College Geometry - neutral geometry and Euclidean geometry Essay

College Geometry - neutral geometry and Euclidean geometry - Essay Example It is also termed as neutral geometry because it is neutral in reference to parallel postulate. Other geometries related to hyperbolic geometry, neutral geometry, ordered geometry, among others (Ball, 2008). Differences between neutral geometry and Euclidean geometry Euclidean geometry tends to be axiomatic system; in this case, all is theorems in other terms â€Å"true statements† of derivatives of smaller axioms. In reference to the book by the name Elements, Euclid illustrates five axioms (postulates) as far as plane geometry is concerned. The followi9ng is some of the postulations: 1) The first line should be drawn from any point 2) A finite line should be produced and it should be straight and continuous 3) Right angles are equal 4) A circle is described in reference to the center and its radius 5) In parallel lines, it a straight line meets other two straight lines, and makes an interior angle of which both are less than 900, the two lines can meet if extended on those s ides that they make angles less than right angles (the difference between lines in Euclidean and those of spherical are illustrated in spherical geometry). On the other hand, absolute geometry is more the same as ordered geometry. ... If the intersection points forms interior angles of less than 90, they form the basis for both hyperbolic and spherical geometry. They are both under non-Euclidean geometry where they are attained through the parallel postulates in Euclid. In addition, the postulate can be still be defined that â€Å"in every line 1 and each external point q, there exist unique lines through q that are parallel to 1.† this gives a basis for spherical constructions (Ball 2008). Spherical geometry This is a plane geometry that is on a sphere’s surface; its basic elements are lines and points but are defined in a different way. They are defined in such a way that the shortest distance between any two points runs along the same two points. The sum the angles in this triangle is more than 1800 but small triangles of the same kind are slightly larger than 1800; an ideal example being those in football fields. This is because the base length is not a perfect straight line. See a practical exam ple below. The diagram illustrates the structure of a spherical triangle It lines are also continuous and ends up forming a circle. Lines that run around the geometry making the longest distance are known as â€Å"Great Circles.† Below is an illustration of spherical geometry. The diagram above illustrates how lines are different from those in Euclidean and thus forming Great Circles. The sum of the angles in any triangle is 180 degrees In reference to Euclidean geometry, the parallel postulate when extended makes a three sided diagram that is interior angles sum up to 1800. This is because the subsequent angles are reflections of the points of origin (Eves, 1990). (a) (c) (b) From the diagram above, we can prove that the exterior angle at

Teaching Philosophy Essay -- Education, Higher Education

Teaching Philosophy Stephen Brookfield (2006) defines a teaching philosophy as â€Å"†¦a set of values, beliefs, insights, and convictions about the essential forms and fundamental purposes of teaching† (p. 255). A teaching philosophy should serve to support a teacher and guide his or her actions so that the students’ best interests are always of primary focus. It should also come from within and be an extension of the teacher’s identity. When we consider the difficult environment and circumstances that students face today, the authenticity and actionability of a teaching philosophy is paramount. Students decide to attend college for a variety of reasons, but the essence within these reasons is a desire to grow (Shultz & Higbee, 2007; Cabgrera & La Nasa, 2000). Growth in education has often been defined as accumulating knowledge. This outdated way of thinking about higher education must give way to a different paradigm that focuses on developing the whole student. As our world becomes more connected and complicated, students have an increasing need to reach higher levels of cognitive development. In turn, teachers need to become student centered in their approach. Teachers are no longer tasked with imparting knowledge, but helping students develop abilities to understand and apply knowledge. The increasing needs of our students require an even deeper personal commitment by teachers. Parker Palmer (1998) believes that teaching is a deeply personal activity. I started teaching without much personal consideration. However my dedication to teaching today has grown out of my personal interactions with students. As a result, teaching has become a significant part of my identity. I realize my role in a student’s life is one of a ment... ... fluid and revisited. Dynamic environment demands constant organizational change. Training future business leaders demands a higher level of student analytical ability. Help them construct that through project based learning, dialogical interactions, and cross disciplinary cases. I feel that I am already a good teacher. The question now is how to become a great teacher. Me – I like dialogical – modeling, especially with different topics. ME : Teaching shouldn’t be routine Vaclav Havel (1998), former president of Czechoslovakia and of the Czech Republic, spoke often of seeing the world from a global perspective. Regarding intellectuals, Havel (1998) said, â€Å"Their increased sense of responsibility for this world has not made such intellectuals identify with an ideology; it has made them identify with humanity, with its dignity and its prospects† (p. 208).

Mise-En-Scene in Batman Begins

How is mise-en-scene utilised to convey meaning within Batman Begins (Christopher Nolan, 2005)? Mise-en-scene refers to the director’s control of what appears in the frame. It includes those aspects of film that overlap with the art of the theatre: setting, lighting, costume, and the behaviour of the figures (Bordwell and Thompson, 2008, p. 112). Each of these aspects can be used to convey meaning, whether explicit, implicit or symptomatic. The director controls these aspects, in concert with other film techniques, in an attempt to guide the viewer to make sense of the film in the way the director would like them to.Batman Begins is a Heroes Quest,† a journey that leads to necessary self-discovery and to a climax in which the protagonists make a choice between two worlds in which they may live† (Wade Jennings, 1988, p. 250). â€Å"Setting is a crucial part of film’s expressive capabilities, and because it is subject to the techniques of other aspects of mis e-en-scene it constitutes much more than simply a backdrop for the action of the story† (Speidal, 2007, p. 8) From the skyline and streets of Gotham City, to the Chinese prison and Tibetan monastery, each setting in Batman Begins is recognisable as belonging to our world, or a close facsimile of our world. This conveys the meaning that although Batman Begins is a superhero film, Batman’s world is governed by the same natural laws as ours and we won’t be seeing the kinds of superpowers possessed by the superheroes of other stories. It also infers that the tools we use interpret the world around us can be used to understand Batman Begins.That Batman Begins takes place in a world similar to our own is reinforced by the lack of stylised lighting often employed in other films in the genre. But the viewer is still reminded that Batman’s story is a heroic story by the use of High-key Lighting (including night scenes). Lighting has formed its own patterns of devel opment through its use in film so that now High-key Lighting is associated with comedies, adventure films and dramas (Bordwell and Thompson, 2008, p. 129). Costume and makeup can likewise have specific function within a film.While Batman Begins explicitly states that the use of the bat motif (and by association, the bat-like suit) is because it is primal, elemental, and scary, Bruce Wayne’s line in minute 69, â€Å"A guy who dresses up as a bat, clearly has issues† also alludes to another meaning, that Bruce Wayne has issues; his fear, his guilt, his drive. Bordwell and Thompson maintain that the Classical Hollywood narrative (2008, p. 137) was built on ideologically stereo-typed roles such as the Irish cop on the beat, the Jewish pawnbroker, the wisecracking waitress or showgirl.In Batman Begins, the villains Batman must overcome also represent deeper personal issues; Falcone is crime, Flass and Faden are corruption, Ra’s Al Ghul is vengeance. Batman is likewis e supported by characters who represent traits he must adopt; Gordon hasn’t been tainted by the corruption surrounding him, Alfred is loyal and Rachel is moral. Mise-en-scene uses the real world settings, lighting and costume to convey to viewers, that even though Batman Begins is a superhero story, viewers can make use of existing tools from the real world to make sense of it.Meanwhile the use of stereo-typed roles delivered through staging provides tangible representations of the internal journey Batman makes in the film. These aspects combined with other film techniques, provide meaning to Batman Begins. Bibliography Bordwell, David & Thompson, Kristin (2008). Film Art: An Introduction (8th ed. ). New York: McGraw Hill. Jennings, Wade (1988). â€Å"Fantasy† in Handbook of American Genres, Ed. Wes D. Gehring. New York: Greenwood Press. Speidal, Suzanne (2007). â€Å"Film form and narrative† in Introduction to Film Studies (4th ed. ), Ed. Jill Nelmes. Oxon: Rou tledge.

The Diversity Within The Workplace - 1324 Words

As the global reach of each organization grows, their objectives have not changed, however, their look toward leadership has. The increased diversity in the workplace requires superior synchronization by identified employees to meet effectively the mission and vision of the organization. This individual must be capable of meeting the needs of subordinates with their area of expertise with set expectations for meeting organizational goals. While the world analyzed this need, several theories became known. These theories include: (1) path-goal; (2) situational leadership; and (3) contingency, all of which jumped into the everyday language to fulfill the need to define specific characteristics of the leaders; at that time. Moreover,†¦show more content†¦The leader expertise integrates leader competence within the behaviors of the leader (de Vries, Roe, Taillieu, 2002). Discovering the appropriate characteristic and style for the leader as well as the organization will po sitively effect in the organizational mission and vision. Negative impacts will result when inappropriate styles and characteristics are employed. Discussion Understanding that leadership is needed within an organization and within the global realm, one must make a take inventory of skills needed and possessed. Being truthful with oneself will prevent over and understatements of available talents. A true self-analysis requires obtaining an original reflection of personal talents. This analysis includes the assessment of: (1) holistic leadership reflection; (2) leadership theory evaluation; (3) leadership genre analysis; (4) today s’ leadership practices; and (5) self-improvement strategies. Honest assessments of current leadership characteristics available may provide a solid foundation for strategic leadership goals to be created (Sydà ¤nmaanlakka, 2003). Holistic Leadership Reflection The reflection of ones’ leadership development that focuses on self, the followers and the organizational environment that result in overall mission transformational accomplishment is a fundamental need. Holistic leadership is a process and