Abstract:The final copy of this thesis has been examined by the signatories, and we Find that both the content and the form meet acceptable presentation standards Of scholarly work in the above mentioned discipline. v
“…The results presented here demonstrate that student fluency with applied mathematics (vector mathematics and calculus) may be improved by using a calculus-enhanced energy-first curriculum [17] in introductory physics. We also note that since this curriculum can be implemented independently of established successful approaches of content delivery [2][3][4], it can complement these approaches rather than compete with them. However, this modification in content may be easier to implement than some modifications in content delivery as not all institutions have available the modified classroom space necessary for inquiry-based instruction [7,8] or resources for successful implementation of peer instruction ] 5,6 ].…”
Section: Discussionmentioning
confidence: 99%
“…It is therefore not surprising that continually increasing enrollments in STEM degree programs [1] have only intensified the need for physics education research (PER) into improving instruction in these courses. The clear conclusion from numerous PER studies over the past two decades [2][3][4] is that student learning and overall student performance in both algebra-based and calculus-based introductory physics courses can be improved by incorporating active learning techniques such as Peer Instruction [5,6] or inquiry-based instruction [7,8] into the classroom. Here we demonstrate that further improvement in student learning in calculus-based introductory physics may be obtained by supplementing these modifications of content delivery with a rearrangement of the content itself.…”
Here we demonstrate the benefits of a new curriculum for introductory calculus-based physics that motivates classical mechanics using a modified version of Hamiltonian mechanics. This curriculum shifts the initial focus of instruction away from forces and the associated vector mathematics, which are known to be problematic for students, to the scalar quantity energy, which is more closely aligned with their previously established intuition, and associated differential and integral calculus. We show that implementation of this calculus-enhanced "energy-first" curriculum resulted in higher normalized gains on the Force Concept Inventory exam for all students and improved performance in downstream engineering courses for students with lower ACT math scores. In other words, the downstream benefits were largest for students with lower math abilities who also pose a larger retention risk. This new curriculum thus has the potential to improve student retention by specifically helping the students who need help the most, including traditionally underserved populations who often have weaker mathematics preparation. We propose future work to investigate whether this new curriculum has lowered the math transference barrier to learning in introductory physics, resulting concomitantly in improvements in student learning of classical mechanics and in student fluency with applied mathematics.
“…The results presented here demonstrate that student fluency with applied mathematics (vector mathematics and calculus) may be improved by using a calculus-enhanced energy-first curriculum [17] in introductory physics. We also note that since this curriculum can be implemented independently of established successful approaches of content delivery [2][3][4], it can complement these approaches rather than compete with them. However, this modification in content may be easier to implement than some modifications in content delivery as not all institutions have available the modified classroom space necessary for inquiry-based instruction [7,8] or resources for successful implementation of peer instruction ] 5,6 ].…”
Section: Discussionmentioning
confidence: 99%
“…It is therefore not surprising that continually increasing enrollments in STEM degree programs [1] have only intensified the need for physics education research (PER) into improving instruction in these courses. The clear conclusion from numerous PER studies over the past two decades [2][3][4] is that student learning and overall student performance in both algebra-based and calculus-based introductory physics courses can be improved by incorporating active learning techniques such as Peer Instruction [5,6] or inquiry-based instruction [7,8] into the classroom. Here we demonstrate that further improvement in student learning in calculus-based introductory physics may be obtained by supplementing these modifications of content delivery with a rearrangement of the content itself.…”
Here we demonstrate the benefits of a new curriculum for introductory calculus-based physics that motivates classical mechanics using a modified version of Hamiltonian mechanics. This curriculum shifts the initial focus of instruction away from forces and the associated vector mathematics, which are known to be problematic for students, to the scalar quantity energy, which is more closely aligned with their previously established intuition, and associated differential and integral calculus. We show that implementation of this calculus-enhanced "energy-first" curriculum resulted in higher normalized gains on the Force Concept Inventory exam for all students and improved performance in downstream engineering courses for students with lower ACT math scores. In other words, the downstream benefits were largest for students with lower math abilities who also pose a larger retention risk. This new curriculum thus has the potential to improve student retention by specifically helping the students who need help the most, including traditionally underserved populations who often have weaker mathematics preparation. We propose future work to investigate whether this new curriculum has lowered the math transference barrier to learning in introductory physics, resulting concomitantly in improvements in student learning of classical mechanics and in student fluency with applied mathematics.
“…These items and codes were triangulated by themes in four comprehensive literature reviews (Pascarella and Terenzini, 1991, 2005; Iverson, 2011; Meltzer and Thornton, 2012). We reduced and revised an initial set of 153 items by removing redundant items, items that did not refer to actual teaching practices (i.e., beliefs about teaching or intent to teach in a given manner), and checklists of generalized practices (e.g., “lecture,” “lecture with demonstration,” “multiple-choice tests”).…”
Section: Methodsmentioning
confidence: 99%
“…For example, Iverson (2011) describes groups formed by students, the teacher, or the researcher as a common social learning approach. As a statement on a survey, this concept would be double-barreled.…”
The Postsecondary Instructional Practices Survey (PIPS) is a valid and reliable measure of self-reported instructional practices of postsecondary instructors, including individuals outside science, technology, engineering, and mathematics. This paper describes the development and validation processes, scoring conventions and results outputs, and applications of the PIPS.
“…Without a model from which to develop instructional practice items, we shaped the dimensions of our instrument by finding themes among (a) developed instruments, (b) teaching observation protocols and (c) patterns in research on instructional practice. We compiled 153 items by combining all available questions and literature patterns from two published instruments (FSSE, ATI), two observational protocols (RTOP, TDOP), and comprehensive literature reviews (Iverson, 2011;Meltzer & Thornton, 2012;Pascarella & Terenzini, 1991;.…”
An electronic version of this book is freely available, thanks to the support of libraries working with Knowledge Unlatched. KU is a collaborative initiative designed to make high-quality books Open Access for the public good. The Open Access ISBN for this book is 978-1-55753-855-0.
Table of ConTenTsForeword ix Carl Wieman xiv ForEWorD This volume shows what a varied and energetic enterprise is underway in transforming institutions toward more effective STEM education and foreshadows great progress in the years to come. It will inspire and guide the reader in joining this enterprise. referenCes Kotter, John P. (1996). Leading change.
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