Showing papers in "Journal on Mathematics Education in 2004"

Influence of Self-controlling Ability and CPFS Structure on the Mathematical Achievement in High School Students

Abstract: The influence of self-controlling ability and CPFS structure on the mathematical achievement in high school students were studied. The result showed: (1) Individual抯 self-controlling ability and CPFS structure had an important effect on the mathematical achievement. (2) Comparing students of high-achievement with students of low-achievement, there existed distinct difference between self-controlling ability and CPFS structure. (3) Individual抯 math self-controlling ability and CPFS structure had distinct effect on their math performance, and the CPFS structure had greater effect on self-controlling ability. (4) Individual抯 math self-controlling ability and their CPFS structure had relatively independent effect, however, there was no distinct relativity, but they complement each other.

Some Thoughts on Teaching Reform of Higher Mathematics Course

Abstract: This paper analyzed the serious problem that existed in teaching content, teaching method, teaching means and teaching mode of higher mathematics in the universities of China at present, and pointed out the necessity and urgency of carrying out the reform in teaching higher mathematics, and then put forward the corresponding train of thought of the reform. In order to meeting the needs of quality-oriented education and social development, training students?ideation and the ability of solving practical problem should be in an important position.

Six Cognitive Stages in the Teaching for Function Concept

Abstract: Function was a key content of middle school mathematics In this paper, the author intended to divide the learning process into 6 stages for the construction of functional knowledge: understanding variables, stressing relations, employing formula, knowing correspondence, grasping formal description, and understanding it as an object

Concept and Educational Value of Algorithm

Abstract: Algorithm was one of more important new concepts in the Mathematics Curriculum Standards of High School. In this paper, we investigated the concept, contents and educational value of algorithm, and we also warmly expected that there would be more discussion on the theme of algorithm.

Introduction and Remark of the USA Textbook for the Graduates Majoring in Mathematical Education

Abstract: Teaching Mathematics in Secondary and Middle School, a textbook for the graduates majoring in mathematical education in USA, was quite different from Mathematics Pedagogy or Mathematics Instructional Theory in Secondary and Middle School that were widely used in our country The USA textbook had some typical characters such as having definite goal, laid stress on the key points, the writing style being beneficial to and suitable for teachers teaching and students learning by themselves; emphasizing the integrality and relevance of the content, integration of theory and practice, differentiate teaching idea and how teachers managed the teaching materials

Analysis of the Psychological Process of Mathematics Problem Solving

Abstract: This paper analyzed the psychological process of mathematics problem solving. The process consisted of four links: be aware of the problem; to represent the problem; to determine the strategies of solving problem and try to use a concrete method; evaluation and reflection.

Thinking about Mathematics Teaching

Abstract: There were three levels during the course of mathematics teaching: teaching the students with knowledge, teaching the students with method, teaching the students with theory As a teacher, you should pay attention the 4 combinations: history and logic, figure and shape, theory and application We should try our best to improve the students all kinds of capabilities, such as how to find out the difference between different things As additional, a teacher should perform his first lesson well and try to gain the experience on time

Mistaken Idea and Countermeasure of Mathematics Group Cooperation Learning

Abstract: Mathematics cooperation learning was the popular learning way of mathematics teaching at present Among the operating process corresponding measures should be taken to some mistaken ideas——Laying stress on cooperating instead of individual character, on the result instead of process, on main part instead of leading part, on formality instead of exploration and on the lesson instead of after class We should make mathematics group cooperative learning more reasonable and get close to the essence of cooperation learning

Criticism to the Certainty of Mathematics

Abstract: The great crisis in the history of mathematics had shaken the basis of this magnificent mansion, and the appearance of Godels Incomplete Theory had also darkened the rays of the certainty of mathematics completely Combining with three teaching cases, the author tried to gave a critical analysis to the so-called mathematical certainty

Introduction of Mathematics Education Curriculum Development around the World——Summary of Selected Papers of the International Conference of the Reform of Mathematics Curriculum and Its Education in the 21st Century

Abstract: During August in Chongqing of China, Southwest China Normal University held the International Conference of the Reform of Mathematics Curriculum And Its Education in the 21st Century. This Beijing ICM 2002 Satellite Conference provided an invaluable opportunity for the participants to examine mathematics education curriculum development from an international perspective, as well as to consider problems encountered. It also provided opportunities for us to reflect on our own curriculum reform. As it was desirable to make known the proposals of the invited speakers to the Chinese audience, this paper summarized curriculum developments in countries that had a bearing on China’s forthcoming curriculum reform, as well as to make an initial comparison between the Eastern and Western countries.

How the Mathematics Education in Normal College and University Meets the Challenge from the New Mathematics Curriculum in the Elementary Education

Abstract: The mathematics education in normal college and university aiming to train the mathematics teacher for Middle School had been confronted with the new challenges, which mainly came from the implementation of the new mathematics curriculum in the elementary education To meet the challenges, the following strategics would be taken by the mathematics education in normal college and university: reinforcing education to the college and university students in emotion, attitude and outlook on valuation; adjusting the curricular system and contents; advocating the new learning styles; changing the traditional teaching styles; reforming the teaching management and evaluation styles

Conformity of Information Technology and Mathematics Teaching

Abstract: Conformity of information technology and mathematics teaching was not merely the combination of the two, but scientific integration, which included: improving the learning environment. The author of the paper aimed to renovate mathematics teaching by applying multimedia and internet in the teaching procedures, carrying out mathematics experiments with software, and starting personal mathematics teaching and learning website.

Emphasis on Methodology as Basis of Studies in Mathematics Education

Abstract: Methodology was the basis of carrying out a study in mathematics education, which was different from the methods. Action Research, aimed at “practicing” and “promoting”, was a situation-oriented methodology. And a study on (mathematics) teacher education was based on the improved action research as its basis of methodology. The goals of research decided the choosing of methodology and this was should be paid more attention.

Topic about the Mathematical Holography Method and Its Use in Study and Teaching in Mathematics

Abstract: The universal holography regularity of aerospace was reflected on mathematics which a human tool acquainted universe, was the mathematical holography regularity which a universal regularity on mathematics. The mathematical holography method was based on the mathematical holography regularity, and its departure was the mathematical holography unit. To utilize period research time function and to utilize cell research mathematical structure, and so on, were illustration. And then the mathematical holography method was a power that promotes mathematics invention. The mathematical holography method was wide-ranging used in teaching of mathematics.

According to the New Math Course Standard——a Talk on the Roles of a Teacher in Teaching Practice

Abstract: After reviewing these scenes with profundity, the author realized that: (1) Some application problems in the textbook were very helpful to students thinking development and talent building. A teacher should deeply understand the textbook compilers intension and act a good director role in the teaching situation. (2) Some hint in the textbook should restrict the development of students thinking to some extent. A teacher had to critically use the textbook and reorganize the teaching material as a scenarist rewrites a novel and set up such a teaching situation as to provide happy feeling experience, gradual knowledge development and creative thinking environment. (3) Sometimes a teacher had to play a role of an actor just as a student did in a teaching situation and made the research on some open problems with the students together.

Problem and Strategy on Cooperative Learning in Implementation of New Mathematical Curriculum

Abstract: This article analyzized six problems in the process of implementing of cooperative learning in new mathematical curriculum, and put forward strategies: (1) scientific grouping; (2) leading us to cooperative learning; (3) enhancing individual duty; (4) paying attention to cultivation of cooperative method and sociality skill; (5) strengthening classroom management in cooperative learning; (6) confirmity of cooperative learning and other teaching form.

Strategies of Math Creating Situation and Posing Problem in the Elementary Schools Junior and Senior High Schools

Abstract: Aim at developing of the students’ creative ability, we devised some actable strategy through analyzing the teaching of mathematical situations and posing problems

Effect of The CPFS Frame to Transfer on Mathematical Problem Solving

Abstract: The schema that all equiralent definitions to a mathematical concept was called a concept field about concept C. The schema of concept network that these concepts had some mathematical abstract relation was called concept system. The schema composed by a group of equivalent propositions was said to proposition field. In a set of propositions if an arbitrary proposition at least had a deducing relation with any other one, then this set of propositions was called a proposition system. Concept field, concept system, proposition field and proposition system (they are noted as CPFS frame) was an accurately description of cognitive structure of mathematics, they reflected a especial psychology phenomena in mathematics learning. The effect of CPFS frame to transfer in problem solving had been examined by experimental research. The result showed that there was a close correlation between individual’s CPFS structure and far transfer. Integreted CPFS structure helped to bring about far transfer.