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1.
Rajiv Satsangi Rachel Hammer Christina D. Hogan 《Learning disabilities research & practice》2019,34(1):35-46
As classrooms begin to adopt a greater number of digital technologies such as computers and tablets, it is important for educators to understand how effective such tools can be in aiding in the delivery of instruction to students who struggle in mathematics, such as those identified with a learning disability in mathematics. One digital‐based instructional strategy with a limited research base for students with a learning disability is video modeling. Through a single subject alternating treatments design, this study compared the use of video modeling to face‐to‐face explicit instruction for teaching geometry word problems to three secondary students with a learning disability in mathematics. Across 10 sessions of intervention, all three students demonstrated improved performance on all dependent variables with both interventions, while the explicit instruction condition produced slightly greater accuracy scores for two of the three students. The results and their implications for the field of mathematics are discussed. 相似文献
2.
This study explored gender differences in the relationship between young people's mathematics attitudes and their perceptions
toward virtual manipulatives. Seven hundred eighty junior high school adolescents who participated in the problem-solving
activity using virtual manipulatives were selected for examination. The study found the male adolescents' views on motivation
and enjoyment of mathematics could explain many aspects of their perceptions toward virtual manipulatives. The female adolescents'
views on the importance of mathematics and freedom from fear of mathematics could explain many aspects of their perceptions
toward virtual manipulatives. However, motivation, enjoyment, and importance of mathematics were more prominent than freedom
from fear of mathematics in predicting male adolescents' perceptions toward virtual manipulatives, and freedom from fear and
importance of mathematics were more prominent than enjoyment and motivation of mathematics in predicting female adolescents'
perceptions toward virtual manipulatives. Two implications can be drawn from this study. First, teachers could provide males
with appealing problem contexts not only to be used to remove the fear of mathematics, but also to be used for enjoyment and
as motivation to see the importance of mathematics. Then male students could be encouraged to have more confirmed positive
perceptions toward virtual manipulatives when engaging in the activities of computer-based mathematics. Second, teachers could
provide females with interesting teaching activities, not only to be used for motivation and the enjoyment of mathematics,
but also to be used to remove the fear of mathematics and for experiencing the importance of mathematics. Then female students
could have positive perceptions toward virtual manipulatives when technology was integrated into the classroom to enhance
learning and to support effective mathematics teaching. 相似文献
3.
Tzu-Ling Wang Yi-Kuan Tseng 《International Journal of Science and Mathematics Education》2018,16(2):203-219
The purpose of this study was to investigate the relative effectiveness of experimenting with physical manipulatives alone, virtual manipulatives alone, and virtual preceding physical manipulatives (combination environment) on third-grade students’ science achievement and conceptual understanding in the domain of state changes of water, focusing on the concepts of evaporation and condensation. A pretest-posttest design was used that involved 208 third-grade students assigned to the three learning conditions. A science achievement test and a two-tier conceptual test were administered to students before and after a teaching intervention. The results revealed that using virtual preceding physical manipulatives and virtual manipulatives alone enhanced students’ knowledge gains about evaporation and condensation greater than the use of physical laboratory activities alone. It was also found that the combination environment promoted students’ knowledge gains about these concepts equally well as the use of virtual laboratory activities alone. On the other hand, the results showed that using virtual preceding physical manipulatives promoted students’ conceptual understanding most efficiently compared to the use of either physical or virtual manipulatives alone; in contrast, experimenting with physical manipulatives alone was least influential for students’ conceptual understanding compared to the other manipulatives. 相似文献
4.
Bradley S. Witzel Cecil D. Mercer M. David Miller 《Learning disabilities research & practice》2003,18(2):121-131
Abstract. Thirty‐four matched pairs of sixth‐ and seventh‐grade students were selected from 358 participants in a comparison of an explicit concrete‐to‐representational‐to‐abstract (CRA) sequence of instruction with traditional instruction for teaching algebraic transformation equations. Each pair of students had been previously labeled with a specific learning disability or as at risk for difficulties in algebra. Students were matched according to achievement score, age, pretest score, and class performance. The same math teacher taught both members of each matched pair, but in different classes. All students were taught in inclusive settings under the instruction of a middle school mathematics teacher. Results indicated that students who learned how to solve algebra transformation equations through CRA outperformed peers receiving traditional instruction on both postinstruction and follow‐up tests. Additionally, error pattern analysis indicated that students who used the CRA sequence of instruction performed fewer procedural errors when solving for variables. 相似文献
5.
6.
Patricia S. Moyer 《Educational Studies in Mathematics》2001,47(2):175-197
Teachers often comment that using manipulatives to teach mathematics is ‘fun!’ Embedded in the word ‘fun’ are important notions
about how and why teachers use manipulatives in the teaching of mathematics. Over the course of one academic year, this study
examined 10 middle grades teachers’ uses of manipulatives for teaching mathematics using interviews and observations to explore
how and why the teachers used the manipulatives as they did. An examination of the participants’ statements and behaviors
indicated that using manipulatives was little more than a diversion in classrooms where teachers were not able to represent
mathematics concepts themselves. The teachers communicated that the manipulatives were fun, but not necessary, for teaching
and learning mathematics.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
7.
Casey Hord 《Support for Learning》2023,38(1):4-16
The author briefly reviews studies on the math teaching of secondary school students with mild intellectual disabilities. Then, the author demonstrates ways to teach secondary-level mathematics to students with mild intellectual disabilities. In this article, readers will learn about how to use manipulatives, diagrams, and gestures to support students' thinking. Readers will also learn how to make connections between new and challenging math content to students' experiences inside and outside of school to support them as they think through mathematics. 相似文献
8.
We conducted a two-part study to examine how the use of different manipulatives, levels of instructional guidance, and collaboration among college-aged students influenced their mathematics performance and perseverance. In Study 1, we manipulated different types of manipulatives (no manipulative, bland, and perceptually rich), and different contextual factors of instructional guidance (high vs. low) to identify how they influenced students’ ability to complete mathematical problems as well as impact students’ perseverance. Findings showed that participants’ use of bland manipulatives positively impacts their ability to complete word problems. Study 2, grounded in findings from Study 1, incorporated collaborative learning to lessen the negative effects of using perceptually rich manipulatives and enhance students’ perseverance in mathematics. The results from Study 2 aligned with the findings from Study 1 concerning the negative effect of perceptual richness for problem-solving and perseverance. Moreover, the collaboration of participants had a positive effect on students’ perseverance during problem-solving as students who collaborated with perceptually rich manipulatives persevered as much as those who collaborated with bland manipulatives as well as those who worked individually with bland manipulatives. 相似文献
9.
Zeynel Kablan 《教育心理学》2016,36(2):277-296
The current study investigates the influence of manipulatives used in combination with traditional approaches to mathematics education and how varying amounts of time spent on manipulative use influence student achievement across different learning styles. Three learning environments were created that incorporated varying proportions of traditional teaching approaches and manipulative methods. In one of the learning environments, the teacher used strictly lecture- and exercise-based teaching activities, which are more conducive to abstract learning. Abstract learners showed higher academic performance compared with concrete learners in the environment where only traditional methods were used. For the other two environments, which utilised varying combinations of manipulative tools and traditional methods, the differences in the mathematics achievement levels among students of varying learning styles were not statistically significant. The study also showed that concrete learners demonstrated higher performance in mathematics when manipulatives were used than did their counterparts in the environment where only abstract activities were used; however, in the third learning environment, increasing the amount of manipulative use did not provide an extra benefit to concrete learners. 相似文献
10.
在培智数学教学中 ,笔者应用生活化教学法进行以下五方面内容的教学 :用生活化教学法进行式题、应用题、图形表象的教学 ;对教材中本来就生活化的内容进行教学 ;用生活化教学方法进行主题教学 ,使数学贴近弱智学生的生活实际 ,从而提高数学教学的效果。 相似文献
11.
Theoretical Perspectives and Empirical Evidence Relevant to Classroom Instruction with Manipulatives
The papers in this special issue focus on instructional strategies with manipulatives. Often described as “hands-on learning”, these strategies emphasize the use of physical and, more recently, virtual objects to represent target information and concepts. These strategies are frequently suggested as effective techniques for teaching across many domains of learning. This special issue presents contemporary theoretical perspectives and empirical evidence, regarding instructional manipulatives with a focus on application in classroom contexts. In this introduction, we present the primary topics of interest to the special issue and provide broad overviews of the contributors’ papers. 相似文献
12.
Educators often use manipulatives when teaching mathematics because manipulatives are assumed to promote learning. However, research indicates that instructional variables impact the effectiveness of manipulatives. In this article, the authors consider the relations between two instructional characteristics: (a) level of instructional guidance and (b) perceptual qualities of manipulatives. Results from the randomized experiment with preschoolers (N = 72) suggest that learning is improved when instruction is conducted with high levels of instructional guidance and is impacted by the perceptual qualities of manipulatives. Perceptually rich manipulatives decreased learner performance on outcomes associated with conceptual knowledge and improved performance on transfer of learning. In addition, transfer was positively affected by perceptually rich manipulatives when low levels of instructional guidance were present. 相似文献
13.
Using visual strategies simultaneously to support students with learning disabilities in mathematics
We provide insight into how multiple visual strategies can be used simultaneously to increase access to and success with challenging mathematics at the secondary level for students with learning disabilities. Drawing on a teaching philosophy based on recognising student strengths and needs, we argue the potential benefits of using visual strategies during instruction and intervention to best meet student needs. Examples from our work with a high school student with a learning disability are presented to provide insight into how visual strategies can increase understanding and success with mathematics as it becomes more abstract at the secondary level. We urge practitioners and researchers to explore the benefits of incorporating simultaneous visual strategies into secondary mathematics learning. 相似文献
14.
The focus of this paper is on the contribution that active touch sensory feedback offered through physical or virtual (with haptic feedback) manipulatives, makes to students' learning through science experimentation. Both theoretical perspectives and empirical evidence are presented. The theoretical perspectives were drawn from two types of theories, namely embodied cognition and additional (touch) sensory channel, which were associated with the use of physical and virtual manipulatives for learning purposes. The empirical evidence was drawn from two different lines of research. The first line of research involves studies that have focused on comparing physical manipulatives and virtual manipulatives (without the provision of haptic feedback), whereas the second involves studies that have focused on comparing virtual manipulatives with and without the provision of touch sensory (haptic) feedback. Both theories supply strong arguments for providing touch sensory feedback during science experimentation, whereas the empirical research outcomes show that providing touch sensory feedback is not always a prerequisite for learning science through experimentation. Those instances for which touch sensory feedback does appear to be a necessity for learning science through experimentation are identified. However, science education studies are limited within the aforementioned research areas. In addition, their findings are inconsistent, especially for the research focused on comparing virtual manipulatives with and without haptic feedback. The latter makes it difficult to arrive at a solid framework that depicts when and how touch sensory feedback should be offered to students for learning science through experimentation. The article concludes with suggestions for future research that would contribute towards development of such a framework. 相似文献
15.
Adnan Baki Temel Kosa Bulent Guven 《British journal of educational technology : journal of the Council for Educational Technology》2011,42(2):291-310
The study compared the effects of dynamic geometry software and physical manipulatives on the spatial visualisation skills of first‐year pre‐service mathematics teachers. A pre‐ and post‐test quasi‐experimental design was used. The Purdue Spatial Visualisation Test (PSVT) was used for the pre‐ and post‐test. There were three treatment groups. The first group (n = 34) used Dynamic Geometry Software (DGS) Cabri 3D as a virtual manipulative and the second group (n = 32) used physical manipulatives. In the control group (n = 30), the students received traditional instruction. The results of the study showed that physical manipulatives and DGS‐based types of instruction are more effective in developing the students' spatial visualisation skills than traditional instruction. In addition, students in the DGS‐based group performed better than the physical manipulative‐based group in the views section of the PSVT. 相似文献
16.
大学数学学习障碍的成因与对策 总被引：1，自引：0，他引：1
高等教育大众化以来,感觉数学学习困难的大学生人数逐渐增多,部分学生产生厌学情绪。理清这些大学生学习困难的原因,制定相应的教育策略,营造良好的学习氛围,进行因材施教,是当前大学数学教学改革的一项重要课题。导致学生学习障碍的主要原因：一是教学内容的衔接问题,二是教学方式的转变问题,三是思维方式的转变问题,四是外部环境的影响问题。大学数学教学要以学生为中心,不断改进教学方法,加强与中学内容的衔接,将数学思想、数学方法和数学建模思想融入课堂教学,构建和谐的数学教学文化理念,将数学文化融入课堂,激发学生的学习积极性,着力提高大学数学教的水平和学生学的质量,真正为学生的全面发展奠定良好的基础。 相似文献
17.
计算机数学,又称离散数学,是计算机学科的重要专业基础课程。在实际教学中发现,计算机科学专业的学生对该课程感兴趣的不多,多数畏惧其概念多、理论强且抽象。利用一种函数式程序设计语言(Haskell)辅助学生进行计算机数学中相关概念理解及其实际编程实验,主要针对课程教学中代数系统(如群)知识点,通过群定义及其性质验证实验来介绍函数编程技术,可以帮助计算机专业学生更好地学习理解计算机数学课程,并能充分调动其学习积极性和主动性,还可培养学生接受新知识的能力。 相似文献
18.
Marjolijn Peltenburg Marja Van Den Heuvel‐Panhuizen Brian Doig 《British journal of educational technology : journal of the Council for Educational Technology》2009,40(2):273-284
This paper reports a study aimed at revealing special‐educational‐needs pupils' learning potential by means of an ICT‐based assessment including a dynamic visual tool that might help pupils when solving mathematics problems. The study focused on subtraction problems up to 100, which require ‘borrowing’. These problems, in which the value of the ones‐digit of the subtrahend is larger than the ones‐digit of the minuend, are known as a serious difficulty for weak pupils in mathematics. Seven of such problems from a standardised test were placed in the ICT environment. Data were collected from two test conditions: the standardised written test format and the ICT version of the test items including the tool that provided pupils with a set of virtual manipulatives. The 37 pupils involved in the study were 8–12 years old and from two special‐education schools in the Netherlands. Comparison of the performance scores in the two formats showed that an ICT‐based assessment format, including a dynamic visual tool, can reveal weak pupils' learning potential and strategy use. The study also pointed out that ‘partial‐tool use’, ie, not carrying out the complete subtraction operation with the tool, can provide sufficient support to find the correct answer. 相似文献
19.
The key questions are: is it true that persons with Down’s syndrome can study mathematics only at a very elementary level? Might it be possible that their difficulties are mainly restricted to some fields, such as numeracy and mental computation, but do not encompass the entire domain of mathematics? Is the use of a calculator recommended? Is non-elementary mathematics accessible at most for the brightest students with Down’s syndrome? Our experience with about 30 students with Down’s syndrome, attending Italian mainstream secondary schools, is that these students can solve mathematical problems, using simple algebraic equations, though they may have very poor numeracy skills and need to use the calculator even with the simplest computations. Moreover, a familiarity with more advanced topics, as algebraic computation and analytic geometry, can help to raise their self-esteem and improve their numeracy too. Surprisingly, these students can learn and apply mathematical procedures in a variety of other different contexts. For instance, Francesca, an Italian student attending a secondary mainstream school, with a mild impairment in numeracy and relatively good linguistic skills, started with algebra and then learned to solve problems in the areas of nutritional science and of business administration. In the same way, Martina, a student in a mainstream secondary school with severe linguistic and numerical impairments, learned to work with Cartesian coordinates and formulas in analytic geometry. She began connecting points on a Cartesian plane, given their coordinates, and colouring in the shapes, such as flowers and animals, that they define. Applying the two points distance formula and verifying the result, she learned to measure the distance of two points with a ruler and to understand the concept of ‘millimetres’. The role of the inclusion in mainstream Italian schools of every disabled student, regardless the severity of the disability, has been crucial for these results. 相似文献
20.
Birgit Eickelmann Julia Gerick Christian Koop 《Education and Information Technologies》2017,22(4):1527-1551
By means of an international comparison, the research presented in the article aims to identify supporting and hindering school level factors for the use of ICT in secondary school mathematics lessons. The relationship between ICT use and the performance of Grade 9 students in mathematics is examined and further integrated into a multi-level model including school level factors. Against the background of a theoretical allocation (1) the IT equipment of schools, (2) school leadership, (3) aspects of school goals and educational strategies as well as (4) teachers’ attitudes will be analyzed by means of a multi-level regression model as well as a multi-level path model including the mathematics achievement of students as measured in the context of PISA 2012. Representative school and student data from five countries, namely Australia, Germany, the Netherlands, Norway and Singapore are taken into consideration, as the integration of ICT in teaching and learning is firmly emphasized in these countries (overall 24,579 students in 1263 schools). By modeling the complex structure, school characteristics are examined with respect to their effect on the use of ICT for mathematics teaching. Moreover, the relation between different factors and students’ mathematics achievement will be synchronously assessed in the different educational systems. The results show that characteristics at school level do play a major role in the integration of ICT into teaching and learning and turn out to be relevant across the educational systems. In addition to further in-depth country-specific findings, the results point to cross-national future challenges in the field of using technologies to enhance teaching and learning. 相似文献