Teacher Education and Professional Development Commons^™

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.

Infographic: Australian Achievement Trends In Timss, Australian Council For Educational Research (Acer)

Teacher infographics

Trends in International Mathematics and Science Study (TIMSS) measures how well Year 4 and Year 8 students from around the world are performing in science and mathematics. In this infographic we look at Australian student achievement over time.

Impact Of Concept-Based Mathematics Instructional Strategies On Seventh Grade Student Achievement, Katherine Annette Lawley Ellsworth

Doctoral Dissertations and Projects

In a nation with declining enrollment in college math courses, it is important to examine how mathematics is being taught in the K-12 education system and to identify best practices. The purpose of this study was to examine the impact concept-based instructional strategies has on middle school student achievement in mathematics when integrated into the traditional mathematics curriculum. Participants included 424 seventh grade students from two middle schools. Students Measures of Academic Progress (MAP) Fall-to-Winter data 2018 prior to implementation was used a covariate and Fall-to-Winter data 2019 data during the implementation of concept-based instructional strategies integrated into the traditional …

The Role Of Gender On The Associations Among Children’S Attitudes, Mathematics Knowledge, Digital Game Use, Perceptions Of Affordances, And Achievement, Kristy Litster, Christina W. Lommatsch, Josh R. Novak, Patricia S. Moyer-Packenham, Jill Ashby, Allison L. Roxburgh, Emma P. Bullock

Teacher Education and Leadership Faculty Publications

This study explored associations among children’s prior attitudes, prior mathematics knowledge, and frequency of digital game use, with children’s perceptions of game affordances, and transfer to out-of-game performance when interacting with digital math games, with respect to gender. Participants were 187 children (ages 8–12). An SEM mediation path analysis using MPLUS software showed significant direct effects for all pathways for all children, and significant indirect effects on all pathways for male children and five of six pathways for female children. More favorable attitudes, prior math knowledge, and perception of the helping affordances were associated with increased posttest performance, while increased …

Experiencing Active Mathematics Learning: Meeting The Expectations For Teaching And Learning In Mathematics Classrooms, Kristy Litster, Beth L. Macdonald, Jessica F. Shumway

Teacher Education and Leadership Faculty Publications

Active learning mathematics classrooms incorporate meaningful activities that emphasize reasoning, thinking and active interaction with mathematics. Current mathematics standards and curricula recommend that Mathematics Teacher Educators (MTEs) use elements of active learning in their mathematics content courses specifically designed for Prospective Teachers (PTs) as they prepare PTs to learn and teach mathematics. However, it can be very difficult for PTs to shift their pedagogical dispositions towards instruction associated with active learning because they typically have not experienced mathematics taught in this way. This article focuses on two instructional practices for MTEs to use with PTs. First, selecting tasks that promote …

Exploring The Phenomenon Of Distance In Children's Interactions With Touchscreen Digital Mathematics Games, Stephen I. Tucker, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

This study examines the construct of distance – the degree of difficulty of interacting with something – as part of activity involving children using touchscreen digital games to learn mathematics. Ten fifth-grade children engaged in video-recorded semi-structured task-based interviews in which they used two touchscreen digital mathematics games on a touchscreen tablet and responded to semi-structured follow-up questions. Qualitative data analysis was iterative, featuring analytic memoing and eclectic coding techniques to identify themes related to distance. In advanced coding stages, magnitude coding was used to characterize the degree of distance present. Findings provide evidence of the presence of distance, changes …

Preservice Teachers’ Strategies For Interpreting Fractions Represented In Discrete And Continuous Models, Victoria Webster

Transformations: Research Papers

Teaching and learning fractions have been a focus of research in mathematics education for decades. Current practices of teaching fractions emphasize the partitioning perspective, or part-whole, to conceptualize fractions. Another approach to teaching fractions is measurement. The part-whole approach limits students’ conceptualization of fractions and impedes learning improper fractions, whereas the measurement approach has the potential to overcome these difficulties and supports learning improper fractions. In this study, 55 preservice teachers engaged in an intervention to reexamine fractions using a measurement perspective. Before and after the intervention, the preservice teachers were asked to interpret proper and improper fractions using discrete …

The Common Core State Standards In Mathematics For Place Value: Developmentally Appropriate Or Not?, Sarah N. Hughey

Masters Theses

This exploratory case study examines the developmental appropriateness of the Common Core State Standards in Mathematics (CCSSM) for place value for second through fourth-grade students. A correlation analysis was performed on end of year scores from the 2018-19 school year on a standardized norm-referenced test and a conceptually-based interview assessment from the Math Recovery program (AVMR) on 137 students from one school in the Midwest. An item analysis was also performed on AVMR assessments for 70 students from the 2019-20 school year. The results showed that second and third-grade students did not display the expected amount of growth in conceptual …

A Case Study Exploring The Nature Of How Prekindergarten Teachers’ Mathematics Instruction Decisions Relate To Their Mathematics Pedagogical Content Knowledge, Raleta Summers Dawkins

Teaching & Learning Theses & Dissertations

The mathematics knowledge students develop in prekindergarten is key to their ability to make sense of more complex mathematics in the future (C. T. Cross, Woods, & Schweingruber, 2009; Ginsburg, Lee, & Boyd, 2008). Research continues to present evidence that there is a mathematics achievement gap between minoritized students living in lower socioeconomic communities compared to their peers before entering kindergarten (Arnold, Fisher, Doctroff, & Dobbs, 2002; Duncan et al., 2007; Sonnenschein & Galindo, 2015; Wang, 2010). The joint position statement issued by the National Association for the Education of Young Children and the National Council of Teachers of Mathematics …

The Influence Of Professional Development Methods On Student Mathematics Performance In New Jersey Public Elementary Schools, Xanthy Karamanos

Seton Hall University Dissertations and Theses (ETDs)

This quantitative study was developed to determine the influence of professional development methods on student academic performance in elementary mathematics. The study also reviews the relationship between content that was delivered in professional development programs and student performance. Additionally, the research analyzes the difference in student math performance when professional development decisions are made by administrators versus a mixed group of stakeholders. An online survey was conducted to collect data from district- and school-level administrators in New Jersey public school districts that serve elementary students from grades three to six. The study includes representation from 11.4% of public school districts …

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 …

First Grade Educators' Perceptions Of Their Confidence To Integrate The West Virginia Mathematical Habits Of Mind Into Classroom Practices, Monica Lynn Dellamea

Theses, Dissertations and Capstones

Mathematical proficiency during the early years is directly linked to later success in life, both regarding academics and economics. First grade educators must have the knowledge and skills to integrate the West Virginia Mathematical Habits of Mind (WV MHM) into their existing classroom instructional practices to help establish strong foundations for mathematical learning and thinking early on in children’s lives. This study investigated first grade educators’ perceptions of their confidence with integration of the WV MHM into their classroom instructional practices. Barriers to and supports for implementation, as well as educator demographics, were examined to determine any effect they may …

Using A Faculty Learning Community To Promote Interdisciplinary Course Reform, Rhonda Bishop, Victor Piercey, Mischelle Stone

Journal of Mathematics and Science: Collaborative Explorations

As part of a multi-institution, National Science Foundation (NSF) grant-funded project, Ferris State University (FSU) joins a national effort to reform mathematics curricula. Researchers from FSU developed and facilitated a faculty learning community (FLC) as one strategy to redesign the traditional approach to the quantitative reasoning skill development of students in the departments of mathematics, nursing, social work, and the College of Business. Over the course of one academic year, the FLC provided an interdisciplinary faculty connection to develop pedagogical approaches that integrated cross-curricular concepts and context from each discipline. The FLC not only produced uniquely designed, learning-centered approaches to …

Good Teachers Borrow, Great Teachers Steal: A Case Study In Borrowing For A Teaching Project, Mike May, Rebecca Segal, Victor Piercey, Tao Chen

Journal of Mathematics and Science: Collaborative Explorations

Very few great ideas in teaching are without ancestors or descendants. This paper presents a case study in how one particular pedagogical project, the work at Saint Louis University as part of the National Science Foundation supported SUMMIT-P consortium, borrowed from other sources. The particular project was an interdisciplinary collaboration to make mathematics education more effective for business students. The various borrowings are treated in roughly chronological order from initial inspiration through planned adoption and adaptation of the work of others to the addition of features that only became available mid-project. The kinds of sources include a particular business calculus …

Curricular Change In Institutional Context: A Profile Of The Summit-P Institutions, Mary D.R. Beisiegel, Suzanne I. Dorée

Journal of Mathematics and Science: Collaborative Explorations

There is a national call to improve the mathematics curricula in the first two undergraduate years to improve student success and engagement. But curricular change happens in an institutional context: Who are the students, and what do they need to succeed? What is the climate for change? Does the department regularly revise its courses and curriculum? Is it common for different departments to collaborate on curricular change? What supports or obstacles does the department, college, or university have for changing the curriculum? Who are the institutional stakeholders, and what practices build their buy-in? In the SUMMIT-P project, nine different institutions …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

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Course Portfolio For Math 309: Introduction To Mathematical Proofs - A Peer Review Of Teaching Project Benchmark Portfolio, Josh Brummer

UNL Faculty Course Portfolios

In this course portfolio, I examine dimensions of an active learning curriculum developed for a sophomore-level undergraduate course serving as an introduction to mathematical proofs. Prominent course goals include developing effective practices for communicating mathematics using formal language, learning to read, comprehend, and evaluate the validity of mathematical proofs, and practicing to write rigorous and concise mathematical proofs. I explore a new piece of collaborative annotation software called Perusall to help students read and understand mathematics together, and I analyze mastery level grading scales across exams throughout the semester. The portfolio also contains information about the structure and syllabus for …

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 …

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 …

Characteristics Of Critical Friendship That Transform Professional Identity, Signe E. Kastberg, Melva R. Grant

Teaching & Learning Faculty Publications

We met at CASTLE 2018, two trained mathematics teacher educators (MTEs), interested in mathematics, and teaching elementary mathematics methods to preservice teachers (PTs). Melva’s self-study research, focused on improving her online methods course, was approaching its second year and her second critical friend had lost interest in continuing. Melva invited Signe to be her critical friend (Schuck & Russell, 2005) and Signe agreed. Explicit expectations of our critical friendship included weekly meetings. Our critical friendship seemed to follow an expected trajectory for, “supporting/coaching the transformation of another’s teaching” (Stolle, et al., 2019, p. 20). However, there were implicit ways our …

Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland

Current Issues in Middle Level Education

Response to Intervention (RtI) has become a common support system for students; yet, no universal RtI model exists, especially for mathematics and specifically at the middle school level. This article focuses on a specific model for delivering Tier 2 mathematics supports and services at the middle school level: math labs. Evidence–based and research–supported interventions are discussed that support the delivery of Tier 2 services within a middle school math lab RtI structure. A fictionalized vignette, drawing from multiple actual cases, is presented to highlight the use of a Tier 2 math lab within a middle school setting.

The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch

Theses and Dissertations

Student motivation in mathematics education can be affected by many variables, especially for at-risk students. Existing information is limited regarding teacher perceptions of their own pedagogy, instructional strategies, and at-risk student motivation in the area of mathematics for middle school and high school students. The purpose of this study was to analyze middle school and high school mathematics teachers’ perceptions of their own pedagogy, instructional strategies, and at-risk students’ motivation in mathematics. Deci and Ryan’s self-determination theory was the theoretical framework used to guide the current study, which focuses on psychological and instinctive needs of individuals. An explanatory, sequential mixed …

Elementary School Student Development Of Stem Attitudes And Perceived Learning In A Stem Integrated Robotics Curriculum, Yu-Hui Ching, Dazhi Yang, Sasha Wang, Youngkyun Baek, Steve Swanson, Bhaskar Chittoori

Educational Technology Faculty Publications and Presentations

Robotics has been advocated as an emerging approach to engaging K-12 students in learning science, technology, engineering, and mathematics (STEM). This study examined the impacts of a project-based STEM integrated robotics curriculum on elementary school students’ attitudes toward STEM and perceived learning in an afterschool setting. Three elementary school teachers and 18 fourth to sixth graders participated in an eight-week-long program. Quantitative and qualitative data were collected and analyzed, and showed students’ attitudes toward math improved significantly at the end of the robotics curriculum. Three specific areas of learning were identified, including STEM content learning and connection, engagement and perseverance, …

The Principal’S Impact On The Success Of Mathematics Professional Development, Michael Chad Staheli

Theses and Dissertations

Principal involvement is recognized as a key component to success in professional development implementation. Both the principal efforts undertaken, and the visions stated influence teacher development and student achievement. Using the instructional, transformational, and learning-centered models of leadership, as well as frameworks in vision, and organizational theory, this research sought to clarify the impact of principal involvement on student performance. Interview data was collected from 16 principals participating in a mathematics professional development program entitled the Comprehensive Mathematics Initiative. Of the participants, 9 of the principals were from schools that achieved high levels of student performance on standardized mathematics tests …

Departmentalization For Mathematics: Is It Beneficial For Teachers, Students, And Teacher Candidates?, Melinda S. Eichhorn, Courtney Lacson

Journal of Educational Research and Practice

Studies have shown that both the departmentalized and self-contained models of instruction can help students achieve strong mathematics scores on standardized tests, and school administrators must consider their teachers and students when deciding on an instructional model. However, little research has considered the effect of the instructional model on initial license teacher candidates and school–university partnerships. Drawing from a Massachusetts college’s experience with practicum placements for elementary candidates pursing a generalist license (Grades 1–6), implications for teacher preparation programs are explored as more upper elementary classrooms move to a departmentalized model for mathematics.

An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart

Teacher Education and Leadership Faculty Publications

This study examined the influence of mathematics course-taking on Latina/o science, technology, engineering, and mathematics (STEM) major persistence utilizing data from first-year STEM majors at a Hispanic-Serving Institution (HSI). Findings indicated that students who passed a first-term college-level mathematics course had significantly greater odds of persisting in STEM majors than those who did not, demonstrating the importance of early mathematics support to increased STEM major persistence.

Developing An Explicit Instruction Special Education Teacher Observation Rubric, Evelyn S. Johnson, Yuzhu Zheng, Angela R. Crawford, Laura A. Moylan

Early and Special Education Faculty Publications and Presentations

In this study, we developed an Explicit Instruction special education teacher observation rubric that details the elements of explicit instruction, and tested its psychometric properties using many-faceted Rasch measurement (MFRM). Video observations of classroom instruction from 30 special education teachers across three states were collected. External raters (n = 15) were trained to observe and evaluate instruction using the rubric, and assigned scores of ‘implemented’, ‘partially implemented’ or ‘not implemented’ for each of the items. Analyses showed that the item, teacher, lesson and rater facets achieved high psychometric quality for the instrument. Implications for research and practice are discussed.

Principles Of Engineering, Edu 4480, Course Outline, Euisuk Sung

Open Educational Resources

This course is a laboratory-based capstone course providing resources about engineering and engineering design methodology to enable the student teacher to study the relationship among mathematics, science and engineering. Focus is on the integration of the content of these disciplines into the secondary school technology curriculum and to stimulate student interest in pursuing engineering and technology careers.

District-University Collaborations To Support Reform-Based Mathematics Curriculum Implementation, Kelly Gomez Johnson, Amy L. Nebesniak, Theodore J. Rupnow

Teacher Education Faculty Publications

Curriculum change is inevitable in schooling. For content areas such as mathematics that are already under the national spotlight, transitioning to new curriculum materials while concurrently enacting instructional reform creates both a challenge and an opportunity. This paper discusses how partnerships between two state universities and respective neighboring school districts resulted in the creation and implementation of graduate courses for teachers targeted at curricular and instructional reform specific to each district. Common course components between both university-district partnerships were identified in the areas of mathematics research, practice, and leadership advocacy and found to be instrumental in supporting instructional reform and …

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 …