-week treatment period, teacher participants from the treatment group received bi-weekly collaborative professional development regarding the use of picture books in mathematics instruction. The teachers in the control group followed their district’s mathematics curriculum.

To …


Math Emporium Model: Preparing Developmental Students For College Algebra, Stephanie Patton Williams Aug 2016

Math Emporium Model: Preparing Developmental Students For College Algebra, Stephanie Patton Williams

Dissertations

This study examined the effectiveness of the Emporium Model in reducing math anxiety and in preparing developmental math students at a community college to be successful in College Algebra. The study involved 59 students enrolled in Intermediate Algebra at a community college and compared those in the Emporium class format to those in the Traditional class format. Participants completed a pre-post math anxiety rating scale questionnaire and a pre-post algebra readiness test to address the research questions of the study. Two mixed model ANOVAs were done and the findings showed that there was a significant difference in math anxiety level …


Mathematics Learning Support Models And Student Success At A Tennessee Community College, Bobby Allen Dixon Jr. Aug 2016

Mathematics Learning Support Models And Student Success At A Tennessee Community College, Bobby Allen Dixon Jr.

Electronic Theses and Dissertations

Every year thousands of students make preparations to pursue a college degree. Many are high school seniors, but a large percentage of the population are nontraditional age students who are years removed from a formal classroom setting. Included in the list of preparations is an examination whose results will be used to determine each individual’s readiness to be academically successful at the collegiate level. These examinations assess student’s abilities in the areas of reading, English composition, and mathematics. The results of these examinations show that at the community college level more than half of these students will need remediation in …


First Graders’ Use Of The Bar Model To Communicate Their Understanding Of The Equal Sign, Amber L. Van Vooren Aug 2016

First Graders’ Use Of The Bar Model To Communicate Their Understanding Of The Equal Sign, Amber L. Van Vooren

Boise State University Theses and Dissertations

Students’ misunderstandings of the equal sign have been well documented in children as young as kindergarten. Misconceptions of the symbol (=) hinder students’ relational thinking and impede access to algebraic contexts. Symbolic equations (e.g., 4+2=__+3) have been widely used to test students’ understanding and communication of equivalence. The purpose of this study was to explore how first grade students communicate their understanding of equivalence when instruction involved using a bar model versus symbolic equations. It used a two-case study approach to compare an atypical instruction design (the bar model) to a traditional design (symbolic equations). Distinct patterns in communication and …


Using Manipulatives To Investigate Esol Students' Achievement And Dispositions In Algebra, Donna L. Marsh Jul 2016

Using Manipulatives To Investigate Esol Students' Achievement And Dispositions In Algebra, Donna L. Marsh

Doctor of Education in Teacher Leadership Dissertations

The purpose of this embedded quasi-experimental mixed methods research was to investigate the effectiveness of concrete and virtual manipulatives on the achievement of English Speakers of Other Languages (ESOL) as they employ them to explore linear and exponential functions in high school Sheltered Common Core Coordinate Algebra. Also of interest were the effects concrete and virtual manipulatives have on their disposition towards mathematics and math class. Another goal was to investigate the benefits and disadvantages of using concrete and virtual manipulatives versus traditional instructional practices.

This was a 5-week study. The control group (N=20) was instructed through the use of …


The Impact Of Response To Intervention In A High School Mathematics Setting, Lauren Dominick Jul 2016

The Impact Of Response To Intervention In A High School Mathematics Setting, Lauren Dominick

EDL Sixth Year Theses

The purpose of this thesis is to examine the impact of response to intervention (RTI) in a high school mathematics setting. A major concern in the literature related to the fact that majority of RTI research focused on students at the elementary level and in reading. Therefore in this study RTI was implemented in a high school mathematics classroom and the effects were analyzed. This study is focused on a sample of ninth and tenth grade students from two classes and taught by one teacher in the same high school in an action research setting. Quantitative and qualitative methods of …


The Influence Of An Extended School Day On Middle School English Language Arts And Mathematics Achievement In A New Jersey Suburban School District, Davida Lindsay-Harewood Jun 2016

The Influence Of An Extended School Day On Middle School English Language Arts And Mathematics Achievement In A New Jersey Suburban School District, Davida Lindsay-Harewood

Seton Hall University Dissertations and Theses (ETDs)

This study examined the influence of an extended school day, reported in instruction minutes, on academic achievement of general and special education middle school students in one public suburban New Jersey school district using English Language Arts and Mathematics data from the 2014 New Jersey Assessment of Skills and Knowledge (NJ ASK). The sample was selected using Propensity Score Matching, a statistical technique employed to reduce the influence of selection bias. The final sample consisted of 238 students in Grade 6, 238 in Grade 7, and 238 in Grade 8 in the New Jersey suburban, upper middle-income school district during …


Utilizing Assessment Resources To Support Classroom Instruction In Mathematics, Jennifer A. Judkins Jun 2016

Utilizing Assessment Resources To Support Classroom Instruction In Mathematics, Jennifer A. Judkins

Ed.D. Dissertations in Practice

Mathematics teachers in the state of Washington have the responsibility of helping students develop the knowledge and skills included in the Mathematics K-12 Learning Standards (also known as the Common Core State Standards for Mathematics) and measured by the Smarter Balanced summative assessments in mathematics. A great need existed for teachers to have additional support to help students learn the standards and be prepared to demonstrate their knowledge on the Smarter Balanced assessments as well as more working knowledge of how to utilize the supports provided within the system of Smarter Balanced. Mathematics educators in the state of Washington were …


The Effects Of Cognitive Strategies Paired With Hands-On Or Virtual Manipulatives On Math Instruction For Students With Mathematical Learning Disabilities To Learn Word Problem Solving Skills, Kimberly Plute Jun 2016

The Effects Of Cognitive Strategies Paired With Hands-On Or Virtual Manipulatives On Math Instruction For Students With Mathematical Learning Disabilities To Learn Word Problem Solving Skills, Kimberly Plute

Theses and Dissertations

The purpose of this study was to evaluate the effects of using cognitive strategies with hands-on manipulatives, and cognitive strategies with virtual manipulatives to enhance problem solving skills of students with Mathematical Learning Disabilities (MLD), as well as their satisfaction with those strategies. Five, 5th graders with MLD participated in the study to learn word problem solving skills in a math class for 80 minutes, 5 days a week for 10 weeks. A single subject research design with ABC phases was used in the study. Results showed each student gained from 3.6 to 5.2 mean points of the weekly quizzes …


An Examination Of Black Male Success In High School Mathematics, David Walters Jr. Jun 2016

An Examination Of Black Male Success In High School Mathematics, David Walters Jr.

Dissertations, Theses, and Capstone Projects

For a national sample of Black male students, what is the relative impact of instructional technology on 10th and 12th grade math scores? This dissertation employs two waves of the Education Longitudinal Study (2002 & 2004) and multivariate statistical techniques to explore the relative importance of instructional technology (implementation by teachers and training for teachers), student perception of math ability, teacher and school effects, as well as socioeconomic status on high school math scores for this unique population.

Bourdieu’s cultural and social capital, Coleman’s cultural capital and social action, Martin’s equity-based math education, and Gutierrez’s socio-political mathematics will serve as …


The Effects Of Using The Gomath Program On Teaching Computation Skills For Students With Learning Disabilities, Patricia Virginia Giordano May 2016

The Effects Of Using The Gomath Program On Teaching Computation Skills For Students With Learning Disabilities, Patricia Virginia Giordano

Theses and Dissertations

The purpose of this study was to evaluate the effects on teaching math computation skills to students with learning disabilities (LD) using the GoMath program and to examine the teachers’ and students’ satisfaction with this program in their teaching and learning. Four, 3rd and 4th graders with LD were taught by one special education teacher in a resource room and participated in learning computation skills for 60 minutes, 5 days per week for 12 weeks, using the Go Math program. A multiple baseline research design with A B phases across students was used to evaluate their performance. The findings indicated …


Strategies For Teaching Developmental Mathematics Students At The College Level, Natalie Lynn Kautz May 2016

Strategies For Teaching Developmental Mathematics Students At The College Level, Natalie Lynn Kautz

Theses and Dissertations

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating views of teaching effectiveness from multiple viewpoints.

In this research project, college-level instructors of developmental mathematics students were recorded on video before, during, and after the teaching of an algebraic concept. Students were given a pre-lesson survey and post-lesson survey to see if there were gains in their learning. Students completed a survey about …


Mindset And Instructional Practices In The Elementary Mathematics Classroom, Charity Hall May 2016

Mindset And Instructional Practices In The Elementary Mathematics Classroom, Charity Hall

School of Education and Leadership Student Capstone Theses and Dissertations

How is teacher mindset reflected in instructional practices within the elementary mathematics classroom? Drawing from Dr. Carol Dweck’s and Dr. Jo Boaler’s mindset research and N. Webb’s and E. Fennema’s studies of teacher instructional practices, this research focuses on how teacher mindset is tied to interactions with elementary math students. This research also draws from Dr. Jo Boaler’s extensive work with mindset research. Teachers send strong messages to students every day about their students’ ability to achieve and grow. Growth mindset messages tell students they are capable, while fixed mindset messages may hinder a student’s growth. In the interest of …


Twelve Best Practices For Mathematics Vocabulary Instruction For K-5 Elementary Students, Shannon Elisa King May 2016

Twelve Best Practices For Mathematics Vocabulary Instruction For K-5 Elementary Students, Shannon Elisa King

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was, what are the current best practices for mathematics vocabulary instruction for K-5 elementary students? The motivation for this capstone was the struggle with K-5 students to understand the complex language of mathematics vocabulary. This capstone details the challenges students face in learning mathematics vocabulary, twelve best practices for mathematics vocabulary instruction for K-5 elementary students, and the level of awareness teachers have of these twelve best practices and the level of use of these strategies within their classrooms. Key influence for this capstone was the accreditation process for mathematics at the writer’s …


The Academic And Psychological Effects Of Teaching Students With Learning Disabilities To Solve Problems Using Cognitive And Metacognitive Strategies, Holly Andersen May 2016

The Academic And Psychological Effects Of Teaching Students With Learning Disabilities To Solve Problems Using Cognitive And Metacognitive Strategies, Holly Andersen

School of Education and Leadership Student Capstone Theses and Dissertations

The research conduced in this study addressed the question: what are the academic and psychological effects of teaching students with learning disabilities to solve word problems using cognitive and metacognitive strategies? During the study, metacognitive and cognitive strategies are employed by a teacher in her middle school math class composed of students with various disabilities. It included using a prescribed method to approach each word problem presented, followed by reflection questions that tracked students’ growth in self-confidence. The researcher documents the exact methods used and utilizes related research literature as a basis for this study. She reflects on the both …


Formative Assessment Of Academic Writing With English Learners In An Algebra Class, Robert J. Anderson May 2016

Formative Assessment Of Academic Writing With English Learners In An Algebra Class, Robert J. Anderson

School of Education and Leadership Student Capstone Theses and Dissertations

A case study of five English learners examined students’ writing in a co-taught high school math class. The goal of the study was to investigate how two different types of writing activities impacted students’ understanding of mathematical concepts. A writing rubric was used to measure student writing, and the researcher complied in-class tests. The scores on the writing samples were compared to students’ test results to look for trends in the data. Results of the case study were limited in their ability to identify a direct connection with the writing strategies and students’ test results, but the case study revealed …


Undergraduate Motivations For Choosing A Science, Technology, Engineering, Or Mathematics (Stem) Major, Preston Taylor Mitchell May 2016

Undergraduate Motivations For Choosing A Science, Technology, Engineering, Or Mathematics (Stem) Major, Preston Taylor Mitchell

Chancellor’s Honors Program Projects

No abstract provided.


Guiding Sixth Grade Language Development In Mathematical Content Acquisition Through Student Centered Siop Instruction, Leah Callister May 2016

Guiding Sixth Grade Language Development In Mathematical Content Acquisition Through Student Centered Siop Instruction, Leah Callister

Dissertations, Masters Theses, Capstones, and Culminating Projects

Mathematics is considered a universal language for students. However, now common core standards require students to explain their conceptual understanding through words, numbers, and verbal explanations. Student proficiency in the universal language is impeded when they do not speak the primary language. It is difficult for the teacher to teach both the academic language and mathematical concepts, when the vocabulary is not accessible to all students. Conversely it is difficult for students to follow the pacing of the class while having to translate and gain a conceptual understanding of the subject. The purpose of this study is to increase student …


Eighth Grade Mathematics Intervention: Improving Student Self-Esteem And Content Knowledge Of Targeted Mathematic Skills, Stephanie Hart May 2016

Eighth Grade Mathematics Intervention: Improving Student Self-Esteem And Content Knowledge Of Targeted Mathematic Skills, Stephanie Hart

Dissertations, Masters Theses, Capstones, and Culminating Projects

By eighth grade some students believe they are “not good” and never will be successful at mathematics. Discouraged by poor grades, negative feedback from teachers or demoralized by repeated academic failure, these students disengage from their mathematics classwork. In some cases, mathematics intervention classes are a last chance to get them back on track to qualify for Algebra I in 9th grade. The purpose of this study is to identify strategies to reengage students by increasing their academic content knowledge in mathematics and boosting their self-esteem and sense of belonging in the school setting. The review of the literature …