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A Cognitive Structure Theory and its Positive Researches in Mathematics Learning

Yu, Ping   (Mathematics & Computer School, Nanjing Normal UniversityUU0016378  );
  • 초록

    The concept field is defined as the schema of all equivalent definitions of a mathematics concept. Concept system is defined as the schema of a group concept network where there are mathematics relations. Proposition field is defined as the schema of all equivalent proposition sets. Proposition system is defined as a schema of proposition sets where one mathematics proposition at least is "derived" from the other proposition. CPFS structure that consists of concept field, concept system proposition field, proposition system describes more precisely mathematics cognitive structure, and reveals the unique psychological phenomena and laws in mathematics learning.


  • 주제어

    mathematics learning .   cognitive structure .   concept field .   concept system .   proposition field .   proposition system .   the Growth Teaching Strategy (GTS).  

 저자의 다른 논문

  • Yu, Ping (6)

    1. 2005 "The Main Problems of Internal Professional Structure of Mathematics Teachers in Middle Schools" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 9 (2): 97~113    
    2. 2009 "A Study on Influential Factors in Mathematics Modeling Academic Achievement" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 13 (1): 31~48    
    3. 2010 "Research of the Relationships between Self-control, Thinking Quality and Mathematical Academic Achievement for Senior School Students" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 14 (1): 79~98    
    4. 2012 "Study of Behaviors of Teachers' Evaluation Based on Algebra Classrooms" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 16 (4): 207~216    
    5. 2012 "A Comparative Study on High School Students' Mathematical Modeling Cognitive Features" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 16 (2): 137~154    
    6. 2015 "The Study about the Influence of Mathematics Language on Mathematics Reading" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 19 (4): 267~278    

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