Experiential Avoidance: An Examination of the Construct Validity of the AAQ-II and MEAQ

Experiential avoidance (also referred to as acceptance or psychological flexibility) is a core construct of third-wave behavior therapies. It is the tendency to avoid uncomfortable thoughts or feelings, even when doing so has negative long-term consequences. In order for developments in experiential avoidance and third-wave behavior therapies to continue, it is imperative to examine the construct validity of the most widely used measures of this construct, the Acceptance and Action Questionnaire–II (AAQ-II) and the Multidimensional Experiential Avoidance Questionnaire (MEAQ). In Amazon’s Mechanical Turk (N = 1,052) and college (N = 364) samples, we evaluated the construct validity of these measures. The AAQ-II demonstrated suboptimal patterns of convergent and discriminant validity with measures of neuroticism/negative affect (Big Five Inventory, Big Five Aspects Scale, Positive and Negative Affect Schedule), the MEAQ, and mindfulness (Five Factor Mindfulness Questionnaire). In contrast, the MEAQ demonstrated optimal convergent and discriminant validity. Factor analyses at the scale, subscale, and item levels demonstrated that the AAQ-II loads with indicators of neuroticism/negative affect and not with other constructs at the core of third-wave behavior therapies. In contrast, the MEAQ loads on factors with mindfulness or forms its own factors. These findings suggest the AAQ-II functions as a measure of neuroticism/negative affect, whereas the MEAQ functions as an indicator of experiential avoidance. These findings have substantial implications for research on experiential avoidance and third-wave behavior therapies. Therefore, in order to improve the theory, research, and practice of third-wave behavior therapies, we recommend using the MEAQ to assess experiential avoidance.     

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.     

乡镇小学生的数学焦虑与数学成绩:数学自我效能感和数学元认知的链式中介作用

采用儿童数学焦虑量表、小学生数学学习自我效能感量表和小学生数学元认知问卷,对508名乡镇中、高年级小学生进行测量,并运用结构方程模型探讨数学焦虑影响数学成绩的内在作用机制。结果发现：（1）数学焦虑显著负向预测数学自我效能感、数学元认知和数学成绩,数学自我效能感显著正向预测数学元认知和数学成绩,数学元认知显著正向预测数学成绩;（2）在数学焦虑对数学成绩的预测中,数学自我效能感和数学元认知均发挥了部分中介作用;（3）数学自我效能感和数学元认知在数学焦虑和数学成绩之间起链式多重中介的作用。因此,数学焦虑除了直接作用于小学生的数学成绩,还可通过数学自我效能感或数学元认知间接影响数学成绩,而且可通过数学自我效能感进而通过数学元认知间接影响数学成绩。文章讨论了上述发现的理论及教育实践含义。     

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.     

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.     

The dual pathway to creativity model: Creative ideation as a function of flexibility and persistence

The dual pathway to creativity model argues that creativity—the generation of original and appropriate ideas—is a function of cognitive flexibility and cognitive persistence, and that dispositional or situational variables may influence creativity either through their effects on flexibility, on persistence, or both. This model is tested in a number of studies in which participants performed creative ideation tasks. We review work showing that cognitive flexibility, operationalised as the number of content categories surveyed, directly relates to idea originality, but that originality can also be achieved by exploring a few content categories in great depth (i.e., persistence). We also show that a global processing mode is associated with cognitive flexibility, but only leads to high originality in tasks that capitalise on cognitive flexibility. We finally show that activating positive mood states enhance creativity because they stimulate flexibility, while activating negative mood states can enhance creativity because they stimulate persistence. Implications for theory and practice are discussed.     

Goodbye and farewell: Siegel vs. Feyerabend∗

The discussion between Searle and the Churchlands over whether or not symbolmanipulating computers generate semantics will be confronted both with the rulesceptical considerations of Kripke/Wittgenstein and with Wittgenstein's privatelanguage argument in order to show that the discussion focuses on the wrong place: meaning does not emerge in the brain. That a symbol means something should rather be conceived as a social fact, depending on a mutual imputation of linguistic competence of the participants of a linguistic practice to one another. The alternative picture will finally be applied to small children, animals, and computers as well.     

Disentangling the belief in God and cognitive rigidity/flexibility components of religiosity to predict racial and value-violating prejudice: A Post-Critical Belief Scale analysis

Past research indicates that being religious is associated with prejudice toward racial and value-violating out-groups. However, this past research treated religiosity as a unidimensional construct without taking into account how different components of religiosity—belief in a higher power and the rigidity/flexibility of religious beliefs—are associated with measures of prejudice. Two studies examined the relationship between these two components of religiosity, as measured by the Post-Critical Beliefs Scale, and racial (African Americans, Arabs) and value-violating prejudices (atheists, gay men). As the flexibility of religious beliefs increased (literal vs. symbolic dimension), attitudes toward racial and value-violating out-groups became more positive (Study 1). As belief in God strengthened (exclusion vs. inclusion of transcendence dimension), attitudes toward value-violating out-groups became more negative. Study 2 demonstrated that these two components of religiosity fully mediated the relationship between general religiosity and prejudice toward African Americans, Arabs, and gay men and partially mediated the relationship between religiosity and prejudice toward atheists. Results are discussed in light of reexamining the conclusion that simply being religious is associated with prejudice.