STEM: Challenges and opportunities for mathematics education

Climbing Mountains, Building Bridges is a rich theme for exploring some of the “challenges, obstacles, links, and connections” facing mathematics education within the current STEM climate (Science, Technology, Engineering and Mathematics). This paper first considers some of the issues and debates surrounding the nature of STEM education, including perspectives on its interdisciplinary nature. It is next argued that mathematics is in danger of being overshadowed, in particular by science, in the global urgency to advance STEM competencies in schools and the workforce. Some suggestions are offered for lifting the profile of mathematics education within an integrated STEM context, with examples drawn from modelling with data in the sixth grade.

An investigation of post-primary students' images of mathematics

This research study investigates the image of mathematics held by 5th-year post-primary students in Ireland. For this study, “image of mathematics” is conceptualized as a mental representation or view of mathematics, presumably constructed as a result of past experiences, mediated through school, parents, peers or society. It is also understood to include attitudes, beliefs, emotions, self-concept and motivation in relation to mathematics. This study explores the image of mathematics held by a sample of 356 5th-year students studying ordinary level mathematics. Students were aged between 15 and 18 years. In addition, this study examines the factors influencing students‟ images of mathematics and the possible reasons for students choosing not to study higher level mathematics for the Leaving Certificate. The design for this study is chiefly explorative. A questionnaire survey was created containing both quantitative and qualitative methods to investigate the research interest. The quantitative aspect incorporated eight pre-established scales to examine students‟ attitudes, beliefs, emotions, self-concept and motivation regarding mathematics. The qualitative element explored students‟ past experiences of mathematics, their causal attributions for success or failure in mathematics and their influences in mathematics. The quantitative and qualitative data was analysed for all students and also for students grouped by gender, prior achievement, type of post-primary school attending, co-educational status of the post-primary school and the attendance of a Project Maths pilot school. Students‟ images of mathematics were seen to be strongly indicated by their attitudes (enjoyment and value), beliefs, motivation, self-concept and anxiety, with each of these elements strongly correlated with each other, particularly self-concept and anxiety. Students‟ current images of mathematics were found to be influenced by their past experiences of mathematics, by their mathematics teachers, parents and peers, and by their prior mathematical achievement. Gender differences occur for students in their images of mathematics, with males having more positive images of mathematics than females and this is most noticeable with regards to anxiety about mathematics. Mathematics anxiety was identified as a possible reason for the low number of students continuing with higher level mathematics for the Leaving Certificate. Some students also expressed low mathematical self-concept with regards to higher level mathematics specifically. Students with low prior achievement in mathematics tended to believe that mathematics requires a natural ability which they do not possess. Rote-learning was found to be common among many students in the sample. The most positive image of mathematics held by students was the “problem-solving image”, with resulting implications for the new Project Maths syllabus in post-primary education. Findings from this research study provide important insights into the image of mathematics held by the sample of Irish post-primary students and make an innovative contribution to mathematics education research. In particular, findings contribute to the current national interest in Ireland in post-primary mathematics education, highlighting issues regarding the low uptake of higher level mathematics for the Leaving Certificate and also making a preliminary comparison between students who took part in the piloting of Project Maths and students who were more recently introduced to the new syllabus. This research study also holds implications for mathematics teachers, parents and the mathematics education community in Ireland, with some suggestions made on improving students‟ images of mathematics.

Worldview awareness and adult education /

This research derived data from two sets of interviews with 18 participants who were involved in adult education in either a community college or a university. The purpose was to explore their worldview awareness. Through the interviews, the participants shared their understanding of worldview as a term and concept and as something that might be seen to apply in their practice of teaching. The responses indicated that there are three kinds of awareness (noetic, experiential, and integrative) which appeared to develop upon a landscape of constraints and opportunities. Constraints were seen to fall into the 5 broad categories of institutional, circumstantial, self-imposed, other-imposed, and discipline-related constraints. Opportunities for developing awareness were linked to individual experiences and could occur to different extents in many directions, on different occasions, and in different phases of life. Through this research, and in spite of the prevalence of worldview in the human experience, it was foimd that the term and concept have remained on the margins of educational discourse. Consequently, theory, research, and practice have been deprived of a useful and usable concept.

Myths of Modern Education

My focus is on assessment criteria of language proficiency in community college education. To demand clear writing is an application of scientism; it seeks to keep separate the fact/value distinction of positivism. This dangerously undermines the democratizing possibilities of education, since clear writing, taken to its extreme, is ultimately anonymous and dehumanizing. The active student-as-citizen is, therefore, subsumed under the neoliberal dictate of the passive student-as-consumer. The process of language acquisition is reduced to a fictitious act of knowledge transmission and regurgitation, and, therefore, those subversive aspects of language learning, such as creativity and critical inquiry, are undermined. An initial overview of the tenets of modernity will provide a conceptual framework for this examination.

Online distance mathematics education in Brazil: research, practice and policy

In this article, we address online distance mathematics education research and practice in Brazil, which are relative newcomers to the educational scene. We present the national context of education in Brazil, highlighting the organization of the educational system, and also a summary of national legislation on distance education and an overview of digital inclusion in the country. We outline the potential and relevance of distance education for the Brazilian educational system and show how it could intervene in the system. With respect to research and practice in online mathematics education, we present support for research, examples of studies and highlight different aspects being addressed, including its essential components. In addition, we discuss the synergy between distance education and teacher education, and mathematics distance education and modeling, as well as other initiatives in the national scenario.

Student Transition to College

In this action research study of recent graduates from my district, I investigated their level of readiness for college-level mathematics courses. I discovered that the students have a wide variety of experiences in college. There are many factors that determine success in college mathematics courses. These factors include size of college, private or public, university or community college. Other factors include students’ choice of major, maturity level, and work ethic. As a result of this research, I plan to raise the individual expectations in my classroom. It is our duty as high school educators to prepare the students for a wide variety of experiences in college. We cannot control where the students attend college or what they study. High schools need to prepare the students for all possibilities and ensure that they have a solid knowledge of the baseline mathematics skills.

The use of films and television in mathematics education, December 1957.

Mode of access: Internet.

Sex discrimination and sex bias in vocational education : a model for positive awareness change /

Final report of a project carried out at Richland Community College, July 1979 to June 1980, and funded by the Research and Development Section of the Dept. of Adult, Vocational, and Technical Education in the Illinois Office of Education.

A Didactic Model of Computer Supported Education in Higher Mathematics

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2016

Influence, policy formation, and higher education in Florida: 1989--1994

This study examined the perceptions of state governmental officials and administrators from the state university system, community college system, and independent institutions concerning the ability of various groups to influence state-level higher education policy formation. The study was conducted in Florida for the period 1989-94. Florida has a history of legislative involvement in higher education, a unique system of state universities and community colleges, and a limited number of private institutions of higher education. This study was grounded in the works of Mortimer and McConnell (1978), Millett (1987), Marshall, Mitchell, and Wirt (1989) and Finitfer, Baldwin, and Thelin (1991).^ The study represented the application of an embedded, single-case design. A survey was the primary collection instrument. Respondents were asked questions concerning: (a) personal involvement in higher education, (b) perceptions of the ability of various groups to influence higher education policy, (c) the names of particular individuals considered key players in higher education policy formation, (d) important state-level documents, (e) personal knowledge of key areas of policy formation, and (f) emerging higher education issues in Florida. Quantitative and qualitative methods were used to analyze the different sections of the survey.^ The findings indicated that a power and influence hierarchy exists among the various groups that attempt to influence higher education policy and that this hierarchy is recognized by state government officials and higher education administrators. While an analysis of variance of the various groups revealed a few differences between state government officials and higher education personnel, the high overall agreement was an important finding. Leading members of the legislature, especially the Chair of the Senate Higher Education Committee, and key staff members, especially from the Senate Ways & Means Committee, were considered the most influential. Representatives from higher education institutions and research organizations were considered among the least influential. Emerging issues identified by the respondents included: (a) the political nature of state-level policy formation, (b) the role of legislative staff, (c) the competition for state moneys, (d) legislative concern for state-wide budgetary efficiency, and (e) legislative attempts to define quality and supervise academic program development for higher education. ^

The knowledge and use of critical thinking teaching strategies of faculty in associate degree nursing education programs

The purpose of this study was to determine the knowledge and use of critical thinking teaching strategies by full-time and part-time faculty in Associate Degree Nursing (ADN) programs. ^ Sanders CTI (1992) instrument was adapted for this study and pilot-tested prior to the general administration to ADN faculty in Southeast Florida. This modified instrument, now termed the Burroughs Teaching Strategy Inventory (BTSI), returned reliability estimates (Cronbach alphas of .71, .74, and .82 for the three constructs) comparable to the original instrument. The BTSI was administered to 113 full-time and part-time nursing faculty in three community college nursing programs. The response rate was 92% for full-time faculty (n = 58) and 61% for part-time faculty (n = 55). ^ The majority of participants supported a combined definition of critical thinking in nursing which represented a composite of thinking skills that included reflective thinking, assessing alternative viewpoints, and the use of problem-solving. Full-time and part-time faculty used different teaching strategies. Full-time faculty most often used multiple-choice exams and lecture while part-time faculty most frequently used discussion within their classes. One possible explanation for specific strategy choices and differences might be that full-time faculty taught predominately in theory classes where certain strategies would be more appropriate and part-time faculty taught predominately clinical classes. Both faculty types selected written nursing care plans as the second most effective critical thinking strategy. ^ Faculty identified several strategies as being effective in teaching critical thinking. These strategies included discussion, case studies, higher order questioning, and concept analysis. These however, were not always the strategies that were used in either the classroom or clinical setting. ^ Based on this study, the author recommends that if the profession continues to stress critical thinking as a vital component of practice, nursing faculty should receive education in appropriate critical teaching strategies. Both in-service seminars and workshops could be used to further the knowledge and use of critical thinking strategies by faculty. Qualitative research should be done to determine why nursing faculty use self-selected teaching strategies. ^

Effects of academic integration on the persistence and achievement of under-prepared college students

The purpose of this dissertation was to examine the effect of academic integration, defined in terms of instructor/student contact, on the persistence of under-prepared college students and the achievement of those who persist. The overall design of this study compared instructor-initiated contact with conventional contact. The dependent variables were persistence, achievement, motivation and anxiety. Information was collected by administering the College-Level Mathematics Test (CLM), the Perceived Affective Contact Questionnaire (PAC), the expectancy and anxiety components of the Motivated Strategies for Learning Questionnaire (MSLQ), a departmental final examination, and by accessing university records. The sample consisted of 130 college algebra students at a large, public university with a Hispanic majority. The main analyses consisted of a 2 x 2 x 2 ANOVA (treatment by ethnicity by gender) to test for differences in achievement, t-tests to compare motivation, anxiety and perceived affective contact scores for the two groups, Chi-square tests to assess differences in persistence, and Pearson Product-Moment Correlation to determine the relationship between pretest scores and achievement variables. Results indicated that neither instructor-initiated contact, gender nor ethnicity is related to persistence, motivation or anxiety. A significant disordinal interaction of treatment and ethnicity was observed, with Hispanic experimental students scoring significantly higher on a test of algebra achievement than Hispanic control students. ^ Academic integration, defined in terms of instructor/student contact, has a positive influence on the achievement of Hispanic students. This may imply their positive responsiveness to the relational aspect of contact due to traditional cultural values of interdependence, acquiescence to authority and physical closeness. Such interactive feedback is a means by which students with these values are recognized as members of the university academic community, prompting increased academic effort. Training in contact initiation to promote academic integration is implied, by the results of this study, for instructors dealing with first year students, especially instructors at institutions accommodating instructional methods to the needs of diverse groups. ^

The effect of an enriched learning community on success and retention in chemistry courses

Since the mid-1990s, the United States has experienced a shortage of scientists and engineers, declining numbers of students choosing these fields as majors, and low student success and retention rates in these disciplines. Learning theorists, educational researchers, and practitioners believe that learning environments can be created so that an improvement in the numbers of students who complete courses successfully could be attained (Astin, 1993; Magolda & Terenzini, n.d.; O'Banion, 1997). Learning communities do this by providing high expectations, academic and social support, feedback during the entire educational process, and involvement with faculty, other students, and the institution (Ketcheson & Levine, 1999). ^ A program evaluation of an existing learning community of science, mathematics, and engineering majors was conducted to determine the extent to which the program met its goals and was effective from faculty and student perspectives. The program provided laptop computers, peer tutors, supplemental instruction with and without computer software, small class size, opportunities for contact with specialists in selected career fields, a resource library, and Peer-Led Team Learning. During the two years the project has existed, success, retention, and next-course continuation rates were higher than in traditional courses. Faculty and student interviews indicated there were many affective accomplishments as well. ^ Success and retention rates for one learning community class ( n = 27) and one traditional class (n = 61) in chemistry were collected and compared using Pearson chi square procedures ( p = .05). No statistically significant difference was found between the two groups. Data from an open-ended student survey about how specific elements of their course experiences contributed to success and persistence were analyzed by coding the responses and comparing the learning community and traditional classes. Substantial differences were found in their perceptions about the lecture, the lab, other supports used for the course, contact with other students, helping them reach their potential, and their recommendation about the course to others. Because of the limitation of small sample size, these differences are reported in descriptive terms. ^