Mathematical Affections: Assessing Values in the Math Classroom

I will be speaking on “Mathematical Affections: Assessing Values in the Math Classroom” at the 2013 ACMS Conference. Here is the abstract for the talk:

“When am I ever going to use this?” As a math teacher, this is the number one question that I hear from students. It is also a wrong question; it isn’t the question the student truly intended to ask. The question they are really asking is “Why should I value this?” and they express their inquiry in terms of practicality because that is the language in which their culture has conditioned them to speak. While the utility of mathematical concepts are certainly important, we as educators need to utilize the mathematics classroom to address the more fundamental issue of fostering a proper sense of values. Learning has little meaning unless it produces a sustained and substantial influence on the way people think, act, feel, and ultimately worship. According to the NCTM standards it is through assessment that we most clearly communicate to students what aspects of mathematics are to be valued. This talk will address two essential questions:

1) Why is it necessary to develop assessments that equip students to not only know and practice but also love that which is true, good and beautiful?

2) How do we design worthwhile mathematical assessments that synthesize something seemingly non-objective like personal values with something seemingly non-subjective like mathematics?

The title of this talk is in homage to Jonathan Edwards’ Treatise on Religious Affections. Edwards’ goal was to discern the true nature of religion and in so doing dissuade his congregation from merely participating in a Christian culture (a mimicked outward expression) and motivate them to long for true Christian conversion (an inward reality of authentic Christian character). The purpose of this talk is to engage ACMS members in discerning the true nature of mathematical assessment and how we use it in the classroom: does it simply mimic the modern culture of utility by requiring outward demonstrations of knowledge retention and application, or does it aim deeper at analyzing true inward character formation? In closing, examples of affective mathematical assessments will be presented as resources for consideration and classroom use.

I also have the honor of serving as a panel member for a session on service-learning organized by Dr. Karl-Dieter Crisman of Gordon College. Here is the abstract on that talk:

Many of us have wanted to incorporate service experiences in courses, or are being asked by our institutions to do so. Service-learning is a way of looking at service as being a partner with and leading to learning for our students. But in math, there are not a lot of resources to use! Our panelists will present classroom-tested ideas from several different levels of course, and we will end with a short time for more brainstorming among all participants.

I will share more details on both of these talks as the conference draws near. For now, here are links to some related posts on GodandMath.com as well as other sites:

PRIMUS and Service-Learning

Serving Through Statistics

CAMT 2012 Presentation

God, Math, and Order

Service-Learning Session from 2011 Joint Math Meetings (Organized by Dr. Crisman)

CAMT 2012 Presentation

Please read my previous post on Serving Through Statistics for a summary of the concept behind this class project. Below you will find the presentation that I gave at CAMT 2012 over this project as well as links to resources and project details.

Click the image above for the complete PowerPoint presentation on “Serving Through Statistics.”

Service-Learning Resources:

Mathematics Resources from the National Service-Learning Clearinghouse

An Introduction to Statistics Syllabus with a Service Component

The journal PRIMUS announces an issue dedicated to service-learning resources

General Project-Based Learning Resources from Edutopia

Serving Through Statistics Project Components:

Overview of Serving Through Statistics on the Navasota ISD Teaching and Learning Blog

My initial proposal to students on the idea of a service-learning project (much borrowed from the Intro to Stat syllabus linked above)

Voting form for subject of project and project managers

Proposal developed by project managers

Initial article on the project in the Navasota paper

Survey on Google Forms: English Version   Spanish Version

Results from Google Forms

Presentation Students Gave to Navasota ISD School Board

Presentation Students Gave to Navasota City Council

Publication of results in the Navasota paper

Student Self-Evaluation Form

Project Manager Evaluation Form

Guidelines for Final Write-Up

Serving Through Statistics

Whoever wishes to become great among you shall be your servant, and whoever wishes to be first among you shall be your slave; just as the Son of Man did not come to be served, but to serve, and to give His life a ransom for many.

~ Matthew 20:26-28

I wanted to do things a little differently with my AP Statistics spring project this year. I found in the past that the cumulative project I assigned in the spring (where students designed an experiment, collected data, and used a statistical inference procedure to draw conclusions) just didn’t hold their interest, and therefore the projects didn’t reflect the students’ best work. You have to keep in mind these are high school seniors getting ready to graduate, their GPA is pretty much set in stone regardless of their grade on this project, and they have already taken (and passed, I hope) the AP Stat exam. For some reason they didn’t want to go the extra mile on this stat project simply because it was an interesting application of statistics. Weird right?

Wrong.

Looking back, as a student I would probably approach the project with the same indifferent attitude. The solution? Make the project something truly meaningful that the students have a vested interest in. Of course this is easier said than done. As I racked my brain thinking of ideas I was blessed to receive this notice from PRIMUS (which I posted here on GodandMath):

The journal  PRIMUS announces a special issue on Service-Learning. Kelly Black, Karl-Dieter Crisman, and Dick Jardine will be guest editing the special issue, inspired by a MAA Contributed Paper Session on this topic at the Joint Meetings in 2011.

Service-Learning connects service to the community with academically-based learning. This is a growing concern on college campuses, sometimes even a mandate, but the mathematical sciences are often seen as a more challenging environment to bring service into the classroom.  In particular, there are only a few resources widely available on this topic specifically geared toward collegiate mathematics.  This PRIMUS special issue aims to provide a significant addition to this literature, with a number of tested ideas in a single volume as a pedagogical resource.

I thought a service-learning project would a be a great way for students to apply what they have learned in the classroom to their local community, and all in the context of serving – a Christian maxim that is easy to sell in a public school environment.

After a quick Google search I cam across the National Service-Learning Clearinghouse and their Mathematics resources. This was a valuable resource for me in planning out this project (especially Mark C. Hampton’s Introduction to Statistics syllabus).

I presented the idea to my students and I was amazed to see how excited they became over the project. They quickly determined the focus of their study: evaluating the aid provided to victims of Texas wildfires from last summer. The wildfires had come through our county and affected the lives of many of the students, their family, and their friends. I believe the ownership the students felt in selecting a topic so close to their hearts, as well as the incentive of presenting their results publicly (a commitment was made at the beginning of the project to present the results before the city council and to publish them in the local paper), truly made the project more meaningful. This resulted in motivated and dedicated students, new and interesting learning opportunities, and one amazed teacher.

I knew my students were awesome, but this brought it to a whole new level.

For more details on the organization and implementation of the project I invite you to visit Navasota ISD’s Teaching and Learning Blog for a nice write-up. Below is a video that the district so graciously put together:

I also had the fortune of being a finalist for the HEB Excellence in Education Awards. As part of the awards program, a film crew surprised me in my classroom and did an impromptu interview on this project. Below is their completed video:

If you would like more details, I will be giving a presentation over this project at CAMT (Conference for Advancement in Mathematics Teaching) this summer. Here is a link to the online catalog with the description of “Serving through Statistics.” Below are the mathematical/pedagogical goals of this presentation:

The goal of this presentation is to equip participants with the tools to successfully implement a project that synthesizes the major concepts of AP Statistics: experimental design, data analysis, and statistical inference. Through this project students will integrate their conceptual understanding of statistics with the practical functioning of their local community, ultimately gaining a deeper appreciation for the role statistics plays in the organization and evaluation of service societies.

My hope is to implement more projects like this next year and to begin expanding them to the other subjects I teach.

Geometry, I have you in my sights…with this idea.