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Since joining Bennett College in 2008, Dr. Oh has directed 17 undergraduate students’ research projects in applied mathematics. The National Science Foundation (NSF) awarded Dr. Oh grants from the Historically Black Colleges and Universities – Undergraduate Program (HBCU-UP). The grants allowed her to mentor eight mathematics majors/minors in summer research for four years (2009–2012). Based on the four years of successful undergraduate research (UGR) experiences, she, together with Dr. Jan Rychtar from the University of North Carolina at Greensboro (UNCG), received funding for two summers National Research Experience for Undergraduates (NREUP), an activity of Mathematical Association of America (MAA), funded by the NSF in 2013 and 2014. During the six years of funded UGR, Bennett students made 33 presentations at regional, state, and national conferences; two teams won the outstanding student presentation award and first place for presentation. Three papers were published; two of them by Dr. Oh and one of them with a UGR coauthor. Three projects resulted in manuscripts. As a result of the UGR experiences in 2015, Dr. Oh received three more grants: the MAA NREUP, the NSF’s Center for Undergraduate Research in Mathematics (CURM), and the NSF’s Preparation for Industrial Careers in Mathematical Sciences (PIC Math) program awarded grants. A grant was also submitted to HBC-UP-Targeted Infusion Projects: Computational Mathematics at Bennett College.

Overall, the six years of UGR at Bennett College attained the three goals of: (1) enhancing the quality of undergraduate STEM education and research for a deeper appreciation in those disciplines; (2) supporting increased graduation rates in STEM undergraduate education of females; and (3) broadening participation in the nation’s STEM workforce as well as enrollments in graduate schools.

This chapter explores the alignment of teacher leadership and student learning in a professional development school (PDS) by reporting on a successful teacher-initiated PDS project at a southeastern United States high school. De-tracking efforts using teacher collaboration and efficacy in ninth grade Algebra I College Prep courses were examined for effectiveness to improve the achievement in mathematics of students who enter high school without pre-algebra skills. The chapter critiques the lack of democracy inherent in educational tracking as a default system of student grouping because it perpetuates inequities, particularly for students most likely to experience challenges with academic achievement.

The Nanoscience Project at Hampton University (NanoHU) responds to the international call for more workers in the field of science, technology, engineering, and mathematics (STEM) who are nano-savvy and prepared for engagement in the fourth industrial revolution. The project’s initial intent to answer statewide and national initiatives was congruent with Hampton University’s (HU) desire for increased diversification of research interests across HU and enhanced the preparation of its students for doctoral degrees. Funded by the National Science Foundation, the five-year project (2012–2017) purposed to develop and systematically implement an integrated, multidisciplinary STEM research and education program in nanoscience at HU. Evidence of NanoHU’s success is demonstrated in the following accomplishments at the University: (1) a new Nanoscience Minor, (2) a new “Introduction to Nanoscience” course that has had a total enrollment of 82 students from STEM and non-STEM fields, (3) the NanoHU Scholars Program that has prepared 23 Scholars for entry into graduate programs and 12 NanoHU Fellows for similar pursuits, (4) a Faculty Development Program that has supported a total of 20 STEM and non-STEM faculty members, (5) a NanoHU Seminar Series that has informed the HU community about the science, business, legal, and ethical topics pertaining to nanoscience and nanotechnology, and (6) a viable outreach program that has prepared high school students (NanoHU Pioneers) for successful matriculation as STEM majors at the college level and stimulated STEM interest in the surrounding community. It is worth emphasizing that execution of the project also resulted in engagement between STEM and non-STEM constituents of the University, establishing a platform for a formal science, technology, engineering, arts, and mathematics (STEAM) institutional initiative. Efforts to communicate the importance of nanoscience to the HU community through seminars resulted in an infusion of nanoscience modules in STEM and non-STEM courses including courses in English, Journalism, Ethics, and other pre-law courses. Although NanoHU is specific to the needs of HU, its collaborative construct promises to be an innovative model for STEM and STEAM programs at other institutions with a similar construct.

The purpose of this paper is to test peer-learning in small groups as a didactic method with respect to its effectiveness in homogenising initially heterogeneous learning collectives.

The study is based on two sets of data collection (before and after the application of the tested method). The data collection tools were student self-assessment and student observation by a third person.

Peer-learning and group work foster the establishment of self-confidence and activity among students (in particular among initially less active and less qualified students). Consequently, the teaching and learning atmosphere improves. In the long run, this effect fosters a homogenisation of initially inhomogeneous levels of qualification/competence at a high level.

There was no control group, hence the results are to be understood as tendencies rather than robust scientific findings. Nevertheless, the tendencies are clear and unambiguous.

Peer-learning can be used as a simple didactic method in order to prevent frustration by mental over or underload in strongly heterogeneous learning collectives.

This case study is the first work of its kind to assess the effectiveness of peer-learning with respect to the homogenisation of initially heterogeneous learning collectives.

Heads of secondary school mathematics department were surveyed to assess their perceptions of how they influence and impact students' performance in mathematics. Survey results showed both agreement and discrepancy between what department heads perceived as actual and optimal activities to enhance instructional improvement, influence student achievement, and implement initiatives for change. The report concludes with a description of the pre‐service and in‐service programs.

This chapter provides an alternative interpretation of the emergence of the “Ramsey-Cass-Koopmans” growth model, a framework which, alongside the overlapping generation model, is the dominant approach in today’s macroeconomics. By focusing on the role Paul Samuelson played through the works he developed in the turnpike literature, the author’s goal is to provide a more accurate history of growth theory of the 1940–1960s, one which started before Solow (1956) but never had him as a central reference. Inspired by John von Neumann’s famous 1945 article, Samuelson wrote his first turnpike paper by trying to conjecture an alternative optimal growth path (Samuelson, 1949 [1966]). In the 1960s, after reformulating the intertemporal utility model presented in Ramsey (1928), Samuelson began to propound it as a representative agent model. Through Samuelson’s interactions with colleagues and PhD students at the Massachusetts Institute of Technology (MIT), and given his standing in the profession, he encouraged a broader use of that device in macroeconomics, particularly, in growth theory. With the publication of Samuelson (1965), Tjalling Koopmans and Lionel McKenzie rewrote their own articles in order to account for the new approach. This work complements a recently written account on growth theory by Assaf and Duarte (2018).

A family of preconditioned dual‐primal FETI iterative algorithms for the solution of algebraic systems arising from edge element approximations in two dimensions is presented.

The primal constraints, which determine the size of the coarse problem to be solved at each iteration step, are here suitable averages over subdomain edges. The condition number of the corresponding methods is independent of the number of subdomains and possibly large jumps of the coefficients.

For h finite elements, it grows only polylogarithmically with the number of unknowns associated with individual substructures, while for hp approximations on geometrically refined meshes, it is independent of arbitrarily large aspect ratios.

Proposes an algorithm with a rate of convergence that is independent of possibly large jumps of the coefficients and mesh aspect ratios.

The purpose of this contribution is the investigation and the assessment of François Perroux’s book – Unités Actives et Mathématiques Nouvelles – Révision de la théorie de l’équilibre économique général (Perroux, 1975a) – in connection with the research program he initiated before and during the Second World War. Concerning the analytical relevance of this book there is no consensus. According to some economists it has to be considered as the masterpiece of Perroux’s intellectual project which provides an alternative approach to the usual theory of general economic equilibrium (GEE). Others think that today the book is almost entirely forgotten and it does not help really to improve Perroux’s general research project. We try to set here our own view combining two ways of proceeding in the investigation about the relevance of the book. The first one develops an analysis of Unités Actives as dispassionate as possible, avoiding taking into account the personality as well as the social and political views of François Perroux. The second favors a retrospective approach relating the 1975 book to the previous contributions of the author. The first three sections of our contribution are dedicated to Perroux’s contributions written before his attempt to “revise” the usual version of the GEE theory. The five following sections are devoted to the direct contents of the “revision” of this theory and tries to propose a global assessment of it.