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1. Classifying curricular reasoning: Ways for capturing teachers’ curricular decision

   Dingman, Shannon; Teuscher, Dawn; Olson, Travis; Roth_McDuffie, Amy (October 2023, Proceedings for the forty-fifth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education)

   Lamberg, T; Moss, D (Ed.)

   Mathematics teachers make numerous decisions that form lessons that in turn greatly influence what students learn. In making these decisions, teachers rely on their curricular reasoning (CR) to decide on what mathematics to teach, how to structure their lesson, and what problems or tasks to use to achieve their lesson goals. However, teachers differ with respect to the sophistication of their CR and the diversity of CR aspects used in their reasoning. In this paper, we detail two ways to classify teachers’ CR: a leveled approach to capture the increasing sophistication of teachers’ CR, and a heat map approach that highlights the extent to which teacher use various CR aspects in their planning. These methods provide stakeholders avenues by which CR can be studied and that teachers’ CR abilities can be further developed. 

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2. Analyzing Children’s Spatial Reasoning Using an Existing Learning Progression: Insights from Interviews and Task Performance

   https://doi.org/10.1007/s10643-025-01862-6  

   Pinilla, Robyn K; Wellberg, Sarah; Castro-Faix, Moraima; Ketterlin-Geller, Leanne R (February 2025, Early Childhood Education Journal)

   Spatial reasoning comprises a set of skills used to mentally visualize, orient, and transform objects or spaces. These skills, which develop in humans through interaction with our physical world and direct instruction, are strongly associated with mathematics achievement but are often neglected in early grades mathematics teaching. To conceptualize ways to increase the representation of spatial reasoning skills in the classroom, we examined the outcomes of cognitive interviews with kin- dergarten through grade two students in which they engaged with one spatial reasoning task. Qualitative analyses of students’ work samples and verbal reasoning responses on a single shape de/composition task revealed evidence of a continuum of sophistication in their responses that supports a previously articulated hypothetical learning progression. Results suggest that teachers may be able to efficiently infer students’ skills in spatial reasoning using a single task and use the results to make instructional decisions that would support students’ mathematical development. The practical implications of this work indicate that additional classroom-based research could support the adoption of such practices that could help teachers efficiently teach spatial reasoning skills through mathematics instruction. 

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3. Teacher learning to teach mathematics via reasoning and proving: a discursive analysis of lesson plans modifications

   https://doi.org/10.3389/feduc.2023.1154531  

   Weingarden, Merav; Buchbinder, Orly (August 2023, Frontiers in Education)

   Christiansen, I (Ed.)

   Despite the importance of reasoning and proving in mathematics and mathematics education, little is known about how future teachers become proficient in integrating reasoning and proving in their teaching practices. In this article, we characterize this aspect of prospective secondary mathematics teachers’ (PSTs’) professional learning by drawing upon the commognitive theory. We offer a triple-layer conceptualization of (student)learning,teaching, andlearning to teachmathematics via reasoning and proving by focusing on the discourses students participate in (learning), the opportunities for reasoning and proving afforded to them (teaching), and how PSTs design and enrich such opportunities (learning to teach). We explore PSTs’ pedagogical discourse anchored in the lesson plans they designed, enacted, and modified as part of their participation in a university-based course:Mathematical Reasoning and Proving for Secondary Teachers. We identified four types of discursive modifications: structural, mathematical, reasoning-based, and logic-based. We describe how the potential opportunities for reasoning and proving afforded to students by these lesson plans changed as a result of these modifications. Based on our triple-layered conceptualization we illustrate how the lesson modifications and the resulting alterations to student learning opportunities can be used to characterize PSTs’ professional learning. We discuss the affordances of theorizing teacher practices with the same theoretical lens (grounded in commognition) to inquire student learning and teacher learning, and how lesson plans, as a proxy of teaching practices, can be used as a methodological tool to better understand PSTs’ professional learning. 

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4. We Strive: Initial Explorations of STEM Teachers’ Successes and Challenges in Implementing Socioscientific Issues.

   Johnson, J. (October 2022, Pennsylvania teacher educator)

   This study explores the experiences of two teachers participating in professional development workshops focused on supporting implementation of SocioScientific Issues (SSI) and aspects of social justice into STEM classrooms. SSI are ill-defined problems, with a basis in science, but necessarily include moral and ethical decisions that cannot be resolved through science alone. These debatable issues can enhance learning of STEM by engaging students in real-world and authentic problems. The USTRIVE project was developed to foster STEM learning through integrated professional development workshops and the development of professional learning communities to support teachers in the use of SSI and incorporation of aspects of social justice in their STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson planning during the project and (b) In what ways did teachers’ designed lessons change from the beginning of the workshop? 

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5. We Strive: Enhancing Implementation of Socioscientific Issues in STEM Classrooms Through Professional Development

   Johnson, J.; Macalalag, A.; Mathers-Lowery, B; Ialacci, G. (October 2022, Pennsylvania teacher educator)

   This study explores the experiences of two teachers participating in professional development workshops focused on supporting implementation of SocioScientific Issues (SSI) and aspects of social justice into STEM classrooms. SSI are ill-defined problems, with a basis in science, but necessarily include moral and ethical decisions that cannot be resolved through science alone. These debatable issues can enhance learning of STEM by engaging students in real-world and authentic problems. The USTRIVE project was developed to foster STEM learning through integrated professional development workshops and the development of professional learning communities to support teachers in the use of SSI and incorporation of aspects of social justice in their STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson planning during the project and (b) In what ways did teachers’ designed lessons change from the beginning of the workshop? 

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