The basis of behavioral momentum in the nonlinearity of strength

The persistence of operant responding in the context of distractors and opposing forces is of central importance to the success of behavioral interventions. It has been successfully analyzed with Behavioral Momentum Theory. Key data from the research inspired by that theory are reanalyzed in terms of more molecular behavioral mechanisms: the demotivational effects of disruptors, and their differential impacts on the target response and other responses that interact with them. Behavioral momentum is regrounded as a nonlinear effect of motivation and reinforcement rate on response probability and persistence. When response probabilities are high, more energy is required to further increase or to decrease them than when they are low. Classic Behavioral Momentum Theory effects are reproduced with this account. Finally, it is shown how the new account involving motivation and competition is closely related to the metaphor of force and action that is at the core of Behavioral Momentum Theory.     

Prospective Elementary Teachers Learning to Reason Flexibly with Sums and Differences: Number Sense Development Viewed Through the Lens of Collective Activity

I present a viable learning trajectory for prospective elementary teachers’ number sense development with a focus on whole-number place value, addition, and subtraction. I document a chronology of classroom mathematical practices in a Number and Operations course. The findings provide insights into prospective elementary teachers’ number sense development. These include the role of standard algorithms and their relationship to the evolution of classroom mathematical practices that involve reasoning flexibly about number composition, sums, and differences.     

The natural mathematics of behavior analysis

Models that generate event records have very general scope regarding the dimensions of the target behavior that we measure. From a set of predicted event records, we can generate predictions for any dependent variable that we could compute from the event records of our subjects. In this sense, models that generate event records permit us a freely multivariate analysis. To explore this proposition, we conducted a multivariate examination of Catania's Operant Reserve on single VI schedules in transition using a Markov Chain Monte Carlo scheme for Approximate Bayesian Computation. Although we found systematic deviations between our implementation of Catania's Operant Reserve and our observed data (e.g., mismatches in the shape of the interresponse time distributions), the general approach that we have demonstrated represents an avenue for modelling behavior that transcends the typical constraints of algebraic models.     

Telehealth and in‐person training outcomes for novice discrete trial training therapists

The efficacy and efficiency of telehealth and in‐person training were compared while teaching seven undergraduate students to implement components of discrete trial training. A multiple‐baseline design across skills with elements of multiple probe and delayed multiple baseline combined with an alternating‐treatments design was used to evaluate the effects of behavioral skills training (BST) on (a) implementing a multiple stimulus without replacement preference assessment, (b) setting up an instructional context, (c) delivering antecedent prompts, and (d) delivering consequences for accurate and inaccurate responding. Two skills were trained via telehealth and two skills were trained in‐person using BST procedures with a mock student. All participants provided high acceptability ratings for both training procedures. Results also showed that telehealth training was as efficacious and efficient as in‐person training for all skills across all participants. Five of six participants showed high levels of maintenance of the newly acquired skills; these five also exhibited the skills during a novel instructional task.     

Semiotic systems,culture and early mathematical knowledge / Sistemas semióticos,cultura y conocimiento matemático temprano

Abstract

In this introduction to the issue Semiotic tools in early mathematical knowledge, we offer a theoretical perspective that provides meaning to the different contributions. We begin by reviewing three perspectives bearing an important influence on the study of mathematical development in childhood (the Piagetian, the information processing and the neonativist perspectives). Next, we underscore the need for developmental studies in this domain to consider the semiotic component, and hence the socio-cultural component, in depth. The contributions that form this volume — a theoretical article, five papers and four short reports of empirical studies and a review of an instructional approach — illustrate different ways of including the semiotic component in the study of children’s mathematical knowledge.     

A first grade student’s exploration of variable and variable notation / Una alumna de primer grado explora las variables y su notación

Abstract

This paper presents a case study of a first grade student to illustrate the diversity of her understandings related to variables and variable notation. While prior research has documented secondary school students’ difficulties with variables and variable notation, we identify many productive understandings in this much younger student, leading us to question the prevailing argument that students might have difficulties with variables due mostly to their own limitations. We draw our data from a teaching experiment that explored functional relationships. Individual interviews were carried out with a subset of the students in the experiment prior to, as well as mid-way through and at the end of the experiment. This paper focuses on a set of three interviews with one of the first grade students. We illustrate the shifts that occurred in the student’s understandings about variables and variable notation across as well as within each of the three interviews.     

Longitudinal Changes of Planned Happenstance Skills by Gender,Community Types,and Employment Status in a Sample of College Students in School‐to‐Work Transition

This study examined the characteristics of college students who are transitioning from school to work by measuring their mean differences on planned happenstance skills subscales at 3 separate time points. The results indicated that the mean of planned happenstance skills changed across the 3 time points and are somewhat different through demographic factors, such as gender, community types, and employment status. In addition, 2‐way and 3‐way multivariate analysis of variance results showed that the interaction effects of 3 demographic variables on 5 planned happenstance skills were not significant. Practical implications for career counselors are discussed.     

团队决策及其影响因素

随着组织结构的变化,团队决策为越来越多的组织所采用。该文将团队决策的研究范式概括为以下四类：社会决策图式（social decision scheme, SDS）、信息取样模型（information sampling model）、项目排序任务（ranking item task）团队以及组织中以安全优先的团队（safety priority team）;并从影响团队决策的因素,提高团队决策质量的策略等角度分别对四类团队决策的研究进行探讨,在此基础上本文对未来研究进行了展望