This research examined parents' involvement in children's math homework and activities. During 2017 to 2019, American parents (N = 483; 80% mothers; 67% white) of young elementary school children (M-age = 7.47 years; 50% girls) reported on their math helping self-efficacy; they also reported on their involvement in children's math homework and activities daily for 12 days. At this time and a year later, children's math motivation and achievement were assessed. Parents' involvement in homework (vs. activities) was more affectively negative (d = .34), particularly among parents low in self-efficacy (d = .23). The more affectively negative parents' involvement, particularly in homework, the poorer children's later math motivation and achievement (beta s = -.09 to .20).

Recent work has probed the developmental mechanisms that promote fair sharing. This work investigated 2.5- to 5.5-year-olds' (N = 316; 52% female; 79% White; data collected 2016-2018) sharing behavior in relation to three cognitive correlates: number knowledge, working memory, and cognitive control. In contrast to working memory and cognitive control, number knowledge was uniquely associated with fair sharing even after controlling for the other correlates and for age. Results also showed a causal effect: After a 5-min counting intervention (vs. a control), children improved their fair sharing behavior from pre-test to post-test. Findings are discussed in light of how social, cognitive, and motivational factors impact sharing behavior.

We examined 6- to 9-year-olds' (N = 60, 35 girls, 34% White, 23% Hispanic, 2% Black/African American, 2% Asian/Asian American, 22% Mixed Ethnicity/Race, 17% Unavailable, collected April–September 2019 in Providence, RI, USA) first-person perspectives on their exploration of museum exhibits. We coded goal setting, goal completion, and behaviors that reflected changes to how goals were accomplished. Whether children played collaboratively related to how often they revised behaviors to accomplish goals (OR = 2.14). When asked to reflect on their play, older children related talk about goals with behavioral revisions, demonstrating that children develop the ability to reflect on their goals when they watch their behaviors change (OR = 1.23). We discuss how these results inform the development of metacognitive reflection on learning through exploration. © 2022 The Authors. Child Development © 2022 Society for Research in Child Development.

A new parent-report measure was used to examine parents' person and process responses to children's math performance. Twice over a year from 2017 to 2020, American parents (N = 546; 80% mothers, 20% other caregivers; 62% white, 21% Black, 17% other) reported their responses and math beliefs; their children's (M-age = 7.48 years; 50% girls, 50% boys) math adjustment swas also assessed. Factor analyses indicated parents' person and process responses to children's math success and failure represent four distinct, albeit related, responses. Person (vs. process) responses were less common and less likely to accompany views of math ability as malleable and failure as constructive (|r|s = .16-.23). The more parents used person responses, the poorer children's later math adjustment (|beta|s = .06-.16).

Spatial construction-the activity of creating novel spatial arrangements or copying existing ones-is a hallmark of human spatial cognition. Spatial construction abilities predict math and other academic outcomes and are regularly used in IQ testing, but we know little about the cognitive processes that underlie them. In part, this lack of understanding is due to both the complex nature of construction tasks and the tendency to limit measurement to the overall accuracy of the end goal. Using an automated recording and coding system, we examined in detail adults' performance on a block copying task, specifying their step-by-step actions, culminating in all steps in the full construction of the build-path. The results revealed the consistent use of a structured plan that unfolded in an organized way, layer by layer (bottom to top). We also observed that complete layers served as convergence points, where the most agreement among participants occurred, whereas the specific steps taken to achieve each of those layers diverged, or varied, both across and even within individuals. This pattern of convergence and divergence suggests that the layers themselves were serving as the common subgoals across both inter and intraindividual builds of the same model, reflecting cognitive chunking. This structured use of layers as subgoals was functionally related to better performance among builders. Our findings offer a foundation for further exploration that may yield insights into the development and training of block-construction as well as other complex cognitive-motor skills. In addition, this work offers proof-of-concept for systematic investigation into a wide range of complex action-based cognitive tasks.

Children's ability to discriminate nonsymbolic number (e.g., the number of items in a set) is a commonly studied predictor of later math skills. Number discrimination improves throughout development, but what drives this improvement is unclear. Competing theories suggest that it may be due to a sharpening numerical representation or an improved ability to pay attention to number and filter out non-numerical information. We investigate this issue by studying change in children's performance (N = 65) on a nonsymbolic number comparison task, where children decide which of two dot arrays has more dots, from the middle to the end of 1st grade (mean age at time 1 = 6.85 years old). In this task, visual properties of the dot arrays such as surface area are either congruent (the more numerous array has more surface area) or incongruent. Children rely more on executive functions during incongruent trials, so improvements in each congruency condition provide information about the underlying cognitive mechanisms. We found that accuracy rates increased similarly for both conditions, indicating a sharpening sense of numerical magnitude, not simply improved attention to the numerical task dimension. Symbolic number skills predicted change in congruent trials, but executive function did not predict change in either condition. No factor predicted change in math achievement. Together, these findings suggest that nonsymbolic number processing undergoes development related to existing symbolic number skills, development that appears not to be driving math gains during this period. Children's ability to discriminate nonsymbolic number improves throughout development. Competing theories suggest improvement due to sharpening magnitude representations or changes in attention and inhibition. The current study investigates change in nonsymbolic number comparison performance during first grade and whether symbolic number skills, math skills, or executive function predict change. Children's performance increased across visual control conditions (i.e., congruent or incongruent with number) suggesting an overall sharpening of number processing. Symbolic number skills predicted change in nonsymbolic number comparison performance.

Anxiety within the domains of math and spatial reasoning have consistently been shown to predict performance within those domains. However, little work has focused on how specific these associations are. Across two studies, we systematically tested the degree of specificity in relations between anxiety and performance within math and spatial reasoning. Results consistently showed that anxiety within a cognitive domain predicted performance in that domain even when controlling for other forms of anxiety, providing evidence that cognition-specific anxieties are valuable for understanding cognition-specific performance. We also found that general trait anxiety did not explain a significant portion the anxiety-performance link in either math or spatial reasoning, suggesting that these anxiety-performance associations are not due to the propensity to feel anxious generally. Interestingly, while spatial anxiety did not explain any of the anxiety-performance association in math, math anxiety did explain a significant portion of the anxiety-performance link in spatial reasoning. These results suggest that, while links between anxiety and performance cannot be reduced to a single underlying general anxiety construct, there may nevertheless be overlap between domain anxieties. We end by calling for a more detailed examination of the unique and shared mechanisms linking anxiety and performance across disparate cognitive domains.

While mathematics anxiety (MA) has been widely researched in recent decades, this study addresses significant gaps: namely, research that explores the relationship between MA and self-reported mathematics experiences; samples adults with a range of MA levels; and controls for general anxiety. Additionally, the study sampled deaf and hard of hearing (DHH) students, whose diverse life and educational experiences often differ from hearing students'. We investigated whether DHH students' experiences with mathematics (i.e., parental behaviors, school environment, and mathematics feelings) and demographic variables (i.e., hearing status, age, and gender) predict their MA, and whether these relationships differ from those in hearing students. Self-report questionnaires were completed by 296 DHH and hearing college students. Linear regression analyses controlling for general anxiety led to the following inference: DHH students who reported more positive attitudes toward mathematics and school environments demonstrated higher MA. Also, the relationships between mathematics feelings, parental behaviors, and MA differed between DHH and hearing students. Logistic regression analyses showed no contribution of MA to students' likelihood of pursuing STEM degrees in either DHH or between DHH and hearing groups. Overall, this work breaks new ground in the study of MA in DHH students and challenges standard views of the relationships between MA and individual experiences.

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3-5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3-5 academic content standards. This study used Rasch measurement techniques to support psychometric analysis of the Problem Solving Measures when used with PSTs. Results indicate the Problem Solving Measures are appropriate for use with PSTs, and PSTs' performance on the Problem Solving Measures differed between first-year PSTs and end-of-program PSTs. Implications include program evaluation and the potential benefits of using K-12 student-level assessments as measures of PSTs' content knowledge.