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2016

Mathematics

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Full-Text Articles in Education

Possibilities And Challenges Of Teaching Integrated Math And Social Studies For Social Justice: Two Teacher Educators' Collaborative Self-Study, Paula P. Guerra, Sohyun An Dec 2016

Possibilities And Challenges Of Teaching Integrated Math And Social Studies For Social Justice: Two Teacher Educators' Collaborative Self-Study, Paula P. Guerra, Sohyun An

Georgia Educational Researcher

In this paper, we—one mathematics teacher educator and one social studies teacher educator—describe a project where we collaborated to model teaching integrated mathematics and social studies for social justice in our methods courses. We encountered varied challenges in our efforts to prepare teacher candidates for social-justice-oriented lessons. These challenges included teacher candidates’ perception of authority/credibility of their professors who were foreign females from the “Third World”, teacher candidates’ deficit views on minoritized students, and the limited time and resources for teacher collaboration in teacher education. Despite these challenges, we believe this kind of project is necessary to ...


Associating Mathematics To Its History: Connecting The Mathematics We Teach To Its Past, Joseph M. Furner, Ernest A. Brewer Dec 2016

Associating Mathematics To Its History: Connecting The Mathematics We Teach To Its Past, Joseph M. Furner, Ernest A. Brewer

Transformations

Across the USA and around the world now, globalization has taken a strong hold. The purpose of this paper is to explore the historical considerations that can be incorporated in the teaching of mathematics. The paper will also provide suggestions for teaching math by interweaving historical elements into the mathematics instruction. Teachers should strive to bridge the cultural and historical gap among all students by incorporating innovative ideas as well as historical and cultural connections into their teaching so to foster understanding, appreciation, and tolerance for the richness inherent in diversity and a sound understanding of mathematics and appreciation for ...


Art-Integration Through Making Dioramas Of Women Mathematicians’ Lives Enhances Creativity And Motivation, Audrey C. Rule, Dana L. Atwood-Blaine, Clayton M. Edwards, Mindy M. Gordon Dec 2016

Art-Integration Through Making Dioramas Of Women Mathematicians’ Lives Enhances Creativity And Motivation, Audrey C. Rule, Dana L. Atwood-Blaine, Clayton M. Edwards, Mindy M. Gordon

Journal of STEM Arts, Crafts, and Constructions

Creativity is essential for solving problems in the workplace, natural environment, and everyday life, necessitating that creativity be nurtured in schools. Identification of factors that intrinsically motivate students to learn difficult or initially unappealing content is also important. This project, in which 24 racially diverse fifth grade girls created dioramas of the lives of diverse successful women mathematicians, explored the girls’ reactions to art integration into mathematics through a phenomenological qualitative analysis of their products, essays, and responses to questionnaires. The project supported the Next Generation Science Standard for engineering design, Standard 3-5-ETS1-1 and two National Core Arts Standards for ...


Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman Dec 2016

Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman

Peter Kilgour

No abstract provided.


Differentiating Instruction Through Math Stations And Literacy Centers, Olivia Bates Dec 2016

Differentiating Instruction Through Math Stations And Literacy Centers, Olivia Bates

Faculty Curated Undergraduate Works

Differentiating instruction based on students’ readiness, interests, and learning profiles is essential for creating effective and meaningful learning activities. Identifying these characteristics allows teachers to meet students’ needs and engage them in learning. By differentiating instruction, educators target specific students’ strengths and challenges in developing lessons to support their understanding of content. Two useful strategies for differentiating math and literacy instruction include stations and centers. In stations and centers, students work on specific skills catered to their educational needs while rotating activities in flexible groups. This guide supports teachers in identifying strategies and understanding the benefits of differentiating math and ...


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 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 ...


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 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 ...


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 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 ...


Analyse D’Un Projet Pilote D’Intégration D’Une Approche Par Les Situations Dans L’Éducation De Base De La République Démocratique Du Congo, Stéphane Cyr, Annie Savard, Emna Braham Dec 2016

Analyse D’Un Projet Pilote D’Intégration D’Une Approche Par Les Situations Dans L’Éducation De Base De La République Démocratique Du Congo, Stéphane Cyr, Annie Savard, Emna Braham

Comparative and International Education / Éducation Comparée et Internationale

En 2015, la République Démocratique du Congo (RDC) a entrepris une démarche transitoire de réforme scolaire en adoptant une Approche par les Situations (APS) dans ses programmes pour le primaire. Pour initier cette démarche, le pays a mis en place un projet pilote visant l’amélioration de l’enseignement et des apprentissages des mathématiques et des langues. Dans ce dispositif, des situations ont été crées et des enseignants ont été formés à l’utilisation de ces situations en classe. Le présent article présente les résultats issus des différents outils de collecte de données visant à rendre compte de cette démarche ...


Project-Based Learning And Design-Focused Projects To Motivate Secondary Mathematics Students, Kelly W. Remijan Dec 2016

Project-Based Learning And Design-Focused Projects To Motivate Secondary Mathematics Students, Kelly W. Remijan

Interdisciplinary Journal of Problem-Based Learning

This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing design-focused projects, describe various projects that have been developed and implemented within my classroom, and share project artifacts illustrated by pictures, student work, and student comments. Referring to the MUSIC Model of Academic Motivation and reflecting upon personal observations, student outcomes, and student comments, I provide personal insight on how design-focused projects can be ...


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 characteristic and student work is examined qualitatively; in addition to how well each task characteristic uncovers three key conceptual understanding fraction ideas: partitioning, iterating, and unitizing. Additionally, this study looks at which task characteristics better highlight informal or intuitive understanding of these key ideas and in what ways. The findings can be used to inform the selection of fraction tasks for the classroom.


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 ...


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 ...


20-Year Slide In Maths And Science Learning, Geoff N. Masters Ao Nov 2016

20-Year Slide In Maths And Science Learning, Geoff N. Masters Ao

Teacher columnist – Geoff Masters

With the release of results from the four-yearly Trends in International Mathematics and Science Study (TIMSS), Geoff Masters discusses what it will take to lift levels of mathematics and science learning in Australian schools.


Stem Education Discrepancy In The United States And Singapore, Elizabeth K. Worsham, Aaron Clevenger, Kelly A. Whealan-George Nov 2016

Stem Education Discrepancy In The United States And Singapore, Elizabeth K. Worsham, Aaron Clevenger, Kelly A. Whealan-George

Beyond: Undergraduate Research Journal

One of the hottest topics over the past several years has been science, technology, engineering and mathematics (STEM) education. The United States is lagging behind in the STEM education rankings as compared to its counterparts in Europe and Asia, including Singapore, ranked second overall in math and science based on the Program of International Student Assessment. Even as such a small country, Singapore has one of the best education systems in the world, one of the busiest ports, and is a leader in the science and technology market. One factor of this is the family life and the culture that ...


An Examination Of Accessible Hands-On Science Learning Experiences, Self-Confidence In One’S Capacity To Function In The Sciences, And Motivation And Interest In Scientific Studies And Careers., Mick D. Isaacson, Cary Supalo, Michelle Michaels, Alan Roth Nov 2016

An Examination Of Accessible Hands-On Science Learning Experiences, Self-Confidence In One’S Capacity To Function In The Sciences, And Motivation And Interest In Scientific Studies And Careers., Mick D. Isaacson, Cary Supalo, Michelle Michaels, Alan Roth

Journal of Science Education for Students with Disabilities

This study examined the potential relationship of accessible hands-on science learning experiences to the development of positive beliefs concerning one’s capacity to function in the sciences and motivation to consider science as a college major and career. Findings from Likert survey items given before and after engaging in accessible hands-on science laboratories show that students who were blind or had low vision (BLV) were more likely to agree with the following items after engaging in accessible science experiences: 1) I plan on enrolling as a science major in college; 2) My educational experiences, so far, have given me the ...


‘When I Am Being Rushed It Slows Down My Brain’: Constructing Self-Understandings As A Mathematics Learner, Rachel Lambert Nov 2016

‘When I Am Being Rushed It Slows Down My Brain’: Constructing Self-Understandings As A Mathematics Learner, Rachel Lambert

Education Faculty Articles and Research

Understanding learning disabilities (LDs) as constructed through multiple cultural practices including discourse, this paper focuses on a Latino middle school student with a LD named Elijah. This study documents both the discourses and practices used to position Elijah as a mathematics learner, as well as his use of similar discourses as he constructs a complex set of self-understandings as a mathematics learner. Elijah is positioned by discourses that prioritise speed as an indicator of mathematical ability, as well as discourses that construct students with LD as having both intelligence and differences such as processing speed. An analysis of interview and ...


Using A Repeated Measures Anova Design To Analyze The Effect Writing In Mathematics Has On The Mathematics Achievement Of Third Grade English Language Learners And English Speakers, Zoe A. Morales Nov 2016

Using A Repeated Measures Anova Design To Analyze The Effect Writing In Mathematics Has On The Mathematics Achievement Of Third Grade English Language Learners And English Speakers, Zoe A. Morales

FIU Electronic Theses and Dissertations

The gap that exists between English language learners and English speaking students’ achievement in mathematics continues to grow. Moreover, students are now required to show evidence of their mathematics knowledge through writing in standardized assessments and class assignments.

The purpose of this study was to analyze students’ writing in mathematics and the metacognitive behaviors they portrayed through their writing as they solved mathematics problems. The instruments included a pretest, two biweekly tests, and a posttest. The writing instruction encompassed students learning to solve problems by using Polya’s four phases of problem solving which was completed in 12 sessions over ...


The Effects Of Professional Development On Elementary Students’ Mathematics Achievement, Jonathan L. Brendefur, Keith W. Thiede, Sam Strother, Dan Jesse, John Sutton Nov 2016

The Effects Of Professional Development On Elementary Students’ Mathematics Achievement, Jonathan L. Brendefur, Keith W. Thiede, Sam Strother, Dan Jesse, John Sutton

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

This paper describes the effects of a professional development (PD) program – Developing Mathematical Thinking – on student achievement. Six Title I elementary schools with similar demographics, within one school district, were chosen to participate as either a treatment or comparison school. Three schools were chosen to participate in professional development that incorporates effective PD recommendations. All the teachers had to participate in all aspects of the PD, thereby eliminating potential self-selection bias. Using the state standardized achievement test as the before and after measure, results suggest improved student performance after professional development was implemented over a two year period.


Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman Nov 2016

Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman

TEACH Journal of Christian Education

This paper reports on an initial investigation into teachers’ perceptions of the process of introducing the integrated teaching of science, technology, engineering and mathematics (STEM) using a cooperative and problem solving approach. The study was conducted at two independent schools in New South Wales and will be ongoing. The initial results indicate that while there has been a positive attitude to the introduction of STEM into the two schools, there is perceived to be a need for additional professional development that will lead to greater teacher confidence, improved attitudes, wider knowledge of the importance of STEM, and more extensive teamwork ...


Mathematics-Literacy Checklists: A Pedagogical Innovation To Support Teachers As They Implement The Common Core, Pixita M. Del Prado Hill 8785617, Ellen S. Friedland, Susan E. Mcmillen Oct 2016

Mathematics-Literacy Checklists: A Pedagogical Innovation To Support Teachers As They Implement The Common Core, Pixita M. Del Prado Hill 8785617, Ellen S. Friedland, Susan E. Mcmillen

Journal of Inquiry and Action in Education

This article presents two innovative tools – the Mathematics-Literacy Planning Framework and Mathematics-Literacy Implementation Checklist – which are designed to help instructional coaches and specialists support teachers to meet the challenges of the mathematics-literacy integration goals of the Common Core. Developed with teacher input, these instruments serve as cognitive “safety nets” to ensure effective integration of appropriate strategies before, during, and after instruction.


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 ...


Examining The Development Of Culturally Relevant Pedagogy For Preservice Secondary Mathematics Teachers, Natasha Ramsay-Jordan Oct 2016

Examining The Development Of Culturally Relevant Pedagogy For Preservice Secondary Mathematics Teachers, Natasha Ramsay-Jordan

Georgia Educational Research Association Conference

Culturally responsive mathematics pedagogy (CRMP) should be valued and presented as the norm for teachers so that students from diverse backgrounds can access essential mathematical knowledge (Aguirre & del Rosario, 2013; Bonner & Adams, 2012; Leonard & Moore, 2014). Prospective teachers of diverse students need to have opportunities in their professional study to develop the shared knowledge, perceptions and attitudes required for effective implementation of culturally responsive mathematics pedagogy (Gay, 2002). The purpose of this study is to begin investigative and exploratory work through the coupling of qualitative research methodology and critical race theory to examine preservice secondary mathematics teachers’ (PSMTs)experiences using CRMP in classrooms to teach ...


Differentiated Instruction In Mathematics, Vania I. Diaz Sep 2016

Differentiated Instruction In Mathematics, Vania I. Diaz

South Florida Education Research Conference

No abstract provided.


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. With ...


Lefschetz Contact Manifolds And Odd Dimensional Symplectic Geometry, Yi Lin Sep 2016

Lefschetz Contact Manifolds And Odd Dimensional Symplectic Geometry, Yi Lin

Mathematical Sciences Faculty Publications

In the literature, there are two different versions of Hard Lefschetz theorems for a compact Sasakian manifold. The first version, due to Kacimi-Alaoui, asserts that the basic cohomology groups of a compact Sasakian manifold satisfies the transverse Lefschetz property. The second version, established far more recently by Cappelletti-Montano, De Nicola, and Yudin, holds for the De Rham cohomology groups of a compact Sasakian manifold. In the current paper, using the formalism of odd dimensional symplectic geometry, we prove a Hard Lefschetz theorem for compact K-contact manifolds, which implies immediately that the two existing versions of Hard Lefschetz theorems are mathematically ...


Making Something Out Of Mathematics: Using Advanced Technology To Interest Secondary School Girls In Mathematics, Patricia Mclaughlin, Belinda Kennedy Sep 2016

Making Something Out Of Mathematics: Using Advanced Technology To Interest Secondary School Girls In Mathematics, Patricia Mclaughlin, Belinda Kennedy

Journal of Educational Leadership in Action

Australia is in the bottom third of all OECD nations in the proportion of girls studying mathematics and technology at undergraduate level. The representation of girls entering technology-related study at tertiary level over the past decade has averaged 11%. There is an urgent need for cultural change in attitudes and processes for encouraging girls into these disciplines. One of the key issues in female students undertaking tertiary study in technology disciplines is the importance of maintaining mathematics as a subject beyond the compulsory secondary school years. Within Australia, the study of mathematics at senior school levels has been in decline ...


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 Math Avoidance Influences Degree Completion For Bible College Students: A Case Study Of A Small, Private Institution In Upstate New York, Bonnie Novak Sep 2016

How Math Avoidance Influences Degree Completion For Bible College Students: A Case Study Of A Small, Private Institution In Upstate New York, Bonnie Novak

Doctoral Dissertations and Projects

The purpose of this instrumental case study was to describe math perception and avoidance for ministerial undergraduate students at a small, private Bible college in upstate New York. In the research, math avoidance was generally defined as the participants’ perception of math, their delay in completing a credit-bearing math course until their senior year or not at all, and their own learning or degree completion as a result. The theories guiding this study were Tinto’s Retention Theory/Model of Institutional Departure, Bandura’s Social Cognitive Theory, and Estep’s Theory of Christian Formation. The central question was: How does ...


On The Expression Of Higher Mathematics In American Sign Language, John Tabak Aug 2016

On The Expression Of Higher Mathematics In American Sign Language, John Tabak

Journal of Interpretation

Abstract

The grammar and vocabulary of higher mathematics are different from the grammar and vocabulary of conversational English and conversational American Sign Language (ASL). Consequently, mathematical language presents interpreters with a unique set of challenges. This article characterizes those aspects of mathematical grammar that are peculiar to the subject. (A discussion of mathematical vocabulary and its expression in ASL can be found elsewhere (Tabak, 2014).) An increased awareness of the grammar of mathematical language will prove useful to those interpreters for the deaf and deaf mathematics professionals seeking to express higher mathematics in ASL.

In this article one will, for ...