Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Virginia Commonwealth University (419)
- Claremont Colleges (75)
- University of South Florida (26)
- Dordt University (14)
- Andrews University (12)
-
- Kennesaw State University (12)
- Fort Hays State University (11)
- Sacred Heart University (8)
- Rochester Institute of Technology (6)
- Minnesota State University, Mankato (5)
- Virginia Community College System (4)
- Olivet Nazarene University (3)
- Embry-Riddle Aeronautical University (2)
- Fayetteville State University (2)
- United Arab Emirates University (2)
- University of Denver (2)
- University of Louisville (2)
- Butler University (1)
- Georgia Academy of Science (1)
- Governors State University (1)
- Kansas State University Libraries (1)
- Nova Southeastern University (1)
- Regis University (1)
- South Dakota State University (1)
- Southern Illinois University Carbondale (1)
- St. Mary's University (1)
- Stephen F. Austin State University (1)
- Syracuse University (1)
- Technological University Dublin (1)
- University of Central Florida (1)
- Keyword
-
- Quantitative literacy (13)
- Quantitative reasoning (13)
- Mathematics (12)
- Higher education (8)
- Interdisciplinary (8)
-
- Numeracy (7)
- STEM (7)
- Cybersecurity (6)
- Education (6)
- Collaboration (5)
- Creation (5)
- Mathematics education (5)
- Online learning (5)
- Science (5)
- Chemistry (4)
- Communication (4)
- Mathematics specialist (4)
- Problem solving (4)
- SUMMIT-P (4)
- Accessibility (3)
- College students (3)
- Creativity (3)
- Cybersecurity education (3)
- Equity (3)
- Higher Education (3)
- Interdisciplinary collaboration (3)
- Leadership (3)
- Mathematics specialists (3)
- STEAM (3)
- STEM education (3)
- Publication Year
- Publication
-
- Journal of Mathematics and Science: Collaborative Explorations (419)
- Humanistic Mathematics Network Journal (58)
- Numeracy (25)
- Journal of Humanistic Mathematics (16)
- Pro Rege (14)
-
- Andrews Agenda: Campus News (12)
- Journal of Cybersecurity Education, Research and Practice (12)
- SACAD: John Heinrichs Scholarly and Creative Activity Days (11)
- School of Computer Science & Engineering Faculty Publications (8)
- Journal of Science Education for Students with Disabilities (5)
- Journal of Undergraduate Research at Minnesota State University, Mankato (5)
- Inquiry: The Journal of the Virginia Community Colleges (4)
- ELAIA (3)
- DU Undergraduate Research Journal Archive (2)
- Journal of Research Initiatives (2)
- The Cardinal Edge (2)
- The Journal of Electronic Theses and Dissertations (2)
- Artizein: Arts and Teaching Journal (1)
- Butler Journal of Undergraduate Research (1)
- Current Issues in Emerging eLearning (1)
- Euleriana (1)
- Excelsior: Leadership in Teaching and Learning (1)
- FDLA Journal (1)
- Georgia Journal of Science (1)
- Interface: An International Interdisciplinary Studies Journal (1)
- International Journal of Geospatial and Environmental Research (1)
- Jesuit Higher Education: A Journal (1)
- Journal of Aviation/Aerospace Education & Research (1)
- Journal of Digital Forensics, Security and Law (1)
- Journal of Environmental Sustainability (1)
Articles 1 - 30 of 624
Full-Text Articles in Higher Education
“Don’T Call On Me!”: Mediating Preservice Elementary Teachers’ Mathematics Anxiety In A Problem-Based Classroom, Christina Koehne, Wenyen Huang, Nataly Chesky
“Don’T Call On Me!”: Mediating Preservice Elementary Teachers’ Mathematics Anxiety In A Problem-Based Classroom, Christina Koehne, Wenyen Huang, Nataly Chesky
Excelsior: Leadership in Teaching and Learning
This study aims to understand the ways in which problem-based teaching in a mathematics content course can alleviate pre-service elementary school teachers' mathematics anxiety. The significance of this work is to help increase the content and pedagogical knowledge of mathematics education, as outlined in STEM policies. Using a mixed method approach, the teachers-researchers explore what methods, procedures, and other perhaps unknown variables, helped pre-service elementary teachers decrease their mathematics anxiety during two mathematics content courses. The findings illuminate five major themes the authors discuss, which are illustrated by rich descriptions of students’ narratives and interviews. Given the importance of mathematics …
Computational Modeling Of Retinal Damage Thresholds, Payton Hoffman, Eos Shapland, Alan Enriquez
Computational Modeling Of Retinal Damage Thresholds, Payton Hoffman, Eos Shapland, Alan Enriquez
SACAD: John Heinrichs Scholarly and Creative Activity Days
The Scalable Effects Simulation Environment(SESE), is the computational Biophysics software contracted by Nanohmics we used for our research. The goal was to find the minimum energy necessary to damage the retina from 2 laser sources, a 532 nm He-Ne source, and Supercontinuum Laser(SCL) source at 400-1400nm. We needed a 10 times damage ratio for significance. Our data did not show this trend.
Glacial Resource Analysis – Castner Glacier, Alaska, Logan Erichsen
Glacial Resource Analysis – Castner Glacier, Alaska, Logan Erichsen
SACAD: John Heinrichs Scholarly and Creative Activity Days
Glaciers cover much of the 49th U.S. state of Alaska. While many of these are deep blues, just as many are “rock” glaciers which means the glacier is covered in sediment. This sediment can be transported many miles through the mountain ranges. With the current climate melting these glaciers they are receding. Sediment and rock samples can now be safely collected from different locations where glaciers have released sediment that was locked in the ice for an untold number of years. Much of the USGS data comes from the 1940’s through 1960’s due to the size and remoteness of Alaska. …
Climatology Of Tornadoes In Kansas, John P. Wasinger, Todd Moore
Climatology Of Tornadoes In Kansas, John P. Wasinger, Todd Moore
SACAD: John Heinrichs Scholarly and Creative Activity Days
Recent studies report changes to the climatology of tornadoes in the United States (US). Changes with the most supporting evidence include an increase in the intra- and inter-annual variability, increased concentration of tornadoes in bigger outbreaks, and a geographic shift of the densest tornado activity away from Tornado Alley in the Great Plains and toward the Great Lakes and Southeast regions of the US. Broad, national-level changes are valuable, but they can mask changes occurring at the state and sub-state levels where mitigation efforts are most effective. Kansas is of interest due to its reputation as a hotbed of tornado …
Volcanic Ash In Lincoln County, Kansas, Logan Erichsen
Volcanic Ash In Lincoln County, Kansas, Logan Erichsen
SACAD: John Heinrichs Scholarly and Creative Activity Days
This report outlines the analysis of Pearlette volcanic ash in Lincoln County Kansas. Both field and lab methods were used to compile this report. Fort Hays State University alumni Dr. Ron Whitmer allowed use of his property on which the ash is found. Auguring was utilized as the main form of field work which allowed mapping of the subsurface ash layer. The ash was analyzed by UMKC using their scanning electron microscope (SEM). At Fort Hays, the SEM reports were compared to thin sections of the ash using plane and cross polarized light in petrographic microscopes. The ash is comprised …
Kinetic Controlled-Growth Synthesis Of Cadmium Selenide Nanocrystal Quantum Dots, Aiden Gideon, Maverick Flax
Kinetic Controlled-Growth Synthesis Of Cadmium Selenide Nanocrystal Quantum Dots, Aiden Gideon, Maverick Flax
SACAD: John Heinrichs Scholarly and Creative Activity Days
A kinetic controlled growth method has been used to synthesize cadmium selenide (CdSe) nanocrystals. Nanocrystal structures are consistent with that of a quantum dot. Ligand passivation on the surface of the micelle is best carried out using trioctylphosphine (TOP). This allows one to tune the particle surface chemistry. Quantum dots intersperse as colloids within the 1-octadecene solvent matrix. The color gradient observed among the samples is indicative of its dependence on particle size which is consistent with the “particle-in-a-box” model theory. Results also indicate that the particle size of these nanocrystals is dependent on reaction time and maybe dependent on …
Float Like A Butterfly, Sting Like A Bee!, Kobe D. Rome
Float Like A Butterfly, Sting Like A Bee!, Kobe D. Rome
SACAD: John Heinrichs Scholarly and Creative Activity Days
By injecting an electron into the empty pie* molecular orbital (LUMO) of Amino Acids in gas phase, we measure the Vertical Attachment Energies (VAEs) for the formation of short-lived anion states of these species using electron transmission spectroscopy (ETS). Our ETS study, a first of its kind to measure the VAE for the simplest of proteins, Glycine-Glycine (Gly-Gly), is currently in progress. Based on our previous measurements for several Amino Acids including Glycine, we expect a common range of attachment energy (1.50 – 2.00 eV) for Gly-Gly.
Software Based Approach To Realtime Sports Graphics, Honesty Beaton
Software Based Approach To Realtime Sports Graphics, Honesty Beaton
SACAD: John Heinrichs Scholarly and Creative Activity Days
My research presents a software-based approach to real-time sports graphics, leveraging Unity, C#, and OpenCV. We aimed to enhance viewer engagement by providing dynamic and interactive graphics during sports broadcasts. My method involves real-time analysis of video feeds to cut out players, place them onto a virtual court, and underlay immersive visuals, giving the appearance that virtual visuals physically exist beneath a player. Evaluation of this approach demonstrates the effectiveness of utilizing a software-based approach for real-time sports graphics, akin to traditional hardware-based solutions
Simulating Continuous Gravitational Waves, Ivan Mihael Villalba Moran
Simulating Continuous Gravitational Waves, Ivan Mihael Villalba Moran
SACAD: John Heinrichs Scholarly and Creative Activity Days
Using a table-top Michelson Interferometer to replicate Laser Interferometer Gravitational-Wave Observatory (LIGO) arrangement, we use sound waves to simulate Continuous Gravitational Waves (CWs). Using the NumPy package in Python programming, we recover the frequency of the injected sinusoidal signal using the mathematics of the Fourier Transform. Currently, we are trying to implement the Hidden Markov Model along with the Viterbi Algorithm as a method to detect Wandering Continuous Gravitational Waves.
Game 'Make 24', Seunghyeok Jang
Game 'Make 24', Seunghyeok Jang
SACAD: John Heinrichs Scholarly and Creative Activity Days
-
Basic numerical skills are a must-have in today’s world. However, children are not picking up the four basic numerical skills adequately.
-
To improve their mathematical skills, they need a way to learn the numerical skills easily.
-
"Make 24" is a game for young children who are having a difficult time with basic numerical operations. The game helps children improve their numerical skills by playing this game.
Igniting Passion: A Detailed Journey Through Rocketry Course Activities, Krish M. Patel, Hannah Caycedo, Joshua Gage, Josi Maness, Kevin Park, Mufeng Shen
Igniting Passion: A Detailed Journey Through Rocketry Course Activities, Krish M. Patel, Hannah Caycedo, Joshua Gage, Josi Maness, Kevin Park, Mufeng Shen
SACAD: John Heinrichs Scholarly and Creative Activity Days
This course is a semester-long adventure in rocketry, led by Dr. Paul Adams. It covers everything about building and flying rockets, starting from the basics to more advanced rocketry. Students learn how to build rockets and use equipment used I payload systems like and altimeter and a GPS. We also learned about the importance of safety involved with building and launching rockets.
Subsurface Mapping Of Intra-Arbuckle Shale In North-West Kansas Using Well Log Data, Cole M. Denny
Subsurface Mapping Of Intra-Arbuckle Shale In North-West Kansas Using Well Log Data, Cole M. Denny
SACAD: John Heinrichs Scholarly and Creative Activity Days
The aim of this research was to enhance knowledge of Intra-Arbuckle Shale (IAS) distribution and structure through new maps, cross sections, and well log correlations. Understanding the shale(s) ultimately advances the discernment of complex Arbuckle reservoirs that are critical to the Kansas petroleum industry. IAS has been intercepted by oil wells throughout Kansas, but this study focuses on their presence in portions of Ellis, Rooks, Graham, and Trego counties. To study the distribution and structure of IAS, data from micro-resistivity and gamma ray well logs were collected from more than three hundred Arbuckle oil and gas wells. On each well …
Survey Of The Performance Of 5 Nm Goldnanoparticles Within An Ssdna-Stabilizedbiosensor For The Detection Of Hg2+, Madalyn J. Zagajowski
Survey Of The Performance Of 5 Nm Goldnanoparticles Within An Ssdna-Stabilizedbiosensor For The Detection Of Hg2+, Madalyn J. Zagajowski
ELAIA
The formation of a fluorescent biosensor complex consisting of 5 nm diameter gold nanoparticles (AuNPs) and single-stranded DNA (ssDNA) was conducted using a low-cost, efficient binding method. The analytical potential for the complex to detect mercuric ions (Hg2+) in an aqueous solution was assessed through the collection of UV-vis and fluorescence spectrometry data for the AuNP-ssDNA complex. The researcher aimed to investigate this potential in case the nanoparticles formed utilizing this method were too small to result in detectable fluorescence. To eliminate this possibility, the complex synthesized from this specific method was qualitatively evaluated to determine if it consistently and …
Preprocessing Of Astronomical Images From The Neowise Survey For Near-Earth Asteroid Detection With Machine Learning, Rachel Meyer
Preprocessing Of Astronomical Images From The Neowise Survey For Near-Earth Asteroid Detection With Machine Learning, Rachel Meyer
ELAIA
Asteroid detection is a common field in astronomy for planetary defense, requiring observations from survey telescopes to detect and classify different objects. The amount of data collected each night is continually increasing as new and better-designed telescopes begin collecting information each year. This amount of data is quickly becoming unmanageable, and researchers are looking for ways to better process this data. The most feasible current solution is to implement computer algorithms to automatically detect these sources and then use machine learning to create a more efficient and accurate method of classification. Implementation of such methods has previously focused on larger …
Analysis Of Botulinum Toxin A And Interacting Proteins In Skeletal Muscle Cells: An Investigation Into The Mechanisms Of Botulinum Toxin A As A Treatment For Chronic Exertional Compartment Syndrome, Lauren R. Kee
ELAIA
Background Chronic exertional compartment syndrome (CECS) is a condition in which muscle tissue expands against the surrounding fascia during activity and is compressed along with the nerves and blood vessels within the muscle compartment, leading to abnormally high intracompartmental pressure (ICP) and debilitating pain. Treatment typically includes fasciotomy, which results in significant levels of CECS recurrence; however, botulinum toxin A (BoNT-A) injection has recently been seen to decrease both ICP and pain through an unknown mechanism with little to no recurrence. Methods In this study, PyRosetta was used to model the probability of docking interaction between BoNT-A light or heavy …
University Of Johannesburg Institutional Repository Cybersecurity Output: 2015-2021 Interdisciplinary Study, Mancha J. Sekgololo
University Of Johannesburg Institutional Repository Cybersecurity Output: 2015-2021 Interdisciplinary Study, Mancha J. Sekgololo
Journal of Cybersecurity Education, Research and Practice
This study examines cybersecurity awareness in universities by analyzing related research output across different disciplines at the University of Johannesburg. The diffusion of innovation theory is used in this study as a theoretical framework to explain how cybersecurity awareness diffuses across disciplines. The University of Johannesburg Institutional Repository database was the data source for this study. Variations in cybersecurity keyword searches and topic modeling techniques were used to identify the frequency and distribution of research output across different disciplines. The study reveals that cybersecurity awareness has diffused across various disciplines, including non-computer science disciplines such as business, accounting, and social …
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.
The International Crisis In Numeracy Education, Nathan D. Grawe
The International Crisis In Numeracy Education, Nathan D. Grawe
Numeracy
The OECD recently released results from the 2022 administration of the Programme for International Student Assessment test. As other studies suggest, pandemic mitigation policies resulted in deep learning loss including in basic mathematics which forms the foundation of numeracy. Perhaps of greater concern, however, in many countries pandemic effects amplify declining performance that dates back a decade or more. Losses of two or more years' worth of mathematics education are not uncommon among developed countries. The editorial makes an urgent call for research that identifies practical steps to reverse these trends.
Infusing Quantitative Reasoning Skills Into A Differential Equation Class In An Urban Public Community College, Tanvir Prince
Infusing Quantitative Reasoning Skills Into A Differential Equation Class In An Urban Public Community College, Tanvir Prince
Numeracy
This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals using real-world data sets, particularly those related to population growth, which aim to enhance their understanding, sharpen their problem-solving abilities, and cultivate a positive perspective on the real-world relevance of mathematics. Preliminary findings indicate varied levels of QR skill development among students. These results underscore the potential benefits of …
Full Issue
Journal of Mathematics and Science: Collaborative Explorations
No abstract provided.
Reconciling Calculus Students’ Understanding Of Average Across Multiple Contexts, Franklin Yu
Reconciling Calculus Students’ Understanding Of Average Across Multiple Contexts, Franklin Yu
Journal of Mathematics and Science: Collaborative Explorations
The idea of average is utilized in a variety of scenarios, yet the literature has indicated that students have multiple disconnected understandings for the concept of average. In this study, I provide an account of two students who reconciled their meanings for average by considering an average as a replacement with a constant value. This report discusses an intervention that teachers can leverage to help their students make their meanings for average coherent and conceptually based.
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Journal of Mathematics and Science: Collaborative Explorations
In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem- and project-based learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a high-quality problem should have. We conclude with an example of a problem that possesses all seven properties.
Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean
Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean
Journal of Mathematics and Science: Collaborative Explorations
With overall positive results and limited drawbacks, I have adapted modern pedagogical techniques to address a common difficulty encountered when teaching a computer networks course. Due to the tiered nature of the skills taught in the course, students often fail unnecessarily. Using mastery learning, competency-based education, and specifications grading as a foundation, I have developed a course that allows students with varied skills and abilities to pass. The heart of this approach is the flexible assessment of programming assignments which eliminates due dates and allows students to have their work graded and regraded without penalty. Flexible assessment also defines an …
Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner
Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner
Journal of Mathematics and Science: Collaborative Explorations
This paper describes the creation of a collaborative research team investigating the impacts of education preparation on the recruitment and retention of science and mathematics teacher candidates in rural settings. Our collaborative research includes a core leadership team across 3 institutions and with collaboration across 14 total universities. We discuss the process from the inception through year two of this program, including the structure of leadership, communication techniques with the large group, and efforts to translate this research into scalable action. Using a framework for transdisciplinary research (Hall et al., 2012), we describe the processes and challenges that we encountered …
Integrating Certifications Into The Cybersecurity College Curriculum: The Efficacy Of Education With Certifications To Increase The Cybersecurity Workforce, Binh Tran, Karen C. Benson, Lorraine Jonassen
Integrating Certifications Into The Cybersecurity College Curriculum: The Efficacy Of Education With Certifications To Increase The Cybersecurity Workforce, Binh Tran, Karen C. Benson, Lorraine Jonassen
Journal of Cybersecurity Education, Research and Practice
One only needs to listen to the news reports to recognize that the gap between securing the enterprise and cybersecurity threats, breaches, and vulnerabilities appears to be widening at an alarming rate. An un-tapped resource to combat these attacks lies in the students of the secondary educational system. Necessary in the cybersecurity education is a 3-tiered approach to quickly escalate the student into a workplace-ready graduate. The analogy used is a three-legged-stool, where curriculum content, hands-on skills, and certifications are equal instruments in the edification of the cybersecurity student. This paper endeavors to delve into the 3rd leg of …
Exploring Network Security Educator Knowledge, Jennifer B. Chauvot, Deniz Gurkan, Cathy Horn
Exploring Network Security Educator Knowledge, Jennifer B. Chauvot, Deniz Gurkan, Cathy Horn
Journal of Cybersecurity Education, Research and Practice
It is critical for nations to have trained professionals in network security who can safeguard hardware, information systems, and electronic data. Network security education is a key knowledge unit of the National Centers of Academic Excellence in Cybersecurity and various information systems security curricula at the master's and bachelor's levels in higher education. Network security units are components of computer science curricula in high school contexts as well. Educators who teach these concepts play a significant role in developing a skilled workforce of network security experts for both governmental and non-governmental organizations. Understanding the necessary knowledge and skills of network …
Exploring Students’ Epistemological Understanding Of Atomic Structure Models, Claire V. Ward, Morgan Balabanoff
Exploring Students’ Epistemological Understanding Of Atomic Structure Models, Claire V. Ward, Morgan Balabanoff
The Cardinal Edge
Developing a robust understanding of atomic structure and the nature of matter is foundational across chemistry and STEM courses. The development of this concept is challenging because it relies on models to illustrate something not directly observable. Scientific models are important tools used to explain phenomena, particularly phenomena that are not directly observable. In general chemistry, students are typically asked to consider four different models: (1) the particle model, (2) the nuclear model, (3) the Bohr model, and (4) the Quantum model. Each depiction has its own advantages and limitations, where instructors introduce each model to explain specific parts of …
Exploring Retrieval Difficulties And Self-Confidence In An Assessment Of General Chemistry Students, Karen Julian, Morgan Balabanoff
Exploring Retrieval Difficulties And Self-Confidence In An Assessment Of General Chemistry Students, Karen Julian, Morgan Balabanoff
The Cardinal Edge
Developing self-assessment skills is an important aspect of learning. Framed by assessment developed for the year-long sequence of general chemistry, students were asked to rate their ability to answer conceptual questions. Using cognitive interviews, this study revealed that people rely on a range of characteristics other than content knowledge to assess their confidence, including doubt, retrieval difficulty, and test-taking methods. These findings imply that more explicit instruction may be required to encourage correct self-assessment. Students can develop their metacognitive skills and calibrate their perceived ability by completing examinations meant to emphasize content knowledge gaps.
B/Lv Laboratory Accessibility Technology Adapted For Neurodiverse Chemistry Students, Christin B. Monroe
B/Lv Laboratory Accessibility Technology Adapted For Neurodiverse Chemistry Students, Christin B. Monroe
Journal of Science Education for Students with Disabilities
Text-to-speech technology is a common accommodation available for students with disabilities. Despite the ubiquitous nature of text-to-speech, this technology has not been explored in laboratory settings for neurodiverse college students. This study explores the adaptability of laboratory accessible text-to-speech technology (originally developed for blind/low vision (B/LV) students) for neurodiverse students. Students were asked to provide general feedback about the usability and effectiveness of the technology using Likert surveys. The students also answered open-ended questions about how the technology could be adapted to be more neurodiverse friendly. Overall, more than 50% of the students found the technology useful but had specific …
“I Got You”: Centering Identities And Humanness In Collaborations Between Mathematics Educators And Mathematicians, Anne M. Marshall, Sarah Sword, Mollie Applegate, Steven Greenstein, Terrance Pendleton, Kamuela E. Yong, Michael Young, Jennifer A. Wolfe, Theodore Chao, Pamela E. Harris
“I Got You”: Centering Identities And Humanness In Collaborations Between Mathematics Educators And Mathematicians, Anne M. Marshall, Sarah Sword, Mollie Applegate, Steven Greenstein, Terrance Pendleton, Kamuela E. Yong, Michael Young, Jennifer A. Wolfe, Theodore Chao, Pamela E. Harris
Journal of Humanistic Mathematics
Existing literature widely reports on the value of collaborations between mathematicians and mathematics educators, and also how complex those collaborations can be. In this paper, we report on four collaborations that sought to address what mathematics is and who gets to do it. Drawing on the literature and from the careful and intentional work of the collaborators, we offer a framework to capture the richness of those collaborations – one that acknowledges the importance of acknowledging and welcoming the extensive personal and professional experience of each person involved in the collaboration – and a look at how collaborations built with …