Avoiding misinterpretations of Piaget and Vygotsky: Mathematical teaching without learning,learning without teaching,or helpful learning-path teaching?

This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be having special difficulties in learning mathematics. A major goal of the article is to develop a framework for understanding what effective mathematics teaching and learning is, because doing so is so important for struggling students and for research about them. Piaget's research had a fundamental influence on the on-going tension between understanding and fluency in the classroom, supporting efforts toward increasing understanding. But in some countries, misinterpretations of Piaget led to practices that are counterproductive for children, especially struggling learners. Such misinterpretations are identified and a more balanced approach that also draws on Vygotsky is described—a learning-path developmentally-appropriate learning/teaching approach.     

“Being tied to experience”: towards a subjective account of the phenomenology of the event

Continental Philosophy Review - In this text, Heidegger's notion of the event is understood as a rupture on an ontological level. From this follows the aporia of whether the event concerns the...     

The transcendental dimension of “praxis” in Husserl's phenomenology

This paper is a revised and reformed version of Husserl-genshogaku to jissen no mondai (Husserl's phenomenology and the problem of praxis) in: The Japanese Society for Ethics ed., Rinrigaku-nenpo (Annals of Ethics) No. 35 (Tokyo: Keiotsushin, 1986), pp. 105–121. It is my duty to express my gratitude to Mrs. Yu Tani for her advices about English and stylization.     

Birds of a “bad” feather flock together: The Dark Triad and mate choice

Previous research on the Dark Triad traits (i.e., Machiavellianism, psychopathy, and narcissism) has focused solely on the role the Dark Triad traits played in mate choice of actors. The current study (N = 336) extends this by manipulating the apparent levels of Dark Triad traits in targets and correlating mate choice in these targets with individual differences in the Dark Triad traits in actors. As expected, both sexes preferred partners low in the Dark Triad traits for long-term mating, while those high in these traits were preferred for one-night stands. However, women high in psychopathy considered the Dark Triad traits in potential male partners more physically attractive and desirable for an one-night stand, as well as a potential husband. Men who were high on psychopathy were likewise attracted to psychopathy in potential mothers. Our findings are discussed from an evolutionary personality paradigm.     

Evaluating teaching and students’ learning of academic research ethics

A team of philosophers and scientists at Dartmouth College worked for three years to create, train faculty and pilot test an adequate and exportable class in research methods for graduate students of science and engineering. Developing and testing methods for evaluating students’ progress in learning research ethics were part of the project goals. Failure of methods tried in the first year led to the refinement of methods for the second year. These were used successfully in the pilot course and in one university setting external to Dartmouth. The process of development and justification for the final methods are discussed here.     

The “pure-study” learning curve: The learning curve without cumulative testing

The customary assumption in the study of human learning using alternating study and test trials is that learning occurs during study trials and that test trials are useful only to measure learning. In fact, tests seem to play little role in the development of learning, because the learning curve is similar even when the number of test trials varies widely (Tulving, Journal of Verbal Learning and Verbal Behavior 6:175-184, 1967). However, this outcome seems odd, because other research has shown that testing fosters greater long-term learning than does studying. We report three experiments addressing whether tests affect the shape of the learning curve. In two of the experiments, we examined this issue by varying the number of spaced study trials in a sequence and examining performance on only a single test trial at the end of the series (a "pure-study" learning curve). We compared these pure-study learning curves to standard learning curves and found that the standard curves increase more rapidly and reach a higher level in both free recall (Exp. 1) and paired-associate learning (Exp. 2). In Experiment 3, we provided additional study trials in the "pure-study" condition to determine whether the standard (study-test) condition would prove superior to a study-study condition. The standard condition still produced better retention on both immediate and delayed tests. Our experiments show that test trials play an important role in the development of learning using both free-recall (Exps. 1 and 3) and paired-associate (Exp. 2) procedures. Theories of learning have emphasized processes that occur during study, but our results show that processes engaged during tests are also critical.     

Cognitive costs of encoding novel natural activities: Can “learning by doing” be distracting and deceptive?

Findings from action memory research suggest that the enactment of simple actions and naturalistic activities results in similar memory performance to that from their observation. However, little is known about potential differences between the conditions during the encoding of the to-be-studied actions and activities. We analysed the cognitive costs of encoding two novel naturalistic activities studied via enactment or via observation in four experiments. In addition to memory performance, we measured objective cognitive costs with a secondary task and subjective cognitive costs with repeated ratings of mental effort and estimates of general activity difficulty. Memory performance was comparable across study conditions throughout all experiments. The enactment of activities repeatedly resulted in slower reaction times in the secondary task than did observation, suggesting higher objective costs. In contrast, subjective costs were rated lower after enactment than after observation. Findings from a pantomimic enactment condition suggested that the low ratings of subjective costs after enactment represent a misinterpretation of task demands. Our findings imply that the widespread belief about “learning by doing” as an easy way of learning does not stem from an actual advantage in memory performance, but rather from continuous feedback about one's performance resulting from enactment.     

Novice teachers’ experience of teaching: a dynamic aspect of burnout

This article addresses the question of how novice teachers perceive their work environment and how their perceptions affect burnout. Data were obtained from a questionnaire administered to novice teachers at the beginning and at the end of the school year. It was found that (1) novice teachers experienced high levels of burnout as early as the beginning of their first year of teaching; (2) novice teachers’ perception of their work environment at the beginning and at the end of their first year significantly and meaningfully explained their sense burnout; (3) three variables contribute to predicting burnout at the beginning and at the end of the first year of teaching: (a) lack of appreciation and professional recognition from students; (b) lack of appreciation and professional recognition from the public, and (c) lack of collaborative and supportive ambience.     

Recollection and phantasy: The problem of the truth of memory in Husserl’s phenomenology

The epistemological problem of the truth of memory cannot be resolved without establishing a clear distinction between recollection and phantasy. Husserl’s position in this regard is both paradoxical and compelling. It is paradoxical because Husserl repeats his antiskeptical intention many times; but nevertheless in his phenomenology, recollection and phantasy are almost completely identical. Perhaps no philosopher has so radically approached the experience of remembering and the experience of fantasizing as Husserl. But at the same time, the recognition of this fundamental similarity is precisely what allows the phenomenologist to avoid empiricist misunderstandings and thus approach the problem of the distinction between recollection and phantasy in a much more persuasive way than the traditional one. In this paper, I will first try to show how and why Husserl approaches recollection and phantasy. Then I will try to show how it is possible to establish a clear distinction between these two phenomena without misunderstanding the possibility of false memory.     

Can learning about the Holocaust be spiritual? Reflections on a teaching and learning experience with Primary School children.

In April 2017, I spent a week in Poland researching the Holocaust in Europe. Most notably, I visited the Auschwitz and Birkenau concentration camps. Following the visit, I facilitated three History lessons with 10- and 11-year-old children on the role of Auschwitz in the Second World War. As the sessions unfolded, the spiritual themes of meaning, identity and remembering emerged from the children’s responses; therefore, this article forms a reflection on how the lessons impacted the children’s spiritual lives. It also considers how the History curriculum might include a critical dimension to pedagogy. In particular, it explores how issues such as theology, morality and the role of representation open up a space for critical questioning. I suggest that such questioning is also spiritual. Thus, the self-awareness and criticality inspired might contribute to transformation – of both the teachers and learners and the world around them.     

Students’ knowledge about the value of discussions for teaching and learning

We are particularly interested in looking at teaching and learning from students perspectives. Focussed interviews and written responses from a number of linked investigations with middle-school and tertiary students highlighted that students perceive discussion to be a valuable teaching -- learning technique. This paper provides text extracts, organised into six key themes, to illustrate students understandings about how discussion helps them to learn. We conclude that, across the whole participant group, knowledge about the various potentials of discussion for learning is wide ranging. However, at the individual level, some students perspectives appear limited. We propose that specific attention to enhancing students pedagogical knowledge about techniques such as discussion should accompany subject matter instruction.     

Errorful and errorless learning: The impact of cue–target constraint in learning from errors

The benefits of testing on learning are well described, and attention has recently turned to what happens when errors are elicited during learning: Is testing nonetheless beneficial, or can errors hinder learning? Whilst recent findings have indicated that tests boost learning even if errors are made on every trial, other reports, emphasizing the benefits of errorless learning, have indicated that errors lead to poorer later memory performance. The possibility that this discrepancy is a function of the materials that must be learned—in particular, the relationship between the cues and targets—was addressed here. Cued recall after either a study-only errorless condition or an errorful learning condition was contrasted across cue–target associations, for which the extent to which the target was constrained by the cue was either high or low. Experiment 1 showed that whereas errorful learning led to greater recall for low-constraint stimuli, it led to a significant decrease in recall for high-constraint stimuli. This interaction is thought to reflect the extent to which retrieval is constrained by the cue–target association, as well as by the presence of preexisting semantic associations. The advantage of errorful retrieval for low-constraint stimuli was replicated in Experiment 2, and the interaction with stimulus type was replicated in Experiment 3, even when guesses were randomly designated as being either correct or incorrect. This pattern provides support for inferences derived from reports in which participants made errors on all learning trials, whilst highlighting the impact of material characteristics on the benefits and disadvantages that accrue from errorful learning in episodic memory.     

Rhetoric and “doing philosophy”

By drawing new distinctions labelled appeal and response to replace traditional rhetorical modes of written discourse, the essay sketches a new perspective about what philosophers are doing rhetorically in doing philosophy. To think of philosophers as simply engaged in argument is an oversimplification and a distortion of what philosophers do. Crucial to doing philosophy are four activities: (1) definition and redefinition of problems and issues that form both the focus of the canonical historical literature of philosophy and what goes on in contemporary philosophy as a discipline, (2) the development and use of formal languages and technical vocabularies to abbreviate and label complexity and to disambiguate and precise distinctions necessary to deal with problems and issues, (3) the development and exploration of argumentative appeals for acceptance or refutation of answers to questions raised by the philosophical problematic, and (4) the development and exploration of explanatory responses to questions raised by the problematic. In so far as these four activities are driven and sanctioned by the current, self-defining philosophical problematic, contemporary philosophy as a body of knowledge is historical, cumulative, and marked by progress, and the doing of philosophy is fundamentally the making of written appeals and responses about its problematic.