PRIMUS: Cultivating a Productive Disposition Toward Mathematics by Engaging in Service-Learning

I have had the good fortune of being recently published in the journal PRIMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies).

unnamed (6)

The article stems from my dissertation research and the examples of service-learning that I have shared on this site. I hope it presents a convincing case for the benefits of implementing service-learning in your classes.

If you don’t have access to PRIMUS and would like a free copy of the article, please feel free to email me at jwilkerson<at>regentsaustin<dot>org.

ABSTRACT:

This research explores the positive impact of service-learning on the disposition of students in mathematics. This was a qualitative case study of high school AP Statistics students who completed a service-learning project. Data were gathered from student interviews, reflection journals, and field observations. The framework for the analysis follows the definition of “productive disposition” offered by the National Research Council and that remains foundational to the Common Core Standards for Mathematical Practice. The major themes that emerge from the data indicate that through service-learning, students see math as sensible, useful, and worthwhile. This supports the potential of service-learning as a pedagogical tool that can be utilized to develop a productive disposition in students; addressing at a practical level how the affective objectives of national policy documents can be achieved.

The Regents Podcast: Practical and Service Applications of Math

The Regents Podcast is aimed to think about and equip how we practice that which is true, good, and beautiful in a 21st century context. The podcast gives Regents School of Austin a format to share with our community and beyond the amazing stories happening on our campus, and help equip parents shepherding their children’s hearts.

I was recently a guest on the podcast, along with four students from my AP Statistics class. We were invited to discuss their service-learning project in which they parter with a local homeless ministry for survey research and evaluating organizational effectiveness. You can listen to the podcast here. 

Podcast summary:

Dr. Josh Wilkerson and a group of four AP Statistics Students (Cade Morris, Caroline Hooten, Lucy Gifford, and Chris Kuhlman) talk about their class survey/data analysis project with Mobile Loaves and Fishes and how they were impacted by the residents at the Community First! Village.

Note: this conversation was recorded last Spring and the Junior students who were involved are now Seniors!

Screen Shot 2019-12-09 at 7.58.55 PM

AP with WE Service Learning Summit

AP and the College Board have partnered with WE to bring WE’s internationally recognized service-based learning framework and resources to AP courses, so students can use what they’re learning to tackle real-life social issues and challenges.service-learning to the AP classroom. Microsoft hosted the inaugural AP with WE Service Teacher Summit at their headquarters in Redmond, WA, March 4-5, 2019.

This event was an opportunity for teachers to meet fellow AP teachers, strengthen their implementation of AP with WE Service, learn best practices, and hear from Microsoft staff. A total of 50 teachers were selected to attend.

What follows below is the outline of the presentation I was asked to give at the summit on cultivating student affections through service-learning. I hope to be able to share the video of the presentation soon.

Screen Shot 2019-03-03 at 10.07.44 AM.png

My name is Josh Wilkerson and I teach AP Statistics. I also teach other math courses and as a math teacher there is one big question that I am often asked. You are probably asked it to in your other disciplines, but it is especially prevalent in math. The question usually is accompanied by the student having his kind of expression…

Screen Shot 2019-03-03 at 10.07.53 AM

Help me out, what is the big question? (Audience: when am I ever going to use this?)

Screen Shot 2019-03-03 at 10.08.04 AM

When am I ever going to use this (said in an exasperated way). It is never “When? When I am going to get to use this!?” (said in an excited way). Rather it is a dismissive question. Since we are at a conference on service-learning you might think you know where this is going. However, I hope to lead you in a slightly different direction. If we are honest with ourselves, how we respond to the student varies based on our mood at the time. In the best of scenarios we can give them a meaningful future application. In other scenarios we respond with how they will need the information for their next course, or more immediately, they’ll need it for the test next Tuesday.

I would like to pose to you that none of those answers are sufficient because, if we are being even more honest with ourselves, we know that the student isn’t really asking a question. The student is making a statement – a statement that they feel validates their disengagement from the lesson. I would also like to pose to you that if you were to translate their statement to an actual question it would be this…

Screen Shot 2019-03-03 at 10.08.17 AM

Why should I value this? I would argue that this is the most fundamental question to address in any classroom, even (or especially) mathematics. If we respond to the student’s surface level application question with cognitive information we will always have a disconnect. The student is actually longing for affective formation – however you want to parse that, into motivation or engagement or attitude or something else. The main thing is it is more than just being about what they know.

This is not only true for students. Close your eyes for a minute and imagine a great moment in your teaching career – something where everything was clicking and you were thinking “this is why I got into teaching.” Give me a word or short phrase to describe the mental image you came up with (solicit audience responses).

Notice that none of you told me “pythagorean theorem,” or “Great Gatsby,” or “mitosis.” None of you gave me content. Now, to be sure, the content was still there and was still operating on a high cognitive level I’m sure. My point is to not to dismiss content, but to perhaps reorient us on the primary objective of a classroom.

Screen Shot 2019-03-03 at 10.08.28 AM

These aren’t just our feelings. The importance of affect in education has been documented in research.

Screen Shot 2019-03-03 at 10.08.38 AM

Not only in research, but also in positional standards. I have here a few in mathematics but I’m sure that you can find something similar for any discipline. So with all this agreement and support, how are we doing?

Screen Shot 2019-03-03 at 10.08.51 AM

(Read slide). This quote is from 1992 but it is not dated. I know that it is not dated because, as I mentioned at the beginning, I’m a math teacher. Whenever I introduce myself to anyone and the topic of what I do for a living comes up, these are the number one responses I receive. Math teachers may be second only to priests in the number of confessions they take.

This is what keeps me up at night. This is what I want my classroom to address. How do we do that?

Screen Shot 2019-03-03 at 10.09.00 AM

We don’t do it by changing content or even focusing on student beliefs – we do it through rich experiences. The experience of the math classroom needs to change.

Screen Shot 2019-03-03 at 10.09.08 AM

THIS is where I think service-learning is powerful. Not as an answer to application, but as an answer to offering rich and meaningful experiences in the math classroom.

How are the affections of the student impacted when we change the experience of math class from this…

Screen Shot 2019-03-03 at 10.09.21 AM

To this.

Screen Shot 2019-03-03 at 10.09.33 AM

For the past three years my stats students have partnered with a local homeless ministry in Austin for survey research. Here is how they responded to a survey I gave them at the end of the year.

Screen Shot 2019-03-03 at 10.09.53 AM

Screen Shot 2019-03-05 at 1.36.44 PMScreen Shot 2019-03-05 at 1.36.35 PM

Screen Shot 2019-03-03 at 10.10.17 AMScreen Shot 2019-03-03 at 10.10.24 AM

Transition through graphs – point to growth in content knowledge but then also appreciation.

Yes service learning is application – but it is so much more than that. Through service learning we can shift student postures to ones of self-service (when will use this?) to the service of others. Ultimately their education is not just about them.

Let me close with some words from a student who began the year with a very negative attitude towards mathematics and that improved over the course of the service-learning project. I asked him about it and this is what he said.

Screen Shot 2019-03-03 at 10.10.33 AM

(After first bullet) I like this quote because I’m also a realist – I’m not setting out to make everyone always enthusiastic about math. But there are steps we can take and I think this student took them.

Why should I value this? Because it will benefit me and it will benefit others.

Thank you.

Screen Shot 2019-03-03 at 10.10.45 AM

 

APAC 2018: Service-Learning and Statistics

Screen Shot 2018-07-20 at 1.36.45 PM.png

This week I am leading a workshop at the 2018 AP Annual Conference on “Statistics and Service-Learning” in Houston, TX. The talk is on integrating service-learning projects into AP Statistics curriculum, specifically with the goal of impacting students on an affective level.In addition to the resources that you will find below, feel free to check out some of the prior posts on service learning:

ABSTRACT:

This session will equip participants to design, implement, and evaluate AP Statistics service-learning projects in which students partner with nonprofit organizations in their local community. These projects synthesize the major concepts of experimental design, data analysis, and statistical inference in the real-world context of community service. Through these projects students integrate their conceptual understanding of statistics with the practical functioning of their local community, ultimately gaining a deeper appreciation for the role of statistics in the organization and evaluation of service societies.

PRESENTATION:

You can click the image below to find the PowerPoint that accompanied my presentation.

 

Screen Shot 2018-07-20 at 1.40.54 PM.png

For many of the service-learning projects that my students have completed I am indebted to the willing partnership of Mobile Loaves and Fishes. Here is some introductory information on this great ministry:

Community First! Village Goes Beyond Housing for Austin Homeless, from the Austinot

10 THINGS TO CONSIDER BEFORE IMPLEMENTING A SERVICE-LEARNING PROJECT:

The following are the foundational questions that you as an instructor should consider and reflect upon prior to implementing a service-learning project. This list is not meant to be chronological though some aspects will naturally precede others. Start by considering the course learning objectives and your method of assessing those objectives and then go from there.

1.What are the major learning objectives/big ideas/enduring understandings for your course?

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes:

  • Exploring Data: Describing patterns and departures from patterns
  • Sampling and Experimentation: Planning and conducting a study
  • Anticipating Patterns: Exploring random phenomena using probability and simulation
  • Statistical Inference: Estimating population parameters and testing hypotheses

2. What are real-world situations where students can apply the concepts studied in your course?

  • Identifying a non-profit service agency which requires survey research (program evaluation, client needs assessment, etc.)
  • Students develop a survey instrument, conduct survey, compile and code data, analyze data, present results

3. List some potential community partners along with some basic descriptors that may impact how your students work with each partner (ex: What is the size of the organization? What issues does the organization address? Is the organization non-profit, governmental, religiously affiliated? Etc.) In lieu of a partner organization you can also consider a general community need for students to address. List some general descriptors of the project involved in addressing this community need.

4. Look for potential matches between organizations on your list from question 3 and your responses to questions 1 and 2. If there are multiple potential matches then consider the pros/cons of each and list them. Be sure to recognize how your matching affects the organization of the project (large scale as a class v. small scale as groups), which in turn may affect your response to question 5 below.

5. Once you have begun narrowing potential community partners that offer opportunities for students to interact with course content, consider how will you assess students? What will be the final product? What expectations will you have for students throughout the project and how will you communicate that to the students?

6. How will students be organized to meet the objectives that they will be assessed on? Will students work as individuals, teams, as a whole class?

7. How will students be equipped to complete the project successfully? What will they have gained from the course up to the point of assigning the project that will aid them? What additional tools/skills/knowledge will students need as the project proceeds?

8. What will be the timeframe for the project? How will students be held accountable to the timeframe? At what points will students receive feedback on their progress?

9. Why should students care about the project? What will you do as an instructor to get student buy-in on the project?

10. How will students reflect throughout the project? What opportunities will you provide for students to pause and consider the work they have done?

HANDOUTS:

From my AP Statistics Project 2018:

Screen Shot 2018-07-20 at 1.57.49 PM

(Clicking the image above will take you to the students’ final presentation)

From my AP Statistics Project 2016-17:

Screen Shot 2016-06-29 at 1.09.07 PM

Screen Shot 2016-06-29 at 1.10.27 PM

From my 2015-16 AP Statistics Project (Organized as an entire class project over the full year):

From my 2014-15 AP Statistics Project (Organized as small group projects in the spring semester):

*NOTE: some documents above were also used in this project, either in the form in which they are posted above or in a slightly modified version

EXTERNAL RESOURCES:

 

Service-Learning in Mathematics Workshop

Screen Shot 2017-06-09 at 11.57.58 AM

 

Regents School of Austin, where I teach, will be hosting an institute for teachers and I’ll be leading a workshop on implementing service-learning in math courses. The target audience is math teachers at any level K-16 or pre-service math teachers.

Here are the details:

This workshop will assist you in developing successful service-learning projects in mathematics. Service-learning projects engage students in integrating their conceptual understanding of mathematics with the practical functioning of their local community. Ultimately students gain deeper content knowledge and a deeper appreciation for the role math plays in society.

Several examples of service-learning projects will be presented in detail from geometry and statistics, as well implementable ideas for other math courses. You will have the opportunity to brainstorm and work in conjunction with other educators to analyze the key components of a successful project, engage in discussion assessing the feasibility and logistics of implementing service projects in your own curriculum, critique project evaluation rubrics, and begin the design of your own service-learning project.

You will leave this workshop equipped to:

  • Determine the keys to a rewarding service-learning experience (after hearing personal testimony from students and community partners)

  • Modify and implement sample materials from past Regents projects (including project descriptions, calendars, and grading rubrics)

  • Connect the enduring understandings of your course with a community need

  • Evaluate student learning outcomes in keeping with your curriculum

  • Engage students with meaningful applications of math in the personal context of their local community

If you are interested, here is the link to registration page (that contains further details). 

The cost is $250 for the service-learning in math session (this isn’t completely clear on the registration page). Feel free to contact me if you have any questions and please share with colleagues that you think might be interested.

SCL 2017: Cultivating Mathematical Affections through Service-Learning

This week I am giving a presentation at the 2017 Society for Classical Learning (SCL) conference on “Cultivating Mathematical Affections through Service-Learning.” The talk is on integrating service-learning projects into mathematics curriculum, specifically with the goal of impacting students on an affective level. Since this is my dissertation topic, I’ve presented on it numerous times before – and now that my dissertation is done (!), I hope to finally be able to devote more time to building out resources on this site. In addition to the resources that you will find below, feel free to check out some of the prior posts on service learning:

ABSTRACT:

This session will examine the benefits of service-learning projects in mathematics. Service-learning projects engage students in integrating their conceptual understanding of math with the practical functioning of their local community. Ultimately students gain deeper content knowledge and a deeper appreciation for the role math plays in society.

PRESENTATION:

You can click the image below to find the PowerPoint that accompanied my presentation.

Screen Shot 2017-06-18 at 8.53.29 PM

For many of the service-learning projects that my students have completed I am indebted to the willing partnership of Mobile Loaves and Fishes. Here is some introductory information on this great ministry:

How a Food Truck, Faith and Community Welcomes the Homeless, from the Huffington Post.

“Teaser” for Inferno Films latest feature documentary. from layton blaylock on Vimeo.

10 THINGS TO CONSIDER BEFORE IMPLEMENTING A SERVICE-LEARNING PROJECT:

The following are the foundational questions that you as an instructor should consider and reflect upon prior to implementing a service-learning project. This list is not meant to be chronological though some aspects will naturally precede others. Start by considering the course learning objectives and your method of assessing those objectives and then go from there.

1.What are the major learning objectives/big ideas/enduring understandings for your course?

2. What are real-world situations where students can apply the concepts studied in your course?

3. List some potential community partners along with some basic descriptors that may impact how your students work with each partner (ex: What is the size of the organization? What issues does the organization address? Is the organization non-profit, governmental, religiously affiliated? Etc.) In lieu of a partner organization you can also consider a general community need for students to address. List some general descriptors of the project involved in addressing this community need.

4. Look for potential matches between organizations on your list from question 3 and your responses to questions 1 and 2. If there are multiple potential matches then consider the pros/cons of each and list them. Be sure to recognize how your matching affects the organization of the project (large scale as a class v. small scale as groups), which in turn may affect your response to question 5 below.

5. Once you have begun narrowing potential community partners that offer opportunities for students to interact with course content, consider how will you assess students? What will be the final product? What expectations will you have for students throughout the project and how will you communicate that to the students?

6. How will students be organized to meet the objectives that they will be assessed on? Will students work as individuals, teams, as a whole class?

7. How will students be equipped to complete the project successfully? What will they have gained from the course up to the point of assigning the project that will aid them? What additional tools/skills/knowledge will students need as the project proceeds?

8. What will be the timeframe for the project? How will students be held accountable to the timeframe? At what points will students receive feedback on their progress?

9. Why should students care about the project? What will you do as an instructor to get student buy-in on the project?

10. How will students reflect throughout the project? What opportunities will you provide for students to pause and consider the work they have done?

HANDOUTS:

From my AP Statistics Project:

Screen Shot 2016-06-29 at 1.09.07 PM

Screen Shot 2016-06-29 at 1.10.27 PM

From my Geometry project:

Screen Shot 2016-06-29 at 1.08.28 PMScreen Shot 2016-06-29 at 1.08.42 PM

Screen Shot 2016-06-29 at 1.38.50 PM

EXTERNAL RESOURCES:

ACMS 2017: Cultivating Mathematical Affections through Engagement in Service-Learning

Here is some information on my talk at the 21st ACMS Conference (2017) at Charleston Southern University.

Abstract:

Why should students value mathematics? While extensive research exists on developing the cognitive ability of students, very little research has examined how to cultivate the affections of students for mathematics. The phrase “mathematical affections” is a play on the affective domain of learning as well as on the general notion of care towards something. Mathematical affections are more than a respect for the utility of the subject; the term is much broader and includes aesthetic features as well as habits of mind and attitude.

This paper will analyze the findings from a research project exploring the impact of service-learning on the cultivation of mathematical affections in students. This was a qualitative case study of high school students who recently completed a service-learning project in their mathematics course. Data was gathered from student interviews, reflection journals, and field observations. The framework for the analysis follows the definition of “productive disposition” offered by the National Research Council (2001) as well as the concept of formative “cultural liturgies” offered by the philosopher James K.A. Smith (2009).

The major themes that emerge from the data indicate that through service-learning students see math as sensible, useful, and worthwhile. This supports the potential of service-learning as a pedagogical tool that can be utilized to develop a productive disposition in students; addressing at a practical level how the affective objectives of national policy documents can be achieved.

PowerPoint:

Screen Shot 2017-06-01 at 10.21.51 PM

References:

Goldin, G.A. (2002). Affect, meta-affect, and mathematical belief structures. In G.C. Leder, E. Pehkonen, & G. Törner (Eds.),  Beliefs: a hidden variable in mathematics education? Netherlands: Kluwer Academic Publishers, pp. 59-72.

Hadlock, C. R. (2005). Mathematics in service to the community: Concepts and models for service-learning in the mathematical sciences (No. 66). Mathematical Association of America.

Krathwohl, D.R., Bloom, B.S., & Masia, B.B. (1964). Taxonomy of educational objectives: Handbook II. Affective Domain. New York: Longman.

National Research Council (2001). Adding it up: Helping children learn mathematics. Washington D.C.: National Academy Press.

Smith, J.K.A. (2009). Desiring the kingdom: Worship, worldview, and cultural formation. Grand Rapids, MI: Baker Academic.

Wilkerson, J. (2015). Cultivating Mathematical Affections: The Influence of Christian Faith on Mathematics Pedagogy. In Perspectives on Science and Christian Faith, 67(2), 111-123.

Using Math to Fight Homelessness

(From Arches, a magazine published by Regents School of Austin)

AP Statistics student Vanessa Aguirre shares how their class harnessed the power of surveying, statistics and service to help the Mobile Fishes and Bread ministry in their efforts to combat homelessness in Austin.

On a rainy Tuesday morning, the thirty-six AP Statistics students walked through the Community First! Village of Mobile Loaves and Fishes, a local Austin non-profit focusing on the needs and betterment of the homeless community. The community village this organization founded is a beautiful, solitary sanctuary, with mini-homes right out of a housekeeping magazine and gardens dotting the landscape. Weaving through the clusters of houses and RVs, the high school students knocked on doors and waited with baited breaths, holding copies of a survey they helped design for the residents of the village.

“I was pretty nervous,” senior Lydia Strickland said.

Over the course of the morning, the students went from door to door, talking to the residents and sharing their stories, working to fill the survey as their school project that would help Mobile Loaves and Fishes (also known as MLF) in its aim to fight homelessness. The math students worked in tandem with MLF to, ultimately, answer the question: Does a lack of community cause homelessness? The high school students used ideas and concepts learned throughout the year to edit, carry out, and analyze a survey given to the residents living in the community village the non-profit has made.

Screen Shot 2017-05-11 at 9.06.41 AM.png

This question is largely based on Bruce K. Alexander’s “Rat Park” study, where Alexander and other scientists set up a study administering drugs to rats not in isolated cages, but in communities with a positive environment, and found that the drug intake of rats went down dramatically. This shows that environment and community play a significant role in drug use—and leads others to wonder if more than just drug use can be improved. The AP statistics and MLF worked together to explore this train of thought, and to reaffirm MLF’s community-based program.

Homelessness is, after all, a very real problem. According to the National Alliance to End Homelessness, there were 564,708 homeless people in the United States in January of 2015, 15% of which were considered chronically homeless. More pragmatically, each homeless person costs taxpayers around $14,480 a year. When you do the math, that amounts to homelessness costing more than eight billion annually.

Not only does homelessness affect those directly involved, but it impacts society as well. Efforts to curb homelessness will have a positive impact on everyone. As a large and established homeless outreach ministry based in Austin, Mobile Loaves and Fishes attempts to do just that—curb, and ideally eventually end, homelessness and the factors behind it. In partnering with the AP Statistics students of Regents School of Austin, MLF hoped to gain more data on the effectiveness of their Community First! Village and the philosophy that poor environment and lack of community are the root problems of homelessness.

“We believe what we’re seeing anecdotally on the property is being verified through the statistical analysis, so we love this [the AP Statistics project,]” Alan Graham, Mobile Loaves and Fishes co-founder and director, said. “It confirms our model at Community First, that the only model that’s going to move the needle in a significant way is a kingdom-based model that’s all about community. So we need that data.”

Not only has the AP Stats project helped as a service, but it’s also helped as learning tool for the students, giving them a deeper appreciation of the concepts they learned in class.

“I liked the real-world application,” junior Emily Raeder said. “That was great.”

Screen Shot 2017-05-11 at 9.06.53 AM.png

This service-learning model is meant to lead students into developing higher-order critical thinking, in a real-world environment, where service to the community (such as alleviating homelessness) is presented as crucial to the course objectives and larger applications of education. Dr. Wilkerson, the Regents AP Statistics and Calculus teacher, sees service-learning as a valuable tool in math education.

“I think it helps because you get to use statistics in a real-life situation that’s meaningful in an immediate context,” he said. “Students realize that what you learn in math class aren’t things you would just have to do down the road, in the distant foggy future. Students learn the connection between helping people and using statistics, and they learn it on a deeper level.”

The project showed that math and making a difference in the world can go hand in hand. In order to help Mobile Loaves and Fishes and its residents, the AP Statistics students at Regents had to learn exploratory data analysis, data collection, probability, and statistical inference. On top of all this, students also got to practice their speaking skills. Students presented the results to representatives from MLF, the culmination of the class’s hard work.

The high schoolers also got a better appreciation of how even the little things can affect the world around them.

“I talked to this one man who talked about what a difference people who give out bags with goodies at stoplights made, that it made his day,” one junior said. “He said those things made a big difference. But we don’t put much thought into it.”

These math students may just be proof that math really can accomplish anything.

Screen Shot 2017-05-11 at 9.07.02 AM.png

Summer Institute on Service-Learning in Mathematics

 

Screen Shot 2017-04-21 at 9.13.27 AM

Regents School of Austin, where I teach, will be hosting a summer institute for teachers and I’ll be leading a workshop on implementing service-learning in math courses. The target audience is math teachers at any level K-16 or pre-service math teachers.

Here are the details:

This workshop will assist you in developing successful service-learning projects in mathematics. Service-learning projects engage students in integrating their conceptual understanding of mathematics with the practical functioning of their local community. Ultimately students gain deeper content knowledge and a deeper appreciation for the role math plays in society.

Several examples of service-learning projects will be presented in detail from geometry and statistics, as well implementable ideas for other math courses. You will have the opportunity to brainstorm and work in conjunction with other educators to analyze the key components of a successful project, engage in discussion assessing the feasibility and logistics of implementing service projects in your own curriculum, critique project evaluation rubrics, and begin the design of your own service-learning project.

You will leave this workshop equipped to:

  • Determine the keys to a rewarding service-learning experience (after hearing personal testimony from students and community partners)

  • Modify and implement sample materials from past Regents projects (including project descriptions, calendars, and grading rubrics)

  • Connect the enduring understandings of your course with a community need

  • Evaluate student learning outcomes in keeping with your curriculum

  • Engage students with meaningful applications of math in the personal context of their local community

If you are interested, here is the link to registration page (that contains further details). 

A word on cost (as I know it is high, and also out of my control). If someone is interested the workshop (setting price aside), please contact me and I will try to make it work. I would really love for anyone interested to attend and not have cost be a hurdle.

Feel free to contact me if you have any questions and please share with colleagues that you think might be interested.