LEADER 06502nam 22006495 450 001 9910483113003321 005 20230810213318.0 010 $a3-658-03672-9 024 7 $a10.1007/978-3-658-03672-0 035 $a(CKB)2670000000548023 035 $a(EBL)1698234 035 $a(OCoLC)878079632 035 $a(SSID)ssj0001187463 035 $a(PQKBManifestationID)11642147 035 $a(PQKBTitleCode)TC0001187463 035 $a(PQKBWorkID)11258032 035 $a(PQKB)11601662 035 $a(MiAaPQ)EBC1698234 035 $a(DE-He213)978-3-658-03672-0 035 $a(PPN)177823445 035 $a(EXLCZ)992670000000548023 100 $a20140320d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProspective Mathematics Teachers? Knowledge of Algebra $eA Comparative Study in China and the United States of America /$fby Rongjin Huang 205 $a1st ed. 2014. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2014. 215 $a1 online resource (196 p.) 225 1 $aPerspektiven der Mathematikdidaktik,$x2522-0802 300 $aDescription based upon print version of record. 311 $a3-658-03671-0 320 $aIncludes bibliographical references. 327 $a""Foreword""; ""Acknowledgments""; ""Table of Contents""; ""Figures""; ""Tables""; ""Nomenclature""; ""1 Chapter One: Introduction""; ""1.1 Background""; ""1.2 Statement of Purpose""; ""1.3 Research Questions""; ""1.4 Delimitations""; ""2 Chapter Two: Literature Review""; ""2.1 Knowledge Needed for Teaching""; ""2.2 Mathematics Knowledge for Teaching""; ""2.3 Teachersa??? Knowledge of Algebra for Teaching""; ""2.4 Mathematics Knowledge for Teaching Some Key Concepts in Algebra""; ""2.4.1 Teaching and Learning of the Concept of Function"" 327 $a""2.4.2 Teaching and Learning of Expressions and Equations Expressions.""""2.4.3 Two Perspectives about the Concept of Function: A Case Study of Quadratic Function""; ""2.4.4 Flexibility in Learning the Concept of Function: A Case Study of Quadratic Function.""; ""2.5 Mathematics Teacher Education Systems in China and the U.S.""; ""2.5.1 Mathematics Teacher Education in China""; ""2.5.2 Mathematics Teacher Education in the U.S.""; ""2.6 Comparative Studies on Teachersa??? Knowledge for Teaching between China and the U.S.""; ""2.7 Conclusion""; ""3 Chapter Three: Methodology"" 327 $a""3.1 Instrumentation""""3.1.1 Content Appropriateness""; ""3.1.2 Translation Equivalence""; ""3.1.3 Appropriateness of the Survey from Teachersa??? Perspectives""; ""3.1.4 Measuring Knowledge for Teaching the Concept of Function""; ""3.2 Data Collection""; ""3.2.1 Chinese Data Collection""; ""3.2.2 U.S. Data Collection""; ""3.2.3 Interview of the Selected U.S. Participants""; ""3.3 Data Analysis""; ""3.3.1 Quantifying the Data""; ""3.3.2 Inter-Rater Reliability""; ""3.3.3 Developing Categories of Different Strategies of Solving Openended Items""; ""3.3.4 Quantitative Analysis"" 327 $a""3.3.5 Interview Data Analysis""""3.4 Framework for Data Analysis""; ""3.5 Conclusion""; ""4 Chapter Four: Results""; ""4.1 Comparison of KAT between China and the U.S.""; ""4.1.1 Reliability of the Instrument""; ""4.1.2 The Mean Differences of Items and Components between China and the U.S.""; ""4.1.3 Analysis of Selected Multiple Choice Items""; ""4.2 Relationship among Components of KAT in China and the U.S.""; ""4.2.1 Path Model Analysis""; ""4.3 Comparisons of KTCF between China and the U.S.""; ""4.3.1 Logical Reasoning in Matrix System"" 327 $a""4.3.2 Flexibility in Adopting Perspectives of Function Concept""""4.3.3 Flexibility in Using and Shifting Different Representations""; ""4.4 An Analysis of Correlation between Flexibility and Other Variables""; ""4.5 Summary of the Findings""; ""4.5.1 The Differences and Similarities of KAT in Chinese and U.S. Prospective Teachers""; ""4.5.2 The Relationship between Different Components of KAT""; ""4.5.3 Difference and Similarities of Knowledge for Teaching the Concept of functions""; ""4.5.4 The Relationship between KAT and Courses Taken""; ""5 Chapter Five: Conclusion and Discussion"" 327 $a""5.1 Conclusion"" 330 $aRongjin Huang examines teachers? knowledge of algebra for teaching, with a particular focus on teaching the concept of function and quadratic relations in China and the United States. 376 Chinese and 115 U.S.A. prospective middle and high school mathematics teachers participated in this survey. Based on an extensive quantitative and qualitative data analysis the author comes to the following conclusions: The Chinese participants demonstrate a stronger knowledge of algebra for teaching and their structure of knowledge of algebra for teaching is much more interconnected. They show flexibility in choosing appropriate perspectives of the function concept and in selecting multiple representations. Finally, the number of college mathematics and mathematics education courses taken impacts the teachers? knowledge of algebra for teaching.     Contents ·        Knowledge Needed for Teaching ·        Mathematics Teacher Education in China and the U.S.A. ·        Instrumentation, Data Collection, and Data Analysis ·        Comparison of Knowledge of Algebra for Teaching (KAT) between China and the U.S.A. ·        Relationship among Different Components of KAT ·        Comparison of KTCF between China and the U.S.A.     Target Groups ·        Researchers, academics, and scholars of mathematics and didactics ·        Teachers   The Author Dr. Rongjin Huang works as an associate Professor at the Middle Tennessee State University, U.S.A. 410 0$aPerspektiven der Mathematikdidaktik,$x2522-0802 606 $aMathematics$xStudy and teaching  606 $aTeachers$xTraining of 606 $aMathematics Education 606 $aTeaching and Teacher Education 615 0$aMathematics$xStudy and teaching . 615 0$aTeachers$xTraining of. 615 14$aMathematics Education. 615 24$aTeaching and Teacher Education. 676 $a512.00712 700 $aHuang$b Rongjin$4aut$4http://id.loc.gov/vocabulary/relators/aut$01170362 906 $aBOOK 912 $a9910483113003321 996 $aProspective Mathematics Teachers? Knowledge of Algebra$92854402 997 $aUNINA