Math and Math-in-School: Changes in the Treatment of the Function Concept in Twentieth Century Secondary Algebra Textbooks

The exercises found in the chapters on function in five American textbooks (each taken from different twenty-year spans of the twentieth century) were analyzed using Mesa's (2000) coding scheme. Problems were analyzed based on the context, the operations needed to solve the problem, the representations used, and the control structures (or checks) available to the students. This analysis allowed for the identification of trends across time. These trends were compared to trends in the concept of function in the mathematics discipline and trends in recommendations for mathematics education. This analysis was undertaken to address three basic research questions. First, is there evidence of change in the treatment of function in school algebra across time? Second, how do any changes that exist in the texts correlate with recommendations for mathematics education? And third, how do changes in the texts correlate with the developments of the function concept in the mathematics discipline

Multi-campus DPT Programmatic Development in a Public University: Leadership Considerations

Background/Purpose: Institutional pressure for expanded revenue streams, coupled with workforce development needs to insure patient access of health resources both drive programmatic expansion of healthcare education programs across multiple campus sites. Such expansion is predicated on deliberate planning and resource acquisition for effective course delivery and successful programmatic outcomes. The University of Nebraska Medical Center’s College of Allied Health Professions opened a second campus site in 2016, located 185 miles from the main campus and the urban corridor of the state. The Doctor of Physical Therapy (DPT) program (and four additional allied health professions) modified traditional course delivery to create a synchronous learning environment, with core and adjunct faculty members actively engaged on both campuses. This administrative case report describes areas of critical consideration for faculty and administrators when expanding DPT programs across multiple sites. Strategies associated with successful implementation are addressed. Case Description. The process of program expansion and implementation are outlined, including challenges, subsequent actions, and successful strategies. Critical elements of program planning and implementation are categorized in the context of: Essential Infrastructure, Essential Functions, and identification of Essential Outcomes to provide evidence that the distance-based curriculum effectively addresses student learning needs. Outcomes: Key considerations related to “essential infrastructure: include resources such as: Administrative/leadership support; community engagement and relationships; qualified personnel; space; equipment; and basic technology (including deployment of a “STAT” team of student technology assistants). “Essential functions” include: Changes associated with the admission process and messaging; curriculum modifications; instructional design assistance; reformulated interprofessional education and practice experiences; faculty development and scholarship, and the serious need to empanel a bi-campus faculty “response team” for vigilance in pragmatic detail and parity of learning experiences. “Essential Outcomes” address the critical focus of protecting a singular program concept from shifting to an asynchronous, satellite format, as well as describing assessment strategies at various levels within the institution. Discussion: The ability to maintain quality brand reputation during multi-campus expansion of a DPT program requires the leverage of resources and talent from multiple and varied stakeholders. This administrative case report describes essential factors that must be deliberately addressed by campus administrators and faculty for successful implementation and outcomes

A keystone of contention: the Earldom of Ross, 1215-1517

The earldom of Ross was a dominant force in medieval Scotland. This was primarily due to its strategic importance as the northern gateway into the Hebrides to the west, and Caithness and Sutherland to the north. The power derived from the earldom’s strategic situation was enhanced by the status of its earls. From 1215 to 1372 the earldom was ruled by an uninterrupted MacTaggart comital dynasty which was able to capitalise on this longevity to establish itself as an indispensable authority in Scotland north of the Forth. By the fifteenth century the earldom had passed to an equally powerful dynasty, the MacDonald lords of the Isles, and became a part of one of the most powerful regional hegemonies of medieval Scotland. The earldom and the power of its earls are acknowledged by most scholars, yet it remains a relatively under-analysed subject, as scholarship tends to gravitate towards viewing Ross through the MacDonald lordship of the Isles, or through the Scottish kings. This has led to Ross being treated as a secondary subject. Moreover, little has been done to compare the two principal dynasties that ruled the earldom and explore issues of continuity between the two. This thesis will study Ross through the comital dynasties that ruled it and the important local magnates within it, and will provide a Ross-centred platform from which to analyse the political development of the earldom. The thesis will also address issues of continuity, beginning with the origins of the Mac ant t-sagairt earldom and trace its political evolution until the MacDonald claim to Ross was finally extinguished in the early sixteenth century. This thesis will be the first long duree study of this Scottish earldom, and will increase our understanding of Ross and its earls who were so vital to Scotland’s medieval history

Westerville Jaycee Pool

Due to low attendance and poor community support, the owner of the Westerville Jaycee (WJC) Swimming Pool considered permanently closing this facility two years ago. The goal of this project was to increase awareness for WJC and draw attention to the property itself. By setting objectives to improve the landscaping conditions, and creating a social media presence for WJC, we hoped to achieve these goals. To meet these objectives, the team created a WJC Twitter account, and asked that friends and family like and share their preexisting Facebook page. Our team also contacted several companies to inquire about landscaping donations. We were successful in setting a date to mulch and plant flowers with The Grounds Guys of Westerville at WJC. An evaluation of our success was determined by an increase in Twitter followers, and also by management’s satisfaction with our work at the property. In regards to our evaluation standards, our results were successful. The legacy we hope to leave behind is a property that WJC can be proud of, as they are an important asset to the Westerville Community. We hope that our creation of a social media presence will help them reach out to new age groups. By the end of our project, WJC was able to strengthen its ties within the community, by forming a relationship The Grounds Guys of Westerville. Our recommendations for the continuation of this project would be to obtain a boulder that WJC can use as a landscaping piece for the front lawn

The Not-So Noble Lie: The Militarization of the Japanese Population Through Education

https://scholarworks.moreheadstate.edu/student_scholarship_posters/1109/thumbnail.jp

Evidence for He I 10830 \AA~ absorption during the transit of a warm Neptune around the M-dwarf GJ 3470 with the Habitable-zone Planet Finder

Understanding the dynamics and kinematics of out-flowing atmospheres of hot and warm exoplanets is crucial to understanding the origins and evolutionary history of the exoplanets near the evaporation desert. Recently, ground based measurements of the meta-stable Helium atom's resonant absorption at 10830 \AA~has become a powerful probe of the base environment which is driving the outflow of exoplanet atmospheres. We report evidence for the He I 10830 \AA~in absorption (equivalent width $\sim$ $0.012 \pm 0.002$ \AA) in the exosphere of a warm Neptune orbiting the M-dwarf GJ 3470, during three transits using the Habitable Zone Planet Finder (HPF) near infrared spectrograph. This marks the first reported evidence for He I 10830 \AA\, atmospheric absorption for a planet orbiting an M-dwarf. Our detected absorption is broad and its blueshifted wing extends to -36 km/sec, the largest reported in the literature to date. We modelled the state of Helium atoms in the exosphere of GJ3470b based on assumptions on the UV and X-ray flux of GJ 3470, and found our measurement of flux-weighted column density of meta-stable state Helium $(N_{He^2_3S} = 2.4 \times 10^{10} \mathrm{cm^{-2}})$, derived from our transit observations, to be consistent with model, within its uncertainties. The methodology developed here will be useful to study and constrain the atmospheric outflow models of other exoplanets like GJ 3470b which are near the edge of the evaporation desert.Comment: Accepted in Ap

The McDonald Accelerating Stars Survey (MASS): White Dwarf Companions Accelerating the Sun-like Stars 12 Psc and HD 159062

We present the discovery of a white dwarf companion to the G1 V star 12 Psc found as part of a Keck adaptive optics imaging survey of long-term accelerating stars from the McDonald Observatory Planet Search Program. Twenty years of precise radial-velocity monitoring of 12 Psc with the Tull Spectrograph at the Harlan J. Smith telescope reveals a moderate radial acceleration ($\approx$10 m s$^{-1}$ yr $^{-1}$), which together with relative astrometry from Keck/NIRC2 and the astrometric acceleration between $Hipparcos$ and $Gaia$ DR2 yields a dynamical mass of $M_B$ = 0.605$^{+0.021}_{-0.022}$ $M_{\odot}$ for 12 Psc B, a semi-major axis of 40$^{+2}_{-4}$ AU, and an eccentricity of 0.84$\pm$0.08. We also report an updated orbit fit of the white dwarf companion to the metal-poor (but barium-rich) G9 V dwarf HD 159062 based on new radial velocity observations from the High-Resolution Spectrograph at the Hobby-Eberly Telescope and astrometry from Keck/NIRC2. A joint fit of the available relative astrometry, radial velocities, and tangential astrometric acceleration yields a dynamical mass of $M_B$ = 0.609$^{+0.010}_{-0.011}$ $M_{\odot}$ for HD 159062 B, a semi-major axis of 60$^{+5}_{-7}$ AU, and preference for circular orbits ($e$$<$0.42 at 95% confidence). 12 Psc B and HD 159062 B join a small list of resolved "Sirius-like" benchmark white dwarfs with precise dynamical mass measurements which serve as valuable tests of white dwarf mass-radius cooling models and probes of AGB wind accretion onto their main-sequence companions.Comment: Accepted to A

The McDonald Accelerating Stars Survey (MASS): White Dwarf Companions Accelerating the Sun-like Stars 12 Psc and HD 159062

We present the discovery of a white dwarf companion to the G1 V star 12 Psc found as part of a Keck adaptive optics imaging survey of long-term accelerating stars from the McDonald Observatory Planet Search Program. Twenty years of precise radial-velocity monitoring of 12 Psc with the Tull Spectrograph at the Harlan J. Smith telescope reveals a moderate radial acceleration (≈10 m s⁻¹ yr ⁻¹), which together with relative astrometry from Keck/NIRC2 and the astrometric acceleration between Hipparcos and Gaia DR2 yields a dynamical mass of M_B = 0.605^(+0.021)_(−0.022) M ⊙ for 12 Psc B, a semimajor axis of 40⁺²₋₄ au, and an eccentricity of 0.84 ± 0.08. We also report an updated orbital fit of the white dwarf companion to the metal-poor (but barium-rich) G9 V dwarf HD 159062 based on new radial-velocity observations from the High-Resolution Spectrograph at the Hobby–Eberly Telescope and astrometry from Keck/NIRC2. A joint fit of the available relative astrometry, radial velocities, and tangential astrometric acceleration yields a dynamical mass of M_B = 0.609^(+0.010)_(−0.011) M⊙ for HD 159062 B, a semimajor axis of 60⁺⁵₋₇ au, and preference for circular orbits (e < 0.42 at 95% confidence). 12 Psc B and HD 159062 B join a small list of resolved Sirius-like benchmark white dwarfs with precise dynamical mass measurements which serve as valuable tests of white dwarf mass–radius cooling models and probes of AGB wind accretion onto their main-sequence companions

Self-assembly of Janus Dumbbell Nanocrystals and Their Enhanced 2 Surface Plasmon Resonance

Self-assembly is a critical process that can greatly expand the existing structures and lead to new functionality of nanoparticle systems. Multicomponent superstructures self-assembled from nanocrystals have shown promise as multifunctional materials for various applications. Despite recent progress in assembly of homogeneous nanocrystals, synthesis and self-assembly of Janus nanocrystals with contrasting surface chemistry remains a significant challenge. Herein, we designed a novel Janus nanocrystal platform to control the self-assembly of nanoparticles in aqueous solutions by balancing the hydrophobic and hydrophilic moieties. A series of superstructures have been assembled by systematically varying the Janus balance and assembly conditions. Janus Au–Fe3O4 dumbbell nanocrystals (\u3c20 nm) were synthesized with the hydrophobic ligands coated on the Au lobe and negatively charged hydrophilic ligands coated on the Fe3O4 lobe. We systematically fine-tune the lobe size ratio, surface coating, external conditions, and even additional growth of Au nanocrystal domains on the Au lobe of dumbbell nanoparticles (Au–Au–Fe3O4) to harvest self-assembly structures including clusters, chains, vesicles, and capsules. It was discovered that in all these assemblies the hydrophobic Au lobes preferred to stay together. In addition, these superstructures clearly demonstrated different levels of enhanced surface plasmon resonance that is directly correlated with the Au coupling in the assembly structure. The strong interparticle plasmonic coupling displayed a red-shift in surface plasmon resonance, with larger structures formed by Au–Au–Fe3O4 assembly extending into the near-infrared region. Self-assembly of Janus dumbbell nanocrystals can also be reversible under different pH values. The biphasic Janus dumbbell nanocrystals offer a platform for studying the novel interparticle coupling and open up opportunities in applications including sensing, disease diagnoses, and therapy