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Journal of Mathematics and Science: Collaborative Explorations
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Reconciling Calculus Students’ Understanding Of Average Across Multiple Contexts, Franklin Yu
Reconciling Calculus Students’ Understanding Of Average Across Multiple Contexts, Franklin Yu
Journal of Mathematics and Science: Collaborative Explorations
The idea of average is utilized in a variety of scenarios, yet the literature has indicated that students have multiple disconnected understandings for the concept of average. In this study, I provide an account of two students who reconciled their meanings for average by considering an average as a replacement with a constant value. This report discusses an intervention that teachers can leverage to help their students make their meanings for average coherent and conceptually based.
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Journal of Mathematics and Science: Collaborative Explorations
In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem- and project-based learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a high-quality problem should have. We conclude with an example of a problem that possesses all seven properties.
Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean
Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean
Journal of Mathematics and Science: Collaborative Explorations
With overall positive results and limited drawbacks, I have adapted modern pedagogical techniques to address a common difficulty encountered when teaching a computer networks course. Due to the tiered nature of the skills taught in the course, students often fail unnecessarily. Using mastery learning, competency-based education, and specifications grading as a foundation, I have developed a course that allows students with varied skills and abilities to pass. The heart of this approach is the flexible assessment of programming assignments which eliminates due dates and allows students to have their work graded and regraded without penalty. Flexible assessment also defines an …
Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner
Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner
Journal of Mathematics and Science: Collaborative Explorations
This paper describes the creation of a collaborative research team investigating the impacts of education preparation on the recruitment and retention of science and mathematics teacher candidates in rural settings. Our collaborative research includes a core leadership team across 3 institutions and with collaboration across 14 total universities. We discuss the process from the inception through year two of this program, including the structure of leadership, communication techniques with the large group, and efforts to translate this research into scalable action. Using a framework for transdisciplinary research (Hall et al., 2012), we describe the processes and challenges that we encountered …