Matching Items (353)
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- All Subjects: Clarinet and piano music
- All Subjects: Flute and piano music
- Creators: Novak, Gail (Pianist)
ContributorsKierum, Caitlin (Contributor) / Novak, Gail (Pianist) (Performer) / Liang, Jack (Performer) / ASU Library. Music Library (Publisher)
Created2018-04-11
Description
This dissertation describes an investigation of four students' ways of thinking about functions of two variables and rate of change of those two-variable functions. Most secondary, introductory algebra, pre-calculus, and first and second semester calculus courses do not require students to think about functions of more than one variable. Yet vector calculus, calculus on manifolds, linear algebra, and differential equations all rest upon the idea of functions of two (or more) variables. This dissertation contributes to understanding productive ways of thinking that can support students in thinking about functions of two or more variables as they describe complex systems with multiple variables interacting. This dissertation focuses on modeling the way of thinking of four students who participated in a specific instructional sequence designed to explore the limits of their ways of thinking and in turn, develop a robust model that could explain, describe, and predict students' actions relative to specific tasks. The data was collected using a teaching experiment methodology, and the tasks within the teaching experiment leveraged quantitative reasoning and covariation as foundations of students developing a coherent understanding of two-variable functions and their rates of change. The findings of this study indicated that I could characterize students' ways of thinking about two-variable functions by focusing on their use of novice and/or expert shape thinking, and the students' ways of thinking about rate of change by focusing on their quantitative reasoning. The findings suggested that quantitative and covariational reasoning were foundational to a student's ability to generalize their understanding of a single-variable function to two or more variables, and their conception of rate of change to rate of change at a point in space. These results created a need to better understand how experts in the field, such as mathematicians and mathematics educators, thinking about multivariable functions and their rates of change.
ContributorsWeber, Eric David (Author) / Thompson, Patrick (Thesis advisor) / Middleton, James (Committee member) / Carlson, Marilyn (Committee member) / Saldanha, Luis (Committee member) / Milner, Fabio (Committee member) / Van de Sande, Carla (Committee member) / Arizona State University (Publisher)
Created2012
ContributorsCoffey, Brennan (Performer) / Novak, Gail (Pianist) (Performer) / ASU Library. Music Library (Publisher)
Created2021-04-26
ContributorsBreeden, Katherine (Performer) / German, Lindsey (Performer) / Novak, Gail (Pianist) (Performer) / ASU Library. Music Library (Publisher)
Created2018-04-13
Description
ABSTRACT Many musicians, both amateur and professional alike, are continuously seeking to expand and explore their performance literature and repertory. Introducing new works into the standard repertory is an exciting endeavor for any active musician. Establishing connections, commissioning new works, and collaborating on performances can all work together toward the acceptance and success of a composer's music within an instrument community. For the flute, one such composer is Daniel Dorff (b. 1956). Dorff, a Philadelphia-based composer, has written for symphony orchestra, clarinet, contrabassoon, and others; however, his award-winning works for flute and piccolo are earning him much recognition. He has written works for such illustrious flutists as Mimi Stillman, Walfrid Kujala, and Gary Schocker; his flute works have been recorded by Laurel Zucker, Pamela Youngblood and Lois Bliss Herbine; and his pieces have been performed and premiered at each of the National Flute Association Conventions from 2004 to 2009. Despite this success, little has been written about Dorff's life, compositional style, and contributions to the flute repertory. In order to further promote the flute works of Daniel Dorff, the primary focus of this study is the creation of a compact disc recording of Dorff's most prominent works for flute: April Whirlwind, 9 Walks Down 7th Avenue, both for flute and piano, and Nocturne Caprice for solo flute. In support of this recording, the study also provides biographical information regarding Daniel Dorff, discusses his compositional methods and ideology, and presents background information, description, and performance notes for each piece. Interviews with Daniel Dorff regarding biographical and compositional details serve as the primary source for this document. Suggestions for the performance of the three flute works were gathered through interviews with prominent flutists who have studied and performed Dorff's pieces. Additional performance suggestions for Nocturne Caprice were gathered through a coaching session between the author and the composer. This project is meant to promote the flute works of Daniel Dorff and to help establish their role in the standard flute repertory.
ContributorsRich, Angela Marie (Contributor) / Novak, Gail (Pianist) (Performer) / Buck, Elizabeth Y (Thesis advisor) / Hill, Gary W. (Committee member) / Holbrook, Amy (Committee member) / Schuring, Martin (Committee member) / Arizona State University (Publisher)
Created2010
ContributorsMcNamara, Henry (Performer) / Novak, Gail (Pianist) (Performer) / Chea, Alexandra (Performer) / Biswas, Debashis (Performer) / Moreno, Dylan (Performer) / Schay, Adam (Performer) / Meatheads Quartet (Performer) / ASU Library. Music Library (Publisher)
Created2022-02-28
ContributorsWarren, Alexia (Performer) / Novak, Gail (Pianist) (Performer) / ASU Library. Music Library (Publisher)
Created2022-10-30
ContributorsGardner, Joshua (Performer) / Novak, Gail (Pianist) (Performer) / Pan, Tiffany (Performer) / Murphy, Patrick (Performer) / Gardner, Stefanie (Performer) / Kluesener, Joseph (Performer) / Egide Duo (Performer) / Paradise Winds (Performer) / ASU Library. Music Library (Publisher)
Created2022-09-04
ContributorsPayne, Kayla (Performer) / Payne, Jared (Performer) / Lupe, Samuel (Performer) / Novak, Gail (Pianist) (Performer) / Castro, Jose (Performer) / Berg, Abby (Performer) / Grubbs, Molly (Performer) / Mecca, Ryan (Performer) / Hernandez, Benjamin (Performer) / Hannon, Mikaela (Performer) / Shen, Yian (Performer) / Moon-Earle, Hanna (Performer) / Kiso, Claudia (Performer) / Peterson, Danielle (Performer) / ASU Library. Music Library (Publisher)
Created2023-04-23
ContributorsGardner, Joshua (Performer) / Novak, Gail (Pianist) (Performer) / Gardner, Stefanie (Performer) / Spring, Robert (Performer) / Pan, Tiffany (Performer) / Murphy, Patrick (Performer) / Kluesener, Joseph (Performer) / Egide Duo (Performer) / Paradise Winds (Performer) / ASU Library. Music Library (Publisher)
Created2023-09-10