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Approaches to qualitative research in mathematics education.
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Angelika Bikner-Ahsbahs, Christine Knipping, and Norma Presmeg, editors
- Table of Contents
Over the last twenty years, qualitative research has fought hard to earn legitimacy as opposed to the critical eyes of the positivist approach. Slowly these have emerged as complementary paradigms of scientific inquiry. It is still not uncommon, however, for colleagues and students to ridicule qualitative research methods as being loose, unscientific, or illegitimate. Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods is a clever gift for the skeptics who believe that pursuing truth is only possible through traditional empirical research.
In the book are 19 total chapters that cover the theories and methodologies of qualitative inquiry for research in mathematics education. Each chapter includes an abstract, keywords, sections and references. Together they cohesively showcase the variety of theories and methods within the broad framework of qualitative research and focus on connecting theories and research methods along with rich research examples. The theories and methods covered in the book include grounded theory, ideal type construction, theory of argumentation, the Vygotskian semiotic approach, networking of theories, mixed methods, multilevel analysis, qualitative content analysis, triangulation, and design-based research.
The book is too thick to be read in several days, but this is not a bad thing. Still, I doubt that the book can serve as an effective text for undergraduate students. Given the academic and technical nature of this book, it will better serve doctoral students in mathematics education, particularly students interested in examples of theoretical framework, design, and methods for qualitative study; as well as mathematics education researchers interested in gaining a current snapshot of advanced qualitative methodologies in the field.
It should be noted that each chapter stands alone: the chapters are neither interconnected nor presented in sequence. So readers may search for theories or methods in the subject index and read their chapters of interest. The author index is useful as well. For example, I was interested in how students develop abstract knowledge in the mathematics classroom. I searched the subject index and found an entry for abstractions, which led me to Chapter 8, titled “The Nested Epistemic Actions Model for Abstraction in Context.” The abstract for the chapter stated, “abstraction in context is a theoretical framework for studying students; processes of constructing abstract mathematical knowledge as it occurs in a context that includes specific mathematical, curricular and social components as well as a particular learning environment (p.185).” I was hooked and kept reading. The chapter provided an outline of the theoretical framework of Abstraction in Context, background information on the methodology, and a detailed account of how the theory and methodology supported one another in research design along with findings and analysis.
The work of the contributors inspires researchers in the field of mathematics education to replicate the studies and, more importantly, creates opportunities to further reflect on the ways theories inform qualitative research designs and methods. Whether the editors meant to achieve this or not, one thing is clear from reading the collective scholarly work: the book offers endless possibilities for our field to pursue truth beyond statistical significance in the phenomena of teaching and learning mathematics.
Woong Lim ( [email protected] ) is an Assistant Professor of Mathematics Education at University of New Mexico. His research interests include interrelations between language and mathematics, content knowledge for teaching, and social justice issues in mathematics education.
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Approaches to qualitative research in mathematics education : examples of methodology and methods
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- Part 1: Grounded theory methodology.
- Chapter 1: Anne R. Teppo. Grounded Theory Methods.
- Chapter 2: Maike Vollstedt. To see the wood for the trees: The development of theory from empirical interview data using grounded theory.-
- Part 2: Approaches to reconstructing argumentation.
- Chapter 3: Gotz Krummheuer. Methods for reconstructing processes of argumentation and Chaptericipation in primary mathematics classroom interaction.
- Chapter 4: Christine Knipping and David Reid. Reconstructing argumentation structures: A perspective on proving processes in secondary mathematics classroom interactions.-
- Part 3: Ideal type construction.
- Chapter 5: Angelika Bikner-Ahsbahs. Empirically grounded building of ideal types. A methodical principle of constructing theory in the interpretive research in mathematics education.
- Chapter 6: Angelika Bikner-Ahsbahs. How ideal type construction can be achieved: An example.-
- Part 4: Semiotic research.
- Chapter 7: Luis Radford and Cristina Sabena. The question of method in a Vygotskian semiotic approach.-
- Part 5: A theory on abstraction and its methodology.
- Chapter 8: Tommy Dreyfus, Rina Hershkowitz and Baruch Schwarz. The nested epistemic actions model for Abstraction in Context: Theory as methodological tool and methodological tool as theory.-
- Part 6: Networking of theories.
- Chapter 9: Ivy Kidron and Angelika Bikner-Ahsbahs. Advancing research by means of the networking of theories.
- Chapter 10: Angelika Bikner-Ahsbahs and Ivy Kidron. A cross-methodology for the networking of theories: The general epistemic need (GEN) as a new concept at the boundary of two theories.-
- Part 7: Multi-level-analysis.
- Chapter 11: Geoffrey B. Saxe, Kenton de Kirby, Marie Le, Yasmin Sitabkhan, Bona Kang. Understanding learning across lessons in classroom communities: A multi-leveled analytic approach.-
- Part 8: Mixed Methods.
- Chapter 12: Udo Kelle and Nils Buchholtz. The combination of qualitative and quantitative research methods in mathematics education-A "Mixed Methods" study on the development of the professional knowledge of teachers.-
- Part 9: Qualitative Content Analysis.
- Chapter 13: Philipp Mayring. Qualitative Content Analysis: Theoretical background and procedures.
- Chapter 14: Bjorn Schwarz. A study on professional competence of future teacher students as an example of a study using Qualitative Content Analysis.-
- Part 10: Triangulation and cultural studies.
- Chapter 15: Ida Ah Chee Mok and David J. Clarke. The contemporary importance of triangulation in a post-positivist world: Examples from the Learner's Perspective Study.-
- Part 11: Design research as a research methodology.
- Chapter 16: Arthur Bakker and Dolly van Eerde. An introduction to design-based research with an example from statistics education.
- Chapter 17: Michele Artigue. Perspectives on design research: The case of didactical engineering.
- Chapter 18: Erin Henrick, Paul Cobb and Kara Jackson. Educational design research to support system-wide instructional improvement.
- Part 12: Looking back.
- Chapter 19: Angelika Bikner-Ahsbahs, Christine Knipping and Norma Presmeg. Appendix.- References.- Index of keywords.
- (source: Nielsen Book Data)
Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions
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Qualitative research in mathematics in education.
The course is oriented to the unique aspects of doing research in mathematics education. It involves an exploration of the processes of doing qualitative research in mathematics education from development of the research question through writing the research report. The course emphasizes the purpose and interconnectedness of each part of the research process. Particular methodologies are explored and research skills are developed.
Journal for Research in Mathematics Education
An official journal of the National Council of Teachers of Mathematics (NCTM), JRME is the premier research journal in mathematics education and is devoted to the interests of teachers and researchers at all levels--preschool through college.
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Identity, power, and dignity: a positional analysis of gisela in her high school mathematics classroom.
Multiply minoritized learners face racialized, gendered, and ableist hierarchies of mathematical ability that shape the organization of schools and classrooms and can significantly challenge access to identities as mathematical learners and practitioners as well as to fundamental human dignity. Classrooms and everyday interactions can perpetuate or interrupt these conditions. Contributing to questions about the relationships among identity, power, and dignity in mathematics learning, this article presents a positional interaction analysis of Gisela, a Disabled 10th-grade Latina student, as she took up, challenged, and renegotiated identities of mathematical thinker, learner, and community member over the course of one school year.
Attending to Coherence Among Research Questions, Methods, and Claims in Coding Studies
We consider a kind of study common in mathematics education research: one that allocates qualitative data to categories in a theoretical or conceptual framework. These studies sometimes lack coherence among research questions, sampling and analysis methods, and claims, which can be attributed to tensions in how these aspects are framed. We ground our discussion in examples from five published studies, focusing on the methodological and reporting decisions that increase coherence: answering research questions from the same perspective they are asked (using a variance or a process lens), using (relative) frequencies properly to warrant claims, employing a coherent sampling strategy, and making appropriate generalizations. We argue that attending to coherence can increase the quality and contribution of coding studies.
The Journal for Research in Mathematics Education is published online five times a year—January, March, May, July, and November—at 1906 Association Dr., Reston, VA 20191-1502. Each volume’s index is in the November issue. JRME is indexed in Contents Pages in Education, Current Index to Journals in Education, Education Index, Psychological Abstracts, Social Sciences Citation Index, and MathEduc.
An official journal of the National Council of Teachers of Mathematics (NCTM), JRME is the premier research journal in mathematics education and is devoted to the interests of teachers and researchers at all levels--preschool through college. JRME presents a variety of viewpoints. The views expressed or implied in JRME are not the official position of the Council unless otherwise noted.
JRME is a forum for disciplined inquiry into the teaching and learning of mathematics. The editors encourage submissions including:
- Research reports, addressing important research questions and issues in mathematics education,
- Brief reports of research,
- Research commentaries on issues pertaining to mathematics education research.
More information about each type of submission is available here . If you have questions about the types of manuscripts JRME publishes, please contact [email protected].
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The editors of the Journal for Research in Mathematics Education (JRME) encourage the submission of a variety of manuscripts.
Manuscripts must be submitted through the JRME Online Submission and Review System .
Research Reports
JRME publishes a wide variety of research reports that move the field of mathematics education forward. These include, but are not limited to, various genres and designs of empirical research; philosophical, methodological, and historical studies in mathematics education; and literature reviews, syntheses, and theoretical analyses of research in mathematics education. Papers that review well for JRME generally include these Characteristics of a High-Quality Manuscript . The editors strongly encourage all authors to consider these characteristics when preparing a submission to JRME.
The maximum length for Research Reports is 13,000 words including abstract, references, tables, and figures.
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Brief reports of research are appropriate when a fuller report is available elsewhere or when a more comprehensive follow-up study is planned.
- A brief report of a first study on some topic might stress the rationale, hypotheses, and plans for further work.
- A brief report of a replication or extension of a previously reported study might contrast the results of the two studies, referring to the earlier study for methodological details.
- A brief report of a monograph or other lengthy nonjournal publication might summarize the key findings and implications or might highlight an unusual observation or methodological approach.
- A brief report might provide an executive summary of a large study.
The maximum length for Brief Reports is 5,000 words including abstract, references, tables, and figures. If source materials are needed to evaluate a brief report manuscript, a copy should be included.
Other correspondence regarding manuscripts for Research Reports or Brief Reports should be sent to
Patricio Herbst, JRME Editor, [email protected] .
Research Commentaries
The journal publishes brief (5,000 word), peer-reviewed commentaries on issues that reflect on mathematics education research as a field and steward its development. Research Commentaries differ from Research Reports in that their focus is not to present new findings or empirical results, but rather to comment on issues of interest to the broader research community.
Research Commentaries are intended to engage the community and increase the breadth of topics addressed in JRME . Typically, Research Commentaries —
- address mathematics education research as a field and endeavor to move the field forward;
- speak to the readers of the journal as an audience of researchers; and
- speak in ways that have relevance to all mathematics education researchers, even when addressing a particular point or a particular subgroup.
Authors of Research Commentaries should share their perspectives while seeking to invite conversation and dialogue, rather than close off opportunities to learn from others, especially those whose work they might be critiquing.
Foci of Research Commentaries vary widely. They may include, but are not restricted to the following:
- Discussion of connections between research and NCTM-produced documents
- Advances in research methods
- Discussions of connections among research, policy, and practice
- Analyses of trends in policies for funding research
- Examinations of evaluation studies
- Critical essays on research publications that have implications for the mathematics education research community
- Interpretations of previously published research in JRME that bring insights from an equity lens
- Exchanges among scholars holding contrasting views about research-related issues
Read more about Research Commentaries in our May 2023 editorial .
The maximum length for Research Commentaries is 5,000 words, including abstract, references, tables, and figures.
Other correspondence regarding Research Commentary manuscripts should be sent to:
Daniel Chazan, JRME Research Commentary Editor, [email protected] .
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The Journal for Research in Mathematics Education is available to individuals as part of an NCTM membership or may be accessible through an institutional subscription .
The Journal for Research in Mathematics Education ( JRME ), an official journal of the National Council of Teachers of Mathematics (NCTM), is the premier research journal in math education and devoted to the interests of teachers and researchers at all levels--preschool through college.
JRME is published five times a year—January, March, May, July, and November—and presents a variety of viewpoints. Learn more about JRME .
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Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods (Advances in Mathematics Education) Softcover reprint of the original 1st ed. 2015 Edition
Purchase options and add-ons.
- ISBN-10 9402406883
- ISBN-13 978-9402406887
- Edition Softcover reprint of the original 1st ed. 2015
- Publisher Springer
- Publication date September 11, 2016
- Part of series Advances in Mathematics Education
- Language English
- Dimensions 6.1 x 1.37 x 9.25 inches
- Print length 607 pages
- See all details
Editorial Reviews
“This book, Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods, edited by Angelika Bikner-Ahsbahs, Christine Knipping, and Norma Presmeg, is a timely and valuable addition to the research literature in mathematics education. … The book is to be strongly recommended.” (Keith Jones and Chronoula Voutsina, Educational Studies in Mathematics, Vol. 96, 2017)
“Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods is a clever gift for the skeptics who believe that pursuing truth is only possible through traditional empirical research. … The work of the contributors inspires researchers in the field of mathematics education to replicate thestudies and, more importantly, creates opportunities to further reflect on the ways theories inform qualitative research designs and methods.” (Woong Lim, MAA Reviews, July, 2015)
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- Publisher : Springer; Softcover reprint of the original 1st ed. 2015 edition (September 11, 2016)
- Language : English
- Paperback : 607 pages
- ISBN-10 : 9402406883
- ISBN-13 : 978-9402406887
- Item Weight : 1.86 pounds
- Dimensions : 6.1 x 1.37 x 9.25 inches
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Contents of Volume 93, Number 348 HTML articles powered by AMS MathViewer View front and back matter from the print issue
The Combination of Qualitative and Quantitative Research Methods in Mathematics Education: A “Mixed Methods” Study on the Development of the Professional Knowledge of Teachers
- First Online: 01 January 2014
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- Udo Kelle 6 &
- Nils Buchholtz 7
Part of the book series: Advances in Mathematics Education ((AME))
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Research about education in mathematics is influenced by the ongoing dispute about qualitative and quantitative research methods. Especially in the domain of professional knowledge of teachers one can find a clear distinction between qualitative, interpretive studies on the one hand and large-scale quantitative assessment studies on the other hand. Thereby the question of how professional knowledge of teachers can be measured and whether the applied constructs are developed on a solid theoretical base is heavily debated. Most studies in this area limit themselves to the use of either qualitative or quantitative methods and data. In this chapter we discuss the limitations of such mono-method studies and we show how a combination of research methods within a “mixed methods design” can overcome these problems. Thereby we lay special emphasis on different possibilities a mixed methods approach offers for a mutual validation of both qualitative and quantitative findings. For this purpose, we draw on data and results coming from an empirical study about a teacher training program in mathematics, where quantitative data measuring the development of professional knowledge of student teachers were related to qualitative in-depth interviews about the training program.
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Planning and Conducting Mixed Methods Studies in Mathematics Educational Research
Responding to evidence-based practice: An examination of mixed methods research in teacher education
Educational Research on Learning and Teaching Mathematics
Beck and Maier distinguish slightly differently between the “normative” and the “interpretive paradigm” going back on Wilson ( 1970 ).
It should be clear from the preceding discussion that this is not so much a problem of quantitative research per se —it may occur if one strictly follows a hypothetico-deductive approach (which is for many reasons advisable if quantitative methods are applied) and if researchers lack empirically contentful hypotheses, workable theories and/or specific knowledge about the domain under study. The latter is often not so much the fault of uninformed researchers but a consequence of the fact that social action is often structured by culture-bound rules and “local knowledge”.
A methodological adjustment of the treatment groups by measures of treatment evaluation (e.g. propensity score matching) has been omitted so far as the use of elaborate statistical methods to determine treatment effects appeared disproportionate due to the small group sizes. Furthermore, the group differences in Abitur grades are not significant and the relationship of school-related pre-cognitions considering the attendance at Advanced or Basic course merely reflects the pre-cognitions of local convenience samples.
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Kelle, U., Buchholtz, N. (2015). The Combination of Qualitative and Quantitative Research Methods in Mathematics Education: A “Mixed Methods” Study on the Development of the Professional Knowledge of Teachers. In: Bikner-Ahsbahs, A., Knipping, C., Presmeg, N. (eds) Approaches to Qualitative Research in Mathematics Education. Advances in Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9181-6_12
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NEW YORK - JANUARY 11: A young student's computer work station during her after-school learning ... [+] program. (Photo by Farah Nosh/Getty Images)
In a striking piece in Education Next , Laurence Holt dives into a series of research studies that show strong results for edtech math products Khan Academy, DreamBox Learning, i-Ready, and IXL— when the programs are used as recommended .
The results across the studies are great—0.26 standard deviations (equivalent to several months of additional learning), 0.20 SD, 0.22 SD, and 0.14 SD, respectively.
The problem? As Holt shows, in each of the studies, roughly 5% of students used each program at the minimum level prescribed. That’s a stunning—and depressing—convergence. To give an idea of what that signifies, just 4.7% of the students in the research study on Khan Academy, for example, use it a minimum of 30 minutes per week. Not a lot of time.
The other 95% of students not properly using the programs see minimal gains at best. Which helps explain why, despite the rapid adoption of digital math programs in the United States, we don’t see the growth in math achievement that you might expect based on the research.
Holt offers some theories as to what’s going on here, but I have a couple myself that could lead to more of the other 95 percent using the programs as prescribed.
Google Chrome Gets Third Emergency Update In A Week As Attacks Continue
Japanese fans are puzzled that yasuke is in ‘assassin’s creed shadows’, forbes releases 2024 30 under 30 asia list, edtech must pay attention to the learning model.
First, as we wrote as far back as Disrupting Class in 2008, it’s not the presence of technology alone that will move learning. It’s the use of technology to support a novel model of learning that will move the needle. What matters most is the model.
A central reason why technology isn’t a silver bullet in education is that when it’s crammed into the existing classroom model, at its best it can only serve as an additional resource to bolster that model’s existing processes and priorities. That means it can make an operation more efficient or allow it to take on additional tasks, but it can’t reinvent the model in and of itself. It also means that in many cases it will conflict with the organization’s processes and priorities and therefore go largely unused.
That could explain what’s going on here. The tech is just an add-on to the whole-class instruction going on. It’s not core to the model. And it’s not that different from Larry Cuban’s research back in the late-1990s showing that fifth graders reported using computers for programs like “Franklin Learns Math” or “Math Rabbit” just 24 minutes a week.
If these edtech vendors instead spent the time and resources to help the schools and classrooms set up even a basic Station Rotation model of blended learning , they could ensure that students would visit the online-learning station for a defined block of time each day in which students would do the digital math program. Then they’d all but guarantee that students would reach the minimum usage levels.
EdTech Needs to Think about Motivation and Learning Differences More
Second, another way to engage more students is to make the learning more intrinsically motivating for each student. In Disrupting Class , we suggested that that could occur in part by personalizing based on a variety of characteristics documented in research .
Holt does a terrific job of showing the potential power of this approach in another article in Education Next, “ The Orchid and the Dandelion .” The piece explores a link between a genetic variation and how students respond to teaching.
The basic idea is that some students seem to respond best when they receive more feedback and stimulation so that they can get a good feeling from the rush of dopamine. With “normal” levels of feedback and stimulation, they get bored and tune out. Others respond differently; too much feedback could cause them to get over-stimulated.
Customizing for these different profiles, as some research shows, may be crucial. But how many edtech providers are building their products to take these sorts of findings into account? This is to say nothing of all the other ways one might want to provide different hooks for students based on their background knowledge and interests to get them excited by different programs or approaches to learning math.
Building for this many different profiles and backgrounds is obviously hard. Which is why in Disrupting Class we hypothesized that so long as the content in digital learning software is built by a single entity, there will be limits to how much customization is possible. Instead, we argued, the ultimate correct amount of customization might only occur when a platform emerged with authoring tools that allow teachers, students, parents and more to easily create different modules for learning different concepts. Think YouTube but with far more interactivity than video.
To create a world in which more students use programs at their prescribed minimum level, this may be a necessary step. I get that we’re unlikely to undo the reality that as humans we like to avoid hard work. But anything edtech providers can do to make sure the work students are assigned is at the right level of ease and that students have the ability to navigate to content that gets them excited, the better the chance we have at making progress.
Because while there’s lots of research that shows promise, the 95% of students not using the products shows us we have a long way to go.
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'I made a major contribution to my research group’s software'
Brandon Li: Physics & Mathematics
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What was your favorite class and why?
I’ve taken so many amazing classes that it’s impossible to choose any one of them as my favorite. Basics of Quantum Mechanics taught by Prof. Tomás Arias was the class that taught me just how perfectly designed a physics course could be. The clarity and organization with which the class was taught made a subject with a reputation of being completely incomprehensible into something that felt as natural as learning to count. The next two classes are quite different in character but both stand out in my memory equally. In Prof. Yuval Grossman’s particle physics class, I learned to appreciate the role that intuition plays in uncovering the truth and finding understanding in concepts that are otherwise buried in layers of complexity and technical details. His lectures have a way of getting to the heart of whatever topic is being discussed and exposing its truest essence. In the opposite direction, Prof. Eanna Flanagan’s intermediate quantum mechanics class showed exactly how the technical details and mathematical construction of physics is itself a source of beauty. His rigor and mathematical precision gave me faith in the correctness and power of physics to provide insight in situations where intuition may not be enough. Aside from physics, the other class that provided me with an equal amount of satisfaction was the organ art and technology class taught by professors Annette Richards and David Yearsly. This class serves as a reminder that the two parts of Arts & Sciences cannot exist without each other, that music itself has intrinsic value because it is beautiful. This class showed that the organ is an instrument with many facets that come together to create some of the most beautiful music ever created.
What is your main extracurricular activity and why is it important to you?
I enjoy going to concerts here. It’s quite incredible that Cornell offers such an eclectic selection of music for us to enjoy. Out of all the concerts I’ve attended recently, there are two that stood above the others. The first was a baroque performance by the group Tafelmusik. Listening to their playing reminded me of how amazing it is to listen to a group of musicians performing a set of interconnected parts that combine to form a cohesive whole. The skill and passion with which they played demonstrated that there are few loves stronger than the love for music. Equally passionate and skillful was the music of the Klezmatics, who took traditional Eastern European Jewish music and played it with so much heart and soul that I couldn’t help but be emotionally moved.
What Cornell memory do you treasure the most?
My favorite memory is seeing the eclipse from the shores of Lake Ontario. Actually, the eclipse itself wasn’t even visible since it was so cloudy, however what made it special was that I went there with someone special to me, who appreciated it just as much as I did intellectually but was able to see the innate artistic beauty of such an event. When the sun completely disappeared behind the moon, the world went dark, the wind stopped blowing and it became quiet. What remained was an orange glow on the horizon, as if sunset was happening in all directions. During that moment, I was in the middle of a work of art, but where the artist was nature itself.
What have you accomplished as a Cornell student that you are most proud of?
The accomplishment I’m most proud of is my research work in computational condensed matter physics. This field of physics studies what happens when many atoms come together and interact, which includes, for example, the matter we interact with every day. I have great respect for this field because its depth provides an unending source of insight and interesting ideas and studying it requires applying tools from many other parts of physics and math. A large part of my research has been in a subject called density-functional theory which is a framework for turning the complicated quantum-mechanical interactions between electrons into a much simpler form that can be solved on a computer. My biggest accomplishment was making a major contribution to my research group’s software that allows us to accurately study the responses of crystals to many kinds of external influences. This is a project that has been in my supervisor’s mind for a long time, and I am glad to have finally brought it to fruition. Finally, my current research for my senior thesis involves developing new ways of studying materials composed of several mismatching layers. I hope to use our work to predict very interesting features of these materials that have been observed in experiments so that we can find even more exciting materials.
Who or what influenced your Cornell education the most?
My advisor Prof. Tomás Arias was the person who showed me what doing research in physics really meant. I have learned so much from his mentorship, and his support and guidance throughout these years has given me the inspiration and knowledge to do physics to the best of my ability. Not only have I learned a lot about physics, but I have also learned all the other skills necessary to succeed as a researcher. Seeing the way he supports all his students has made me aspire to treat my future collaborators with the same level of respect and encouragement that he has. I would also like to thank Drake Niedzielski for working with me and always being ready to discuss interesting ideas. Besides being incredibly fun to talk to, he is also a great researcher with great ideas. I will never forget the experience of doing world-class research with some of the most motivated and talented people I have met.
Every year, our faculty nominate graduating Arts & Sciences students to be featured as part of our Extraordinary Journeys series. Read more about the Class of 202 4.
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This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art ...
Arguably the most difficult aspect of qualitative research in mathematics education is the analysis of data. With improvements in technology, design of mathematical tasks, and interview techniques, mathematics education researchers are able to generate and record rich sets of qualitative data. However, the weak link in many mathematics ...
In the book are 19 total chapters that cover the theories and methodologies of qualitative inquiry for research in mathematics education. Each chapter includes an abstract, keywords, sections and references. Together they cohesively showcase the variety of theories and methods within the broad framework of qualitative research and focus on ...
This article presents a reflection on what the qualitative interview method conducted with students can provide to (mathematics) education research in terms of in-depth knowledge and what critical ...
Approaches to Qualitative Research in Mathematics Education by A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.) 592 pp. Dordrecht, The Netherlands: Springer Science + Business Media, 2015. ISBN: 978-9401791809 (Hardcover) ... Register to receive personalised research and resources by email. Sign me up. Taylor and Francis Group Facebook page.
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art ...
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics ...
Over the last three decades, a variety of qualitative research methods have emerged within mathematics education. In 2003, two volumes of ZDM were dedicated to such methods in mathematics education with a focus on interpretative research, to promote a discussion about qualitative methods. Those two volumes necessarily
Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions. 2013 •. Sashi Sharma. Download Free PDF. View PDF. Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
This mixed methods examination of 710 research articles in mathematics education published in six prominent educational journals during the period 1995-2005 finds that 50% of the studies used qualitative methods only, 21% used quantitative methods only, and 29% mixed qualitative and quantitative methods in various ways.
Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our under -
Despite being relatively new in mathematics education research, qualitative researchapproaches need special attention as attempts are being made to enhance the credibility and trustworthiness of this approach. It is important that researchers are aware of the limitations associated with these methods so that measures are put in place to try and ...
The course is oriented to the unique aspects of doing research in mathematics education. It involves an exploration of the processes of doing qualitative research in mathematics education from development of the research question through writing the research report. The course emphasizes the purpose and interconnectedness of each part of the research process. Particular methodologies are ...
This book discusses the combination of qualitative and quantitative research methods in mathematics education-A "Mixed Methods" study on the development of the professional knowledge of teachers and the role of triangulation and cultural studies. Part 1: Grounded theory methodology. Chapter 1: Anne R. Teppo. Grounded Theory Methods. Chapter 2: Maike Vollstedt.
An official journal of the National Council of Teachers of Mathematics (NCTM), JRME is the premier research journal in mathematics education and is devoted to the interests of teachers and researchers at all levels--preschool through college. Online ISSN: 1945-2306. eTOC Alerts. Latest Issue TOC RSS.
"This book, Approaches to Qualitative Research in Mathematics Education: Examples of Methodology and Methods, edited by Angelika Bikner-Ahsbahs, Christine Knipping, and Norma Presmeg, is a timely and valuable addition to the research literature in mathematics education. …
The contributions of qualitative research in mathematics education require complex analyses of, often, implicit phenomena (e.g., thinking, classroom norms, learning, affect). I define qualitative data analysis as a process of working with data, so that more can be gleaned from the data than would be available from merely reading, viewing, or ...
Simon (2013) defined qualitative data analysis in mathematics education research, as "a process of working with data, so that more can be gleaned from the data than would be available from reading ...
for Research in Mathematics Education (CERME9, 4-8 February 2015, pp. 1280-1286). Prague, C zech Republic: Ninth Conference of the European Society for Research in Mathematics Educatio n (CERME9).
Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development ...
The qualitative findings indicate that an interactive environment enables teachers to be conscious of selecting effective math-specific technologies that facilitate children's exploration and discovery of mathematics concepts. ... In Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia ...
Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our understanding of a particular topic within the field.
1. Presumably, the main goal of research in education is to identify and understand the factors that affect the teaching and learning of a subject and to develop models to improve its teaching and ...
CURRENT ISSUE: Communications of the American Mathematical Society. Launched by the American Mathematical Society in 2021, Communications of the American Mathematical Society (CAMS), is a Diamond Open Access online journal dedicated to publishing the very best research and review articles across all areas of mathematics.The journal presents a holistic view of mathematics and its applications ...
This paper reports on a qualitative replication study investigating the impact of the novelty effect on findings from interventions about the assessment of mathematics at university. The replication study used the same data collection tools of a previous study on oral assessment of mathematics, but data were collected in a context where oral assessment is the norm.
Mathematics of Computation. Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics. ISSN 1088-6842 (online) ISSN 0025-5718 (print)
This research aims to promote diversity and inclusion among higher education students by examining the integration of technology into project-based learning (PBL) for English as a foreign language (EFL) teacher candidates. Based on a mixed-methods approach and convenience sampling (n = 84 participants), this study involved pre-service teachers who collaboratively employed several authoring ...
Research about education in mathematics is influenced by the ongoing dispute about qualitative and quantitative research methods. Especially in the domain of professional knowledge of teachers one can find a clear distinction between qualitative, interpretive studies on the one hand and large-scale quantitative assessment studies on the other hand.
In Education Next, Laurence Holt dives into a series of research studies that show strong results for edtech math products—when the programs are used as recommended.
A large part of my research has been in a subject called density-functional theory which is a framework for turning the complicated quantum-mechanical interactions between electrons into a much simpler form that can be solved on a computer. My biggest accomplishment was making a major contribution to my research group's software that allows ...