Secondary Education and Teaching Commons^™

Supporting Students’ Self-Efficacy And Motivation In The Mathematics Classroom, Audrie H. Cox

Masters Projects

This project examines the role of mathematics self-efficacy in supporting student motivation, engagement, and achievement in secondary mathematics classrooms. Through a review of current research, the project identifies instructional practices that strengthen students' confidence in their mathematical abilities, including formative assessments, meaningful feedback, supportive teacher-student relationships, and opportunities for productive struggle. Drawing on these findings, a professional development workshop session was developed to equip secondary mathematics teachers with practical, research-based strategies that promote positive mathematics self-efficacy and improve overall classroom instruction. By translating research into actionable teaching practices, this project aims to support more confident, motivated, and successful mathematics learners.

Reminiscences Of My Past Life As A High School Math Teacher, Wayne Nirode

Journal of Humanistic Mathematics

In this article, I reflect on my twenty years as a high school math teacher. I describe four distinct phases of my career in five-year increments. I aim to make public both what makes teaching high school students rewarding and what makes it difficult. Also, my writing illuminates how indelible the first five years were to my development as a teacher. I hope that this brief memoir helps early-career teachers see past the tumultuous beginnings while also inspiring veteran teachers to reflect on their own careers.

Returning To School After A Pandemic And The Lived Experiences Of Rural High School Mathematics Teachers On Student Success, Joshua Saúl Silva

Dissertations

Purpose: The purpose of this qualitative phenomenological methodology investigation was to examine and describe rural mathematics teachers’ lived experiences on the effects of the COVID-19 global pandemic on freshman students returning to school after being online for 2 years through the lens of Bandura’s theory of self-efficacy and serves as part of a thematic dissertation with each researcher focusing on different educators in the K-12 school system.

Methodology: Through qualitative methodology utilizing one-on-one interviews of nine rural high school freshman mathematics teachers with 5 or more years of experience before, during, and after the COVID-19 global pandemic, data was analyzed …

A Case Study On Targeted Support Using Tpack Model For Newly Hired Secondary Mathematics Teachers, Kristin Leigh Mckitrick-Rojas

STEMPS Theses & Dissertations

As teachers plan for instruction, technology integration is an important factor in the planning and implementation process. This is become imperative in a virtual learning environment for instructors to be competent (Gregory & Lodge, 2015). Problems exist with integrating technology that aligns with teaching and learning in content areas. Among the many possible factors that contribute to these problems is lack of understanding of technology, lack of support for teachers with technology, everchanging technology tools, inadequate training alignment to instruction, technology training that is not content-specific, lack of support with the integration of technology, pedagogy, and content (Koehler et al., …

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.

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 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 …

Preservice Teachers As Document Detectives, Lorna Quinnell, Radha Iyer, Bronwyn Ewing

Australian Journal of Teacher Education

Literacy today relies on a readers’ ability to analyse text critically. This case study investigated preservice teachers’ critical analysis of media text containing visuals and representations. In particular, the analysis focused on mathematical factors that impact on readers’ interpretation of diverse visuals.

Data was gathered from the 23 preservice teachers, enrolled in the Graduate Diploma program at one Australian university. They participated in a series of mathematics learning sessions focused on the critical analysis of a selection of media items.

The paper argues that the ability to critically analyse graphs and visuals relies on mathematical knowledge and that the ability …

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 (ETD)

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 …

Effects Of Professional Learning Communities On Instructional Revisions In Secondary Mathematics Classrooms, John Kenneth Bond

Theses, Dissertations and Capstones

This non-experimental, descriptive study examined the effect(s), if any, that professional learning communities have had on the professional practices of secondary (grades 9-12) mathematics teachers in Boone, Clay, Putnam, and Kanawha counties in West Virginia. Also investigated were the potential differences in instructional-practice change(s) based on selected demographic variables: sex, degree level, the grade level taught, the total years of teaching experience, the total number of years in their current position, the specific math subject taught, the total number of years of PLC participation, and the composition (e.g., departmental, cross-curricular, or both) of participants’ PLC. Data were collected from a …

The Oasis Skateboard Factory: Return To The One-Room Schoolhouse, William Robertson

Selected Works Temporary Series

How can you get young people interested in science and mathematics? What efforts are there to integrate the experiences of high school students into the things they need to do and learn in school? How can action sports, like skateboarding be used to teach science, mathematics, language arts, history and help at-rick and marginalized students to grow in their engagement and motivation in high school, as well as to graduate? This is in part answered at the Oasis Skateboard Factory (OSF) an alternative high school in Toronto, Canada. The factory, under the direction of founding teacher Craig Morrison, has enjoyed …

The Oasis Skateboard Factory: Return To The One-Room Schoolhouse, William Robertson

Departmental Papers (TE)

How can you get young people interested in science and mathematics? What efforts are there to integrate the experiences of high school students into the things they need to do and learn in school? How can action sports, like skateboarding be used to teach science, mathematics, language arts, history and help at-rick and marginalized students to grow in their engagement and motivation in high school, as well as to graduate? This is in part answered at the Oasis Skateboard Factory (OSF) an alternative high school in Toronto, Canada. The factory, under the direction of founding teacher Craig Morrison, has enjoyed …

Middle School Mathematics Pre-Service Teacher’S Responses To A Mathematics Content And Specific Mathematics Pedagogy Intervention, Stephen J. Norton

Australian Journal of Teacher Education

Prospective middle school pre-service teachers’ knowledge and affect in Australia has had little empirical research. In this study, 108 graduate entry pre-service teachers were surveyed for their knowledge of middle years’ mathematics, confidence, and self-efficacy at the commencement of a mathematics curriculum course. It was found that their memory of middle years’ mathematics was very poor and this was accompanied by low levels of confidence and self-efficacy. An intervention was undertaken to address these issues. The findings are discussed in the context of the “genericism” of pre-service teacher preparation. In particular, the findings call into question the justification for pre-service …

An Application Of The Solo Taxonomy To Classify Strategies Used By Pre-Service Teachers To Solve “One Question Problems”, Joanne C. Caniglia, Michelle Meadows

Australian Journal of Teacher Education

: The purpose of this article is to report on the strategies of secondary mathematics pre-service teachers (PSTs) as they solved conceptually rich problems. Using the Structure of Observed Learning Outcomes by Biggs and C (1982) (SOLO) Taxonomy, 15 PSTs’ solutions (in groups of 3 or 4) were analyzed by a panel of three mathematics educators. In addition, the authors studied questions posed by PSTs during their student teaching experiences through video analysis. Questions were then categorized using Crespo’s criteria of problem posing. Results showed a significant majority of the problems posed were procedural while PSTs own problem solutions showed …

The Importance Of Automaticity Development In Mathematics, Austin T. Baker, Josh Cuevas

Georgia Educational Researcher

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the interview were a range of difficulty, starting with a simple problem like 1 x 9 and increasing in difficulty to 6 x 9. The last four questions were open-ended with the intent of gaining insight into whether the students were using strategies to complete the problems or if they …

A Qualitative Case Study Of Mathematics Teachers' Formative Assessment Feedback, Ryan Rathje

Walden Dissertations and Doctoral Studies

Formative assessment is supported by research as a process to enhance student learning. A vital aspect in the process is the role of feedback which, based on its use, can support or hinder student learning. The problem addressed in this study was based on the concern of a high school administrator that teachers in the school were not using formative feedback in a manner that supported student learning. The purpose of this instrumental qualitative case study was to explore and understand the assessment and feedback practices of mathematics teachers in a private high school setting. The conceptual framework for this …

An Examination Of Accessible Hands-On Science Learning Experiences, Self-Confidence In One’S Capacity To Function In The Sciences, And Motivation And Interest In Scientific Studies And Careers., Mick D. Isaacson, Cary Supalo, Michelle Michaels, Alan Roth

Journal of Science Education for Students with Disabilities

This study examined the potential relationship of accessible hands-on science learning experiences to the development of positive beliefs concerning one’s capacity to function in the sciences and motivation to consider science as a college major and career. Findings from Likert survey items given before and after engaging in accessible hands-on science laboratories show that students who were blind or had low vision (BLV) were more likely to agree with the following items after engaging in accessible science experiences: 1) I plan on enrolling as a science major in college; 2) My educational experiences, so far, have given me the …

Using Ibl In A History Of Mathematics Course: A Skeptic’S Success, Michael E. Matthews, Angela M. Hodge

Journal of Humanistic Mathematics

A college professor, who is highly skeptical of change, but sensing a need for teaching in a more inspiring and engaging way, implements an inquiry-based learning (IBL) approach to teaching the history of mathematics. The first author (Matthews) worked with an experienced IBL colleague mentor (Hodge) on the course. Some student data was collected to document the effects of the class on the students. The approach taken for the course is described in detail including how the students of the course learned about and used IBL in key peer-to-peer teaching about historical mathematics (with a primary focus on the mathemat- …

The Evaluation Of Rhode Island Public High School Teachers: The Impact On Students, Stephen Lamontagne

Honors Projects in Mathematics

In 2012, the state of Rhode Island began the full implementation of a high-stakes teacher evaluation system. Its purpose is to increase teacher accountability and to improve student performance. However, a significant amount of literature casts doubt about the effectiveness and validity of teacher evaluation. This paper utilizes statistical methods including regression and decision trees in order to determine whether or not there is a relationship between teacher evaluation in Rhode Island and student performance, using RI Department of Education Data for each school from 2008-2015. Furthermore, this presentation investigates other factors that affect schools, to see if changes in …

What Concerns Are Secondary Mathematics Teachers Experiencing With The Implementation Of The Common Core State Standards For Mathematics And Is There A Relationship Between The Concerns And Professional Development Received?, Suzanne Therez Jennings

Dissertations

Using the Concerns Based Adoption Model (CBAM) as the theoretical framework, this mixed-methods study utilized three research methods, quantitative, profile interpretation, and qualitative to answer the research questions to investigate the concerns teachers were experiencing during the first year of implementing the Common Core State Standards for Mathematics (CCSSM) and to determine if professional development affected those concerns. The Stage of Concern questionnaire which included two open-ended questions was employed to survey 88 secondary Mississippi mathematics teachers. MANOVA was used to investigate any differences in the means of the relative levels of intensity present within the subgroups which are inconclusive. …

Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks

Walden Dissertations and Doctoral Studies

The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were collected …

Thinking It Through: Australian Students’ Skills In Creative Problem Solving, Lisa De Bortoli, Greg Macaskill

OECD Programme for International Student Assessment (PISA) Australia

In every PISA survey, students from every participating country are assessed in the core domains of mathematics, science and reading literacy. In addition to assessing these literacy domains, the OECD proposes additional assessments in other domains. In PISA 2003, a paper-based assessment of cross- disciplinary problem solving was first assessed, when it was included as a core domain. In PISA 2012, problem solving was once again assessed, this time as an optional computer-based assessment.

The focus of the PISA 2012 assessment of problem solving was: Are today’s 15-year-old students acquiring the problem-solving skills that will prepare them to meet the …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

Secondary Mathematics Teachers’ Literacy Professional Learning: An Amalgamation Of Adolescent Literacy, Mathematics Teaching, And Adult Learning, Janet L. Larson

Department of Teaching, Learning, and Teacher Education: Theses and Other Student Research

This study uses practitioner research to examine secondary mathematics teachers’ learning of literacy integration practices in the context of a district-wide literacy professional development series. The author, a secondary mathematics curriculum and instruction facilitator in a large, Midwestern suburban district, engaged in a two-year partnership with seventeen Mathematics Teacher Facilitators (MTFs) who taught literacy practices to their colleagues via a train-the-trainer model. This study provides an explicit rendering of professional development practices and ongoing, job-embedded learning vignettes of six MTF’s experiences in (a) teaching literacy practices to their colleagues and (b) how they learned and enacted these practices in their …

Upward Bound Math-Science At Umass Boston, Terri Slater

Office of Community Partnerships Posters

Upward Bound Math-Science (UBMS) strives to increase the number of low-income and first-generation college bound students who enroll in and complete higher education programs, majoring in mathematics, the sciences, and computer science. UBMS aims to increase the number who pursues advanced study in these fields. UBMS serves students enrolled in the six academies that comprise the Lawrence High School Complex.

Math Education At Its Prime?, Natalie Benet

Senior Honors Theses

Three main problems with current math education are negative mindsets toward math, the lagging comparison with advanced education in other countries, and ill-equipped teachers and school systems. The consequences of these problems have impacted math education by convincing students that they do not need to try at math, filling countless classrooms with ill-qualified teachers, and overall lowering the quality of U.S. math education compared to the education of rest of the world. In order to correct these problems and reverse the present and future consequences, the quality of math education must be increased. This can be done by changing the …

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William Robertson

Selected Works Temporary Series

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school …

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William Robertson

Departmental Papers (TE)

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school …

How Ipads Can Be Used In The Math Classroom To Improve Student Learning, Katie Ann Garrity Smieja

Mathematics Graduate Theses

This study explores how iPads can be used to enhance student learning in the math classroom. The author reviews current literature to determine how iPads are being used to facilitate communication, formative assessment, and promising practices in math education such as discovery learning and use of spreadsheets, graphing calculators, and manipulatives. Additionally, challenges and drawbacks to using iPads in the classroom are examined. Research supports the use of iPads to provide students access to digital content including online discussion boards and practice activities with instant feedback. iPads can also be used as student response systems to engage students in instruction …

Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …