Stereotype and Women’s Math Performance 1 Running Head: STEREOTYPE AND WOMEN’S MATH PERFORMANCE Stereotype Threat and its Effect on Women's Ability in Mathematics Alexandra Feltes The University of Akron Stereotype and Women’s Math Performance 2 Abstract In the last few decades, the roles of men and women in society have changed dramatically. Despite this development, stereotypes pervade our culture and are capable of having harmful effects. Specifically, when women perform mathematics, they risk being negatively influenced by the stereotype that they have weaker abilities in this area. In this study, an online mathematics test was given to two groups of female students at the University of Akron to measure the effects of these beliefs. For one half of the participants, the directions of test one were designed to reduce the current negative stereotype and put each participant at ease. For the other half, test two directions explicitly stated that women were not expected to perform well on the math test. The average scores from each were then compared using independent ttests to determine if this negative stereotype affects women when taking a mathematics exam. The findings indicated no significant difference between the scores of group one and two, indicating a possible reduction in the way this stereotype threat affects women. Stereotype and Women’s Math Performance 3 Stereotype Threat and its Effect on Women's Ability in Mathematics. Social psychologists investigate different aspects of human behavior and social factors that influence individual thoughts, feelings, and actions. Of these, stereotypes and prejudices frequently generate negative consequences for those who are the target of stereotypic or prejudicial ideas. Research into these phenomena investigate the motivational origin of prejudice, their effect on society’s perception and behavior, and examine processes through which stereotypes are created (Spencer, Steele, & Quinn, 1999). Even though male and female gender roles overlap, stereotypes have remained constant about traditional male and female responsibilities (Davies, Spencer, Quinn, & Gerhardstein, 2010). Specifically, mathematics continues to be a male-dominated area of study (Davies, Spencer, Quinn, & Gerhardstein). According to Quinn and Spencer (2001), academic stereotypes are remarkably well-known in this society. Following the current stereotypes, women are superior in the fields of reading and English while men are superior in the fields of science and mathematics. Books, mass media, the Internet, and teachers are only some of the various channels through which these stereotypes are transmitted. Starting from an early age, society instructs children on the proper gender-based careers they should pursue, eventually affecting how they are treated in academic settings and what major they choose in college (Quinn & Spencer, 2001). Mathematics questions frustrate everyone, from professors researching the most complex problems to grade school children just learning basic calculations. Nevertheless, Davies et al. (2010) state that an alarming disparity exists between male and female students when they choose college majors. Among those men and women who possess equal skills and experience in high school mathematics, only 19% of women chose college majors that involved a moderate Stereotype and Women’s Math Performance 4 level of math, such as economics and architecture, while 43% of men chose majors in these same disciplines (Lefevre, Kulak, & Heymans, 1992). A psychological threat in which one feels that he/she will be viewed through a negative stereotype is called a stereotype threat. It can impair performance in such a way that validates the stereotype. Research that examines the adverse effects stereotype threats have on an individual’s performance has been conducted on female students undergoing mathematical assessments, students living in low socioeconomic circumstances undergoing testing for intellectual ability, and African American students undergoing standardized testing (Pronin, Steele, & Ross, 2003). Cadinu et al. (2005) propose that stereotypes negatively affect the performance of minority groups by diverting their cognitions to task-irrelevant worries. Women taking a mathematics test have more induced anxiety about confirming this stereotype, reducing their available cognitive resources and consequently, leading to poorer performance (Cadinu, Maass, Rosabianca, & Kiesner, 2005). The purpose of this study is to determine whether the stereotype that women are not proficient in mathematics will affect their performance on a mathematics test when explicitly informed of this bias prior to attempting the exam. This research studies the effect, if any, this stereotype has on women who are presented with a math test and after being notified beforehand of the prejudice. The research design involves one math test that was given online through the Human Participants Research (HPR) website to two separate groups of female undergraduate students attending the University of Akron. Stereotype and Women’s Math Performance 5 Method Participants Seventy-five female undergraduate students enrolled at the University of Akron voluntarily participated in this research. Of those, each participant was randomly assigned to either the neutral group or the stereotype group. The neutral group contained 39 students (i.e., 15 freshman, 6 sophomores, 11 juniors, and 7 seniors) while the stereotype group consisted of 36 students (i.e., 14 freshman 9 sophomores, 5 juniors, and 8 seniors). Since participation in this research was open to any student registered in a psychology class, not all participants were studying a major in psychology. The majority of participants in both the neutral and stereotype group have taken one or two mathematics classes while in college (see Table 2). Materials Each test contained 27 multiple-choice questions. The survey was available through the University of Akron’s online research website. Both the neutral and stereotype group received the same exams. The test questions were broken down into four different sub-categories: base, easy, moderate, and difficult (see Appendix A). The base questions acted as a filter for those participants who blindly guessed through the majority of questions. Those participants who answered two or more of these problems incorrectly were not taken into account when statistically comparing the mean scores of each group. Procedures While the math tests were the same, each group was provided with a different set of instructions prior to working through the math problems. The neutral group received directions stating that the scores would not be evaluated based on performance, and that their responses would help determine if the test is valid and the questions are of the appropriate difficulty. They Stereotype and Women’s Math Performance 6 were instructed to attempt this test to the best of their ability in order to ensure that each participant gives adequate effort to answer each question (see Appendix B). Then, upon receiving the completed exams, each answer was scored for correctness. These neutral directions were given with the goal of minimizing the stereotype threat a participant may have when taking a mathematics test. Instructions provided to the stereotype group were meant to raise the stereotype threat concerning women in mathematics, in order to determine if the participants’ performances on the test were affected. The scores for each group of participants were then compared to determine if any statistical differences exists. These instructions were designed to implant the explicit stereotype about women’s inferiority in math in order to study the effect this bias has on women. After reading the prejudiced directions, I predicted that this group of women would produce significantly lower scores than those who were given the stereotype-free instructions. Each participant was asked to answer three manipulation questions after reading the directions. This is to ensure that each student read and fully comprehended the instructions. For those who did not answer one of these questions correctly, their answers were discounted. The actual test questions remained the same for both groups to maintain consistency between the two sets of participants. Results Participants’ responses for both the neutral and stereotype groups for all categories are summarized in Table 1. Out of the seventy-five participants, thirty-nine were randomly selected to receive the neutral directions while thirty-six received the prejudiced instructions. The total number of incorrect responses were recorded for both the neutral (Mean = 12.97, SD = 4.75) and the stereotype (Mean = 12.22, SD = 5.07) group, where the minimum and maximum number of Stereotype and Women’s Math Performance 7 possible incorrect answers are zero and twenty-seven, respectively. The actual scores for both the neutral group and stereotype ranged from one to twenty incorrect answers. The data suggests a minimal difference between the average number wrong for the two sets of participants. A two sample t-test indicated no statistically significant difference between the total number of incorrect answers between those given the neutral directions and those given the stereotypical instructions (t(73) = .663, p = .509). For purposes of statistical analysis, the total number of questions was separated into four sub-categories reflecting item difficulty (i.e., base, easy, medium, difficult). Beginning with the base questions, participants had the opportunity of answering a maximum of three problems incorrectly. In terms of items wrong, the neutral group (Mean = 0.231, SD = .485) and stereotype group (Mean = 0.222, SD = .485) again revealed no numerical difference between both sets of participants. No statistically significance difference exists for both groups between the number of incorrect responses to the base level of difficulty (t(73) = .076, p = .939). Comparing the results of the easy questions between the two groups revealed similar results to previous analyses. With the possibility of six incorrect responses, the neutral group (Mean = 2.436, SD = 1.500) and stereotype group (Mean = 2.167, SD = 1.464) displayed no statistically significant difference in this sub-category (t(73) = .785, p = .435). With regard to the moderate sub-category, participants in the neutral (Mean = 6.436, SD = 2.511) and stereotype (Mean = 6.139, SD = 2.769) groups had the opportunity of answering a maximum of eleven problems incorrectly. Similar to previous results, the data indicates no statistically significant difference for this sub-group of questions (t(73) = .487, p = .628). Along with the moderate problems, participants in the neutral (Mean = 3.878, SD = 1.525) and stereotype (Mean = 3.694, SD = 1.770) group showed little difference in the average number of Stereotype and Women’s Math Performance 8 incorrect responses with regard to the difficult sub-category, regardless of which directions they received. No statistically significant difference exists when analyzing this specific sub-category (t(73) = .466, p = .643). The data indicates that for every category (i.e., total, base, easy, moderate, and difficult incorrect) the group that received the neutral directions answered, on average, a greater number of questions incorrectly than those that received the stereotype instructions. Discussion Situations where women run the risk of being judged by a negative stereotype can yield a disruptive state that interferes with their performance (Davies et al., 2010). In this case, I studied whether priming the stereotype that females are not proficient in mathematics will produce a state strong enough to increase the number of incorrect answers on a math exam. This did not occur in this study. Many plausible reasons exist as to why these women were not affected by this stereotype. One of the simplest explanations is that there was not a sufficient number of participants to see a significant difference between the scores of both groups. Wiley (1995) explains that small sample sizes may be inadequate to support research hypotheses. Believing that numbers are irrelevant in order to ensure accuracy and validity is a common misconception when performing research. While seventy-five participants may be adequate to statistically analyze, it may not be enough to get a true sampling of the population. Performing this experiment again using a larger sample size could possibly yield a different result. Since the answers to the exam depended on which directions they received, seeing no significant difference in the scores may indicate that the instructions were not strong enough to elicit a reaction from the participants. Having women read about a negative stereotype may not Stereotype and Women’s Math Performance 9 have been as influential as listening to or visually witnessing that same stereotype. The women that participated in this research were all undergraduate students who were probably more interested in earning extra credit than understanding and considering the purpose of this experiment. Thus, it is reasonable to believe that many participants simply glanced over the instructions just enough to answer the manipulation questions correctly. Oswald and Harvey (2000) conducted an experiment measuring this stereotype threat where women were placed in a hostile environment prior to attempting a math exam. Participants viewed a derogatory cartoon about their mathematical abilities and where then informed that women perform worse than men on the test they were about to attempt. The interaction between the hostile environment and the stereotype threat significantly affected the females’ performance on the math exam (Oswald & Harvey, 2000). A stereotype threat may then have less influence over the participants in non-threatening environments. Explicitly stating that women are not meant to perform well on this math exam could have possibly motivated most participants instead of discouraging their efforts. While many participants may be aware of this stereotype, her personal beliefs may not be congruent with the stereotype. Being explicitly told that one will perform poorly on a certain exam may serve to motivate one’s efforts, focusing more on successfully accomplishing the task instead of why one should not answer the questions accurately. Whatever the reason, seeing no significant difference between the neutral and stereotype group may indicate that the gender gap of women in mathematics has lessened and more women are choosing careers in areas previously unattainable. The percentage of women who graduated from medical schools increased significantly from 7.7% to 45.1% from 1964-2003 (Lambert & Holmboe, 2003). Seeing more females with careers in math and science may inspire younger Stereotype and Women’s Math Performance 10 generations of women to pursue those same professions. Niederle and Vesterlund (2009) indicate that the mean scores for women on math exams are only slightly greater than for males. Standardized tests such as the mathematics SAT, AP calculus tests, and the quantitative portions of GREs continue to display a decrease in this gender gap (Niederle & Vesterlund, 2009). It is evident that more research needs to be done, investigating the negative effects stereotypes have on those targeted by prejudicial ideas. This complex problem not only affects women, but those of different religions, races, and cultures as well. Understanding negative stereotypes and improving upon them will reduce societal barriers increasing the chance of minority group members’ success. Stereotype and Women’s Math Performance 11 References Cadinu, M., Maass, A., Rosabianca, A., & Kiesner, J. Why Do Women Underperform Under Stereotype Threat? American Psychological Society, 16(7), 572-578. Davies, P. G., Spencer, S. J., Quinn, D. M., & Gerhardstein, R. (2010). Consuming Images: How Television Commercials that Elicit Stereotype Threat Can Restrain Women. Personality and Social Psychology Bulletin, 28, 1615-1628. Lambert, E.M. & Holmboe, E.S. (2005). The Relationship between Specialty Choice and Gender of U.S. Medical Students. Academic Medicine, 80, 797-802. LeFevre, J., Kulak, A.G. , & Heymans, S. L. (1992). Factors influencing the selection of university majors varying in mathematical content.” Canadian Journal of Behavioral Science, 24(3), Jul 1992, 276-289. Pronin, E., Steele, C. M. , & Ross, L. (2003). Identity bifurcation in response to stereotype threat: Women and mathematics. Journal of Experimental Social Psychology, 40(2), 152168. Niederle, M. & Vesterlund, L. (2009). Explaining the Gender Gap in Math Test Scores: The Role of Competition. Oswald, D. & Harvey, R. (2000). Hostile Environments, Stereotype Threat, and Math Performance among Undergraduate Women. Current Psychology: Developmental, Learning, Personality, and Social, 19(4), 338-356. Quinn, D.M. & Spencer, S.J. (2001). The Interference of Stereotype Threat With Women’s Generation of Mathematical Problem-Solving Strategies. Journal of Social Issues, 57, 5571. Stereotype and Women’s Math Performance 12 Spencer, S. J., Steele, C.M. , & Quinn, D.M. (1999). Stereotype Threat and Women’s Math Performance. Journal of Experimental Social Psychology 35, 4–28. Wiley, J.(1995). Sample size in qualitative research. Research in Nursing & Health, 18(2), 179183 Stereotype and Women’s Math Performance 13 Appendix A Sample Questions of the Four Sub-categories 1. Base: Is 16 an even number? 2. Easy: Solve (6 + 3+ 12 ÷ 3) × 5 + 11 = _________ 3. Moderate: Find an equivalent expression for 4. Difficult: Solve for x: × , where Stereotype and Women’s Math Performance 14 Appendix B Neutral Group Directions: This math test is comprised of twenty-seven (27) questions ranging from fairly simple to difficult. Please attempt each problem to the best of your ability. Men and women perform equally well on these types of mathematical problems. However, these questions will not be graded and compared to others’ scores. The purpose of this test is to determine which of these questions are of the appropriate difficulty. You are allowed to use a calculator and any scratch paper you may need. The extra credit will not be affected by how many problems you answer correctly. Stereotype group directions: This math test is comprised of twenty-seven (27) questions ranging from fairly simple to difficult. Please attempt each problem to the best of you ability. According to Quinn and Spencer (2001), there is a significant gender gap on mathematics tests. Parents, teachers, and the public media often portray women as having less mathematical ability than men. Low expectations from these sources lead women to achieve lower math test scores than men (Quinn & Spencer, 2001). In this study, the math problems you are asked to solve will be used to evaluate why women are less proficient than men in mathematics. In general, men perform better on the following test. Each question will be graded for correctness and compared to others’ scores on the same test. You are allowed a calculator and any other scratch paper you may need. The extra credit will not be affected by how many problems you answer correctly. Stereotype and Women’s Math Performance 15 Table 1: Statistical Analyses of the Research Data Categories of Questions Neutral Mean (SD) Stereotype Mean (SD) Total Wrong 12.974 (4.743) 12.222 (5.077) Base Wrong 0.231 (0.485) 0.222 (0.485) Easy Wrong 2.436 (1.500) 2.167 (1.464) Moderate Wrong 6.436 (2.511) 6.134 (2.769) Difficult Wrong 3.872 (1.525) 3.694 (1.770) Note: No statistically significant difference exists between groups in any category Stereotype and Women’s Math Performance 16 Table 2: Number of College Mathematics Courses Taken None 1-2 3-4 5 or more Neutral Group 5 30 4 0 Stereotype Group 8 18 8 2
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