Math anxiety: who has it, why it develops, and how to guard against it

Basic math skills are important for success in school and everyday life. Yet many people experience apprehension and fear when dealing with numerical information, termed math anxiety. Recently, researchers have started to probe the antecedents of math anxiety, revealing some surprising insights into its onset, risk factors, and remediation.     

Getting it Right

In addition to noting significant differences of interpretation between me and Kristopher Norris on understanding classic just war thought and judging its importance, this Comment flags errors of fact and faulty logic in the Norris essay.     

Getting it right

Truth monism is the idea that only true beliefs are of fundamental epistemic value. The present paper considers three objections to truth monism, and argues that, while the truth monist has plausible responses to the first two objections, the third objection suggests that truth monism should be reformulated. On this reformulation, which we refer to as accuracy monism, the fundamental epistemic goal is accuracy, where accuracy is a matter of “getting it right.” The idea then developed is that accuracy is a genus with several species. Believing truly is a prominent species, but it is not the only one. Finally, it is argued that accuracy monism is equally good or better than both traditional truth monism and its main dialectical rival, value pluralism, when it comes to satisfying three important axiological desiderata.     

Programmed instruction: What it is and how to do it

Five behaviorological features of programmed instruction are outlined: behavioral objectives, reinforcement, activity rate: high and relevant, successive approximation, and mastery progression. Each of these topics is explained, and examples are given to illustrate the differences between programmed instruction and the more common transmission model of teaching. A final section provides suggestions on specific techniques of successive approximation.     

Direct instruction: What it is and what it is becoming

This essay describes the principles of Direct Instruction design and delivery used to establish clear, unambiguous communication and maximize student responding. Direct Instruction research findings are summarized: achievement of low-income students in Follow Through, longitudinal results, and the effectiveness of Direct Instruction for students with handicaps. Finally, new directions for Direct Instruction, technological applications and instruction of higher-order skills, are discussed.     

Getting it right by getting it wrong: When learners change languages

When natural language input contains grammatical forms that are used probabilistically and inconsistently, learners will sometimes reproduce the inconsistencies; but sometimes they will instead regularize the use of these forms, introducing consistency in the language that was not present in the input. In this paper we ask what produces such regularization. We conducted three artificial language experiments, varying the use of determiners in the types of inconsistency with which they are used, and also comparing adult and child learners. In Experiment 1 we presented adult learners with scattered inconsistency - the use of multiple determiners varying in frequency in the same context - and found that adults will reproduce these inconsistencies at low levels of scatter, but at very high levels of scatter will regularize the determiner system, producing the most frequent determiner form almost all the time. In Experiment 2 we showed that this is not merely the result of frequency: when determiners are used with low frequencies but in consistent contexts, adults will learn all of the determiners veridically. In Experiment 3 we compared adult and child learners, finding that children will almost always regularize inconsistent forms, whereas adult learners will only regularize the most complex inconsistencies. Taken together, these results suggest that regularization processes in natural language learning, such as those seen in the acquisition of language from non-native speakers or in the formation of young languages, may depend crucially on the nature of language learning by young children.     

Aging and maintaining intentions over delays: do it or lose it

When execution of retrieved intentions must be briefly delayed, older adults display deficits in performing those intentions (G. O. Einstein, M. A. McDaniel, M. Manzi, B. Cochran, & M. Baker, 2000). This initial finding was extended by showing age-related deficits with 5-s unfilled delays, with instructions to rehearse during the delay, and with divided attention during initial retrieval of the intention. Performance increased with a break at the end of the delay period, such that when combined with full attention (during retrieval), older adults' performance approached that of younger adults. These results suggest that age compromises maintenance of information in awareness. Consequently, when forced to delay execution of retrieved intentions, older adults may rely more on plan reformulation and subsequent retrieval of the intention from long-term memory at the end of the delay.     

Expressing anger in conflict: when it helps and when it hurts

Do expressions of anger in conflict elicit competition or cooperation? To reconcile inconsistent results obtained in previous research, the authors developed and tested a dual-process model that proposes that power and the appropriateness of the expressions of anger jointly determine whether an individual facing an angry antagonist competes by demanding value or cooperates by conceding value. In a scenario study and a computer-mediated negotiation simulation, (a) participants with lower power claimed less value from an angry adversary than from a nonemotional one, regardless of the appropriateness of the expressions of anger, and (b) participants with higher power demanded more value when the adversary's expressions of anger were inappropriate than when they were appropriate or when the adversary was nonemotional. The theoretical and practical implications of the model and findings are discussed.