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This study explored associations between parents' beliefs about children's development and children's reported math activities at home. Seventy-three parents were interviewed about the frequency of their children's participation in a broad array of math activities, the importance of children doing math activities at home, how children learn math, parents' role in their children's math learning, and parents' own math skills. Although the sample consisted of African Americans, Chinese, Latino, and Caucasian parents in the United States, the majority were Chinese or Caucasian. Several important findings emerged from this study. Parents' beliefs about math development and their role in fostering it were significantly related to children's math activities. There was important variability and relatively limited participation of children in math activities at home. There were age-related differences in children's engagement in math activities. Chinese and Caucasian parents showed somewhat similar beliefs about how children developed math. Although further research is needed to confirm the findings with a larger sample and to include measures of children's math competencies, these findings are an important step for developing home-based interventions to facilitate children's math skills.

This study examines the lived experiences of seven internationally diverse scholars from Canada, the United States, New Zealand, and Australia to answer the question: how do we make meaning of our collective boundary crossing experiences across disciplines and positions within SoTL? Our positions range from graduate student, faculty, and academic developers, to department chair and centre director. We conducted a phenomenological study, based on narratives of experience, and drew on Wenger-Trayner and Wenger-Trayner's (2015) theoretical framework that explores the features of a landscape of practice. Guided by this framework, we analyze our boundary crossings and brokering across the "diverse, political and flat" features of the SoTL landscape. Our collective findings highlight the critical role brokers play in facilitating boundary crossings. Brokering is precarious, bringing people together, building trusting relationships, and developing legitimacy while negotiating deadlocks, bureaucracy, authorities, and a multitude of challenges. Brokers, we found, require strength and resilience to mobilise, influence, and drive change in the landscape to transform existing practices or create new ones. We suggest that our analytical process can be used as a tool of analysis for future research about how brokers influence the SoTL landscape of practice and how brokering enhances SoTL development, support, and leadership.