首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献，搜索用时 78 毫秒
1.
  相似文献   

2.
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   

3.
“数学化”是近年西方学者提出的一个概念 ,指师生在数学教学过程中共同努力、相互作用 ,使儿童准确理解各种数学表达或运算所需的规则和准则 ,最终形成儿童自身关于各种物体和情境的数学模式。本文以对数学课堂教学的大量观察为基础 ,阐述“数学化”的含义和过程 ,分析影响“数学化”顺利进行的社会因素和心理因素 ,并为数学教学提出一些建设性的建议。这对于我国数学基础教育中儿童数学能力的培养及思维的发展有积极的借鉴意义。  相似文献   

4.
The present study addressed two research questions: (a) the extent to which students who were exposed to meta-cognitive instruction are able to implement meta-cognitive processes in a delayed, stressful situation, in our case—being examined on the matriculation exam; and (b) whether students preparing themselves for the matriculation exam in mathematics, attain a higher level of mathematics achievement and meta-cognitive awareness (knowledge about cognition and regulation of cognition) as a result of being exposed to meta-cognitive instruction. Participants were 61 Israeli high school students who studied mathematics for four-point credit on the matriculation exam (middle level). About half of the students (N = 31) were assigned to meta-cognitive instruction, called IMPROVE, and the others (N = 30) studied with no explicit meta-cognitive guidance (control group). Analyses included both quantitative and qualitative methods. The later was based on students’ interviews, conducted about a couple of months after the end of the intervention, immediately after students completed the matriculation exam in mathematics. Results indicated that IMPROVE students outperformed their counterparts on mathematics achievement and regulation of cognition, but not on knowledge about cognition. Furthermore, during the matriculation exam, IMPROVE students executed different kinds of cognitive regulation processes than the control students. The theoretical and practical implications of the study are discussed.  相似文献   

5.
In this study, data in the form of (preservice teacher) student voices taken from mathematical autobiographies, written at the beginning of the semester, and end-of-semester reflections, were analyzed in order to examine why preservice elementary school teachers were highly motivated in a social constructivist mathematics course in which the teacher emphasized mastery goals. The findings suggest that students entered the course with a wide variety of feelings about mathematics and their own mathematical ability. At the end of the semester, students wrote about aspects of the course that “led to their growth as a mathematical thinker and as a mathematics teacher…” Student responses were coded within themes that emerged from the data: Struggle; Construction of meaning [mathematical language; mathematical understanding]; Grouping [working in groups]; Change [self-efficacy; math self-concept]; and the Teacher’s Role. These themes are described using student voices and within a motivation goal theory framework. The role of struggle, in relation to motivation, is discussed.  相似文献   

6.
Emotions are central to how students experience mathematics, yet we know little about how specific instructional practices relate to students’ emotions in mathematics learning. We examined how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and boredom. We also examined whether these associations differed by student gender and prior mathematics achievement. The sample consisted of 1307 sixth through eighth grade students (51.6% female, 59.0% White, 30.8% African American, and 10.3% other race; 42.3% receive free/reduced price lunch) from 70 mathematics classrooms. Results indicated that teachers who used more dialogic mathematics instruction had students who reported more enjoyment and pride, and less anger and boredom. Males and low-achieving students reported more positive and fewer negative emotions with greater dialogic instruction compared to their female and high-achieving counterparts.  相似文献   

7.
Abstract. Classroom communication figures prominently in current math reform efforts. In this study, we analyze how one teacher used writing to support communication in a seventh‐grade, low‐track mathematics class. For one school year, we studied four low‐achieving students in the class. Students wrote in journals on a weekly basis. Using classroom observations and interviews with the teacher, we developed profiles of the four students, capturing their participation in class discussions. The profiles highlighted an important similarity among the four students: marginal participation in both small‐group and whole‐class discussions. However, our analysis of the students' journals identified multiple instances where the students were able to explain their mathematical reasoning, revealing their conceptual understanding, ability to explain, and skill at representing a problem. In this respect, journals potentially facilitate another important form of classroom communication. The promise of writing is that it offers an alternative to the visions of classroom communication that are strictly oral in nature.  相似文献   

8.
Russell D. Blyth 《PRIMUS》2015,25(3):265-278
Abstract

The author has taught an inquiry-based liberal arts mathematics class using the text “The Heart of Mathematics: An Invitation to Effective Thinking” by Edward B. Burger and Michael Starbird a total of 20 times since Spring 2001. The students in this class have almost all been in non-technical majors and many started the semester with negative or ambivalent attitudes toward mathematics based on their prior experiences. The author has gathered responses from students in this class that illustrate significant changes in their attitudes towards mathematics during the course. In particular, the responses gathered at the end of the semester are often eloquent about understanding the great ideas of mathematics that students confronted in this course and about seeing many more and varied connections between mathematics and the “real world” than they had previously realized existed.  相似文献   

9.
We investigated whether attribution retraining instruction (ARI) embedded in mathematics lessons in a second-grade classroom could help students (a) attribute their successes and failures to effort or lack of effort, (b) not attribute their successes and failures to uncontrollable factors, and (c) increase their mathematics scores. One second-grade classroom (n = 18) received ARI and the other classroom (n = 11) received mathematics-only instruction (MOI). The ARI consisted of specific strategy review, guided discussion, individual practice, and effort feedback. Results showed that ARI students' mathematics scores increased and attributions to uncontrollable factors decreased from pre- to posttest. MOI students also increased their mathematics scores; however, these differences were not significant.  相似文献   

10.
High‐stakes mathematics assessments require students to write about mathematics, although research suggests students exhibit limited proficiency on such assessments. Students with LD may have difficulties with writing, mathematics, or both. Researchers employed an intervention for teaching students how to organize mathematics writing (MW). Researchers randomly assigned participants (n = 61) in grades 3–5 to receive instruction in MW or information writing. Students receiving MW outperformed control students on a researcher‐developed measure of MW (d = 1.05). Component assessment revealed MW students improved in writing organization (d = 1.49) but not in mathematics content (d = 0.11 ns). Results also indicated MW students outperformed control on percentage of correct MW sequences (d = 0.82). Future directions for MW intervention development are discussed.  相似文献   

11.
Abstract

In this article, we share a model of flipped instruction that allowed us to gain a window into our students’ mathematical thinking. We depict how that increased awareness of student thinking shaped our mathematics instruction in productive ways. Drawing on our experiences with students in our own classrooms, we show how flipped instruction can be used to design experiences that help students make sense of mathematics during class sessions.  相似文献   

12.
Research Findings: This study investigates the role of fine motor and mathematics instruction in mathematics achievement in an international sample of kindergarteners from the United States and China. Multilevel modeling was used to assess the interaction between students’ entering skills and classroom time spent on basic math, higher-order math and fine-motor instruction. For American children, the effect of basic math and higher-order math instruction on student achievement depended on entering skills; however, fine motor instruction had negative average effects on student achievement and did not depend on students’ entering skills. Instruction time was not a significant predictor of achievement for Chinese students. Practice or Policy: Though fine motor skills have a robust correlation with mathematics achievement, a causal link has not been established. Our study indicates that time spent in fine motor instruction does not advance mathematics achievement in kindergarten and in fact may weaken mathematics achievement, given the limited time in the instructional day. American teachers in our sample who spent more time in fine-motor instruction tended to spend less time on basic math and higher-order mathematics instruction. Educators should weigh instructional trade-offs carefully and work to tailor instruction to students’ skill levels.  相似文献   

13.
Being able to understand and evaluate arguments in different modalities and in different disciplines is thought to be a key component of students’ academic success in college. However, many students do not receive explicit instruction in the basic concepts and rules of argumentation. Using a difference-in-differences approach with a multicohort longitudinal data set of almost 15,000 undergraduates beginning in health and science, technology, engineering, and mathematics (STEM)-related fields at a research university, we examined changes in relative performance of students after enrolling in an introductory logic course. We find that students improved their grade point average (GPA) after taking the course, especially if they begin college with low academic achievement (Cohen’s d?=?0.18). Our results are consistent with the idea that acquiring foundational skills, in particular general skills in argumentation, prepares STEM students for future learning.  相似文献   

14.
Prior research has shown that game-based learning tools, such as DragonBox 12+, support algebraic understanding and that students' in-game progress positively predicts their later performance. Using data from 253 seventh-graders (12–13 years old) who played DragonBox as a part of technology intervention, we examined (a) the relations between students' progress within DragonBox and their algebraic knowledge and general mathematics achievement, (b) the moderating effects of students' prior performance on these relations and (c) the potential factors associated with students' in-game progress. Among students with higher prior algebraic knowledge, higher in-game progress was related to higher algebraic knowledge after the intervention. Higher in-game progress was also associated with higher end-of-year mathematics achievement, and this association was stronger among students with lower prior mathematics achievement. Students' demographic characteristics, prior knowledge and prior achievement did not significantly predict in-game progress beyond the number of intervention sessions students completed. These findings advance research on how, for whom and in what contexts game-based interventions, such as DragonBox, support mathematical learning and have implications for practice using game-based technologies to supplement instruction.

Practitioner notes

What is already known about this topic
  • DragonBox 12+ may support students' understanding of algebra but the findings are mixed.
  • Students who solve more problems within math games tend to show higher performance after gameplay.
  • Students' engagement with mathematics is often related to their prior math performance.
What this paper adds
  • For students with higher prior algebraic knowledge, solving more problems in DragonBox 12+ is related to higher algebraic performance after gameplay.
  • Students who make more in-game progress also have higher mathematics achievement, especially for students with lower prior achievement.
  • Students who spend more time playing DragonBox 12+ make more in-game progress; their demographic, prior knowledge and prior achievement are not related to in-game progress.
Implications for practice and/or policy
  • DragonBox 12+ can be beneficial as a supplement to algebra instruction for students with some understanding of algebra.
  • DragonBox 12+ can engage students with mathematics across achievement levels.
  • Dedicating time and encouraging students to play DragonBox 12+ may help them make more in-game progress, and in turn, support math learning.
  相似文献   

15.
This paper reports a study of preservice teachers who investigated their own teaching during a field-based component of a mathematics education methods course. The course was designed to engage the preservice teachers in both mathematical and pedagogical inquiry. Analysis of video recordings of course discussions, audiotaped interviews with preservice teachers, audiotaped discussions of instructor's planning meetings, and copies of the instructor's and preservice teachers' journals identified two critical incidents that depict students' resistance to the course directions. Analysis of these critical incidents suggests that prospective teachers' interactions with their students can become the mirror through which we can investigate their interactions with us, as teacher educators, and with our course activities. In this way we might reframe the problem of resistance to one of listening—listening to the students, to each other, and to ourselves.  相似文献   

16.
Too difficult, too abstract, too theoretical – many first-year engineering students complain about their mathematics courses. The project MathePraxis aims to resolve this disaffection. It links mathematical methods as they are taught in the first semesters with practical problems from engineering applications – and thereby shall give first-year engineering students a vivid and convincing impression of where they will need mathematics in their later working life. But since real applications usually require more than basic mathematics and first-year engineering students typically are not experienced with construction, mensuration and the use of engineering software, such an approach is hard to realise. In this article, we show that it is possible. We report on the implementation of MathePraxis at Ruhr-Universität Bochum. We describe the set-up and the implementation of a course on designing a mass damper which combines basic mathematical techniques with an impressive experiment. In an accompanying evaluation, we have examined the students' motivation relating to mathematics. This opens up new perspectives how to address the need for a more practically oriented mathematical education in engineering sciences.  相似文献   

17.
This paper describes the use of newspapers in a philosophy of science course.Using the newspaper as a required text facilitates student exploration of the nature of science by examining current scientific topics. Students in the course read The New York Times on a weekly basis. The articles from the Times support two pedagogical activities: newspaper journals and weekly discussions. The journals consist of free responses to published articles and serve as a means to encourage students to direct their own learning. The weekly discussions permit a free exchange of ideas about controversial topics while facilitating discourse about a multitude of topics concerning the nature of science. This paper describes the course design and provides several examples of how newspaper articles can be used as pedagogical resource.  相似文献   

18.
ABSTRACT

Graduate students regularly teach undergraduate STEM courses and can positively impact students’ understanding of science. Yet little research examines graduate students’ knowledge about nature of science (NOS) or instructional strategies for teaching graduate students about NOS. This exploratory study sought to understand how a 1-credit Teaching in Higher Education course that utilised an explicit, reflective, and mixed-context approach to NOS instruction impacted STEM graduate students’ NOS conceptions and teaching intentions. Participants included 13 graduate students. Data sources included the Views of Nature of Science (VNOS-Form C) questionnaire administered pre- and post-instruction, semi-structured interviews with a subset of participants, and a NOS-related course project. Prior to instruction participants held many alternative NOS conceptions. Post-instruction, participants’ NOS conceptions improved substantially, particularly in their understandings of theories and laws and the tentative nature of scientific knowledge. All 12 participants planning to teach NOS intended to use explicit instructional approaches. A majority of participants also integrated novel ideas to their intended NOS instruction. These results suggest that a teaching methods course for graduate students with embedded NOS instruction can address alternative NOS conceptions and facilitate intended use of effective NOS instruction. Future research understanding graduate students' NOS understandings and actual NOS instruction is warranted.  相似文献   

19.
ABSTRACT

This research draws on a longitudinal study in which middle school math and science teachers enacted STEAM (science, technology, engineering, art and mathematics) teaching in their classroom after participating in intensive STEAM professional development aimed at increasing effective STEAM teaching. The authors address one important aspect in STEAM teaching, technology integration practices of teachers during instruction, and theorise their work using connected learning theory. Qualitative case study is used to identify and describe technology integration themes which emerged during STEAM instruction. Results suggest 17 of the 21 teachers participating in the study demonstrated technology integration involving one or more areas of instructional approaches, assessment and student use. The research expands what we know about how technology can be integrated in STEAM instruction and suggests ways to capitalise on technology to broaden access and appeal to all students during STEAM instruction.  相似文献   

20.

Girls’ attitudes towards mathematics can impact their achievement and career choices in STEM fields. Can the introduction of inquiry-based learning (IBL) in mathematics classes generate positive associations between girls’ perceptions of the learning environment and their attitudes towards mathematics? Based in the United Arab Emirates, this study provided important information about the relationships between learning environment factors central to an inquiry method and student engagement. Data collection involved administering two surveys to female mathematics students (N?=?291) in four schools: one to assess students’ perceptions of the learning environment and another to assess students’ attitudes towards mathematics. Positive and statistically-significant (p?<?.01) associations emerged between learning environment factors important to an inquiry approach and students’ attitudes. These findings provide important information about how IBL might improve girls’ attitudes towards mathematics classes and whether IBL environments are related to their attitudes.

  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号