Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the se...Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the second perspective, those difficulties result from the interaction between the student and the school system. The objective of this study is to test the validity of these two perspectives in interpreting learning difficulties in mathematics among at-risk students. To this end, we collaborated with normally achieving （undiagnosed） and at-risk students. Results show that the second perspective is better suited to the interpretation of learning difficulties in mathematics students展开更多
It is of benefit to the development of the elementary school quality-oriented mathematics education to deepen the elementary school mathematics classroom teaching reform and review the fruits of classroom teaching. In...It is of benefit to the development of the elementary school quality-oriented mathematics education to deepen the elementary school mathematics classroom teaching reform and review the fruits of classroom teaching. In this paper, the author, with his own teaching practice, has summarized and reviewed the fruits of elementary school classroom teaching reform in four respects： 1） ＂integration of theory with practice＂ should be highlighted in this reform; 2） the classroom teaching should focus on the improvement of students＂ ＂mathematical thinking ability＂;3） mathematics classroom teaching should conform to the reality of our daily life; and 4） mathematics classroom teaching should help the students to build the ＂mathematical model thinking＂.展开更多
Objective： Case Teaching Method used in Primary Mathematics Pedagogy course can highlight the characteristics of pedagogy course. This method can transform learning process from the passive one in the conventional cl...Objective： Case Teaching Method used in Primary Mathematics Pedagogy course can highlight the characteristics of pedagogy course. This method can transform learning process from the passive one in the conventional classroom to an active one, so that classroom atmosphere will become active, inspiring students＇ interest in learning, and students would have the initiative to study. Meanwhile the Case Teaching Method also put forward higher requirements for teachers. This author does some analyses of the meaning of the case teaching method implementation methods and problems based on years of teaching experience. Detailed analyses can be shown as follow展开更多
We prove convergence for a meshfree first-order system least squares(FOSLS) partition of unity finite element method(PUFEM).Essentially,by virtue of the partition of unity,local approximation gives rise to global appr...We prove convergence for a meshfree first-order system least squares(FOSLS) partition of unity finite element method(PUFEM).Essentially,by virtue of the partition of unity,local approximation gives rise to global approximation in H(div)∩H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial point set in a meshfree dis- cretization.Preliminary numerical results are provided and remaining challenges are discussed.展开更多
文摘Research on learning difficulties in mathematics adopts one of two distinct perspectives. According to the first, learning difficulties are due to the intrinsic characteristics of the student. For supporters of the second perspective, those difficulties result from the interaction between the student and the school system. The objective of this study is to test the validity of these two perspectives in interpreting learning difficulties in mathematics among at-risk students. To this end, we collaborated with normally achieving （undiagnosed） and at-risk students. Results show that the second perspective is better suited to the interpretation of learning difficulties in mathematics students
文摘It is of benefit to the development of the elementary school quality-oriented mathematics education to deepen the elementary school mathematics classroom teaching reform and review the fruits of classroom teaching. In this paper, the author, with his own teaching practice, has summarized and reviewed the fruits of elementary school classroom teaching reform in four respects： 1） ＂integration of theory with practice＂ should be highlighted in this reform; 2） the classroom teaching should focus on the improvement of students＂ ＂mathematical thinking ability＂;3） mathematics classroom teaching should conform to the reality of our daily life; and 4） mathematics classroom teaching should help the students to build the ＂mathematical model thinking＂.
文摘Objective： Case Teaching Method used in Primary Mathematics Pedagogy course can highlight the characteristics of pedagogy course. This method can transform learning process from the passive one in the conventional classroom to an active one, so that classroom atmosphere will become active, inspiring students＇ interest in learning, and students would have the initiative to study. Meanwhile the Case Teaching Method also put forward higher requirements for teachers. This author does some analyses of the meaning of the case teaching method implementation methods and problems based on years of teaching experience. Detailed analyses can be shown as follow
文摘We prove convergence for a meshfree first-order system least squares(FOSLS) partition of unity finite element method(PUFEM).Essentially,by virtue of the partition of unity,local approximation gives rise to global approximation in H(div)∩H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial point set in a meshfree dis- cretization.Preliminary numerical results are provided and remaining challenges are discussed.
