Teacher Education and Professional Development Commons^™

Creative Learning With Music And Mathematics: Reflections On Interdisciplinary Collaborations, Graham Johnson, Alesia M. Moldavan

The Transdisciplinary STEAM+ Journal

Culturally responsive content, accessible and inclusive tools, and meaningful interdisciplinary tasks can aid in developing equitable and creative learning environments. Music and mathematics are ideal disciplines for interdisciplinary creative learning. In this article, we reflect on our experiences engaging in interdisciplinary music and mathematics tasks with preservice teachers. In particular, we highlight specific efforts taken to design and implement a creative music and mathematics workshop for use in a mathematics methods course. Guided by these experiences, we offer examples of tools and practices that have helped preservice teachers collaborate, engage in inquiry, improvise, develop empathy, and take intellectual and social …

Using Music To Teach Math In Middle School, James D. Walsh, Bridget K. Coleman

South Carolina Association for Middle Level Education Journal

Music is an effective tool to use in the middle school classroom. Music is engaging, makes learning memorable, and can help relieve anxiety. Music can be connected to math in many different ways. Lyrics, melodies, and movement can be used to enhance learning. Students can learn the quadratic formula song to help with procedural memory; they can identify fractions in musical composition and notation; and they can write class songs to help retain information.

Arts-Based Interdisciplinary Music And Mathematics Tasks: Exploring Conceptualizations Of Equitable Creative Learning In Teacher Education, Alesia Mickle Moldavan, Graham Johnson

Georgia Educational Researcher

Preservice teachers need opportunities in teacher education courses to explore arts-based interdisciplinary learning that can inspire connections between communities of practice and allow learners to integrate concepts and imagine creative possibilities. This study reports on preservice teachers engaged in a workshop on arts-based interdisciplinary music and mathematics tasks. Data included surveys, task-related artifacts, and participant observations to examine how preservice teachers conceptualize and engage in such tasks. Three resonating themes were identified, revealing that preservice teachers generally thought (a) music and mathematics are more engaging and relatable in interdisciplinary contexts than when taught alone, (b) interdisciplinary music and mathematics tasks …

Using Cooperative Learning To Teach Mathematics To Help Promising Ell And All Students Develop Social Skills: A Case Study, Dr Joseph M. Furner

Transformations

This paper shares the story of Jung and how a gifted young student in mathematics learns social skills and shares knowledge and also helps to improve his own learning of the English language while sharing his understanding of mathematics with others. Students working together in math classrooms all benefit in many ways including language acquisition, problem solving, math achievement, social skills, cultural differences, and a shared sense of community in a classroom, when all working together for a goal in learning mathematics while also learning social skills so to fit in better within society. Cooperative learning plays a critical role …

The Students’ Mathematics Learning Difficulties Analysis, Wahyu Purwaningsih, Haryanto Haryanto

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

This study aims to describe, interpret, and analyze the PGSD UPY students’ difficulties in learning mathematics 2. The research type is a descriptive qualitative research. The research subjects are students and a mathematics lecturer of PGSD UPY. The data were gathered through interviews, observations, documentations, and tests. The data validity test was done by using triangulation of sources and techniques. Proprietary interactive analysis models (Miles, Huberman, & Saldana, 2014) were used to analyzed the data. The results show that there are some difficulties experienced by students in learning numberic system especially for fractions. The pretest and post test results show …

Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway

Publications

In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.

Problem Solving Like A Mathematician: Disciplinary Literacy Instruction In Elementary Mathematics, Charlotte Frambaugh-Kritzer, Stephanie Buelow

Reading Horizons: A Journal of Literacy and Language Arts

This study aims to grow the literature by examining the how of disciplinary literacies (DL) elementary mathematics instructional practices in teacher education, which is under-reported. Using qualitative case study methods, we examined how one cohort of elementary preservice teachers (PTs) enacted the DL instructional practices in their field practicum K–6 classrooms. Using a social constructivism perspective, we combined directed content analysis with real-time dialogue and the writing process as analytical tools to examine our data. Data sources included observation notes from the mathematics methods course, observation notes from the field practicum, and multiple artifacts (e.g., post observation oral and written …

Delivering On A Promise: A Longitudinal Cohort Study Of Emergent Bilinguals' Academic Achievement In A Utah Dual Language Program, J. Eric Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Emergent bilingual (EB) students are a growing population in the U.S. school system currently comprising over 10% of the total population. U.S. school districts have educated EB students using a myriad of practices, including dual language immersion (DLI). Many studies have looked at the academic achievement of native-Spanish speaking EB students, yet there is a dearth of research on DLI in medium-sized school districts in rural settings. This study focused on native-Spanish speaking EB students in a DLI program in a rural Utah district. Specifically, the study compared student academic achievement in English acquisition, English language arts, mathematics, and grade …

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., …

Connecting The “Real-World” To The Math Classroom: Implementing Professional Development For Mathematical Modeling, Rejoice Akapame

Northwest Journal of Teacher Education

This qualitative research study focused on the changes in classroom pedagogy and content of rural mathematics teachers who engaged in a year-long professional development project focused on mathematical modeling. During a 2-week summer institute, teachers solved mathematical modeling problems as learners and then went through an iterative design process of creating, testing and refining lessons for classroom implementation. The lessons were implemented during the academic year. Results of this study indicate that teachers developed a willingness to move from traditional lecture and replication as the main form of pedagogy. Instead they incorporated more group tasks, alternate assessments, and created their …

Efficient Assessment Of Students’ Proportional Reasoning, Michele Carney, Katie Paulding, Joe Champion

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Teachers need ways to efficiently assess students’ cognitive understanding. One promising approach involves easily adapted and administered item types that yield quantitative scores that can be interpreted in terms of whether or not students likely possess key understandings. This study illustrates an approach to analyzing response process validity evidence from item types for assessing two important aspects of proportional reasoning. Data include results from an interview protocol used with 33 middle school students to compare their responses to prototypical item types to their conceptions of composed unit and multiplicative comparison. The findings provide validity evidence in support of the score …

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.

A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline Maher-Boulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones

Journal of Mathematics and Science: Collaborative Explorations

As a result of the Curriculum Foundations Project and the SUMMIT-P consortium, faculty from four different departments at Lee University created a Faculty Learning Community (FLC) with the goal of improving students’ attitudes toward undergraduate mathematics courses, including students’ perception of the utility of mathematics in their lives and the feelings of anxiety that they experience in these courses. The interdisciplinary collaborations resulted in introducing novel activities and manipulatives in various mathematics courses (Introduction to Statistics, Concepts of Mathematics I and II, and Algebra for Calculus). This paper first describes the efforts of creating the inter-departmental FLC. Second, it discusses …

Investigating Discussion Forum Impact On Students’ Social Justice Beliefs In Online Undergraduate Mathematics Courses: A Mixed Methods Study, Ashlee Lynn Akin Matney

Theses and Dissertations--Education Sciences

While teaching math for social justice and equity has become a heavily researched topic in recent decades with Jo Boaler (2008, 2015, 2016), Rochelle Gutiérrez (2009, 2013), and Eric (Rico) Gutstein (2003, 2006, 2007, 2013) emerging as recent leaders in the charge, the focus has consistently remained on traditional classroom teaching (e.g. Boaler, 2008; Gutiérrez, 2009; Gutstein, 2003). This convergent design mixed methods study investigated the impact of teaching math for social justice in the online learning environment, specifically, the impact of discussion forums on students’ social justice beliefs in fully online undergraduate math courses.

Quantitatively, 56 students completed pre- …

Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry

Journal of Mathematics and Science: Collaborative Explorations

Through the national consortium, SUMMIT-P, Ferris State University faculty collaborated to develop and scaffold mathematics and quantitative reasoning across disciplines to reduce math anxiety. Participants in this collaborative group included faculty from social work, nursing, and mathematics who developed a case study on a Hurricane Katrina scenario that necessitated calculating the need for emergency shelter, water, food, and medicine, and as a response to the potential for a Malaria outbreak. This particular case study allowed faculty to use the lens of social justice to teach mathematical concepts and provided an avenue for nursing and social work students to engage in …

Connecting Weirdness And Wonder To Mathematics, Elizabeth Basile, Deborah H. Mcmurtrie, Bridget K. Coleman

South Carolina Association for Middle Level Education Journal

Middle school students are weird and wonderful. Why not bring some of that weirdness and wonder into the mathematics classroom? Effective teachers of mathematics can create a culture of engagement, curiosity, and collaboration in mathematics instruction by presenting “weird” problems (as opposed to word problems) and giving students opportunities to explore their wonderings. Inspired by “the bizarreness effect,” the problems presented here are infused with humor and designed to intrigue young adolescents.

Elementary Teachers’ Perspectives Of Direct Instruction With More Rigorous Mathematics Standards, Sharon Denise Taylor

Walden Dissertations and Doctoral Studies

AbstractMajestic County Schools (pseudonym), a large southeastern school district, has implemented changes in instruction to align with more rigorous state and national mathematics standards. The rigor of the new standards has led to changes in instruction to help students master the standards with evidence from the state-wide standardized test. Although the district has made curricular changes, over one-third of the students in Grades 3-5 at Flint Elementary are not mastering grade-level standards. This basic qualitative study focuses on one elementary school within the district. The purpose was to understand how teachers implement direct instruction (DI) strategies in the classroom to …

Integrating Mathematics, Science, And Literacy Into A Culturally Responsive Stem After-School Program, Shelli L. Casler-Failing, Alma D. Stevenson, Beverly A. King Miller

Current Issues in Middle Level Education

This manuscript shares the implementation of an after-school literacy in STEM (science, technology, engineering, and mathematics) program designed for middle grade students to increase their interest in science and mathematics learning. This program was conducted at our local Boys and Girls Club facilities where students learned about four science topics (renewable energy, water cycle, Newton’s laws, and natural disasters). Students participated in culturally responsive reading and writing activities incorporating culturally relevant books, journal writing, hands-on projects, and a culminating science fair presentation on a topic of their choice. The authors determined that using literature, particularly culturally responsive picture books and …

Supporting Teaching And Learning Reform In College Mathematics: Finding Value In Communities Of Practice, Kelly Gomez Johnson, Paula M. Jakopovic, Christine Von Renesse

Teacher Education Faculty Publications

Improving college STEM (science, technology, engineering, mathematics) student learning outcomes is an ongoing area of focus in Institutions of Higher Education (IHE). This reform includes challenging, changing, and adapting both teaching practices and the learning environment. Communities of practice (CoPs) can support faculty in making these shifts; however, creating large-scale instructional changes in STEM education requires a more careful look at the existing systems and structures in place. In this paper, we investigate a network of regional CoPs composed mainly of mathematics faculty from IHE focused on teaching with inquiry methods. Understanding what faculty need and value to support their …

Improving Teaching Mathematics Using Communicative Competence In Primary Education, Jasur Amirddinovich Mardonkulov Researcher

Central Asian Journal of Education

Human society is unthinkable outside of communication. Communication is a necessary condition for the existence of people, without which it is impossible to fully form not only individual mental functions, processes and properties of a person, but also the personality as a whole. The reality and necessity of communication is determined by joint activity: in order to live, people are forced to interact. Always an active person communicates, whose activities intersect with the activities of other people. Communication allows you to organize social activities and enrich it with new connections and relationships between people.

Pre-Service High School Mathematics Teachers’ Perceptions About Mathematics And Mathematics Teachers: A Metaphorical Approach, Yasemin Katranci, Busra Kiral, Diler Kedikli

University of South Florida (USF) M3 Publishing

This study aimed to examine the perceptions of pre-service high school mathematics teachers about the concepts of mathematics and mathematics teachers. Metaphors were used to reveal these perceptions. The study is descriptive. The study group was determined according to the convenient sampling method. In this scope, 46 pre-service high school mathematics teachers participated in the study. The data were obtained through the completion of the “Mathematics is like ..... because .....” and “Mathematics teacher is like ..... because .....” statements by the participants. In the analysis and interpretation of the data; i) naming, ii) elimination, iii) category, and iv) validity-reliability …

Learning Assistantships In College Mathematics: Value For Preservice Teacher Development, Kelly Gomez Johnson, Paula Jakopovic, Janice Rech, Angie Hodge-Zickerman

Teacher Education Faculty Publications

Increasing the participation and achievement of students in Science, Technology, Engineering, and Mathematics (STEM) from early grades to college coursework continues to be at the forefront of educational transformations and research. Faculty members at Institutions of Higher Education (IHE) plan, implement, and investigate how program structures might aid in the development, retention, and overall success of undergraduate students in STEM. Active learning classrooms, especially in mathematics, are one way IHE are reforming student learning experiences, and these environments also provide a unique opportunity to engage undergraduate learning assistants with faculty to support near - peer students and deepen their own …

Coaching To Develop Teacher Professional Noticing: Planning With Students And Mathematics In Mind, Paula M. Jakopovic

Teacher Education Faculty Publications

Purpose

This paper examines how intentional mathematics coaching practices can develop teacher professional noticing of “ambitious teaching practices” (NCTM, 2020) through connected, collaborative coaching cycles.

Design/methodology/approach

Narrative analysis is used to examine observations of a mathematics coach and novice teacher to better understand the role of the coach in helping teachers attend to ambitious mathematics teaching (AMT) practices.

Findings

The initial findings of this study suggest that intentional use of focused goals, iterative coaching cycles and a gradual release model of coaching can support shifts in noticing of AMT from being led by the coach to being facilitated by the …

An Investigation Of The Effects Of Self-Efficacy On Stem Implementation, Caroline Buechel

Curriculum and Instruction Undergraduate Honors Theses

In order to equip students with the 21^st Century skills necessary for today’s society, STEM education must be properly implemented in school curricula (Lamb, Akmal, & Petrie, 2015). To do so, it is important for teachers to possess both proficient knowledge of the subject matter and confidence towards the implementation of STEM. A person’s beliefs about their ability is known as their self-efficacy (Bandura 1997). Related to education, Bandura notes that this self-efficacy affects a teacher’s views on their ability to handle tasks, obligations, and challenges related to a challenge (1997). Additionally, numerous studies indicate that this self-efficacy in …

Lessons Learned From Creating Videos For Online Video-Based Instructional Modules In Mathematics Teacher Education, Patrick R. Lowenthal, Laurie O. Cavey

Educational Technology Faculty Publications and Presentations

Video can be a powerful tool, with a long history of use in teacher education. Despite the increased popularity of using video in teacher education over the years, questions remain about effective ways to create and use video in online video-based instructional modules. Given this, in this paper we describe some lessons learned creating videos for online video-based instructional modules for secondary mathematics teacher candidates, as a part of a National Science Foundation (NSF) IUSE program (Award No. 1726543) funded project. We specifically focus on how we recorded interviews with middle and high school students, and iteratively developed the online …

Teachers Connecting With Rural Students And Places: A Mixed Methods Analysis, Angie Starrett, Jan A. Yow Ph.D., Christine Lotter Ph.D., Matthew J. Irvin Ph.D., Paula Adams

Faculty Publications

Our study explores how teachers’ living proximity to their school and level of social connection to their rural community may influence implementation of place-based education and student-teacher relationships in mathematics and science classrooms. Both quantitative and qualitative results from 4126 students and 19 teachers reveal homegrown teachers (live in community where they grew up) highly value and excel at student-teacher relationships. Conversely, less socially connected commuters excel at implementing place-based education. Implications of our study provide new directions for recruiting rural teachers, aside from focusing on those from within the rural community.

The Effect Of Coding Classes On Mathematics Achievement Of Preschool Students, Ebru Hacer Erbilgin

Walden Dissertations and Doctoral Studies

The problem that inspired this study is that Turkish students’ mathematics rankings on global exams such as The Program for the International Students Assessment (PISA) and Trends in International Mathematics and Science Study (TIMMS) had been below the average for many years, a problem that may have rooted in children’s early experiences with mathematics. The purpose of this quantitative pretest posttest quasi-experimental control group study was to determine the effect of computer-programming classes with Code Studio on mathematics scores of preschool students. Siemens’s connectivism theory for the digital age formed the foundation for this research. A single research question regarding …

Mathematics Methods For Early Childhood, Janet Stramel

All Open Educational Resources

This book is for the early childhood pre-service teachers, which includes the period from infancy until eight years of age. Mathematics skills must be taught in early childhood and children should be provided a foundation to succeed in elementary school and beyond.

Mathematics Methods for Early Childhood was designed to help early childhood teacher candidates develop an understanding of why lessons in early childhood should focus on mathematics in order to help children be successful. Young children are naturally curious, and the best time to begin mathematics is at a time while the young child's brain is rapidly developing. Mathematics …

Examining Teachers' Use Of Adaptive Diagnostic Assessment To Improve Mathematics Teaching And Learning, Dalal H. Alfageh

Graduate Research Theses & Dissertations

This qualitative case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary level mathematics. Specifically, this case study was conducted at some of the leading primary schools in a Midwestern school district. TPACK theory was used as the theoretical framework for this case study to provide an understanding of how the teaching and learning of mathematics occurs in the classroom and the changes that occur due to the implementation of adaptive diagnostic assessments. A survey, individual interviews, a focus group, and journal reflections were used for data collection. The findings of this …

Mathematics Teachers’ Pedagogical Content Knowledge And Its Relation To Student Achievement, Michelle Emmalyn Peters-George

Walden Dissertations and Doctoral Studies

Students' performance in national assessments of mathematics at Grades 2, 4, and 6 has been a cause for concern in the Eastern Caribbean. Researchers have called for studies to focus on primary mathematics teachers' pedagogies rather than on laptops and curriculum; however, it is unclear how primary mathematics teachers' pedagogical knowledge influences these student’s achievement. The purpose of this quantitative study was to investigate the relationship between primary mathematics teachers' pedagogical content knowledge (mathematical knowledge for teaching, quality of instruction, and pedagogical qualifications) and student achievement, measured by national assessment scores in Grenada, controlling for teachers’ age, gender, and experience. …