Education Commons^™

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 …

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 …

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 …

Examining The Effectiveness Of Khan Academy As An Instructional Tool In A Highschool Mathematics Course, Shane C. Kreller

MSU Graduate Theses

With the many educational resources available to today’s educators, it is critical that educators utilize the best options to maximize instructional time and resources. With the widespread use of Khan Academy, it is worthwhile to examine if its most well-known attribute, its math program, is effective in improving student outcomes. This study examined if the use of Khan Academy in a high school math course would improve participating student scores over the course of a quarter marking period. The researcher anticipated that participating students would experience higher math scores and increased confidence in their ability to handle covered mathematical concepts.

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, …

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, 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.

Women Leaders In Mathematics Education: An Analysis Of Gender In Leadership Roles In Professional Organizations, Brianna Kurtz, Farshid Safi

Journal of Educational Leadership in Action

Professional organizations within mathematics education have been a source of development, connection, pedagogical direction, and policy for decades. With gender and equity discussions reaching the forefront of the mathematics education conversation, one must consider the gender representation of those leading the organizations upon which we rely. The authors analyzed historical presidential data from four major mathematics education professional organizations in the United States. Women were found to be in presidential roles at a statistically significantly less proportion (p<0.001) in three of the four organizations. When the organizations were considered aggregately since the enactment of Title IX, a trend to a plateau at 40% female leadership was seen. Future analysis beyond the presidential role and breakdowns by other factors are advisable.

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Critical Mathematical Inquiry

Occasional Paper Series

Welcome to Issue 41 of Bank Street’s Occasional Paper Series. The issue features a collection of papers by authors with a shared affinity for the work of critical mathematical inquiry (CMI). In what follows, we present our framing of mathematics education as a participatory venue for CMI and situate it in the context of another, perhaps more familiar approach to teaching mathematics for social justice (TMfSJ).

Collaboration And Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, And Agency, Frances K. Harper

Occasional Paper Series

When faced with the challenge of supporting students to do the “messy” mathematical work necessary for exploring social justice problems through critical mathematical inquiry, teachers might rely on more procedural or direct instruction. Because how students learn matters as much as what they learn, this can inadvertently limit students’ engagement with mathematics. Instructional strategies designed to foster equitable collaboration can support critical mathematical inquiry by promoting norms for equitable student engagement and mathematics identity development. As teachers and students negotiate what counts as mathematics engagement and who has access to mathematics, students’ authority over mathematics and social justice issues increases.

Cultivating A Space For Critical Mathematical Inquiry Through Knowledge-Eliciting Mathematical Activity, Debasmita Basu, Steven Greenstein

Occasional Paper Series

Learning mathematics becomes more effective when teachers leverage their students' mathematical and everyday knowledge as resources for instruction. Thus, tasks that reveal these forms of knowledge would be especially useful to teachers. Unfortunately, such tasks are hard to find and even harder to create. Consequently, we developed a collection of mathematical tasks that we hoped would elicit “children’s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children’s mathematics learning—including children’s mathematical thinking, and children’s cultural, home, and community-based knowledge)” (Turner et al., 2012, p. 68). These tasks proved to be productive …

Mathematics Teacher Educators' Exploring Self-Based Methodologies, Elizabeth Elizabeth, Signe E. Kastberg, Dana Cox, Jennifer Ward, Olive Chapman, Melva R. Grant

Teaching & Learning Faculty Publications

Historically underused methodologies in mathematics teacher education such as narrative inquiry, self-study, and autoethnography (i.e., self-based methodologies) are becoming a more frequent choice of mathematics teacher educators (MTEs). This has opened new challenges for MTEs as they try to disseminate their findings in mathematics education journals. Building from our working group at PME-NA 2018, we respond to the need for creating spaces (communities) where MTEs can feel supported in their study design, implementation, representation of findings, and publication using self-based methodologies. This year, we shift our focus from discussion to mentoring and scholarship on self-based methodologies. We invite MTEs with …

Pre-Service Teachers’ Emerging Views On Educational Equity, Melody Wilson

Master's Theses and Doctoral Dissertations

An equity-based Statistics course for pre-service mathematics teachers could play a role in the development of pre-service teachers’ equity literacy, encouraging conversations about equity in education and illuminating structural factors that contribute to the educational opportunity gap in the U.S. In the Winter 2019 semester, a faculty team at the author’s university piloted such a course. The course included data explorations dealing with structural inequities by race – one of the most difficult topics to address productively in a teacher preparation course. For the present study, a survey of pre-service teachers’ views on educational equity was administered in a required …

On The Removal Of Motivation And Structural Barriers In The Classroom And Across The Mathematics Curriculum, Benjamin Wiles, Chantal Levesque-Bristol

IMPACT Presentations

Presentation at the research roundtable discussion at the 2018 Critical Issues in Math Education Workshop, Mathematical Sciences Research Institute, in Berkeley, CA.

Presents data on the ability of active learning methods to impact motivation and promote learning outcomes in mathematics courses.

Turning Policy Into Practice: A Case Study Examining The Interplay Between Policy, Research, And Program Design In Teacher Education, Ryan Andrew Nivens, Catherine Paolucci

Ryan Andrew Nivens

Excerpt:This presentation will consider the interplay between policy, international research and the design and development of a new mathematics teacher education program in the Republic of Ireland.

Math Is More Than Numbers: Beginning Bilingual Teachers’ Mathematics Teaching Practices And Their Opportunities To Learn, Cathery Yeh

Education Faculty Articles and Research

In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers’ mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods courses. Findings revealed that the teachers were oriented toward differing views of learning that shaped how they organized students’ learning of language and mathematics during classroom instruction. While both teachers used similar teaching strategies to support students’ development of mathematics specific literacies, there were variances in how the learners were positioned within the classroom …

Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan

Education Faculty Articles and Research

Students with disabilities are often framed as “the problem” and have limited opportunities to engage in standards based mathematics leading to persistent underachievement. In this paper, we investigate a research divide between mathematics educational research for students with and without disabilities, a divide with significant differences in the theoretical orientations and research methodologies used to understand learners. Based on an analysis of 149 mathematics educational research articles published between 2013 and 2015, we found significant differences between articles focused on learners with and without disabilities. For those with disabilities, mathematical problem solving was understood primarily from behavioral and information processing …

A Comparison Of Latent Class Analysis And The Mixture Rasch Model: A Cross-Cultural Comparison Of 8th Grade Mathematics Achievement In The Fourth International Mathematics And Science Study (Timss-2011), Turker Toker

Electronic Theses and Dissertations

This study provides a comparison of the results of latent class analysis (LCA) and mixture Rasch model (MRM) analysis using data from the Trends in International Mathematics and Science Study - 2011 (TIMSS-2011) with a focus on the 8th-grade mathematics section. The research study focuses on the comparison of LCA with Mplus version 7.31 and MRM with WinMira 2011 to determine if results obtained differ when the assumed psychometric model differs. Also, a log-linear analysis was conducted to understand the interactions between latent classes identified by LCA and MRM. The data set used in the study was from four diverse …

Supporting An Understanding Of Mathematics Teacher Educators:Identifying Shared Beliefs And Ways Of Enacting Their Craft, Joseph S. Rino

Theses and Dissertations

For many preservice elementary and secondary teachers, the first time they encounter the notion that mathematics can be taught in ways other than what they experienced is in their teacher preparation program. Therefore, the potential impact of the mathematics teacher educator on the understanding and development of preservice teachers is immense, especially as that impact is considered in connection to the various reform efforts related to mathematics education that have spread across the country for the past three decades. Given the scarcity of systematic research focused on mathematics teacher educators, the author sought to understand defining characteristics of that role. …

Success After Failure: Academic Effects And Psychological Implications Of Early Universal Algebra Policies, Keith Howard, Martin Romero, Allison Scott, Derrick Saddler

Education Faculty Articles and Research

In this article, the authors use the High School Longitudinal Study 2009 (HSLS:09) national database to analyze the relationships between algebra failure, subsequent performance, motivation, and college readiness. Students who failed eighth-grade Algebra I did not differ significantly in mathematics proficiency from those who passed lower-level courses, but initially demonstrated significantly lower mathematics interest, mathematics utility, and mathematics identity. Both groups were less likely than the general population to meet college requirements in the eleventh grade, although students who passed a lower-level mathematics course fared better than those who failed Algebra I. Implications for policies addressing mathematics course enrollments are …

Turning Policy Into Practice: A Case Study Examining The Interplay Between Policy, Research, And Program Design In Teacher Education, Ryan Andrew Nivens, Catherine Paolucci

ETSU Faculty Works

Excerpt:This presentation will consider the interplay between policy, international research and the design and development of a new mathematics teacher education program in the Republic of Ireland.

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and …

The Mathematics Education Of Future Primary And Secondary Teachers : Methods And Findings From The Teacher Education And Development Study In Mathematics, Maria Tatto, Sharon Senk, Glenn Rowley, Ray Peck

Ray Peck

In 2005, the International Association for the Evaluation of Educational Achievement (IEA), Michigan State University, and the Australian Council for Educational Research took an important step in advancing the field of education by partnering to develop and implement the first international and comparative study of mathematics teacher education. The study was made possible by the substantial funding received from the National Science Foundation, the IEA, and the collaboration of 17 participating countries. The purpose of this article is to illustrate the methodology used in this major cross-national study of teacher education—the IEA Teacher Education and Development Study in Mathematics, known …

Changing The Order Of Mathematics Test Items: Helping Or Hindering Student Performance?, Kristin T. Kennedy, Allison G. Butler

Journal of Humanistic Mathematics

This paper recounts an experiment by a mathematics professor who primarily teaches mathematics majors. The main question explored is whether the ordering of the questions makes a difference as to how students perform in a test. More specifically we focus here on the following research questions:\ (1) Does arranging a math test with easy-to-hard items versus hard-to-easy items impact student performance? and (2) If so, does item order impact male and female mathematics majors and non-majors in unique ways? We examine data collected over multiple semesters with several different classes. We find that for most of the mathematics students who …

Implementing A Blended Model Of Mathematics Instruction – Issues And Outcomes, Natasha Brewley, Alvina Atkinson, Barry Biddlecomb

SoTL Commons Conference

The session will present issues and results from the implementation of a blended instruction model at the authors' institution. The blended instruction model involves coming together as a class less often and encourages student learning by making them more responsible for their learning outside of the classroom. In addition to describing the authors' home institution, this presentation will have three objectives: (1) Describe the blended instructional model (What is Blended learning and what does it look like?), (2) Present student evaluations. (What have students said about taking a course like this?), and (3) Present quantitative comparisons between blended and traditional …

Mathematical Thinking Of Young Children Through The Eyes Of Preschool Practitioners, Robert Hunting, Catherine Pearn

Catherine Pearn

This paper reports on interview responses to three questions seeking preschool practitioners' perceptions of mathematical thinking in very young children. Generally, the interviewees were found to have a good sense of mathematical concepts relevant to babies and toddlers, and they cited evidence of young children's mathematical development. It is concluded that this practical knowledge provides a strong foundation for further professional development. [Author abstract]

Stand Up And Be Counted : Who'd Be A Maths Teacher?, Mark Butler

Mark Butler

Teaching is not easy, but everyone who has never done it seems to think they can do a better job - just as comedians are often offered so- called 'good' jokes by non-comedians. The author of this article, who taught secondary school mathematics for five years, provides an amusing account describing the similarities between a maths teacher and a stand- up comedian.

Whole Number Knowledge And Number Lines Help To Develop Fraction Concepts, Catherine Pearn

Catherine Pearn

Many researchers have noted that students' whole number knowledge can interfere with their efforts to learn fractions. In this paper the authors discuss a teaching experiment conducted with students in Years 5 and 6 from an eastern suburban school in Melbourne. The focus of the teaching experiment was to use number lines to highlight students' understanding of whole numbers then fractions. The study used a screening test and interview using number lines to probe students' understanding of fractions as numbers. By using whole numbers on number lines first, the interview questions clearly helped many students to connect whole number and …