Thông tin tóm tắt về luận án: “Phát triển tư duy thuật giải và tư duy kỹ thuật cho Sinh viên Cao đẳng kỹ thuật trong dạy học môn Toán cao cấp” của nghiên cứu sinh Nguyễn Đức Thành

SUMMARY ON NEW CONCLUSIONS OF DOCTORAL THESIS

 Title: “Developing algorithmic thinking and technical thinking for students of technical college in teaching advanced Mathematics”

Major: Theory and Tactics of teaching Mathematics

Code: 62.14.01.11

Post-graduate: Nguyen Duc Thanh

Scientific supervisors: 1. Assoc. Prof., PhD. Ton Than; 2. Assoc. Prof., PhD. Nguyen Thi Lan Phuong

Training institute: Vietnam Institute of Educational Sciences

SUMMARY ON NEW CONCLUSIONS OF THE THESIS

1.   Offer six components of developing algorithmic thinking; offer four components of developing technical thinking in teaching Mathematics; clarify structure of technical thinking in teaching mathematics and give opinion on technical thinking in teaching Mathematics;

2.   From the curriculum of advanced Mathematics used for teaching Students of Technical Colleges, point out some contents which are potentially exploited during the teaching to develop the algorithmic thinking and technical thinking for technical students. Indicate four orientations of construction and carry out measures of developing algorithmic thinking and technical thinking in teaching advanced Mathematics for Students of Technical Colleges.

3.   The thesis proposes three groups of measures used for developing the algorithmic thinking and technical thinking for Students of Technical Colleges in teaching advanced Mathematics, detailed as follows:

-      Group of measures N1: Include three measures of developing the algorithmic thinking for students of Technical Colleges in teaching advanced Mathematics.

   Measure 1 (N1): Provide instructions for students to establish their knowledge subject to a procedure of limited steps to lead to knowledge included in lessons.

   Measure 2 (N1): Practise students the habit of dividing complicated problems into more simple ones which are solved in a certain procedure.

   Measure 3 (N1): Educate the awareness of checking required conditions before implementation of any operation, regularly assess results and operations in order to overcome any mistakes, improve processes and bring about high effectiveness during the operation.

-       Group of measures N2: Include three measures of developing the technical thinking for students of Technical Colleges in teaching advanced Mathematics.

   Measure 1 (N2): Increase activities of exploiting cases which contain technical components in mathematics.

   Measure 2 (N2): Exploit mathematical problems with data in figure and use technical tools to support the calculation when solving problems and apply mathematics in practice.

   Measure 3 (N2): Make use of actual technical cases in teaching mathematical knowledge and apply mathematical knowledge to explain the operation and use mechanism of technical devices.

-       Group of measures N3: Include two measures of developing the technical thinking and technical thinking for students of Technical Colleges in teaching advanced Mathematics.

   Measure 1 (N3): Pay attention to the application of visual teaching method to detect manners and procedure of using mathematical knowledge to solve specific problems in practice. 

   Measure 2 (N3): Apply cases of solving mathematical problems of which contents relate to trained occupations to educate students the awareness of complying with technical procedures and standards during the employment.