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While digital environments can offer convenient, viable options for preservice and inservice teachers to engage in or continue their studies, little is known about teachers' experiences with and perceptions of various existing online learning spaces. This paper describes an initial investigation using data from a group of preservice and in-service mathematics teachers who interacted by posting their reflections regarding online learning spaces to an asynchronous, electronic discussion board. Inductive qualitative techniques were incorporated to determine which online learning spaces study participants had experienced as well as their perceptions of each. Results are reported in light of possible implications for teacher education, including specific suggestions for additional study of online learning spaces. [ABSTRACT FROM AUTHOR]

Although many college students intend to major in Science, Technology, Engineering, and Mathematics (STEM), dropout from these fields is high, especially among members of historically underrepresented groups, such as women and racial-ethnic minorities. We propose a minimal, yet potentially powerful intervention to broaden participation in STEM: giving positive feedback to students in STEM. Studies 1 and 2 found that giving positive feedback is less normative in math (vs. English) courses, and instructors' feedback-giving practices and students' experiences mirror these norms. However, students who received positive (vs. only objective) feedback on introductory-level college calculus exams showed greater belonging and self-efficacy in math, which predicted better STEM outcomes (i.e., increased interest in STEM and higher final math course grades, respectively, Study 3). These findings were especially strong for racial-ethnic minority students. Giving positive (vs. only objective) feedback is thus a potentially transformative tool that boosts student outcomes, especially for underrepresented groups., Competing Interests: Declaration of Conflicting InterestsThe author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.