Science and Mathematics Education Commons^™

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Collaboration And Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, And Agency, Frances K. Harper

Occasional Paper Series

When faced with the challenge of supporting students to do the “messy” mathematical work necessary for exploring social justice problems through critical mathematical inquiry, teachers might rely on more procedural or direct instruction. Because how students learn matters as much as what they learn, this can inadvertently limit students’ engagement with mathematics. Instructional strategies designed to foster equitable collaboration can support critical mathematical inquiry by promoting norms for equitable student engagement and mathematics identity development. As teachers and students negotiate what counts as mathematics engagement and who has access to mathematics, students’ authority over mathematics and social justice issues increases.

We Would If We Could: Examining Culturally Responsive Teaching Self-Efficacy In A Middle School Mathematics Methods Course, Jamaal R. Young, Jemimah L. Young, Brandon L. Fox, Earl R. Levingston Jr., Alana Tholen

Faculty Publications

Despite mounting evidence of the pedagogical importance of culturally responsive teaching, many teachers do not implement culturally responsive practices in their classrooms. The purpose of this study was to investigate pre-service mathematics teachers’ culturally responsive teaching and outcome expectancy in order to inform teacher preparation in mathematics methods courses. Participants completed the Culturally Responsive Teaching Self-efficacy Scale (CRTSE) and the Culturally Response Teaching Outcome Expectancy (CRTOE) Scale. Results suggest that middle school mathematics teachers were only moderately efficacious in their ability to implement culturally responsive teaching practices, despite strong beliefs in the instructional utility of culturally responsive teaching practices.

Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner

Numeracy

Tonya Grau Bartell, editor. 2018.Toward Equity and Social Justice in Mathematics Education. (Cham, Switzerland: Springer International Publishing). 341 pp. ISBN 978-3-319-92906-4 (also available as an e-book).

Toward Equity and Social Justice in Mathematics Education is a welcome addition to ongoing conversations about what mathematics should be taught and how it should be taught at both the college and pre-college level. Although the primary audience for the volume will be math educators and researchers, readers of this journal will discover intersecting interests, concerns, and strategies.

Exploring Authenticity Through An Engineering-Based Context In A Project-Based Learning Mathematics Activity, Bradley Bowen, Bryanne Peterson

Journal of Pre-College Engineering Education Research (J-PEER)

As education works to reconnect student learning to something more than standardized testing, project-based learning (PBL) has become a popular way to increase student engagement while providing more authentic applications of student knowledge. While research regarding PBL is bountiful, little has been done to connect this body of research with student perceptions regarding its classroom application, especially concerning authenticity and student engagement. This research focuses on the topic of ‘‘task authenticity’’ as a means to improve student outcomes. Two groups of seventh-grade students were presented the concept of slope and y-intercept in the context of engineering-based activities. The research …

Tinkering With Logo In An Elementary Mathematics Methods Course, Keri Duncan Valentine

Interdisciplinary Journal of Problem-Based Learning

With an increased push to integrate coding and computational literacy in K–12 learning environments, teacher educators will need to consider ways they might support preservice teachers (PSTs). This paper details a tinkering approach used to engage PSTs in thinking computationally as they worked with geometric concepts they will be expected to teach in K–5. Experiences programming in Logo to construct authentic artifacts in the form of two-dimensional geometric graphics not only supported PSTs’ understanding of core geometric and spatial concepts, but also helped them to make connections between mathematics and computational literacy. Artifacts and discourse are discussed as they relate …

Why I Believe People Need Painting By Numbers, Jason Makansi

Numeracy

Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 978-0998425900.

This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale from utter nonsense …

Improving Mathematical Skill: The Perceptions Of Rural Minnesota Mathematics Educators, Michael Haskins

All Graduate Theses, Dissertations, and Other Capstone Projects

This qualitative phenomenological study is focused on the perceptions of mathematics educators on how to improve mathematical skill in high school students. The main purpose was to describe, recognize, and interpret the lived experience that have allowed educators to achieve the best results for their students. The population for the current study was mathematics educators that were located in a rural Southwest Minnesota city with medium population. These educators were either college educators or middle and high school teachers. The measures that were used to select the participants for the study were that they must hold at least a bachelor's …

Developing Teacher Competencies For Problem-Based Learning Pedagogy And For Supporting Learning In Language-Minority Students, Peter Rillero, Mari Koerner, Margarita Jimenez-Silva, Joi Merritt, Wendy J. Farr

Interdisciplinary Journal of Problem-Based Learning

Teachers need to be able to design and implement problem-based learning (PBL) experiences to help students master the content and the processes in new mathematics and science education standards. Due to the changed population of learners within schools, it is also critically important that teachers in the elementary grades have the abilities to work effectively with English language learners (ELL). This article discusses the implementation of a major initiative by our teachers college to achieve both of these goals through Problem-Based Enhanced Language Learning (PBELL), which combines PBL, enhanced opportunities for language, and ELL methods. The implementation began with a …

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 …

Impact Of Kinesthetic Learning On Student Knowledge Retention And Attitudes Toward Mathematics, Alyssa Lustgarten

Honors Projects

This research study examines the impact of kinesthetic learning on student knowledge retention and attitudes toward mathematics. Specifically, this study focuses on teaching mathematics to secondary students through dance. Quantitative data was collected and analyzed regarding student mathematics knowledge retention and student attitudes towards mathematics. Although student mathematics knowledge retention increased for both the control and treatment groups, student attitudes toward mathematics decreased after the intervention for the treatment group.

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 …

Effects Of Guided Project-Based Learning Activities On Students’ Attitudes Toward Statistics In An Introductory Statistics Course, Timothy Jonathan Bayer

STEMPS Theses & Dissertations

This research sought to determine if the use of a guided project-based learning instructional approach improved students’ attitudes and academic performance in a college-level introductory statistics course at a community college. It also sought to determine if the guided project-based approach improved attitudes and academic performance more than a traditional lecture-based instructional approach. The research used a quasi-experimental Pre-test, Post-test approach. The independent variable was either the use of a guided project-based learning instructional approach or the use of a traditional lecture-based instructional approach. The dependent variables were student attitudes and final course grades. Students’ attitudes were measured using the …

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 of …

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 …

Discover Math With Sketchpad Explorer, Helen Crompton

Teaching & Learning Faculty Publications

Review of Geometer's SketchPad.

Parts Of The Whole: When Variation Is The Goal, Dorothy Wallace

Numeracy

The goals of higher education are a population of extreme variability in expertise, a diffusion of specialized knowledge across disciplinary boundaries, and production of strong K-12 teachers. Promoting these three goals has implications at all granularities, from the pedagogy of an individual college professor to the incentives and policies that shape systemic change.

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

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

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

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.

Integrating Writing To Enhance Mathematical Skills At The Elementary Level, Kendra J. Kupp

All Graduate Projects

The recommendations of the National Council of Teachers of Mathematics and the Washington State Commission on Student Learning Essential Academic Requirements are addressed. The benefits of integrating mathematics and writing are studied. Integrated activities and materials for a first and second grade mathematics curriculum are developed. Recommendations for implementing the project are given.

Can Games Help Develop Mathematical Thinking?, Dilshad Ashraf, Habib Hussain, Abdul Ghafoor, Dulshon Shamatov

Book Chapters / Conference Papers

No abstract provided.

An Educational Mathematics Game Called Allequator, Raymond Robert Beeson

All Graduate Projects

This paper contains a brief description of the procedures involved in making the game Allequator, an educational tool capable of reinforcing basic algebra concepts for students 7th through 12th grades. With the help of the Richland Public School District #400, Allequator has been published and is now available to teachers within the district.