Content uploaded by Nicole Joseph
Author content
All content in this area was uploaded by Nicole Joseph on Oct 07, 2017
Content may be subject to copyright.
Virginia Mathematics Teacher vol. 44, no. 1 46
MG
The Invisibility of Black Girls in Mathematics
Nicole M. Joseph
Partnering with students to support them in
becoming educated, productive, and responsible
citizens is at the core of the Virginia Department of
Education’s mission, and I wonder how Black girls
are experiencing this mission in their K-12 trajecto-
ries? The 2015 NAEP mathematics data for Virgin-
ia shows a 22- and 30-point difference between
Black and White fourth- and eighth-graders respec-
tively (National Center for Education Statistics).
Although Board of Education President Billy K.
Cannaday Jr. notes that the state board’s top priori-
ty is to continue to work toward narrowing and ul-
timately closing the achievement gap between
Black and White students, I wonder what Virginia
plans to do for its Black girls in particular? The
2015-2016 Virginia State Standards of Learning
(SOL) Assessment data shows the following pass
rates for Black girls from third- through twelfth-
grade (see Table 1).
So just what is the state of Black girls’ ex-
periences in mathematics in Virginia? It is difficult
to answer this question in part because most states
rarely disaggregate their assessment data at inter-
sections of race and gender, but also because there
is a limited focus on contextualized studies that ex-
amine Black girls and their mathematics education
experiences. It is not just a Virginia problem; it is a
national problem. Black girls’ experiences in math-
ematics remain invisible and largely untheorized
and this invisibility produces obscurity to most
mathematics teachers; consequently, program and
learning design efforts remain non-existent. Inter-
ventions that are put in place are usually single-axis
and assume that either all girls or all African-
American students have the same needs. Intersec-
tional interventions can provide promise for Black
girls and other racialized minorities. Such interven-
tions would not only take into account Black girls’
particular learning needs for persistence in mathe-
matics (Joseph, Hailu, & Boston, 2017), they
would also account for issues of power, oppression,
and center social justice (Collins & Bilge, 2016).
Understanding Black girls’ experiences in
mathematics during their K-12 trajectories can shed
light on their underrepresentation in higher educa-
tion majors and careers that require mathematics
degrees. For example, studies have shown that
Black girls have higher mathematics career aspira-
tions than their White and Latina female peers
(Riegle-Crumb, Moore, & Ramos-Wada, 2011),
yet, few make it to the doctoral level. Table 2
shows the number of mathematics doctorates
awarded to American citizens over the last 10
years. What we notice is that over the last 10 years,
White males earned roughly 75% of the mathemat-
ics doctorate degrees in comparison to all women.
We also notice that in 2014, all women, with ra-
cialized women yielding eight percent, and Black
women roughly one percent, earned 27% of the
math doctorates.
Table 1. 2015-2016 Virginia State Standards of Learning (SOL) Assessment Pass Rate for Black Girls, 3rd – 12th
3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th
Black Girls 64.48% 73% 69.9% 74.15% 62.18% 71.60% 79.97% 72.32% 69.94% 67.03%
Source: Virginia SOL Assessment Build-A-Table (http://bi.virginia.gov/BuildATab/rdPage.aspx)
Virginia Mathematics Teacher vol. 44, no. 1 47
These numbers can be explained by several
factors; here, I discuss a few. We know from thirty
years of research by Jeannie Oakes (1985, 1990a,
1990b) that mathematics tracking substantially lim-
its African-American students’ access to advanced
mathematics courses. Mathematics tracking is the
process of organizing students into mathematics
courses that are based on their ability, and it has
been an accepted practice in U.S. schools for nearly
a century (Rubin, 2008).
Teachers’ low expectations and overall as-
sumptions about Black girls in society impede the
opportunity for Black girls to learn in mathematics
classrooms (Rist, 2000). Teachers hold low expec-
tations of low-income Black girls in upper elemen-
tary classrooms who are perceived as having lim-
ited knowledge and bring social challenges to the
learning environment (Pringle et al., 2012). Black
girls’ early confidence in and value of mathematics
often fails to translate when it comes to interactions
with their mathematics teachers. Battey and Levya
(2013) found positive and negative effects on
Black girls’ mathematics achievement in terms of
relational interactions with their teachers. There is
also a deep-seeded historical and societal myth that
Black girls and mathematics are incompatible
(Gholson, 2016; Hottinger, 2016; Joseph, 2016). In
addition to the damaging stereotypes that can lead
to disidentification with the discipline of mathe-
matics, Black girls often lack access to high quali-
ty, advanced mathematics and science courses in
schools located in their communities (National
Women’s Law Center, 2014).
My own work examines how Black girls
develop mathematics identities since we know that
productive and robust mathematics identities con-
tribute to longer-term persistence in mathematics
(Boaler & Greeno, 2000; Joseph, Hailu, & Boston,
2017; McGee, 2015). Specifically, I aim to exam-
ine the roles race, class, gender and other socially
constructed identities as well as interlocking sys-
tems of oppression play in shaping their mathemat-
ics identities. Understanding what factors contrib-
ute to robust mathematics identities for Black girls
is important for the national discourse about un-
derrepresentation of racialized minorities in STEM
2005 2006 2007 2008 2009 2010 2011 2012 2013 2014
Total (M/W) 540 583 645 671 788 863 849 852 912 948
Total Women 152 151 193 218 235 245 230 224 242 254
Black 9 5 5 11 16 9 9 10 6 9
Hispanic or Latino 6 11 4 5 12 8 9 11 6 7
Native American 0 0 1 0 1 0 0 0 1 1
White 101 102 132 161 154 168 155 163 170 179
Asian NA NA NA NA NA NA 38 22 34 32
Asian or Pacific Islander 26 20 29 24 27 39 NA NA NA NA
Hawaiian/ Pacific Islander NA NA NA NA NA NA 0 0 0 0
Other 10 13 22 17 25 21 18 15 22 22
Two or More Races NA NA NA NA NA NA 1 4 3 4
Total Men 388 432 452 453 553 618 619 628 670 694
Source: Women, Minorities, and Persons with Disabilities in Science and Engineering: 2017 (table 7-7)
Table 2. United States’ Mathematical Sciences Doctorates: Females Compared to White Males 2005-2014
Virginia Mathematics Teacher vol. 44, no. 1 48
broadly. Next, I share some findings from a pilot
study that explored these ideas with undergraduate
Black women in STEM majors at both Predomi-
nately White Institutions and Historically Black
Colleges and Universities. I close the essay by in-
voking Virginia’s unique history of Black excel-
lence in STEM, as conceptualized in Hidden Fig-
ures. This is one way to center possibilities and
build upon a legacy and tradition to transform
Black girls’ mathematics experiences and their
overall lives in the educational system of Virginia.
High School Experiences in Mathematics Shape
Higher Education Success
I recently conducted a pilot study that explored
mathematics identity among undergraduate Black
women STEM majors at different institution types.
Seven Black women participated in a three-part
study that included a one-on-one semi-structured
interview, the creation of an annotated symbolic
artifact of mathematics identity affirmation, and a
focus group based on the movie Hidden Figures. In
this article, I share just a couple of the things that I
learned from these women in their conversations
about Hidden Figures. We discussed what they no-
ticed about the Black women and their roles as
mathematicians, what our mathematics education
system does right and wrong for Black girls, and
what is needed to promote robust mathematics
identities among Black girls. The two themes be-
low were salient in their discussion and have impli-
cations for mathematics teachers.
Limited Access to High Quality Mathematics
Instruction.
The young women articulated a position about the
inequality of schools and the related mathematics
instruction they received as a result of attending
such schools. One participant stated:
I talked to a [White] girl, she said they did-
n’t have desks – they sat in a Socratic style.
They sat around a table, and they were
forced to think out – it wasn’t just written
tests, and that’s how you have to think in
order to succeed at these top institutions.
It’s more than a paper test. You have to be
able to think outside the box, and if you
haven’t been thinking like that and they’ve
been thinking like that since ninth grade,
you’re not gonna perform at the level.
This quote suggests that Black girls experience
mathematics instruction that is more traditional and
rarely have access to high quality mathematics
teachers, specifically, the type of mathematics
teachers that prepare students to be critical thinkers
(Oakes, 1990a). Oftentimes the schools’ best math-
ematics teachers are given choices of which cours-
es to teach, and many of them choose to teach ad-
vanced mathematics courses and these courses can
include a strikingly different pedagogy. These
courses can be more student-centered and include
more opportunities for critical thinking, rather than
drill and kill and worksheets, which often can be
seen in many of the lower-level courses (Oakes et
al, 2004). We know that the quality of a teacher has
been consistently identified as the most important
school-based factor in student achievement
(McCaffrey, Lockwood, Koretz, & Hamilton,
2003; Rowan, Correnti & Miller, 2002), and that
teacher effects on student learning have been found
to be cumulative and long-lasting (McCaffrey et
al., 2003; Mendro, Jordan, Gomez, Anderson,
Bembry, & Schools, 1998). Therefore, mathemat-
ics teachers can play a role in changing the type of
instruction Black girls receive in their classrooms,
as well as promoting Black girls’ enrollment into
advanced mathematics courses.
Low Expectations from Others.
Not being expected to accomplish greatness was
another salient theme that I learned from the focus
groups. One woman stated emphatically:
We expect White people to succeed and we
expect Black people to fail inherently.
A different young woman expressed her thoughts
about low expectations when she responded:
I think it’s about expectations because they
[White students]—when White kids whose
families have—like they aren’t the first in
their family to go to college, wherever they
go, it’s expected of them to finish. If they
come into engineering, it’s not like, oh, you
[Black girl] may change your major, and
this and that. It’s expected that they’re
[White students] gonna finish. Why is it
that when Black kids go to college and they
Virginia Mathematics Teacher vol. 44, no. 1 49
may be the first in their family, it’s like, are
you sure you gonna be able to do that
[engineering]?
These findings suggest that Black girls perceive
that their mathematics teachers and other school
personnel do not believe they will succeed in
STEM fields. Other studies have found that low-
expectation teachers blame Black students, their
families, and their communities for achieving at
lower rates than Whites (Lynn et al., 2010; West-
Olatunji et al., 2010). Some middle-school Black
students struggle academically because of their per-
ceptions of low teacher expectations and the teach-
er-student relationship (Ferguson, 2003; Noguera,
2003). Overall, low expectations can significantly
decrease Black girls’ chances to succeed academi-
cally. To counteract this, mathematics teachers
need to be made aware of how their perceptions
and beliefs impact Black girls’ academic achieve-
ment. We need teachers who have already or can
adopt a disposition of high expectations and une-
quivocal faith in their Black girls to succeed in
learning rigorous mathematics. This can be chal-
lenging because as mathematics teachers, we have
cultural scripts (Stigler & Heibert, 1998) about
what represents success in mathematics, and when
Black girls do not align with that script, we make
assumptions that something is wrong with them,
rather than our own teaching and more importantly,
our system. Overall, these themes help us under-
stand the viewpoints of some Black girls’ experi-
ences in mathematics and that our mathematics ed-
ucation system needs to change if we care about
Black girls succeeding.
Black Girls Becoming Visible in Mathematics:
The Affordances of Virginia’s History of Black
STEM Excellence
Virginia has a robust history of Black ex-
cellence in STEM as seen through the historical
analysis in Shetterly’s (2016) book, Hidden Fig-
ures. We now know that over 20 Black women
worked as human computers or mathematicians at
NASA and contributed to the United States’ suc-
cess in the space program. Shetterly recalled: “that
so many of them were African-American, many of
them my grandmothers’ age, struck me as simply a
part of the natural order of things. Growing up in
Hampton, the face of science was brown like
mine” (p.xiii). She continued, “I knew so many Af-
rican-Americans working in science, math, and en-
gineering that I thought that’s just what Black folks
did” (p. xiii). This history gives mathematics teach-
ers a way to center and engage Black girls in math-
ematics in a meaningful way—helping Black girls
understand the greatness from which they come
and can draw upon.
Virginia is an epicenter of Historically Black
Colleges and Universities focused on STEM and
can serve as spaces to transform the mathematics
teaching and learning experiences of Black girls.
Below, I list a few recommendations about what
mathematics teachers can do to disrupt Black girls’
invisibility in the discipline:
a. Encourage all Black girls to take more mathe-
matics, not less, pushing back against the
tracking system. This is important because it
can open up more opportunities for the pur-
suit of STEM degrees in college (Tyson et al.,
2007). Ways mathematics teachers can do this
is by working with school counselors to find
“bubble” and high-achieving Black girls and
strongly encourage them to take additional
math (if they are not already doing so). It is
more than just telling them to take more math,
but it is about pulling in their families to dis-
cuss together the benefits of such actions as
well as the future consequences for not doing
so.
b. Invite Black women in STEM careers from
local Virginia universities/industries to dia-
logue with Black girls in small groups. Many
Black girls, such as those in my study, may
not even know about or understand different
STEM careers (i.e. engineers, actuaries, sci-
entists, etc.). Finding other math teachers in
your local school district and working togeth-
er to locate these Black women professionals
is one idea for getting at this recommenda-
tion. Mathematics and science teachers also
might survey their Blacks girls to see if they
have family members and/or friends who
work as STEM professionals to come share
their stories.
c. Teach Black girls mathematics through prob-
Virginia Mathematics Teacher vol. 44, no. 1 50
lem posing and discovery, rather than tradi-
tional procedures, allowing them to bring
their full identities to the classroom. Complet-
ing worksheets usually does not stimulate stu-
dents’ minds for discovery and problem pos-
ing. My work with high school Black girls
suggests that they value mathematics teachers
who promote academic and social integration,
while learning mathematics (Dunleavy et al.).
What this might look like in a classroom is
the teacher promoting Black girls to utilize
personal, local, national, or global community
contexts to pose problems that are meaningful
to them. They should be able to produce prob-
lems that are open-ended, relevant, and co-
created with others. This type of learning ex-
perience should be employed from day one of
school and developed all throughout the year
in order to see sustainability.
d. Partner with local HBCU STEM departments
to create programming that provides opportu-
nities for research and mentoring. This is im-
portant because it can increase interest in
STEM fields and college going rates
(Schneider et al., 2013), and graduate school
aspirations (Odera et al., 2015). This can cre-
ate multiple pathways through the pipeline.
These recommendations are not silver bullet an-
swers, as this phenomenon is complex. Our nation
must work to disrupt deficit narratives about Black
girls and the associated myths about mathematics.
Virginia mathematics teachers have a unique op-
portunity to be the “first” to lead this effort in a
systemic way.
References
Battey, D. & Leyva, L. (2013). Rethinking mathe-
matics instruction: An analysis of relational
interactions and mathematics achievement
in elementary. In Martinez, M., & Super-
fine, A. (Eds.), Proceedings of the 35th an-
nual meeting of the North American Chap-
ter of the International Group for the Psy-
chology of Mathematics Education (pp. 980
-987). Chicago: University of Illinois at
Chicago.
Boaler, J., & Greeno, J. G. (2000). Identity, agen-
cy, and knowing in mathematics
worlds. In J. Boaler (Ed.), Multiple perspec-
tives on mathematics teaching and learning,
171-200. Westport, CT: ABLEX Publish-
ing.
Collins, P. H., & Bilge, S. (2016). Intersectionality.
Malden, MA: Polity Press.
Dunleavy, T., Joseph, N. M., Zavala, M. (2016,
November). Black girls in high school
mathematics: Crossing the border of deficit
discourses. In M. B. Wood, E. E. Turner,
M. Civil, & J. A. Eli. (Eds.). Proceedings of
the 38th annual meeting of the North Amer-
ican Chapter of the International Group for
the Psychology of Mathematics Educa-
tion, (p. 1487-1494). Tucson, AZ: The Uni-
versity of Arizona. Online. 2016-11-3 from
http://www.pmena.org/pmenaproceedings/
PMENA%2038%202016%
20Proceedings.pdf
Ferguson, R. F. (2003). Teachers’ perceptions and
expectations and the Black-White test score
gap. Urban Education, 38, 460-507.
Gholson, M. L. (2016). Clean corners and Algebra:
A critical examination of the constructed
invisibility of Black girls and women in
mathematics. The Journal of Negro Educa-
tion, 85(3), 290-301.
Hottinger, S. N. (2016). Inventing the mathemati-
cian: Gender, race, and our cultural
understanding of mathematics. New Yor k,
NY: SUNY Press.
Joseph, N. M. (2016). What Plato took for granted:
Examining the biographies of the first five
African American female mathematicians
and what that says about resistance to the
western epistemological cannon. In B.
Polnick, B. Irby, & J. Ballenger (Eds.),
Women of Color in STEM: Navigating the
Workforce (pp. 3-38). Charlotte, NC: Infor-
mation Age Publishing Inc.
Joseph, N.M., Hailu, M. & Boston, D. L. (2017).
Black women’s and girls’ persistence in the
P-20 mathematics pipeline: Two decades of
children, youth, and adult education re-
search. Review of Research, 41, 203-227.
Lynn, M., Bacon, J.N., Totten, T. L., Bridges, T. L.
Virginia Mathematics Teacher vol. 44, no. 1 51
& Jennings, M.E. (2010). Examining
teachers' beliefs about African American
male students in a low-performing high
school in an African American School Dis-
trict. Teachers College Record, 112(1), 289
-330.
McCaffrey, D. F., Lockwood, J. R., Koretz, D. M.,
& Hamilton, L. S. (2003). Evaluating value
-added models for teacher accountability.
Monograph. RAND Corporation. PO Box
2138, Santa Monica, CA 90407-2138.
McGee, E. O. (2015). Robust and fragile mathe-
matical identities: A framework for explor-
ing racialized experiences and high
achievement among black college stud-
ents. Journal for Research in Mathematics
Education, 46(5), 599-625.
Mendro, R., Jordan, H., Gomez, E., Anderson, M.,
Bembry, K., & Schools, D. P. (1998, April).
An application of multiple linear regression
in determining longitudinal teacher effec-
tiveness. In Annual Meeting of the Ameri-
can Educational Research Association, San
Diego, CA.
National Women’s Law Center. (2014). Unlocking
opportunity for African American girls: A
call to action for educational equity. New
York: NWLC.
National Center for Education Statistics (no date).
Retrieved from https://nces.ed.gov/.
Noguera, P. A. (2003). The trouble with Black
boys: The role and influence of environ-
mental and cultural factors on the academic
performance of African American males.
Urban Education, 38, 431-459.
Oakes, J. (1985). Keeping track. New Haven, CT:
Yale University Press.
Oakes, J. (1990a). Multiplying inequalities: The
effects of race, social class, and tracking on
opportunities to learn mathematics and sci-
ence. Santa Monica, CA: Rand.
Oakes, J. (1990b). Opportunities, achievement, and
choice: Women and minority students in
science and mathematics. Review of Re-
search in Education, 16, 153–222.
Oakes, J., Joseph, R., & Muir, K. (2004). Access
and achievement in mathematics and sci-
ence: Inequalities that endure and change.
In J. A. Banks & C. A. M. Banks (Eds.),
Handbook of Research on Multicultural
Education, 2nd Edition, (pp. 69-90). San
Francisco, CA: Jossey-Bass.
Odera, E., Lamm, A., Odera, L., Duryea, M. & Da
vis, J. (2015). Understanding how research
experiences foster undergraduate research
skill development and influence STEM ca-
reer choice. NACTA Journal, 59(3), 180-
188.
Pringle, R. M., Brkich, K. M., Adams, T. L., West-
Olatunji, C., & Archer-Banks, D. A. (2012).
Factors influencing elementary teachers’
positioning of African American girls as
science and mathematics learners. School
Science and Mathematics, 112, 217-229.
Riegle-Crumb, C., Moore, C., & Ramos-Wada, A.
(2011). Who wants to have a career in sci-
ence or math? Exploring adolescents’ future
aspirations by gender and race/ethnicity.
Science Education, 95, 458–476.
Rist, R. C. (2000). HER classic: Student social
class and teacher expectations: The self-
fulfilling prophecy in ghetto education.
Harvard Educational Review, 70, 257–301.
Rowan, B., Correnti, R., & Miller, R. J. (2002).
What large-scale, survey research tells us
about teacher effects on student achieve-
ment: Insights from the "Prospects" study
of elementary schools. CPRE Research Re-
port Series.
Rubin, B. (2008). Detracking in context: How local
constructions of ability complicate equity-
geared reform. Teachers College Rec-
ord, 110(3), 646-699.
Schneider, B., Broda, M., Judy, J., & Burkander,
K. (2013). Pathways to college and STEM
careers: Enhancing the high school experi-
ence. New Directions for Youth Develop-
ment, 2013(140), 9-29.
Stigler, J.W. & Hiebert, J. (1998, Winter). Teach-
ing is a cultural activity. A merican Educa-
tor, 1-10.
Tyson, W., Lee, R., Borman, K. M., & Hanson, M.
A. (2007). Science, technology, engineer-
ing, and mathematics (STEM) pathways:
Virginia Mathematics Teacher vol. 44, no. 1 52
High school science and math coursework
and postsecondary degree attain-
ment. Journal of Education for Students
Placed at Risk, 12(3), 243-270.
West-Olatunji, C., Shure, L., Pringle, R., Adams,
T., Lewis, D. & Cholewa, B. (2010). Ex-
ploring how school counselors position low
-income African American girls as mathe-
matics and science learners.
(Report). Professional School Counsel-
ing, 13(3), 184-195.
Nicole M. Joseph
Assistant Professor of Mathematics
Education
Vanderbilt University
Peabody College of Education and
Human Development
nicole.m.joseph@vanderbilt.edu