Teacher responses to student mathematical thinking (SMT) matter because the way in which teachers respond affects student learning. Although studies have provided important insights into the nature of teacher responses, little is known about the extent to which these responses take into account the potential of the instance of SMT to support…

Productive problem solving, concept construction, and sense making occur through the core process of abstraction. Although the capacity for domain-general abstraction is developed at a young age, the role of abstraction in increasingly complex and disciplinary environments, such as those encountered in undergraduate STEM education, is not well…

This paper reports on empirical results about the influence of two different teaching designs on the development of tertiary students' modelling competency and attitudes towards modelling. A total of 144 first year engineering students were exposed to a diagnostic entrance test, a modelling unit consisting of five lessons with ten tasks, enframed…

The ability to monitor and adjust our performance is crucial for adaptive behaviour, a key component of human cognitive control. One widely studied metric of this behaviour is post-error slowing (PES), the finding that humans tend to slow down their performance after making an error. This study is a first attempt at generalizing the effect of PES…

Problem solving and reasoning are two key components of becoming numerate. Reports obtained from international assessments show that Australian students' problem solving ability is in a long-term decline. There is little evidence that teachers are embracing problem solving as part of the classroom routine. In this study, we analyse 598 Year 7 to…

The teaching practice of noticing students' thinking includes both attention to students' mathematical strategies and interpretation of their mathematical understanding. This practice is further complicated when students are engaged with mathematical action technologies while learning mathematics content because, in these contexts, teachers must…

A significant way to contribute in the analysis of deficiencies in school performance, a known issue particularly in mathematics, is by delving into children's development of informal mathematics during their early childhood, and thus have better elements to intervene in a more timely, effective manner. From this point of view, this study analyzes…

This paper analyses how pre-service teachers approach the notion of the infinite limit of a sequence from two perspectives: Specialized Content Knowledge and Advanced Mathematical Thinking. The aim of this study is to identify the difficulties associated with this notion and to classify them. In order to achieve this, an exploratory qualitative…

The advent of COVID-19 highlighted widespread misconceptions regarding people's accuracy in interpreting quantitative health information. How do people judge whether they accurately answered health-related math problems? Which individual differences predict these item-by-item metacognitive monitoring judgments? How does a brief intervention…

Background: Mapping fraction symbols to magnitudes is easier for students to master than comparing fraction magnitudes. Fraction mapping assesses students' understanding of part-whole interpretations of fractions; fractions represent the parts of an object or set of objects. Fraction comparison assesses students' understanding of measurement…

Although early childhood education emphasizes peer learning opportunities, adults, including early childhood teachers, often underestimate preschoolers' abilities to participate in cooperative interactions. Within the empirical literature, cooperative learning among young peers remains poorly understood. This research aims to help build the…

Quantitative and computational skills are required of 21st-century biologists. While biology student abilities and attitudes toward math have been studied extensively, less is known about corresponding attitudes toward computer science (CS). It is important to understand how students perceive math and CS subjects and whether those perceptions are…

Background and Aims: There is currently a dearth of tools to assess parents' use of effective interactive strategies for supporting early mathematics learning. One potential such strategy is sustained shared thinking. This study therefore constructed and validated a scale for measuring parents' use of sustained shared thinking during joint…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…

This ethnographic study investigates the emotional experiences and positive relationships within a high school Algebra 2 classroom, focusing on how these dynamics influence students' engagement in mathematics. Using Vea's (2020) framework of emotional configurations and guided emotion participation, along with CASEL's Social-Emotional Learning…