Learning about the equal sign: Does comparing with inequality symbols help?

This study investigated whether instruction that involves comparing the equal sign with other relational symbols is more effective at imparting a relational interpretation of the equal sign than instruction about the equal sign alone. Third- and fourth-grade students in a comparing symbols group learned about the greater than, less than, and equal signs and had the opportunity to compare the inequality symbols with the equal sign. Students in an equal sign group learned about the equal sign only. A third group of students served as a control group. Three aspects of students’ knowledge were assessed before and after the lesson: (a) conceptual understanding of the equal sign, (b) equation encoding, and (c) problem solving. Students in the comparing symbols group showed greater gains in conceptual understanding from pretest to posttest than students in the other two groups, and students in the comparing symbols group also scored higher on a posttest that assessed knowledge about inequality symbols and inequality problem solving. Thus, they learned about three symbols in the same amount of time as other students learned about the equal sign alone or not at all. Therefore, an instructional approach involving comparison can be an effective tool for learning about concepts in mathematics.     

Secondary generalization and categorization in pigeons

In Experiment 1, one group of pigeons learned to classify a set of stimuli into the human language classes cat, flower, car, and chair (categorization); another group learned to classify the same set into arbitrary classes (pseudocategorization). Then, both groups were trained on a new categorization task and their performance compared to that of a control group that had no initial classification training. Hull's (1943) notion of secondary generalization (generalization that is not based on physical similarity but on mediating associations) predicts that categorization experience will facilitate the learning of a new categorization task, whereas pseudocategorization experience will impair it. However, in Experiment 1, performance on the new categorization task was not differently affected by prior experience. In Experiment 2, pigeons initially trained to classify a set of 48 stimuli (original training) were later trained to classify a subset of four of these stimuli using new responses (reassignment training). Then, they were tested on the 44 remaining stimuli. Performance better accorded with original than with reassignment training, indicating that categorization training did not lead to the formation of equivalence classes of stimuli, in which the equivalence relationship is mediated by secondary generalization. The lack of evidence of secondary generalization implies that our pigeons failed to meet Lea's (1984) criterion for conceptual behavior.     

Recombinative reading derived from pseudoword instruction in a miniature linguistic system

A miniature linguistic system was used to study acquisition of recombinative symbolic behavior. Three studies evaluated the teaching conditions of conditional discriminations with printed and spoken pseudowords that could potentially generate recombinative reading. Fifty-four college students across all studies learned to match 12 printed pseudowords to 12 spoken pseudowords. Some also matched pictures to the same spoken words. Each two-syllable pseudoword was formed by symbols from an arbitrarily created alphabet composed of four vowels and four consonants. Letters had univocal correspondence with phonemes. Recombinative receptive reading, comprehensive reading, and textual responding to pseudowords were periodically assessed. Experiment 1 (n = 20) showed that recombinative reading increased as the number of trained words composed of the same symbols increased. Experiment 2 (n = 14) showed that overtraining the same two words did not produce recombinative reading for most participants. Experiment 3 (n = 20), in which training with pictures was omitted, showed that elemental control by within-syllable units can develop even when the trained pseudowords are meaningless (not related to pictures). The present results support the utility of the miniature linguistic system methodology for identifying and controlling environmental determinants of rudimentary reading skills.     

Learning a spatial skill for surgery: how the contributions of abilities change with practice

We examined changes in performance as people learned to use an angled laparoscope, a challenging spatial skill that must be mastered by surgeons who perform minimally invasive techniques. In Experiment 1, novices took tests of spatial and general reasoning ability, and then learned to operate an angled laparoscope, simulated in a virtual environment, over 12 learning sessions. Initial performance showed considerable variability among learners, with performance related to general and spatial abilities. As learning progressed, interindividual variability diminished and all learners attained proficiency; the correlation with general ability diminished but the correlation with spatial ability remained significant. In Experiment 2, performance by highly experienced surgeons on the simulation was excellent from the first session, confirming its ecological validity. The findings contribute to theories of skill acquisition. They also have practical implications for the selection of surgeons and for the potential use of virtual environments in surgical training. Copyright © 2006 John Wiley & Sons, Ltd.     

Selective learning enabled by intention to learn in sequence learning

This study investigated whether a target sequence that people intend to learn is learned selectively when it is interleaved with another (non-target) sequence. Three experiments used a serial reaction time task in which different spatial and color stimuli occurred alternately. Each of the two interleaved sequences had structural regularity. Participants in an intentional learning group were instructed to learn the target (spatial) sequence whereas those in an incidental learning group were not. In Experiments 1 and 2 spatial and color sequences were correlated. Results showed that the intentional group learned the spatial sequence better than the incidental group and learned it independently of the color sequence, whereas the incidental group learned the two sequences as a combined sequence. In Experiment 3 the sequences were uncorrelated. Results showed that the intentional group was no longer superior in learning the spatial sequence. Findings indicate that the intention to learn a target sequence enables selective learning of it only when it is correlated with a non-target sequence.     

Word-processing training and retraining: effects of adult age, experience, and interface

Novice (Experiment 1) and experienced (Experiment 2) young, middle-aged, and older adults learned a new word-processing application in keystrokes, menus, or menus-plus-icons interface conditions. Novices showed strong age differences in the time to complete the 3-day tutorial and in declarative and procedural tests of word-processing knowledge. Menus and menus-plus-icons were superior to keystrokes condition. though interface did not interact with age. Experienced users showed age-related slowing in learning rate but minimal age differences in test performance when retrained on a new word-processing program. Age and computer experience accounted for much of the variance in both learning time and word-processing performance; interface type, speed of processing, and spatial generation ability made additional contributions. Experience interacted with age to predict performance. Implications for training and retraining older workers are discussed.     

TRANSITIVE INFERENCE IN RATS:

Abstract— Rats were trained to discriminate between boxes covered with distinctive odors There were six stimulus odors, labeled A through F, and the problems learned formed the five premises A+B−, B+C−, C+D−, D+E−, and E+F− Combming the premises, the relative values of the stimuli were A>B>C>D>E>F In two experiments, linear arrangement groups learned these premises with Boxes A through F placed in a linear spatial sequence Nonlinear groups had boxes either randomly changed from one position to another (Experiment 1) or placed m a circular arrangement (Experiment 2) Tests of transitive inference between the B and D stimuli were carried out in an environment different from that m which premise training took place Only the groups trained with a linear arrangement of boxes showed evidence of transitive inference These findings offer support for a spatial coding hypothesis of transitive inference in animals     

The role of stimulus-based and response-based spatial information in sequence learning

In 4 experiments, relational structures were independently varied in stimulus and response sequences in a serial reaction time task. Moreover, the use of spatial and symbolic stimuli and responses was varied between experiments. In Experiment 1, spatial stimuli (asterisk locations) triggered spatial responses (keystrokes); in Experiment 2, spatial stimuli triggered symbolic responses (verbal digit naming); in Experiment 3, symbolic stimuli (digits) triggered keystrokes; and in Experiment 4, digits triggered verbal responses. The results showed that there is a remarkably stronger effect of relational structures in spatial sequences than in symbolic sequences, irrespective of whether stimulus or response sequences are concerned. This suggests that learning is particularly effective for sequences of spatial locations. It is argued that spatial learning is a critical determinant for the debate on perceptual and motor learning.     

Improving conditional discrimination learning and memory in five-year-old children: Differential outcomes effect using different types of reinforcement

Previous studies have demonstrated that discriminative learning is facilitated when a particular outcome is associated with each relation to be learned. When this training procedure is applied (the differential outcomes procedure; DOP), learning is faster and better than when the typical common outcomes procedure or nondifferential outcomes (NDO) is used. Our primary purpose in the two experiments reported here was to assess the potential advantage of DOP in 5-year-old children using three different strategies of reinforcement in which (a) children received a reinforcer following a correct choice (“ + ”), (b) children lost a reinforcer following an incorrect choice (“ ? ”), or (c) children received a reinforcer following a correct choice and lost one following an incorrect choice (“ + / ? ”). In Experiment 1, we evaluated the effects of the presence of DOP and different types of reinforcement on learning and memory of a symbolic delayed matching-to-sample task using secondary and primary reinforcers. Experiment 2 was similar to the previous one except that only primary reinforcers were used. The results from these experiments indicated that, in general, children learned the task faster and showed higher performance and persistence of learning whenever differential outcomes were arranged independent of whether it was differential gain, loss, or combinations. A novel finding was that they performed the task better when they lost a reinforcer following an incorrect choice (type of training “ ? ”) in both experiments. A further novel finding was that the advantage of the DOP over the nondifferential outcomes training increased in a retention test.     

Massed trial Overtraining Effects on Extinction and Reversal Performance in Turtles (Geoclemys reevesii)

Two experiments with turtles (Geoclemys reevesii) examined the overtraining extinction effect (OEE) and the overtraining reversal effect (ORE), under massed training conditions. In Experiment 1, three groups of turtles received 7, 14, or 21 sessions of training in a runway situation for food reinforcement, followed by 15 sessions of extinction. Extinction was faster, the greater the number of acquisition sessions. In Experiment 2, the two groups of turtles learned a spatial discrimination for food reinforcement either to a criterion (19 of 20 correct responses), or to that criterion plus 100 additional trials of overtraining. When the validity of the positions was reversed, learning was faster for the overtrained group than for the group trained to a criterion. This evidence of the OEE and the ORE is the first yet reported for a reptile. The results are discussed in the framework of comparative research on rewardschedule effects.     

Improving the measurement of spatial aptitude by dynamic testing

Can spatial aptitude scores be increased by test-related training? Is construct validity influenced? The traditional psychometric view of test-related training as coaching, which threatens test validity, contrasts sharply with the view that performance modifiability measures a theoretically important construct that increases test validity (e.g., Vygotsky, 1978). This article reports on three studies of the dynamic testing of spatial ability in which training on the physical analogue of the mental folding task intervenes between a pretest and a posttest. Experiment 1 found that spatial ability can be significantly and substantially increased. Experiment 2 examined the impact of the dynamic testing procedure on the relationship of ability scores to other measures. Although sex differences in spatial ability were unchanged, the dynamic testing procedure increased predictive validity for training in text editing. Experiment 3 examined the impact on construct representation. The mathematical models of task difficulty indicated that the posttest more clearly represented rotational processing while the psychometric models supported the measurement of two abilities (i.e., initial status and gain). The implications for measuring learning ability by dynamic testing are discussed.     

Allocentric spatial learning by hippocampectomised rats: A further test of the “spatial mapping” and “working memory” theories of hippocampal function

This paper reports a series of three experiments that tested the “spatial-mapping” and “working-memory” theories of hippocampal function. The experimental designs incorporate separate reference- and working-memory procedures of a water-escape task, using both spatial and non-spatial learning. In Experiment 1 (Reference memory), rats with hippocampal (HC) or cortical (CC) lesions and unoperated (UNOP) rats learned to swim to a rigid visible escape platform while avoiding contact with a floating one. In the nonspatial task, the platforms each occupied any of 8 possible positions in the pool over successive trials but differed in appearance. In the spatial task, the platforms were of identical appearance but the safe one always occupied a single fixed location. The HC rats showed a highly specific spatial learning impairment but did learn to perform consistently above chance towards the end of training. In Experiment 2 (working memory), new groups of rats were trained on similar spatial and nonspatial tasks, but the platform designated correct-in terms of its visual appearance or its spatial location-was randomly changed each day. No animal learned the nonspatial task despite extensive training. Performance on the spatial version unexpectedly revealed an impairment in the CC as well as the HC group relative to the UNOP rats. However, the HCs again performed at above chance levels and demonstrated rapid (I-trial) spatial learning towards the end training. Experiment 3 used a place navigation matching-to-sample task examine spatial working memory further. Each day, an underwater platform was hidden at any of 4 possible locations, and the rats were given 2 trials to search for it. Both UNOP and CC rats located the platform faster on Trial 2 than on Trial 1, even when the inter-trial interval was long as 30min. HC rats were no faster on Trial 2 than on Trial 1. We conclude that hippocampal lesions (1) severely but partially impair spatial but not visual reference memory and (2) give rise to different patterns impairment in different working-mermory tasks. The results are a chal lenge to both the spatial-mapping and working-memory theories.     

Strategy Use in Reasoning Training With Older Adults

The relationship between strategy use and cognitive training gains on reasoning ability is examined in a sample of 393 older participants in the Seattle Longitudinal Training Study. Pre- and posttest gains on the use of strategies specific to reasoning ability were compared for the elderly trained on reasoning versus spatial orientation ability. The present study involves an objective behavioral method of measuring strategy use on tests of inductive reasoning. Results showed that participants trained on reasoning significantly increased strategy use from pre- to posttest on two reasoning outcome measures compared to participants trained on spatial orientation. Higher strategy use by inductive reasoning trainees was also associated with greater training gain on reasoning outcome measures, suggesting strategy use as a possible mechanism of training gain. In addition, young–old participants and those with higher education, irrespective of training condition, exhibited greater pre- to posttest gain in strategy use.     

Emergent identity matching after successive matching training, I: reflexivity or generalized identity

This research investigated the source of an ostensible reflexivity effect in pigeons reported by Sweeney and Urcuioli (2010). In Experiment 1, pigeons learned two symmetrically reinforced symbolic successive matching tasks (hue-form and form-hue) using red-green and triangle-horizontal line stimuli. They differed in their third concurrently trained baseline task: form-form matching with stimuli appearing in the symbolic tasks (triangle and horizontal) for one group versus hue-hue matching with stimuli not appearing in the symbolic tasks (blue and white) for the other. During subsequent nonreinforced probe tests, all pigeons in the former group and most pigeons in the latter group responded more to the comparisons on matching than on nonmatching red-green probes. In Experiment 2, the latter group was tested on nonreinforced form-form probes. One of the 4 pigeons responded significantly more to the comparisons on matching than on nonmatching triangle-horizontal probes. These data are consistent with generalized identity and at least one other interpretation of the reflexivity results and question the functional stimulus assumption of Urcuioli's (2008) stimulus-class theory.     

The effect of negative performance stereotypes on learning

Stereotype threat (ST) research has focused exclusively on how negative group stereotypes reduce performance. The present work examines if pejorative stereotypes about women in math inhibit their ability to learn the mathematical rules and operations necessary to solve math problems. In Experiment 1, women experiencing ST had difficulty encoding math-related information into memory and, therefore, learned fewer mathematical rules and showed poorer math performance than did controls. In Experiment 2, women experiencing ST while learning modular arithmetic (MA) performed more poorly than did controls on easy MA problems; this effect was due to reduced learning of the mathematical operations underlying MA. In Experiment 3, ST reduced women's, but not men's, ability to learn abstract mathematical rules and to transfer these rules to a second, isomorphic task. This work provides the first evidence that negative stereotypes about women in math reduce their level of mathematical learning and demonstrates that reduced learning due to stereotype threat can lead to poorer performance in negatively stereotyped domains.     

Stimulus control topographies and tests of symmetry in pigeons

Pigeons were tested for symmetry after A-B training under conditions designed to avoid problems that may prevent its emergence, namely the change of stimulus location in testing relative to training and the lack of requisite discrimination training. In Experiment 1, samples appeared in two locations during baseline training to minimize the impact of stimulus location. Experiments 2 and 3 included multiple-location training along with additional identity and symbolic matching training, respectively, to explicitly train all of the simultaneous and successive stimulus discriminations required for testing. Experiment 4 provided reinforcement for symmetrical matching relations with some stimulus sets (with multiple-location training) prior to symmetry testing with different sets. In all experiments, pigeons showed no evidence of symmetry despite the fact that baseline (A-B) matching transferred to novel locations. Additional tests for reflexivity (Experiment 2) yielded similar outcomes. These results indicate that the change in stimulus location is not the sole reason that pigeons do not show symmetry and increase the plausibility of arguments that symmetry and other indexes of stimulus equivalence may be beyond the capabilities of the pigeon.     

Transfer of pigeons' matching to sample to novel sample locations

This study examined the conditions under which conditional stimulus control by the sample stimuli in three-key matching-to-sample paradigms would generalize across the different possible sample locations. In Experiments 1 and 2, the samples appeared on the left and right side keys during initial training and then on the center key during testing. Transfer of pigeons' matching performances to the center-key samples was evident after both identity and symbolic matching training. In Experiment 3, pigeons trained on symbolic matching with two side-key samples or with a side-key and a center-key sample generally transferred their learned matching performances to those samples when they subsequently appeared in the remaining (novel) location. These results indicate that, when two-choice conditional discriminations are learned with more than one sample location, the visual characteristics of the sample per se predominantly come to control the pigeons' comparison choices. This finding encourages the use of the multiple-location training procedure as a way of reducing control by location, thus providing a more discriminating test of symmetry in animals.     

Learning With Real Machines or Diagrams: Application of Knowledge to Real-World Problems

In this study, we investigated how learning from different media, either from real pulley systems or from simple line diagrams, affected mechanical learning and problem solving. Novice subjects learned about pulley systems by comparing the efficiency of different systems and receiving feedback on their accuracy. The main outcome measures were subjects' ability to compare pulley system efficiency, their level of mechanical reasoning, and their ability to apply knowledge of system efficiency and construction details. Experiment 1 showed that (a) subjects learning with the two types of media made equal improvement on the learning task, and (b) all subjects showed an increase in quantitative understanding as they learned, but (c) subjects who learned hands-on, by manipulating real pulley systems, solved application problems more accurately than those who learned from diagrams. Experiment 2 showed that both the realism of the stimuli and the opportunity to manipulate systems contributed to the improved performance on application problems.     

Training sequence effects on emergent conditional discriminations: Replication and extension to selection-based training

We examined the replicability and generality of a previously reported training sequence effect on emergent conditional discriminations in the intraverbal naming task. In Experiment 1, a tact–intraverbal (TI) group learned first to vocally label 6 visual patterns and then to intraverbally relate pairs of verbal labels, whereas an intraverbal–tact (IT) group received the same training in the opposite sequence. Emergent conditional discriminations among pattern stimuli were assessed in match-to-sample (MTS) format. Experiment 2 was identical, except vocal tact and intraverbal training were replaced with selection-based training in which the verbal labels were text stimuli. Compared to the IT sequence, the TI sequence resulted in greater mean accuracy at test (Experiment 1), higher yields (Experiment 2), and shorter reaction times (Experiment 2). Experiment 2 data suggested the TI group's performance might be less dependent on intact intraverbal relations relative to the IT group, but related to participants' reports of visualization during intraverbal training. The results suggest the sequence effect is replicable and occurs in experimental preparations commonly used to study derived stimulus relations. They also provide novel support for the hypothesis that participant behavior during training alters sources of stimulus control available at test.     

Spatial learning in the rat: impairment induced by the thiol-proteinase inhibitor, leupeptin, and an analysis of [3H]glutamate receptor binding in relation to learning

Rats were given continuous intraventricular infusion of saline or the thiol-proteinase inhibitor leupeptin, via subcutaneously implanted osmotic minipumps, while being trained on a spatial learning water task using spaced trials. Leupeptin caused overnight forgetting during training, but performance eventually reached asymptote in both groups. A retention test conducted 48 h later to assess spatial memory revealed no significant group differences, but did cause, in saline-treated rats only, a disruption of subsequent retraining back to the correct spatial location. The groups showed no differences in Cl-dependent [3H]glutamate receptor binding to hippocampal or entorhinal cortex membranes subsequent to training. In a second experiment, normal rats trained on the same task also showed no differences in Cl-dependent [3H]glutamate binding relative to rats exposed to the water task but given random spatial position training and handled controls. The results are discussed in relation to the hypothesis of Lynch and Baudry (Science (1984) 224, 1057-1063) that a calcium-dependent thiol proteinase is involved in memory formation through its ability to modify glutamate receptor distribution and dendritic spine shape.