Developing a Learning Progression for Curriculum,Instruction, and Student Learning: An Example from Mathematics Education

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked understanding of students learning over time through careful articulation of a curricular framework and progression, instructional sequence, assessments, and levels of sophistication in student learning. Under this broadened conceptualization, we advance a methodology for developing and validating learning progressions, and advance several design considerations that can guide research concerned with engendering forms of mathematics learning, and curricular and instructional support for that learning. We advance a two-phase methodology of (a) research and development, and (b) testing and revision. Each phase involves iterative cycles of design and experimentation with the aim of developing a validated learning progression. In particular, we gathered empirical data to revise our hypothesized curricular framework and progression and to measure change in students. thinking over time as a means to validate both the effectiveness of our instructional sequence and of the assessments designed to capture learning. We use the context of early algebra to exemplify our approach to learning progressions in mathematics education with a focus on the concept of mathematical equivalence across Grades 3-5. The domain of work on research on learning over time is evolving; our work contributes a broadened role for learning progressions work in mathematics education research and practice.     

Admissions of racism in discourse on migration in Greece: Beyond the norm against prejudice?

The turn to language in social psychology is closely related to the study of prejudice as racist discourse has been the subject matter of some of the ground‐breaking discourse analytic work. A widely accepted argument was that there seems to be a norm against prejudice informing Western societies: people commonly engage in denials of prejudice when they make negative comments about minorities. Recent work has argued that, due to ideological shifts in the wider societal context or because denying prejudice may not be people's only rhetorical concern, it is possible to find people admitting prejudice. We examine how people in Greece, Greek majority and immigrants, formulate admissions of racism in interviews on migration and citizenship in Greece. Drawing on Ideological Dilemmas and Critical Discursive Social Psychology, we argue that these admissions ironically operate within the norm against prejudice and discuss our findings in relation to the wider socio‐political Greek context.     

Increased parasympathetic activity and ability to generate positive emotion: The influence of the BDNF Val66Met polymorphism on emotion flexibility

Cross-species behavioral research suggests that a single nucleotide polymorphism (SNP) in the brain-derived neurotrophic factor (BDNF) gene (rs6265, Val66Met), influences behavioral inflexibility. This SNP has not yet been linked to variability in emotion-related behaviors, despite broader evidence suggesting an association may be present. This investigation explored the role of the BDNF Val66Met polymorphism in emotion response behaviors measured during a lab-based emotional provocation. Specifically, the influence of BDNF Val66Met in emotion flexibility was explored in a sample of healthy adults (N?=?120), emotion responses were recorded during the emotional provocation on multiple dimensions, in response to emotionally-evocative videos of negative then positive valence. These results suggest that Met carriers exhibit decreased parasympathetic responding, and reduced ability to generate positive emotion, relative to Val homozygotes. These findings are the first to suggest an association between the Met allele and a pattern of responding indicative of emotion inflexibility that might afford greater risk for psychopathology.     

Reducing gender identity bias through imagined intergroup contact

Transgender individuals face high levels of stereotyping, prejudice, discrimination, and violence. However, there is a paucity of research (particularly experimental work) investigating the magnitude of gender identity bias (GIB) targeting transgender individuals, as well as interventions designed to ameliorate it. To address this gap, we conducted experimental investigations of reactions to identical, highly qualified men or women job applicants described as either transgender or cisgender (Experiments 1a, 1b), and tested the efficacy of an imagined intergroup contact (IIC) intervention (relative to a control condition) in ameliorating GIB against transgender women (Experiment 2). As expected, all applicants were perceived as equally highly competent, adding to the literature suggesting that clearly demonstrating excellent qualifications can prevent biased judgments of candidate competence. However, revealing GIB, transgender men and women were rated as less likeable and hirable than the identical cisgender applicants, despite the fact that they were viewed as equally competent (Experiments 1a, 1b). Providing additional evidence of GIB, in the absence of IIC, participants rated a transgender female applicant as less likeable and hirable than the identical cisgender applicant, and also reported less self‐other overlap and perspective taking for the transgender applicant (Experiment 2). However, these target gender identity differences were reduced (for likeability) or fully eliminated (for the remaining outcomes) in the IIC condition. Put another way, while reactions to the cisgender applicant were unaffected by intervention condition, IIC elevated perceptions of the transgender applicant, suggesting that it may function as an effective GIB intervention.     

Discrimination and Reversal Learning by Toddlers Aged 15-23 Months

Few studies have investigated simple discrimination and discrimination reversal learning by children younger than 2 years. Extant research has shown that teaching discrimination reversals may be challenging with this population. We used social reinforcement and correction procedures to teach simple simultaneous discrimination and discrimination reversal tasks involving three pairs of animal pictures displayed in a paper notebook. Participants were eight typically developing toddlers aged 15-23 months. All learned at least one simple discrimination/discrimination reversal problem. Four children learned all problems and showed evidence of learning set formation. Perhaps surprisingly, discrimination reversals were sometimes learned more rapidly than original discriminations. The procedures suggest a potentially efficient methodology for investigating more complex aspects of relational learning in toddlers.

     

Effects of Monitoring and Social Reprimands on Instruction-Following in Undergraduate Students

The effects of the magnitude of nonverbal consequences, monitoring, and social consequences on instruction-following were evaluated. Twenty-four undergraduates were exposed to a matching-to-sample procedure. The undergraduates underwent four experimental phases that differed regarding the presence or absence of the observer and the correspondence or non-correspondence of the instructions with the nonverbal contingency. In Experiments 1 and 2, the magnitudes of the nonverbal consequences were manipulated, and in Experiment 3, the effects of verbal reprimands on instruction-following were evaluated. The results revealed that alterations in the magnitudes of nonverbal consequences did not influenced the performances of the participants and that monitoring increased the probability that the participants would follow the instructions but not to an extent sufficient to maintain performance when the consequences did not correspond to the nonverbal contingency. The inclusion of verbal reprimands was necessary to achieve this effect. These results support the proposition that social control is important for maintaining instruction-following.

     

French Validation of the Overexcitability Questionnaire 2: Psychometric Properties and Factorial Structure

Overexcitability corresponds to an overall response to stimulations in 5 domains: psychomotor, sensual, intellectual, imaginational, and emotional. The aim of this study was to develop a French version of the Overexcitability Questionnaire 2 (OEQ2) and to expand its psychometric properties. Two studies were conducted: one with a sample of 474 adolescents and another with a sample of 436 adults. Internal consistency, factorial structure, and validity (correlations with intelligence, personality, and alexithymia) were examined. The French OEQ2 showed satisfactory psychometric properties, thus advocating for its use in further research on overexcitability and in clinical practice.     

Who’s afraid of the big bad wolf? The interweaving of values and science

The role of values in the scientific process is widely debated. But evidence and values cannot be neatly separated. Instead, values infuse the entire scientific process, starting with the choice of research questions. Research avenues are selected based on prior beliefs about the workings of the world. In fact, informally assigned prior probabilities and normalizing constants play an essential role in distinguishing causes from correlations and ignoring irrelevant associations that would otherwise be suggested by raw data. But since these initial probabilities often have a heterogeneous pedigree – often not all that went into their formation is known or knowable – it becomes difficult to cleanly separate evidence from values. At the same time, this reality does not undermine science’s unique status in generating knowledge. This is because it is not the evidence per se generated by science, but rather the method by which science generates it, that justifies science’s privileged role.     

Sexual Orientation and Substance Use: The Moderation of Parental Attachment

There is a substantial amount of research exploring patterns of sexual orientation and substance use, often finding increased substance use for non-heterosexuals. An additional body of research explores the concept of family support from a number of perspectives. There is a noted lack of overlay between family support, sexual orientation, and substance use. This research uses data from Waves III and IV of the National Longitudinal Study of Adolescent Health to examine how parental attachment, as a measure of family support, may moderate the association between sexual orientation and substance use. We test the notion that as parental attachment increases, substance use patterns will decrease for both heterosexual and non-heterosexual individuals. We also hypothesize that parental attachment will have a stronger effect of decreasing substance use for non-heterosexuals than for heterosexuals.