Science and Mathematics Education Commons^™

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 …

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.

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 …

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 …

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 …

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 …

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, …

A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin

Doctoral Dissertations

This study explores how an elementary mathematics teacher supported English language leaners’ (ELLs’) academic language and concept development in the context of current high- stakes school reform. The conceptual frameworks informing this study include Halliday’s theory of systemic functional linguistics (e.g., Halliday & Matthiessen, 2014) and Vygotsky’s sociocultural theory of concept development (Vygotsky, 1986). Specifically, this study analyzes the interplay between academic and everyday language and how this interplay can facilitate the development of what Vygotsky referred to as “real” or complete concepts as students shift from “spontaneous” to more “scientific” understanding of phenomenon (Vygotsky, 1986, p.173). This year-long qualitative …

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.

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

Walden Dissertations and Doctoral Studies

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

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

Walden Dissertations and Doctoral Studies

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

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

Georgia Educational Researcher

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

Eği̇ti̇m Si̇stemi̇mi̇z Ve 21. Yüzyil Hayali̇mi̇z: 2045 Hedeflerine İlerlerken, Türkiye Için Stem Odaklı Ekonomik Bir Yol Haritası, Mehmet Aydeniz

Theory and Practice in Teacher Education Publications and Other Works

Bilimsel ve teknolojik gelişmeler, yeni sanayilerin oluşmasında, ülkelerin askeri savunma kapasitelerini artırmada, mevcut sanayilerde üretkenliği tetiklemekte, hayat kalitesinin yükselmesinde ve eğitimin erişebilirliğinde önemli bir rol oynamaya devam etmektedir. Dolayısıyla bir Ülkenin ekonomik gelişimi, bilimsel çalışma yapabilme kapasitesine, teknolojisinin gelişimine, girişimcilik ortamı ve inovasyon yapabilme kapasitesine bağlıdır.

Ekonomiye önemli katkıları olan bilimin ve teknolojinin gelişmesi, STEM alanlarında gerekli ön bilgi ve becerilere sahip, problemlere yaratıcı bir bakışla yaklaşabilen, özgür düşünebilen, sorgulayan, inovatif çözüm üretebilen, dayanışmayı önemseyen bir nesil yetiştirebilen okulların varlığına bağlıdır.

Peki Türk Eğitim Sistemi, Ülkemizin ekonomik yarışabilirlik potansiyelini yükseltecek, savunma kapasitesini artıracak, bölgesel liderliğinin bir adım öne çıkmasını sağlayacak …

Stem Integration: Math, Meet Biology!, Lindsey Herlehy, Karen Togliatti

Publications & Research

Join us for three hands-on, inquiry-based activities integrating mathematical and scientific thinking. First, explore patterns in the powers of ten and use this information to sort a set of images and design a scale model of an E. coli's DNA. Then, simulate a colorful biotechnology application using new tools and laboratory skills. Art, science, and math intersect in an activity merging coordinate geometry, symmetry, and biotechnology skills. NGSS and CCSS practice standards will be demonstrated.

Instructional Strategies Used By Effective Mathematics Teachers In Adventist Elementary Schools In Florida: An Mqi Analysis, Anna Adkins

Dissertations

The Problem

Teaching mathematics can be a difficult task. United States students on comparative international mathematics assessments consistently rank near the test averages. On a national assessment, commonly called the Nation’s Report Card, more than half of American students rank as ‘not proficient’ in mathematics. The purpose of this study was to describe the strategies used by teachers with at least average mathematical knowledge for teaching. This was evidenced by their scores on the Mathematical Knowledge Test for Teaching (MKT). In addition to teacher knowledge, the study sample was selected from among schools where the five-year average was above the …

Differentiating Instruction Through Math Stations And Literacy Centers, Olivia Bates

Faculty Curated Undergraduate Works

Differentiating instruction based on students’ readiness, interests, and learning profiles is essential for creating effective and meaningful learning activities. Identifying these characteristics allows teachers to meet students’ needs and engage them in learning. By differentiating instruction, educators target specific students’ strengths and challenges in developing lessons to support their understanding of content. Two useful strategies for differentiating math and literacy instruction include stations and centers. In stations and centers, students work on specific skills catered to their educational needs while rotating activities in flexible groups. This guide supports teachers in identifying strategies and understanding the benefits of differentiating math and …

An Examination Of Accessible Hands-On Science Learning Experiences, Self-Confidence In One’S Capacity To Function In The Sciences, And Motivation And Interest In Scientific Studies And Careers., Mick D. Isaacson, Cary Supalo, Michelle Michaels, Alan Roth

Journal of Science Education for Students with Disabilities

This study examined the potential relationship of accessible hands-on science learning experiences to the development of positive beliefs concerning one’s capacity to function in the sciences and motivation to consider science as a college major and career. Findings from Likert survey items given before and after engaging in accessible hands-on science laboratories show that students who were blind or had low vision (BLV) were more likely to agree with the following items after engaging in accessible science experiences: 1) I plan on enrolling as a science major in college; 2) My educational experiences, so far, have given me the …

Using A Repeated Measures Anova Design To Analyze The Effect Writing In Mathematics Has On The Mathematics Achievement Of Third Grade English Language Learners And English Speakers, Zoe A. Morales

FIU Electronic Theses and Dissertations

The gap that exists between English language learners and English speaking students’ achievement in mathematics continues to grow. Moreover, students are now required to show evidence of their mathematics knowledge through writing in standardized assessments and class assignments.

The purpose of this study was to analyze students’ writing in mathematics and the metacognitive behaviors they portrayed through their writing as they solved mathematics problems. The instruments included a pretest, two biweekly tests, and a posttest. The writing instruction encompassed students learning to solve problems by using Polya’s four phases of problem solving which was completed in 12 sessions over a …

The Effects Of Problem-Based Learning On Mathematics Achievement Of Elementary Students Across Time, Brittany Marie Crowley

Masters Theses & Specialist Projects

The present study specifically evaluated the long-term effects of problem-based learning (PBL) instruction on the mathematics achievement of students who demonstrated higher ability in the subject area than their comparable peers. Subjects included 65 students from six south-central Kentucky elementary schools who participated in Project Gifted Education in Math and Science (Project GEMS), a grant partially funded through the Jacob K. Javits Gifted and Talented Students Education Program. The students were assigned to one of three conditions – PBL-Plus, PBL, or Control – based upon school of attendance. The participants were then administered baseline testing in the fall of the …

When And How To Appropriately Implement Teaching Tools And Strategies For Early Childhood Numeracy, Elizabeth Bartha, Julie Dombai

Education: Student Scholarship & Creative Works

The Augustana/Longfellow Number Sense Project (NSP) is a collaborative action research project that was created to provide purposeful, individualized instruction for Longfellow’s kindergarteners and enhance the teacher education program at Augustana. During this program, we work with Kindergarten students on mathematical concepts and skills. Our lessons incorporate both hands-on materials and educational software into our lessons. As we became familiar with this software, we began to suggest ways we could improve the software as well as ideas for new applications designed to help meet needs the students encountered in the classroom. Because the students interacted with a variety of teaching …

Teaching Statistics To Elementary Children: Using A Problem-Solving Approach To Enhance Learning, Kayla Lee Botelho

Honors Projects

When teaching statistics (or data analysis) to elementary children, it is beneficial to use a problem-solving approach that incorporates meaningful tasks to enhance the students' learning. This was determined through a careful review of literature, observations of elementary teachers, and the creation and instruction of data analysis unit. The unit required the students to collect data on heights, organize the data in charts, and display the data in line plots. In addition, the students analyzed the data to recalculate the average and other measures of central tendency and to answer questions that arose through the implementation of the lessons. In …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine A. Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Faculty and Research Publications

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

The Impact Of Content Courses On Pre-Service Elementary Teachers’ Mathematical Content Knowledge, Michael Matthews, Janice Rech, Neal Grandgenett

Teacher Education Faculty Publications

In response to research documenting the mathematical deficiencies of pre-service elementary teachers, many teacher preparation programs are requiring mathematical content courses specifically focusing on the mathematics taught at the elementary level. This study considers what impact two such courses (one course focusing on Arithmetic, and the other course focusing on Geometry and Measurement) had on the mathematical content knowledge and attitude towards mathematics by comparing a group of pre-service elementary teachers who took these courses to a group of pre-service elementary teachers who took only a more general mathematics course (such as College Algebra). Results indicated that those teachers who …

It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel

Graduate Student Independent Studies

This work describes a professional development initiative that was based on the graduate course, Mathematics for Teachers in Diverse and Inclusive Educational Settings (K-6), taught by Linda Metnetsky at Bank Street College of Education. The author wrote and implemented this professional development initiative for teachers in her former district: a large, middle class, suburban school district outside of Philadelphia. It consisted of six full day sessions, held from October through April during the 2004-05 school year. Eleven teachers from third, fourth, and fifth grades participated, and the impact of this professional development on two participants is the focus of this …

Cooperative Learning On Mathematical Problem Solving: Reflections By A Traditional Teacher And Her Students, Diana Metsisto

Critical and Creative Thinking Capstones Collection

As our society becomes more technologically complex, the educational system preparing our students to become citizens of this society must adapt to met changing demands. Mathematical literacy of the 21st century will require a different model of mathematics education than that which served in the past. This thesis argues for a model of mathematics education which includes as key components: problem solving, question posing, cooperative learning, concrete manipulatives, and teaching for thinking. This new model sets forth guidelines for a facilitative approach to the teaching of mathematics as opposed to the more traditional, authoritative model. This facilitative model is based …

The Level Of Mathematical Understanding Possessed By Prospective Elementary Teachers, William Dean Vodarski

All Master's Theses

It was the purpose of this study to determine the level of mathematical understanding possessed by prospective elementary teachers graduating from Central Washington State College. It was also the purpose to determine if the measured level of mathematical understanding is related to such factors as sex, education classes completed, mathematics classes completed, and grade level of student teaching.