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1. |
Record Nr. |
UNINA9910963444003321 |
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Titolo |
Advanced mathematical thinking / / edited by David Tall |
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Pubbl/distr/stampa |
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Dordrecht ; ; Boston, : Kluwer Academic Publishers, c1991 |
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ISBN |
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1-280-20754-X |
9786610207541 |
0-306-47203-1 |
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Edizione |
[1st ed. 1991.] |
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Descrizione fisica |
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1 online resource (310 p.) |
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Collana |
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Mathematics education library ; ; v. 11 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Mathematics - Study and teaching |
Mathematics - Psychological aspects |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 261-274) and index. |
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Nota di contenuto |
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The Psychology of Advanced Mathematical Thinking -- The Nature of Advanced Mathematical Thingking -- Advanced Mathematical Thinking Processes -- Mathematical Creativity -- Mathematical Proof -- Cognitive Theory of Advanced Mathematical Thinking -- The Role of Definitions in the Teaching and Learning of Mathematics -- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts -- Reflective Abstraction in Advanced Mathematical Thinking -- Research into the Teaching and Learning of Advanced Mathematical Thinking -- Research in Teaching and Learning Mathematics at an Advanced Level -- Functions and Associated Learning Difficulties -- Limits -- Analysis -- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory -- Research on Mathematical Proof -- Advanced Mathematical Thinking and the Computer -- Epilogue -- Reflections. |
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Sommario/riassunto |
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Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encouraged and improved in the developing minds of students – has been limited to the reflections of a few significant individuals scattered throughout the history of mathematics. In the |
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twentieth century the theory of mathematical education during the compulsory years of schooling to age 16 has developed its own body of empirical research, theory and practice. But the extensions of such theories to more advanced levels have only occurred in the last few years. In 1976 The International Group for the Psychology of Mathematics (known as PME) was formed and has met annually at different venues round the world to share research ideas. In 1985 a Working Group of PME was formed to focus on Advanced Mathematical Thinking with a major aim of producing this volume. The text begins with an introductory chapter on the psychology of advanced mathema- cal thinking, with the remaining chapters grouped under three headings: • the nature of advanced mathematical thinking, • cognitive theory, and • reviews of the progress of cognitive research into different areas of advanced mathematics. |
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2. |
Record Nr. |
UNINA9910219990503321 |
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Titolo |
Charter school operations and performance : evidence from California / / Ron Zimmer ... [et al.] ; prepared for the California Legislative Analyst's Office |
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Pubbl/distr/stampa |
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Santa Monica, CA, : Rand, 2003 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (313 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Charter schools - California - Evaluation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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At bottom of t.p.: Rand Education. |
"MR-1700-EDU"--P. [4] of cover. |
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Nota di bibliografia |
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Includes bibliographical references (p. 273-280). |
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Nota di contenuto |
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Cover; PREFACE; CONTENTS; FIGURES; TABLES; SUMMARY; ACKNOWLEDGMENTS; ACRONYMS; Chapter One; INTRODUCTION; BACKGROUND: CHARTER SCHOOLS NATIONALLY AND IN CALIFORNIA; WHAT WE KNOW FROM PRIOR RESEARCH; FOCUS OF THIS RESEARCH; DATA SOURCES; Primary Data; Secondary Data; HOW WE CATEGORIZED CHARTER SCHOOLS; Conversion and Start-Up Charter Schools; |
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Classroom-Based and Nonclassroom-Based Charter Schools; School Size; Independent and Dependent Charter Schools; LIMITATIONS OF THE STUDY; Data Limitations; Budgetary and Time Constraints; HOW THE REPORT IS ORGANIZED; Chapter Two |
STUDENTS SERVED BY CHARTER SCHOOLSINTRODUCTION; ACCESS TO CHARTER SCHOOLS; Student Admissions Processes; Focus of School Services; CHARACTERISTICS OF STUDENTS IN CHARTER SCHOOLS; SCHOOL-BY-SCHOOL ANALYSIS; SUMMARY; Chapter Three; ACADEMIC OUTCOMES; INTRODUCTION; SCHOOL-LEVEL PERFORMANCE; STATEWIDE NONLONGITUDINALLY LINKED STUDENTLEVEL DATA; LONGITUDINALLY LINKED STUDENT-LEVEL DATA; COMPETITIVE EFFECT OF CHARTER SCHOOLS; SUMMARY; School-Level Analysis of API Scores; Statewide Nonlongitudinal Student Data; Longitudinally Linked Student Data; Competitive Effects of Charter Schools; Chapter Four |
AUTHORIZATION, GOVERNANCE, AND OVERSIGHT OF CHARTER SCHOOLSINTRODUCTION; AUTHORIZATION OF CHARTER SCHOOLS; Description of Chartering Authorities; Development and Evaluation of Charter Petitions; The Outcomes of Charter Petitions; Closed or Revoked Charter Schools; Denied Charter Petitions; GOVERNANCE OF CHARTER SCHOOLS; Dependent and Independent Charter Schools; Legal Liability in Charter Schools; Charter School Autonomy; OVERSIGHT OF CHARTER SCHOOLS; Characteristics of Chartering Authority Oversight of Charter Schools; Chartering Authority Actions Toward Charter Schools |
SERVICES PROVIDED BY CHARTERING AUTHORITIESSUMMARY; Authorization; Governance; Oversight; Services; Chapter Five; CHARTER SCHOOL FINANCES AND FACILITIES; INTRODUCTION; CHARTER SCHOOL FUNDING; Meeting Legislative Requirements; Participation in Categorical Aid Programs; PRIVATE DONATIONS TO CHARTER SCHOOLS; CHARTER SCHOOL EXPENDITURES; FACILITIES; OTHER FISCAL CHALLENGES; SUMMARY; Chapter Six; ACADEMIC ENVIRONMENTS OF CHARTER AND CONVENTIONAL PUBLIC SCHOOLS; INTRODUCTION; PROFESSIONAL DEVELOPMENT; Chartering Authorities' Involvement in Professional Development |
Teacher Participation in Professional DevelopmentCURRICULUM AND INSTRUCTION; Programs and Scheduling Modifications; Courses and Academic Program Requirements; Computers; STUDENT TESTING; PARENT INVOLVEMENT; STUDENT DISCIPLINE; SUMMARY; Chapter Seven; STAFFING IN CHARTER AND CONVENTIONAL PUBLIC SCHOOLS; INTRODUCTION; THE CHARACTERISTICS OF TEACHERS; Teaching Credentials; Teaching Experience; THE CHARACTERISTICS OF PRINCIPALS; Credentials and Qualifications of Principals; Administrative and Teaching Experience; WORKING CONDITIONS AND COMPENSATION OF TEACHERS |
WORKING CONDITIONS AND COMPENSATION OF PRINCIPALS |
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Sommario/riassunto |
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The report analyzes an array of issues pertaining to accessibility, student achievement, governance, and operation of charter schools in California. Four specific research questions were investigated: (1) What population of students attends charter schools? (2) Is student achievement higher in charter schools than in conventional public schools? (3) What oversight and support do the chartering authorities provide? (4) How do charter schools differ from their conventional public school counterparts in terms of their operation, including finances, academic achievement, and staffing? |
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