Education 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 …

Gaining Insight Into The Development Of Mathematics Teacher Leaders In Primary Grades: A Multi-Case Study, Susan Katt

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

Teacher leaders have the potential to influence improved instructional practice for mathematics within elementary schools and thereby student performance. Lamentably, an insufficient number of elementary classroom teachers, specifically those who teach kindergarten, first, and second grades, participate actively in a teacher leader role, which positively impacts teaching and learning mathematics. Therefore, an examination of how professional development plays a role in cultivating new teacher leaders proves to be critical.

In this qualitative multi-case study, I examined a structured professional development opportunity for K–2 teachers designed to promote their leadership. All participants were full-time classroom teachers within an urban, Midwestern public …

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 …

Examining The Specialized Math Content Knowledge Of Elementary Teachers In The Age Of The Common Core, Stephanie Purington

Doctoral Dissertations

Mathematical standards for students have increased with the development of the Common Core State Standards for Mathematics and its accompanying high stakes testing. Teachers need strong conceptual knowledge of the mathematics they teach in order to give students the opportunity to learn that math deeply. An earlier study (Ma, 1999) found that US elementary teachers lack the deep knowledge to teach math conceptually. Given the mathematics standards movements of the last two decades, it is plausible that the knowledge base of teachers has changed. Using the framework of Specialized Content Knowledge (SCK), which is the knowledge required to teach math …

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 …

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 …

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 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 …

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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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 …

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 …

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 …

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

Graduate Theses, Dissertations, and Problem Reports

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

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