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This article describes the outcomes of a faculty partnership between a math professor and a composition professor to improve the final paper in a research-focused senior capstone math course. Much attention has been paid in recent years to the importance of undergraduate research experiences and how to best create and support such endeavors. However, little space has been dedicated to helping math faculty design and scaffold writing assignments to support their students' development as scholars. We describe how our partnership took place, the changes we made to existing assignments and the creation of new ones, and an assessment of our efforts completed by an interdisciplinary group of faculty and students, which showed marked improvement in the areas of information literacy, critical thinking, and quality of writing. [ABSTRACT FROM AUTHOR]

The Mathematical Sciences Department at Shenandoah University focused on increasing the participation of women in the mathematics program by fostering a welcoming learning community and promoting double majors. Data from the past decade is presented. During this time, the program saw an increase in women undergraduate mathematics majors from 11% to as high as 71%. This paper describes the initiatives taken to make these changes. [ABSTRACT FROM AUTHOR]

The University of Minnesota Talented Youth Mathematics Program (UMTYMP) is a selective, five-year accelerated mathematics program for students in grades 6–12. During the program, students take college mathematics courses on University of Minnesota campuses, starting with algebra and continuing through logic and proofs, linear algebra, and multivariable calculus. The majority of UMTYMP students come from two demographic groups: White and Asian/Asian American. In 2020, we surveyed UMTYMP students to understand the impact of model minority stereotypes (MMS) on Asian/Asian American students, particularly girls, who are labeled as "gifted" and/or "talented." In this paper, we reveal the preliminary results of this study, discuss their implications, and provide recommendations for addressing the MMS in mathematics programs. [ABSTRACT FROM AUTHOR]

This paper discusses several linear algebra activities designed to help enhance students' skills in collaborating, exploring mathematics, and linking together abstract and visual ways of approaching mathematics. Most of these activities are short, accessible, engaging, and easy to incorporate into any classroom. In addition, we discuss some questions instructors can ask themselves to design novel and engaging activities when constrained to teaching from a particular curriculum. [ABSTRACT FROM AUTHOR]

This paper describes the implementation of a STEM scholarship program which utilized a holistic approach to providing a multi-dimensional student support system. The program has been successful in encouraging and supporting women in Applied Mathematics and Computer Science by offering a diverse suite of extracurricular opportunities, actively engaging them in organized events, research projects, and participation in STEM communities, and helping them achieve higher GPAs and shorter times to graduation. The supported women also benefitted from close mentoring relationships with the faculty mentors. The program emphasized the development of empowering settings for women's engagement and achievement, which act to sustain and expand interest in mathematics and computing, and thereby help them to see themselves as future professionals in the field. [ABSTRACT FROM AUTHOR]

Mathematics is not just the queen of the sciences; it permeates through art, commerce, and in fact, every aspect of modern life. However, while we as mathematicians see beauty in the mathematical way of thinking and problem-solving, our students tend to think of mathematics as a set of rules and abstract computations. Our pleasure of doing mathematics usually does not transfer over to our students. In this paper, we describe two liberal arts general education courses which seek to develop a broad appreciation of mathematics for students who may not require any technical mathematics course for their academic major or chosen career path. We present mathematics as it relates to everyday life, with the goal of improving student appreciation of mathematics. [ABSTRACT FROM AUTHOR]

With this paper, we share an activity for the undergraduate mathematics classroom called The Harp Project that leverages the aesthetic nature of both the mathematical and the musical arts. This project was conceived as a STEAM/PBL project with the added feature that it was carried out in pieces by an entire class. Anecdotal evidence suggests that the uncommonly high level of students' interest and engagement in the experience and the communal feel of their participation can be attributed to this collective quality of the project's design. For this reason, we invite others to consider this curricular experience as it appears viable for supporting efforts to cultivate a broader population of students with an affinity for mathematics. [ABSTRACT FROM AUTHOR]

This paper presents ideas for constructing mathematics homework assignments based on lessons from the cognitive science of learning and memory. In particular, we focus on two popular techniques from the field: spaced practice and mixed practice. The paper describes the techniques and supporting research, and then discusses various straightforward ways to incorporate them into mathematics instruction via homework assignments. The ideas presented can be applied at virtually any level of instruction and may be of interest to educators looking to implement research-based practices from cognitive science. [ABSTRACT FROM AUTHOR]

In this paper, I share an activity that reinforces students' understanding of translations, reflections, and rotations via body movement. As a result of this activity, students gain a different perspective compared to previous explorations on paper, communicate mathematics, and visualize transformations as rigid motions on the plane. Furthermore, the combination of sensation and perception helped some students assess whether their work was correct. [ABSTRACT FROM AUTHOR]

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this course to build students' mathematical thought processes and toolbox, ability to analyze and evaluate mathematical models, mathematical modeling skills, and teamwork skills. The course described is intended as an upper division undergraduate course with a prerequisite of differential equations. [ABSTRACT FROM AUTHOR]

This paper presents a series of basic computational problems that are mathematically and/or graphically appealing, and provides an idea of places one might go in trying to understand what is happening, integrating mathematics, computation, and graphics. The real point of this paper is to make a case, through those examples, for computation as an early and integral part in the undergraduate mathematics curriculum. By computation we mean the ability to rapidly and easily program exploratory calculations, and as well display the results with a versatile suite of graphics capabilities. The problems used here, and the philosophy behind them, derive from a MATLAB-based course in computation, programming, and mathematical applications that the author has taught for over 10 years. [ABSTRACT FROM AUTHOR]

In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures" and "teaching concepts" and think about implications for professional development. We then use our personal stories to illustrate that our beliefs and attitudes matter when we want to improve our teaching. Bringing both of these perspectives together, we showcase activities we created for inquiry-based learning (IBL) workshops for faculty. Finally we discuss feedback received from workshop participants. [ABSTRACT FROM AUTHOR]

The design and initial implementation of a project-based directed study course in mathematical research and communication is described. The intention of the course is to expose students to the foundation of mathematical research through inquiry-based learning. Students are asked to approach an exercise in topology as though it is an open problem. At the end of the semester, students are also required to prepare and deliver a presentation on their work from the semester. [ABSTRACT FROM AUTHOR]

In summer 2013, Manhattan College introduced an online summer "bridge to calculus" course for incoming first-year students in science, engineering, and mathematics education who marginally did not receive a calculus recommendation based on a mathematics placement test. In this paper, we describe the development of the bridge course and demonstrate statistically that this course continues to prepare its students for Calculus at a level comparable to those who took a full semester of Precalculus, yet at a significantly lower cost in terms of both time and money. [ABSTRACT FROM AUTHOR]

In this paper, we briefly introduce three theoretical frameworks for mathematical identity and why they matter to practitioners teaching undergraduate mathematics courses. These frameworks are narrative identities, communities of practice, and figured worlds. After briefly describing each theory, we provide examples of how each framework can be used to interpret or inform classroom discourses by applying the framework to a selected transcript from a student-centered mathematics project called the Catwalk problem. We summarize how an awareness of students' forming mathematical identities can be used positively in the undergraduate classroom to help educators support students to form productive mathematical identities. [ABSTRACT FROM AUTHOR]

In this paper, we assess the pedagogical approaches we employ in our US-based undergraduate mathematics courses during the COVID-19 pandemic. Our goal is to share anecdotal evidence on the use of math journals, oral exams, and learning portfolios in the synchronous online mathematics classroom. We reflect on our experience using artifacts of student materials, feedback, and dialogues. [ABSTRACT FROM AUTHOR]

We now know how best to teach our students – student-centered learning. Yet many of us face challenges when trying to design courses that are student-centered. In this paper, we present our experience with a Web 2.0 technology, VoiceThread, that has helped us address some of the challenges we have encountered when designing student-centered classrooms. We share our VoiceThread activities, and we discuss how mathematics educators and mathematicians can continue studying how to effectively use VoiceThread in face-to-face, blended, and online math courses. [ABSTRACT FROM AUTHOR]

This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into courses that serve a general mathematics major is one strategy for addressing mathematics teacher preparation. We developed lessons using four guiding features: choosing appropriate content; making school mathematics connections; incorporating active learning; and providing robust lesson notes. Our interview-based findings document how the lessons were used by instructors and analyze the mathematical ideas and understandings that arose from the use of the lessons at two different sites. [ABSTRACT FROM AUTHOR]

Mathematics education faculty working in mathematics departments are commonly involved in teaching undergraduate mathematics courses, teaching and supervising postgraduate students of mathematics education, and developing mathematics teachers (pre-service and/or in-service). This paper proposes a new elective course that can be taken by either undergraduate mathematics majors or by graduate teaching assistants pursuing degrees in mathematics and teaching undergraduates themselves. Twenty-eight topics are suggested, and the rationale for each is briefly described. Offering such a course provides different opportunities for students; for example, familiarizing them with effective ways to teach and learn mathematics, which has the potential to improve their effectiveness as tutors within the department. A similar course has been successfully taught to undergraduate students majoring in mathematics at an Iranian university for nearly two decades. [ABSTRACT FROM AUTHOR]

Teaching Mathematics to tertiary students can be a challenge to educators, mainly because they must deal with learners' varying levels of readiness. Some of the factors attributing to the variability are learners' perceptions of mathematics, their previous learning experiences, and fear of failure. We implemented a teaching approach to facilitate student ownership through active peer involvement and flexibility with assessments. In this paper, we analyze students' perceptions of learning mathematics when using the new approach for three consecutive semesters. We discuss the results of our study and the factors that helped students overcome their inhibitions and appreciate mathematical concepts. [ABSTRACT FROM AUTHOR]

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees, food webs, networks), cellular automata (pattern formation, diffusion limited aggregation), fractals (both measurement and generation of self-similar structures), finite difference equations and deterministic chaos (logistic growth, predator–prey, SIR epidemiology), combinatorics and probability (genetics and evolution), information theory (biodiversity, sequence logos), and Boolean logic (operons) are available to adopt, adapt, and implement. An emphasis has been placed on modules that are freely available, that have been educationally vetted, and that run on a variety of operating systems. Most modules are easy to use, graphically visual, and amenable to modification. In this paper, two different approaches are stressed: (1) "glass box models" that allow students to see equations associated with each cell in a spreadsheet and to modify/extend those models with minimal effort; and (2) agent-based models that emphasize "bottom-up" modeling and that instantiate the power of massively parallel simulation and address the misconceptions of a "centralized mind-set." [ABSTRACT FROM AUTHOR]

In the fall of 2009 and in the spring of 2012, supported by the National Institute of General Medical Sciences (NIGMS) in the National Institutes of Health (NIH), we designed a course "Phylogenetic Analysis and Molecular Evolution" (PAME), the first cross-listed course across three different colleges (College of Arts and Sciences, College of Engineering, and College of Agriculture). This course was the first at the author's university. The course will be made available to graduate students and advanced undergraduate students in biology and computer science, and undergraduate student in statistics and mathematics at regional universities and colleges. The graduate students will learn how to gather sequence data, use bioinformatics tools, and analyze biological data using mathematics and statistics throughout the project. In this paper, we propose an online course on PAME facilitated with the statistical software RStudio on Amazon Web Service (AWS). [ABSTRACT FROM AUTHOR]

We introduce a ruler and compass activity designed around Islamic Geometry and provide a detailed description of the various components of the activity along with ideas for students exhibitions in both digital and print form. In our experience, this activity helps students to "buy into" actively doing mathematics, making it an ideal choice for an introduction to inquiry-based learning practices. Our hope is that this paper serves as a resource to both new and experienced facilitators of an inquiry-based classroom to help make their ruler and compass activities more joyful. [ABSTRACT FROM AUTHOR]

Mastery-grading techniques such as mastery-based grading, specifications grading, and standards-based grading are assessment techniques professors are implementing in order to support a growth mindset of learning, decrease test anxiety, and help students develop a deeper understanding of course objectives. In this paper, we provide an analysis of research conducted in a variety of courses which used mastery-based testing (MBT). Some of the questions we explore include whether the students' attitudes about mathematics and learning changed throughout the course in addition to whether MBT impacted test anxiety and growth mindset. [ABSTRACT FROM AUTHOR]

Nationwide, many students fail to complete the key mathematics courses that are required for most STEM majors, including Precalculus. This paper describes the rationale, implementation, and impact of the redesign of Precalculus at one regional west coast institution. Prior to the redesign, pass rates in Precalculus were modest (75.8% of all students, calendar years 2009–2014). The redesigned course emphasizes active learning including group work based on conceptual questions and utilizes standards-based grading with a supporting emphasis on growth mindset. In the first three semesters of implementation, 88% of students passed the redesigned course. While the authors focus on the redesign of a Precalculus course, it is our hope that instructors of other core mathematics courses for STEM majors may find information of value in this work. [ABSTRACT FROM AUTHOR]

Drawing on a social identity framework of mathematical development, the authors present a model, Improving Girls' Math Identity (IGMI), designed to address two key "leaks" in the female STEM pipeline: undergraduate and middle school. IGMI involves a supportive professional development network for undergraduate women preparing to transition into mathematics-related careers, and a mentorship program connecting middle school girls with these undergraduates to develop metacognition, problem-solving, and spatial skills. Preliminary evidence demonstrates that the model successfully strengthens undergraduates' problem-solving abilities, improves resilience and persistence in pursuing STEM fields, and increases investment in supporting future cohorts of women in mathematics and science. [ABSTRACT FROM AUTHOR]

Math Girls $ \mathbb {R} $ R ock! is a year-long, two-tiered mathematics mentoring program that prepares female undergraduate mentors to facilitate high school girls' engagement in challenging mathematics concepts through a dynamic after-school program. In this article, we describe the distinct educational component of this program in which female faculty members mentor female undergraduate mathematics and mathematics education students in researching and developing the content to be presented at the high schools. In addition, we discuss some of the feedback collected from program participants about various aspects of this program relating to the involvement of the undergraduate students. In conclusion, we share advice for those interested in starting and running similar outreach programs. [ABSTRACT FROM AUTHOR]

The number of undergraduates placing into developmental or "remedial" coursework continues to increase. This rise is concerning because developmental or "remedial" coursework creates barriers for many students. This mixed method study examines a holistic approach to placement. After one-on-one interviews with mathematics faculty, students (N = 8) within two points of passing our mathematics placement test (MPT) were given the opportunity to enroll in college-level coursework (Business Calculus) instead of the developmental coursework (Algebra). There were no significant differences in final exam and course grades between these students and those who initially placed into the course. Additionally, the qualitative data revealed many common themes and future ideas for intervention. [ABSTRACT FROM AUTHOR]

We present a system for math placement and intervention that pairs ALEKS PPL with an online, standards-based "bridge" course designed to prepare students interested in STEM for PreCalculus. To determine the efficacy of this system we studied ALEKS PPL placement scores, bridge course grades, ALEKS concept mastery percentages, and PreCalculus grades for a population of 175 students over a span of two years. The study was conducted at a small (∼800 undergraduates), private university with limited resources for placement processes and remedial course offerings. We find that around 95% of students placed into the bridge course passed the course and also significantly increased in mastery of ALEKS topics, with mean increases in all concept groups. We also find students who enroll in the bridge course receive similar PreCalculus grades compared to those who placed directly into PreCalculus. [ABSTRACT FROM AUTHOR]

In the fall of 2020, our department at George Mason University integrated graduate learning assistants (GLAs) into our graduate core courses. GLAs are funded graduate students who assist instructors during class, facilitate active learning preliminary exam problem-solving sessions, hold extra office hours, and serve as peer mentors for beginning graduate students. The GLAMS program was designed to support beginning graduate students as they prepared for their preliminary exams. We describe the program and provide details about how it was implemented. We include preliminary student feedback as well as faculty and GLA reflections. To conclude, we outline our plans for programmatic changes moving forward. [ABSTRACT FROM AUTHOR]

This article is a discovery-based instructional resource for faculty to use as a capstone course or exploratory project for undergraduates who are familiar with (but not necessarily fluent in) calculus, linear algebra, complex variables, and geometry. The explorations flow from a simple change in sign: in the complex numbers a + bi, where i 2 = − 1 , replace i by τ, where τ 2 = 1 , but where τ ≠ ± 1. This creates a new algebra and geometry that is counter-intuitive, but has parallels to familiar mathematics so that students can use what they know, but on different ground. The materials are intended to foster investigation, collaboration, and creative mathematical thinking. [ABSTRACT FROM AUTHOR]

The Department of Mathematics & Statistics at Pomona College has long worked to create an inclusive and welcoming space for all individuals to study mathematics. Many years ago, our approach to the lack of diversity we saw in our majors was remediation through programming, which sought to ameliorate student deficits. More recently, however, we have taken an anti-deficit approach with focus on changes to the department itself. The programs we have implemented are described below as enhancing community, collaboration, and climate within our department. [ABSTRACT FROM AUTHOR]

This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in mathematics. [ABSTRACT FROM AUTHOR]

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction. For this study, the self-efficacy preservice teachers felt about teaching mathematics was assessed before and after completing a one-credit elementary education mathematics seminar. The course included research into student errors, open-ended mathematics tasks, and student reflection. The pre- and post-test data indicated that a statistically significant increase in self-efficacy, t(49) = 11.393, p <.05, with qualitative analysis of responses corroborating the positive effects of the course, especially of the student error analysis. [ABSTRACT FROM AUTHOR]

Retaining mathematics majors is a pressing concern in many departments. We examined the pass rates of students across our mathematics major and then analyzed student persistence between math courses along with the underlying data collection required to make these analyses. We found that mathematics majors leaving the major after successfully completing a mathematics course is a huge issue and particularly prevalent among female and Hispanic students. Finally, we consider why this lack of persistence might exist and possible avenues to assist students in continuing a mathematics major. [ABSTRACT FROM AUTHOR]

This mixed-methods study examined prospective elementary teachers' (N = 32) mathematical knowledge and mathematics self-efficacy while learning about the Singapore Modeling Method in a university mathematics course. Pre- and post- quantitative data were collected via two content knowledge assessments and one belief survey, and qualitative data were gathered through individual interviews. The quantitative data analysis showed that content knowledge did not change significantly, whereas mathematics self-efficacy did change significantly. Three themes from the interviews evidenced growth in mathematical knowledge: justifying reasoning in problem solving with visual clarity, variety of valid strategies, and changes in mathematics self-efficacy and connections with content knowledge. [ABSTRACT FROM AUTHOR]

Collegiate mathematics instructors are moving away from traditional lecture-based teaching practices to accommodate the pedagogies that support more active student learning. As part of the movement, groupwork has been increasingly implemented. At the same time, mathematics classrooms have become increasingly diverse and also in the distribution of students' primary languages. In this report, we examine two students' experiences with groupwork in a collegiate mathematics course. What commonly binds these two students is that they each found themselves to be the only member of their respective groups who uses a different primary language from the other group members. After presenting the experiences, we provide instructional implications for group formation in linguistically heterogeneous classrooms. [ABSTRACT FROM AUTHOR]

For a semester within a transition-to-proof course, mathematics majors explored two famous conjectures: The Twin Primes Conjecture and the Collatz Conjecture. Students were scaffolded into exploring the conjectures through directed activities but were also expected to create their own methods of exploration. We documented students' experiences working on the conjectures in order to understand how their perceptions of the nature of mathematics (NOM) were enriched through the project. Some students learned about conjectures for the first time and, although it was challenging for students to create their own methods of exploration, most students productively engaged with the conjectures in creative ways. Students enjoyed exploring mathematics and thinking outside the box. They also came to better understand what goes on behind the scenes of mathematics and came to appreciate and identify with mathematicians. Overall, students had a deeper understanding of NOM after working on unsolved conjectures. [ABSTRACT FROM AUTHOR]

This article describes the revision of a Business Calculus course at a medium-sized, northwestern university. The purpose of this manuscript is to describe the need for a redesign of the Business Calculus course, conversations among math and business faculty about the course changes, the development of the new course, and the addition of a one-credit lab using technology. We will provide an example of a typical lab assignment, students' thoughts about the courses, and the lessons we learned throughout the course revision and implementation process. Suggestions for further development are provided as well. [ABSTRACT FROM AUTHOR]

Graphs about Us (GaU) is an activity for building classroom community within mathematics classrooms. Through the creation and analysis of graphical representations of data about the students' lives in and out of school, this activity aims to allow each student to feel seen and validated in the class, create shared knowledge of students' experiences, and to identify and challenge dominant narratives that may be unproductive for learning mathematics. By situating this activity within a mathematical context, GaU promotes students' learning about each other and about mathematics. This article describes three phases of the GaU activity, connects the activity with these goals for building classroom community, and discusses challenges that have arisen when using GaU with students. [ABSTRACT FROM AUTHOR]

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to secondary school mathematics content for prospective secondary mathematics teachers, as well as provide instructors with a useful resource. Each lesson includes four guiding features: addressing meaningful content; making connections to mathematics teaching; emphasizing active learning; and providing comprehensive notes for instructors. Interviews with instructors and their students document how the instructors adapted the lessons to their classrooms and how the lessons influenced undergraduates' mathematical understanding. [ABSTRACT FROM AUTHOR]

Developmental mathematics is often a barrier to student progress and success in college. As a result and for this reason, this research study describes the redesign of a developmental mathematics course at a U.S. East Coast university to decrease the amount of time it takes for students to complete their developmental requirement and increase the success rate of students who move on to college-level mathematics. It also describes the motivation for the redesign and the implementation process. An analysis of quantitative data relating to student performance provides insight into how the course redesign presents opportunities and challenges for student progress and learning. The redesign demonstrated a high percentage of students passing the course over three years and has contributed to a high retention rate for developmental mathematics students. Recommendations for colleges and universities are included. [ABSTRACT FROM AUTHOR]

The integration of biology with mathematics and computer science mandates the training of students capable of comfortably navigating among these fields. We address this formidable pedagogical challenge with the creation of transdisciplinary modules that guide students toward solving realistic problems with methods from different disciplines. Knowledge is gradually integrated as the same topic is revisited in biology, mathematics, and computer science courses. We illustrate this process with a module on the homeostasis and dynamic regulation of red blood cell production, which was first implemented in an introductory biology course and will be revisited in the mathematics and computer science curricula. [ABSTRACT FROM AUTHOR]

This editorial serves as an introduction to Part 1 of the Special Issue Mathematics and the Life Sciences – a collection of articles showcasing ideas, examples, pedagogical frameworks, and curricular materials aiming to bridge the stubbornly persistent gap at the undergraduate level between the mathematical and the life sciences. The special issue features authors from public and private institutions of diverse types, sizes, and geographic locations: community colleges, liberal arts colleges, and research-oriented universities. We hope this special issue will serve as a resource to faculty who seek to make changes to their own course(s) or initiate curriculum reforms at their own schools. Part 1 focuses on educational initiatives that are appropriate for Calculus classes or require calculus as a prerequisite. Part 2 of the special issue features course materials and programs based on discrete mathematics, computational approaches, and statistics. Part 2 also includes articles on internship programs and co-curricular opportunities. [ABSTRACT FROM AUTHOR]

This article describes the authors' experiences developing and implementing an innovative curriculum connecting mathematics and the biological sciences. It describes the original plan, the modifications that were necessary, and some advice to readers who might want to develop comparable programs. [ABSTRACT FROM AUTHOR]

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing the reliability of the fitted parameters, fits in existing mathematics courses at levels from basic to multivariable calculus. The material for multivariable calculus explains methods of computation of quantitative criteria of "significance" that are currently the subject of scientific controversy. This article thus provides resources to strengthen students' mastery of calculus before, or in, mathematical modeling, probability, and statistics. [ABSTRACT FROM AUTHOR]

The COVID-19 pandemic has made mathematical epidemiology a topic of critical importance, providing mathematics educators with an unparalleled opportunity. This opportunity is accompanied by a challenge: how do mathematics educators, some of whom have little personal experience with mathematical modeling, teach mathematical epidemiology to their students in courses ranging from precalculus to differential equations, and do so in a way that builds understanding of epidemic disease dynamics as well as mathematical methods? We address this issue with a collection of materials that allow students to conduct virtual experiments with a COVID-19 model to assess the effects of public health policies and community behavior. The materials are designed to require only a bare minimum of coding by students so as to focus students' efforts on interpretation of results. [ABSTRACT FROM AUTHOR]

As higher education institutions focus on increasing mathematics success, it is important to consider the experiences and needs of structurally disadvantaged identities. In this article, an asset-based framework was used to examine how eight first-generation, low-income, Students of Color perceive their mathematics placement experience. Although mathematics departments intend placement to be a mechanism for promoting success in mathematics, our research showed that the mathematics placement exam caused anxiety among students, was perceived as high stakes, and was viewed with a fixed mindset as opposed to a growth mindset. Implications of these insights encourage mathematics departments to consider alternative placement approaches that enhance the student experience of placement, especially for students with structurally disadvantaged identities. Creating an asset framed mathematics placement process is an initial step to improve success in mathematics. [ABSTRACT FROM AUTHOR]

A deficit perspective is a propensity to locate the source of academic problems in deficiencies within students, their families, their communities, or their membership in social categories (such as race and gender). While the deficit perspective is a common topic of discussion in K–12 mathematics education, it is a much rarer topic of discussion in undergraduate mathematics education. I argue that undergraduate mathematics instructors should take the deficit perspective seriously, because it structures educational experiences for students and instructors. In this survey article, I provide a brief review of the literature on deficit perspectives in mathematics education, and I offer practical suggestions for education from an anti-deficit perspective. [ABSTRACT FROM AUTHOR]