Teaching University-Level Mathematics Using Mathematica

This paper considers the use of the computer algebra system Mathematica for teaching university-level mathematics subjects. Outlined are basic Mathematica concepts, connected with different mathematics areas: algebra, linear algebra, geometry, calculus and analysis, complex functions, numerical analysis and scientific computing, probability and statistics. The course “Information technologies in mathematics”, which involves the use of Mathematica, is also presented - discussed are the syllabus, aims, approaches and outcomes.

A comparison of content-based and context-based teaching on ninth-grade mathematics achievement

The purpose of this study was to determine if an experimental context-based delivery format for mathematics would be more effective than a traditional model for increasing the performance in mathematics of at-risk students in a public high school of choice, as evidenced by significant gains in achievement on the standards-based Mathematics subtest of the FCAT and final academic grades in Algebra I. The guiding rationale for this approach is captured in the Secretary's Commission on Achieving Necessary Skills (SCANS) report of 1992 that resulted in school-to-work initiatives (United States Department of Labor). Also, the charge for educational reform has been codified at the state level as Educational Accountability Act of 1971 (Florida Statutes, 1995) and at the national level as embodied in the No Child Left Behind Act of 2001. A particular focus of educational reform is low performing, at-risk students. ^ This dissertation explored the effects of a context-based curricular reform designed to enhance the content of Algebra I content utilizing a research design consisting of two delivery models: a traditional content-based course; and, a thematically structured, content-based course. In this case, the thematic element was business education as there are many advocates in career education who assert that this format engages students who are often otherwise disinterested in mathematics in a relevant, SCANS skills setting. The subjects in each supplementary course were ninth grade students who were both low performers in eighth grade mathematics and who had not passed the eighth grade administration of the standards-based FCAT Mathematics subtest. The sample size was limited to two groups of 25 students and two teachers. The site for this study was a public charter school. Student-generated performance data were analyzed using descriptive statistics. ^ Results indicated that contrary to the beliefs held by many, contextual presentation of content did not cause significant gains in either academic performance or test performance for those in the experimental treatment group. Further, results indicated that there was no meaningful difference in performance between the two groups. ^

The efficacy of an interactive computer system for teaching developmental mathematics to college students

Many students are entering colleges and universities in the United States underprepared in mathematics. National statistics indicate that only approximately one-third of students in developmental mathematics courses pass. When underprepared students repeatedly enroll in courses that do not count toward their degree, it costs them money and delays graduation. This study investigated a possible solution to this problem: Whether using a particular computer assisted learning strategy combined with using mastery learning techniques improved the overall performance of students in a developmental mathematics course. Participants received one of three teaching strategies: (a) group A was taught using traditional instruction with mastery learning supplemented with computer assisted instruction, (b) group B was taught using traditional instruction supplemented with computer assisted instruction in the absence of mastery learning and, (c) group C was taught using traditional instruction without mastery learning or computer assisted instruction. Participants were students in MAT1033, a developmental mathematics course at a large public 4-year college. An analysis of covariance using participants' pretest scores as the covariate tested the null hypothesis that there was no significant difference in the adjusted mean final examination scores among the three groups. Group A participants had significantly higher adjusted mean posttest score than did group C participants. A chi-square test tested the null hypothesis that there were no significant differences in the proportions of students who passed MAT1033 among the treatment groups. It was found that there was a significant difference in the proportion of students who passed among all three groups, with those in group A having the highest pass rate and those in group C the lowest. A discriminant factor analysis revealed that time on task correctly predicted the passing status of 89% of the participants. ^ It was concluded that the most efficacious strategy for teaching developmental mathematics was through the use of mastery learning supplemented by computer-assisted instruction. In addition, it was noted that time on task was a strong predictor of academic success over and above the predictive ability of a measure of previous knowledge of mathematics.^

What is research in statistics education?

The history and current nature of research in statistics education are outlined and some suggestions for its future direction are made. It is claimed that research in statistics education is a research discipline in its own right.

A Course on sample surveys for statistics students

Statisticians should be involved at all stages of sample surveys and courses on surveys need to reflect this by covering both theoretical and practical aspects. Teaching methods could include some hands-on experience, directed reading, and use of software designed for teaching or professional use, as well as more traditional lecturing. Suggestions are given for a course of about fifty hours.

A NARRATIVE CASE STUDY EXAMINING THE EXPEREINCES OF MEN TEACHING SPECIAL EDUCATION IN THE ELEMENTARY GRADES

Over the past several decades, the landscape of the workplace has changed in many industrialized nations. In the United States this time period has seen the outright elimination or outsourcing of well-paying “blue collar” jobs. The workforce continues to evolve, change, and become more global, and men and women are making nontraditional occupational decisions, whether by choice or necessity. The traditional views of men and women have begun to shift. However, gender assumptions about masculinity have failed to keep pace with the shift. There are approximately 1.8 million elementary grade level teachers in United States public schools; of these, a mere 9% are male. The paucity of male teachers in the elementary grades has been a concern for many years. According to the Bureau of Labor Statistics, roughly 86% of all special education teachers are female. In 2012, 86.2% of all special education teachers were female, and by the following year, the number had dropped to 80.4%. The evidence indicates that more men are embarking on nontraditional career paths. Despite theses changes there is minimal research looking at the experiences of men working as special education teachers My goal in this study was to obtain a better understanding of the influences on and the process by which men make the decision to pursuing a career teaching special education in the elementary grades. The study utilized social role theory (Eagly, 1987), and Stead’s (2014) social constructionist theory as well as Williams’ (1992) glass escalator proposition The findings of this study confirm some of the factors related to career choice, experiences and barriers faced by men in nontraditional careers detailed in the literature. Three themes emerged for each research question: Experiences, advocacy, and benefits. Three themes emerged around the second research question exploring the experiences of men in a female-concentrated profession: The male body, communication, and perception. Three themes arose around the third research question: administration, My Masculinity, and pay. The findings run counter to Williams’ glass escalator proposition, which posits men working in female-concentrated professions are at an advantage. The findings advance support for Buschmeyer’s theory of (2013) alternative masculinity.

Computer and laboratory simulation in the teaching of neonatal nursing: innovation and impact on learning

Objectives: to evaluate the cognitive learning of nursing students in neonatal clinical evaluation from a blended course with the use of computer and laboratory simulation; to compare the cognitive learning of students in a control and experimental group testing the laboratory simulation; and to assess the extracurricular blended course offered on the clinical assessment of preterm infants, according to the students. Method: a quasi-experimental study with 14 Portuguese students, containing pretest, midterm test and post-test. The technologies offered in the course were serious game e-Baby, instructional software of semiology and semiotechnique, and laboratory simulation. Data collection tools developed for this study were used for the course evaluation and characterization of the students. Nonparametric statistics were used: Mann-Whitney and Wilcoxon. Results: the use of validated digital technologies and laboratory simulation demonstrated a statistically significant difference (p = 0.001) in the learning of the participants. The course was evaluated as very satisfactory for them. The laboratory simulation alone did not represent a significant difference in the learning. Conclusions: the cognitive learning of participants increased significantly. The use of technology can be partly responsible for the course success, showing it to be an important teaching tool for innovation and motivation of learning in healthcare.