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Juan Antonio Martinez-Carrascal; Jorge Munoz-Gama; Teresa Sancho-Vinuesa – IEEE Transactions on Learning Technologies, 2024
Academic institutions dedicate a substantial effort to ensure the academic success of their students. At the course level, teachers recommend learning paths (RLPs) for students to guarantee the achievement of their learning outcomes. In terms of performance, these kinds of approaches are deemed more effective than others based uniquely on…
Descriptors: Online Courses, Mathematics Instruction, Undergraduate Students, Mathematics Achievement
Cheryl L. Engel – ProQuest LLC, 2024
The evolution of U.S. secondary school mathematics requirements throughout the 20th century included a significant shift towards more rigorous standards by the end of the century. Initially, many states required minimal or no mathematics for high school graduation. However, reforms led most states to adopt a 3-year mathematics requirement, with…
Descriptors: Middle School Students, Mathematics Instruction, STEM Education, Acceleration (Education)
Dray, Tevian; Manogue, Corinne A. – International Journal of Research in Undergraduate Mathematics Education, 2023
"Representational transformation diagrams" are used to compare and contrast standard textbook presentations of vector line integrals in undergraduate courses in both mathematics and physics. These presentations are taken as the lower anchor in a learning trajectory. Two principal approaches in the lower division are identified, roughly…
Descriptors: Visual Aids, Teaching Methods, Science Instruction, Comparative Analysis
Pavel Chernyavskiy; Traci S. Kutaka; Carson Keeter; Julie Sarama; Douglas Clements – Grantee Submission, 2024
When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…
Descriptors: Bayesian Statistics, Mathematics Instruction, Learning Trajectories, Item Response Theory