Hilbert‘s Sixteenth Problem and Its Generalization

This paper deals with Hilbert‘s 16th problem and its generalizations.The configurations of all closed branches of an algebraic curve of degreee n are discussed.The maximum number of sheets for an algebraic equation of degree n and the maximum number of limit cycles for a planar algebraic autonomous system are achieved.The author also considers different generalizations and some related problems.     

Concept learning by pigeons: Matching-to-sample with trial-unique video picture stimuli

Pigeons were trained to match-to-sample with several new methodologies: a large number of stimuli, computer-drawn color picture stimuli, responses monitored by a computer touch screen, stimuli presented horizontally from the floor, and grain reinforcement delivered onto the picture stimuli. Following acquisition, matching-to-sample concept learning was assessed by transfer to novel stimuli on the first exposure to pairs of novel stimuli. One group (trial-unique), trained with 152 different pictures presented once daily, showed excellent transfer (80% correct). Transfer and baseline performances were equivalent, indicating that the matching-to-sample concept had been learned. A second group (2-stimulus), trained with only two different pictures, showed no evidence of transfer. These results are discussed in terms of the effect of numbers of exemplars on previous failures to find concept learning in pigeons, and the implications of the positive finding from this experiment on abstract concept learning and evolutionary cognitive development.     

What's in It for Me? Incentives,Learning, and Completion in Massive Open Online Courses

This study investigated the distribution of incentives (e.g., certificates, badges) for massive open online course (MOOC) completion, and relationships between incentives and MOOC outcomes. Participants were 779 MOOC students internationally who participated in at least 303 different MOOCs offered by at least 12 providers. MOOC participants most commonly intended to receive, and in actuality received, free and paid course certificates of completion; other incentives (e.g., digital badges, postsecondary credits) were far less common. In addition, MOOC participants' intentions to receive both free and paid certificates were consistently and positively related to perceived learning and course completion, net other factors. (Keywords: massive open online courses, MOOCs, motivation, incentives, microcredentials, certificates of completion)     

Evaluating a technology supported interactive response system during the laboratory section of a histology course

Monitoring of student learning through systematic formative assessment is important for adjusting pedagogical strategies. However, traditional formative assessments, such as quizzes and written assignments, may not be sufficiently timely for making adjustments to a learning process. Technology supported formative assessment tools assess student knowledge, allow for immediate feedback, facilitate classroom dialogues, and have the potential to modify student learning strategies. As an attempt to integrate technology supported formative assessment in the laboratory section of an upper‐level histology course, the interactive application Learning Catalytics^TM, a cloud‐based assessment system, was used. This study conducted during the 2015 Histology courses at Cornell University concluded that this application is helpful for identifying student misconceptions “on‐the‐go,” engaging otherwise marginalized students, and forming a new communication venue between students and instructors. There was no overall difference between grades from topics that used the application and grades from those that did not, and students reported that it only slightly helped improve their understanding of the topic (3.8 ± 0.99 on a five‐point Likert scale). However, they highly recommended using it (4.2 ± 0.71). The major limitation was regarding the image display and graphical resolution of this application. Even though students embrace the use of technology, 39% reported benefits of having the traditional light microscope available. This cohort of students led instructors to conclude that the newest tools are not always better, but rather can complement traditional instruction methods. Anat Sci Educ 10: 328–338. © 2016 American Association of Anatomists.     

Investigative interviews of alleged sexual abuse victims with and without anatomical dolls

Verbal and nonverbal responses by alleged victims of child sexual abuse were coded for length, amount of information, and the manner in which they were elicited by the interviewer. In 16 of the interviews, anatomical dolls were employed for the purposes of demonstration, whereas they were not used in another eight cases matched with respect to other characteristics of the children and the alleged events. Children interviewed with dolls provided an equivalent number of details and spoke as many words in the substantive portion of the interview as did children interviewed without dolls, and interviewers in the two groups used similar probes to elicit information. However, the average responses by the children were significantly longer and more detailed when dolls were not used. Children gave longer and more detailed responses to open-ended invitations when dolls were not used. Caution is necessary when interpreting these findings.     

Predictors of Delinquent Behaviors Among Latino Youth

This study used an ecological framework to examine predictors of delinquent behaviors among 91 sixth-grade Latino youth. Both proximal and distal contextual factors were assessed to determine their impact on various forms of delinquency, such as violent behaviors, violent thoughts, substance abuse, and general delinquency (e.g., skipping school). Attitudes toward school, mobility (number of moves to new schools and neighborhoods), and exposure to community violence were distal variables, whereas attachment to parents and attachment to peers were considered more proximal variables. Environmental experiences or exposure to distressing community violence was the strongest predictor of delinquent outcomes. The results were discussed in terms of school officials' developing linkages with the community to promote safe environments for youth.     

The case for democratic governance in Canada's community colleges

Although the tradition of bicameral governance is well established in Canada's universities, in no province do community colleges operate under a similar principle. In fact, there is no statutory role for college faculty in governance, either through a senate or a senate-like body. This article argues the case for greater democracy in the governance of colleges and, in doing so, analyzes the role of college governance. The conclusion reached is that, while more democratic and participatory governance may be argued on conceptual grounds, it would also improve morale, trust, and communication within the college sector.     

Teaching about Cold Cases Experientially: Creating Meaningful Learning Experiences and Products

This paper discusses three separate educational projects which involved students working side-by-side with homicide investigators in an effort to conduct cold case investigations. Each project resulted in two different products, one for agency use and the other for public consumption. The cold case investigative reports produced for each case became part of the investigative file and are confidential documents. The video PSAs were for public consumption and were designed to provide additional exposure to the cases with the hope of generating productive tips. Each project was carried in collaboration with local Crime Stoppers programs, law enforcement agencies, and coroner’s offices.     

A partitioning technique for defining instructional groups

A technique is presented for partitioning N students into K groups of fixed sizes using a given measure of proximity for all student pairs. The measure of proximity is typically calculated from a set of variables, such as completed curriculum units or learning style, and constitutes the data needed for a criterion of partition fit. This latter index is explicitly defined by the sum of within-group proximities and when used in conjunction with the optimization procedure discussed, homogeneous groups can be obtained that satisfy externally imposed size requirements. Finally, a simple generalization is suggested for the related task of grouping students to meet upper limit size constraints only.     

Characteristics of gifted and talented children and problems of identification by teachers and parents

The ability to recognise the characteristics of giftedness and talentedness in children is a critical skill in the identification effort especially as the literature is replete with varying notions of what it means to be gifted and talented. The present paper reviews several definitions of giftedness and concludes that any definition that should guide identification activities must emphasise the multidimensional nature of the concept. The characteristics of gifted children are enumerated and stated in a manner that parents and teachers who have the earliest responsibilities in the identification process may have observable behavioural indices to inform referral. Finally, the paper identifies some of the practical issues in the identification of the gifted and talented.