Education Commons^™

Analyzing The Influence Of Mathematics Intervention Teacher Actions On Students' Mathematics Identities: An Examination Of Bipoc Student Perceptions And Past Learning Experiences., Sydni P. Morris

Electronic Theses and Dissertations

This dissertation examines mathematics education's past and present state in the United States, emphasizing mathematics intervention instruction. This dissertation includes a complex and critical analysis of intervention practices and historical and structural inequities based on race present in these interventions and mathematics education. In combination, it examines the construct of mathematics identities, their role in student success with mathematics, and trends surrounding mathematics education and its impact on populations of students of color. Using Critical Race Theory as an underlying framework and Critical Counter-Narrative as a methodology, it argues a need for marginalized student voices to be present in the …

What Pre-Service Teachers Want “Math” To Know: Examining Self-Identified Relationships And Critical Experiences With Mathematics, Claudia M. Bertolone-Smith, Alison Puliatte, Samantha Sommers, Michelle Unigarro, Danielle Vantassell

Excelsior: Leadership in Teaching and Learning

This study examines the self-reported critical experiences that undergraduate pre-service teachers (PSTs) choose to share when writing a letter directly to “Math” and creating a self-portrait of a math learning experience. The letters sought to initiate a personification of math and the self-portraits to further explore math learning experiences of the PSTs. The letters and portraits were examined to understand the types of math relationships and critical events PSTs reported and their impact on PST identity and agency as a future teacher. Portraits were analyzed by PST research partners. The relationship between the categories of critical events and mindset …

Data-Wisdom As A Framework For Building Data Literacy, Rita Swartzentruber

Masters Theses

In a world where “big-data” rules, the need for data literate citizens is critical. Not only do we need citizens who can read data, but also citizens who are critical of data practices that perpetuate racist practices. One potential answer for this call is to create “data-wise” citizens. The purpose of this design-based research study was to explore how secondary and post-secondary students can develop data-wisdom through the analysis of three data-inspired artistic data visualizations. This study examined the growth of data-wisdom in participants, the development of classroom norms, and the increase in positive perceptions of mathematics in participants. Data …

Trends Of Mathematics Education Research Studies Published In Journal Of Mathematics Education From 2017 To 2021, Hisham Barakat Hussein Prof.

International Journal for Research in Education

The study aimed to analyze the trends of mathematics education research published in the Journal of Mathematics Education in the last five years and to propose a future map for mathematics education research in the light of the analysis results, professors’ and experts’ views, and the contemporary international trends. The study used a simplified model to classify research in seven domains. Also, the researcher used a questionnaire for professors and experts to determine a future map for mathematics education research. The results showed the research trends in the Journal of Mathematics Education were most of the articles were single authored …

Sustaining At Scale: District Mathematics Specialists’ Adaptations To A Teacher Leadership Preparation Program, Michael Jarry-Shore, Victoria Delaney, Hilda Borko

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however, teacher leaders may receive less support. To ensure that teacher leaders continue receiving support, researchers can prepare district mathematics specialists to assume responsibility for preparing the teacher leaders. Little is known, however, about district mathematics specialists’ role in sustaining, and potentially adapting, professional development programs. We examined district mathematics specialists’ facilitation of an adaptive teacher leadership preparation program. Program sessions were originally facilitated by researchers then by …

An Investigation Of Active Learning On Students' Understanding Of Infinite Series Convergence, Zachary Coverstone

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Many students encounter infinite series for the first time as part of their single-variable calculus coursework. As part of this initial engagement with infinite series convergence, students grapple with infinity in ways that they haven't had to before. For instance, the fact that summing infinitely many terms sometimes yields a finite value, but at other times diverges, poses significant conceptual challenges.

I recently designed and implemented a curriculum for second-semester calculus centered in doing problems to help students develop ideas surrounding infinite series convergence, rather than using direct instruction. The unit design was patterned after a workshop at the Park …

Full Issue: Journal On Empowering Teaching Excellence, Volume 6, Issue 1, Spring 2022

Journal on Empowering Teaching Excellence

The full-length 2022 Special Issue (Volume 5, Issue 3) of the Journal on Empowering Teaching Excellence

Access the online Pressbooks version (with downloadable EPUB format) here.

The Spring 2022 issue begins with research that explores the perceptions of pre-service teachers relative to learning mathematics and science, with suggestions for how findings can impact curriculum and further research. The focus on pre-service teachers continues with research into their sense of self-efficacy with instructional technologies and whether specific techniques increase comfort level with technologies. Next, researchers explore the products that Generation Z students value most in their learning of a second language, …

The Integration Of Computational Thinking In Mathematics Education: The Current State Of Practices In School, Outreach, And Public Educational Settings, Hatice Beyza Sezer

Electronic Thesis and Dissertation Repository

This study investigates the integration of computational thinking (CT) in mathematics education by examining current CT practices in school, community outreach, and public educational settings to seek insight into further affordances of CT. A qualitative content analysis through a mix of inductive and deductive approaches is used to analyze online CT resources and computational artifacts. I interpreted the data through Kafai et al.’s (2020) framings of CT and a combination of constructionism, social constructivism, and critical literacy theories of learning. This study revealed that cognitive framing of CT (acquisition) receives greater attention compared to situated framing (participation), whereas the affordances …

The Impact Of Personal And Service-Related Factors On The Perceived Academic Success Among College Students, Ronnie Davis, Geraldine Doucet, Terayana Lamb, Sonya Sneed, David Fletcher

The Journal of the Research Association of Minority Professors

In recent years, student completion of the first year and second-year college curriculum has become a significant barrier to student success and retention especially at Historically Black Colleges and Universities. Despite low pass and retention rates, many degree programs in the U.S. require at least one college-level mathematics course, and the failure in this math course has contributed disproportionately to the failure to complete the first- and second-year curriculum.

The purpose of this study was to examine the predictability of the relationship between selected personal, academic, and service-related factors and the perceived academic success in mathematics among college students. Specifically, …

Reconceptualizing Mathematical Word Problems To Reflect Social Justice Principles And Culturally Relevant Teaching, Michelle Aryam Jackson

Theses and Dissertations

As currently developed and written, mathematical word problems lack cultural relevance for an increasingly culturally diverse population in elementary schools in the United States. The design and context of mathematical word problems promote the norms, values, and beliefs of the dominant culture while potentially negatively influencing students from non-dominant culture engagement and achievement in mathematics.

The purpose of this sequential, explanatory mixed-methods study was threefold: to (a)examine in-service teachers’ preexisting beliefs about the relevance of social justice and culturally relevant teaching related to their mathematics instructional practices before receiving a synchronous online professional development program; (b) assess the impact of …

Examining The Effectiveness Of Khan Academy As An Instructional Tool In A Highschool Mathematics Course, Shane C. Kreller

MSU Graduate Theses

With the many educational resources available to today’s educators, it is critical that educators utilize the best options to maximize instructional time and resources. With the widespread use of Khan Academy, it is worthwhile to examine if its most well-known attribute, its math program, is effective in improving student outcomes. This study examined if the use of Khan Academy in a high school math course would improve participating student scores over the course of a quarter marking period. The researcher anticipated that participating students would experience higher math scores and increased confidence in their ability to handle covered mathematical concepts.

Learning Mathematics While Black In Rural Appalachia: Black Students' Counterstories And Freedom Dreams About Mathematics Education, Sean P. Freeland

Graduate Theses, Dissertations, and Problem Reports

This dissertation aims to illuminate and uncover the experiences of Black students’ learning mathematics in rural Appalachia and specifically West Virginia. The focal theory for this study is Critical Race Theory (CRT) which centers the experience of Black students and their voices. The intersection of race, mathematics education, and the context of rural Appalachia contribute to the analysis of these experiences in specific ways. Participants for this study included six Black high school students from various communities throughout West Virginia. Through interviews and mathematical autobiographies, these students shared their experiences learning mathematics across their schooling experiences and also considering their …

Supporting Ambitious Mathematics Practices In The Face Of School Reform: A Case Study Of High School Leadership, Jacklyn Van Ooyik

Electronic Theses and Dissertations

School leaders—both administrators and mathematics leaders—play a critical role in the instructional improvement of teachers in schools. However, current research in mathematics education has not provided a complete picture of the network of administrators, mathematics leaders, and teachers and their roles in supporting ambitious mathematics practices. The purpose of this case study is to examine how ambitious mathematics practices are developed, supported, and sustained within a high school facing pressures for test score improvement and graduation competencies and the roles and responsibilities of school leaders that contribute to that support. In order to address this issue, my primary research question …

Creating A Culturally Relevant Statistics Assignment On Z-Scores, Grace Pai

Publications and Research

Culturally relevant teaching or pedagogy has become increasingly popular both in practice and in research, but there are still few curricular resources for instructors to use, particularly for a college-level mathematics course. Departing from the question “relevant to whom,” this article illustrates how to design a statistics assignment on z-scores that is culturally relevant to students based on their prior experiences. Ultimately, the author shares design principles—which includes the importance of considering student trauma—that can be transferable to any statistics or quantitative analysis/reasoning class.

The Effect Of Using Blackboard In The Light Of Daniel’S Model On Teaching Mathematica Program And Developing Science Processes, Reasoning Ability, And Academic Achievement, Samia Hussien Goda

International Journal for Research in Education

The purpose of this study was to explore the effect of using blended virtual classrooms in Blackboard in the light of Daniel’s model on teaching Mathematica program and developing the science processes, reasoning ability and academic achievement. The participants comprised 50 female students at Mathematics department, University of Tabuk. The researcher designed the two assessment tools, namely science processes test and reasoning ability test. Then the researcher taught the instructional content by using virtual classrooms blended learning in Blackboard in the light of Daniel’s model, in accordance with the teacher’s manual guide. Then, the researcher applied post-testing on the experimental …

Mathematics Anxiety: Supplementary Materials, Sarah Buckley

Student learning processes

This publication contains two professional development activities for teachers which focus on mathematics anxiety. One is a team-based activity and the other is an activity for individuals. The activities encourage both mathematics teachers and non-mathematics teachers to reflect on their current practice, their attitudes towards mathematics, their ideas about teaching mathematics and the mathematical beliefs of students.

Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout

Student learning processes

This publication contains three professional development activities targeted at teachers of mathematics. The activities for both groups and individuals focus on the challenge of word problems in maths and connecting maths to the real world. Also included are references, materials and resources related to the issue of the connections between numeracy and mathematics.

Patterns, An Approach To Learning Algebra And Developing Mathematical Thinking In Primary School In Honduras, Johana Elizabeth Thomas Zapata, Alejandra Cáceres

English Language Institute

No abstract provided.

Women Leaders In Mathematics Education: An Analysis Of Gender In Leadership Roles In Professional Organizations, Brianna Kurtz, Farshid Safi

Journal of Educational Leadership in Action

Professional organizations within mathematics education have been a source of development, connection, pedagogical direction, and policy for decades. With gender and equity discussions reaching the forefront of the mathematics education conversation, one must consider the gender representation of those leading the organizations upon which we rely. The authors analyzed historical presidential data from four major mathematics education professional organizations in the United States. Women were found to be in presidential roles at a statistically significantly less proportion (p<0.001) in three of the four organizations. When the organizations were considered aggregately since the enactment of Title IX, a trend to a plateau at 40% female leadership was seen. Future analysis beyond the presidential role and breakdowns by other factors are advisable.

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.

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 …

Critical Mathematical Inquiry

Occasional Paper Series

Welcome to Issue 41 of Bank Street’s Occasional Paper Series. The issue features a collection of papers by authors with a shared affinity for the work of critical mathematical inquiry (CMI). In what follows, we present our framing of mathematics education as a participatory venue for CMI and situate it in the context of another, perhaps more familiar approach to teaching mathematics for social justice (TMfSJ).

The “Soft Bigotry Of Low Expectations” And Its Role In Maintaining White Supremacy Through Mathematics Education, Laurie Rubel, Andrea V. Mccloskey

Occasional Paper Series

In this study, we offer an analysis of the phrase the "soft bigotry of low expectations" and considers its role in rhetoric about U.S. mathematics education policy and practice, especially in regards to Critical Mathematical Inquiry. From the phrase’s origins in a speech given by President George W. Bush in 2000, to its current use on social media, this phrase offers a lens into white supremacy and "tools of whiteness" (Picower, 2009), and their persistence in U.S. schooling paradigms, especially about mathematics. We analyze specific, recent instantiations of the phrase on blogrolls and Twitter, in addition to more implicit …

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.

Cultivating A Space For Critical Mathematical Inquiry Through Knowledge-Eliciting Mathematical Activity, Debasmita Basu, Steven Greenstein

Occasional Paper Series

Learning mathematics becomes more effective when teachers leverage their students' mathematical and everyday knowledge as resources for instruction. Thus, tasks that reveal these forms of knowledge would be especially useful to teachers. Unfortunately, such tasks are hard to find and even harder to create. Consequently, we developed a collection of mathematical tasks that we hoped would elicit “children’s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children’s mathematics learning—including children’s mathematical thinking, and children’s cultural, home, and community-based knowledge)” (Turner et al., 2012, p. 68). These tasks proved to be productive …

Disciplinary Learning From An Authentic Engineering Context, Catherine Langman, Judith Zawojewski, Patricia Mcnicholas, Ali Cinar, Eric Brey, Mustafa Bilgic, Hamidreza Mehdizadeh

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

This small-scale design study describes disciplinary learning in mathematical modeling and science from an authentic engineeringthemed module. Current research in tissue engineering served as source material for the module, including science content for readings and a mathematical modeling activity in which students work in small teams to design a model in response to a problem from a client. The design of the module was guided by well-established principles of model-eliciting activities (a special class of problem-solving activities deeply studied in mathematics education) and recently published implementation design principles, which emphasize the portability of model-eliciting activities to many classroom settings.

Two …

Learning Outcome Literacy: The Case Of Five Elementary Mathematics Teachers, Dilsad Güven Akdeni̇z, Ziya Argün

Australian Journal of Teacher Education

: Learning outcome (LO) literacy is conceptualized as a necessary skill for planning teaching and learning activities effectively. The skill has two main components: understanding and interpreting learning outcomes. The current study aimed to identify learning outcome literacy of elementary mathematics teachers with regard to this conceptualization. It is a case study based on the qualitative design. Participants were 5 mathematics teachers working at different elementary (5^th - 8^th grade) schools in Turkey. Observations and semi-structured interviews were used for data collection based on 10 learning outcomes selected from algebra and number learning domains in local mathematics curriculum. …

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 …

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

Ryan Andrew Nivens

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.