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  • Mathematical knowledge for teaching proof

    Creator:
    Lesseig, Kristin
    Abstract:
    The purpose of this study was to detail mathematical knowledge that supports the work of teaching proof and to investigate how such knowledge is evidenced in professional development (PD). To advance the construct of mathematical knowledge for teaching (MKT) in the context of proof, I developed a framework of MKT...
    Resource Type:
    Dissertation
    Full Text:
    . Title: Mathematical Knowledge for Teaching Proof. Abstract approved: Rebekah L. Elliott

  • Learning about the Standards for Mathematical Practice: An Investigation of Opportunities within Two Teacher Education Contexts

    Creator:
    Stoddard, Elyssa R.
    Abstract:
    The Common Core State Standards for Mathematical Practice (SMPs) describe ways of thinking and doing mathematics that parallels how mathematicians engage with mathematics (National Governors Association for Best Practices, 2010). These standards reflect a broader goal in K-12 mathematics education focused on moving beyond K-12 learners acquiring knowledge of mathematical...
    Resource Type:
    Dissertation
    Full Text:
    ABSTRACT OF THE DISSERTATION OF Elyssa R. Stoddard for the degree of Doctor of Philosophy in Education

  • Teacher Candidates' Noticing of Instructional Features in the Context of an Ambitious Mathematics Teacher Education Program

    Creator:
    Maluangnont, Sasiwan
    Abstract:
    Teacher noticing is a necessary skill in order for teachers to elicit and respond to their students' mathematical ideas and support the ambitious learning goals of school mathematics. The purpose of this dissertation is to investigate what teacher candidates noticed about their teaching as they were provided supports and opportunities...
    Resource Type:
    Dissertation
    Full Text:
    : _____________________________________________________ Rebekah L. Elliott Teacher noticing is a necessary skill in order for teachers to elicit and

  • The synthesis and electrocyclization of some linear and cross-conjugated hexatrienes

    Creator:
    Hilton, Charles Bruce
    Abstract:
    As part of the continuing investigation of the thermal cis- 1, 3, 5-hexatriene to 1,3-cyclohexadiene rearrangement, four new trienes and a cross-conjugated pentaene have been prepared and their thermal reactions studied. A new route to the synthesis of highly substituted trienes has been developed. The synthesis of three of these...
    Resource Type:
    Dissertation
    Full Text:
    in the literature. Normant and coworkers 55 developed an easy route to vinyl R /H 12 R'Cu + RCSCH

  • Responsive pedagogies of practice : Researching an ambitious secondary mathematics teacher education design

    Creator:
    Campbell, Matthew Paul, 1983-
    Abstract:
    Design in secondary mathematics teacher education must prepare teacher candidates to do the work of ambitious and equitable mathematics teaching with skill by situating development in the work of teaching and incorporating opportunities to investigate and enact teaching. Teacher education designs must also be responsive to the work that mathematics...
    Resource Type:
    Dissertation
    Full Text:
    : ______________________________________________________ Rebekah L. Elliott Design in secondary mathematics teacher education must prepare teacher

  • An Exploratory Study of Mathematics Disciplinary Practices in Advanced Mathematics

    Creator:
    Glover, Erin D.
    Abstract:
    Policy and research have increased attention in K12 mathematics education on core mathematical practices such as argumentation, justification, and proof, that are central to students learning and doing mathematics. One reason for this increased focus is the empirical evidence that engaging students in mathematical practices provide more equitable opportunities for...
    Resource Type:
    Dissertation
    Full Text:
    : ___________________________________________________________ Rebekah L. Elliott Policy and research have increased attention in K12

  • What Do We Mean by "Justice"?: An Examination of How Justice is Conceptualized in K-12 Mathematics Education

    Creator:
    Brunner, Megan E.
    Abstract:
    Issues of injustice in society (e.g. racism, classism, sexism, ableism) are perpetuated in and through educational opportunities, including mathematics learning (Freire, 1970/2000). Those that are committed to disrupting the interlocking systems that create disparities and oppression in mathematics education are considered to be “pursuing justice.” Pursuit of justice can involve...
    Resource Type:
    Dissertation
    Full Text:
    ). Qualitative research design: An interactive approach. SAGE Publications. Norris, S., & Jones, R. H. (Eds

  • Youth-Caseworker Relationships and Academic Resilience of Youth in Foster Care

    Creator:
    Jaramillo, Jamie
    Abstract:
    Academic success is a salient domain of youth development and is related to positive lifelong outcomes among youth in foster care. However, youth in foster care experience compounding adversities, including maltreatment and foster care placement itself, which put them at risk of academic disengagement and underachievement. Despite these adversities, academic...
    Resource Type:
    Dissertation

  • Steroid organoborane reactions

    Creator:
    Byall, Elliott Bruce
    Abstract:
    Steroid organoboranes have been found to be useful synthetic intermediates. Attempted pyrolyses, based on simple trialkylborane cyclizations, have not yielded C-19 or C-18 functionalized steroids, but have produced isomerized systems not otherwise available. Thus, hydroboration of cholesterol followed by pyrolysis at 215° gives 31% of 2-cholestene-6α-ol and 49% of a...
    Resource Type:
    Dissertation
    Full Text:
    with complete utilization of active hydrogen of the diborane molecule (30, 33, 36, 42). R H 6 C=C

  • Spatial evaluation of Lyapunov exponents in Hamiltonian systems

    Creator:
    Stanley, Paul Elliott
    Abstract:
    A new method for evaluating the Lyapunov exponent for a Hamiltonian system involves a spatial evaluation, rather than a numerical time integration. The introduction of a novel vector field to the phase space allows the Lyapunov exponent to be expressed in a form that does not involve time. The Lyapunov...
    Resource Type:
    Dissertation
    Full Text:
    systems AN ABSTRACT OF THE THESIS OF Paul Elliott Stanley for the degree of Doctor of Philosophy in