A solid foundation in math is important for children's long-term academic success. Many factors influence children's math learning--including the math content students are taught in school, the quality of their instruction, and the math attitudes of students' teachers. Using a large and diverse sample of first-grade students (n = 551), we…

In the frame of national Italian standardized assessments in mathematics, a didactic phenomenon has been observed concerning students' behaviour when answering an item: students are inclined towards not accepting an output which is not clearly recognizable with something distinct from the starting inputs. The observed effect seems to originate…

At both the undergraduate and graduate level, an increasing number of students are completing their coursework online or in hybrid formats. As online learning grows and evolves, and new teaching tools emerge, it is useful to review approaches for effective teaching in this modality. This paper focuses, in particular, on proven tools in online…

The present study aimed to examine the relations of early numeracy activities and skills to mathematics dispositions, engagement, and achievement among 26,859 fourth graders in the United Arab Emirates who took part in the sixth cycle of the Trends in International Mathematics and Science Study (TIMSS) in 2015. The study also explored the…

This article considers the development of synthetic landscapes of multiplicative reasoning constructed by student teachers (pre-service teachers). It explores the implications of working in a way that integrates literature from Maths Recovery, Cognitively Guided Instruction and Realistic Mathematics Education approaches. The aim is to better…

The purpose of this study was to investigate eighth grade students' mathematical communication competency, affective characteristics, and the differentiation in affective characteristics across their communication competency levels. The mixed method sequential explanatory design was used. The quantitative data were collected from 140 students…

Number lines and area models are both used pervasively in teaching fractions. Prior studies found that second and third graders demonstrated better magnitude knowledge of proper fractions after a 15-minute training using the number line as compared to using the area model. The current study aimed to extend these findings to improper fractions. We…

This paper concerns the design of a specific computer-based educational environment fostering students' shift from argumentation to proof in geometry. In particular, we focus on the language difficulties that such a shift might present and on the need for suitable interventions to overcome them. In this respect, we designed a specific device,…

Identifying meaningful cognitive and noncognitive predictors of mathematical competence is critical for developing targeted interventions for students struggling with mathematics. Here, 317 students' short-term verbal memory, verbal and visuospatial working memory, complexspatial abilities, intelligence, and mathematics attitudes and anxiety were…

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…

Teacher-directed and self-directed learning have been compared across various contexts. Depending on the settings and the presentation of material, mixed benefits are found; the specific circumstances under which either condition is advantageous are unclear. We combined and reanalyzed data from two experimental studies investigating the effects of…

It is well established that gesture facilitates learning, but understanding the best way to harness gesture and "how" gesture helps learners are still open questions. Here, we consider one of the properties that may make gesture a powerful teaching tool: its temporal alignment with spoken language. Previous work shows that the…

People frequently encounter numeric information in medical and health contexts. In this paper, we investigated the math factors that are associated with decision-making accuracy in health and non-health contexts. This is an important endeavor given that there is relatively little cross-talk between math cognition researchers and those studying…

Students lacking automaticity of multiplication facts puts them at a disadvantage when learning fifth grade mathematics standards. If students need to use a multiplication chart, or use tally marks, or repeated addition to solve multiplication problems, they struggle to move forward with standards, which involve exponents, fractions, area, and…

Skills and understanding of operations with negative numbers, which are typically taught in middle school, are crucial aspects of numerical competence necessary for all subsequent mathematics. To more swiftly and coherently develop the field's understanding of how to foster this critical competence, we need shared measures that allow us to compare…