The influence of instructional intervention on children's understanding of fractions

An experimental instructional program based mainly on an equal-whole schema in fractions was given to two fourth-grade classes of a Japanese elementary school. As a control, conventional teaching based on a traditional Japanese textbook was given to another fourth-grade class. The study tested the hypothesis that students given the experimental program would understand order and magnitude as central characteristics of fractions better than those who were instructed using the traditional textbook. Students in the experimental group showed better understanding of both the order of fractions and the representation of the sizes of fractions than did the textbook group. However, there were no differences between the experimental and textbook groups in the performance of assessment tasks which were less related to the equal-whole schema. These results are discussed in view of the important instructional aim of having students understand fractions.     

Ecobehavioral analysis in the classroom: Review and implications

A rapidly developing area within applied behavior analysis that has implications for classroom instruction and behavior management is ecobehavioral analysis. Ecobehavioral analysis adds to behavior analysis the assessment of situational or contextual factors, such as classroom physical arrangements, instructional materials used by students, and teacher's behavior. Its eventual importance and contribution to behavior analysis and to education, however, has yet to be realized. In fact, it is difficult to find adequate accounts of exactly what ecobehavioral analysis entails (Morris & Midgley, 1990). To date, it has led to a number of interesting contributions. These include the development and validation of specific classroom instructional procedures, the development of a number of approaches to the reduction of challenging behaviors, an improved understanding of the components of effective instruction including the identification of instructional risk factors within regular and special education, as well as providing a better understanding of how the quality of implementation functions as a mediating variable for student outcomes. In this paper, we discuss the theory and principles that support ecobehavioral analysis, review research literature concerning its use in educational settings, describe emerging applications by school personnel (e.g., teachers, school psychologists), and examine a number of future research directions and their implications.     

CONSTRUCTED-RESPONSE MATCHING TO SAMPLE AND SPELLING INSTRUCTION

The development of interactive programmed instruction using a microcomputer as a teaching machine is described. The program applied a constructed-response matching-to-sample procedure to computer-assisted spelling instruction and review. On each trial, subjects were presented with a sample stimulus and a choice pool consisting of 10 individual letters. In initial training, sample stimuli were arrays of letters, and subjects were taught to construct identical arrays by touching the matching letters in the choice pool. After generalized constructed-response identity matching was established, pictures (line drawings) of common objects were presented as samples. At first, correct spelling was prompted by also presenting the printed name to be “copied” via identity matching; then the prompts were faded out. The program was implemented with 2 mentally retarded individuals. Assessment trials determined appropriate words for training. Correct spelling was established via the prompt-fading procedure; training trials were interspersed among baseline trials that reviewed and maintained spelling of previously learned words. As new words were learned, they were added to a cumulative baseline to generate an individualized review and practice battery for each subject.     

Altering student responses through changes in teacher verbal behavior

Two experiments were conducted in a junior-high special-education class of eight pupils in an inner-city school. In the first experiment, the teacher doubled the number of words used by the pupils in answering questions by altering the type of questions asked. In the second experiment, the number of words used by students and the percentage of answers given in complete sentences, increased from less than 5% to approximately 90% when the teacher instructed the pupils to answer in complete sentences and asked another pupil to answer using a sentence if the first one did not do so. In both experiments, a brief return to baseline conditions brought a return to low levels of verbal responding. An analysis of which pupils were called on by the teacher, teacher praise, and in the second experiment the types of questions asked, indicated that these variables were not responsible for the increases in verbal responding.     

Reinforcement probability and ordinal position of response in fixed-interval schedules

Four rats pressed levers and received food pellets under fixed-interval reinforcement schedules of 20, 60, and 180 seconds. The number of responses in each interval was recorded. From these data, the probability of reinforcement was determined as a function of response count. These functions were generally increasing. This finding is consistent with previous suggestions that increasing response rates within fixed intervals may be a function of response count in addition to or instead of elapsed or remaining time.     

Escape from serial stimuli leading to food

If the functional relations governing the strength of a conditioned reinforcer correspond to those obtained with other Pavlovian procedures (e.g., Kaplan, 1984), the termination of stimuli appearing early in the interval between successive food deliveries should be reinforcing. During initial training we presented four key colors, followed by food, in a recurrent sequence to each of 6 pigeons. This established a baseline level of autoshaped pecking. In later sessions, we terminated each of these colors or only the first color for a brief period following each peck, replacing the original color with a standard substitute to avoid darkening the key. Pecking decreased in the presence of the last color in the sequence but increased in the presence of the first. In accord with contemporary models of Pavlovian conditioning, these and other data suggest that the behavioral effects of stimuli in a chain may be better understood in terms of what each stimulus predicts, as measured by relative time to the terminal reinforcer, than in the exclusively positive terms of the traditional formulation (Skinner, 1938). The same model may also account for the initial pause under fixed-interval and fixed-ratio schedules of reinforcement.     

Does calling it “Morgan's way” reduce student learning? Evaluating the effect of person-presentation during comparison and discussion of worked examples in mathematics classrooms

Mathematics textbooks sometimes present worked examples as being generated by particular fictitious students (i.e., person-presentation). However, there are indicators that person-presentation of worked examples may harm generalization of the presented strategies to new problems. In the context of comparing and discussing worked examples during extended classroom instruction, the current study compared the impact of person-presentation to strategy labels on students' posttest accuracy and ratings of strategy generalizability. Five algebra teachers and their 168 students used worked examples either presented using fictitious students or with a strategy label during a multiweek unit on equation solving, with teachers randomly assigned to condition. All students compared and discussed the worked examples. In this context, we found no effect of condition on student accuracy at posttest, nor on their ratings of the generalizability of the presented strategies. We discuss why previously found negative effects of person-presentation may not have extended to this context.     

Teaching chained skills in a non-school setting using a divided half instructional format

This investigation evaluated the use of dyadic instructional arrangements in teaching chained skills to four students with moderate mental retardation. Each instructional dyad consisted of two students. Each of the three cooking skills was divided into two equal parts, and each student in a dyad received direct instruction on one part of the task analysis during each instructional session. During the following session, the two parts were reversed and a student received instruction on the second part. A constant time delay procedure was used to teach the targeted skills in an off-campus setting. A multiple probe design across skills and replicated across students evaluated the effectiveness of the instructional procedure and teaching arrangement. Results indicate that each of the four students learned the three cooking skills. Implications for future research are discussed.     

Eliciting false memories on implicit and explicit memory tests after incidental learning

Abstract: In a false memory experiment, lists of semantic associates (e.g., newspaper, letter, book, etc.) were presented to three groups of participants to induce false memories for critical nonpresented (CN) words (e.g., read) in an incidental learning task. The control group simply estimated the frequency rate in everyday Japanese discourse of each word on a list. The imagery instruction group received an additional instruction to imagine a thematically related converging word from the target words on a list. Participants in the imagery plus writing group received the same instructions as those in the imagery instruction group, but were also required to write down the word they imagined for each list. The results from the implicit and explicit memory tests given after the incidental learning episode showed that the level of priming for CN words was equivalent to that for actually presented target words for all three groups on the implicit test, whereas explicit memory results showed that participants explicitly recognized more target words than CN words. The implications for implicit associative response and fuzzy‐trace theories of false memory, as well as implicit priming, are discussed.