The conception of education transition period for higher mathematics is proposed by analyzing the structural characteristics of both mathematical knowledge and students' thinking and explaining several problems worthy of attention in teaching during the above period.
To the question of the above, beginning with explaining mathematics forming process learning process and character of mathematics knowledge ,the research have analyzed the factors in mathematics knowledge characteristic and teacher's factor , student's factor , family's factor systematically.
Studies the fuzzy control algorithm based on generalized fuzzy approximation theory and applied control theory and math knowledge and presents the new fuzzy control algorithm to interconnect α and e and the optimization of the algorithm using． Genetic algorithm and concludes from results of comparison that the new algorithm is better and reliable．
4. teacher of math should apply constructivist perspective teaching,namely change math knowledge into constructivist problem for further exploration, students solve the new problem with the elicitation of the teachers by themselves, and thereafter let possible the construction of new knowledge.
Since the eighties of the 20th century,the setup of math experiment at college provides essential math knowledge and software platform for students to solve problems themselves. Its effects are evident.
In order to strengthen the accomplished education, this article thinks that in maths teaching the ability training of the following some fields should be paid attention : first, the ability of studying the new maths knowledge ;
Whole maths education deals with questions from nature, society and human thinking, aims at maths knowledge requisition and competence development, and treats maths as knowledge to learn and tool to use.
The creation thought in maths studying refers mainly to that students apply maths knowledge and maths methods to solve those questions that haven't been managed, or refers to the thought of providing unique settling ways.
By using Mie's theory, the boundary conditions, and some advanced mathematical knowledge, the scattering problem of a plane-wave by bi-sphere groups and of cores-traversed coherent Gauss-beams by one sphere was addressed.
The core mathematical knowledge contained in our program is composed of rules that embody the results of mathematical theorems from nonlinear singular perturbation theory.
Neither absolutism nor aposteriorism have questioned the progressive elements associated with the applications and the social functions of mathematical knowledge.
This means that mathematical knowledge only gains its specific epistemological meaning within a social context and that the development and understanding of mathematical knowledge is strongly influenced by the social context.
A concept of teaching basic mathematical knowledge and skills related to the vocational training of master craftsmen in the field of electrical engineering and metal engineering is described.
We start from the assumption that school mathematics knowledge could be better explained if social practices were considered to be generators of knowledge.
This perspective changes the way we look at what school mathematics knowledge is and what it takes to teach and learn it.
In particular, there is limited information about how we might go about systematically characterising the key dimensions of quality of teachers' mathematics knowledge for teaching and connections among these dimensions.
Facilitating preservice teachers' development of mathematics knowledge for teaching arithmetic operations
The study also finds that the mathematics knowledge subscale scores best discriminate those passing from those failing the CBEST.