Education Commons^™

Uniting Students With Literacy Connections In Mathematics, Bridget K. Coleman, Michelle Rasheed, Nancy B. Ruppert, Toni M. Williams

South Carolina Association for Middle Level Education Journal

Literature provides opportunities for students to connect to mathematics, as well as each other. Reflecting on personal identities, storytelling, and place-based connections are avenues to enhancing the relevancy of content across the curriculum. Literature can bridge the divide for students reluctant to see the beauty in mathematics. It can also be the impetus in helping unite students as they gain a better understanding of cultures and places beyond their own. Stories, along with interactive tasks, give context for collaborative experiences. This article shares resources and strategies for building understanding and collaboration among students using cross-curricular connections between mathematics and literacy.

Creating Mandalas For World Peace While Incorporating Mathematics, Art, Literature, Writing, And Technology, Joseph M. Furner

Transformations

Across the USA there are more and more students whose parents are from around the world. It is important teachers can effectively teach mathematics to reach all students, particularly those with limited English proficiency, while establishing interdisciplinary and cultural connections and even working toward world peace. The purpose of this paper is to share how a class of students from an elementary school in South Florida with their teacher created mandalas to teach mathematics, art, writing, and even world peace to their students. Math teachers should strive to bridge the cultural gap among all students by incorporating innovative ideas as …

Testing The Knowledge Of Early Childhood Educators, Dianne S. Mccarthy

Journal of Inquiry and Action in Education

Teacher certification exams are supposed to assess if a student is likely to succeed in teaching. What if an exam seems to be inappropriate? This article is an inquiry of the New York State Content Specialty Test for Early Childhood Candidates, particularly the math section. It raises the issue of whether we are asking the right questions and ascertaining the right data to decide if someone has the appropriate math knowledge and is ready to teach math to young children.

Developing Better Instructors Using The Principles To Actions Professional Learning Toolkit, Abigail Pyle, Patrick Eggleton

Lux et Fides: A Journal for Undergraduate Christian Scholars

This research report documents how a group of mathematics teacher educators collaborated to use the Principles to Actions (NCTM, 2014) (PtA) Professional Learning Toolkit in their classes, the tools they used to measure development in the future teachers, and the findings from the study. In keeping with other studies, using “effective mathematics teaching practices” as defined by Principles to Actions brought about changes in the beliefs of preservice elementary mathematics teachers toward best practices for teaching mathematics. There is hope that the benefits of seeing those instructional practices used by elementary classroom teachers through the PtA Toolkit videos …

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

The 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 …

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 …

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 …

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.

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 …

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 …

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 …

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 …

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 …

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Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

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 …

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.

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.

Effects Of Game-Based Learning On Attitude And Achievement In Elementary Mathematics, Kyli White, Leah P. Mccoy

Networks: An Online Journal for Teacher Research

Games-based learning involves instruction with realistic game experiences (Cicchino, 2015). This action research study explored game-based learning as fifth grade mathematics students completed a brief unit on ordered pairs utilizing games-based lessons. Attitude and achievement data were collected mainly by surveys, content tests, student interviews, and field notes. Additional information included in the teacher-researcher analysis consisted of classroom photographs, videos, and student work samples. Results revealed that student attitudes improved both toward the lessons and toward math in general. Similarly, achievement improved for all students across the unit. Analysis of the narrative data produced three themes. First, the students acquired …

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 …

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 …

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.

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

Australian Journal of Teacher Education

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

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

Georgia Educational Researcher

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

The Importance Of Using Manipulatives In Teaching Math Today, Joseph M. Furner, Nancy L. Worrell

Transformations

This paper explores the research and use of mathematics manipulatives in the teaching of mathematics today during an age of technology and standardized testing. It looks at the drawbacks and cautions educators as they use math manipulatives in their instruction. It also explores some cognitive concerns as a teacher goes about teaching with math manipulatives. The paper shares many commonly used math manipulatives used in today’s classrooms and matches them up to some of the Common Core Math Standards that are taught today in classrooms in the USA and around the world.