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Physical Sciences and Mathematics

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The University of Maine

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New Methodologies For Examining And Supporting Student Reasoning In Physics, John C. Speirs May 2019

New Methodologies For Examining And Supporting Student Reasoning In Physics, John C. Speirs

Electronic Theses and Dissertations

Learning how to reason productively is an essential goal of an undergraduate education in any STEM-related discipline. Many non-physics STEM majors are required to take introductory physics as part of their undergraduate programs. While certain physics concepts and principles may be of use to these students in their future academic careers and beyond, many will not. Rather, it is often expected that the most valuable and longlasting learning outcomes from a physics course will be a repertoire of problem-solving strategies, a familiarity with mathematizing real-world situations, and the development of a strong set of qualitative inferential reasoning skills.

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A Reorganization In The Continuity Of Subject Matter In Mathematics, Beryl E. Warner Jun 1940

A Reorganization In The Continuity Of Subject Matter In Mathematics, Beryl E. Warner

Electronic Theses and Dissertations

This thesis considers a reorganization in the order of arrangement of certain topics in elementary and undergraduate mathematics; i.e. , arithmetic, algebra, plane geometry, solid geometry, trigonometry, analytic geometry, and calculus. Two terms important in the discussion are reorganization, the process of changing the relative position of topics or proofs in mathematics to an earlier or later place in the development of subject matter, and continuity, the logical order of topics arranged according to the need of one to explain the other.

The purpose of the thesis is two-fold; First, to show what arrangement of topics may be desirable; and, …