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Problem-Posing-Based Mathematical Learning

Posted on:2007-02-16Degree:DoctorType:Dissertation
Country:ChinaCandidate:X Z LiFull Text:PDF
GTID:1117360185462375Subject:Curriculum and pedagogy
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In recent years, the research of problem posing is a very active field. In the field of curricula theory, cultivating students' the ability of problem posing is seen an important curricula goal; In the field of teaching theory, problem posing is regarded as an important teaching means; In the field learning theory, problem posing also is considered as an effective learning style. Problem posing is paid more attention for each branch of education subject, the reason is that, as a kind of learning ability, problem posing is not only benefit to foster creativity of students, but also it is also the base of students' learning and development for life .The researches for mathematical problem posing concentrated mainly at: the teacher's problem posing, the cultivation of the ability of student's problem posing and the relations between problem posing and problem solving etc. and that studying the relations between problem posing and problem solving is focus in this thesis. Former researches about the relations between problem posing and problem posing limited their relation of static state, lacked to explore their dynamic relation. Also adoptive research methods are almost quantity research, which can't explain the results logically. For this, this text will discuss thoroughly the relations between problem posing and problem solving from two aspects of dynamic and static state.For investigating the relations between students' problem posing and problem solving, uncovering the relations skeleton between problem posing and problem solving, problem posing and mathematical learning. This text set up three different problem situation which are open, semi-structure and structure problem situation. In pre-research, we carry out a questionnaire investigation of big samples which the students come from grade six to grade twelve. In normal research, we adopt quality research method, which are cases study of about twenty middle school students from grade eight, moreover, through interview and reflection journals to know more students' viewpoints.The main conclusions of this research as follows:(a) the research results of problem posing prior to problem solving indicate:The students with high ability of problem solving have the higher ability ofproblem posing, the students with low ability of problem solving also have the lowerability of problem posing. In conclusion, there is positive correlative relation betweenproblem solving and problem posing.
Keywords/Search Tags:mathematical learning, problem posing, problem solving, relationship
PDF Full Text Request
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