3 Pages

05_Quality_slides

Course: CIS 580, Fall 2008
School: UMass Dartmouth
Rating:
 
 
 
 
 

Word Count: 2169

Document Preview

Quality The Paradigm "We shall build good ships here; at a profit if we can, at a loss if we must, but always good ships." motto used at Newport News Shipbuilding Quality Paradigm Elements Defining the nature of quality Empirical approach Customer focus Defect Elimination Managing for quality Process management Quality standards Defining the Nature of Quality What is quality? How is it...

Register Now

Unformatted Document Excerpt

Coursehero >> Massachusetts >> UMass Dartmouth >> CIS 580

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Quality The Paradigm "We shall build good ships here; at a profit if we can, at a loss if we must, but always good ships." motto used at Newport News Shipbuilding Quality Paradigm Elements Defining the nature of quality Empirical approach Customer focus Defect Elimination Managing for quality Process management Quality standards Defining the Nature of Quality What is quality? How is it characterized? IEEE Definition: "the totality of features and characteristics of a product or service that bears on its ability to satisfy given needs" The characterization of quality depends on the perspective from which it is viewed. Quality Perspectives Transcendental Perspective Quality can be identified but not defined. "I know it when I see it!!" "I know when its missing!!" User Perspective The user view of quality is in the context of use. Quality is gauged with regard to fitness for use. Manufacturing Perspective A process perspective. View of quality as resulting from performing the right tasks. Assumption that an improved process will result in improved products. Quality Perspectives (2) Product Perspective The product view is conformance to specification. Did we build what was wanted as detailed in the specification? Value-for-money Perspective Equates quality with what customers are willing to pay. It must be good if people will pay a lot for it. This view provides the foundation for trade-offs. This view is typical later in product development cycles when change requests are handled. Empirical Approach Improvements are based on measurement and experimentation, rather than on theory alone. It is very data oriented and calls for monitoring many variables inside and outside the organization. These numerical measures are used to guide the search for better performance. Statistical analysis of data. Relies on suitable measures of both processes and products. Customer Focus There are a variety of customers. Each customer is the client for a particular product. There are both external customers and internal customers other employees who depend on your work to be able to perform their jobs properly. Internally you can think of users of your particular artifact as the customer. Hence, having a customer focus becomes a way of thinking. Deming on Customer Focus "Everybody here has a customer. And if he doesn't know who it is and what constitutes the needs of the customer...then he does not understand his job." "Your study of the consumer -- what he finds right and what he finds wrong -- and your innovation are all bound up together. It will affect design and redesign of your product or service." Defect Elimination The quality paradigm tries to leverage defect prevention. Defect detection and removal is a costly activity. By moving towards preventing defects, you free considerable resources for pursuit of new opportunities. "Inspection with the aim of finding the bad ones and throwing them out is too late, ineffective, costly. Quality comes not from inspection but from improvement of the process." W. Edwards Deming Managing for Quality Employees work in the system, but management creates the system. There must be management commitment to quality. Adopting the paradigm implies a move towards continuous process improvement which requires commitment from both management and workers. Management by Results Most American managers manage, at least in part, by Management by Results. In this style of management, the emphasis is on the organizational chart and the key control points within that structure. Each manager, beginning at the top, is given certain goals for the next year. They, in turn, set goals and impose controls on each of their subordinates. For example, the sales department may be told to increase sales by 10%, production to increase productivity by 5%, engineering to get products into production 10% faster, purchasing to reduce costs by 5%, and so on. At the lower levels, these goals become quotas or work standards. Management by Results (2) Management by Results is simple, logical and consistent. It seems to have been quite successful. It is practiced to some degree by many major American corporations. It is widely taught in business schools. Management by Results (3) Management by Results encourages an organization to look inward at its own structures rather than outward at the world in which the customer operates. It is a system of controls. The rewarded accomplishments are therefore necessarily measurable and short term. The near horizon gets attention and countable accomplishments get priority even though an organization's survival may depend on the un-measurable activities undertaken to accomplish long-term results. When measurable controls are unattainable or impractical, individuals and groups tend to fabricate conformance. An electronics firm sometimes ships incomplete instruments. A service representative then flies around the country installing the missing parts. The shipment quota for the month is met. Profits, at least on paper, hold firm. A chemical plant reports it cannot efficiently run at the mandated inventory levels, so it keeps inventories higher until June 30 and December 31 when inventories are measured. For those days, it depletes the inventories to an acceptable level, perhaps losing two days production as a consequence. Many managers annually negotiate safe goals and manage to exceed them, just barely. Some managers include on their list of negotiable goals, goals which were already secretly accomplished prior to the negotiation. Production which exceeds the standards is stored so it can be pulled out and used another day. A meter reader stops at a tavern at 2:00 rather than exceed his work standard. Problems are hidden from management, in hopes they will blow over or not be noticed. The inevitable contradictions between the controls of different departments leads to finger pointing, blame games and an endless series of excuses like "if it weren't for them..." Related to the blame-it-on-them mentality is a cover-your-rear mentality: play it safe, don't trust anyone and make sure that when the system breaks down, someone else is at the switch. In times of stress, circle the wagons. Don't help others, especially if they're under fire. Behind the worst shortcomings of Management by Results is fear. Fear is the prime motivator in a Management by Results system. And the more rigid and unrealistic the controls are, the deeper is the fear. Process Management Process is treated explicitly. Emphasis on process improvement rather than individual accountability. The process management premise: A quality product is largely governed by the quality of the process used to develop and maintain it. The entire software development task is treated as a process that can be controlled, measured, and improved. There is guidance for recognizing, defining, measuring, and improving processes. Process Improvement Improving process is seen as a way to achieve: Better quality product Increased efficiency Increased Effectiveness Reduced Costs Increased Process Flexibility Improved Staff Satisfaction "Putting out fires is not improvement. Finding a point out of control, finding the special cause and removing it, is only putting the process back to where it was in the first place. It is improvement not of the process. You are in a hotel. You hear someone yell fire. He runs for the fire extinguisher and pulls the alarm to call the fire department. We all get out. Extinguishing the fire does not improve the hotel. That is not improvement of quality. That is putting out fires." W. Edwards Deming Beware the Hawthorne Effect From 1924-1932 a series of experiments conducted at the Hawthorne Works (owned by Western Electric) studied the effects of lighting level, breaks, length of work day, etc. on worker productivity. They found that whenever a change in conditions was introduced, productivity increased regardless of the change (even if it was a return to the original conditions). The researchers concluded that workers increased their productivity in response to being studied. Capability Maturity Model Integration for Development (CMMI-DEV) Describes principles and practices underlying software process maturity. Intended to help organizations evolve their software processes to higher levels of maturity. Capability/maturity levels may be used to identify the strengths, weaknesses, and risks of using a software supplier. The level of an organization can be assessed by an independent auditor, usually external. Authorized auditors must undergo formal training. CMMI Process Areas Causal Analysis and Resolution (CAR) Configuration Management (CM) Decision Analysis and Resolution (DAR) Integrated Project Management +IPPD (IPM+IPPD) Measurement and Analysis (MA) Organizational Innovation and Deployment (OID) Organizational Process Definition +IPPD (OPD+IPPD) Organizational Process Focus (OPF) Organizational Process Performance (OPP) Organizational Training (OT) Product Integration (PI) Project Monitoring and Control (PMC) Project Planning (PP) Process and Product Quality Assurance (PPQA) Quantitative Project Management (QPM) Requirements Development (RD) Requirements Management (REQM) Risk Management (RSKM) Supplier Agreement Management (SAM) Technical Solution (TS) Validation (VAL) Verification (VER) CMMI Practices For each process area a list of practices (or capabilities) is given. A software development organization improves their capability by implementing the practices documented. There are a number of levels of capability which are achieved by applying more definition and control to the key development processes. The practices only define what is needed to be done and not how. The intent of CMMI is to describe what capabilities a software development process should have and not prescribe how those capabilities are achieved. CMMI-DEV Paths CMMI supports two improvement paths. The "continuous" path enables organizations to incrementally improve processes corresponding to an individual process area (or process areas) selected by the organization. The "staged" path enables organizations to improve a set of related processes by incrementally addressing successive sets of process areas. For the continuous representation, "capability levels" are defined. For the staged representation, there are "maturity levels." The continuous representation focuses on process area capability and the staged representation focuses on organizational maturity. Capability and Maturity Levels Level Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Continuous Representation Capability Levels Incomplete Performed Managed Defined Quantitatively Managed Optimizing Staged Representation Maturity Levels N/A Initial Managed Defined Quantitatively Managed Optimizing Capability Levels Incomplete: An "incomplete process" is a process that either is not performed or partially performed. One or more of the specific goals of the process area are not satisfied. Performed: A performed process is a process that satisfies the specific goals of the process area. It supports and enables the work needed to produce work products. Managed: A managed process is a performed process that has the basic infrastructure in place to support the process. It is monitored, controlled, and reviewed. The process discipline reflected by capability level 2 helps to ensure that existing practices are retained during times of stress. Defined: A defined process is a managed process that is tailored from the organization's set of standard processes. At capability level 2, the standards, process descriptions, and procedures may be quite different in each specific instanc...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

UMass Dartmouth - CIS - 580
Formal Specification FunctionalApproaches to formal specification The system is described as a number of functions. Unnatural and complex for large systems Algebraic The system is described in terms of operations and their relationships.
UMass Dartmouth - CIS - 580
UMass Dartmouth - CISW - 3
Portfolios:the good, the bad, and the indispensableRichard UpchurchComputer and Information Science Department UMass DartmouthOutline Teaching Portfoliosand LearningTask Findingout what does and does not work to facilitate learning.Ty
UMass Dartmouth - CIS - 431
ACM S I G S O F TSoftware Engineering Notes vol 22 no 5September 1997 Page 10E v a l u a t i n g S W Eng. M e t h o d s and Tools Part 8: A n a l y s i n g a Feature Analysis Evaluation IBarbara Ann Kitchenham Department of Computer Science Un
UMass Dartmouth - CIS - 110
Session T1APreparation of Papers in Two Column Format for the FIE 2007 ConferenceDan BudnyPublication Chair, University of Pittsburgh, Engineering Student Services Center, Pittsburgh, PA 15261 budny@pitt.eduor multiple authors from multiple ins
UMass Dartmouth - CIS - 110
dfafdasdf
UMass Dartmouth - CIS - 161
Fundamentals of Visual BasicCIS 161Visual Basic StructureVBProvides developer with ways to create the user interface.Form Properties describe the visual display of controls Properties Consists of ControlsBehavior associated with particular
UMass Dartmouth - CIS - 362
RegressionCIS 362OverviewTo frame our discussion, consider:OutlineThe Problem Wehave n paired observations (xi,yi) for which we we want to determine the equation of the line, linear equation, which represents the best fit to the data.Vo
UMass Dartmouth - CIS - 362
MeasurementYou cannot control what you cannot measure.Demarco, 1982CIS 362OverviewTo frame our discussion, consider: What is the role of measurement in software engineering? What are the pros and cons of various measurement systems? How has
UMass Dartmouth - NUR - 242
ilmffiff ogffiHtm.lwiftt a providers rdro spe,nd lot of time interac$ng positionto patiurts,placestheurin anexceptional healttl makean evenqreato impacton patients'ECalltoActionas Nursesshquldpositionthemselves primary program of players thedev
UMass Dartmouth - ECE - 160
1. Launch Visual Studio 20052. Select File/New/Project3. In the New Project dialog box, under Visual C+, click Win32, and select Win32 Console Application. Insure "Location:" contains "Z:\Visual Studio 2005\Projects". If it does not, click on the
UMass Dartmouth - ECE - 160
University of Massachusetts Dartmouth Department of Electrical and Computer Engineering ECE 160 Name: quad.cpp (replaces sumdif.cpp on syllabus) Project 1 Quadratic Equation Solver Due: 02/09/2009 23:59 Write a program which finds the real roots of
UMass Dartmouth - ECE - 160
ECE 160 - Introduction to Computer Engineering I10/09/2007Functions Functions used to break problem down into small, "bitesized" pieces. Functions have an optional type of return value, a name, and optional arguments Functions return at most,
UMass Dartmouth - CIS - 273
Lecture 5: From HLL to ALU Operations Solution to problem in lecturecompiling HLL code to MIPS: int X[10], Y[10]; int i, j; / integer arrays / index variables / / / / / / outer loop set X[i] inner loop set Y[j] based on value of jfor (i = 0; i < 10
UMass Dartmouth - CIS - 273
CIS 273 Computer Organization & DesignInstructor: Dr. Michael Geiger Spring 2007 Lecture 4: Computer Arithmetic (cont.)Lecture outlineAnnouncementsReminder: Office hours Prof. Geiger: T 1:30-2:30, W 2-3, Th 1:30-3:30, II-221C TAs: T/Th 2
UMass Dartmouth - CIS - 466
By: Justin Clark, Julie Lavoie, Clinton RogersClassical Planning - Description - Assumptions employed - TechniquesState-Space Planning vs Partial Order PlanningFormal languages used for classical planning are : STRIPS: STanford Research Ins
UMass Dartmouth - CIS - 466
By: Erica Dominguez Richard VaughanInferencethe act or process of deriving a conclusion based solely onwhat one already knows An inference system's job is to extend a knowledge base automatically Many logical studies have attempted to truly defi
UMass Dartmouth - CIS - 525
CIS 525 Software Development of Parallel and Distributed Systems Dr. Boleslaw Mikolajczak Due, Thursday, October 2, 2008 6 pointsFall 2008Homework #2 Modeling with Colored Petri nets Invariant-based Verification Techniques for Petri netsProblem
UMass Dartmouth - CIS - 525
1 CIS 525 Software Development of Parallel and Distributed Systems Fall 2008Lecture 15: Tuesday, October 21, 2008Midterm Take Home ExamLecture 16: Thursday, October 23, 2008 1. Concepts of Bi-similarity in Petri nets (chapter 10.2; pp. 143-1
UMass Dartmouth - CIS - 180
Prepare for the second midterm examAbout the exam:1. 12:30pm-1:45pm, Thursday, 4/10/2008 2. Closed-book and closed notesGeneral guides:1. Read through the textbook from Chapter 4, chapter 5, and chapter 8. 2. Go over all the lecture notesImpor
UMass Dartmouth - CIS - 180
CIS 180-Object-oriented ProgrammingTuesday, January 29, 2008 Gaoyan XieBasic Concepts-ComputerA Computer is A machine in some sense that is no more different than other machines you see everyday An automatic and far more intelligent machin
UMass Dartmouth - CIS - 180
CIS 180-Object-oriented Programming IThursday, February 26, 2008 Gaoyan XieObjectivesUnderstand the role that methods play in an object-oriented program. Know how to use parameters and arguments to pass data to an object. Understand how
UMass Dartmouth - CIS - 110
Answer questions related to the following spreadsheet and eat a cupcake (not provided)A 1 2 3 4 5 6 7 8 9 Name Al-24 Ba-121 Cf-246 Cl-38m Lr-254 Pu-235 Ra-211 Half life (s) 2.07 30 129600 0.7 20 1560 13 B Isotope Decay mode positron emission positro
UMass Dartmouth - CIS - 115
CIS 115 Lab #5 If-else statements and boolean logic You are going to implement programming project #8 from chapter 4.Here is what you must hand in, and when: 1. Pre-lab, due Wednesday, 10/8 Hand to me, at the beginning of class, the following: a) P
UMass Dartmouth - CIS - 563
CIS 563: Multi-Agent Software Systems University of Massachusetts DartmouthHandout 1 Monday, January 24, 2005CIS 563: Multi-Agent Software Systems, Spring 2005Mon. and Wed., 3:30 - 4:45 pm, Dion 101 Instructor: Prof. Xiaoqin Zhang, Prof. Haiping
UMass Dartmouth - CTS - 2009
The 2009 International Symposium on Collaborative Tewchnologies and Systems (CTS 2009) May 18-22, 2009 The Westin Baltimore Washington International Airport Hotel Baltimore, Maryland, USACALL FOR PAPERSWorkshop on Role-Based Collaboration (RBC 20
UMass Dartmouth - EANDRADE - 1
This is my second website!
UMass Dartmouth - CIS - 273
CIS 273: Computer Organization & DesignSpring 2007 Homework #1 Due in class, 2/22/07Name: _ ID #: _ Please write your name and ID # in the spaces above and staple this sheet to the front of your homework solutions. As stated in the syllabus, homewo
UMass Dartmouth - CIS - 273
CIS 273: Computer Organization & DesignSpring 2007 Homework #2 Due in class, 3/13/07Name: _ ID #: _ Please write your name and ID # in the spaces above and staple this sheet to the front of your homework solutions. As stated in the syllabus, homewo
UMass Dartmouth - CIS - 273
CIS 273 Computer Organization & DesignInstructor: Dr. Michael Geiger Spring 2008 Lecture 14: Processor datapath and control (cont.)Lecture outlineAnnouncements Reminder: Exam 1 regrade requests due Thursday HW 2 regrades also being accepte
UMass Dartmouth - CIS - 273
CIS 273 Computer Organization & DesignInstructor: Dr. Michael Geiger Spring 2008 Lecture 21: Memory hierarchies (cont.)Lecture outline Exams to (hopefully) be returned Thursday Review: Memory hierarchies Memory hierarchy basics Mapping addr
UMass Dartmouth - CIS - 273
CIS 273 Computer Organization & DesignInstructor: Dr. Michael Geiger Spring 2008 Lecture 22: Memory hierarchies (cont.)Lecture outlineAnnouncements Exams to be returned next week Labs 9 (due 5/5) and 10 (due 5/12) posted HW 5 next week Dir
UMass Dartmouth - CIS - 273
CIS 273 Computer Organization & DesignInstructor: Dr. Michael Geiger Spring 2008 Lecture 15: Processor datapath and control (cont.)Lecture outlineAnnouncementsHW 3 posted today (or early tomorrow)Due next Thursday, 4/10 Exam 1 regra
UMass Dartmouth - BIO - 103
BIO 103-02/03 MWF 1-1:50P/2-2:50P Dion 116 Gen Ed-STopics in Biology EVOLUTIONARY BIOLOGY IN MEDICINEProfessor- Dr. Eli Stahl Group II, Rm 334A (in the back of A&P lab 334, please walk right through) Ph: 999-8248 Email: estahl@umassd.edu Office H
UMass Dartmouth - BIO - 103
BIO103- FINAL Name _Dec 17, 2003 Page 1 of 4This final consists of four questions worth 25 points each. They include a combination of regurgitating information from the lectures and reading, and synthesizing the information and showing your under
UMass Dartmouth - BIO - 103
10/24- Why We Get Sick Chapters 5 and 6These chapters are about things that cause disease in out environment, and how we are adapted to them (or not). Chapter 5 is about Injury. There are many ways that we are evolved for dealing with the pos
UMass Dartmouth - NSF - 0832594
Electrical and Computer Engineering DepartmentResearch Assistantship (RA) Positions in Reliability EngineeringThe Dependable Computing and Networking research group at the University of Massachusetts at Dartmouth (www.umassd.edu) has two fully-fun
UMass Dartmouth - ECE - 560
UMass Dartmouth - ECE - 454
ECE454/544F'08ECE454/544: Fault-Tolerant Computing & Reliability Engineering (Fall 2008)Homework #1 Solution1. Required reading assignment: please download the following paper from the class website (under Homework section) and read it. Daniel
UMass Dartmouth - ECE - 560
ECE560: Computer Systems Performance Evaluation Project DescriptionProf. Liudong Xing ECE Dept, UMass Dartmouth Spring 20091General DescriptionThis project is designed to allow everyone in the class to pursue technical areas that are relevant
UMass Dartmouth - NSF - 0614652
Dependable Network Analyzer Tutorial:Dependable Network Analyzer Version 2.2, August 2008 = Copyright University of Massachusetts, Dartmouth = This software tool is designed as part of the research work with Dr. Liudong Xing (PI), partly supported
UMass Dartmouth - ECE - 454
ECE454/544- F' 08Welcome to ECE454/544!ECE454/544: Fault-Tolerant Computing & Reliability Engineering Todays lecture Course Syllabus & Operational Details Overview of fault-tolerant computing & reliability engineering (FTC&RE) Background Surve
UMass Dartmouth - ECE - 560
ECE560-S'08M/M/1/N: Performance Measures (I)For example: for =0.5, if want a blocking probability of < 10 6, what is the minimum system capacity?Solution to Examples in L#13For N = 18 , PB = N (1 ) > 10 6 1 N +1While by adjusting N =
UMass Dartmouth - ECE - 454
ECE454/544: Fault-Tolerant Computing & Reliability EngineeringLecture #4 Hardware Redundancy TechniquesInstructor: Dr. Liudong Xing 9/10/08, WednesdayAdministrative Issues (9/10/08) Homework#1 Download the problems from the course website D
UMass Dartmouth - ECE - 456
Fall'08ECE 456 Computer Architecture & ECE 561 Computer SystemsLecture #14 CPU (III) Instruction Cycle & Pipelining Instructor: Dr. Liudong Xing Fall 2008Administrative Issues Homework #5 Due Wed. 11/12/08 Exam#2 Monday, November 17 Proj
UMass Dartmouth - ECE - 454
Fall'08ECE454/544: Fault-Tolerant Computing & Reliability EngineeringAdministrative Issues (9/22/08) Homework#1 Returned today Solution available on the course website Homework#2 Due Today Homework#3 Lecture #7 Time & Software Redundancy T
UMass Dartmouth - ECE - 560
ECE560: Computer Systems Performance EvaluationLecture #4 - Simulation: An OverviewInstructor: Dr. Liudong XingAdministrative Issues (Feb. 7, Thursday)Project team set-up (6 groups; 3-4 students per group)Due Today Names of team members and l
UMass Dartmouth - ECE - 560
ECE560 Final Exam Sample Questions (S08) Dr. L. Xing1. Considering a computer subsystem that can be modeled as the GI/M/1 queueing system. Specifically, the service time is exponentially distributed with a constant rate of 60 jobs per second. The La
UMass Dartmouth - ECE - 591
Department of Electrical and Computer Engineering University of Massachusetts DartmouthECE591: Dependable Computing and NetworkingSpring 2008Homework #1Name: _Instructor: Prof. Liudong XingECE591: Dependable Computing and Networking (Sprin
UMass Dartmouth - ECE - 560
ECE560-S'09ECE560: Computer Systems Performance Evaluation Instructor: Dr. Liudong Xing II-214A, lxing@umassd.eduECE Dept., Spring 2009Welcome to ECE560! Todays lecture Course Syllabus & Operational Details Introduction to Computer Systems P
UMass Dartmouth - ECE - 560
Department of Electrical and Computer Engineering University of Massachusetts DartmouthECE560: Computer Systems Performance EvaluationSpring 2008Homework #3Name: _Instructor: Dr. Liudong XingECE560: Computer Systems Performance Evaluation
UMass Dartmouth - ECE - 560
ECE560: Computer Systems Performance EvaluationLecture #3 Experimental Design and AnalysisInstructor: Dr. Liudong XingAdministrative Issues (Feb. 5, Tuesday)Teaching AssistantName: Joseph St. Pierre Email: jstpierre@umassd.edu Office Hours:
UMass Dartmouth - ECE - 591
Department of Electrical and Computer Engineering University of Massachusetts DartmouthECE591: Dependable Computing and NetworkingSpring 2008 Background Survey Please answer the following questions and hand in on Thursday's class (January 31, 200
UMass Dartmouth - ECE - 454
UMass Dartmouth - ECE - 160
Xing - Fall05ECE160: Foundations of Computer Engineering ILecture #26 Exam#2 Return & ReviewInstructor: Dr. Liudong Xing II-214A, lxing@umassd.edu ECE Dept., 11/14/05Administrative Issues (11/14, Mon.) Today is the last day to withdraw from
Widener - INFOPACK - 3
School of Business AdministrationDepartment of Accounting, Taxation and Business LawWidener UniversityProfessional and Academic Advisory Board MeetingQuick Center, Executive Education Room 108 Chester, Pennsylvania Campus June 2, 2005Widener
UMass Dartmouth - MTH - 100306
MTH530 Geometry for Teachers Euclidean Geometry Part 2 Exploring relationships between objects We will unpack what the following words mean in a dynamic geometry environment: Observe Conjecture Test Refute Belief Intuition Prove Exercise: Con
UMass Dartmouth - MTH - 091206
MTH531: Week 2 History of Geometry Thales (640-546BC) Abstracted mathematical features from Engineering diagrams and asked why they were true: A circle is bisected by any diameter) Base angles of an isosceles triangle are equal Pythagoras (569-475B
UMass Dartmouth - MTH - 531
Reflections - Axioms, definitions and postulates - Using geometric models to understand algebraic relationships - what does it buy us from an educational perspective? - Discuss a couple of problems from homeworkAims - Introduction to Dynamic Geomet
UMass Dartmouth - MTH - 531
MTH531 Geometry for Teachers Week 7 Non-Euclidean Geometry HISTORY Euclid (300BC) established five axioms for geometry, then showed that every result in his text could be proven from those axioms. In modern language, Euclids postulates can be stated
UMass Dartmouth - MTH - 092606
MTH 531 Geometry for Teachers Week 4 Euclidean Geometry Euclidean constructions imposing a straightedge and compass only approach actually forces students to think more deeply about the underlying mathematical structure. Leads to applications in sc