Walking with New Curriculum: The Psychology of Mathematics Learning and Teaching

Author: He Xiaoya
Publisher:
Publish Date: 2003-06-01
Features: With the official publication and release of the "Full-Time Compulsory Education Mathematics Curriculum Standards (Trial Edition)," the new curriculum reform in basic education has been fully implemented in China. However, whether the new curriculum reform can truly take root depends on whether teachers can truly transform their concepts. The transformation of teachers' concepts depends on whether they possess modern mathematics education theoretical knowledge in their professional quality. This book provides a psychological theoretical foundation for the implementation of the new mathematics curriculum. For example, the content of the book involves the student perspective and teaching philosophy of the new mathematics curriculum, the transformation of learning methods, stimulus-response learning theory, which has guiding significance for analyzing errors in mathematics learning and understanding the acquisition patterns of mathematical symbols, insight learning theory, which is very helpful for grasping the essence of mathematical objects and solving problems, cumulative learning theory closely related to mathematics learning, discovery learning theory, which has a positive impact on training students to discover, propose, and cultivate innovative awareness, cognitive assimilation theory directly linked to the construction and development of mathematical cognitive structures, and information processing theory, which has a brand-new meaning for understanding the mathematical thinking process. In addition, the construction theory of mathematical cognitive structures, the psychological analysis of teaching and learning of mathematical concepts and principles, mathematical problem-solving, mathematical thinking, mathematical ability and its cultivation, and other content are of great guiding significance for improving the theoretical level of mathematics teachers and guiding the reform of mathematics teaching. This book is one of the research achievements of the Ministry of Education's Higher Education Department Project "Research on the Cultivation Goals and Curriculum Optimization of Higher Normal Mathematics Education in the 21st Century" (Project Approval No.: JS145B). The lecture notes of this book were once used as training materials for national-level primary and secondary school mathematics backbone teachers, Guangdong Province primary and secondary school mathematics backbone teachers, and Guangdong Province basic education mathematics new curriculum backbone trainers, and were well-received by all the trainees. The theory of this book is relatively deep and systematic, and the cases are also rich and typical. It is closely linked to teaching practice, reveals the laws of mathematics learning and mathematics teaching, and has strong practicality. It is the key for mathematics teaching novices to achieve success and the theoretical platform for mathematics teaching craftsmen to become mathematics teaching experts. This book is the training textbook for Guangdong Province's basic education mathematics new curriculum and is suitable for primary and secondary school mathematics teachers, students of mathematics education majors in various normal universities, postgraduate students of mathematics curriculum and teaching theory, mathematics education masters, mathematics teaching researchers at all levels, and mathematics education researchers.