Batman Reimagined

2020 ◽  
Vol 113 (6) ◽  
pp. 497-511
Author(s):  
Jerome A. White
Keyword(s):  
Graphing Calculators ◽  
Analytic Geometry ◽  
Parametric Equation

Inspired by the “Batman Equation” of 2011, this article presents a challenging and engaging process for graphing complicated designs from just a single parametric equation pair. Reinforces numerous analytic geometry skills. Works in popular graphing software such as Desmos or GeoGebra, or even graphing calculators.

A Rational Equation of State for Water and Water Vapor in the Critical Region

1964 ◽  
Vol 86 (3) ◽  
pp. 320-326 ◽  
Author(s):  
E. S. Nowak
Keyword(s):  
Water Vapor ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Critical Point ◽  
Critical Region ◽  
Constant Pressure ◽  
Parametric Equation ◽  
Enthalpy And Entropy ◽  
Specific Volumes

A parametric equation of state was derived for water and water vapor in the critical region from experimental P-V-T data. It is valid in that part of the critical region encompassed by pressures from 3000 to 4000 psia, specific volumes from 0.0400 to 0.1100 ft3/lb, and temperatures from 698 to 752 deg F. The equation of state satisfies all of the known conditions at the critical point. It also satisfies the conditions along certain of the boundaries which probably separate “supercritical liquid” from “supercritical vapor.” The equation of state, though quite simple in form, is probably superior to any equation heretofore derived for water and water vapor in the critical region. Specifically, the deviations between the measured and computed values of pressure in the large majority of the cases were within three parts in one thousand. This coincides approximately with the overall uncertainty in P-V-T measurements. In view of these factors, the author recommends that the equation be used to derive values for such thermodynamic properties as specific heat at constant pressure, enthalpy, and entropy in the critical region.

The Role of Situational Context in High School Teachers Use of Graphing Calculator in Mathematics Instruction

2016 ◽  
Vol 6 (2) ◽  
pp. 29-45
Author(s):  
Francis Nzuki
Keyword(s):  
Mathematics Instruction ◽  
Graphing Calculators ◽  
Graphing Calculator ◽  
Structured Interviews ◽  
Equity Issues ◽  
Teachers Perceptions ◽  
Teacher Student ◽  
Mediating Tools ◽  
Student Subject

By taking into consideration the significance of the socio-economic contexts, this research investigates teachers' perceptions of the role of graphing calculators, as mediating tools, to help facilitate mathematics instruction of students from two different SES backgrounds. The main source of data are in-depth semi-structured interviews with four teachers, two from each SES school. In general, the participants' perceptions of the role of the graphing calculator were dependent on the context within which it was used. Also, the participants played a crucial role in determining the nature of graphing calculator use with the low-SES school's participants appearing not to involve their students in lessons that capitalized on the powerful characteristics of graphing calculators. To tease out the role of the situation context, a four-component framework was conceptualized consisting of teacher, student, subject matter, and graphing calculator use. The components of the framework were taken to be continuously in interaction with one another implying that a change or perturbation in one of the components affected all the other components. The continuous interactions of the components of this framework suggest that equity issues in connection to the nature of graphing calculator use should be an ongoing process that is continuously locating strategies that will afford all students appropriate access and use of graphing calculators.

Introduction to Trigonometry and Analytic Geometry.

1933 ◽  
Vol 40 (4) ◽  
pp. 237
Author(s):  
B. P. Gill ◽  
Ernest Brown Skinner
Keyword(s):  
Analytic Geometry

Analytic Geometry

1916 ◽  
Vol 8 (125) ◽  
pp. 323
Author(s):  
H. B. Phillips
Keyword(s):  
Analytic Geometry

scholarly journals Analytic Geometry

1921 ◽  
Vol 10 (154) ◽  
pp. 345
Author(s):  
Maria M. Roberts ◽  
Julia T. Colpitts
Keyword(s):  
Analytic Geometry
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