The Research On Setting And Teaching Of Risk-based Decision Making Of Mathematics In High School

Through the investigation and analysis of the background of new curriculumreformation and the statement of the high school teachers' related knowledge on theelective subject "Risk-based Decision Making" in the new mathematics courses, thepaper takes an elementary research on the setting of the elective subject "Risk-basedDecision Making" and its teaching. In the paper, it analyses the necessity of the"risk-based decision making" which was first fixed in the new reformation onMath-course, and researches its content setting and characteristic. The paper analysesthe basis of related theories on its teaching, does some elementary explore on itsteaching design, and also gives some related suggestions in the implementation.As the 9th subject in the 4th elective series, "Risk-based Decision Making" appearsin the mathematics course of high school in the new curriculum reformation. The essayprobes into the necessity of "Risk-based Decision Making" in the new curriculumreformation from the following aspects: the reformation and development trend ofinternational mathematics curriculum, the development of mathematics, the request ofthe social development and the need of students' development. In the paper, it alsoanalyses the content setting of "Risk-based Decision Making", builds up contentsstructure form and analyses its characteristics briefly.Because the teaching design of "Risk-based Decision Making" needs basing onrelated theories, the essay chooses constructivism, humanism, Dewey's empiricism,reflective practice and reflective thinking theory as a basis, and acquires machbeneficial inspiration. In mathematics teaching, the concrete applications ofConstructivism includes: establishing a problem scene actively, proposing worthyproblems hardly, advocating mathematics experiments, enlightening the students toinvestigate actively and guiding the students to learn introspecting. We can apply thesestrategies to the teaching of "Risk-based Decision Making". As an important theory,theory of The Zone of Proximal Development has an importantly heuristic effect onteaching design. Humanism instructs us that teaching design should be based onstudents' development. Empiricism inspires that studying the content of "Risk-basedDecision Making" is supposed to be build on students' daily experience. In the course ofteaching "Risk-based Decision Making", reflective practice and reflective thinkingtheory also can direct teachers to carry on reflection and investigation.Under the instruction of basic belief of new-courses-teaching philosophy, the paperresearches on the teaching design of "Risk-based Decision Making" elementarily andsystematically through three aspects including teaching target, teaching process andteaching evaluation. Under the instruction of basic belief of the new course teachingdesign: we researches and establishes the teaching target analysis form of this electivesubject, and analyses teaching process from the following sides: 1. Designing teachingactivities should be based on students' development;2. The teaching content shouldvalue the actual background of the theoretic knowledge;3. While attaching importanceto the basic knowledge, it should develop the students' abilities of making use of"Risk-based Decision Making" to solve problems;4. Teachers should provide thefulfillment opportunities, so that students can experience the whole process of usingdecision knowledge to solve problems;5. It should establish a scene and stress theeffect of "Risk-based Decision Making" in resolving the actual problems, so that thestudents' consciousness of mathematics application can be promoted;6. It can make useof "Risk-based Decision Making" to perfect students' daily thinking abilities. In thepaper, it briefly analyzes teaching evaluation from three aspects below: evaluationcontent should be comprehensive, carrying out dynamic evaluation and diversificationof evaluation. It also uses the concept and characteristic of risk as the case to carry onteaching design.Through theoretic analysis, the paper also puts forward some suggestions inimplementing the content of "Risk-based Decision Making", which includes:suggestions on compiling teaching material, suggestions on preparing lessons forteaching, suggestions on how to select courses and suggestions on the time when thecourse starts.