Secondary Education Commons^™

Rockin’ Rover On The Rainbow Road, Michael Kolta, Lawrence Burgee, Ying Yuan

Transformations

This paper presents a progressive series of age-appropriate lesson plans for grades K-12 that all use the same interdisciplinary activity to educate students about Science, Technology, Engineering, Art, and Mathematics (STEAM) simultaneously. Technology from Texas Instruments (TI) was employed including a TI Nspire graphing calculator that can run Python programs, a TI Innovator Hub, and a TI Rover. The TI Rover is a small, robotic car that has sensors and is controlled by the calculator via the Hub hardware interface. A Python program was developed that uses the color sensor in the Rover to detect the color on colored paper …

Exploring Student And Teacher Perceptions Of Building Thinking Classrooms In Secondary Mathematics, Savanna Wolff

Masters of Education in Teaching and Learning

This action research study examined the perceived impact of a Building Thinking Classrooms framework on student engagement and participation in small-group discussion. The guiding research question explored both student and teacher perceptions of how the framework influenced classroom engagement. Data was collected through surveys, one-on-one interviews, focus group interviews, and classroom observations over a four-week period. Qualitative analysis identified four key themes: student agency and mathematical identity; mathematical communication and thinking; collaboration and group dynamics; and learning environment, structure, and engagement. Findings suggest that both students and the teacher perceived an increase through Building Thinking Classrooms in student engagement by …

A Guided Curriculum Approach To Supporting Critical Thinking And Mathematical Readiness In Ib Physics, Samantha Killeen

Masters Projects

The purpose of this project is to address the problem that many students lack the critical thinking and mathematical reasoning skills required to be successful in rigorous STEM courses like IB Physics. While students may perform well in mathematics courses, they often struggle to transfer those skills into physics contexts that require conceptual understanding and problem-solving. These challenges have been intensified by academic tracking in mathematics pathways, post-pandemic learning loss, and increased dependence on technology, which have reduced the opportunities for productive struggle in the classroom. As a result, students frequently enter IB Physics unprepared for the pace and rigor …

Integrating Music Content Into The Secondary Mathematics Classroom: Facilitating The Process Of Designing Interdisciplinary Lessons, Denae Bumpus

Honors Projects

Many people enjoy music, and music has a multitude of connections to mathematics, so it makes sense for a mathematics classroom to incorporate musical elements into the instruction, but the literature has shown that many math teachers do not have a strong enough musical background to feel confident in incorporating music into the math class. Therefore, this research sought to provide a resource to help secondary mathematics teachers integrate age-appropriate musical applications to their mathematics lessons which connects standards of mathematics into standards of music. Specifically, the paper connects the Ohio Standards of Mathematics for Geometry with the course objectives …

The Impacts And Interplay Of Adolescent Personal Contexts And Sense Of Belonging To Mathematics On Postsecondary Stem Field Interests And Intentions, Monica J. Weir

Dissertations, Theses, and Projects

This quantitative correlational research sought to examine the relationship between high school students’ sense of belonging to mathematics and their interests and intentions to pursue fields of study and careers in science, technology, engineering, and mathematics (STEM). With a theoretical framework based on the belongingness hypothesis and social cognitive career theory (SCCT), the author explicitly linked the universality of the phenomenon of sense of belonging to individual, contextual, environmental, and experiential factors that influence career-related interest development. A sample of 328 high school students attending one private, Catholic, college preparatory school in the Upper Midwest of the United States responded …

Using Geogebra To Foster Imagination And Creativity To Build Mathematics Confidence In A Stem World, Joseph M. Furner

Transformations

Math teachers can better prepare all student for a STEM world using computer software like GeoGebra to better prepare our youth for such high-tech careers like that of which Einstein was part of while also emphasizing and fostering creativity in the learning of mathematics. It is critical we have young learners who are confident in their ability to do math and be creative. Teachers today need to check dispositions toward mathematics and address math anxiety while building math confidence in their students. In an ever-advancing world of technology, math teachers need to incorporate such emerging technologies like GeoGebra into the …

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 …

Prospective Teachers' Conceptions Of Area, Betsy Mcneal, Sayonita Ghosh Hajra, Michael Battista, Ayse Ozturk

Teaching & Learning Faculty Publications

This study explored 10 prospective teachers’ (PTs’) understanding of the area of a rectangular region using square and non-square rectangular area-units. In an hour-long interview, each PT was first asked to explain how they would find the area of a given rectangular region in terms of a non-square notecard. For several PTs, this task prompted discussion of a square unit defined by the edge of the notecard. In a second task, PTs were presented with a rectangular array of squares and were asked to explain to a fictional child why multiplying length times width does not count the top left …

Asynchronous Class For Algebra I Preparation, Hunter Garretson

Williams Honors College, Honors Research Projects

Algebra I is the first high school mathematics class students take making it an important building block in the student’s growing mathematical foundation. Mitigating any losses in knowledge over the summer by using educational review tools has been proven helpful in previous studies. Every student comes from a different background, socioeconomic class, ethnicity, culture, etc., allowing each student to have a different summer experience. A meta-analysis looking into the concern of Summer Learning Loss (SLL) found that while some of its sample size would make summer knowledge gains, more than half of the sample size was projected to suffer from …

Student Engagement In Model School Math: A Phenomenological Study Of Student Perspectives At A Model Continuation High School, James Robert Coles Iii

Theses and Dissertations

The purpose of this phenomenological study was to explore the perspectives on engagement of students who had passed Model School Math (Integrated Math 1 or Algebra 1) and graduated within the years 2015 to 2019 from a Model Continuation High School in California. This study sought to discover the strategies, policies, and procedures which best supported at-risk students and adequately prepared them for college and career after attending a continuation high school. The theoretical framework used for this study was flow theory. This phenomenological qualitative study was conducted in one school district with students who attended a single site. Each …

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 …

Near Peer Pedagogies For Culturally Sustaining Computer Science And Mathematics, Cliff Freeman, Eli Tucker-Raymond, Juan Gutierrez

Journal of Computer Science Integration

In this study, College STEM Literacy Workers act as co-teachers in 9th and 10th grade classrooms alongside mathematics teachers as they both learn to integrate a 30-hour integrated computer science/mathematics curriculum. As part of the curriculum for educator learning, we adapted the Algebra Project’s “Model of Excellence” for culturally relevant-sustaining pedagogies. We used the framework to explore how teachers understand College STEM Literacy Workers’ contributions in the model as well as College STEM Literacy Workers’ own experiences in the classroom. We found that while teachers and College STEM Literacy Workers did not individually instantiate the model of excellence, they were …

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 Program: Senior Projects (Public)

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.

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 …

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 …

How Instructional Strategies Impact Mathematics Self-Efficacy And Learning: Middle School Student Perceptions, Roni R. Herndon

University of the Pacific Theses and Dissertations

This research focuses on middle schools where more than 90% of the students are socioeconomically disadvantaged and where mathematics scores are below the state and national average. The study was conducted to better understand how students experience various instructional strategies and perceive these classroom practices to impact their learning and self-efficacy in mathematics. A hybrid mixed methods research design, with both embedded and explanatory sequential components, was employed. Quantitative results are based on survey responses from 94 seventh grade students. Qualitative results are based on five teacher and eight student interviews.

Informed by teacher interviews, the Instructional Strategies Impact Survey …

Integrating Computing Into Preservice Teacher Preparation Programs Across The Core: Language, Mathematics, And Science, Lauren E. Margulieux, Patrick Enderle, Pier Junor Clarke, Natalie King, Caroline Sullivan, Michelle Zoss, Joyce Many

Journal of Computer Science Integration

This paper describes the beginning of a design-based research project for integrating computing activities in preservice teacher programs throughout a middle and secondary education department. Computing integration activities use computing tools, like programming, to support learning in non-computing disciplines. The paper begins with the motivation for integrating computing that encouraged widespread buy-in, design goals, and design parameters. The primary motivating factor for this work was preparing teachers to use technology to support learning in their classrooms. Involving computing education faculty in the preparation enabled the activities to include computer science and spread computational literacy. The paper also describes the process …

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 …

The Relationship Of Instructional Time On High School Students' Mathematical Achievement In The State Of New Jersey, Natalie Diaz

Seton Hall University Dissertations and Theses (ETDs)

This non-experimental quantitative study sought to analyze the relationship between instructional time and high school students' mathematical achievement as measured by the 2019 New Jersey Student Learning Assessment (NJSLA) for Algebra 1. In addition to determining to which extent the district factor groups (DFGs) affect the relationship between instructional time on the performance of high school students on the 2019 New Jersey Student Learning Assessment (NJSLA) for Algebra 1 when controlling for staff, student, and school variables. The 2018–2019 NJDOE Performance Report provided the variables used in this study. The unit of analysis was public high schools in New Jersey …

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.

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 …

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

Educational Leadership & Workforce Development 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 …

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 …