Cold War, Soviet Science Marxism, and Quantum Controversy

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MARXISM AND QUANTUM CONTROVERSY: RESPONDING TO MAX JAMMER'S QUESTION 1 OLIVAL FREIRE JR.2 Introduction I shall use the term “quantum controversy” as shorthand for the controversy over the interpretation of the formalism of quantum mechanics. Max Jammer wrote that the manner in which opposition to the Copenhagen interpretation of quantum mechanics “was fomented and supported by social-cultural movements and political factors, such as the growing interest in Marxist ideology in the West, deserves to be investigated just as diligently as the influence of the ‘Weimar culture' on early quantum theory has recently been studied.
  • time of the dissolution
  • supporters of complementarity
  • quantum controversy
  • inclusion of observation conditions into the quantum phenomena
  • causal interpretation
  • complementarity
  • role
  • physics
  • time
Published : Wednesday, March 28, 2012
Reading/s : 35
Origin : houstonisd.org
Number of pages: 3
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PRECALCULUS HISD Curriculum:Unit Framework Unit Framework / User InformationGrading CycleInstructional DaysRecommended Time Allocation 25 Days2 4 Six or 2ndWeeks(Oct. 3 – Nov. 4, 2011)90minute lessons45minute lessons Unit 2.1 Overview Inverse of the Trigonometric Functions Students graphically, tabularly, and algebraically analyze the inverse of the trigonometric functions Outline of Unit(s) in the Six Weeks Unit 2.1 Inverse of the Trigonometric Functions [ this unit ]Îlink to Unit Planning Guide and supporting materialsUnit 2.2 Trigonometric Identities and Solving Trigonometric Equations Unit 2.3 Applications of Trigonometric Functions Essential Understandings The inverse of a trigonometric function can be analyzed graphically, tabularly, and algebraically. Key Concepts anglemeasurementtrigonometric function conversionright triangleunit circle inverse Academic VocabularyContentSpecific Vocabulary investigaterubriccompositioninverse of a function representationstatplotdomainrange functiontransformation HISD Objectives / TEKS ÊPC.1B Determine the domain and range of functions using graphs, tables, and symbols, and relate to real world applications. ÊPC.2A Apply basic transformations, includinga  f(x),f(x)+d,f(xc),f(b  x), and compositions with absolute value functions, including |f(x)|, andf(|x|), to the parent functions. ÊPC.2B Perform operations including composition on functions, find inverses, and describe these procedures and results verbally, numerically, symbolically, and graphically. PC.3A Investigate properties of trigonometric and polynomial functions as graphs, tables, and symbolic representations.Performance Expectation(s) At the end of this bundle of mathematical objectives, students will demonstrate graphically, algebraically, verbally or technologically the relationship between trigonometric functions and their inverses, and model situations under which domain constrains will create inverse function. Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other).
© Houston ISD Curriculum • English Language Proficiency Standards (ELPS) Aligned Readiness Literacy Leads the Way Best Practices Process Standards 2011 – 2012  HISD Power Objective STAAR Readiness Standards-STAAR Supporting Standards TAKS Tested ObjectivePage 1 of 3
PRECALCULUS HISD Curriculum:Unit Framework Grading CycleInstructional DaysRecommended Time Allocation 25 Days6 12 Six or 2ndWeeksOct. 3 – Nov. 4, 201190minute lessons45minute lessons Unit 2.2 Overview Trigonometric Identities and Solving Trigonometric Equations Students convert and study trigonometric functions and identities to solve trigonometric equations. Outline of Unit(s) in the Six Weeks Unit 2.1 Inverse of the Trigonometric Functions Unit 2.2 Trigonometric Identities and Solving Trigonometric Equations[ this unit ]Îlink to Unit Planning Guide and supporting materialsUnit 2.3 Applications of Trigonometric Functions Essential Understandings Connections to the graphs of trigonometric functions are used in establishing trigonometric identities. Trigonometric identities can be applied to solving trigonometric equations. Key Concepts ConnectionEquationTrigonometric function DomainRangeTrigonometric identity Academic VocabularyContentSpecific Vocabulary investigaterepresentationcofunction identitiespythagorean identities essential andverifydoubleangle and halfquotient identities nonessential angleidentitiesreciprocal identities characteristicsevenodd identitiessum and difference identitiesproducttosum and sum toproduct identities HISD Objectives / TEKS ÊPC.2C Investigate identities graphically and verify them symbolically, including logarithmic properties, trigonometric identities, and exponential properties.ÊPC.3D Use properties of functions to analyze and solve problems and make predictions of graphs, tables, verbal and symbolic representations of realworld applications.PC.3E Solve problems from physical situations using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and incorporate radian measure where needed.Performance Expectation(s) By the end of this unit, students will use properties of trigonometric functions, demonstrate or verify trigonometric identities such as quotient, reciprocal, and Pythagorean identities and communicate mathematical ideas using graphical, numerical, physical, or algebraic models.. By the end of this unit, students will investigate trigonometric identities graphically and verify them symbolically and use those identities to solve trigonometric equations and compare and contrast solving a trigonometric equation to solving other equations such linear, polynomial, exponential, or logarithmic.Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other). © Houston ISD Curriculum • Literacy Leads the Way Best Practices English Language Proficiency Standards (ELPS) Aligned Readiness Process Standards 2011 – 2012  HISD Power Objective STAAR Readiness Standards-STAAR Supporting Standards TAKS Tested ObjectivePage 2 of 3
PRECALCULUS HISD Curriculum:Unit Framework Grading CycleInstructional DaysRecommended Time Allocation 25 Days2 4 Six 2ndWeeksor Oct. 3 – Nov. 4, 201190minute lessons45minute lessons Unit 2.3 Overview Applications of Trigonometric Functions Students apply and analyze trigonometric functions to solve realworld problems. Outline of Unit(s) in the Six Weeks Unit 2.1 Inverse of the Trigonometric Functions Unit 2.2 Trigonometric Identities and Solving Trigonometric Equations Unit 2.3 Applications of Trigonometric Functions [ this unit ]Îlink to Unit Planning Guide and supporting materialsEssential Understandings Solving realworld problems using the Law of Sines and the Law of Cosines can be connected to triangle congruence postulates and theorems. Key Concepts law of cosinesharmonic motiontriangle congruence law of sinesrealworld problemstrigonometric function Academic VocabularyContentSpecific Vocabulary arearepresentationharmonic motionlaw of cosines law of sines HISD Objectives / TEKS PC.3B Use and analyze functions such as logarithmic, exponential, trigonometric, polynomial, etc. to model reallife data.ÊPC.3D Use properties of functions to analyze and solve problems and make predictions of graphs, tables, verbal and symbolic representations of realworld applications.PC.3E Solve problems from physical situations using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and incorporate radian measure where needed.PC(8.14A) Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics. Performance Expectation(s) By the end of this unit, students will analyze trigonometric functions and use the Law of Sines and the Law of Cosines to solve real –world problems and connect those laws to triangle congruence postulates and theorems.Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other).
© Houston ISD Curriculum • Aligned Readiness Literacy Leads the Way Best Practices English Language Proficiency Standards (ELPS) Process Standards 2011 – 2012  HISD Power Objective STAAR Readiness Standards-STAAR Supporting Standards TAKS Tested ObjectivePage 3 of 3
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