This study compared effects of student choice of task sequence to two variations in teacher-manipulated task sequences on on-task behavior of elementary-aged students with disabilities. Researchers modified Call et al.'s (J Appl Behav Anal 42: 723-728, 2009) demand assessment to determine high-, moderate-, and low-probability tasks. Next,…

Previous research has shown that early numerical abilities are predictive of later mathematical achievement. In line with these previous studies, we investigated whether early numerical abilities are also associated with later probabilistic reasoning abilities. In the present study, we examined children's numerical abilities in the second grade of…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

Employing a statistical modeling inspired pedagogy is becoming a widespread practice in the statistics education community. Many have incorporated the practice of formulating conjectures in their modeling-enhanced educational designs and have reported on its benefits. We further elucidate the mechanism through which students' conjecturing may be…

Word spacing is important in guiding eye movements during spaced alphabetic reading. Chinese is unspaced and it remains unclear as to how Chinese readers segment and identify words in reading. We conducted two parallel experiments to investigate whether the positional probabilities of the initial and the final characters of a multicharacter word…

By focusing on a particular alteration of the comparative likelihood task, this study contributes to research on teachers' understanding of probability. Our novel task presented prospective teachers with multinomial, contextualized sequences and asked them to identify which was least likely. Results demonstrate that determinants of…

The present study investigated the development of fraction comparison strategies through a longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th grades (N = 394). Participants were asked to choose the larger value for 24 fraction pairs blocked by fraction type. Latent class analysis of performance over item…

This paper reports on the results of a study investigating the potential to embed Informal Statistical Inference in statistical investigations, using TinkerPlots, for assisting 8th grade students' informal inferential reasoning to emerge, particularly their articulations of uncertainty. Data collection included students' written work on a…

Regret and relief are related to counterfactual thinking and rely on comparison processes between what has been and what might have been. In this article, we study the development of regret and relief from late childhood to adulthood (11.2-20.2 years), and we examine how these two emotions affect individuals' willingness to retrospectively…

Under the normative Expected Value (EV) model, multiple outcomes are additive, but in everyday worth judgement intuitive averaging prevails. Young children also use averaging in EV judgements, leading to a disordinal, crossover violation of utility when children average the part worths of simple gambles involving independent events (Schlottmann,…

Purpose: The authors examined initial acquisition of mental graphemic representations (MGRs) for a set of pseudowords in children with language impairment (LI). They also determined whether the linguistic properties of the words (i.e., phonotactic and orthotactic probabilities) influenced MGR learning and whether the ability to acquire initial…

The purpose of this study is to apply the attribute hierarchy method in an operational diagnostic mathematics program at Grades 3 and 6 to promote cognitive inferences about students' problem-solving skills. The attribute hierarchy method is a psychometric procedure for classifying examinees' test item responses into a set of structured attribute…

Purpose: The purpose of this study was to determine whether children exposed to 2 languages would benefit from the phonotactic probability cues of a single language in the same way as monolingual peers and to determine whether crosslinguistic influence would be present in a fast-mapping task. Method: Two groups of typically developing children…

Academic tasks that include easy responses increase the probability that less preferred and/or more challenging tasks will be performed. The current study applied the process of arranging easier stimuli within reading word lists with behavioral momentum and an interspersal technique. We hypothesized that the behavioral momentum condition, which…

The purpose of the current investigation was to determine if the experimental analysis of antecedent variables conducted in English and in Spanish would identify effective and ineffective instructions for response accuracy for Spanish-speaking English language learners. An antecedent variable (i.e., directive complexity) arranged in a hierarchical…