Structural pattern differences in course enrollment rates among community college students

This study tested a structural equation model of enrollment patterns of white and Hispanic males and females in two-year institutions and the invariance of parameter estimates among the different subgroups in the study. The model represented a multiequation model with three latent endogenous variables, high school academic preparation in mathematics and science, mathematics and science attitudes, and the dependent variable, enrollment patterns in mathematics and science courses. Exogenous variables included parents' education, levels of encouragement by others, and high school grades. Structural equation modeling was used to examine the structural and measurement coefficients of the hypothesized causal model for all subgroups in the study. In summary, an examination of the direct and total effect coefficients revealed different underlying patterns of factors for white and Hispanic females. No convergence on the model was found for white and Hispanic males. Equality constraints on all structural coefficients for both white and Hispanic females were tested and results indicated that all parameter estimates in the structural models for both subgroups were significantly different from each other.     

Contribution of mathematics in-service training course to the professional development of elementary school teachers in Israel

The present study aimed to explore the contribution of a mathematics in-service training course to elementary school teachers (1st–6th grades) in Israel. The study was conducted among 449 educators. They were required to respond to background questions. Moreover, they were asked to indicate their expectations from the in-service training course and, at its end, point out to what extent they benefitted from that course. The research findings illustrate that educators who teach mathematics at elementary school and attended the course are generally women in their 40s, holding a BEd degree and a teaching certificate not in mathematics, with an average 13-year seniority. The participating teachers indicated their wish to enrich their didactic knowledge in order to acquire varied tools for teaching mathematics to the entire pupil population as well as to gifted pupils and pupils with learning difficulties. Nevertheless, their demand to expand their mathematics knowledge was very limited. Based on the fact that most teachers have no mathematics education, this is a surprising finding as, in order to be a good teacher, one must be versed not only in Pedagogical Content Knowledge but also in Subject Matter Knowledge.     

Gender disparities in science and engineering in Chinese universities

Gender disparities in science and engineering majors in Chinese universities have received increasing attention from researchers and educators in China in recent years. Using data from a national survey of college students who graduated in 2005, this study documents gender disparities in enrollment and academic performance in science and engineering majors, and explores gender disparities in initial employment experiences of science and engineering graduates. It finds that females lag far behind males in enrollment in science and engineering majors overall. However, females actually are more represented than males in some majors such as mathematics and chemistry though the reverse is true for other science and engineering majors. Also, in science and engineering majors, females perform better than males in both general course grades and in English competency tests. Male science and engineering graduates have a clear advantage over their female counterparts in initial employment after graduation: they have a high employment rate, a higher starting salary, and are more likely to be employed in such jobs as business management and technical specialist. The male advantage in employment rate and starting salary persists even after controlling for other factors.     

大类招生形式下《数学分析》课程教学改革

在大类招生的新形式下,提出了明确界定《数学分析》与《高等数学》的关系,精选教材和优化教学内容,合理设置课时,科学安排教学过程等改革《数学分析》课程教学的策略。     

Social Presence and Student Satisfaction as Predictors of Online Enrollment Intent

This research examined the relations among social presence, satisfaction with learning experiences, and future online enrollment intent. The data for this cross-sectional study (N?=?280) were collected via an online questionnaire at a large university in the midwestern United States. Students taking online courses because of convenience were more likely to enroll in a future course, whereas those taking the course because it was required for their major were less likely. The curiosity and enjoy interaction motives were indicated as the primary motive for taking the online course by almost 20% of the participants. Hierarchical regression analyses demonstrated that both social presence and satisfaction with learning experiences were significant positive predictors of future online enrollment intent. Social presence explained the most variance in the regression equation.     

Exploring Resilience in Latina/o Academic Outcomes: A Latent Class Approach

The purpose of this study is to explore the relationship between various protective factors with academic outcomes of Latina/o high school students. We use two groups of protective influences, individual and family, and their relationship to 12th grade mathematics achievement, dropout rates, and enrollment in post-secondary education. Latent class analysis was used to identify academic protective profiles, or latent groups/classes, among high school Latina/o students (N?=?1610) and assess group differences with respect to gender, SES, immigrant status, student’s native language, preschool attendance, and 10th grade mathematics. Results indicated the presence of four academic protective groups, which differed with respect to academic discussions with parents, and attitudes about mathematics. The four classes are compared with respect to academic outcomes and differences are discussed as well as implications for practice.     

Does attending a deeper learning school promote student motivation,engagement, perseverance,and achievement?

The evolving economic landscape of the 21st century demands graduates who possess deeper learning (DL) competencies such as critical thinking and collaboration skills. Despite their importance, little work has examined the motivational mechanisms through which DL predicts essential academic outcomes. The current study (N = 1,288) used an ethnically diverse sample of students (53% Hispanic) to explore self-efficacy and mastery goal orientation as potential mediators of the relationship between (a) enrollment in a DL school and (b) academic engagement, perseverance, and mathematics achievement. Results showed that students who attended DL schools, compared with students in non-DL schools, reported higher self-efficacy, mastery goal orientation, and academic engagement. Path analyses revealed that attending a DL school was associated with higher academic engagement and self-efficacy. However, enrollment in a DL school was not directly related to mathematics achievement. Overall, results provide evidence that attending a DL school can lead to valuable motivation- and engagement-related benefits.     

Mathematics-related emotions among Finnish adolescents across different performance levels

This study examined the relation of mathematics performance and gender with seven mathematics-related emotions (enjoyment, pride, anger, anxiety, shame, hopelessness and boredom) among adolescents. Using strict and lenient mathematics performance cut-off scores, respective groups of adolescents with mathematics difficulties (MD, n = 136), low (LA, n = 166) and typical mathematics performance (TA, n = 1056) were identified. Our results revealed that the MD group reported more shame than the LA group. The MD group also reported more negative emotions and less positive emotions than the TA group, with the exception of boredom, for which there was no statistically significant difference. The interaction effect between mathematics performance group and gender on emotions was significant. Only females with MD showed significantly higher levels of hopelessness and shame than females with LA, while males with LA even reported more boredom than males with MD. Concerning gender differences, males reported slightly more pride and enjoyment than females. However, the direction and magnitude of the gender differences showed great variance among mathematics performance groups. The practical implications of the results are discussed.     

Gender Differences in Performance on Mathematics Achievement Items

Gender differences in performance on three types of mathematics test items were investigated using data from students with three different course backgrounds. Eight randomly equivalent samples of high school seniors were each given a unique form of the ACT Assessment Mathematics Usage Test. Only students with three specific profiles of high school mathematics coursework were considered in the analysis. The three background conditions ranged from little mathematics (Algebra I only) to a modest background (two Algebra courses and Geometry) to a full mathematics program including Introductory Calculus. For each background condition, examinee performance was analyzed in a 2 (Gender) x 3 (Item Category) x 8 (Test Form) split-plot factorial design. The results indicated, that, at each of the studied background levels, females performed less well than males on geometry (strategic, geometric) and reasoning (strategic, nongeometric) items. On the other hand, females performed as well as males on algorithmic, operationsoriented items.     

Making the Cut in School Districts: Alternative Methods for Setting Cutscores

School districts are under increasing pressure to demonstrate that students are competent in various skills, such as reading and mathematics. Often, demonstrating competence involves comparing performance on assessments to a standard of performance, as embodied in a test score. These scores, called cutscores, separate competent and noncompetent examinees. Because school districts have varied sources of data to inform cutscore decisions, various methods are available for suggesting cutscores. In 2 studies, we examine a selection of methods for arriving at rational and defensible cutscores in school districts. Methods examined are the Angoff (1971) method; the borderline and contrasting groups methods; and 2 new methods, 1 based on course enrollment and 1 based on expert expectations. In Study 1, the Angoff, borderline group, and course enrollment results were consistent, whereas in Study 2, the Angoff and professional judgment methods yielded suggested cutscores that were lower than the borderline group method. Suggestions for further study include the reaction of teachers to the cutscore-setting methods, the effect of different teacher attributes on the results of cutscore-setting methods, and the efficiency of and most effective order for employing the various methods.     

Gender Differences in Lunar‐related Scientific and Mathematical Understandings

This paper reports an examination on gender differences in lunar phases understanding of 123 students (70 females and 53 males). Middle‐level students interacted with the Moon through observations, sketching, journalling, two‐dimensional and three‐dimensional modelling, and classroom discussions. These lunar lessons were adapted from the Realistic Explorations in Astronomical Learning (REAL) curriculum. Students’ conceptual understandings were measured through analysis of pre‐test and post‐test results on a Lunar Phases Concept Inventory (LPCI) and a Geometric Spatial Assessment (GSA). The LPCI was used to assess conceptual learning of eight science and four mathematics domains. The GSA was used to assess learning of the same four mathematical domains; however, the GSA test items were not posed within a lunar context. Results showed both male and female groups to make significant gains in understanding on the overall LPCI test scores as well as significant gains on five of the eight science domains and on three of the four mathematics domains. The males scored significantly higher than the females on the science domain, phase—Sun/Earth/Moon positions, and on the mathematics domain geometric spatial visualisation. GSA results found both male and female groups achieving a significant increase in their test scores on the overall GSA. Females made significant gains on the GSA mathematics domains, periodic patterns and cardinal directions, while males made significant gains on only the periodic patterns domain. Findings suggest that both scientific and mathematical understandings can be significantly improved for both sexes through the use of spatially focused, inquiry‐oriented curriculum such as REAL.     

Cognitive style and gender differences in children’s mathematics achievement

Males are often found to outperform females in tests of mathematics achievement and it has been proposed that this may in part be explained by differences in cognitive style. This study investigated the relation between Wholistic-Analytic and Verbal-Imagery cognitive style, gender and mathematics achievement in a sample of 190 Australian primary school students aged between 8–11?years (M?=?9.77, SD?=?1.05). It was hypothesised that males would outperform females in mathematics achievement tests, and that gender would interact with cognitive style on mathematics performance. A significant gender/cognitive style interaction was found. Boys with an Analytic/Imagery style achieved significantly higher results than the girls with an Analytic/Imagery style, supporting the contention that certain cognitive styles affect boys and girls mathematics performance differently. Implications of results and strategies for improving mathematics achievement among girls are discussed.     

Preservice Elementary Teachers’ Voices Describe How Their Teacher Motivated Them to do Mathematics

In this study, data in the form of (preservice teacher) student voices taken from mathematical autobiographies, written at the beginning of the semester, and end-of-semester reflections, were analyzed in order to examine why preservice elementary school teachers were highly motivated in a social constructivist mathematics course in which the teacher emphasized mastery goals. The findings suggest that students entered the course with a wide variety of feelings about mathematics and their own mathematical ability. At the end of the semester, students wrote about aspects of the course that “led to their growth as a mathematical thinker and as a mathematics teacher…” Student responses were coded within themes that emerged from the data: Struggle; Construction of meaning [mathematical language; mathematical understanding]; Grouping [working in groups]; Change [self-efficacy; math self-concept]; and the Teacher’s Role. These themes are described using student voices and within a motivation goal theory framework. The role of struggle, in relation to motivation, is discussed.     

Differential effectiveness by gender of instructional methods on achievement in mathematics at tertiary level

In order to investigate the effect of methods of teaching on achievement in mathematics of first year National Certificate of Education (NCE) students in Nigeria, a sample of 165 students comprising 71 males and 94 females, was exposed to three methods of teaching in a second semester basic mathematics course. The three methods were the traditional lecture method, interactive method with individual use of materials and interactive method with group use of materials. Analysis of covariance showed a significant interactive effect of gender and method of teaching on student achievement. Further analysis showed that the use of interactive methods with group use of materials favoured males while interactive method with individual use of materials favoured females. Implications of the results for teaching of tertiary mathematics are discussed. This revised version was published online in July 2006 with corrections to the Cover Date.     

Between the Academic Mathematics and the Mathematics Education Worlds

Change is always difficult, and there is no great doubt that teachers need time to come to terms with it. This fact is, however, too often forgotten. In the spirit of my earlier work, this paper is shaped by an action research perspective. It provides some insights into the learning experiences of a group of eleven experienced secondary mathematics teacher, who were enrolled in a Perspectives on Mathematics Education two semesters course, within the context of a Masters on Mathematics Teaching programme, held at a Department of Mathematics, in a Portuguese University. The first part of the paper highlights the conflicting pressures and stresses suffered, during the first semester course, by the participating teachers. Confrontation with new ideas about both mathematics and mathematics education, as well as work overload, had a damaging impact on the teachers’ self‐confidence and morale. The second part of the paper covers the second semester course by addressing three fundamental questions for teachers, which aimed at helping the students bridge the academic mathematics and the mathematics education worlds. Finally, brief scenarios of three participating teachers’ professional development throughout the course are discussed in order to illustrate the challenges they had to face and the possibilities the course (and the Masters programme) offered to promote individual change.     

高职培养目标下的应用数学课程改革

随着高职教育改革的逐步深入,各高职院校专业课程设置和教学内容相应调整,基础理论课程学时不断缩减。基于高职教育培养目标,针对目前有限的数学教学时数以及生源的基本情况,本着"应用为主旨,理论适度"的原则,通过课程教学内容体系、教学方法与教学手段的改革,将高职数学教育思想的重点从"学数学"向"用数学"转移。     

Using Graph Talks to Engage Undergraduates in Conversations Around Social Justice

Abstract

We present a mathematical activity called graph talks as a new pedagogical routine to intertwine social justice issues and mathematics. Adapted from number talks, graph talks involve students analyzing, interpreting, and discussing real-life data represented in graphs. Graphs may be strategically selected to both highlight a relevant social justice issue while also reinforcing the mathematics content of the course. We report on experiences using graph talks in undergraduate mathematics content courses for future teachers in the USA, and provide examples of the undergraduates doing mathematics while analyzing the social justice context of the graphs.     

A comparison of cognitive skills between completes and dropouts in a college physics course

Separate tests of mathematics skills, proportions and translations between words, and mathematical expression given the first week of class were correlated with performance for students who completed a college physics course (completes) and students who dropped the course (drops). None of the measures used discriminated between completes and drops as groups. However, the correlations between score on the test of math skills and on both of the measures involving mathematical reasoning (proportions, and translations) were dramatically different for the two groups. For the completes, these correlations were slightly negative, but not significant. For the drops, the correlation was positive and signficant at the p < 0.01 level. This suggests the possibility that the students who complete the course tend to have independent cognitive skills for the “mechanical” mathematical operations and for questions requiring some degree of reasoning, while, in contrast, the same skills for students at high risk for dropping overlap significantly. The study also found that when students are given the results of mathematics skills tests in a diagnostic mode, with feedback on specific areas of weakness and time to remediate with self study, the correlation between mathematics and physics is lower than previously reported values.