共查询到19条相似文献，搜索用时 125 毫秒
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解题及解题教学,不仅要注重如何获得问题的解,而且应寄希望于对"解"的进一步分析以增强数学能力、优化认知结构、提高思维素质、学会"数学思维",学习数学的重要目标之一在于怎样学会解题.考试,体现出来的往往就是学生能够解题、善于解题. 相似文献
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解题是实现数学教学目的的一种手段，也是数学教学活动的重要形式．学生的认知结构包括知识结构和认识结构，当学生的认知结构不能同化他所接触的题目时，就发生解题错误，数学解题的错误其终极表现必然在数学知识上．学生知识结构和认识结构不完善是数学解题错误的两个主要原因．数学逻辑性错误是认知结构不完善的常见错误之一． 相似文献
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梁柏林 《中国教育技术装备》2008,(24)
数学开放性试题,主要是发挥学生在解题中的主体作用,适宜于学生根据自己的认知结构对问题作出解答,获得认知结构的改造和重组。数学开放性试题被普遍认为是最富有教育价值的一种数学题型。主要谈如何运用开放性试题提高初中生的数学思维能力。 相似文献
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本文以中学数学教学中的数学思想和数学方法为线索,依据学生数学学习的认知规律,论述了中学数学问题情境的创设及理解与解题过程的认知建构等问题,包括中学数学教学的认知及建构性探究活动、如何创设数学教学中的问题情境、数学问题的理解与解题的认知过程等。 相似文献
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数学解题的有意义学习 总被引：17，自引：5，他引：17
解决数学问题的学习是寻求解决数学问题方法的一种心理活动，是一种高级形式的学习活动，数学解题学习是有意义发现学习的数学解题认识观，数学的解题认知结构由解题知识结构，思维结构和解题元认知结构组成，“理解题意和解题回顾”是数学解题有意义学习的最重要环节。 相似文献
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姜兴荣 《中学数学研究(江西师大)》2003,(11):8-10
数学解题的探索过程总是在解题者的一定认知结构中进行的,解题方法是所给条件信息刺激解题者认知结构中相关因素并与之相互作用的产物.本文就解题探索过程中数学思想方法的引发及对解题的导向作用作一简要讨论,现举例说明如下. 相似文献
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《校园英语(教研版)》2014,(27)
数学解题是巩固知识、运用知识和解决问题、提高能力的重要途径。本文结合初中数学学科特点、数学教学的实际和学生的认知规律,讨论在新课程下如何培养学生的解题能力,以提高学生的综合解题能力。 相似文献
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通过整理近年来关于小学数学应用题的相关研究,总结学生在应用题解题过程中普遍存在的认知障碍,结合现有解题系统分析研究各类型的认知工具对小学应用题解题障碍的支持,为帮助学生选择合适的认知工具提供借鉴,并在此基础上提出基于问题解决障碍的小学数学应用题解题系统的模型构建,为新的认知工具的设计开发提供新的角度。 相似文献
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Hassan Alamolhodaei 《Asia Pacific Education Review》2009,10(2):183-192
The main objective of this study is (a) to explore the relationship among cognitive style (field dependence/independence),
working memory, and mathematics anxiety and (b) to examine their effects on students’ mathematics problem solving. A sample
of 161 school girls (13–14 years old) were tested on (1) the Witkin’s cognitive style (Group Embedded Figure Test) and (2)
Digit Span Backwards Test, with two mathematics exams. Results obtained indicate that the effect of field dependency, working
memory, and mathematics anxiety on students' mathematical word problem solving was significant. Moreover, the correlation
among working memory capacity, cognitive style, and students’ mathematics anxiety was significant. Overall, these findings
could help to provide some practical implications for adapting problem solving skills and effective teaching/learning. 相似文献
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The purpose of this research was to examine the antecedents and consequences of epistemic and activity emotions in the context of complex mathematics problem solving. Seventy-nine elementary students from the fifth grade participated. Students self-reported their perceptions of control and value specific to mathematics problem solving, and were given a complex mathematics problem to solve over a period of several days. At specific time intervals during problem solving, students reported their epistemic and activity emotions. To capture self-regulatory processes, students thought out loud as they solved the problem. Path analyses revealed that both perceived control and value served as important antecedents to the epistemic and activity emotions students experienced during problem solving. Epistemic and activity emotions also predicted the types of processing strategies students used across three phases of self-regulated learning during problem solving. Finally, shallow and deep processing cognitive and metacognitive strategies positively predicted problem-solving performance. Theoretical and educational implications are discussed. 相似文献
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Yujing Ni Qiong LiXiaoqing Li Zhong-Hua Zhang 《International Journal of Educational Research》2011,50(2):100-116
This study investigated curriculum influences on student mathematics achievement by following two groups of students from fifth to sixth grade that were taught either the reformed curriculum or the conventional curriculum. Analyses with three-level modeling were conducted to examine learning outcomes of the students who were assessed three times over a period of 18 months. Achievement was measured with regard to computation, routine problem solving, and complex problem solving. Affective aspects included self-reported interest in learning mathematics, classroom participation, views of the nature of mathematics, and views of learning mathematics. The results showed overall improved performance among all the students over the time on computation, routine problem solving, and complex problem solving but not on the affective measures. There were differentiated patterns of performance between the groups. On the initial assessment, the reform group performed better than the non-reform group on calculation, complex problem solving, and indicated higher interest in learning mathematics. The two groups did not differ on the other achievement and affective measures at the first time of assessment. There was no significant difference in growth rate between the groups on the cognitive and affective measures except that the non-reform group progressed at a faster pace on calculation. Therefore, the non-reform group outperformed the reform group on computation at the third (last) assessment. These results are discussed with respect to the possible influence of the curriculum on student learning. 相似文献
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Nan Zhu 《International Journal of Disability, Development & Education》2015,62(6):608-627
This study investigated the impact of cognitive strategy instruction (CSI) on mathematical word problem solving of students with mathematics disabilities. A sample of fourth-grade students in a Chinese primary school was divided into a treatment group (75 students) and a comparison group (75 students). The sample consisted of students with mathematics disabilities only, students with both mathematics and reading disabilities, as well as average- and high-achieving students. Results showed that students at all ability levels (except high-achieving students) in the treatment group outperformed significantly their counterparts in the comparison group; the intervention effect was stronger for students with mathematics disabilities only than for those with both mathematics and reading disabilities. The present study indicates that CSI is a contextually and pedagogically appropriate model that has a strong potential to improve mathematical word problem solving. 相似文献
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Two important aspects of transfer in mathematics learning are the application of mathematical knowledge to problem solving and the acquisition of more advanced concepts, both in mathematics and in other domains. This paper discusses general assumptions and themes of current cognitive research on mathematics learning, focusing on issues of the understanding thought to facilitate transfer of mathematical knowledge. Two studies illustrating these themes are presented, one concerning students' understanding of numerical relationships involved in basic addition and subtraction combinations, the other dealing with students' understanding of algebraic expressions and transformations. Implications of these cognitive perspectives for instruction are discussed. 相似文献
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The present study aims to explore the use of assessment in mathematics content courses for future elementary school teachers.
Analysis of self assessment data on mathematical understanding and peer assessment data on oral mathematical presentation
showed that pre-service teachers had a balanced understanding of procedural knowledge and problem solving. Conceptual understanding
was not in the structure of pre-service teachers’ mathematical knowledge. Understandings of conceptual knowledge, procedural
knowledge, and problem solving had no meaningful effects on gains in mathematics performance. Aspects of oral mathematical
presentation were associated with improved understanding of procedural knowledge and in particular conceptual knowledge. The
result of the study calls for a conceptual approach to mathematical knowledge and sufficient mathematical problem solving
in college-level mathematics content courses and in particular the infusion of assessment into college-level mathematics education
for pre-service teachers. 相似文献