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Articles 1 - 30 of 39
Full-Text Articles in Science and Mathematics Education
Defining Evolution: Exploring Students’ Conceptions Of Evolution In Introductory Biology Courses, Jeremy L. Hsu, Meredith A. Dorner, Kate M. Hill
Defining Evolution: Exploring Students’ Conceptions Of Evolution In Introductory Biology Courses, Jeremy L. Hsu, Meredith A. Dorner, Kate M. Hill
Biology, Chemistry, and Environmental Sciences Faculty Articles and Research
Background
Understanding evolution is an important part of undergraduate biology education. Despite its importance, however, students often struggle to understand evolution, often holding preconceived notions of what evolution is. Here, we investigate how students in both majors and non-majors introductory biology define and conceive of evolution at the start of the semester for a two-year college and a four-year university near each other. We analyze open-ended responses to an in-class activity on the first day of the semester that asked students to define evolution, generating insight into how students are thinking of evolution prior to any formal instruction on evolution …
The Perspective Of An Alumnus, Rifah Tasnim
Editor’S Note, Amanda Landi
Contributors
Early College Folio
Contributors, Early College Folio, Volume 3, Issue 1 (2024).
Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl
Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl
Journal of Humanistic Mathematics
According to a widely held view, mathematical proofs are essentially (indications of) formal derivations, and thus in principle mechanically checkable (this view is defended, for example, by Azzouni [3]). This should in particular hold for the kind of simple proof exercises typically given to students of mathematics learning to write proofs. If that is so, then automated proof checking should be an attractive option for math education at the undergraduate level. An opposing view would be that mathematical proofs are social objects and that what constitutes a mathematical proof can thus not be separated from the social context in which …
Teacher Candidate Learning Of Interdisciplinary Controversial Issues: Linking Social Studies And Science In The Elementary School Curriculum, Brandon M. Butler, Stephen R. Burgin, Mark Diacopoulos, William Mcconnell
Teacher Candidate Learning Of Interdisciplinary Controversial Issues: Linking Social Studies And Science In The Elementary School Curriculum, Brandon M. Butler, Stephen R. Burgin, Mark Diacopoulos, William Mcconnell
Open Educational Resources - Teaching and Learning
Teaching controversial issues poses challenges for teacher candidates, stemming from apprehensions about potential backlash and gaps in content and pedagogical knowledge. The prevailing emphasis on tested subjects such as mathematics and reading/writing in elementary school education often sidelines social studies and science, limiting opportunities for candidates to engage with these disciplines and their associated instructional strategies, including addressing controversial topics. Integrating social studies and science with other subject areas emerges as a viable approach to ensure comprehensive education. Teacher education coursework serves as a vital platform for exposing educators to interdisciplinary curriculum design and implementation. Such exposure prompts teacher candidates …
Global Implications Of Covid-19 On Education And Research In Healthcare And Stem: Analysis Of Case Studies, Yumna Indorewala, Santanu De
Global Implications Of Covid-19 On Education And Research In Healthcare And Stem: Analysis Of Case Studies, Yumna Indorewala, Santanu De
FDLA Journal
The zoonotic novel coronavirus, SARS-CoV-2 posed major threats to the world’s economy, social development, and public health. Education and research in STEM and healthcare were no exceptions to the global implications of the Coronavirus Infectious Disease 2019 (COVID-19) pandemic. Social distancing guidelines were initially recommended to refrain from in-person operations for preventing the transmission of the virus. As academic organizations implemented multifarious methods to effectively transition to remote/online or hybrid educational formats, COVID-19 necessitated designing, adopting, as well as evaluating the efficacy of new instructional approaches, especially for disciplines that require active, experiential learning such as healthcare and STEM. These …
درجة امتلاك الطلبة المعلمين بتخصص العلوم في جامعة السلطان قابوس لمهارات التفكير المستقبلي وعلاقتها بمستوى معرفتهم بالنمذجة العلمية, Samira Al Maamari, Abdullah Khamis Ambusaidi Prof.
درجة امتلاك الطلبة المعلمين بتخصص العلوم في جامعة السلطان قابوس لمهارات التفكير المستقبلي وعلاقتها بمستوى معرفتهم بالنمذجة العلمية, Samira Al Maamari, Abdullah Khamis Ambusaidi Prof.
Journal of the Association of Arab Universities for Research in Higher Education (مجلة اتحاد الجامعات العربية (للبحوث في التعليم العالي
هدف المقال معرفة درجة امتلاك الطلبة المعلمين بتخصص العلوم في جامعة السلطان قابوس بسلطنة عُمان لمهارات التفكير المستقبلي وعلاقتها بمستوى معرفتهم بالنمذجة العلمية، واستخدمت الدراسة المنهج الوصفي؛ إذ تكونت عينة الدراسة من (100) طالبٍ وطالبةٍ (45 ذكرًا، و55 أنثى) تخصص العلوم بكلية التربية في جامعة السلطان قابوس، واختيرت بطريقة العينة المتيسرة. ولتحقيق أهداف الدراسة أُعدت أداتان، هما: مقياس لمهارات التفكير المستقبلي لديهم، تكون من (36) عبارة موزعة على ستة محاور، واستبانة مختلطة (مغلق – مفتوح)؛ للكشف عن مستوى معرفتهم بالنمذجة العلمية، وتضمن على 12 سؤالًا. أظهرت النتائج أن درجة امتلاك مهارات التفكير المستقبلي لدى الطلبة المعلمين بتخصص العلوم في جامعة …
Pltl Develops Scholars For Majors In The Built-Environment, Shpat Halili, Calvin O. Walters Jr.
Pltl Develops Scholars For Majors In The Built-Environment, Shpat Halili, Calvin O. Walters Jr.
Publications and Research
The National Science Foundation S-STEM program at NYC College of Technology (City Tech), Developing an Ecosystem of STEM success for Built Environment Scholars (Award Number 2150432), focuses on supporting and developing scholars in the majors relating to the Built Environment. The proposed project includes the expansion of Peer-Led Team Learning (PLTL) at City Tech. The PLTL model creates a supportive learning environment and supplements the faculty-centered classroom with student-led and student-oriented workshops. At City Tech, existing workshops provide curricular support in statics and mathematics. The PLTL program benefits promising first-year STEM students, and the S-STEM program utilizes the PLTL model …
Exploring Factors That Contribute To Stem Transfer Student Sense Of Belonging, Brittney R. Gallant, Cate Pocitari
Exploring Factors That Contribute To Stem Transfer Student Sense Of Belonging, Brittney R. Gallant, Cate Pocitari
Student Research Symposium
There is an ongoing disconnect between the number of students who enter college intending to earn a STEM degree and the number of students who persist to degree, this is particularly true for transfer students. Sense of belonging has been named as a STEM persistence factor, yet how that belonging develops for transfer students is largely unknown. Here we used a mixed-methods design to explore the experiences of STEM transfer students at PSU (n=38). Participants completed a survey prior to participating in an interview. The survey and interviews explored their science identity, sense of belonging, and involvement in STEM-related activities. …
Interpersonal Experiential Learning And Cancer Research Training Designed To Enhance The Motivation Of Participating Interns Utilizing Self-Determination Theory: A Longitudinal Study With Photovoice Methodology, Alex Vazquez-Cortes, Dierdre Mckay, Connie Tran, Bridget Bugla, Tiffany Bui, Kaisa Holt, Anthony Phan, Clare Hansen, Amy Lin, Amanda Braley, Lisa Marriott Phd
Interpersonal Experiential Learning And Cancer Research Training Designed To Enhance The Motivation Of Participating Interns Utilizing Self-Determination Theory: A Longitudinal Study With Photovoice Methodology, Alex Vazquez-Cortes, Dierdre Mckay, Connie Tran, Bridget Bugla, Tiffany Bui, Kaisa Holt, Anthony Phan, Clare Hansen, Amy Lin, Amanda Braley, Lisa Marriott Phd
Student Research Symposium
Historically, the underrepresentation of individuals from disadvantaged backgrounds, disabled, and diverse racial/ethnic groups in STEM fields is prevalent. Equity in stem fields allows for different perspectives and knowledge backgrounds allows for the cognitive diversity needed to tackle complex research topics. The Knight Scholars Program (KSP) aims to support underrepresented and disadvantaged high school and undergraduate students pursuing a research career by teaching them the tools they need to succeed. Spanning over three summers, KSP utilized the Self-Determination Theory (SDT) of motivation to create an inclusive learning environment and to strengthen the high schoolers' motivation to pursue research careers focusing on …
Using Student Interests To Explore Inclusion In Undergraduate Chemistry, Sonja Hoversten
Using Student Interests To Explore Inclusion In Undergraduate Chemistry, Sonja Hoversten
CSB and SJU Distinguished Thesis
For students who are not chemistry majors, but who are on a career track requiring four chemistry courses, taking the final reactivity chemistry course (CHEM 251) for pre-health students can be daunting. For this reason, this research is focused on the CHEM 251 course at The College of Saint Benedict and Saint John’s University (CSBSJU) which is one of the four required chemistry courses for pre-medicine and some pre-physician assistant students, and all chemistry and biochemistry majors. Student perception of inclusion in the course increased through the implementation of group assignments including prompts for individual application of the material. The …
Exploring The Impact Of Subject Placement On Exam Questions, Briana M. Craig, Jeremy L. Hsu
Exploring The Impact Of Subject Placement On Exam Questions, Briana M. Craig, Jeremy L. Hsu
Student Scholar Symposium Abstracts and Posters
Quizzes and exams are crucial elements of undergraduate biology courses; however, little research has been done exploring the importance of the phrasing used in the questions on these assessments. Question framing has the potential to impact student performance and sense of belonging greatly. In this study, we conducted an experiment where we created three versions of the exact same question except for the framing for the experimental scenarios. One version was written with self-referential framing using the term “you,” simulating the student conducting the experiment; another version used classmate-referential framing, placing one of their peers in the experiment; the third …
The Effectiveness Of Mind Maps As An Instructional Approach For Developing Critical-Thinking Skills And Dispositions: A Meta-Analysis, Carmen De Jesus
The Effectiveness Of Mind Maps As An Instructional Approach For Developing Critical-Thinking Skills And Dispositions: A Meta-Analysis, Carmen De Jesus
Doctoral Dissertations
Mind mapping is the most flexible visual learning and active instructional approach. It has many applications, such as brainstorming, taking notes, memorizing, and conceptualizing complex topics using associations between images and keywords, colors, and visuospatial characteristics. Students can elaborate mind maps individually and collaboratively, digitally or nondigitally. Teachers can also elaborate mind maps for studying purposes. This meta-analysis aims to investigate the effectiveness of mind mapping as an instructional approach for developing critical-thinking skills and dispositions. With 22 studies (20 of which are international) and 1,535 participants, all employing a quasi- experimental study design, this meta-analysis is a comprehensive exploration. …
Addressing Climate Change Anomie In Teacher Education, Teresa Anne Fowler
Addressing Climate Change Anomie In Teacher Education, Teresa Anne Fowler
Northwest Journal of Teacher Education
This research project sought to understand how preservice teachers explore their relationship with Science and confidence in teaching about climate change in Science education amid a culture of denial regarding the impact of the climate crisis. Using data from three cohorts of students in an elementary Science methods course, this paper shares the context of climate change acceptance in the province of Alberta, Canada, the fossil fuel economic hub of Canada, and how using Journell’s framework for controversial issues alongside a critical energy literacy framework using inquiry, supported preservice teachers to address their hesitancy in Science classrooms to engage with …
Preservice Teachers Learning To Teach In An Anti-Racist/Climate-Justice Program: Challenges And Promises, Richard Sawyer
Preservice Teachers Learning To Teach In An Anti-Racist/Climate-Justice Program: Challenges And Promises, Richard Sawyer
Northwest Journal of Teacher Education
The global climate crisis represents the most urgent problem facing the planet, impacting social, cultural, political, economic, and environmental dimensions of life. Alarmingly, it has impacted communities of color in disproportionate ways (Goddell, 2023; Pellow, 2013). The climate crisis, along with the intertwined context of racism, places a profound responsibility on social justice teacher educators to prioritize addressing these issues in teacher preparation. The intent of the following two case studies is to explore the impact of a project based teacher preparation program focused on cultural and environmental justice on the pedagogical knowledge and practice of teaching interns at the …
Artificial Intelligence: Integration In Higher-Level Accounting Teaching And Learning Practices, Sarah Rahim
Artificial Intelligence: Integration In Higher-Level Accounting Teaching And Learning Practices, Sarah Rahim
Honours Bachelor of Business Administration
This literature review examines the issues related to the integration of artificial intelligence in accounting education within the Ontario college context. A review of current scholarly literature reveals important benefits including improved teaching and learning practices. However, the research also cautions about some of the disadvantages including bias and academic integrity breaches. Stakeholder perceptions to artificial intelligence are also explored, including those of educators, students, employers, governments, advocacy groups, and developers. The literature revealed that artificial intelligence can be effectively integrated into classrooms and teaching/learning practices via course design, grading, intelligent tutoring, and planning. However, it also cautioned about the …
1st Place Contest Entry: Examining Students’ Perception Of & Experiences In Stem Course Office Hours, Gabriella Dauber
1st Place Contest Entry: Examining Students’ Perception Of & Experiences In Stem Course Office Hours, Gabriella Dauber
Kevin and Tam Ross Undergraduate Research Prize
This is Gabriella Dauber's submission for the 2024 Kevin and Tam Ross Undergraduate Research Prize, which won first place. It contains their essay on using library resources, their bibliography, and a summary of their research project on students’ perception of and experiences in their STEM course office hours.
Gabriella is a fourth-year student at Chapman University, majoring in Biological Sciences. Their faculty mentor is Dr. Cassandra Zalman.
Using Smartphones To Innovate Laboratories In Introductory Physics Courses, E. Bernardini, M. Carli, M.Y. Elkhashab, Andrea Ferroglia, Miguel C. N. Fiolhais, L. Gabelli, H. Jessen Munch, Darya Krym, P. Mastrolia, Giovanni Ossola, O. Pantano, J. Postiglione, J.S. Poveda Correa, C. Sirignano, F. Soramel
Using Smartphones To Innovate Laboratories In Introductory Physics Courses, E. Bernardini, M. Carli, M.Y. Elkhashab, Andrea Ferroglia, Miguel C. N. Fiolhais, L. Gabelli, H. Jessen Munch, Darya Krym, P. Mastrolia, Giovanni Ossola, O. Pantano, J. Postiglione, J.S. Poveda Correa, C. Sirignano, F. Soramel
Publications and Research
The SmartPhysics project involved two higher education institutions, one in Italy and one in the US, with the aim of exploring the use of smartphones for laboratory experiments in introductory Physics courses. Here we present and discuss two experiments that were developed in the project: the pendulum experiment, consisting in the measurement of the gravitational constant using a proximity stopwatch, and the ‘bouncing ball’ experiment, aimed at measuring the energy lost in inelastic collisions with a hard surface. Both experiments were tested with the students in the academic year 2021-22. Our results and didactical reflections contain suggestions for the use …
From The Editors, Michele H. Koomen, Thomastine A. Sarchet-Maher, Jessica Williams
From The Editors, Michele H. Koomen, Thomastine A. Sarchet-Maher, Jessica Williams
Journal of Science Education for Students with Disabilities
JSESD remains a venue for the dissemination of research and practice related to the education of students with disabilities in the science classroom and laboratory since 1998. Volumes #1 through 11 were published in a print format. Starting with Volume #12, the journal has been published online and Open Access. Having JSESD in the Open Access format maximizes access for readers and authors and allows the journal to remain economically sustainable. JSESD is proud to now be publishing articles in both PDF and HTML formats (the HTML versions can be accessed through a link from the main articles’ web-page).
Overcoming The Barriers To Teaching Teamwork To Undergraduates In Stem, Gregory R. Goldsmith, Miranda L. Aiken, Hector M. Camarillo-Abad, Kamal Diki, Daniel L. Gardner, Mario Stipčić, Javier F. Espeleta
Overcoming The Barriers To Teaching Teamwork To Undergraduates In Stem, Gregory R. Goldsmith, Miranda L. Aiken, Hector M. Camarillo-Abad, Kamal Diki, Daniel L. Gardner, Mario Stipčić, Javier F. Espeleta
Biology, Chemistry, and Environmental Sciences Faculty Articles and Research
There is widespread recognition that undergraduate students in the life sciences must learn how to work in teams. However, instructors who wish to incorporate teamwork into their classrooms rarely have formal training in how to teach teamwork. This is further complicated by the application of synonymous and often ambiguous terminology regarding teamwork that is found in literature spread among many different disciplines. There are significant barriers for instructors wishing to identify and implement best practices. We synthesize key concepts in teamwork by considering the knowledge, skills, and attitudes (KSAs) necessary for success, the pedagogies and curricula for teaching those KSAs, …
Variations In Student Approaches To Problem Solving In Undergraduate Biology Education, Jeremy L. Hsu, Rou-Jia Sung, Su L. Swarat, Alexandra J. Gore, Stephanie Kim, Stanley M. Lo
Variations In Student Approaches To Problem Solving In Undergraduate Biology Education, Jeremy L. Hsu, Rou-Jia Sung, Su L. Swarat, Alexandra J. Gore, Stephanie Kim, Stanley M. Lo
Biology, Chemistry, and Environmental Sciences Faculty Articles and Research
Existing research has investigated student problem-solving strategies across science, technology, engineering, and mathematics; however, there is limited work in undergraduate biology education on how various aspects that influence learning combine to generate holistic approaches to problem solving. Through the lens of situated cognition, we consider problem solving as a learning phenomenon that involves the interactions between internal cognition of the learner and the external learning environment. Using phenomenography as a methodology, we investigated undergraduate student approaches to problem solving in biology through interviews. We identified five aspects of problem solving (including knowledge, strategy, intention, metacognition, and mindset) that define three …
Help Or Hindrance: Latinx College Graduates’ From Stem Majors Perceptions Of University Culture Following Vincent Tinto’S Theoretical Framework Of Student Persistence, Carmen Gonzalez, Carmen Lucia Gonzalez
Help Or Hindrance: Latinx College Graduates’ From Stem Majors Perceptions Of University Culture Following Vincent Tinto’S Theoretical Framework Of Student Persistence, Carmen Gonzalez, Carmen Lucia Gonzalez
Dissertations
Purpose: The purpose of this phenomenological study was to explore how Latinx college graduates who have achieved STEM degrees perceive the culture of their university and the STEM program they were enrolled in as supporting or not supporting a Latinx college student’s persistence to graduation.
Methodology: A qualitative phenomenological approach was the methodology selected for this study. This phenomenological research captured and described the lived experiences of study participants through interviews and artifacts.
Findings: The findings of this research illustrate (a) Research participants all perceived that creating relationships with STEM program faculty was important in supporting them toward degree completion, …
Examination Of The Delphi Method For Establishing A Quantitative Literacy Framework In Undergraduate Mathematics Course, Emily Elrod, Joo Young Park
Examination Of The Delphi Method For Establishing A Quantitative Literacy Framework In Undergraduate Mathematics Course, Emily Elrod, Joo Young Park
Numeracy
The increased relevancy and importance of quantitative literacy (QL) have called for educational reform in undergraduate mathematics course offerings. However, lack of clear guidelines has led to wide variability in the content and outcomes of math courses meant to address QL. Therefore, having an expert consensus regarding content and outcomes for an undergraduate mathematics course focusing on QL would advance the quantitative literacy initiative in higher education. The authors propose the Delphi Method to aid in developing a framework based on expert opinions. The authors explain the Method and suggest the result of this process should yield a research-based framework …
Family-Centered Theory Of Change: A Conceptual Framework For Improving Teaching And Learning In Undergraduate Stem Courses, Juan Salinas, Parwinder Grewal, Jose J. Gutierrez, Nicolas A. Pereyra, Dagoberto Ramirez, Elizabeth Salinas, Griselda Salinas, Virginia Santanas, Can Saygin
Family-Centered Theory Of Change: A Conceptual Framework For Improving Teaching And Learning In Undergraduate Stem Courses, Juan Salinas, Parwinder Grewal, Jose J. Gutierrez, Nicolas A. Pereyra, Dagoberto Ramirez, Elizabeth Salinas, Griselda Salinas, Virginia Santanas, Can Saygin
School of Integrative Biological and Chemical Sciences Faculty Publications and Presentations
Hispanic-Serving Institutions (HSIs) are often characterized as Hispanic enrolling (rather than serving) that practice deficit-based systems that continue to marginalize Latinx and other underrepresented students, especially in STEM fields. Extant research on HSIs stresses the importance of investigating the value of grassroots advocacy groups as external influencers of institutional servingness through deeper engagement with the Latinx community. Using a novel family-centered theory of change that addresses diversity, equity, and inclusion, we integrated intersectionality and servingness into a family-integrated education serving and transforming academic framework. We investigated the potential transformational impact of this framework on students, families, faculty, and administrators at …
Table Of Contents
Early College Folio
(2023) "Table of Contents," Early College Folio: Vol. 3: Iss. 1, Article 1. Available at: https://digitalcommons.bard.edu/earlycollegefolio/vol3/iss1/1
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Journal of Humanistic Mathematics
Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of mis-steps that could have been avoided with hindsight. An experience with a puzzle illustrates this conflict. The puzzle asks for the probability that a group of four and a group of two are seated adjacently within a hundred seats, and is solved using combinatorics techniques.
Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric
Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric
Numeracy
In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …
Seeing Eye To Eye? Comparing Faculty And Student Perceptions Of Biomolecular Visualization Assessments, Josh T. Beckham, Daniel R. Dries, Bonnie L. Hall, Rarchel M. Mitton-Fry, Shelly Engelman, Charmita Burch, Roderico Acevedo, Pamela S. Mertz, Didem Vardar-Ulu, Swati Agrawal, Kristin M. Fox, Shane Austin, Margaret A. Franzen, Henry V. Jakubowski, Walter R. P. Novak, Rebecca Roberts, Alberto I. Roca, Kristen Procko
Seeing Eye To Eye? Comparing Faculty And Student Perceptions Of Biomolecular Visualization Assessments, Josh T. Beckham, Daniel R. Dries, Bonnie L. Hall, Rarchel M. Mitton-Fry, Shelly Engelman, Charmita Burch, Roderico Acevedo, Pamela S. Mertz, Didem Vardar-Ulu, Swati Agrawal, Kristin M. Fox, Shane Austin, Margaret A. Franzen, Henry V. Jakubowski, Walter R. P. Novak, Rebecca Roberts, Alberto I. Roca, Kristen Procko
Chemistry Faculty Publications
While visual literacy has been identified as a foundational skill in life science education, there are many challenges in teaching and assessing biomolecular visualization skills. Among these are the lack of consensus about what constitutes competence and limited understanding of student and instructor perceptions of visual literacy tasks. In this study, we administered a set of biomolecular visualization assessments, developed as part of the BioMolViz project, to both students and instructors at multiple institutions and compared their perceptions of task difficulty. We then analyzed our findings using a mixed-methods approach. Quantitative analysis was used to answer the following research questions: …
How Mathematicians Characterize And Attempt To Develop Understanding Of Concepts And Definitions In Proof-Based Courses, Rachel Rupnow, Timothy Fukawa-Connelly
How Mathematicians Characterize And Attempt To Develop Understanding Of Concepts And Definitions In Proof-Based Courses, Rachel Rupnow, Timothy Fukawa-Connelly
Faculty Peer-Reviewed Publications
Mathematics education research has long focused on students’ conceptual understanding, including highlighting conceptions viewed as problematic and looking for ways to develop more desirable conceptions. Nevertheless, limited research has examined how mathematicians characterize understanding of concepts and definitions or promote activities beneficial for students. Based on interviews with 13 mathematicians, we present thematic characterizations of what it means to understand a concept and definition, highlight activities mathematicians believe assist students’ learning, and examine their reasons for promoting these activities.
Results include mathematically grounded descriptions of what it means to understand a concept but general descriptions of approaching and supporting learning. …