Thinking Outside the Tank
This article proposes asking students to consider the case of Tokitae, one of the Southern Resident Orcas, who has been in captivity since the 70s. Tokitae is 22 feet long, and lives in a 70-by-80-foot ellipsoidal pool. If she were human, how big would that space be? After a presentation of the historical context, time will be set aside for the assembled faculty to work in small groups and propose a variety of different answers and solution approaches, and possible places to pose this question in the math curriculum. Graphing technology applications for student use will be suggested.
Why Equity? I Thought I Was Already Teaching to Give My Students the Best Chance to Succeed
The presenter’s own struggles to introduce equitable practices in his mathematics classrooms will be used to encourage participants to share their experiences. Why is this an uncomfortable topic to discuss? What is the debate on equity vs. equality? What are the tensions that arise when a particular equitable practice is implemented in an actual classroom?
Multiple Methods of Assessment
Research has shown that lecture still works as a means of conveying academic content, but that it works better in conjunction with student-centered active learning. This presentation demonstrates an alternative to lecture for introduction to the shapes we call “The Conic Sections” and suggests an alternative method of assessment for the conic sections unit. By adapting and extending an activity used in high schools, I have created an entire unit that is activity based rather than lecture based. I will lead participants through the activity for discovering the ellipse and provide duplicable instructions for all of the conic sections.
Real Applications of the Details of Calculations of Limits
In practice, formulae may arise in a form that would entail divisions by zero. Occasionally, IEEE arithmetic magically still delivers the correct final result. Near the singularity, however, rounding errors are dramatically amplified. As a remedy, exactly the same algebraic simplifications used to find limits also lead to algebraically equivalent but more accurate formulae that are not as sensitive to rounding errors. In a different vein, the definition of the concept of limit provides a means to determine a number of iterations that guarantees a specified level of accuracy. Specific examples range from a first basic course in calculus to a first course in multivariable calculus.
Elizabeth Demong and Marty Cooksey
Financial Algebra: An Alternative to the Dev-Ed Sequence
As part of the larger Guided Pathways work happening on our campus, and across our state, faculty from the Math and College and Career Pathways (formerly Basic Studies) Departments have partnered in a large-scale overhaul of our approach to math education. A major component of the math redesign involved condensing and contextualizing the developmental math sequence in terms of financial algebra. This presentation will focus on our course design and content which scaffolds students from basic math to the rich information density they will encounter in transfer-level math courses. We will also present the alignment of contextualized learning outcomes with the traditional Dev-Ed sequence, and dual-credit courses for high school students.
Pre-College Sequence Redesign: Shorten, Split and Rethink the Path
Clark College recently converted from a four-quarter pre-college math sequence to two differentiated two-quarter pathways. This entailed developing a new “applied algebra” sequence with: targeted content focused on college readiness; study skills embedded to enhance student success; active learning as a large portion of class time; and teacher training. Learn what we did, why we did it, and how it’s going.
Using Team Folders to Enhance Collaborative Learning Interaction
When using collaborative learning in the classroom, it is often a challenge to get students interacting with each other thoughtfully about mathematics. Students often tend to work on their own with collaborative in-class learning activities, or cooperate more superficially. Creating a stronger sense of group/team identity in the classroom can help foster better teamwork. I will show how using a team folder with a team logo can help students identify as member of a team, which can in turn lead to better group collaboration and interaction. There will be time for discussion regarding improving in-class math collaboration.
Co-requiste Course Design and Implementation
Co-requisite support courses are meant to increase student success through earlier placement in college-level courses, with concurrent remediation and study skill development. This presentation will discuss the experience of faculty at Clark College designing and implementing these courses. This work is partially funded by a Washington College SPARK Community Grant.
Google Doc Collaborations for Active Learning
Active learning online? It can be done! Learn how to run a Google Doc collaboration through Canvas and see how we are using it at Clark College in our online pre-college math sequence. The process for setting up a collaboration in a Canvas shell will be presented. Examples of how this has been used in classes will be shown and participants will be invited into a google doc collaboration so they can interact through that page during the session and record ideas for using this in any type of math class.
Is Your Teaching Typical?
Learn how your classroom instruction compares with data on instruction collected through three sources: Transitioning Learners to Calculus in Community Colleges (TLC3, NSF IUSE 1625918), the National Survey of Community College Mathematics Chairs, the Fall 2015 Conference Board of the Mathematics Sciences (CBMS, Blair, Kirkman, & Maxwell, 2018) and the Community College Instructional Development Inventory (CC-IDI, San Diego State University, 2010).
Three different problems will be presented along with their very elegant proofs. The first is a modified Japanese Sangaku problem from 1800. An n sided convex polygon is inscribed in a circle and triangulated in any manner to yield (n - 2) triangles. A circle is inscribed in each of the inside triangles. We then show that the sum of the radii of these inscribed triangles is a constant regardless of the triangulation chosen! Second, we present Stanley's Theorem from 1972 that deals with partitions of +ve integers. This theorem states that the total number of 1's that occur among all partitions of a positive integer equals the sum of the numbers of distinct parts of those partitions. Third, we will show that on the average, a non negative integer has pi representations as the as the sum of squares of two integers! This result was discovered by Gauss around 1800.
Creating Accessible Math Documents
Chances are you have many handouts and class notes you have developed over the years. The process of converting math-notation-heavy documents to screen-reader accessible formats can be overwhelming and time consuming. Estimates claim the conversion time can be 10 to 1 when comparing STEM classes to other subjects. There is no one-stop-shop for file-conversion-help and support provided online is not always conveyed in layman's terms. If you are not a coder this can be particularly frustrating! Determining which file or coding languages will interface (and which will not) can be difficult. Producing accessible math documents will be the focus of this presentation. Technology to ensure a good experience for a screen-reader-dependent student will be discussed. Getting a variety of technology (such as Canvas, YouTube, Online Homework platforms and handouts generated in Microsoft Word) to play nicely together will also be covered. Still not sure if this presentation is for you? Confident coders and/or those who have prepared many screen-reader accessible math documents in the past, may find this presentation to be repetitive.
A Pragmatic Approach to “The Emporium Model”
Are you a cynic? Do you secretly or…not so secretly, believe “The Emporium Model” is just a fad that will pass – a top-down idea – where development-time will never truly provide a clear return on investment? Do you believe that mediocre outcomes will be the only fruits of your labor? Then this presentation is for you! We will look at the “non-negotiables” that should be incorporated, while looking at promising practices for a fresh implementation. A time to discuss common issues that arise when using this model will be included. Consider how each college’s culture may shape the programs and success rates. What will each group discover from discussion and sharing? Come to this sugar-free presentation to find out!
Mindfulness for Mathematics Leadership
Mathematicians usually receive little or no formal training in transitioning from the classroom to departmental leadership roles. Mindfulness training can help with the complex and varied challenges of leadership including focus/attention, interpersonal skills, and working skillfully with distractions. Many faculty may be aware of mindfulness as a common component of academic or corporate leadership training, but may be unsure of how to get started. This presentation will give attendees a foundation in mindfulness and a road map for developing their own customized leadership development program.
An Introduction to Data Science
Data scientist currently tops Glassdoor’s best jobs list. I’ll give an overview of data science, introduce common tools like the R programming language and Tableau visualization software, and lead a discussion of how to incorporate contemporary data science concepts and readings into an introductory statistics class.
Addressing High School to College Math Pathways in Washington
This session is an update on Bridge to College Math and Pathways initiatives. The goal is also to and perspectives on how we could think about math pathways in the critical transition period for students from the junior year in high school to the junior year in higher education.
Simple Equations for a Complex World
The University of Washington hosts Math Day every spring at its Seattle campus. The event is designed to show high school students from around the Pacific Northwest how mathematics gets used in science and engineering. The Applied Physics Laboratory (APL) is a University Applied Research Center founded by the U.S. Navy during World War 2 with the goal of bringing the knowledge and expertise of the academic community to bear on critical problems faced by U.S. naval forces during the war. Since then, APL has expanded its core mission and is a leader in basic and applied research across multiple disciplines including oceanography. APL participates in Math Day by presenting a seminar by a staff member, typically discussing some aspect of how mathematics is used in their research. The core of this talk is one that was presented at Math Day several years ago, with the goal of showing students how the mathematics they were learning in high school forms the basic tools that scientists use to solve complicated problems. This particular lecture discusses how geometrical reasoning, along with basic algebra and trigonometry, are used to understand how an aircraft-mounted camera was imaging breaking waves inside a hurricane.
Guided Pathways: Math Pathways for Students of Color (and Everyone Else)
This session will review the recent study that found instructor mindset is KEY to student success. We will focus on ways to help all students feel welcome, included, successful and capable in your classes, hopefully without increasing your work load. We will look at student populations, their needs and accommodations that are reasonable without negatively impacting your outcomes.
Let's Add Writing Anxiety on Top of Math Anxiety Yay!
What happened when I introduced writing in a precollege mathematics classroom? Discussion questions will include: what prevents us from assigning writing in our courses; what sorts of writing assignments should we assign; is there a framework we can use to create the assignments? The focus will be on short-responses writing assignments. Participants will be asked to share their experiences and writing assignments in their mathematics courses.
William T. Webber
The Unforgivable (Algebra) Curses
In the world of Harry Potter, imperio, crucio, and avada cadavra are the 3 unforgivable curses. In the world of Mathematics there are a corresponding 3 unforgivable algebra errors that are the curse of many students. I will discuss these 3 unforgivable errors, their prevalence in student work, reasons why they might be so prevalent, what I have done to erradicate them, and how successful I have not been in this eradication effort
Using WAMAP for Placement: A Roundtable Discussion
This roundtable discussion will explore the advantages and challenges of designing and implementing a customized math placement assessment delivered via WAMAP, drawing on experiences from colleges who have been using such a test for some time, those with tests currently in development, and those still considering this option.
Getting Off the Beaten Path
Math is about more than implementing formulas and algorithms. It is only when a problem is presented that evades formulaic techniques that creative problem solving begins. A problem is not worth doing if it is perceived as impossible; likewise, a problem is not worth doing if it is too simple. A good problem will be just barely out of reach. A fantastic problem will be just barely out of reach for a room full of students with varying skills and abilities. We will consider some fantastic math problems.
Emily Asher and Kurt Schaefer
Making History Useful in a Math Course
Are math and history two subjects that can be laced together into one course? For about 4 years we have been co-teaching two math courses, one in finance and one in pre-engineering preparatory math. The students learn the math, business and technology concepts, then learn the history and philosophy behind them.
Multicultural Studies in a Math in Society Course
Math in Society instructors sometimes incorporate ethnomathematics, the anthropology of mathematics. This presentation will explore: (a) cross-cultural mathematical studies, (b) addressing cultural biases in mathematics education, (c) where to find open-education resources on this topic, (d) teaching the course at a prison (Cedar Creek Corrections Center), and (e) anything else that sounds fun.
Preston Kiekel and Kurt Schaefer
Credit-Bearing Higher Education Coursework in Prisons
Teaching in a prison requires a very adaptive frame of mind, and means relinquishing classroom resources many instructors take for granted. However, it is extremely gratifying, and students are extremely dedicated. Professors Kiekel and Schaefer discuss their experiences teaching credit-bearing college-level course work in prison facilities. Courses the instructors have taught in prisons include Algebra, Introduction to Statistics, History, Psychology, and Math in Society.