Science and Mathematics Education Commons^™

Pre-Service Teachers’ Noticing Of Students’ Mathematical Thinking When Planning, Teaching, And Reflecting On Lessons, Matthew Flores

Dissertations and Doctoral Documents, University of Nebraska-Lincoln, 2023–

A central aspect of reform-minded mathematical teaching is training and developing teachers' ability to notice vital aspects in the classroom and more specifically, students’ mathematical thinking. As there is an abundance of evidence and research that support the benefits for teachers to elicit and use students’ ideas and thinking during instruction, there are just as many challenges associated with developing and mastering this skill. Specially, teachers must learn to attend to important details of students’ thinking, interpret the meaning and understanding of students’ thinking, and finally, teachers must decide how to purposefully respond to the student in a manner that …

Parents' Experiences At A Mathematics Workshop Focused On K-2 Content, Abigail W. Wilkerson

Honors College Theses

Parents’ beliefs towards math have been shown to impact their children’s academic achievement in the subject (Elliott & Bachman, 2018; Maloney et al., 2015). With the constant changing of math standards, the math taught in today’s schools may be different from the way parents were taught math. This change can lead to feelings of discomfort or nervousness when the subject is brought up. A parent workshop geared towards helping parents better understand the way math content is being taught can help them to feel more comfortable with math and more prepared to help their children. To help combat this issue, …

Caminatas Comunitarias Para Enseñar Matemáticas En La Costa Caribe Colombiana: Un Enfoque Rural, Ricela Feliciano-Semidei, Kevin A. Palencia Infante, Jonathan A. Cervantes Barraza

Faculty Books & Book Chapters

Este libro recopila la experiencia vivida por docentes de matemáticas e investigadores que participaron del proyecto Pedagogías basadas en la comunidad rural para la enseñanza de las matemáticas en áreas rurales de la costa caribe colombiana. Los autores contextualizan estas experiencias para que puedan ser replicadas por otros docentes. Para lograrlo, se guía al lector con teorías educativas, políticas educativas, reflexiones y ejemplos alineados al currículo colombiano actual. Los ejemplos sirven de modelo y motivación para crear otras lecciones utilizando estas teorías. Este libro invita a los lectores a transformar las experiencias de los estudiantes de áreas rurales en recursos …

Exploring The Integration Of Neuroeducation Principles In Teaching Mathematics In Selected Secondary Schools In Iringa Municipality, Tanzania., Emmanuel Jonathan Kahise

Master of Education

This research explored the integration of neuroeducation principles in the mathematics curriculum of secondary educational institutions in Iringa Municipality, Tanzania, driven by the goal of enhancing learning outcomes and refining instructional strategies. Employing a qualitative case study methodology, the study examined teachers' perspectives, the actual implementation of neuroeducation concepts in classrooms, and the challenges encountered during integration. Through observations of form one and form three classes and interviews with three mathematics teachers, inconsistencies between claimed understanding and actual practices were identified. To address issues such as a lack of instructional resources, restricted technology access, and limited professional growth opportunities, specific …

Investigating Prodigy Math Program To Improve Students' Success In Mathematics, Justin A. Bledsaw

Masters Theses

This study investigates whether Prodigy improves student achievement in mathematics; whether Prodigy improves, specifically, math achievement of special education students, students of different ethnicities, and students of different genders. Further, the study wanted to explore student perceptions of Prodigy. The study was conducted in two fifth grade classrooms with a total of 31 participants. Two mathematics units were utilized to compare; one on multiplying whole numbers and the other on dividing whole numbers. In addition, participants completed a survey and a focus group interview to find out participant perceptions of Prodigy. Results reveal that the whole group scored higher in …

Investigating The Effect Of Streaming Based On Gender On Mathematics Learning In Mixed Secondary School: A Case Study Of A Selected Secondary School In Sheema District, Uganda, Naome Katumwebaze

Master of Education

Gender-based streaming, the practice of separating students into single-sex classes according to gender, is commonly implemented in some mixed secondary schools in Uganda. However, limited research exists on its impact on students' mathematics learning. This research study investigated the effect of gender-based streaming on mathematics learning in secondary schools in Uganda. The research is grounded in the context of Uganda's education system, which has a historical background of segregating education based on gender. It explores the expansion of formal education and the emergence of streaming as a practice in Ugandan secondary schools. The study recognizes the persistent gender gap in …

Asynchronous Class For Algebra I Preparation, Hunter Garretson

Williams Honors College, Honors Research Projects

Algebra I is the first high school mathematics class students take making it an important building block in the student’s growing mathematical foundation. Mitigating any losses in knowledge over the summer by using educational review tools has been proven helpful in previous studies. Every student comes from a different background, socioeconomic class, ethnicity, culture, etc., allowing each student to have a different summer experience. A meta-analysis looking into the concern of Summer Learning Loss (SLL) found that while some of its sample size would make summer knowledge gains, more than half of the sample size was projected to suffer from …

Combining The Concrete Representational Abstract Framework And Video Modeling To Increase Basic Addition Skills Among First Grade Students, Sara Ebner

Theses and Dissertations--Educational, School, and Counseling Psychology

Proficiency in mathematics is fundamental for academic success and is linked to numerous skills that are essential for success in the real-world. Despite its importance, many students struggle with math, leading to nationwide declines in math proficiency. This decline highlights the need for effective interventions that are accessible, able to be individualized, and feasible for implementation across settings. In the present study, a single case multiple probe across participants design was used to assess the efficacy of a concrete-representational-abstract (CRA) framework with video modeling intervention on the basic addition problem-solving accuracy of three first-grade students. Results show that participants’ accuracy …

Prospective Teachers' Conceptions Of Area, Betsy Mcneal, Sayonita Ghosh Hajra, Michael Battista, Ayse Ozturk

Teaching & Learning Faculty Publications

This study explored 10 prospective teachers’ (PTs’) understanding of the area of a rectangular region using square and non-square rectangular area-units. In an hour-long interview, each PT was first asked to explain how they would find the area of a given rectangular region in terms of a non-square notecard. For several PTs, this task prompted discussion of a square unit defined by the edge of the notecard. In a second task, PTs were presented with a rectangular array of squares and were asked to explain to a fictional child why multiplying length times width does not count the top left …

Indianapolis Gems Club: Engagement In Informal Mathematics And Science Learning, Maria Eloisa Nuguid

Purdue Journal of Service-Learning and International Engagement

There continues to be a need for the representation of women in science, technology, engineering, and mathematics (STEM) fields. To address this need, the Girls Excelling in Mathematics and Science (GEMS) research team at Purdue started a GEMS club at Lew Wallace School in Indianapolis, referred to as Indy GEMS Club. GEMS research assistants Maria Eloisa Nuguid, Yi Zhu, and Grace Gochnauer worked with Professor Elizabeth Suazo-Flores. This article is a description of the first Indy GEMS Club experience that consisted of hands-on activities created by GEMS founder Laura Reasoner Jones. The activities were hidden Legos, cup stacking, building a …

A Review Of “Making Black Girls Count In Math Education: Black Feminist Vision For Transformative Teaching, Michelle Craddock Guinn

Feminist Pedagogy

No abstract provided.

An Evaluation Using Universal Design For Learning, Lilah Nye

Honors Projects

This research was conducted to evaluate the prevalence of an Educational framework known as the Universal Design for Learning (UDL) in a set of lesson plans published by a nationally recognized organization. The intention of this focus was to push major professional organizations in mathematics education to produce inclusive resources for all students. UDL is an opportunity to increase accessibility of curriculum for students by reducing barriers to learning that play a role in educational inequity, and generally the goal of UDL is that lessons are made accessible preemptively to benefit all students rather than for individual students as the …

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 …

Using L1 Student Narratives And Peer Teaching To Increase Secondary Education Mathematical Understanding, Marco Antonio Martinez Leandro

Teacher Education, Educational Leadership & Policy ETDs

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States, participated in this study.

The study's main objective was to observe the effects of using students' discourse in their language and the support of technology to increase their academic literacy in mathematics. Solution-based pedagogy was central to helping students achieve the Development of Academic Literacy in Mathematics …

Near Peer Pedagogies For Culturally Sustaining Computer Science And Mathematics, Cliff Freeman, Eli Tucker-Raymond, Juan Gutierrez

Journal of Computer Science Integration

In this study, College STEM Literacy Workers act as co-teachers in 9th and 10th grade classrooms alongside mathematics teachers as they both learn to integrate a 30-hour integrated computer science/mathematics curriculum. As part of the curriculum for educator learning, we adapted the Algebra Project’s “Model of Excellence” for culturally relevant-sustaining pedagogies. We used the framework to explore how teachers understand College STEM Literacy Workers’ contributions in the model as well as College STEM Literacy Workers’ own experiences in the classroom. We found that while teachers and College STEM Literacy Workers did not individually instantiate the model of excellence, they were …

Bringing Learning Progressions Down To 2-Year-Olds In Reading And Mathematics, Prue Anderson

2021-2030 ACER Research Conferences

ACER’s learning progressions in reading and mathematics describe growth that is mainly focused on skills students demonstrate at and beyond school. These progressions have recently been extended down to describe earlier levels of growth so we now have seamless progressions from skills and understandings toddlers might demonstrate up to highly sophisticated skills and concepts. This presentation briefly outlines ACER’s work and identifies key implications for educators. The pathways that support early reading development were described in progressions for listening comprehension and sounds and letters. Along with an early mathematics progression, these were conceptualised as embedded in an oral language progression. …

Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers

Journal of Humanistic Mathematics

In this paper we address the questions: What is synesthesia? What support(s) can teachers provide for their students who have synesthesia? Nicole, a future mathematics teacher who possesses this synesthesia “superpower”, describes how it impacted her learning. We collected data for this case study through an audio-recorded and transcribed interview, as well as from subsequent email correspondence between the three authors. We asked Nicole three kinds of questions: questions she is frequently asked, questions she would like to be asked, and questions teachers (like Shelly and Beth) might ask. Results indicate that synesthesia may have helped Nicole learn English as …

Positioning Undergraduate Learning Assistants In Instruction: A Case Study Of The La Role In Active Learning Mathematics Classrooms At The University Of Nebraska–Lincoln, Rachel Funk

Department of Mathematics: Dissertations, Theses, and Student Research

Research suggests learning assistant (LA) programs can be a change lever to support the institutionalization of active learning in postsecondary education. Some research suggests LAs offer unique benefits for STEM courses, independent from other change levers, but more research needs to be done to understand how LAs support active learning classrooms, specifically in mathematics. Research on mathematics instruction and the use of reform resources suggests that the successful implementation of reforms is impacted by perceptions individuals hold about that resource, such as the LA role. Yet, there is little research about the LA role in mathematics, particularly where the instructor …

Analyzing The Influence Of Mathematics Intervention Teacher Actions On Students' Mathematics Identities: An Examination Of Bipoc Student Perceptions And Past Learning Experiences., Sydni P. Morris

Electronic Theses and Dissertations

This dissertation examines mathematics education's past and present state in the United States, emphasizing mathematics intervention instruction. This dissertation includes a complex and critical analysis of intervention practices and historical and structural inequities based on race present in these interventions and mathematics education. In combination, it examines the construct of mathematics identities, their role in student success with mathematics, and trends surrounding mathematics education and its impact on populations of students of color. Using Critical Race Theory as an underlying framework and Critical Counter-Narrative as a methodology, it argues a need for marginalized student voices to be present in the …

Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus

Theses, Dissertations and Culminating Projects

According to Piaget’s cognitive development theory and the constructivism learning theory of education, real learning occurs when students establish long term connections between disciplines by either adapting or redefining previously acquired knowledge. These ideologies have important teaching and learning implications that directly influence curriculum development and the design of a course of study. This thesis explores the interconnectedness of the subjects required for the successful completion of an undergraduate math program at Montclair State University. More specifically, it models students’ unique connections through a learning network and investigates the correlation between the interconnectivity of subjects and students’ overall performance. Results …

Connecting Music To The Mathematics Classroom, Nicholas Parr

Honors Projects

This project investigates the importance of integrating music into mathematics classrooms K-12. By outlining the numerous connections between mathematics and music, and applying those to pedagogy, the project provides interdisciplinary overlaps that may be unknown to current teachers. Evidence supports the conclusion that mathematical abilities improve after musical infusion, yet the presence of this intervention is lacking in grades 7-12. Therefore, both mathematical and musical intelligence suffer as a result of the separation of electives and core classes. This project contains eight original mathematics content standards, which would coincide with the Ohio Learning Standards for Mathematics, as well as a …

Reflecting On Movement In The Math Classroom, Zoey Berger

Honors Projects

The purpose of this paper is to determine how reflection on movement effects the learning and connections made by students in the math classroom. Kinesthetic Movement is a learning style that is oftentimes forgotten about and left out of classroom instruction. It can help increase motivation, build deeper connections, and create a more positive disposition towards math for students. Research was conducted in four, eighth grade, pre-algebra classes, with some classes being given the opportunity to reflect more than others. Test scores, journal responses, and interest surveys done by the students are used to show inconclusive results that reflection on …

Classroom Social Support: A Multiple Phenomenological Case Study Of Mathematics Graduate Teaching Assistants’ Decision Making In The Classroom, Brittany Johnson

Department of Mathematics: Dissertations, Theses, and Student Research

Research suggests that support offered by an instructor can have a significant impact on the student experience, both in terms of classroom performance and affective well-being. Research also suggests that there are different types of support that instructors can offer (e.g., emotional support, instrumental support, informational support, and appraisal support). Although such research suggests that students perceive and are affected by these different types of support in different ways, there does not appear to be research surrounding the decision-making process behind instructors offering the support or the extent to which social support is a priority for them in the classroom. …

Digital Game-Based Approach To Math Learning For Students, Gul Ayaz, Katherine Smith

Modeling, Simulation and Visualization Student Capstone Conference

Mathematics is an important subject that is pervasive across many disciplines. It is also a subject that has proven to be challenging to both teach and learn. Students face many challenges with learning math such as a lack of motivation and anxiety. To address these challenges, game-based learning has become a popular approach to stimulate students and create a more positive classroom environment. It can serve as an alternative or supplement to traditional teaching and can better engage students while developing a positive attitude toward learning. The use of games in a classroom can create a more exciting and engaging …

Investigating Correlations Among A Growth-Mindset Intervention, Students’ Math Anxiety, And Students’ Math Self-Efficacy, Anna Grace Chamberlain

Honors Projects

This paper details the methodology, data, and conclusions of a research study investigating the correlations among a growth-mindset intervention, math anxiety, and math self-efficacy. The study found that teaching students about mindset through an intervention approach did not make a significant difference in students’ math anxiety or math self-efficacy. Teacher-centered factors are discussed as having a greater impact on students’ math anxiety and math self-efficacy.

The Importance Of Implementing Literacy Strategies In A Mathematics Classroom, Lauren Tecca, Joanna Weaver, John Chen

Honors Projects

The purpose of this ACTION research study is to explore the influence of literacy on mathematical proficiency levels. The correlation will use the data to formulate some strategies for the classroom in order to increase confidence in both subject areas.

Using Visual Imagery To Develop Multiplication Fact Strategies, Gina Kling

Dissertations

The learning of basic facts, or the sums and products of numbers 0–10 and their related differences and quotients, has always been a high priority for elementary school teachers. While memorization of basic facts has been a hallmark of elementary school, current recommendations focus on a more nuanced development of fluency with these facts. Fluency is characterized by the ability to demonstrate flexibility, accuracy, efficiency, and appropriate strategy use. Despite recommendations to focus on strategy use, there is insufficient information on instructional approaches that are effective for developing strategies, particularly for multiplication facts. Using visual imagery with dot patterns has …

Examining The Impact Of Teachers’ Attitudes On College Students’ Attitudes In A Mathematics Classroom, Isiaka Busari, Adeola F. Oladeji, Tolulope O. Sulaimon

Science, Technology, Engineering, and Mathematics (STEM) Education Faculty Publications

This paper discusses the relationship between teachers' attitudes and students' attitudes toward mathematics in the classroom. Through a review of more than twenty relevant pieces of literature, the paper analyzes the impact of teachers' attitudes on students' achievement, performance, confidence, and motivation in mathematics. The study concludes that positive attitudes displayed by teachers can enhance students' positive feelings toward mathematics and increase their engagement in the subject. On the other hand, negative attitudes displayed by teachers can hinder students' motivation and engagement in mathematics. The paper suggests that teacher training programs should prioritize the development of positive attitudes toward mathematics …

Moving From Theory To Practice: Examining Teaching Mathematics For Social Justice In An Elementary School Classroom, Krystal Giles

Electronic Theses and Dissertations

Teaching mathematics for social justice is a distinctive approach to mathematics education that seeks to have students use mathematics to navigate their identities, understand their lived experiences, examine inequities, and become agents of change. Current research provides a rich explanation of what teaching mathematics for social justice entails. Still, there is a need for research that studies how to move from theory to practice. The purpose of this research study is to examine the experience of teaching mathematics for social justice within my fifth-grade mathematics classroom for myself and my students, analyze the extent to which students’ ethnic and academic …

Approach To Problem Solving And Use Of Intuition By Engineering Technology Students, Meher R. Taleyarkhan, Anne M. Lucietto, Natalie L. F. Hobson, Therese M. Azevedo

Journal of Global Education and Research

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers the students believe to be reasonable when in reality deviated from the correct answer. An extensive study was developed to assess several distinctions between student intuition and use of cognition in problem solving, as related to a generalized student population. The study was comprised of a survey and interview. The survey utilized two instruments, …