Meta-reasoning requires monitoring and controlling one's reasoning processes, and it often begins with an assessment of problem solvability. We explored whether "Judgments of Solvability (JOS)" for solvable and unsolvable anagrams discriminate and predict later problem-solving outcomes once anagrams solved during the JOS task are…

Mathematics intervention research has established several effective interventions for building accuracy and fluency of math fact computation, as well as components that may improve student learning rates. While several evidence-based interventions promoting math fact accuracy and fluency exist, further work is needed to determine additional…

In light of the known visuoperceptual strengths and altered language skills in autism, we investigated the impact of problem content (semantic/visuospatial) combined with complexity and presence of lures on fluid reasoning in 43 autistic and 41 typical children (6-13 years old). Increased complexity and presence of lures diminished performance,…

A critical part of supporting the development of students' algorithmic thinking is understanding the challenges that emerge when students engage with algorithmatizing tasks--tasks that require the creation of an algorithm. Knowledge of these challenges can serve as a basis upon which educators can build effective strategies for enhancing students'…

Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the…

The statistical properties of data are not present in any individual value, but rather, emerge only by perceiving the set as a whole. Summarizing the statistical properties of sets (e.g., creating ensembles) is ubiquitous in cognition, yet one unanswered question is how this process changes over development. The properties of number sets (e.g.,…

Teachers require support in developing the pedagogical skill of interpreting students' mathematical thinking and providing effective feedback that promotes learning. However, there is a lack of research assessing the quality of feedback based on teacher noticing in mathematics classes. This study analysed 20 preservice teachers' (PSTs) feedback…

Anxiety, one of the most common underlying causes of challenging student behavior, typically goes undiscovered and unaddressed through school-based behavior supports. Jessica Minahan and Stuart Ablon combine their expertise as a behavior analyst and a psychologist to outline how best to support students whose anxiety leads to challenging behavior.…

Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…

This study aimed to investigate children's potential for reasoning by analogy utilizing a newly-developed computerized dynamic test, and the potential differential influence of executive functions (cognitive flexibility, attention, and planning) on static and dynamic measures of analogical reasoning. Participants included 64 children (mean age =…

The literature on insight problems--problems that supposedly can only be solved by rejection of an initial faulty problem representation and sudden comprehension of another, nonobvious representation (restructuring)--suggests that the size of initial representations affects the very process of problem solving. Large initial representations impose…

The development of the economics HOTS test that combines critical thinking skills, problem-solving, and critical thinking are essential to meet the challenges of the 21st century life skills. The combination of these thinking skills in the HOT test will help teachers to diagnose students' strengths and weaknesses. However, it could interfere with…

Relational reasoning, the ability to detect meaningful patterns, matures through adolescence. The unique contributions of verbal analogical and nonverbal matrix relational reasoning to science and maths are not well understood. Functional magnetic resonance imaging data were collected during science and maths problem-solving, and participants…

In this article, we use a two-dimensional assessment to examine the experimental impacts of a mathematics learning trajectory-oriented formative assessment program on student strategies for problems involving multiplication and division. Working from the theory that the development of students' multiplicative reasoning involves improvements in…

This paper reports some experiments on probabilistic reasoning designed to investigate the impact of the probabilistic problem presentation format (verbal-numerical and graphical-pictorial) on subjects' confidence in the correctness of their performance, other than the calibration between confidence and accuracy. To understand the potential effect…