001472273 000__ 05690cam\\22006257a\4500 001472273 001__ 1472273 001472273 003__ OCoLC 001472273 005__ 20230908003404.0 001472273 006__ m\\\\\o\\d\\\\\\\\ 001472273 007__ cr\un\nnnunnun 001472273 008__ 230805s2023\\\\si\\\\\\o\\\\\000\0\eng\d 001472273 019__ $$a1392044926 001472273 020__ $$a9789819912483$$q(electronic bk.) 001472273 020__ $$a9819912482$$q(electronic bk.) 001472273 020__ $$z9819912474 001472273 020__ $$z9789819912476 001472273 0247_ $$a10.1007/978-981-99-1248-3$$2doi 001472273 035__ $$aSP(OCoLC)1392344309 001472273 040__ $$aEBLCP$$beng$$cEBLCP$$dYDX$$dGW5XE 001472273 0411_ $$aeng$$hchi 001472273 049__ $$aISEA 001472273 050_4 $$aQA11.A1 001472273 08204 $$a510.71251$$223/eng/20230815 001472273 1001_ $$aZhang, Shizao. 001472273 24514 $$aThe pedagogy of secondary-school mathematics /$$cShizao Zhang. 001472273 260__ $$aSingapore :$$bSpringer,$$c2023. 001472273 300__ $$a1 online resource (411 p.) 001472273 500__ $$a4.3.5 Aesthetic Method 001472273 5050_ $$aIntro -- Textbook for Normal Colleges and Universities -- Contents -- 1 Introduction -- 1.1 Scientific Mathematics and Mathematics as an Educational Science -- 1.1.1 Scientific Mathematics -- 1.1.2 Mathematics as an Educational Science -- 1.2 Emergence and Development of Mathematics Education -- 1.3 Nature, Task, and Significance of Mathematics Pedagogy -- 1.3.1 Nature of Mathematics Pedagogy -- 1.3.2 Task of Mathematics Pedagogy -- 1.3.3 Significance of Mathematics Pedagogy -- 2 Secondary School Mathematics Logic -- 2.1 Secondary School Mathematics Concepts -- 2.1.1 Meaning of Concept 001472273 5058_ $$a2.1.2 Structure of Concept -- 2.1.3 Relationship Between Concepts -- 2.1.4 Definition of Concept -- 2.1.5 Series of Concept -- 2.1.6 Classification of Concepts -- 2.2 Secondary School Mathematics Propositions -- 2.2.1 Judgement -- 2.2.2 Proposition -- 2.2.3 Generation of Reverse Proposition -- 2.2.4 Identity Principle of Propositions -- 2.3 Basic Laws of Formal Logic -- 2.3.1 Law of Identity -- 2.3.2 Law of Contradiction -- 2.3.3 Law of Excluded Middle -- 2.3.4 Law of Sufficient Reason -- 2.4 Secondary School Mathematics Inference -- 2.4.1 Inductive Inference -- 2.4.2 Analogical Inference 001472273 5058_ $$a2.4.3 Deductive Inference -- 2.5 Secondary School Mathematics Proof -- 2.5.1 Analysis Method and Synthesis Method -- 2.5.2 Direct and Indirect Proof -- 2.6 Teaching of Secondary School Mathematics Concepts and Propositions -- 2.6.1 Teaching of Mathematical Concepts -- 2.6.2 Teaching of Mathematical Propositions -- 3 Secondary School Mathematics Thinking -- 3.1 Meaning of Mathematical Thinking -- 3.2 Methods of Secondary School Mathematics Thinking -- 3.2.1 Observation and Experimentation -- 3.2.2 Analysis and Synthesis -- 3.2.3 Comparison and Classification -- 3.2.4 Abstraction and Generalization 001472273 5058_ $$a3.2.5 Concretization, Specialization, and Systematization -- 3.2.6 Analogy, Induction, and Deduction -- 3.2.7 Imagination and Intuition -- 3.3 Quality of Secondary School Mathematics Thinking -- 3.3.1 Broadness of Thinking -- 3.3.2 Profoundness of Thinking -- 3.3.3 Criticalness of Thinking -- 3.3.4 Flexibility of Thinking -- 3.3.5 Sense of Organization of Thinking -- 3.3.6 Creativity of Thinking -- 3.4 Cultivation of Mathematical Thinking Ability in Secondary Schools -- 3.4.1 Divergent Thinking and Its Basic Approach to Development -- 3.4.2 Reverse Thinking and Its Basic Approach to Development 001472273 5058_ $$a3.4.3 Creative Thinking and Its Basic Approach to Development -- 4 Secondary School Mathematics Methods -- 4.1 Meaning of Mathematical Methods -- 4.1.1 Meaning of Mathematical Methods -- 4.1.2 Approaches to Studying Mathematical Methods -- 4.1.3 Significance of Studying Mathematical Methods -- 4.2 Reduction Method -- 4.2.1 Overview of Reduction Method -- 4.2.2 Direction of Reduction -- 4.2.3 Methods of Reduction -- 4.2.4 Understanding Reduction Dialectically -- 4.3 Discovery Methods -- 4.3.1 Analogy Method -- 4.3.2 Induction Method -- 4.3.3 Association Method -- 4.3.4 Intuitive Method 001472273 506__ $$aAccess limited to authorized users. 001472273 520__ $$aThis book elucidates the principal aspects and characteristics of secondary school mathematics teaching and learning in China. It combines the cultivation of students' mathematical abilities with the improvement of teaching skills, and explores from both theory and practice to create mathematical pedagogy which has been widely recognized by experts in this field. This book presents a number of mathematics teaching principles and methods, and has been used as an important resource book for mathematics teachers education. 001472273 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 15, 2023). 001472273 650_0 $$aMathematics$$xStudy and teaching (Secondary) 001472273 655_0 $$aElectronic books. 001472273 7001_ $$aYao, Youben. 001472273 7001_ $$aPan, Hailin. 001472273 77608 $$iPrint version:$$aZhang, Shizao$$tThe Pedagogy of Secondary-School Mathematics$$dSingapore : Springer,c2023$$z9789819912476 001472273 852__ $$bebk 001472273 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-99-1248-3$$zOnline Access$$91397441.1 001472273 909CO $$ooai:library.usi.edu:1472273$$pGLOBAL_SET 001472273 980__ $$aBIB 001472273 980__ $$aEBOOK 001472273 982__ $$aEbook 001472273 983__ $$aOnline 001472273 994__ $$a92$$bISE