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Full-Text Articles in Education

“Indefensible, Illogical, And Unsupported”; Countering Deficit Mythologies About The Potential Of Students With Learning Disabilities In Mathematics, Rachel Lambert May 2018

“Indefensible, Illogical, And Unsupported”; Countering Deficit Mythologies About The Potential Of Students With Learning Disabilities In Mathematics, Rachel Lambert

Education Faculty Articles and Research

This paper describes two myths that circulate widely about the potential of students with Learning Disabilities to learn mathematics: (1) that students with Learning Disabilities cannot benefit from inquiry-based instruction in mathematics, and only from explicit instruction; and (2) that students with Learning Disabilities cannot construct their own mathematical strategies and do not benefit from engaging with multiple strategies. In this paper, I will describe how these myths have developed, and identify research that counters these myths. I argue that these myths are the unintended consequences of deficit constructions of students with Learning Disabilities in educational research. Using neurodiversity to ...


How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj Apr 2018

How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj

Educational Foundations and Research Faculty Publications

The link between reading and mathematics achievement is well known, and an important question is whether readability factors in mathematics problems are differentially impacting student groups. Using 20 years of data from the National Assessment of Educational Progress and the Trends in International Mathematics and Science Study, we examine how readability factors – such as length, word difficulty, and pronouns – interact with student background characteristics – such as race/ethnicity, mathematics achievement, and socioeconomic status. Textual features that make problems more difficult to process appear to differentially negatively impact struggling students, while features that make language easier to process appear to differentially ...


Assessing Journal Quality In Mathematics Education, Samuel Otten, Ryan Andrew Nivens Jul 2017

Assessing Journal Quality In Mathematics Education, Samuel Otten, Ryan Andrew Nivens

ETSU Faculty Works

Excerpt: In this study, we triangulate the rankings in Table 1 with other measures of journal quality offered through database algorithms.


English Language Learners In The Mathematics Classroom, Julia Mccormick May 2017

English Language Learners In The Mathematics Classroom, Julia Mccormick

Senior Honors Projects

Mathematics is often considered a universal language. Most of us have heard this statement from a math teacher at some point throughout our academic careers. However, for students moving to the United States from another country with minimal fluency in English, this is clearly not the case. They may walk into math class, a subject area in which they may have excelled in their native country, and see the words “polynomial”, “coefficient”, and “differentiate” on the board. Regardless of their experiences in their native language, there are disconnects and cultural differences between languages and skills emphasized that prevents mathematics from ...


Assessing Journal Quality In Mathematics Education, Ryan Andrew Nivens, Samuel Otten Feb 2017

Assessing Journal Quality In Mathematics Education, Ryan Andrew Nivens, Samuel Otten

ETSU Faculty Works

No abstract provided.


Math Is More Than Numbers: Beginning Bilingual Teachers’ Mathematics Teaching Practices And Their Opportunities To Learn, Cathery Yeh Jan 2017

Math Is More Than Numbers: Beginning Bilingual Teachers’ Mathematics Teaching Practices And Their Opportunities To Learn, Cathery Yeh

Education Faculty Articles and Research

In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers’ mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods courses. Findings revealed that the teachers were oriented toward differing views of learning that shaped how they organized students’ learning of language and mathematics during classroom instruction. While both teachers used similar teaching strategies to support students’ development of mathematics specific literacies, there were variances in how the learners were positioned within the classroom ...


Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan Jan 2017

Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan

Education Faculty Articles and Research

Students with disabilities are often framed as “the problem” and have limited opportunities to engage in standards based mathematics leading to persistent underachievement. In this paper, we investigate a research divide between mathematics educational research for students with and without disabilities, a divide with significant differences in the theoretical orientations and research methodologies used to understand learners. Based on an analysis of 149 mathematics educational research articles published between 2013 and 2015, we found significant differences between articles focused on learners with and without disabilities. For those with disabilities, mathematical problem solving was understood primarily from behavioral and information processing ...


What’S Brewing? A Statistics Education Discovery Project, Marla A. Sole, Sharon L. Weinberg Jan 2017

What’S Brewing? A Statistics Education Discovery Project, Marla A. Sole, Sharon L. Weinberg

Publications and Research

We believe that students learn best, are actively engaged, and are genuinely interested when working on real-world problems. This can be done by giving students the opportunity to work collaboratively on projects that investigate authentic, familiar problems. This article shares one such project that was used in an introductory statistics course. We describe the steps taken to investigate why customers are charged more for iced coffee than hot coffee, which included collecting data and using descriptive and inferential statistical analysis. Interspersed throughout the article, we describe strategies that can help teachers implement the project and scaffold material to assist students ...


Increasing Engagement Of Students With Learning Disabilities In Mathematical Problem-Solving And Discussion, Rachel Lambert, Trisha Sugita Nov 2016

Increasing Engagement Of Students With Learning Disabilities In Mathematical Problem-Solving And Discussion, Rachel Lambert, Trisha Sugita

Education Faculty Articles and Research

Engagement in problem-solving and mathematical discussion is critical for learning mathematics. This research review describes a gap in the literature surrounding engagement of students with Learning Disabilities in standards-based mathematical classrooms. Taking a sociocultural view of engagement as participation in mathematical practices, this review found that students with LD were supported towards equal engagement in standards-based mathematics through multi-modal curriculum, consistent routines for problem-solving, and teachers trained in Mathematical Knowledge for Teaching. Using this small set of studies (7), we identify the need to deepen the engagement of students with LD in mathematical problem-solving and discussion. This review concludes with ...


Online Mathematics Homework Increases Student Achievement, Jeremy Roschelle, Mingyu Feng, Robert F. Murphy, Craig A. Mason Oct 2016

Online Mathematics Homework Increases Student Achievement, Jeremy Roschelle, Mingyu Feng, Robert F. Murphy, Craig A. Mason

STEM Faculty Scholarship

In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework tool with teacher training could increase learning. The online tool ASSISTments (a) provides timely feedback and hints to students as they do homework and (b) gives teachers timely, organized information about students’ work. To test this prediction, we analyzed data from 43 schools that participated in a random assignment experiment in Maine, a state that ...


Using A Computer Science-Based Board Game To Develop Preschoolers' Mathematics, Ryan Andrew Nivens, Rosemary Geiken Jul 2016

Using A Computer Science-Based Board Game To Develop Preschoolers' Mathematics, Ryan Andrew Nivens, Rosemary Geiken

ETSU Faculty Works

There is a critical need to teach computer science (CS) in order to assure that our nation remains competitive globally [6]. CS is a new basic skill necessary for economic opportunity [6] but is rarely taught before age 6 and only using electronic devices [1]. This presents a challenge for those concerned with “screen time” inherent in electronic devices [2] and for children in poverty with little access to electronic devices [3]. Coding, creating a series of commands that a computer carries out, is a component of CS and can be introduced as early as preschool age and results in ...


Journal Rankings And Representation In Mathematics Education, Samuel Otten, Ryan Andrew Nivens Jan 2016

Journal Rankings And Representation In Mathematics Education, Samuel Otten, Ryan Andrew Nivens

ETSU Faculty Works

Excerpt: Publish or perish has long been the mantra academics live by. For decades, this referred to a list of publications on a researcher’s Curriculum Vitae.


Changing The Culture: Developing Creative Problem Solvers, Eric L. Mann Apr 2015

Changing The Culture: Developing Creative Problem Solvers, Eric L. Mann

Faculty Presentations

Mathematics embraces creativity and beauty yet often our children are immersed in classroom activities where these attributes are hidden by an overemphasis on algorithms, computational speed and known answers that can be found in the back of the book or with a quick Google search. This learning environment creates a false perception of what it means to be “good at math.” From the research we know than many of our elementary school teachers have negative attitudes towards mathematics; an attitude students pick up and adopt which may foster the development of the reluctant, impatient problem solvers we find in our ...


Success After Failure: Academic Effects And Psychological Implications Of Early Universal Algebra Policies, Keith Howard, Martin Romero, Allison Scott, Derrick Saddler Jan 2015

Success After Failure: Academic Effects And Psychological Implications Of Early Universal Algebra Policies, Keith Howard, Martin Romero, Allison Scott, Derrick Saddler

Education Faculty Articles and Research

In this article, the authors use the High School Longitudinal Study 2009 (HSLS:09) national database to analyze the relationships between algebra failure, subsequent performance, motivation, and college readiness. Students who failed eighth-grade Algebra I did not differ significantly in mathematics proficiency from those who passed lower-level courses, but initially demonstrated significantly lower mathematics interest, mathematics utility, and mathematics identity. Both groups were less likely than the general population to meet college requirements in the eleventh grade, although students who passed a lower-level mathematics course fared better than those who failed Algebra I. Implications for policies addressing mathematics course enrollments ...


Supporting Student Justification In Middle School Mathematics Classrooms: Teachers' Work To Create A Context For Justificaiton, Megan Staples Apr 2014

Supporting Student Justification In Middle School Mathematics Classrooms: Teachers' Work To Create A Context For Justificaiton, Megan Staples

CRME Publications

Justification is an important disciplinary and learning practice. Despite a growing knowledge base regarding how teachers orchestrate mathematical discussions, few analyses have considered the orchestration of specific disciplinary practices such as justification. Using classroom video data from the JAGUAR project, we analyze two instantiations of extensive student justification in seventh-grade classrooms and document each teacher’s pedagogical approach that supported students’ engagement in this practice. We argue that, although there was overlap in their pedagogical repertoires, the teachers created a context for student justification in two unique ways. We document the similarities and differences in their approaches, including the nature ...


Mastery Learning In Calculus I Affects Student Learning, Grade Improvement, And Professor Exhaustion, Judith Puncochar, Don H. Faust Apr 2014

Mastery Learning In Calculus I Affects Student Learning, Grade Improvement, And Professor Exhaustion, Judith Puncochar, Don H. Faust

Conference Presentations

Three Calculus I courses were taught under conditions of either traditional teaching, 2/3 mastery, or full mastery to test four hypotheses. Under conditions of mastery learning on exams, students should attain appropriate higher-level mathematical concepts, achieve more learning of higher-level mathematical concepts, learn higher-level mathematical concepts more quickly, and evaluate mastery learning favorably. Support for all hypotheses occurred only in the 2/3 mastery condition. A shift toward higher grades was attributed to grade improvement, not grade inflation, as determined by six mathematicians with blind review of final exam items. Final exams in mastery learning courses were significantly more ...


Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall Mar 2014

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and ...


A Proposed Framework For Combining Smart Environment And Heuristic Diagnostic Teaching Principles In Order To Assess Students’ Abilities In Math And Supporting Them During Learning, Ardiana Sula, Evjola Spaho, Leonard Barolli, Rozeta Miho Jan 2014

A Proposed Framework For Combining Smart Environment And Heuristic Diagnostic Teaching Principles In Order To Assess Students’ Abilities In Math And Supporting Them During Learning, Ardiana Sula, Evjola Spaho, Leonard Barolli, Rozeta Miho

Jandrisevits Faculty Publications

In this paper, we propose the use of the smart environment based on Internet of Things (IoT), P2P technology and Heuristic Diagnostic Teaching principles for identifying learning abilities in mathematics and creative traits for students that are diagnosed within Autism Spectrum disorder (ASD). Many children with autism are highly interested and motivated by smart devices such as computers and touch screen tablets. These types of assistive technology devices get children with autism to interact, make choices, respond, gain new communication skills and create P2P communication between children, caregivers and therapists. Our proposed system uses JXTA-Overlay platform and SmartBox device to ...


Review Of Principles To Actions: Ensuring Mathematical Success For All, Eric L. Mann Jan 2014

Review Of Principles To Actions: Ensuring Mathematical Success For All, Eric L. Mann

Faculty Publications

No abstract provided.


Discover Math With Sketchpad Explorer, Helen Crompton Jan 2014

Discover Math With Sketchpad Explorer, Helen Crompton

Teaching & Learning Faculty Publications

Review of Geometer's SketchPad.


Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer Jan 2014

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

ETSU Faculty Works

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.


A Primer For Mathematical Modeling, Marla A. Sole Oct 2013

A Primer For Mathematical Modeling, Marla A. Sole

Publications and Research

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by ...


A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens Jun 2013

A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens

ETSU Faculty Works

Many job seekers in higher education are unaware of how large a discrepancy there can be in terms of financial potential for mathematics education jobs in higher education. Recent research on this topic has focused on the base salary (Reys, Reys, & Estapa, 2013), but other financial factors have been left unstudied. Through two cases, the researcher demonstrates a large gap that exists in net pay when major financial factors beyond base salary are considered, specifically insurance and retirement benefits. This article will spur conversations among faculty and graduate students in mathematics education doctoral programs allowing mentors to draw from their ...


Teaching Undergraduates How To Analyze, Ryan Andrew Nivens, Rosalind Raymond Gann May 2013

Teaching Undergraduates How To Analyze, Ryan Andrew Nivens, Rosalind Raymond Gann

ETSU Faculty Works

Analysis is typically the first of the higher functions listed in taxonomies of higher order thinking. Academics consider these upper categories extremely worthwhile, but they are hard to teach and we are apt to ignore them. Today higher education is being criticized for “dumbing down” curriculum or lowering standards. To rectify this, many policies at the state or national level are requiring higher education institutions to change. In K‐12 education, Race to the Top and Common Core requirements are placing new demands on K‐12 teacher preparation, which include evaluation of the analysis skills of pre‐service teachers. But ...


Development Of A Taxonomy For Key Terms In Mathematics Education And Its Use In A Digital Repository, Pedro Gómez, María C. Cañadas Dr. Jan 2013

Development Of A Taxonomy For Key Terms In Mathematics Education And Its Use In A Digital Repository, Pedro Gómez, María C. Cañadas Dr.

Library Philosophy and Practice (e-journal)

Although mathematics education is a young discipline, it has developed rapidly over the last 40 years. During this time, the community of mathematics education researchers, teachers’ trainers, and mathematics teachers has produced a large quantity of literature published in books, journals, and conference proceedings and on Internet, among other sources. Yet there is currently no taxonomy of key terms for the systematic classification of the documents in this discipline. In this article, we present the procedure by which we constructed a taxonomy for Funes, a digital repository of documents in mathematics education. We establish the conceptual framework on which the ...


Education Of Mathematically Talented Students In Hungary, Julianna Connelly Stockton Oct 2010

Education Of Mathematically Talented Students In Hungary, Julianna Connelly Stockton

Mathematics Faculty Publications

Hungary is famous for its production of large numbers of highly talented mathematicians and physicists. This study explores the Hungarian system for educating mathematically talented secondary school students with the goal of identifying successful features that may be applicable to education in the United States. Highlights of the Hungarian approach include an emphasis on problem solving, problem posing, detailed explanation or proof for solutions, and development of mathematical creativity through the search for multiple solution paths.


The Effect Of Teacher Pedagogical Content Knowledge And The Instruction Of Middle School Geometry, Sara Talley Lenhart Sep 2010

The Effect Of Teacher Pedagogical Content Knowledge And The Instruction Of Middle School Geometry, Sara Talley Lenhart

Doctoral Dissertations and Projects

This study investigated the relationship between middle school math teacher pedagogical content knowledge as gathered from a teacher assessment and student Standards of Learning scores. Nine middle-school math teachers at two rural schools were assessed for their pedagogical content knowledge in geometry and measurement in the specific area of decomposing and recomposing one-dimensional and two-dimensional figures. A Pearson's Product Moment Coefficient statistical test was used to compare teacher assessment scores of each pedagogical content knowledge level with student Standard of Learning math scores. The results showed that there is a relationship between teacher pedagogical content knowledge and student Standards ...


A Business Approach To Teaching Quadratic Functions, Alexander Vaninsky Apr 2010

A Business Approach To Teaching Quadratic Functions, Alexander Vaninsky

Touchstone

No abstract provided.


Student Perceptions Of Classroom Environments In Streamed Middle Secondary Mathematics Classes In Australian Christian Schools, Peter W. Kilgour, Tony Rickards Jan 2008

Student Perceptions Of Classroom Environments In Streamed Middle Secondary Mathematics Classes In Australian Christian Schools, Peter W. Kilgour, Tony Rickards

Education Conference Papers

This paper reports on a study into the perceptions students have of the learning environment in Year 9 and 10 mathematics classrooms when the classes are streamed. The sample consisted of 581 students in Years 9 and 10 in 7 different Christian independent schools across Australia. The What is Happening in the Classroom (WIHIC) inventory was used along with a qualitative analysis of interviews with a subset of participants. Results included: students in lower stream mathematics classes report significantly less positive perceptions of their classroom learning environments than students in upper stream mathematics classes, the areas rated most negatively by ...


Gaining Options: A Mathematics Program For Potentially Talented At-Risk Adolescent Girls, Pamela Trotman Reid, Sally K. Roberts Apr 2006

Gaining Options: A Mathematics Program For Potentially Talented At-Risk Adolescent Girls, Pamela Trotman Reid, Sally K. Roberts

Teacher Education Faculty Publications

In response to indicators that a decline in interest in mathematics occurs among girls—particularly those from low-income and minority groups—during middle school, the GO-GIRL (Gaining Options: Girls Investigate Real Life) program was designed to help potentially talented at-risk girls. The program aimed to build mathematical confidence, skills, and conceptual understanding by integrating mathematics and social science research in a single-sex, technology-rich environment supported by university student mentors. The program targeted seventh-grade urban girls from public and private schools. Participants met over the course of ten Saturdays to learn research methods, computer skills, mathematics, and descriptive statistics. Quantitative data ...