Education Commons^™

Caminatas Comunitarias Para Enseñar Matemáticas En La Costa Caribe Colombiana: Un Enfoque Rural, Ricela Feliciano-Semidei, Kevin A. Palencia Infante, Jonathan A. Cervantes Barraza

Faculty Books & Book Chapters

Este libro recopila la experiencia vivida por docentes de matemáticas e investigadores que participaron del proyecto Pedagogías basadas en la comunidad rural para la enseñanza de las matemáticas en áreas rurales de la costa caribe colombiana. Los autores contextualizan estas experiencias para que puedan ser replicadas por otros docentes. Para lograrlo, se guía al lector con teorías educativas, políticas educativas, reflexiones y ejemplos alineados al currículo colombiano actual. Los ejemplos sirven de modelo y motivación para crear otras lecciones utilizando estas teorías. Este libro invita a los lectores a transformar las experiencias de los estudiantes de áreas rurales en recursos …

Pre-Calculus: Thinking Deeply About Simple Things, Jacob Carter

Graduate Research Showcase

“Pre-Calculus: Thinking Deeply About Simple Things” is a research-based creative endeavor focused on designing a high-school pre-calculus course. This course aims to foster deep, meaningful thinking, as well as an appreciation of the values of diversity, equity, and inclusion in the math classroom. The course leverages students’ funds of knowledge to employ culturally responsive teaching methods to connect mathematical concepts to the students’ backgrounds, interests, and real-life situations. This course also integrates social-emotional learning to create an engaging and supportive learning environment for all students. By combining Peter Liljedahl’s “Building Thinking Classroom in Mathematics” approach with problem-based learning, the course …

Using L1 Student Narratives And Peer Teaching To Increase Secondary Education Mathematical Understanding, Marco Antonio Martinez Leandro

Teacher Education, Educational Leadership & Policy ETDs

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States, participated in this study.

The study's main objective was to observe the effects of using students' discourse in their language and the support of technology to increase their academic literacy in mathematics. Solution-based pedagogy was central to helping students achieve the Development of Academic Literacy in Mathematics …

Connecting Music To The Mathematics Classroom, Nicholas Parr

Honors Projects

This project investigates the importance of integrating music into mathematics classrooms K-12. By outlining the numerous connections between mathematics and music, and applying those to pedagogy, the project provides interdisciplinary overlaps that may be unknown to current teachers. Evidence supports the conclusion that mathematical abilities improve after musical infusion, yet the presence of this intervention is lacking in grades 7-12. Therefore, both mathematical and musical intelligence suffer as a result of the separation of electives and core classes. This project contains eight original mathematics content standards, which would coincide with the Ohio Learning Standards for Mathematics, as well as a …

Reflecting On Movement In The Math Classroom, Zoey Berger

Honors Projects

The purpose of this paper is to determine how reflection on movement effects the learning and connections made by students in the math classroom. Kinesthetic Movement is a learning style that is oftentimes forgotten about and left out of classroom instruction. It can help increase motivation, build deeper connections, and create a more positive disposition towards math for students. Research was conducted in four, eighth grade, pre-algebra classes, with some classes being given the opportunity to reflect more than others. Test scores, journal responses, and interest surveys done by the students are used to show inconclusive results that reflection on …

Investigating Correlations Among A Growth-Mindset Intervention, Students’ Math Anxiety, And Students’ Math Self-Efficacy, Anna Grace Chamberlain

Honors Projects

This paper details the methodology, data, and conclusions of a research study investigating the correlations among a growth-mindset intervention, math anxiety, and math self-efficacy. The study found that teaching students about mindset through an intervention approach did not make a significant difference in students’ math anxiety or math self-efficacy. Teacher-centered factors are discussed as having a greater impact on students’ math anxiety and math self-efficacy.

Impacting African American Student Achievement In The Middle School Stem Classroom By Teaching Mathematics Through Arts Integration And Design Thinking, Robert Lippert, Tjuannia R. Seals

Dissertations

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized assessments, performing significantly below their Caucasian counterparts in mathematics and science. From the beginning of their academic careers, a lack of access to quality teachers, excessive use of direct instruction strategies, and a lack of resources in their school communities, contribute to their overall apathy towards the subject matter and factor into their underperformance. As a …

A Collection Of Calculus Lesson Plans: Deriving The 'Why' Behind Derivatives, Kasey Brabec

Honors Theses

The traditional mathematics classroom is led with a focus on procedural understanding, with deep conceptual understanding considered to be unimportant or too difficult to teach within the allotted time. Both levels of understanding are important mathematical competencies, as it is rare for either of them to function well without accessibility to the other. The disparity between conceptual understanding and procedural understanding in the mathematics classroom is no larger than in courses like Calculus. This project is a collection of fifteen lesson plans constructed with an emphasis on conceptual understanding and the connectivity of Calculus. Each lesson plan’s overview contains the …

Mathematics Tracking: Policy Brief, Melissa P. Donham

Journal of Multicultural Affairs

Tracking is a long-standing practice in schools. Students are often placed in tracks beginning in upper elementary or middle school. The tracks in which students are placed in earlier grades set them up for the mathematics courses they are able to take in high school. The number of mathematics tracks for students can differ from school to school, but the policy of having mathematics tracks is common throughout schools in the United States. This policy brief will discuss the arguments for and against mathematics tracking policies, implications for educators and policymakers, and future directions.

Associating High School Science, Technology, Engineering, And Math (Stem) Course-Taking With Future Earnings For Non-Stem Employed High School Graduates, Beth Marchant

Dissertations

Problem

Due to the current resurgence of attention given to high school students' taking courses in Science, Technology, Engineering, and Mathematics (STEM), research was needed to examine whether a relationship between the number of STEM courses a high school student, who graduates from high school and works in a non-STEM field, completes and the success of that student 10 years later. One measure of student success, future earnings, can be measured quantitatively and is included in the Education Longitudinal Survey of 2002 (ELS:2002) data set, an ideal source of information to evaluate this issue (Institute of Education Sciences, 2019b).

Method …

Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko

Journal of Catholic Education

This study explores the commitment of a school faculty to use the pedagogical practices needed to employ a project-based unit of Science, Technology, Religion, Engineering, Arts, and Mathematics (STREAM). The unit of study concentrated on environmental sustainability of butterflies through project-based learning (PBL). Teacher interviews were analyzed to reveal the similarities and differences, strengths and weaknesses in the teachers’ reactions to implementing a cross-curricula content unit designed for a pre-kindergarten (PK) to eighth grade school. Analysis of teacher data and classroom artifacts provided evidence of: content mastery at the student levels; implementation of scaffolding for developmental levels; and the need …

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …

High-Growth High Schools In Arkansas Based On Performance On The Act Aspire Examination, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2022 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

Entrepreneurship Education Relation To Mathematical Proficiency Amongst Secondary Youth, Mariam Abdelhamid

STEMPS Theses & Dissertations

Mathematical aptitude in the United States has been a concern over the past few decades, not only from an international perspective but from a student proficiency perspective. This phenomenon is also further negatively impacted due to COVID-19 associated learning loss. Correspondingly, there are calls for students to develop entrepreneurial skills to thrive in the 21st century economy. The purpose of this quasi-experimental study was to examine whether participation in an entrepreneurship class was related to mathematical proficiency (Algebra II) in high school. Data on students from two school districts were used, consisting of 2,741 and 1,172 Algebra II students in …

Examining Small-Group Discourse Through The Lens Of Students’ Beliefs About Mathematics And The Instructional Triangle, Jennifer Ericson

Doctoral Dissertations

Standards-based mathematics instruction [SBMI], with opportunities to engage in high-quality mathematical discourse about meaningful tasks, leads to increased student achievement. However, not all students participate in mathematical discourse with high-quality. Esmonde & Langer-Osuna (2013) found that students participate in discourse with various degrees of engagement based upon individual beliefs. Boaler (2006b) found that SBMI in a detracked setting improves students’ beliefs about mathematics. The purpose of this descriptive case study was to illustrate the phenomenon of incongruent written curricula commitments across grade bands in a school district by examining small-group discourse and students’ mathematical related beliefs. This study compared students’ …

Assessing Teachers’ Pedagogical Practices And Students’ Learning Outcomes In Science And Mathematics Across Primary And Secondary School Level: A Nationwide Study (2018-21), Sadia Muzaffar Bhutta, Nusrat Fatima Rizvi

Institute for Educational Development, Karachi

No abstract provided.

Determining The Difficulty And Discrimination Parameters Of A Mathematics Performance-Based Assessment, Abraham Gyamfi, Douglas G. Wren

Educational Foundations & Leadership Faculty Publications

Performance-based assessment (PBA) is different from traditional testing methods in that PBA presents real-life problems for students to solve by integrating critical thinking with their content knowledge and skills. Implementing PBA regularly in mathematics classes is associated with improved student achievement and motivation to learn; however, there are concerns about the general lack of psychometric data to support the use of performance assessments. To address such concerns, this study applied item response theory to estimate the difficulty and discrimination indices of items that comprised a newly developed mathematics PBA. Data were collected by administering the PBA to 750 senior high …

Lay It All On The Line: The Effect Of Teacher-Student Conferencing In Middle Grades Mathematics Classrooms, Natalie Ostrander

Doctor of Education Dissertations

Increasing math achievement continues to be a commonly talked about subject in the educational setting. This case study observes one classroom teacher who implemented teacher-student conferencing in middle grades mathematics classes. The purpose of this study was to reveal the perceived impact of teacher-student conferencing on student engagement and with student achievement. Through a qualitative approach, perceptual data were collected through teacher journaling, conference logs, observations, and an interview. Research occurred in one school district in southeastern North Carolina with middle grades students in sixth and eighth grades. After the qualitative data were collected by me, data were analyzed using …

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …

High-Growth High Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison

The Journal of Purdue Undergraduate Research

No abstract provided.

The Effects That A Flipped Classroom Has On Engagement And Academic Performance For High School Mathematics Students, Jordan Geraets

Dissertations, Theses, and Projects

Flipped classrooms continue to spark educator’s attention and curiosity as an alternative to the traditional teaching and engagement in a classroom, especially during the time of a global pandemic. New, innovative technology has allowed for educators to be able to evolve their classrooms into new learning environments. Research into how flipped classrooms can impact mathematics classrooms and how students engage and perform differently than in a traditional mathematics classroom was expanded on in this study to determine what benefits there could be for students and how effective the teaching model can be in a class where students often struggle. As …

Metacognition In A Mathematics Classroom, Paige Murta

Honors Projects

The purpose of this action research study is to explore the connections between students’ ability to engage in metacognitive methods, their understanding of mathematical content, and their mathematical performance. By having a group of students engage in a lesson about metacognition and a mathematical modeling problem then comparing their test scores to that of a control group a correlation can be found to analyze the effects of metacognition methods in a mathematics classroom.

Increase Enrollment Of Underrepresented Students In Advanced Mathematics Classes: A School Improvement Plan, Sarah Dougherty

Master's Theses & Capstone Projects

Providing minority students with the opportunity to engage in advanced mathematics courses affords them access to more engaging learning opportunities, increased motivational beliefs towards mathematics, and potentially higher future earnings dependent on the career they pursue. Examining the present enrollment statistics in math courses at the research site, the need to transform the enrollment in advanced math courses to represent the school population demographics is revealed. In response, a school improvement plan was developed using research-based initiatives. This plan includes teaching a mixture of advanced and non-advanced math courses, teachers advising non-AP and non-IB students to enroll in advanced math …

How Teachers Use Formative Assessment Strategies During Teaching: Evidence From The Classroom, Hem Chand Dayal

Australian Journal of Teacher Education

Using lesson observations, the study reported in this article explores how two practising secondary mathematics teachers implemented formative assessment actions in their classroom teaching. The study also investigated whether teachers’ beliefs about teaching and assessment could be mapped onto their classroom practices. In particular, while the two teachers were implementing student portfolio assessment in their own Year 9 mathematics lessons, the classroom observations focused on how they utilised formative assessment actions such as clarifying and sharing learning criteria intentions and criteria for success; activating students as instructional resources; and, providing feedback that moves learners forward. The findings suggest that one …

Factors Impacting Students’ Perceptions Of Mathematics, Amber Souza

Honors Program Theses and Projects

I want to be able to present math in a positive light to all of my future students, regardless of race, gender, and math background. However, for teachers as a whole to be able to take this important step, they must first develop a deeper understanding of why math is a sore spot for many students.

The Effects Of Small-Group Collaboration On Student Attitudes Towards Mathematics, Philip Golden

Undergraduate Theses

Collaborative group work has become a prevalent teaching strategy in high school mathematics classrooms, and for good reason. When implemented effectively, studies show that collaboration improves student learning outcomes. However, there are other factors to consider when deciding on best practices for teaching, one being student attitudes towards the content. In particular student attitudes towards mathematics (which are not generally positive) are important to consider. In this study, students in a high school mathematics classroom took a survey before and after a unit that implemented collaborative strategies. Results of the study indicate that student attitudes towards math improved after working …

The Impact Of Frayer Models In A Mathematics Classroom, Makenna Geise

Honors Projects

The purpose of this action research study was to explore the impact that Frayer Models have on students’ attitudes towards mathematics. I conducted a two-week unit on transformations, where students were introduced to a classroom focused on academic language, supplementing their learning with Frayer Models for homework and in-class assessments. I assessed their attitudes towards mathematics before and after the use of the Frayer Models, where I analyzed the effect that the Frayer Models had on the students and their use of academic language. It was evident that most of the students’ found the focus on academic language beneficial to …

Enabling And Threatening Factors Affecting Persistence. A Qualitative And Quantitative Study On Rural First-Generation Stem Students’ And Stem Faculty's Perspectives., Travis A. Miller

Graduate Theses, Dissertations, and Problem Reports

This study focuses on the factors that enable and threaten rural first-generation STEM students’ persistence. Limited empirical studies are available that focus on rural first-generation STEM majors’ persistence. Quantitative analysis was conducted using Kruskal Wallis H and Mann-Whitney U tests to determine any significant differences with the survey results. Content and thematic analysis was conducted on the student and faculty interviews to determine themes of enabling and threatening factors affecting persistence.

Enabling factors affecting persistence were found to be: Drive or Motivation, Experiences and skills, and Support. These were both faculty and student interview themes whereas a …

Teacher Support Of Co- And Socially-Shared Regulation Of Learning In Middle School Mathematics Classrooms, Melissa Quackenbush, Linda Bol

Educational Foundations & Leadership Faculty Publications

Social influences on classroom learning have a long research tradition and are critical components of self-regulated learning theories. More recently, researchers have explored the social influences of self-regulated learning in cooperative learning contexts. In these settings, co-regulation of learning and socially-shared regulation of learning strategies have been aligned with self-regulated learning theory. However, without specific training or structure, teachers are not likely to explicitly integrate SRL strategies into their teaching. We use case studies to better understand how Zimmerman's theory of self-regulated learning (2008) and Hadwin's conceptual framework of socially-shared regulation of learning (2018) emerge from teachers' support of student-centered …