Education Commons^™

Secondary Math Teachers’ Responses To Errors In The Classroom, Richie Vicinanza

Honors College Theses

This study was conducted in an effort to find out how modern-day secondary math teachers respond to errors in their classrooms and the reasonings behind their responses. To fulfill the purpose of this study, various methods of research were used to gather information. Methods included looking into the scholarly sources surrounding the topic as well as a primary-conducted study in the field. Participants of this study were high school math teachers. The participants engaged in two semi-structured interviews (an initial and a debrief) as well as an observation that was conducted during one of their classes. Through the initial interview, …

Supporting Schools’ And Teachers’ Use Of Assessment To Inform Learning Of All Students, Ursula Schwantner, Soumaya Maghnouj

Global education monitoring

Issue 5 of the series Using assessment data in education policy and practice: Examples from the Asia-Pacific documents 4 case studies of promising and effective policies or practices on how education systems can better support teachers and schools in effectively integrating assessment practices in the teaching and learning process, to identify and meaningfully address every learner’s needs. In particular, the case studies show how different tools, approaches and policies help promote and reinforce the use of assessment to support more learner-centred and differentiated approaches to teaching and learning. 1. Using the Progressive Achievement approach to develop data-informed schools by Marc …

Figured Worlds Of Women Mathematics Education Scholars, Lili Zhou, Jill Newton, Brooke Max, Hyunyi Jung, Lindsay M. Keazer, Bimi Kumari Sapkota, Ricki L. Geller-Mckee

Education Faculty Publications

Drawing on the concept of figured worlds (Holland et al., 1998), this project focuses on addressing, responding to, and understanding the self within the figured world of the mathematics education community. Specifically, we examine a group of women with diverse backgrounds in terms of race, class, and cultural contexts, who are engaged in various roles as mathematics education scholars, including teachers, teacher educators, and researchers. Using a dialogical self approach, we facilitate both internal and external discourses, exploring personal histories, narratives, and the development of evolving identities. Our findings reveal that culture and social positions, such as gender, class, and …

Learning To Teach Prospective Elementary Teachers: A Narrative Inquiry Of A Newer Mathematics Content Instructor, Kelsey Quaisley

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

Learning to teach mathematics content courses designed for prospective elementary teachers (PTs) is challenging. Mathematics content instructors must be prepared to not only teach mathematics content, but engage PTs in understanding children’s mathematical thinking strategies, learning trajectories, and misconceptions (Carpenter et al., 1996; Carpenter & Moser, 1982; I et al., 2020). When considering how instructors might best be prepared and supported, however, one must recognize that there is significant variation in the backgrounds and expertise of mathematics content instructors (Masingila et al., 2012; Yow et al., 2016) and little is known about the preparation, knowledge, and experiences of mathematics content …

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. …

The Difference In Geometry Achievement Between Students Who Utilize Lfm Strategies And Those Who Do Not: A Nonequivalent Control-Group Pretest/Posttest Study, Amanda Nicol

Doctoral Dissertations and Projects

The purpose of this quantitative, quasi-experimental nonequivalent control-group pretest/posttest study was to identify whether there is a difference in Geometry achievement between students who utilize Learning for Mastery (LFM) strategies compared to those who do not at the high school level. This study provided insight into instructional and assessment strategies that may increase student achievement, understanding, and retention. Seventy-three high school mathematics students enrolled in Geometry courses, grades nine through twelve, from a suburban high school in Northwestern New Jersey were assessed in this study. Students were given a pretest, participated in daily classwork and instructional strategies for ten weeks, …

Teaching Routines And Student-Centered Mathematics Instruction: The Essential Role Of Conferring To Understand Student Thinking And Reasoning, Eva Thanheiser, Kathleen Melhuish

Mathematics and Statistics Faculty Publications and Presentations

We compare two lessons with respect to how a teacher centers student mathematical thinking to move instruction forward through enactment of five mathematically productive teaching routines: Conferring To Understand Student Thinking and Reasoning, Structuring Mathematical Student Talk, Working With Selected and Sequenced Student Math Ideas, Working with Public Records of Students’ Mathematical Thinking, and Orchestrating Mathematical Discussion. Findings show that the lessons differ in the enactment of teaching routines, especially Conferring to Understand Student Thinking and Reasoning which resulted in a difference in student-centeredness of the instruction. This difference highlights whose mathematics was being centralized in the classroom and whether …

Fostering Spatial Ability Development In And For Authentic Stem Learning, Caiwei Zhu, Chloe Oi-Ying Leung, Eleni Lagoudaki, Mariana Velho, Natalia Segura-Caballero, Dietsje Jolles, Gavin Duffy, Gunter Maresch, Marianna Pagkratidou, Remke Klapwijk

Articles

Empirical interdisciplinary research has explored the role of spatial ability in STEM learning and achievement. While most of this research indicates that fostering spatial thinking in educational contexts has the potential to positively impact students’ enrollment and performance in STEM subjects, there is less agreement on the best approach to do so. This article provides an overview of various types of effective spatial interventions and practices in formal or informal educational contexts, including targeted training of STEM-relevant spatial skills, spatialized curricula embedded in schools, integrated STEM practices addressing students’ use of spatial skills, and spatial activities in informal STEM education. …

Pre-Service Elementary Teachers' Framing Of Mathematical Discussions After Problem-Solving Through Mursion™ Simulation, Sezai Kocabas, Melva Grant, Signe Kastberg, Hanan Alyami

Teaching & Learning Faculty Publications

Research on pre-service teachers' discussion practices has focused on decompositions of practice into subskills, while acknowledging the importance of the role of context, identity, and relationships between interactive moves. We focused on 66 elementary preservice teachers' (PSTs') framing-launching moves in discussions after problem-solving in a MursionTM custom simulation. PSTs used five moves: gathering information about student processes, focusing on problem features, task and non-task oriented social interactions, and partner talk. Empirical findings of PSTs' intentions and tacit actions coupled with study findings of the diversity in PSTs' framing moves, highlight the complexity of teacher decision making involved in discussion subsills …

Sustaining At Scale: District Mathematics Specialists’ Adaptations To A Teacher Leadership Preparation Program, Michael Jarry-Shore, Victoria Delaney, Hilda Borko

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however, teacher leaders may receive less support. To ensure that teacher leaders continue receiving support, researchers can prepare district mathematics specialists to assume responsibility for preparing the teacher leaders. Little is known, however, about district mathematics specialists’ role in sustaining, and potentially adapting, professional development programs. We examined district mathematics specialists’ facilitation of an adaptive teacher leadership preparation program. Program sessions were originally facilitated by researchers then by …

Pre-Service Teachers’ Perceptions Of Problem-Based Learning For Developing Their Mathematics Teaching Pedagogy, David A. Martin, Romina Jamieson-Proctor

Research outputs 2022 to 2026

The study reported in this paper was part of a larger study that explored pre-service teachers’ perceptions of the effectiveness of a problem-based learning (PBL) teaching approach for developing their mathematics pedagogical content knowledge (PCK) and their ability to enact their PCK in a tertiary mathematics education subject. This paper reports the qualitative semi-structured interviews used to capture the student voice with respect to the impact of the PBL approach used on the development of their mathematics PCK in comparison to their previous experiences with teacher-directed instruction. Overall, responses from the interviews revealed the pre-service teachers considered the PBL method …

Teaching Innovation Learned From The 2022 Amte Conference: Prepare Future Mathematics Educators, Yi-Jung Lee

TFSC Publications and Presentations

The role of mathematics has transformed from gatekeeper to launchpad in K-12 schools and been considered as a critical factor in career readiness in a diverse society (CDE, 2022). Therefore, teacher education programs must adopt effective teaching approaches with cultural awareness while preparing future mathematics teachers. I shared a revised teaching design framework (Rhodes, 2021) along with the Culturally Responsive Mathematical Modeling perspectives to help educators integrate a) productive disposition, b) the instructional design with modeling tasks, and c) equity-minded practice into their teaching preparation and practices.

Teaching Mathematics With Technology: Tpack And Effective Teaching Practices, Christopher R. Rakes, Michele L. Stites, Robert N. Ronau, Sarah B. Bush, Molly H. Fisher, Farshid Safi, Siddhi Desai, Ashley Schmidt, Janet B. Andreasen, Jon Saderholm, Lisa Amick, Margaret J. Mohr-Schroeder, Julian Viera

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

This paper examines how 17 secondary mathematics teacher candidates (TCs) in four university teacher preparation programs implemented technology in their classrooms to teach for conceptual understanding in online, hybrid, and face to face classes during COVID-19. Using the Professional Development: Research, Implementation, and Evaluation (PrimeD) framework, TCs, classroom mentor teachers, field experience supervisors, and university faculty formed a Networked Improvement Community (NIC) to discuss a commonly agreed upon problem of practice and a change idea to implement in the classroom. Through Plan-Do-Study-Act cycles, participants documented their improvement efforts and refinements to the change idea and then reported back to the …

The Knowledge Produced Through Student Drawings, Vesife Hatisaru

Research outputs 2022 to 2026

Drawings have been extensively used as a research method to gather data from research participants including school students regarding their perceptions of mathematics and its teaching and learning. What is valued in drawing-based research in mathematics education, and what kind of knowledge is produced through student drawings, however, is not known. This study examines drawing-based research studies to understand these questions by applying a novel framework – the legitimation code theory (LCT). The study focuses on two cases: one of which looked at middle school students’ images of mathematicians (draw a mathematician) and the other examined the same age group …

Timss 2019 Australia. Volume Ii: School And Classroom Contexts For Learning, Sue Thomson, Nicole Wernert, Sarah Buckley, Sima Rodrigues, Elizabeth O'Grady, Marina Schmid

TIMSS 2019

This is the second of two reports that look at the results of TIMSS 2019 and Australia’s performance. Volume I focuses specifically on the achievement results, detailing Australia’s results within the international context, and presents results for the Australian jurisdictions, and for the different demographic groups within Australia, including male and female students. This report, Volume II, presents the results from the contextual questionnaires, and examines the contexts in which learning and achievement occur, including home, school, and classroom contexts, as well as student attitudes. Each chapter focuses on different indicators that cover the school community, the school learning environment, …

Beyond Traditional Teacher Preparation: Value-Add Experiences For Preservice Secondary Mathematics Teachers, Paula Jakopovic, Kelly Gomez Johnson

Teacher Education Faculty Publications

The current pool of highly qualified secondary mathematics teachers is woefully inadequate to address the needs of schools across the United States and other countries internationally. In STEM (Science, Technology, Engineering, Mathematics) areas, providing quality instruction in a changing world requires continuous change and innovation as programs prepare and train teachers. University teacher preparation programs wrestle with ways to provide wider professional experiences (WPE) within social learning environments called communities of practice (CoP). This qualitative study examines a university-led undergraduate scholarship program, aimed at recruiting, training, and retaining highly qualified secondary preservice mathematics teacher candidates. With increased exposure to mathematics …

Creating A Culturally Relevant Statistics Assignment On Z-Scores, Grace Pai

Publications and Research

Culturally relevant teaching or pedagogy has become increasingly popular both in practice and in research, but there are still few curricular resources for instructors to use, particularly for a college-level mathematics course. Departing from the question “relevant to whom,” this article illustrates how to design a statistics assignment on z-scores that is culturally relevant to students based on their prior experiences. Ultimately, the author shares design principles—which includes the importance of considering student trauma—that can be transferable to any statistics or quantitative analysis/reasoning class.

Mathematics Anxiety: Supplementary Materials, Sarah Buckley

Student learning processes

This publication contains two professional development activities for teachers which focus on mathematics anxiety. One is a team-based activity and the other is an activity for individuals. The activities encourage both mathematics teachers and non-mathematics teachers to reflect on their current practice, their attitudes towards mathematics, their ideas about teaching mathematics and the mathematical beliefs of students.

Mathematics Anxiety, Sarah Buckley

Student learning processes

This Mathematics Monograph is focussed on helping teachers and school leaders gain a better understanding of: How mathematics anxiety negatively impacts learning and teaching; the symptoms, causes and companions of mathematics anxiety; the difference between reducing mathematics anxiety directly and indirectly; and strategies that can identify and address mathematics anxiety in students and teachers. The Monograph is intended to present information for reflecting and planning how mathematics anxiety can be reduced and regulated in classrooms and in the school community.

Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout

Student learning processes

This publication contains three professional development activities targeted at teachers of mathematics. The activities for both groups and individuals focus on the challenge of word problems in maths and connecting maths to the real world. Also included are references, materials and resources related to the issue of the connections between numeracy and mathematics.

Critical Connections Between Numeracy And Mathematics, Dave Tout

Student learning processes

Increasingly research is showing that life and work in the 21st century is requiring higher levels of mathematics and numeracy of its citizens. Numeracy and mathematics are intrinsically connected and BOTH are needed in our ever changing, globalised and technological world. This paper looks at the implications of this for the skills we want our students to develop and leave school with, and how we can better address these in our teaching and learning.

Patterns, An Approach To Learning Algebra And Developing Mathematical Thinking In Primary School In Honduras, Johana Elizabeth Thomas Zapata, Alejandra Cáceres

English Language Institute

No abstract provided.

Understanding Secondary School Teachers’ Tpack And Technology Implementation In Mathematics Classrooms, Julia Eden Hill, Lida Uribe-Florez

Educational Technology Faculty Publications and Presentations

The technological, pedagogical, and content knowledge (TPACK) framework provides an understanding of a teacher’s knowledge in the three areas and how it is used to effectively teach with technology (Koehler, Mishra, & Cain, 2013). This study explores the TPACK of middle and high school math and special education teachers and how teachers integrate technology in their mathematics classrooms. Teachers in a rural public school district in the Mid-Atlantic region of the U.S were surveyed. In the concurrent mixed-method design, data were collected using a survey with 22 close-ended questions from Zelkowski, Gleason, Cox, & Bismark (2013) to measure teachers’ TPACK …

Secondary Mathematics Teachers' And Students' Approaches To Engagement And Motivation For Mathematics Learning In The Classroom, Leenah Bouzid

Honors Theses

Engagement and motivation in a mathematics classroom is an issue that educators and researchers continually examine and analyze to understand and develop ways to maintain or increase. The main goal of this thesis research project is to gain insight and understand what engagement and motivation means in a mathematics classroom by examining secondary mathematics teachers and students. The literature from researchers and educators describe components that contribute to engagement and motivation such as mathematical disposition, which is the attitudes and beliefs towards the subject and learning the subject, self-efficacy, which is about the student’s belief in one’s own capabilities, intrinsic …

Mathematics Identity And Achievement Among Black Students, Lidia Gonzalez, Shawnda Chapman Brown, Juan Battle

Publications and Research

Employing data from the National Center of Educational Statistics’ (NCES) High School Longitudinal Study (HSLS) and utilizing critical race theory and intersectionality as theoretical frameworks, this article interrogates the relationship between mathematics identity and math success for a nationwide sample of Black secondary school students. More specifically, hierarchical regression modeling is employed to examine the relative impact of math identity, demographic variables, and school/parent social capital variables on the math grade point averages of this sample. The article ends with a discussion of specific steps for teaching mathematics that put the identity of those from traditionally marginalized communities at the …

The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao

Teacher India

Sheshagiri KM Rao describes the non-conventional teaching methods of his high school mathematics teacher Channa who helped students to discover the beauty in mathematics.

Mentoring Future Mathematics Teachers: Lessons Learned From Four Mentoring Partnerships, Angie Hodge, Janice Rech, Michael Matthews, Kelly Gomez Johnson, Paula Jakopovic

Teacher Education Faculty Publications

Mentoring is an important aspect of mathematics teacher education, and in particular, pre-service teacher education. Faculty at a large Midwestern university developed and refined a mentoring program designed to help pre-service secondary mathematics teachers, called Scholars, become future leaders in mathematics education. This paper describes how faculty mentors leveraged challenges in the mentoring program’s early stages based on their reflections and initial mentee outcomes to create a more effective mentoring program. Recommendations based on research and practice are provided for other university programs interested in mentoring future mathematics teachers.

“Diabesity” Among Latinos: A Culturally Relevant Mathematics Activity By A Mathematics Teacher Candidate, Olga Ramirez, Cherie Mccollough

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

This paper summarizes a culturally relevant mathematics project conducted by a mentored secondary-level Latino teacher candidate (TC) as a requirement for an undergraduate mathematics project course at a south Texas university. The culturally relevant math project involved four secondary Latino students and their parents. The topic was “diabesity”; that is, diabetes and obesity among Latinos southern region in the United States of America with an emphasis on body mass index, proper diet, and exercise. Remarks by the faculty mentor and a faculty consultant about the TC work and reflections regarding this project are also included and provide perspectives on how …

We Would If We Could: Examining Culturally Responsive Teaching Self-Efficacy In A Middle School Mathematics Methods Course, Jamaal R. Young, Jemimah L. Young, Brandon L. Fox, Earl R. Levingston Jr., Alana Tholen

Faculty Publications

Despite mounting evidence of the pedagogical importance of culturally responsive teaching, many teachers do not implement culturally responsive practices in their classrooms. The purpose of this study was to investigate pre-service mathematics teachers’ culturally responsive teaching and outcome expectancy in order to inform teacher preparation in mathematics methods courses. Participants completed the Culturally Responsive Teaching Self-efficacy Scale (CRTSE) and the Culturally Response Teaching Outcome Expectancy (CRTOE) Scale. Results suggest that middle school mathematics teachers were only moderately efficacious in their ability to implement culturally responsive teaching practices, despite strong beliefs in the instructional utility of culturally responsive teaching practices.

What, How, Who: Developing Mathematical Discourse, Kelley E. Buchheister, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

A collaborative classroom, an open-ended problem, and a what-how-who structure can build students’ reasoning skills and allow teachers to recognize all classroom contributions.

With an increased focus on using social discourse to enhance students’ mathematical thinking and reasoning (NCTM 2014, Staples and King 2017), teachers are looking for discussion strategies that encourage middlelevel students to make sense of mathematical concepts. However, structuring these valuable discussions is complex. “Mathematical discourse should build on and honor student thinking, and provide students with opportunities to share ideas, clarify understandings, develop convincing arguments, and advance the mathematical learning of the entire class” (Smith, Steele, …