Download A Cognitive Analysis of U.S. and Chinese Students' by Jinfa Cai PDF

By Jinfa Cai

Show description

Read or Download A Cognitive Analysis of U.S. and Chinese Students' Mathematical Performance on Tasks Involving Computation, Simple Problem Solving, and Complex problem solving (Journal for Research in Mathematics Education, Monograph, N.º 7) PDF

Similar education books

Pearson Baccalaureate: Higher Level Physics for the IB Diploma

Built particularly for the IB degree to supply whole insurance of the most recent syllabus standards for Physics and all of the larger point strategies, this ebook is written through a hugely skilled IB instructor, examiner and workshop chief. This booklet makes use of a mix of enticing actions and correct suggestion to supply scholars with the instruments and information required to reach their larger point Physics IB examinations.

Studies in Immersion Education (The Language and Education Library, 11)

A suite of stories on French immersion concentrating on: programme review and evaluate; curriculum and guideline; and instructor schooling. This quantity examines the impression of immersion on academic coverage, scholar results, moment language curriculum and instructor schooling.

Higher Education Assessments: Leadership Matters (The American Council on Education Series on Higher Education)

Larger schooling tests: management issues displays the paintings of a decide on staff of researchers, students, and practitioners in larger schooling overview with the objective of making a choice on innovations that support senior campus leaders as they reply to the demanding situations of a altering financial panorama and political weather.

Extra info for A Cognitive Analysis of U.S. and Chinese Students' Mathematical Performance on Tasks Involving Computation, Simple Problem Solving, and Complex problem solving (Journal for Research in Mathematics Education, Monograph, N.º 7)

Sample text

Findings from the SIMS showed that Japanese students thought the mathematics tested was more difficult than American students did, and they liked it less than students from the United States. Japanese students also thought that mathematics was more important than American students did. , 1992) reported that most students from China and Korea did not view mathematics as a subject to be memorized, whereas more than half of the American students believed that learning mathematics is mostly memorizing.

Bjorklund, 1990), children's strategies in solving problems are closely related to their cognitive development. Psychologists have also found that older children use more sophisticated strategies than younger children and that cognitive strategies are mediators of cognitive development. In mathematics, from simple counting tasks to complex mathematical problem solving, individuals use different strategies (Carpenter, Moser, & Romberg, 36 Theoretical Basis of the Study 1982; Schoenfeld, 1979, 1985; Siegler & Shrager, 1984).

332) These previous investigations demonstrated the value of error analysis in capturing students' understanding of mathematical knowledge. The examination of students' misconceptions provides an indication of their proficiencies in mathematical problem solving and reasoning. Mathematical justz$cation. 29), "make and evaluate mathematical conjectures and arguments," and "validate their own thinking" (p. 81). Studies by Senk (1985, 1989) showed not only that students have great difficulty in providing sound mathematical justifications when solving geometric proof problems but also that the degree of difficulty was related to students' levels of geometric thought.

Download PDF sample

Rated 4.43 of 5 – based on 46 votes