Swimming Between: An examination of the Inherent Complexity within Social Justice

Classrooms tend to be absolute spaces, places where fluidity is rejected and nearly everything—from people, to ideas, to practices and policies—is viewed and organized through binary logic. Because binary logic is implicitly accepted as the natural order in schools and the structures resulting from it are highly unmalleable, individuals who differ from the norm are expected to assimilate and adapt so as not to disrupt the structure. Those who are too different from the norm to fit in or who refuse to accept the binary structure are viewed as problems and are often ostracized or blamed for disturbing the system. Even when evidence to dispute the binary logic emerges, such evidence is often ignored or rejected in favor of maintaining the status quo. As such, the need for educators with a social justice orientation is needed. The purpose of this qualitative study was to understand the process one teacher used to create inclusive spaces for students who identify with differences in order to develop a more critical understanding of the work of social justice teachers. The findings suggest the teacher enacted behaviors and maintained beliefs that contradicted her espoused social justice orientation and her classroom was at once both inclusive and exclusive. The findings illustrate the complexities inherent within the work of equity-oriented educators. Implications for educator preparation is discussed.     

Confronting prospective teachers' ideas of evolution and scientific inquiry using technology and inquiry‐based tasks

This study addresses the need for research in three areas: (1) teachers' understandings of scientific inquiry; (2) conceptual understandings of evolutionary processes; and (3) technology‐enhanced instruction using an inquiry approach. The purpose of this study was to determine in what ways The Galapagos Finches software–based materials created a context for learning and teaching about the nature of scientific knowledge and evolutionary concepts. The research used a design experiment in which researchers significantly modified a secondary science methods course. The multiple data sources included: audiotaped conversations of two focus pairs of participants as they interacted with the software; written pre‐ and posttests on concepts of natural selection of the 21 prospective teachers; written pre‐ and posttests on views of the nature of science; three e‐mail journal questions; and videotaped class discussions. Findings indicate that prospective teachers initially demonstrated alternative understandings of evolutionary concepts; there were uninformed understandings of the nature of scientific inquiry; there was little correlation between understandings and disciplines; and even the prospective teachers with research experience failed to understand the diverse methods used by scientists. Following the module there was evidence of enhanced understandings through metacognition, and the potential for interactive software to provide promising context for enhancing content understandings. © 2005 Wiley Periodicals, Inc.     

History of the Infinitely Small and the Infinitely Large in Calculus

The infinitely small and the infinitely large are essential in calculus. They have appeared throughout its history in various guises: infinitesimals, indivisibles, differentials, evanescent quantities, moments, infinitely large and infinitely small magnitudes, infinite sums, power series, limits, and hyperreal numbers. And they have been fundamental at both the technical and conceptual levels – as underlying tools of the subject and as its foundational underpinnings. We will consider examples of these aspects of the infinitely small and large as they unfolded in the history of calculus from the 17^th through the 20^th centuries. We will also present `didactic observations' at relevant places in the historical account. This revised version was published online in July 2006 with corrections to the Cover Date.     

Elementary student teachers' science content representations

This purpose of this study was to examine the ways in which three prospective teachers who had early opportunities to teach science would approach representing science content within the context of their student teaching experiences. The study is framed in the literature on pedagogical content knowledge and learning to teach. A situated perspective on cognition is applied to better understand the influence of context and the role of the cooperating teacher. The three participants were enrolled in an experimental teacher preparation program designed to enhance the teaching of science at the elementary level. Qualitative case study design guided the collection, organization, and analysis of data. Multiple forms of data associated with student teachers' content representations were collected, including audiotaped planning and reflection interviews, written lesson plans and reflections, and videotaped teaching experiences. Broad analysis categories were developed and refined around the subconstructs of content representation (i.e., knowledge of instructional strategies that promote learning and knowledge of students and their requirements for meaningful science learning). Findings suggest that when prospective teachers are provided with opportunities to apply and reflect substantively on their developing considerations for supporting children's science learning, they are able to maintain a subject matter emphasis. However, in the absence of such opportunities, student teachers abandon their subject matter emphasis, even when they have had extensive background and experiences addressing subject‐specific considerations for teaching and learning. © 2002 Wiley Periodicals, Inc. J Res Sci Teach 39: 443–463, 2002     

Flavor preferences conditioned with starch in rats

Rats were trained to associate artificial cherry or grape flavors with 1% starch suspensions. Conditioning was assessed by offering the rats a choice of the cherry versus grape flavors without starch. Conditioned preferences were moderately strong and persistent; 3 days of conditioning produced a preference that did not fully extinguish within 18 days. Food deprivation substantially increased intake of 1% starch suspension, However, the degree of preference conditioned was not influenced by the availability of food during the conditioning period; the rats that had been food deprived during training acquired as strong a preference as did those fed freely during training. The degree of preference obtained was similar in the rats given reinforcing and nonreinforcing fluids simultaneously or sequentially. Starch conditioned a slightly stronger preference than did the same concentration of glucose, even though these substances contain the same amount of calories. A statistically significant, but weak, preference was conditioned by 0.5%, but not by 0.25%, starch. It is proposed that the flavor of starch, independent of its calories, is reinforcing to rats.     

Discriminative control of interspecific killing in hungry and satiated rats

Hungry and satiated killer Long-Evans rats were exposed to two species of prey, mice and frogs. Experiment 1 demonstrated that the rats learned to discriminate between prey when attacks upon one of the prey were punished by electric shocks and attacks upon the alternative were not punished. Thus, killing of the “dangerous” prey was suppressed, while killing of the alternative, “safe” prey continued. However, in Experiment 2—in which the consequences of killing the prey differed in that one was allowed to be eaten following a kill but the other was not—no evidence of discriminative attack resulted. Hungry and satiated rats did not differ in their responsiveness toward prey as objects of attack, but hungry killers were more responsive to prey as food, thus demonstrating a dissociation of killing and eating control.     

Carbohydrate-induced stimulation of saccharin intake: Yoked controls

Dilute, intragastric infusions of carbohydrate stimulate saccharin intake. To determine whether this effect is due to an associative process, a yoked control was employed. One group of rats was trained in the conventional fashion: they received carbohydrate (maltodextrin) infusions whenever they drank saccharin. Whenever these rats were infused with carbohydrate, yoked rats were infused with the same amount of carbohydrate. In an experiment in which saccharin was available continuously, carbohydrate infusions stimulated saccharin intake in conventionally trained rats but not in yoked rats. In a subsequent experiment, in which rats were offered saccharin for only 2.5 h/day, carbohydrate infusions stimulated intake in conventionally trained and in yoked rats. However, when these rats were switched to continuous saccharin availability, saccharin intake declined in yoked rats but remained elevated in conventionally trained rats. Thus, carbohydrate infusions stimulate saccharin intake via an associative process.