Teacher Education and Professional Development Commons^™

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 Masters Of Physics: Critical Thinking Through Skateboarding, William Robertson

Selected Works Temporary Series

This paper focuses on the use of live action and video instruction as a method of content dissemination and to motivate students in learning in science, technology, engineering and mathematics (STEM) education. Specifically, this area, dubbed “edutainment”, chronicles different interactions with students, teachers and community members that utilized live action to video as methods of capturing relevant content in student-centered contexts. The fundamental idea is to infuse one's passion into modern methods of teaching, and to inspire others to use their gifts in their education, and thereby connect them to their dreams and aspirations.

Teachers' Perceptions About Instructing Underachieving K-5 Students On Mathematical Word Problem-Solving, Crystal Yvette Baldwindouglas

Walden Dissertations and Doctoral Studies

The state of Maryland has implemented the Common Core State Standards for Mathematics (CCSSM) operations & algebraic thinking and number & operations-fractions with emphasis on students in Grades K-5 acquiring the ability to solve word problems for state and curriculum math assessments. However, since the implementation of CCSSM, 30% of elementary students in a Maryland school district have demonstrated underachievement (basic or below basic level) on problem-solving sections of the state and school standardized tests. This qualitative case study, guided by Polya's model of the four phases of mathematical problem-solving, was conducted to address this problem. The research questions addressed …

The Interview Project: A Way Of Bridging Theory And Practice In Early Childhood Mathematics Preservice Teacher Education, Doris Santarone

Georgia Educational Researcher

Twenty-nine early childhood preservice teachers (PSTs) participated in an Interview Project. The project’s goals were for the PSTs to apply their knowledge of research on children’s mathematics in their interactions with a child and to learn to listen to and learn from children. The purpose of the study was to evaluate the project and determine whether it met these goals. Pre and post data were collected, and I found that the PSTs showed a significant improvement in their ability to describe and analyze a child’s mathematics and to use their listening to make appropriate instructional decisions. In addition, I found …

Teacher Beliefs About Providing Instruction For Gifted Students In Inclusive Mathematics Classrooms, Carrie Lynn Kizuka

Walden Dissertations and Doctoral Studies

Kindergarten - Grade 12 (K-12) students identified as gifted in mathematics in the United States are not being appropriately challenged. Teachers are the most important school-related factor that contributes to student success; however, researchers have not explored the experiences of teachers who work with gifted students in inclusive mathematics classrooms. The purpose of this qualitative, transcendental phenomenological study was to explore the lived experiences of K-12 teachers who provide instruction for gifted students in inclusive mathematics classrooms. Bandura's social cognitive theory framed the study. Interview data were collected from 12 teachers who provide mathematics instruction for gifted students in inclusive …

Teachers' Perceptions Of The Sustainability Of Mathematics And Science Partnership Professional Development, Robert Harold Alt

Walden Dissertations and Doctoral Studies

The sustainability of improved pedagogy gained through professional development (PD) of mathematics teachers has undergone little empirical study. In a midsized urban school district in the Northeastern United States, all high school mathematics teachers attended a 3-year mandatory PD program. Although an external evaluator studied this program immediately after completion, there had been no longitudinal study of the perceptions of its participants regarding the sustained benefits of the program. This qualitative study offered a follow-up study of the participants in the Math and Science Partnership (MSP) PD program to provide insight to administrators regarding the sustainability of benefits gained through …

The Masters Of Physics: Critical Thinking Through Skateboarding, William Robertson

Departmental Papers (TE)

This paper focuses on the use of live action and video instruction as a method of content dissemination and to motivate students in learning in science, technology, engineering and mathematics (STEM) education.  Specifically, this area, dubbed “edutainment”, chronicles different interactions with students, teachers and community members that utilized live action to video as methods of capturing relevant content in student-centered contexts. The fundamental idea is to infuse one's passion into modern methods of teaching, and to inspire others to use their gifts in their education, and thereby connect them to their dreams and aspirations.

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 …

Course Portfolio For Math 872: Topology Ii, Alex Zupan

UNL Faculty Course Portfolios

In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …

Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez

UNL Faculty Course Portfolios

My intention with this portfolio is to present my approach to teaching Math 314. This is a linear algebra course for senior-year undergraduate students in different STEM programs. The course serves as a transition from computational courses, such as calculus, to more theoretical ones, and exposes students, possibly for the first time, to abstract mathematical objects (such as general vector spaces) and simple proofs. Several lecture-based strategies are discussed and evaluated in connection with student learning outcomes. I also present samples of course materials and student work.

Middle School Mathematics Teachers' Perceptions Of Opportunities And Challenges, Shelby Eversole

Masters Theses

This study investigates the perspectives of opportunities and challenges of middle school mathematics’ teachers. To gain these perspectives, an ethnographic study was conducted by interviewing four middle school mathematics teachers in central Illinois. The results of this study imply that teachers of different backgrounds and teaching environments have varying perspectives about challenges and opportunities in the classroom. Limitations of this study include but are not limited to, the researcher having one year to conduct the research, only four teachers from two schools being interviewed, interviewees teaching different grade levels, no rural setting involvement, one educator having little teaching experience, teachers’ …

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 …

A Case Study On How Meeting The Academic Needs Of Students Substantially Below Grade Level In Mathematics Affects Their Self-Efficacy Beliefs And Engagement, Lauren K. M. Burton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This researcher examined an alternative classroom structure for ninth-grade students substantially below grade level (SBGL) in mathematics. This researcher considered whether targeting the academic and social needs of students SBGL in mathematics in a ninth-grade class would increase their self-efficacy and engagement with the mathematics by studying four teaching effects: teacher, teacher-curriculum, peer-curriculum, and peer.

The researcher used interviews, observations, and surveys to collect qualitative and quantitative data. The case study (n = 19) employed a QUAL + quan convergent parallel mixed methods case study. Meta-inferences from the analyses of qualitative and quantitative data indicate that the structure of …

Learning To Look, Looking To Learn, Karen Rothschild, Marvin Cohen, Babette Babette Moeller, Barbara Dubitsky, Nesta Marshall, Matt Mcleod

All Faculty and Staff Papers and Presentations

In order to plan and implement lessons that will be effective for a wide variety of learners, teachers must assess what students know and how they know it. They must also know students’ academic strengths, challenges, and preferences. Careful observation of what students do and say as they work provides a rich source of data about both their knowledge and ways of learning. We highlight three strategies we use to help teachers refine their understanding of individual students:

(a) building teachers’ skills in observing without making judgements; (b) teaching teachers to use a shared, neurodevelopmental framework through which to view …

Technological Resources Versus Non-Technological Resources, Samantha Sapa

Dissertations, Theses, and Projects

The purpose of this study is to help show that using technology as an instructional strategy will benefit students’ knowledge on certain concepts. Improving focus and engagement will lead to increased knowledge of students. This study’s participants included ten randomly selected second-graders. They focused on the concept of 2-dimensional and 3-dimensional shapes. At the beginning of this study, they were given a pre-assessment (see Appendix A) to show their current knowledge. When this study was completed, a post-assessment (see Appendix B) was given. Comparing the results of these two assessments helped to show that using technology, during teacher-led instruction, benefited …

Teacher Factors And The Impact On Student Success In Algebra I, Kalee Mcmullen

Doctoral Dissertations and Projects

Algebra I proficiency is an important aspect of a solid foundation in mathematics. Teachers play a critical role in the failure or success of students. Different teacher characteristics are thought to have a significant impact on the potential for student success. This non-experimental correlational research study seeks to examine the potential relationships between specific teacher characteristics and student success in Algebra I as measured by the Algebra I End of Course Exam scores. This study uses ordinary least squares regression analysis to examine the effects of independent variables on successful Algebra I scores. The independent variables in this study include …

Developing A Multi-Dimensional Early Elementary Mathematics Screener And Diagnostic Tool: The Primary Mathematics Assessment, Jonathan L. Brendefur, Evelyn S. Johnson, Keith W. Thiede, Sam Strother, Herbert H. Severson

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

There is a critical need to identify primary level students experiencing difficulties in mathematics to provide immediate and targeted instruction that remediates their deficits. However, most early math screening instruments focus only on the concept of number, resulting in inadequate and incomplete information for teachers to design intervention efforts. We propose a mathematics assessment that screens and provides diagnostic information in six domains that are important to building a strong foundation in mathematics. This article describes the conceptual framework and psychometric qualities of a web-based assessment tool, the Primary Math Assessment (PMA). The PMA includes a screener to identify students …

Methodological Aspects Of The Development Of Information Processing Competence Of Students In Mathematics Lessons, Nigora Shuxratovna Ro'zikulova

Central Asian Journal of Education

The article develops methodological recommendations on the organization of the process of formation of the base competency of working with information in mathematics lessons on the basis of such an approach as working with information in the process of independent life activity.

Bricklayer: Elementary Students Learn Math Through Programming And Art, Michelle Friend

Teacher Education Faculty Proceedings & Presentations

As computer science becomes more prevalent in the K-12 world, elementary schools are increasingly adopting computing curricula. Computer scientists have recognized the connection between math and computer science, but little work has demonstrated how and whether computer science can support improved learning in math. This paper reports on a project in which elementary students in a gifted program used Bricklayer, a functional programming environment that supports artistic and mathematical expression. A pre- and post-test design demonstrates significant learning gains in coordinate graphing and visual-spatial skills.

Summer Learning Loss And Summer Programming: How To Build A Cohesive Mathematics Education, Jill Osborne

All Electronic Theses and Dissertations

Students across the world are learning at an incredible rate. By the end of each academic school year, most students have amassed a large amount of knowledge. But what happens to that knowledge over the summer? Research shows that most students make no academic gains over the summer; some even regress in their content knowledge. In order to build a cohesive education across academic school years, research has shown that attending a summer academic program may help. Students that attend a summer learning program may be more successful the next academic year, which in turn builds to a greater overall …

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 …

Elementary Teachers' Affective Relationship With Mathematics And Its Influence On Mathematics Instruction, Kelly Kreitzer Sutton

Walden Dissertations and Doctoral Studies

In a South Carolina school district, approximately 45% of 3rd-5th grade students performed poorly on the state mathematics test. K-5 teachers attended district training to improve mathematics instruction and content mastery, but the training omitted teachers' affective domain in teaching. Teachers' affective relationships with mathematics (ARM) affects content delivery, instructional decisions, and teachers' confidence levels and motivation. The purpose of this sequential mixed methods study was to investigate whether teachers' years of experience, grade levels taught, or past mathematics experiences influenced K-5 teachers' ARM, as measured by the ARM survey, and to explore teachers' perceptions of their ARM in instruction. …

Perceptions Of Faculty Using Mymathlab In Traditional, In-Seat Math Classes, Kathleen Gromilovitz

Walden Dissertations and Doctoral Studies

MyMathLab, an online interactive and educational system by Pearson Publisher, was implemented in 2 lower-level, traditional in-seat algebra courses to provide supplemental, instructional support to students in the fall of 2015 at the college under study. After the first year of use, no significant change in student success was reported, although more students passed intermediate algebra without first taking elementary algebra. The problem addressed in this study was that student results suggested there might be benefits to using MyMathLab that should be investigated. Knowles' theory of andragogy was used in this qualitative case study to gather perceptions of 7 2016-2017 …

Beyond Teacher Knowledge: Connections Between Content Knowledge, Mindset For Learning, And Teaching In Two-Year College Mathematics Faculty, Lucy Hernandez Michal

Open Access Theses & Dissertations

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach mathematics effectively to students. The three-part study measured the mindset learning profile and content knowledge of a sample of mathematics faculty at a two-year college. The quantitative and qualitative data provided references to select four faculty typologies to interview and observe. Interviews reflected faculty perceptions of teaching and learning. Class observations captured images of …

Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu

UNL Faculty Course Portfolios

My intention in this portfolio is to present my approach to teaching an upper-level mathematics course for pre-service secondary level mathematics teachers. Several teaching strategies are discussed in the context of designing a coherent approach to this course, which emphasizes the need for conceptual reasoning above all other goals. These strategies are evaluated and assessed in connection to the learning outcomes using samples of student work from the course.

Also presented are samples of course materials that were used to lead students through an organized discussion of the relevant concepts. These materials convey some basic mathematical knowledge and therefore may …

Descriptions Of Differentiated Instruction In Mathematics In A Title 1 School District, Sheril Bulley-Simpson

Walden Dissertations and Doctoral Studies

In an urban Title 1 school district, the average number of Grade 3-5 students who scored proficient or advanced on the state standardized assessment was 37.3% below Grade 3-5 students countywide and 19.4% below Grade 3-5 students statewide. Low mathematics scores may indicate a gap in practice that affects student achievement. The purpose of this descriptive case study was to examine teachers' descriptions of instructional strategies implemented to mediate instruction for students who struggle in mathematics. This study was based on the conceptual framework of Tomlinson's differentiated instruction (DI), a means of accommodating the varied ways that students learn. The …

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 …

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 …

Assessing Teacher Attentiveness To Student Mathematical Thinking: Validity Claims And Evidence, Michele B. Carney, Laurie Cavey, Gwyneth Hughes

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

This article illustrates an argument-based approach to presenting validity evidence for assessment items intended to measure a complex construct. Our focus is developing a measure of teachers’ ability to analyze and respond to students’ mathematical thinking for the purpose of program evaluation. Our validity argument consists of claims addressing connections between our item-development process and the theoretical model for the construct we are trying to measure: attentiveness. Evidence derived from theoretical arguments in conjunction with our multiphased item-development process is used to support the claims, including psychometric evidence of Rasch model fit and category ordering. Taken collectively, the evidence provides …

A Qualitative Content Analysis Of Early Algebra Education Ios Apps For Primary Children, Lissa S. Ledbetter

USF Tampa Graduate Theses and Dissertations

Educational software applications (apps) on multi-touch, mobile devices provide a promising space to help learners work toward long-term educational goals, like learning with understanding (Bransford, Brown, & Cocking, 2000). Such goals are particularly relevant in supporting a learner’s efforts to become more mathematically literate. Yet, a number of current apps do not appear to be living up to this potential. As such, this study drew upon the theoretical framework of Learning Science and the conceptual framework of TPACK theory (Mishra & Koehler, 2006) to define curricular characteristics that ideally support primary children’s potential to learn early algebra concepts with understanding, …