Moving Beyond Militarized Language in Mathematics Education

A Pedagogical Messaging Working Group
by Leah Gaines, Michael Lolkus, Nick Love, Jeremiah Morgan, & Rhonda Pierre

This summer, CPM curriculum developer and researcher Michael Lolkus joined CPM’s Teacher Research Community (TRC) in reading Dr. Ilana Horn’s (2007) article, Fast Kids, Slow Kids, Lazy Kids: Framing the Mismatch Problem in Mathematics Teachers’ Conversations. A central argument in Dr. Horn’s paper is that the language we use to discuss students reflects our beliefs about them and their capabilities (i.e., our “category systems”). The discussions about this article at TRC sparked Lolkus to reflect on the category systems he draws on when discussing teachers and students, and what that reveals about his underlying beliefs. For instance, Lolkus repeatedly referred to teachers returning to the program as “veterans.” In isolation, this term is not inherently negative. The word “veteran” is part of a broader militaristic category system, and military veterans are often honored and revered. However, we now recognize that much of the language used to describe mathematics teaching and learning draws on militarized references that do not reflect the goals of teaching and learning in inclusive environments. In terms of Horn’s paper, in a militarized category system, teachers are considered as working in the “trenches” or on the “front lines,” and research and professional learning investigate and elevate “battle-tested” innovations. These descriptions frame schools as war zones and teachers as soldiers.

Those of you who follow CPM’s Teacher Research Community may have noticed that the program recently changed its name from the previous Teacher Research Corps. “Corps” is also a military term, used to denote a specific organized military unit, with its etymology stemming from the Latin word for body (e.g., a body of troops). Conversely, “community” evokes feelings of responsiveness, mutual support, and a sense of family. 

We believe that the category systems we use make a difference in how we go through the world as individuals and how we engage in our work as mathematics educators. For example, what if an argument wasn’t a battle to be won but a dance between two cooperative parties? How might different metaphors shift our attitudes and treatment of each other (e.g., Lakoff & Núñez, 2013)? We can do similar thought experiences with our category systems in education. Shifting our category systems won’t be easy: the militaristic metaphors are deeply rooted, as conceptions of teaching have historically been closely tied to national defense. For instance, under the direction of Terrell Bell, the National Commission on Educational Excellence’s release of A Nation at Risk in 1983 stoked fear that the United States would lose international competitions to Russia and Japan, amidst the backdrop of the Cold War. Similarly, George W. Bush’s reauthorization of the Elementary and Secondary Education Act, better known as the No Child Left Behind Act of 2001, drew on militarized language akin to the “Leave No Man Behind” culture maintained in the armed forces. The list goes on.

International Competition and Dominance → Care and Concern

As we consider aligning the category systems we use in everyday conversations with research-informed visions for a more just and humanizing mathematics education, we are reminded of Shirin Vossoughi & Sepehr Vakil’s (2018, p. 15) reimagined goals and purposes of working toward racial diversity within STEM. These reimagined goals and purposes pivot from the language of international competition and dominance to care and concern. The table below uses their ideas to juxtapose two different perspectives on the value of diversity in classrooms and the workforce—competition versus deep moral concern. 

Diversity as rooted in U.S. competitiveness and hegemony

Diversity as rooted in deep moral concern for students of color

  1. Culturally and linguistically diverse STEM workers as tied to expanding markets
  1. Culturally and linguistically diverse knowledge producers as tied to expanding and democratizing the meanings, values, and purposes of STEM education
  1. Token representation as tied to perceptions of multicultural democracy
  1. Substantive representation as tied to the redistribution of power and the struggle for social, racial, and educational justice
  1. Expanding the pool of qualified domestic labor so that U.S. technological innovation can dominate markets and secure military hegemony
  1. For some, expanding the pool of qualified domestic labor as tied to economic/social mobility and community development; for others, diversifying STEM education as tied to building a future free of racial hierarchy and economic exploitation
  1. Closing the “achievement gap” as tied to improving international measures of STEM excellence
  1. Reimagining and transforming education such that all students (in the United States and around the world) have access to intellectually respectful learning experiences and the resources to fulfill their individual and collective potential

What’s Next?

Consider the terms provided in the following table. Share suggestions for alternative terms or phrases that might more accurately reflect mathematics teaching and learning that centers on students’ histories and humanities. 

Existing Examples of Militarized
Category Systems

Alternative, Historicized and Humanized Category Systems

Battle-Tested Innovations

 

Divide and Conquer

 

Mathematics Boot Camps

 

Veteran Teachers

 

Working in the Trenches

 

The Pedagogical Messaging Working Group consists of representatives from CPM’s Curriculum, Marketing, Professional Learning, and Research teams who come together to discuss communication about mathematics teaching and learning.

References

Horn, Ilana S. (2007). Fast kids, slow kids, lazy kids: Framing the mismatch problem in mathematics teachers’ conversations. Journal of the Learning Sciences, 16(1), 37–79.

Lakoff, George, & Núñez, Rafael E. (2013). The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics. In Lyn D. English (Ed.), Mathematical reasoning: Analogies, metaphors, and images (pp. 21–85). Routledge.

National Commission on Excellence in Education. (1983). A nation at risk: The imperative for educational reform. The Elementary School Journal, 84(2), 113–130. http://www.jstor.org/stable/1001303 

No Child Left Behind Act of 2001, 20 U.S.C. 70 § 6301 et seq.

Vossoughi, Shirin, & Sepehr Vakil (2018). Toward what ends? A critical analysis of militarism, equity, and STEM education. In Arsahd Imtiaz Ali & Tracy Lachica Buenavista (Eds.), Education at war: The fight for students of color in America’s public schools. Fordham University Press.

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Foundations for Implementation

This professional learning is designed for teachers as they begin their implementation of CPM. This series contains multiple components and is grounded in multiple active experiences delivered over the first year. This learning experience will encourage teachers to adjust their instructional practices, expand their content knowledge, and challenge their beliefs about teaching and learning. Teachers and leaders will gain first-hand experience with CPM with emphasis on what they will be teaching. Throughout this series educators will experience the mathematics, consider instructional practices, and learn about the classroom environment necessary for a successful implementation of CPM curriculum resources.

Page 2 of the Professional Learning Progression (PDF) describes all of the components of this learning event and the additional support available. Teachers new to a course, but have previously attended Foundations for Implementation, can choose to engage in the course Content Modules in the Professional Learning Portal rather than attending the entire series of learning events again.

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Building on Instructional Practice Series

The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional materials and who have completed the Foundations for Implementation Series.

Building on Equity

In Building on Equity, participants will learn how to include equitable practices in their classroom and support traditionally underserved students in becoming leaders of their own learning. Essential questions include: How do I shift dependent learners into independent learners? How does my own math identity and cultural background impact my classroom? The focus of day one is equitable classroom culture. Participants will reflect on how their math identity and mindsets impact student learning. They will begin working on a plan for Chapter 1 that creates an equitable classroom culture. The focus of day two and three is implementing equitable tasks. Participants will develop their use of the 5 Practices for Orchestrating Meaningful Mathematical Discussions and curate strategies for supporting all students in becoming leaders of their own learning. Participants will use an equity lens to reflect on and revise their Chapter 1 lesson plans.

Building on Assessment

In Building on Assessment, participants will apply assessment research and develop methods to provide feedback to students and inform equitable assessment decisions. On day one, participants will align assessment practices with learning progressions and the principle of mastery over time as well as write assessment items. During day two, participants will develop rubrics, explore alternate types of assessment, and plan for implementation that supports student ownership. On the third day, participants will develop strategies to monitor progress and provide evidence of proficiency with identified mathematics content and practices. Participants will develop assessment action plans that will encourage continued collaboration within their learning community.

Building on Discourse

In Building on Discourse, participants will improve their ability to facilitate meaningful mathematical discourse. This learning experience will encourage participants to adjust their instructional practices in the areas of sharing math authority, developing independent learners, and the creation of equitable classroom environments. Participants will plan for student learning by using teaching practices such as posing purposeful questioning, supporting productive struggle, and facilitating meaningful mathematical discourse. In doing so, participants learn to support students collaboratively engaged with rich tasks with all elements of the Effective Mathematics Teaching Practices incorporated through intentional and reflective planning.