More Like this

1. Integrating math and science content through covariational reasoning: the case of gravity

   https://doi.org/10.1080/10986065.2020.1814977  

   Panorkou, Nicole ; Germia, Erell Feb ( January 2020 , Mathematical Thinking and Learning)

   null (Ed.)

   Integrating mathematics content into science usually plays a supporting role, where students use their existing mathematical knowledge for solving science tasks without exhibiting any new mathematical meanings during the process. To help students explore the reciprocal relationship between math and science, we designed an instructional module that prompted them to reason covariationally about the quantities involved in the phenomenon of the gravitational force. The results of a whole-class design experiment with sixth-grade students showed that covariational reasoning supported students’ understanding of the phenomenon of gravity. Also, the examination of the phenomenon of gravity provided a constructive space for students to construct meanings about co-varying quantities. Specifically, students reasoned about the change in the magnitudes and values of mass, distance, and gravity as those changed simultaneously as well as the multiplicative change of these quantities as they changed in relation to each other. They also reasoned multivariationally illustrating that they coordinated mass and distance working together to define the gravitational force. Their interactions with the design, which included the tool, tasks, representations, and questioning, showed to be a structuring factor in the formation and reorganization of meanings that students exhibited. Thus, this study illustrates the type of design activity that provided a constructive space for students’ forms of covariational reasoning in the context of gravity. This design can be used to develop other STEM modules that integrate scientific phenomena with covariational reasoning through technology. 

   more » « less
2. Examining the Social Aspect of Climate Change through Mathematics

   https://doi.org/10.1109/ISECon.2019.8882109  

   Basu, Debasmita ; Panorkou, Nicole ; Zhu, Michelle ( March 2019 , 2019 IEEE Integrated STEM Education Conference (ISEC))

   We designed an instructional module that seamlessly integrates mathematics, environmental science, and technology to help students think critically about climate change. The results from a design experiment in a sixth-grade classroom show that our tasks not only enhanced students' covariational reasoning in mathematics but also helped students identify the different traits of climate change they encounter every day in the news media. 

   more » « less
3. Examining the “Messiness” of Transitions Between Related Artifacts

   https://doi.org/10.1007/s40751-022-00112-3  

   Panorkou, Nicole ; York, Toni ; Germia, Erell ( January 2022 , Digital Experiences in Mathematics Education)

   Instructional designs that include two or more artifacts (digital manipulatives, tables, graphs) have shown to support students’ development of reasoning about covarying quantities. However, research often neglects how this development occurs from the student point of view during the interactions with these artifacts. An analysis from this lens could significantly justify claims about what designs really support students’ covariational reasoning. Our study makes this contribution by examining the “messiness” of students’ transitions as they interact with various artifacts that represent the same covariational situation. We present data from a design experiment with a pair of sixth-grade students who engaged with the set of artifacts we designed (simulation, table, and graph) to explore quantities that covary. An instrumental genesis perspective is followed to analyze students’ transitions from one artifact to the next. We utilize the distinction between static and emergent shape thinking to make inferences about their reorganizations of reasoning as they (re-)form a system of instruments that integrates previously developed instruments. Our findings provide an insight into the nature of the synergy of artifacts that offers a constructive space for students to shape and reorganize their meanings about covarying quantities. Specifically, we propose different subcategories of complementarities and antagonisms between artifacts that have the potential to make this synergy productive. 

   more » « less
4. “There are other ways to help besides using the stuff”: Using activity theory to understand dynamic student participation in small group science, technology, engineering, and mathematics activities

   https://doi.org/10.1002/tea.21710  

   Wieselmann, Jeanna R. ; Dare, Emily A. ; Roehrig, Gillian H. ; Ring‐Whalen, Elizabeth A. ( May 2021 , Journal of Research in Science Teaching)

   Integrated approaches to teaching science, technology, engineering, and mathematics (STEM) are increasingly being implemented in elementary and middle school classrooms, and despite a variety of conceptions of integrated STEM, researchers agree that small group activities and teamwork play a central role in STEM learning. However, little is known about how students participate in the small group portions of integrated STEM curricular units. In this study, a microvideo ethnography framed within activity theory was used to examine small group interactions among sixth‐grade students completing integrated STEM activities related to the properties of light. Students working in three different small groups (all‐girl, all‐boy, and mixed‐gender) were included in the analysis. Findings highlight differences in the activity systems across activity type (science vs. engineering) and across small groups, with students focusing on different objectives for completing STEM activities, utilizing different tools as they sought to reach their objectives, and dividing labor differently. Findings from this study suggest that these students, and girls in particular, were less prepared to navigate open‐ended engineering activities than highly structured science activities. Theoretical and practical implications for curriculum development and pedagogical strategies are discussed.

    

   more » « less
5. Board 110: Work in Progress: Elementary Students’ Disciplinary Talk in a Classroom with an Explicit Engineering Decision-making Scaffold

   https://doi.org/10.18260/1-2--32188  

   Batrouny, Nicole ; Miel, Karen ; Wendell, Kristen ( June 2019 , ASEE Conferences)

   While engineering grows as a part of elementary education, important questions arise about the skills and practices we ask of students. Both collaboration and decision making are complex and critical to the engineering design process, but come with social and emotional work that can be difficult for elementary students to navigate. Productive engagement in collaborative teams has been seen to be highly variable; for some teams, interpersonal conflicts move the design process forward, while for others they stall the process. In this work in progress, we are investigating the research question, what is the nature of students’ disciplinary talk during scaffolded decision making? We explore this research question via a case study of one student group in a 4th-grade classroom enrolled in an outreach program run by a private university in a Northeastern city. This program sends pairs of university students into local elementary schools to facilitate engineering in the classroom for one hour per week. This is the only engineering instruction the elementary students receive and the engineering curriculum is planned by the university students. For the implementation examined in this study, the curriculum was designed by two researchers to scaffold collaborative groupwork and decision making. The instruction was provided by an undergraduate and one of the researchers, a graduate student. The scaffolds designed for this semester of outreach include a set of groupwork norms and a decision matrix. The groupwork norms were introduced on the first day of instruction; the instructors read them aloud, proposed groupwork scenarios to facilitate a whole class discussion about whether or not the norms were followed and how the students could act to follow the norms, and provided time for students to practice the norms in their engineering design groups for the first project. For the rest of the semester, an anchor chart of the norms was displayed in the classroom and referenced to encourage consensus. The researchers designed the decision matrix scaffold to encourage design decisions between multiple prototypes based on problem criteria and test results. Instructors modeled the use of this decision matrix on the third day of instruction, and students utilized the matrix in both design projects of the semester. Data sources for this descriptive study include students’ written artifacts, photos of their design constructions, and video records of whole-class and team discourse. We employ qualitative case study and microethnographic analysis techniques to explore the influence of the intentional discourse scaffolds on students’ collaborative and decision-making practices. Our analysis allowed us to characterize the linguistic resources (including the decision matrix) that the students used to complete four social acts during decision making: design evaluation, disagreeing with a teammate, arguing for a novel idea, and sympathizing with a design. This research has implications for the design of instructional scaffolds for engineering curricula at the elementary school level, whether taking place in an outreach program or in regular classroom instruction. 

   more » « less