Electronic Seminar on Mathematics Education
This is an online seminar centered on mathematics education at the university level. Talks will cover curriculum, pedagogy, inclusiveness, professional development, blended and flipped classrooms, and other topics of interest.
Past Talks
Click on the title of a talk to show the abstract and references (you should see a next to the title if the talk has a folder).

$\begingroup$$\begingroup $Jason Siefken, University of Toronto
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Linear Algebra I at the University of Toronto is a large course with around 7 sections of 200 students per semester. Recently all Linear Algebra I sections have switched to an active learning approach, with significant components of inclass peer collaboration and fullclass discussion. However, the majority of instructors who teach Linear Algebra I are graduate students and postdocs with limited teaching experience and exposure to active learning teaching methods. In this session, I will share with you my program for onboarding instructors to teach an active learning course, that includes an instructor course design manual, peer observations and mock teaching sessions. I will also discuss the successes and challenges of these onboarding activities from a course coordinator perspective.
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 Mastery Grading Conferences
 Special issue of PRIMUS on mastery grading
 Collection of PRIMUS articles on assessment
 Linear Algebra for Teambased Inquiry Learning
 Active Calculus textbooks
 Book recommendation: Linda B. Nilson Specifications Grading: Restoring Rigor, Motivating Students, and Saving Faculty Time Reprint Edition
$\begingroup $Silvia Heubach, Cal State LASharona Krinsky, Cal State LAResources:
We will give an introduction to the philosophy behind mastery grading and share our experiences with this mode of grading across a number of STEM courses (Calculus and Linear Algebra) as well as its use in a large scale introductory General Education Statistics Course, where we are using mastery grading at scale. We have experimented with a number of different implementations and will share what we have learned in the process, in particular how to use this system in a set of coordinated courses with a group of instructors. We hope that you can take something useful for your own classes from this talk.
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$\begingroup$$\begingroup $Bus Jaco, Oklahoma StateMike Oehrtman, Oklahoma State
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The Mathematical Inquiry Project (MIP) supports statewide faculty collaborationon inquiryoriented learning in entrylevel college mathematics classes. MIP activities beginwith faculty workshops to identify and characterize critical concepts in each entry level course, small collaborative teams to develop resources with guidance from the workshops and feedback from the broader community, regional workshops allowing more faculty to participate and share their expertise, and mentoring relationships to support longterm classroom implementation. We will discuss the foundationaldefinitions of the project and successes and challenges in nurturing a statewide faculty community of practice around improving instruction and learning in entrylevel college mathematics.
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$\begingroup$$\begingroup $Michael Dorff, Brigham Young University
PIC Math is a course and program to prepare undergraduate students in mathematics and statistics to succeed in careers in business, industry, and government (BIG). Funded by NSF, PIC Mathincreases awareness among faculty and students about nonacademic career options, provides undergraduate research experience using problems from industry, and prepares students for industrial careers. For the course, we have developed prepared materials for the course such as sample syllabi, a set of sample research problems from industry, sample student solutions to industrial research problems, and sample videos of students presenting their research. During the first three years of PIC Math, over 100 universities, 100 faculty members, 1400 undergraduate students, and 100 industrial partners have participated.
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$\begingroup$$\begingroup $Vilma Mesa, University of Michigan
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In this interactive presentation I will present a preliminary analysis of various artifacts associated with ‘lecture notes’ submitted by participants in a largescale study of three textbooks written in PreTeXt, Active Calculus by Matt Boelkins, A First Course in Linear Algebra by Robert Beezer, and Abstract Algebra Theory and Applications by Tom Judson. For this analysis, I have provisionally defined lecture notes as a document produced with the goal of teaching a lesson for a specific topic. In the analysis we attend to the constitution of the lecture notes (the dynamic process of generating them and context) and their structure (nature of resources, roles, and relationships), paying attention to how textbooks mediate this work. While there are variations, there are many similarities across the participants, revealing that producing lecture notes is in itself a professional development activity through which the instructors acquire new knowledge, skills, and practices, even when those are not consciously recognized. Participants will be asked to think about and share their own process of lecture notes production.
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$\begingroup$$\begingroup $Matt West, University of Illinois
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PrairieLearn is a flexible, opensource platform for writing webbased questions that is in broad use for both homework and exams. We will show how PrairieLearn makes it easy to write questions that can randomize themselves, allowing students to practice repeatedly on different variants of a question, and to autograde so that students receive immediate feedback. In comparison to other questionasking platforms, PrairieLearn is highly extensible and permits instructors to develop and share new question components using standard languages such as Python, HTML, and LaTeX. We will demonstrate this flexibility with examples relevant to math education, including symbolic inputs, matrix calculations, graph sketching, and scaffolding activities for proofs. We will also show examples of how PrairieLearn can provide both formative practice for students as well as fullyautomated exams when integrated with a computerbased testing facility.
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$\begingroup$$\begingroup $Christine von Renesse, Westfield State University
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In this very active session, participants will experience doing a mathematical activity in a remote synchronous setting. They will then use this experience to reflect on learning and teaching, especially in the current remote setting. Finally we will think about how we can use communities of practice like the Communities for Mathematics Inquiry in Teaching, COMMITs, to support each other in becoming even better educators.
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 Discrete Math
 MyOpenMath rich algorithmically generated assessment to support the use of free, open textbooks
 GeoGebra worksheets for Calculus
 Mathematics Core Standards
$\begingroup $Doug Ensley, Shippensburg UniversityPresentation:
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This presentation will take the form of a brief tour of three parallel threads in recent work updating my freshmanlevel discrete mathematics course materials: (1) Explicit connections to secondary school content leverage common student experiences, promote communication within the class, and better serve majors pursuing teaching certification. (2) Computerbased interactions (retooled in HTML/JavaScript to be tablet friendly) provide support for an inquirybased approach to students construct their own understanding of mathematical proof. (3) An extensive MyOpenMath library for discrete mathematics supports online assessment for all topics in the course. And of course, if it’s sunny in Pennsylvania that day, there will be 6 more minutes of presentation.
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 EasytoUse Cloud Computing for Teaching Data Science
 Jupyter Notebooks
 Coleridge Initiative introduction to Python
 Binder
 Teaching Statistical Concepts and Modern Data Analysis with a ComputingIntegrated Learning Environment
 ISLE
 Journal of Statistics and Data Science Education special issue "Computing in the Statistics and Data Science Curriculum"
$\begingroup $Jo Hardin, Pomona CollegePresentation:
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In a seminal paper, Nolan and Temple Lang (2010) argued for the fundamental role of computing in the statistics curriculum. In the intervening decade the statistics education community has acknowledged that computational skills are as important to statistics and data science practice as mathematics. There remains a notable gap, however, between our intentions and our actions. To understand that gap, together with Nick Horton, we assembled a collection of papers for a special issue of the Journal of Statistics and Data Science Education (2021) focused on what has changed over the last ten years with respect to computing in the statistics curriculum. Broadly, the collection of papers (1) suggest creative structures to integrate computing, (2) describe novel data science skills and habits, and (3) propose ways to teach computational thinking. My talk describes the special issue with particular focus on the last of the three aspects: the role of computational thinking: The computer as part of the thinking process and not only a tool for implementing mathematical theory.
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$\begingroup$$\begingroup $Paul Bourdon, University of Virginia
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Last spring, with the unexpected move to online instruction and colleagues reporting, “There’s cheating all over the place,” I opted to give oral exams to students in my ODEs and MathforPhysics classes. Special circumstances (which I’ll describe) provided an opportunity to deliver oral final exams in the two multisection CalculusI courses I was coordinating.I’ll discuss the pros and cons of oral exams, making a case that, for an experienced instructor, the pros outweigh the cons, even for classes whose enrollments are as large as 50 students. I'll conclude by discussing my fairly positive experience this fall delivering common written exams through WebAssign to students in a multisection CalculusI course.
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$\begingroup$$\begingroup $Maria Andersen, Westminster College
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Remote teaching in mathematics is better than lots of inperson math teaching. Dr. Andersen has been remote teaching for over a decade. She will be sharing tips and pedagogical techniques for improving your remote teaching skills and conducting active learning in remote sessions with students.
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$\begingroup$$\begingroup $Shay Fuchs, University of Toronto
At the University of Toronto Mississauga we offer Calculus for Life Science courses, taken by more than 600 students each year. The course is taught in large lecture sections with about 150 students in each. In 2018 we redesigned and converted the course into an activelearning course. Students prepare in advance, and then participate in inclass polling and group activities, which are accompanied by discussions and short lectures. This approach turned out to be more effective than the traditional lecturebased method. Moreover, the activelearning design can be easily transferred to online environments.In this session I will demonstrate an actual classroom session, followed by Q&A and discussion.
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$\begingroup$$\begingroup $Uri Treisman, Univerity of Texas at AustinErica Winterer, University of Texas at Austin
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Supplementary material for UTAusten M408C Differential and Integral Calculus
How can we help our students make an informed choice about pursuing a life in mathematics or in a mathematicsintensive profession? How can we practically and productively assess the impact of our introductory courses on our students' academic and career choices? Erica and Uri will share some of their recent work on acculturating students to the norms, values and aesthetics of our discipline. They will describe some of the novel structures, routines and rituals which constitute the heart of their equityminded classroom practice. Finally, they will show excerpts of Erica’s interviews with class alumni reflecting on the impact of the course on their undergraduate experience. Those of you familiar with Uri’s work will recognize the structures, routines and rituals presented as a natural evolution of those at the heart of the Emerging Scholars program he developed at Berkeley in the late 1970s.
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$\begingroup$$\begingroup $Jason Martin, University of Central ArkansasMichael Tallman, Oklahoma StateMatt Thomas, Ithaca CollegeAaron Weinberg, Ithaca College
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We will describe the ideas of quantitative reasoning and intellectual need, and describe how we have used these ideas as design principles for creating instructional videos and related materials for introductory calculus. These ideas have implications for courses beyond calculus and for instructional materials beyond videos. We will show how important it is for students to think about calculus concepts in terms of quantities and share examples from our materials that demonstrate imagery that supports this quantitative reasoning. We will describe how we have used intellectual need to envision calculus concepts in terms of a series of perturbations and resolutions, and how these ideas have been translated into instructional materials.
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$\begingroup$$\begingroup $Rob Beezer, University of Puget Sound
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[Screenreadable version of the slides](http://buzzard.ups.edu/talks/beezer2020esmeaccessible/beezer2020esmeaccessible.html#
Creating accessible materials (handouts, exams, lecture notes, and textbooks) can be a challenge in the best of circumstances, but is even more so when they contain mathematics. Paradoxically, documents in electronic forms are often done poorly, when they are really the easiest to get right. Our experience with this topic comes solely from the design and implementation of PreTeXt, which is a markup language and publishing system which converts a single source document into a variety of output formats: print, PDF, HTML, EPUB, Jupyter notebooks, and braille. Since PreTeXt rigorously separates content from presentation, it is possible to manufacture outputs that are as accessible as the output format permits. Versions of the slides for this presentation are available in braille (BRF format) by request in advance via an email to beezer@ups.edu. Please specify if you plan to emboss them, or use with a oneline display. Versions of the slides for use with a screen reader will also be posted in advance.
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$\begingroup$$\begingroup $Chris Sangwin, University of Edinburgh
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In this seminar I will describe how we, at the University of Edinburgh, have tried to help students learn proof through online assessment. This is ongoing work, driven by a practical need and constrained by current technology which cannot automatically assess students' free form proof. The seminar will discuss the nature of elementary proof more generally.
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$\begingroup$$\begingroup $Rick Cleary, Babson College
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Mathematics majors typically see no mathematics other than calculus until they complete a calculus sequence. This can be a major barrier to entry to the study of mathematics. But should it be? What could a "limited calculus" mathematics major look like? What would it be good for? At Babson College, we don't have a math major and we don't teach a calculus sequence; but we offer sophisticated elective courses in discrete math, linear algebra, probability, mathematics of finance and many areas of statistics and operations research. Our students get good jobs in industry or go on to very strong graduate programs in business and other fields. We hope to encourage colleagues elsewhere to consider building mathematics pathways that prepare students for careers first and graduate study in math as the exception, rather than the other way around.
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$\begingroup$$\begingroup $George Kinnear, University of Edinburgh
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I will describe the development of a new classroom observation protocol, FILL+, which generates a timeline showing the type of activity taking place at each second ("lecturer talk", "student question", etc). This provides much finer detail about classroom practices than other protocols (such as COPUS, which notes activities taking place in 2minute intervals). The timeline can be summarised quantitatively, for instance by computing the proportion of time spent on lecturer talk compared with other activities, or counting how often lecturers pose questions to the class and how often students respond. I will present some of the insights gained from applying FILL+ to recordings of 220 STEM lectures, including 94 in mathematics. A key finding was that the FILL+ protocol can be applied reliably by novice coders, following minimal training.
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$\begingroup$$\begingroup $Yvonne Lai, University of NebraskaLincoln
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Only recently has there been research on what sort of mathematics training is actually useful to teachers. I will begin with brief survey of this research, for both elementary and high school teaching. I will discuss some recent results on how policy tends to be more consistent with these findings at the elementary level than at the high school level, and why this may be. I will conclude with some open questions about the mathematical preparation of high school teachers, and the potential role of mathematicians in addressing these questions.
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 Student Research Projects in Calculus
 Passiondriven Statistics
 Exam questions for a Pandemic
 Guidelines for Instruction in Statistics Education (GAISE)
 Guidelines for Assessment and Instruction in Mathematical Modeling Education (GAIMME)
 MathWorks Math Modeling (M3) Challenge
 COMAP Modeling Challenges
 Topology through Inquiry
 IBL
$\begingroup $Rachel Levy, Math Association of AmericaPresentation:
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Projectbased learning can take many forms, from small challenges in a single class to longer assignments. Let's have a conversation. How do you develop problems that your students find meaningful? How do you handle individual and group aspects of learning? How often do you regroup for a minilesson? How do you structure assessment? What are important considerations for distance learning? I look forward to sharing some experience and learning from each other.
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Eric Stade's Calculus for Life Sciences course webpage (Contains active learning materials for calculus.)
$\begingroup $Eric Stade, University of Colorado, BoulderPresentation:
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Now is probably as good a time as any, unfortunately, to argue for a firstsemester Calculus course that begins with the SIR, or SusceptibleInfectedRecovered, dynamical system from epidemiology. I’ll describe how I use SIR to kickstart a course, that, eventually, gets to all of the usual Calc I stuff, and is richly satisfying to math geeks (like me) while still appealing to students who are perhaps less geeky, or geeky in different directions. This course is based on the brilliantly subversive, but wonderfully accessible, text Calculus and Context by the FiveCollege Calculus Team: James Callahan, David A. Cox, Kenneth R. Hoffman, Donal O'Shea, Harriet Pollatsek, and Lester Senechal.
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$\begingroup$$\begingroup $Rena Levitt, Minerva
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Minerva Faculty are hosting "Ask me Anything" sessions from April 7 to April 10 every weekday between 1112pm (EST) and 56 pm (PT). RSVP here
This talk is cosponsored by TPSEMath.
Many institutions of higher education have transitioned to online teaching over the past few weeks in response to the novel coronavirus. As a result mathematics faculty are being asked to rapidly translate their courses from brickandmortar classrooms to virtual environments. These online modalities require faculty to reassess how they engage students. We faced a similar challenge five years ago when founding the Minerva Schools. In the time since we have taught hundreds of college students math in realtime virtual classrooms. In our experience, synchronous classes are most effective when students are actively engaging in welldefined tasks throughout the session. In this seminar, you will take the role of a student in a portion of a Minerva calculus class session. After the class simulation and debrief, we will have anopen discussion about translating active learning techniques to synchronous, virtual classrooms.
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$\begingroup$$\begingroup $Abbe Herzig, AMS Director of EducationDave Kung, TPSE Director of Strategy and Implementation
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Because of the coronavirus, mathematics faculty are transitioning to teaching online. To help us all deliver the best learning experience, TPSE has drafted a list of the key strategies that every online course should incorporate. We will describe those strategies, and solicit reactions and feedback in the discussion.
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MAA Connect is home to a variety of resources. If you are not an MAA member, you can join as a guest and then return to this site. Search for Online Teaching and Distance Learning. Among the items you will find there is this very informative document.

The Chronicle of Higher Education contains an overview of university responses to Covid19 as of March 12, and a set of useful links about feedback and engagement.

Stan Yoshinobu (24 Sept 2019) used a prepared google doc that participants edited in pairs.

Matt Boelkins (2 Oct 2018) used PollEverywhere, and provided a lot of examples of online instructional material.

https://open.lib.umn.edu/trigonometry/

http://mathlets.org/
$\begingroup $Rick Cleary, BabsonRachel Levy, MAAMike Weimerskirch, University of MinnesotaPresentation:
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Here are a couple of specific university responses:
Many past ESME speakers have demonstrated various online teaching techniques. Many have used the Zoom chat feature to gather participant responses. Several of them have used other feedback mechanisms:
Some links about open educational resources:
Here is a reference about online disabilities accomodation
There are many welldeveloped visualization tools that find natural homes in online education. Here are two:
Many of us are suddenly being asked to conduct the rest of this semesters classes online. How do we make this mode of instruction studentcentered? How do we listen to students remotely? How do we poll them? How do we look over their shoulders at the work they are doing? How do we ensure equity in this technological regime? This special meeting of ESME will gather a panel to lead a discussion about these and other questions that many of us are struggling with.
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$\begingroup$$\begingroup $Ron Buckmire, Occidental College
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Mathematics is a human endeavor. In other words, mathematics is done, taught, discovered and learned by people. All people have various identifying characteristics and experiences that affect how they interact with other people and how people interact with them. The identities of the people who are perceived as belonging to the mathematics community is important. Data will be presented about the diversity and demographics of the mathematics community in the United States, followed by a discussion of the significance and implications of the underrepresentation of certain groups.
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$\begingroup$$\begingroup $Dave Levermore, University of Maryland, College Park
Introductory ordinary differential equations is the most challenging sophomore level mathematics course for most science, engineering, and mathematics majors. Over the past decade it has evolved into a hybrid course involving large lectures, group work in smaller discussion sections, teambased projects, and online material in pdf and video format. The materials developed have also been used by a local community college and by a local high school AP class. It incorporates both formative and summative evaluation. We will describe the course and survey its evolution.
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$\begingroup$$\begingroup $Annoesjka Cabo, TU Delft
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At Delft University of Technology the PRogramme Innovation Mathematics Education (PRIME) is dedicated to redesign interfaculty (service) math courses, including Calculus, Linear Algebra, Probability & Statistics and Differential Equations. The goal of the innovation is threefold:
1. to activate the students,
2. to improve transfer from mathematics to engineering,
3. and to improve results.
At the moment 24 courses have been redesigned, more than 30 lecturers are involved in teaching and developing the educational material. In total over 3000 students take the courses every year. We decided to teach the courses in a blended way, following the principle Prepare, Participate, Practice. In this talk you will see how the collaboration of academics and a social enterprise resulted in a practice platform that the staff are (increasingly) satisfied with, that is valued by the students, that helps improve students’ learning experience and that is openly available to all of you!
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$\begingroup$$\begingroup $Sara Billey, University of Washington
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Discrete Mathematical Modeling is used everywhere in business and sports these days so it's an exciting topic to teach and learn. This lecture will describe our approach to incorporating decision problems from nonprofit organizations, small businesses, and groups on campus into our classes through student projects. We have found that in addition to helping our community partners, our students are highly motivated by the material related to their projects. Specific examples and resources will be discussed.
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$\begingroup$$\begingroup $Bree Ettinger, Emory University
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Sustainability challenges faculty and students to find solutions that meet the needs of the present without compromising the ability of future generations to meet theirs. Infusing sustainability issues in the classroom equips students with the skills and knowledge they need to use mathematics to conduct conscientious modeling and mindful analysis by considering economic, environmental, and social outcomes. This talk will present a variety of ways to incorporate sustainability into the undergraduate mathematics curriculum and discuss the benefits and challenges of doing so.
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MAA Assessment practices in undergraduate mathematics (1999)

MAA Supporting assessment in undergraduate mathematics (2006)

ASA Guidelines for assessment and instruction in statistics (2016)

SIAM Guidelines for assessment and instruction in mathematical modeling (2016)

MAA CUPM curriculum guide to majors in the mathematical sciences (2015)
$\begingroup $Benjamin Braun, Univ of KentuckyPresentation:
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Substantial changes have occurred over the past decade in undergraduate mathematics education, with particular emphasis on the classroom practices used by instructors and faculty. These studentcentered pedagogies should be complemented by the implementation of studentcentered assessment practices. We will describe the characteristics of "studentcentered assessment practices," and share basic frameworks and methods to guide faculty and instructors seeking to implement these.
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$\begingroup$$\begingroup $Stan Yoshinobu, Cal Poly
Instructors using active learning strategies should inform and coach their students about the benefits of active learning, how to be an effective student in an active classroom, and learning additional ways (for students) of perceiving progress and success in a class. Student buyin is an area of focus necessary in classes using active learning methods, because the norms and roles in these classes are different. Teaching is a cultural activity, and changing norms requires discussion and transparency. In this seminar, we discuss an activity to open a course on day 1, ongoing strategies, math anxiety, growth mindset, and connections to assessment and course materials. This talk is intended primarily for college math instructors, although all interested faculty are encouraged to join the discussion.
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$\begingroup$$\begingroup $Sunil Chebolu, ISUHaynes Miller, MIT
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Undergraduate research is widely understood to fosterpersistence in STEM majors andcareers. Extracurricular UR programs are difficult to organize and sustain, and may not be available to a relevant segment of the student population. We will report on two independently designed coursebased undergraduate research experiences, and discuss what we have learned about running such a course.
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A powerpoint version of the slides with embedded videos is available for download here
$\begingroup $Eric Hsu, San Francisco State UniversityPresentation:
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You are invited to contact Eric Hsu if you would like access to material supporting the teaching approach described here.
In this discussion, we will address common unspoken beliefs of math teachers that hold us back from improving our practice, specific group work facilitation strategies for college classes of up to 50 students, and the creation of groupworthy tasks.
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$\begingroup$$\begingroup $Steve Bennoun, Cornell UniversityTara Holm, Cornell University
There is a long history of engaged teaching in the Mathematics Department at Cornell. We will give an overview of two significant projects focused on Calculus 1: the Good Questions project and the Active Learning Initiative. We will give some of our preliminary findings about what has an impact on student learning. We will also discuss implications of our work for TA and instructor training.
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$\begingroup$$\begingroup $Ralf Spatzier, University of Michigan
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Academy of Inquiry Based Learning
The IBL Center at University of Michigan is happy to share their IBL course materials with other instructors worldwide. Please email spatzier@umich.edu.
In IBL, students learn through guided exploration with the help of experienced instructors. We engage the students and emphasize discovery, analysis, and investigation to deepen their understanding of the material and its applications. Students solve problems, conjecture, experiment, explore and create. These practices have been strongly supported by the CBMS, MAA, and the NRC. I will discuss inquiry based learning as we have introduced it over the last fifteen years at U Michigan, a bit about the history and the “struggle”, and their effect on both students and instructors. I will describe our training of instructors, especially postdoctoral fellows, assessment, the role undergraduates play as course assistants and our course materials.
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$\begingroup$$\begingroup $Mike Weimerskirch, University of Minnesota
Practicing basic computational skills and developing conceptual understand are two of the many things that happen in the math classroom. Using videos and online homework to 'flip the classroom' is a beginning, but more can be done to promote higher order thinking skills. The University of Minnesota is in its sixth year of a redesign of its PreCalculus curriculum that 'flips the formula'. Instead of the professor beginning with the generalization and passing the formula to students who solve specific cases, students now begin with specific cases and develop algorithms for general solutions
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$\begingroup$$\begingroup $Sanjoy Mahajan, Olin College of Engineering
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A war is on in probability and statistics: between the objective approach, a.k.a. frequentist or orthodox statistics, and the subjective approach, a.k.a. Bayesian statistics. For my sins, I find myself fascinated by fields where the unorthodox view is correct, so I made and taught an undergraduate course on "Bayesian Inference and Reasoning." I will illustrate, with many examples, several hopefully transferrable aspects of the course.
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$\begingroup$$\begingroup $Philipp Hieronymi, University of Illinois at UrbanaChampaign
I will report on a still ongoing project to develop and improve the largest linear algebra course offered by the Department of Mathematics at Illinois. This course is a (nonproof based) first course in linear algebra taken by more than 1600 nonmath majors each year (the majority of these students are sophomores and juniors whose major is in engineering). The two main goals of this redesign are to increase the active learning component and to identify applications and develop activities that showcase the power of linear algebra. Discussing both successes and failures, I hope that the experiences I have to share, prove useful to others who are redesigning/reimagining large service courses at (large) universities.
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$\begingroup$$\begingroup $Annalisa Crannell, Franklin and Marshall College
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In this workshop/lecture, we’ll explore ways to structure inclass learning activities: how we might lead an IBL activity, or even an entire IBL course. In addition, we’ll learn how the speaker wound up using IBL to teach a class on isomorphisms of quotient groups in a bagel shop.
Interactive Engagement in the classroom can take many forms: Inquiry Based Learning, ThinkPairShare, Flipped classrooms, and more. And beyond being a totally trendy pedagogical innovation, interactive engagement increasingly has demonstrated improved outcomes in student learning and retention of mathematics and science. This workshop will attempt to help participants increase their ability to put theory into practice within their own courses.
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$\begingroup$$\begingroup $Gavin LaRose, University of Michigan
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Increasing the use of inclusive teaching strategies starts with building awareness in departments and among instructors. In this presentation we will describe a lowcost effort to create a community of instructors with interest in and knowledge of how mathematics classrooms may be inclusive (or not), whose members have thought about and developed a toolkit of teaching strategies they can implement in their own classrooms. Our group met six times over the course of a semester, with two additional meetings in the semester following, to discuss readings and how to implement teaching strategies that would promote inclusiveness. In this talk we will discuss the model for our community, the departmental context in which it was developed, its activities, what it accomplished, and how we are moving it forward.
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$\begingroup$$\begingroup $Susan Ruff, MIT
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In this seminar, we’ll discuss concepts that can guide the teaching of mathematical communication: writing to learn vs. learning to write; Anne Beaufort’s model of the prerequisites to effective disciplinary communication; the view of genres and genre systems as rhetorical actions; and Lave and Wenger’s observation that limited peripheral participation can be an effective means for entering a community of practice. Periodic questions will guide participants to consider how these concepts could be applied in their contexts, and examples of their application to curriculum design, instruction, assignment design, feedback, and assessment will be given from communicationintensive mathematics subjects offered by the MIT Department of Mathematics.
Bio
For more than a decade, Susan Ruff of MIT’s Writing, Rhetoric, and Professional Communication has been collaborating closely with mathematicians at MIT to teach mathematical communication in their communicationintensive mathematics subjects. Susan researches the reasoning of mathematics, mathematicians’ experiences writing and learning to write mathematics, and mathematical communication pedagogy. She is founding coeditor (with Haynes Miller and others) of MAA Mathematical Communication (mathcomm.org http://mathcomm.org), a resource for teachers who engage students in writing about mathematics. When she isn’t at MIT, she’s often rock climbing someplace remote.
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$\begingroup$$\begingroup $Alfonso GraciaSaz, University of Toronto
In an ideal world, when a student asks for help with a math problem, we do not answer directly. We help them realize what is confusing them and we help them solve the problem by themselves. From the perspective of a beginning instructor (or TA), this is easier said than done. How do you do it exactly? What if the student does not cooperate? What if they just answer "I do not know" to anything we ask? What if they grow impatient or resent me?
"Ask. Don't tell" is a training session we developed at the University of Toronto for our TAs. We use real student questions gathered from the online fora of our courses, and we see what actually happened, so nobody can argue that we are not being realistic.
I will demonstrate this session during the EMES seminar.
If at all possible, please make plans to attend this seminar with at least one other person in the same room. You will enjoy the seminar better, and you will get more out of it that way.
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 Natasha Speer: natasha.speer@maine.edu
 Jack Bookman: bookman@math.duke.edu
$\begingroup $Jack Bookman, DukeNatasha Speer, University of MainePresentation:
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Contact Info
Despite the important roles they play in undergraduate mathematics education, little attention has been focused on the preparation of graduate teaching assistants (TAs). In addition, faculty who wish to start or enhance a professional development program for TAs may find it challenging to locate instructional materials. The purpose of CoMInDS is to create an infrastructure, housed and supported by the MAA, to enhance the mathematics community’s ability to provide high quality, teachingrelated professional development to graduate students. We will provide background for our efforts, research findings relevant to these issues and we will engage participants in discussion about the need for and design of novice college mathematics instructor professional development. Because the history is short and the numbers are not yet large, this will include both quantitative and qualitative results. We will also share our thoughts on future developments as we seek continual improvement of our program, and to make it available to others.
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$\begingroup$$\begingroup $Catherine Snyder, Clarkson UniversityPete Turner, Clarkson UniversitySeema Rivera, Clarkson University
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It has been said that university faculty are perhaps the most highly qualified profession but with essentially no training for (the teaching part of) the job they are hired to do. This seminar will discuss our effort to change that, by including formal training in teaching for our Teaching Assistants – the future professoriate. The idea was born out of the merger of Clarkson with what is now our Capital Region Campus, formerly Union Graduate College, in Schenectady, NY. The talk will begin with a little background to set the scene and then discuss the implementation of our intensive training program for new TAs in the STEM disciplines. Of course, mathematics is at the heart of STEM as the common element in almost all STEM fields, and so mathematics TAs are perhaps especially important. Typically, new PhD student TAs arrive with misconceptions about their role, about how to teach, and about their audience and that audience’s base of knowledge and understanding. What worked for them as undergraduate learners is not a good model for all, and many are new to the US educational system, too. The program will be described and then we will share results from the research evaluating the program. Because the history is short and the numbers are not yet large, this will include both quantitative and qualitative results. We will also share our thoughts on future developments as we seek continual improvement of our program, and to make it available to others.
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 Active Calculus landing page
 PNAS metastudy on active learning
 Matthew Jones and Stan Yoshinobu on "coverage"
 Activities Workbooks
 Daily Prep Assignments
 WeBWorK sets (.def files)
 Geogebra labs
$\begingroup $Matt Boelkins, Grand Valley State UniversityPresentation:
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Ancillary materials for Active Calculus that are available upon request at boelkinm at gvsu dot edu:
Several recent ESME presentations have focused on active or inquirybased learning (such as those by Angie Hodge, Darryl Yong, Robin Pemantle, David Pengelley).Indeed, it is wellestablished that active learning offers, on average, significant benefits to students.At the same time, implementing active pedagogy effectively is challenging on several levels, including achieving student buyin, developing engaging investigations for students, and addressing what Stan Yoshinobu and Matthew Jones have called “the coverage issue.”
In this seminar, I will share some samples from my free and opensource text, Active Calculus, and demonstrate some of the features of the HTML version of the text. In addition, our practicefocused discussion will center on how I structure my calculus courses around active learning: daily preparation assignments, inclass activities, computer laboratory investigations, and outsideofclass WeBWorK and writing assignments.Seminar participants will be invited to share their experiences and questions regarding methods of interactive engagement in calculus and more. Following the seminar, I’ll be glad to share any of the discussed supporting materials upon request.
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$\begingroup$$\begingroup $Alissa Crans, Loyola Marymount UniversityDave Kung, St. Mary's College of Maryland
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Underrepresented minority students are more likely to drop out of college. Minority students and women are more likely to leak from the STEM pipeline at every stage from middle school on. Why do we need to address these issue? What can we do in our classrooms, departments, and institutions to ensure that everyone has an opportunity to succeed? When faced with a challenging situation, what will you do to make our world a more just place? In this session, we’ll dive into these issues  as an example of the kinds of professional development we provide to new mathematics faculty in MAA Project NExT.
Speakers:
Dave Kung teaches at St. Mary's College of Maryland and directs MAA Project NExT. After studying analysis, he switched to mathematics education, looking at instructor knowledge of student thinking. He has won his MAA section’s teaching and service awards, and he has passionately pushed to diversify mathematics. In his spare time, he runs, bikes, and plays violin  and coerces his daughter to join him.
Alissa Crans is a Professor of Mathematics at Loyola Marymount University and an Associate Director of MAA Project NExT. Her professional interests include higherdimensional and quantum algebra, relationships between math and music, and encouraging and supporting diversity and inclusivity in mathematics. She enjoys playing the clarinet, running, and baking (not cooking!).
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$\begingroup$$\begingroup $Angie Hodge, Northern Arizona University
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Calculus is often said to be the most difficult class in which to implement inquirybased learning (IBL) techniques. There are questions of class coverage, larger class sizes, and the mathematical maturity of the students taking calculus. Instead, IBL is historically known to be used in upperdivision mathematics courses where students are responsible for generating proofs with little to no help from the professor. In this seminar, I will discuss ways to successfully incorporate IBL into the calculus classroom. A variety of techniques will be discussed ranging from adding short active learning strategies into a lecture based classroom to a classroom where little to no lecture is given by the instructor.
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 Linear Algebra materials
 Abstract Algebra
 Support for use of these curricula, including summer workshops.
$\begingroup $Chris Rasmussen, San Diego State UniversityPresentation:
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Other Inquiry oriented initiatives:
Undergraduate mathematics education today faces a number of challenges and difficulties. One way to address these challenges is to build on promising theoretical advances and instructional approaches, even those not originally developed with undergraduate mathematics in mind. The Inquiry Oriented Differential Equations Project (IODE) is one such effort, which can serve as model for other undergraduate course innovations. In this presentation I describe central characteristics of the IODE approach, report on results of a comparison study, and provide an overview of the modeling sequence that leads to the emergence of a bifurcation diagram, a surprising and illustrative example of student reinvention. The overview and examples of student work tendered offers a fresh perspective on modeling and how an inquiryoriented sequence of tasks can lead to the reinvention of significant mathematics.
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$\begingroup$$\begingroup $David Bressoud, Macalester College
I've used history to motivate and organize introductory real analysis and Lebesgue integration. This talk will explain how it should be used to improve calculus instruction. The standard order of the four big ideas—limits then derivatives then integrals then series—is all wrong both historically and pedagogically. In addition, the standard models for derivatives and integrals, slopes of tangents lines and areas under curves, also throw obstacles in the path of many students. Drawing on history and recent research in undergraduate mathematics education, I'll make the case for calculus introduced first as problems of accumulation (integration), then ratios of change (differentiation), then sequences of partial sums (series), and finally the algebra of inequalities (limits).
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$\begingroup$$\begingroup $Andrew Tonge, Kent State University
In 1997, Virginia Tech dramatically changed how they taught lower division mathematics courses. They abandoned lectures and created a 500 seat “Mathematics Emporium” computer lab where students learned calculus and linear algebra assisted by software together with individualized input from teams of graduate students. Success rates soared and instructional costs plummeted. Other institutions soon adapted this model to their own needs with similar success. Emporiums, large and small, sprouted all over the country. They became popular for teaching remedial mathematics, often in highly modularized formats. A commonly reported outcome was a 25% increase in student success rates along with a 25% reduction in instructional costs. Most Emporiums were instructorcentered, driven by MyMathLab software, with students progressing through the curriculum lock step as a cohort. At Kent State we took a different, more studentcentered approach. In 2010, we created a 250 seat Emporium driven by adaptive, “artificially intelligent” ALEKS software. This builds and constantly updates an accurate representation of each student’s “knowledge space.” It allows students to choose individualized pathways through the curriculum and to advance efficiently, focusing their efforts primarily on learning what they don’t already know. We’ll discuss how and why we set up our ALEKS Emporium, describe a variety of positive outcomes, outline a recent radical metamorphosis, and situate everything within an emerging national agenda.
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 Illinois Geometry Lab
 Geometry Labs United
 GLU conference (August 2017, University of Washington)
 The IGL has a family resemblance to the MIT Math Lab
$\begingroup $Jeremy Tyson, UIUCPresentation:
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The Illinois Geometry Lab (IGL) was founded in 2011 to promote undergraduate research and community outreach in the Department of Mathematics at the University of Illinois. From modest origins, the IGL has grown substantially: Spring 2018 witnesses nineteen IGLsponsored research projects involving over 80 undergraduates and 23 graduate students. The IGL has also quickly become the premier departmental organization focusing on engagement with and outreach to community organizations and schools. I will discuss the IGL’s history and modus operandi, and the challenges and rewards of administering a largescale undergraduate research enterprise within a researchoriented public mathematics department. The IGL partners with a number of similar undergraduate research labs across the country as part of the umbrella organization Geometry Labs United (GLU). I will briefly describe GLU’s vision for a nationwide network of experimental research labs for undergraduates in the mathematical sciences.
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 References for the connection between active learning and more equitable student outcomes can be found here.
 Ed Prather has material on thinkpairshare in an astronomy classroom available here. Prather has a compelling presentation.
 Groupworthy material has been developed by Inquiryoriented Differential Equations. Chris Rasmussen will report on this project in EMES on May 1.
 A sobering study by Gerhard Sonnert, Philip Sadler, Samuel Sadler, and David Bressoud.
 Here are further references.
$\begingroup $Darryl Yong, Harvey Mudd CollegePresentation:
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Active learning has many documented benefits both for students and instructors. Moreover, there is increasing evidence that it disproportionately benefits women, students of color, and students who previously denied the same learning opportunities as others. However, the empirical evidence for this disproportionate benefit doesn't explain why it happens, nor does it guarantee that all students will benefit from active learning. In fact, my own experience with active learning is that it is difficult to do well and sometimes it can have detrimental effects on students if we're not careful. So, we should aim not just for active learning, but learning that is both active and inclusive. We'll discuss some principles and practical strategies for making active learning more inclusive. (If you are able to, please watch David Pengelley's EMES presentation on active learning before this session.)
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 Common Core State Standards for Mathematics
 Progression Documents for the Common Core Math Standards Institute for Mathematics and Education, University of Arizona
 Illustrative Mathematics
 Aleks, Assessment and LEarning in Knowledge Spaces is a Webbased, artificially intelligent assessment and learning system.

Two suggestions from Natasha Speer:
$\begingroup $Dev Sinha, University of OregonPresentation:
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We discuss a dozen years of experience in course development with an aim of changing students' perceptions of what mathematics is and what success in mathematics classes ought to entail. Key components are identifying important common student misunderstandings and designing activities, often inclass, to address those, and aiming for authenticity of student practice. We share groundup (re)design of three courses: introduction to proofs, math for preservice elementary school teachers, and mathematical modeling in preparation for college algebra, the latter of which has very positive though smallpopulation data which indicates some success. We end with discussion of the challenges presented to campuses in trying to strategically implement such practicefocussed courses.
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 College Mathematics Instructor Development Source (CoMInDS) Website. To join the CoMInDS listserve, email Emily Braley.
 CoMInDS program profiles:
$\begingroup $Robin Gottleib, HarvardEmily Braley, HarvardPresentation:
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Part of providing a valuable classroom experience for undergraduate students is supporting teachers so that they are well equipped to deliver high quality instruction. Graduate students at research universities often serve as teaching assistants (GTAs) and many serve as instructors of record in undergraduate courses. We will profile two well established graduate student professional development support programs, one at Harvard University and the other at Duke University. Then we will talk about the College Mathematics Instructor Development Source (CoMInDS) project of the MAA and how this program aims to support graduate students and professional development providers.
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 Active Learning at Penn
 Student paper article on active learning at Penn
 Teacher prep courses
 Active learning math courses:
 Calculus for business students: mock canvas, mock calendar, mock handouts, real course materials
 Active version of Calculus I
 Active version of Calculus II
$\begingroup $Robin Pemantle, University of PennsylvaniaPresentation:
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This is a mathcentric history of the active learning initiatives at Penn, starting in 2013 with our involvement in a project funded by the AAU.
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$\begingroup$$\begingroup $Teena Gerhardt, Michigan State University
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Over the last three years I have led a transformation of the Survey of Calculus course at Michigan State University. This applied calculus course serves over 3600 students per year. I will discuss the new course design, as well as the challenges in transforming large courses. This course redesign is part of a push by the MSU math department to improve introductory math courses, as well as a broader effort across the university to improve STEM gateway classes. I will briefly discuss efforts and programs at the department and university level that have led to these changes in institutional teaching culture.
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 Mathematical Assocation of America MAA Instructional Practice Guide (draft)
 Conference Board of the Mathematical Sciences Active Learning in PostSecondary Mathematics Education
 MAA Committee on the Undergraduate Program in Mathematics Curriculum Guide
 American Statistical Association Guide for Assessment and Instruction in Statistics Education (GAISE) Report
 National Council of Teachers of Mathematics (NCTM) Principles to Actions
 Association of Mathematics Teacher Educators Standards for Preparing Teachers of Mathematics
$\begingroup $Beth Burroughs, Montana State UniversityPresentation:
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The MAA Instructional Practices Guide is a companion guide to the 2015 CUPM Guide to Undergraduate Programs in the Mathematical Sciences. The IP Guide focuses on three core practices: Classroom Practices, Assessment Practices, and Course Design Practices. The guide is in draft form, preparing for release in 2018. This seminar will describe the principles the author team used in creating the guide, will provide an overview of the contents of the guide, and will provide an opportunity to discuss some of its recommendations indepth.
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 Beating the LectureTextbook Trap with Active Learning and Rewards for All
 The Calculus Concept Inventory—Measurement of the Effect of Teaching Methodology in Mathematics
 Evaluation of the IBL Mathematics Project: Student and Instructor Outcomes of InquiryBased Learning in College Mathematics
 Active learning increases student performance in science, engineering, and mathematics
 Largescale comparison of science teaching methods sends clear message
 Enough with the lecturing
 MAA Instructional Practices Guide (December 20, 2017) accepting reviewer comments until December 1st.
$\begingroup $David Pengelley, Oregon State UniversityPresentation:
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What is active learning? What is the scientific evidence about it in the classroom? What is the lecturetextbook trap? What are the alternatives, and how difficult are they? What about issues such as "first contact", and linkages between before, during, and afterclass. Is there a motto about student reading? What are the rewards of active learning for both teachers and students? How much inertia is there? I will address these questions based on pedagogy developed in 17 distinct university courses at all levels over 20 years. And there will still be plenty of time left for discussion.
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$\begingroup$$\begingroup $Haynes Miller, MIT MathematicsJennifer French, MITx
Since about 2002 a team at MIT has been developing a suite of specialpurpose applets to support student understanding of mathematical concepts and operations. They have been used extensively as lecture demonstrations and in homework assignments. We will show some examples of these uses, discuss their design and reception, introduce the website mathlets.org, and end with a description of how they have been integrated into online courses.
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 Course materials
 Discussions and information on the educational decisions taken when designing and implementing the flipped version of 18.05 are available here
$\begingroup $Jerry Orloff, MITJon Bloom, MITPresentation:
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Several years ago at MIT we decided to flip our introductory probability and statistics class. This involved the use of technology both in and out of class as well as a major revamping of the syllabus. We will discuss our experience: what worked well and not so well. At this point we expect many participants will have tried flipping a class, so we hope to generate a discussion of our various experiences.
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 MOOC on how to design and produce content from Stanford: Blended and Online Learning Design
 JovE: peerreviewed scientific journal that publishes experimental methods in video format
$\begingroup $Petra BonfertTaylor, DartmouthSarah Eichhorn, University of California at IrvineDavid Farmer, American Institute of MathematicsJim Fowler, Ohio State UniversityPresentation:
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CuratedCourses in Mathematics is a project to create, gather, curate, tag, review, organize and make available high quality online open educational mathematics resources. The project aims to coordinate work being done at multiple institutions on similar courses, enabling faculty to share resources they create or curate from other sources. By creating a system for curating and tagging resources our hope is that faculty can more easily find high quality materials to utilize in their classes and more broadly disseminate good resources they create.
We will describe the project itself, describe resources we have created for faculty about how to design and produce online mathematics content, describe our tagging system for content submitted to our site as well as present our future goals for the project.
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