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1. Reasoning about Equations with Tape Diagrams: Insights from Math Teachers and College Students

   https://doi.org/https://doi.dx.org/10.22318/icls2021.685  

   Bartel, A. N. ; Silla, E. M. ; Vest, N. A. ; Nagashima, T. ; Aleven, V. ; Alibali, M. W. ( January 2021 , Proceedings of the 15th International Conference of the Learning Sciences - ICLS 2021)

   de Vries, E. ; Hod, Y. ; Ahn, J. (Ed.)

   Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the constant) differentially support reasoning about equations and whether people have preferences for certain visual features. Variations in visual features did not affect students’ or teachers’ reasoning accuracy; but each group displayed systematic preferences for most visual features considered. Future research should examine the effects of these visual features on performance while solving equations. 

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2. Reasoning about equations with tape diagrams: Insights from math teachers and college students

   https://doi.org/10.22318/icls2021.685  

   Bartel, A. N. ; Silla, E. M. ; Vest, N. A. ; Nagashima, T. ; Aleven, V. ; Alibali, M. W. ( January 2021 , Proceedings of the 15th International Conference of the Learning Sciences - ICLS 2021)

   de Vries, E. ; Hod, Y. ; Ahn, J. (Ed.)

   Research has shown that tape diagrams are beneficial for algebra learning. However, it is unclear whether certain visual features of tape diagrams have implications for learning. We investigated, with undergraduate students and math teachers, whether tape diagrams with different visual features (color, presence of outer lines, and position of the constant) differentially support reasoning about equations and whether people have preferences for certain visual features. Variations in visual features did not affect students’ or teachers’ reasoning accuracy; but each group displayed systematic preferences for most visual features considered. Future research should examine the effects of these visual features on performance while solving equations. 

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3. Toward Benchmarking Student Progress in Mechanics: Assessing Learning Cycles through Mastery Learning and Concept Questions

   Papadopoulos, C. ; Santiago-Román, A. I. ; Hillman, E. F. ; Figueroa, G. L. ; Vega Morales, I. ( July 2021 , ASEE Virtual Annual Conference)

   null (Ed.)

   In mechanics, the standard 3-credit, 45-hour course is sufficient to deliver standard lectures with prepared examples and questions. Moreover, it is not only feasible, but preferable, to employ any of a variety of active learning and teaching techniques. Nevertheless, even when active learning is strategically used, students and instructors alike experience pressure to accomplish their respective learning and teaching goals under the constraints of the academic calendar, raising questions as to whether the allocated time is sufficient to enable authentic learning. One way to assess learning progress is to examine the learning cycles through which students attempt, re-think, and re-attempt their work. This article provides data to benchmark the time required to learn key Statics concepts based on results of instruction of approximately 50 students in a Statics class at a public research university during the Fall 2020 semester. Two parallel techniques are employed to foster and understand student learning cycles. • Through a Mastery Based Learning model, 15 weekly pass/fail “Mastery Tests” are given. Students who do not pass may re-test with a different but similar test on the same topic each week until the semester’s conclusion. The tests are highly structured in that they are well posed and highly focused. For example, some tests focus only on drawing Free Body Diagrams, with no equations or calculations. Other tests focus on writing equilibrium equations from a given Free Body Diagram. Passing the first six tests is required to earn the grade of D; passing the next three for C; the next three for B; and the final three for A. Evaluations include coding of student responses to infer student reasoning. Learning cycles occur as students repeat the same topics, and their progress is assessed by passing rates and by comparing evolving responses to the same test topics. • Concept Questions that elicit qualitative responses and written explanations are deployed at least weekly. The learning cycle here consists of students answering a question, seeing the overall class results (but without the correct answer), having a chance to explore the question with other students and the instructor, and finally an opportunity to re-answer the same question, perhaps a few minutes or up to a couple days later. Sometimes, that same question is given a third time to encourage further effort or progress. To date, results from both cycles appear to agree on one important conclusion: the rate of demonstrated learning is quite low. For example, each Mastery Test has a passing rate of 20%-30%, including for students with several repeats. With the Concept Questions, typically no more than half of the students who answered incorrectly change to the correct answer by the time of the final poll. The final article will provide quantitative and qualitative results from each type of cycle, including tracking coded responses on Mastery Tests, written responses on Concept Questions, and cross-comparisons thereof. Additional results will be presented from student surveys. Since the Mastery Tests and Concept Questions follow typical Statics topics, this work has potential to lead to a standardized set of benchmarks and standards for measuring student learning – and its rate – in Statics. 

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4. Connecting Activity Implementation Characteristics to Student Buy-In Toward and Utilization of Formative Assessments Within Undergraduate Biology Courses

   https://doi.org/10.1007/s41979-021-00054-2  

   Brazeal, Kathleen R. ; Brown, Tanya L. ; Couch, Brian A. ( December 2021 , Journal for STEM Education Research)

   Abstract While formative assessments (FAs) can facilitate learning within undergraduate STEM courses, their impact likely depends on many factors, including how instructors implement them, whether students buy-in to them, and how students utilize them. FAs have many different implementation characteristics, including what kinds of questions are asked, whether questions are asked before or after covering the material in class, how feedback is provided, how students are graded, and other logistical considerations. We conducted 38 semi-structured interviews with students from eight undergraduate biology courses to explore how various implementation characteristics of in-class and out-of-class FAs can influence student perceptions and behaviors. We also interviewed course instructors to provide context for understanding student experiences. Using thematic analysis, we outlined various FA implementation characteristics, characterized the range of FA utilization behaviors reported by students, and identified emergent themes regarding the impact of certain implementation characteristics on student buy-in and utilization. Furthermore, we found that implementation characteristics have combined effects on student engagement and that students will tolerate a degree of “acceptable discomfort” with implementation features that contradict their learning preferences. These results can aid instructor reflection and guide future research on the complex connections between activity implementation and student engagement within STEM disciplines. 

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5. Investigating Student Perceptions of Transformational Intent and Classroom Culture in Organic Chemistry Courses

   https://doi.org/10.1039/D2RP00010E  

   Bowen, R. ; A. Flaherty, A. ; M. Cooper, M. ( March 2022 , Chemistry Education Research and Practice)

   Within chemistry education, there are various curricular and pedagogical approaches that aim to improve teaching and learning in chemistry. Efforts to characterize these transformations have primarily focused on student reasoning and performance, and little work has been done to explore student perceptions of curricular and pedagogical transformations and whether these perceptions align with the transformational intent. To complement our previous work on the Organic Chemistry, Life, the Universe, and Everything (OCLUE) curriculum, we developed this exploratory study to determine if students had perceived the goals of the transformation. As in our previous research on OCLUE, we compared perceptions between OCLUE and a more traditional organic chemistry course. Using inductive and deductive qualitative methodologies, we analyzed student responses to three open-eneded questions focused on how students perceived they were expected to think, what they found most difficult, and how they perceived they were assessed. The findings were classified into three superodinate themes: one where students perceived they were expected to learn things as rote knowledge, such as memorization (“Rote Knowledge”), another where students perceived they were expected to use their knowledge (“Use of Knowledge”), and responses that used vague, generalized language, were uninformative, or did not address the questions asked (“Other”). Students in these two courses responded very differently to the open-ended questions with students in OCLUE being more likely to perceive they were expected to use their knowledge, while students in the traditional course reported rote learning or memorization more frequently. As the findings evolved, our interpretations and discussions were influenced by sociocultural perspectives and other cultural frameworks. We believe this approach can provide meaningful insights into transformational intent and certain features of classroom cultures. 

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