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Articles 241 - 270 of 1338

Full-Text Articles in Science and Mathematics Education

Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version), Dave Ruch Apr 2020

Investigations Into D'Alembert's Definition Of Limit (Real Analysis Version), Dave Ruch

Analysis

No abstract provided.

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Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure Mar 2020

Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure

Numeracy

Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …

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The Impact Of Departmentalized And Traditional Instructional Settings On Economically Disadvantaged Fourth Grade Students' Mathematical Proficiency, Elizabeth Courtney Medlock Mar 2020

The Impact Of Departmentalized And Traditional Instructional Settings On Economically Disadvantaged Fourth Grade Students' Mathematical Proficiency, Elizabeth Courtney Medlock

Doctoral Dissertations and Projects

All students must have opportunities to achieve high levels of mathematics learning, thus, organizational settings in the field of education should be carefully examined to determine the extent to which the instructional environment affects student achievement, growth, and application of grade level standards for students identified as economically disadvantaged. The purpose of this quantitative, causal-comparative study was to investigate differences in mathematical proficiency of economically disadvantaged fourth-grade students in departmentalized versus traditional instructional settings as measured by the 2019 Maryland PARCC mathematics assessment. A cluster sample of low-income fourth-grade students from 80 public elementary schools in a large, suburban school …

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The Wright Stuff: An Integrative Approach To Stained Glass, Cassandra Wissink Armstrong Feb 2020

The Wright Stuff: An Integrative Approach To Stained Glass, Cassandra Wissink Armstrong

Professional Learning Day

In this session we'll explore the scientific and mathematical influences behind the artistic stained glass creations of Frank Lloyd Wright, and use them to create our own Wright-inspired stained glass designs. This is a truly integrative lesson that touches on properties of glass, linear functions, and artistic design.

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Black And Brown Students’ Mathematics Anxiety In Elementary School: The Use Of Restorative Justice Circles And Critical Concepts Of Care, Hope, And Love, Mariana E. Winnik Feb 2020

Black And Brown Students’ Mathematics Anxiety In Elementary School: The Use Of Restorative Justice Circles And Critical Concepts Of Care, Hope, And Love, Mariana E. Winnik

Dissertations, Theses, and Capstone Projects

Children navigate their world and are constantly making meaning of their experiences. Through this meaning making, children are also constructing their identities. Black and Brown children have an added layer of identity construction compared to their White peers. Black and Brown students develop their racial identity in conjunction with multiple other identities. This paper focuses specifically on how Black and Brown students construct a "mathematics identity" that is meaningful to their racial identity in order to help lessen their mathematics anxiety. I argue that the use of Restorative Justice Circles (RJC) in classrooms will allow for students to bring their …

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Students Studying Students And Reasoning About Reasoning: A Qualitative Analysis, Salvatore J. Petrilli, Grant Clark, Nicholas Demarco, Jack Esposito, Brianne Giuliano, Sara Greiss, Emily Harris, Alessia Merritts, Kyle Murray, Mateusz Piekut, Brian Seidl, Scott Shannon, Nicole Silva, Christina Sullivan, Brittany Willoughby, Yile Zhou Jan 2020

Students Studying Students And Reasoning About Reasoning: A Qualitative Analysis, Salvatore J. Petrilli, Grant Clark, Nicholas Demarco, Jack Esposito, Brianne Giuliano, Sara Greiss, Emily Harris, Alessia Merritts, Kyle Murray, Mateusz Piekut, Brian Seidl, Scott Shannon, Nicole Silva, Christina Sullivan, Brittany Willoughby, Yile Zhou

Journal of Humanistic Mathematics

In this work, a faculty member takes a journey along with students as they enhance their understanding of how people solve mathematical problems through a mainly qualitative statistical project. Student authors of this paper registered for a problem solving seminar led by the faculty author, and then created and analyzed self-built assessment tools to explore problem solving techniques. Here we share our findings and recommendations, which we hope will inspire others to explore novel pedagogical techniques in the teaching of mathematical problem solving. We incorporate into our presentation ur voices, reflecting on how we and others solve problems.

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College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams Jan 2020

College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams

Journal of Humanistic Mathematics

In this paper we report our findings of college students’ images of mathematicians and we reflect on different methodologies used to assess this information. The study reported in this paper was conducted in two stages. During the first stage, we asked 179 college students to “draw a mathematician” and also asked them to list five characteristics and five careers for a mathematician. In the second stage of the study, we conducted four focus group interviews with a total of twelve college students. During the focus group interviews, we showed the students 16 photos of real people and asked them to …

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Math Department 2019-2020 Newsletter, Mathematics Department Jan 2020

Math Department 2019-2020 Newsletter, Mathematics Department

Mathematics Newsletter

Welcome to our annual Mathematics Department Newsletter. This was an unusual year for our department as the coronavirus cut short our time on campus this year. Hence we were unable to have our usual events such as the Annual Mathematics Lecture, the Pi Mu Epsilon Induction and Awards Night, and there was no in-person commencement ceremony. But despite that, many great things happened in our department.

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The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao Jan 2020

The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao

Teacher India

Sheshagiri KM Rao describes the non-conventional teaching methods of his high school mathematics teacher Channa who helped students to discover the beauty in mathematics.

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Designing Mobile Apps To Promote Numeracy And Statistical Reasoning, Ma. Louise Antonette N. De Las Peñas, Mark L. Loyola, Jumela F. Sarmiento, Mark Anthony C. Tolentino, Debbie Marie Versoza Jan 2020

Designing Mobile Apps To Promote Numeracy And Statistical Reasoning, Ma. Louise Antonette N. De Las Peñas, Mark L. Loyola, Jumela F. Sarmiento, Mark Anthony C. Tolentino, Debbie Marie Versoza

Mathematics Faculty Publications

Developing countries typically do not perform well in international benchmarks of mathematics achievement. This may be partially explained by students’ immersion in classrooms characterized by superficial strategies or rote-learning methods. This paper reports on the design of mobile applications (apps) developed by the authors as part of an ongoing project funded by a national government agency and intended to promote structural thinking and statistical reasoning. It describes the general features of the apps, as well as the pedagogical principles upon which the apps’ designs were anchored on. These principles are grounded on research and established practices on number sense and …

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The Mobius Function And Mobius Inversion, Carl Lienert Jan 2020

The Mobius Function And Mobius Inversion, Carl Lienert

Number Theory

No abstract provided.

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Mathematics Cognitive And Content Abilities Across The Vincentian Student Population, Brendalee Rorena Cato Jan 2020

Mathematics Cognitive And Content Abilities Across The Vincentian Student Population, Brendalee Rorena Cato

Walden Dissertations and Doctoral Studies

Mathematics achievement is a key component of student overall academic achievement. However, many students from Saint Vincent and the Grenadines (Vincentian students) continue to perform poorly on the regional Caribbean Secondary Examination Certificate (CSEC) mathematics examination. This poor mathematics performance is a concern for education stakeholders. The purpose of this quantitative, nonexperimental study was to explore the extent to which the CSEC mathematics scores of high-scoring Vincentian students versus low-scoring Vincentian students in the cognitive domains of knowledge, comprehension, and reasoning differ across the content domains of algebra; geometry; measurement; statistics; and relations, functions, and graphs (RFG). The theoretical foundation …

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Use Of Calculators In High School Mathematics, Alex Mcdaniel Jan 2020

Use Of Calculators In High School Mathematics, Alex Mcdaniel

Williams Honors College, Honors Research Projects

For many collegiate level mathematics courses at universities across the country, students are not allowed to use calculators. This is often a huge adjustment for students who have spent their entire high school career using calculators. Whether it is graphing or simple arithmetic, students relied on calculators in high school, but for college, the tool of a calculator may not be available for them. This leads to a multitude of questions: Should calculators be used in high school? Do calculators help students learn or are they simply a tool to get answers? Are calculators beneficial in some courses, but not …

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The Effect Of Self-Reflection On Relative Student Success In Undergraduate Calculus 1, Kevin Shryock Jan 2020

The Effect Of Self-Reflection On Relative Student Success In Undergraduate Calculus 1, Kevin Shryock

Graduate Research Theses & Dissertations

This thesis examines the effect of completion and self-reflection credit on multiple aspects of undergraduate student success in Calculus 1. Specifically, this study assessed the validity of a plug-and-play classroom framework utilizing a combination of a holistic rubric and corresponding worksheets to direct students’ attention towards their conceptual understanding of material and written work, all while removing the pressure of performance grades on all but four summative assessments. By comparing students’ relative performance on these summative assessments, as well as students’ responses on regular surveys, this study found that students who chose to forego performance grades in favor of completion …

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Middle-School Mathematics Teachers' Use Of Formative Assessment Data, Shawana T. Green Jan 2020

Middle-School Mathematics Teachers' Use Of Formative Assessment Data, Shawana T. Green

Walden Dissertations and Doctoral Studies

A school district located in the southeastern United States uses benchmark tests as formative assessment to provide teachers with data to differentiate their instruction to meet the individual needs of students in their classrooms. Despite this effort, student achievement in mathematics in this school district has not improved. The purpose of this study was to gain an understanding of how middle-grade mathematics teachers used the benchmark results as formative data to guide instruction and meet student needs. The conceptual framework that grounded this study was the model of formative assessment developed by Black and Wiliam. For this basic qualitative study, …

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Professional Development For Mathematics Teacher Education Faculty: Need And Design, Billy Jackson, Shandy Hauk, Jenq Jong Tsay, Alma Ramirez Jan 2020

Professional Development For Mathematics Teacher Education Faculty: Need And Design, Billy Jackson, Shandy Hauk, Jenq Jong Tsay, Alma Ramirez

School of Mathematical & Statistical Sciences Faculty Publications

The purpose of this report is to share a conceptual model useful in the design of professional learning about teaching for university mathematics faculty. The model is illustrated by examples from a particular design effort: the development of an online shortcourse for faculty new to teaching mathematics courses for prospective primary school teachers. How novice mathematics teacher educators grow as instructors is an emerging area of research and development in the United States. At the same time, it is well established that effective instructional design of any course, including a course for faculty, requires breadth first: understanding and anticipating the …

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Digital Simulations For Grade 7 To 10 Mathematics, Ma. Louise Antonette N. De Las Peñas, Debbie Marie Verzosa, Maria Alva Q. Aberin, Len Patrick Dominic M. Garces, Flordeliza F. Francisco, Evangeline P. Bautista, Mark Anthony C. Tolentino, Winfer C. Tabares Dec 2019

Digital Simulations For Grade 7 To 10 Mathematics, Ma. Louise Antonette N. De Las Peñas, Debbie Marie Verzosa, Maria Alva Q. Aberin, Len Patrick Dominic M. Garces, Flordeliza F. Francisco, Evangeline P. Bautista, Mark Anthony C. Tolentino, Winfer C. Tabares

Mathematics Faculty Publications

This article describes a Department of Science and Technology – Philippine Council for Industry, Energy and Emerging Technology (DOST-PCIEERD) project aimed to facilitate the implementation of the mathematical objectives raised by the Department of Education’s (DepEd) K to 12 program in the Philippines through the use of innovative digital technologies. In particular, a selection of application software (“apps”) were created for Grade 7 to 10 mathematics that covered topics indicated in the five strands outlined in the K to 12 program – namely (1) number, (2) geometry, (3) measurement, (4) patterns and algebra, and (5) statistics and probability. The design …

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Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks Nov 2019

Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the essence of student perception of learning introductory mathematics courses in an online environment at the college level. The central research question was, “What are the lived experiences of students who have completed introductory college mathematics courses in the online learning environment?” The phenomenon described was that of the beliefs and attitudes of the students who participated in introductory mathematics courses on the college level. The ideas explored were if students believe they learn effectively in this environment and how they believe they can best learn. Student beliefs and attitudes …

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Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward Oct 2019

Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward

Purdue Journal of Service-Learning and International Engagement

Purdue provides many activities in service-learning each year, and though they are varied experiences, many of the same lessons can be learned. I had the opportunity to participate in two service-learning study abroad trips while at Purdue- the first to Spain and Morocco, and the second to Haiti. While on these trips, I was involved in projects that seemed very different. In Morocco, my group taught high school students about the history of mathematics during the Islamic Golden Age and how mathematics is utilized in Purdue research. In Haiti, I worked with my teammates to teach water sanitation and storage …

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A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski Oct 2019

A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

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Mathamigos: A Community Mathematics Initiative, James C. Taylor, Delara Sharma, Shannon Rogers Aug 2019

Mathamigos: A Community Mathematics Initiative, James C. Taylor, Delara Sharma, Shannon Rogers

Journal of Math Circles

We present a broad, and we think novel, community mathematics initiative in its early stages in Santa Fe, New Mexico. At every level, the program embraces community-wide collaboration—from the leadership team, to the elements of the mathematics being implemented (primarily math circles and the Global Math Project’s Exploding Dots), to the funding model. Our MathAmigos program falls within two categories of math circle-related programs: outreach and professional development (PD). In outreach, we work with the Santa Fe Public School district (administration, teachers, students, and parents) and the City of Santa Fe government (our funders via a two-year contract) in …

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Connecting Mathematics And Community: Challenges, Successes, And Different Perspectives, Ariel Azbel, Margarita Azbel, Isabella F. Delbakhsh, Tami E. Heletz, Zeynep Teymuroglu Aug 2019

Connecting Mathematics And Community: Challenges, Successes, And Different Perspectives, Ariel Azbel, Margarita Azbel, Isabella F. Delbakhsh, Tami E. Heletz, Zeynep Teymuroglu

Journal of Math Circles

In this article, we summarize our personal journey to establish a successful math circle in a community that is not very familiar with such mathematics enrichment programs. We share the story of how our math circle began three years ago, as well as the lessons we learned and our organizational challenges and successes. Additionally, we outline three primary perspectives: the founder perspective, the student volunteer perspective, and the faculty volunteer perspective.

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The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, Rodi Steinig Jul 2019

The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, Rodi Steinig

Journal of Math Circles

Many people want to facilitate Math Circles for younger students but don’t know how. This article provides a model for how to create an engaging Math Circle for students aged 8-10 to explore different number bases and gives a detailed narrative to guide prospective instructors through the class. The narrative follows a group of eight students spending six weeks joyfully discovering underlying mathematical structure without being told what to do.

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Exploding Dots At The Msu-Billings Math Circle, Tien Chih Jul 2019

Exploding Dots At The Msu-Billings Math Circle, Tien Chih

Journal of Math Circles

Global Math Week is an annual event started by Dr. James Tanton and the Global Math Project, connecting students around the world with the mathematics of Exploding Dots. Exploding Dots is a reconceptualization of the mechanics of arithmetic, which allows for a visually intuitive and accessible representation of a variety of mathematical topics ranging from different base representations to the arithmetic of polynomials and series. In this manuscript, we describe the first implementation of Exploding Dots at the MSU-Billings Math Circle. The actual itemized agenda of the session is described, followed by highlights of the session and observations by the …

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Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, Erick Mathew Jul 2019

Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, Erick Mathew

Journal of Math Circles

Commentary From the Field: ELIMU HAINA MWISHO “Education has no Limits”

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A Message From The Global Math Project Team, James Tanton Jul 2019

A Message From The Global Math Project Team, James Tanton

Journal of Math Circles

A Message From the Global Math Project Team

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Editorial Introduction To The Journal Of Math Circles, Emilie Hancock, Brandy Wiegers Jul 2019

Editorial Introduction To The Journal Of Math Circles, Emilie Hancock, Brandy Wiegers

Journal of Math Circles

Editorial Introduction to the Journal of Math Circles.

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Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge Jul 2019

Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge

Journal of Humanistic Mathematics

Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my six-year-old son move beyond zero in the negative direction when subtracting.

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Mathematics Students As Artists: Broadening The Mathematics Curriculum, Marshall Gordon Jul 2019

Mathematics Students As Artists: Broadening The Mathematics Curriculum, Marshall Gordon

Journal of Humanistic Mathematics

Mathematics has often been referred to as an art. For some it is “the purest of the arts”, where the mathematicians’ art is “asking simple and elegant questions about our imaginary creations, and crafting satisfying and beautiful explanations”. Yet with classroom time given primarily to “covering the curriculum”, testing, and practicing problem-solving procedures, students’ opportunities to appreciate the aesthetic dimension of mathematics are often limited. To promote a responsive environment in an effort to enable students to become artists of their own mathematics experience, I consider in this paper two facets of the mathematics classroom. Content-wise I make the argument …

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Telling Women's Stories: A Resource For College Mathematics Instructors, Sarah Mayes-Tang Jul 2019

Telling Women's Stories: A Resource For College Mathematics Instructors, Sarah Mayes-Tang

Journal of Humanistic Mathematics

Stereotypes about mathematicians that conflict with ``traditionally feminine" identities are widely held by people from middle-school-age onwards, and can influence their participation in mathematics and related fields. Simply being exposed to women in mathematics is not enough to change students' perceptions of mathematicians, and may even decrease girls' interest in mathematics. This paper proposes a storytelling strategy to help change students' perceptions of mathematicians. It includes several activities for intentionally incorporating women's stories into the post-secondary classroom and a list of resources for finding existing powerful stories. The diverse stories of women mathematicians, including details of their personal lives and …

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