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1.
概念图是小学课堂中重要的教学手段,它可以通过图片的形式,将数学知识点之间的联系表达出来,有利于培养学生的数学学科综合素养。本次研究根据小学生的特点,帮助学生培养运用概念图的习惯,以期获得良好的小学数学教学效果。 相似文献
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混合式教学,既是把面对面教学和在线学习两种学习模式进行整合,又是把传统学习方式的优势和网络学习方式的优势相互结合起来;既要发挥教师的引导、启发、监控的主导作用,又要体现学生的主动性、积极性、创造性的主体作用。 相似文献
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Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning provides the foundation for advanced mathematics and algebraic reasoning. For students who struggle in mathematics, instruction in multiplication algorithms should ensure conceptual understanding so that students have a foundation for success in advanced mathematics. The concrete representational abstract (CRA) sequence addresses conceptual understanding and the strategic instruction model (SIM) supports procedural knowledge. The current pilot study combined these methods to teach elementary students the partial products algorithm. Twelve students in grades four and five participated in the study, receiving instruction from teachers in their school during an intervention period. Within a pre-experimental design, using pre- and postintervention data, students showed a significant change in performance. The article will describe and show how teachers implemented the CRA-SIM interventions and discuss implications for practice. 相似文献
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Recruiting and preparing STEM majors for teaching has become one of the major efforts at improving mathematics and science teacher quality at secondary level. One question is whether STEM majors who have not had the chance to experience active learning in mathematics and science classes as secondary students themselves know what inquiry pedagogy is. Secondly, it is unclear whether those who experienced inquiry in their college introductory discipline courses will be able to utilize the pedagogy in teaching secondary content. We address these questions through studying an undergraduate research methods course designed to improve STEM majors’ capacity for delivering inquiry-based mathematics and science lesson. Analysis of data from pre-and-post course surveys and students’ written research reports including students’ reflection on their inquiry projects suggests that offering future STEM teachers opportunities to conduct inquiry and reflect explicitly on how inquiry can be used to teach secondary content is important and beneficial. 相似文献
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In traditional teacher-centered mathematics instruction, students might show low learning motivation owing to the lack of applied contexts. Game-based learning has been recognized as a potential approach to addressing this issue; however, without proper alignment between the gaming and math-applied contexts, the benefits of game-based learning could be limited. Therefore, this study aims to develop a microworld-based educational game, which provides simulated contexts encouraging students to explore, discover, and solve practical problems using the mathematics knowledge gained in the class. A quasi-experimental design was implemented in the learning activity of the “Speedy World” unit in an elementary school mathematics course to examine the effectiveness of the proposed approach. A total of 107 sixth graders participated in the experiment. The experimental results showed that the students who learned with the microworld-based gaming approach had better learning achievement and motivation in the mathematics course than those who learned with the conventional technology-enhanced learning approach. In addition, the students also showed that they highly accepted the microworld-based game for learning mathematics. The findings of this study provide good evidence for the importance and necessity of associating authentic applied contexts with gaming contexts in developing computer educational games for mathematics. 相似文献
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Problem-solving is regarded as a major component of mathematical performance, and well-designed problem-solving-based learning environments have the potential to assist students in developing a meaningful understanding of mathematical concepts and procedures. In this respect, given its various features, dynamic mathematics software has been regarded by mathematics educators as a promising tool for designing such environments. This study presents an example of the use of technology to create a dynamic learning environment through a discussion of the pedagogical value of a problem selected for an activity, followed by the implementation sequence of the problem-solving activity in the classroom. The students’ experiences during the implementation of the activity are also discussed; and finally, an additional version of the problem is recommended for use in the classroom. 相似文献
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Miroslav Lovric 《PRIMUS》2018,28(7):683-698
We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs, etc.), offers simulation and experimentation, invites discussions about structure, requires logic and testing strategies, and handles mathematics objects with an added feeling of reality. Focusing on novice and inexperienced programmers, we look for answers to the practice-oriented question, “How do students reason through their difficulties when using programming to explore a mathematics problem?” Following literature review and methodology, we build the programming model, which we use to study students' experiences as they approach a mathematical problem by writing computer code. Our research is based on analyzing students' in-class work and class notes, author's observations of students working on their computers, and his interactions with students in class and elsewhere. In the four case studies that we present we touch upon students' difficulties in working with complex conditional statements and recurrence relations. As well, we discuss cases where resolving a programming issue demands posing and answering mathematical questions. 相似文献
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Lisa Berger 《PRIMUS》2018,28(8):772-784
In this article we address the Common Core State Standard for Mathematical Practice: Attend to Precision. We describe work in mathematics content courses for pre-service and inservice teachers focused on developing teachers’ understanding of mathematical definitions. We discuss teachers’ work in developing definitions for students at various levels of mathematics, in generalizing a definition in order to extend the domain to which it may be applied, and in correcting teachers’ misconceptions. The work discussed in this article is consistent with the recommendations of the Conference Board of the Mathematical Sciences for the mathematics education of teachers. In explicit response to contemporary mathematics education research, the author presents constructive assessment prompts which lend themselves to formal study by mathematics education researchers. 相似文献