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1.
Abstract

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to pursue a major in Mathematics for Teaching. These interviews help explain their choice to pursue this major and their general experiences in IBL math classes. These insights were used to improve our program and may also help other mathematics instructors and programs that hope to implement an inquiry-based approach in their departments.  相似文献   

2.
Abstract

The authors have completed a 2-year quasi-experimental study on the use of inquiry-based learning (IBL) in precalculus. This study included six traditional lecture-style courses and seven modified Moore method courses taught by three instructors. Both quantitative and qualitative analyses were used to investigate the attitudes and beliefs of the students in each section. In this article, we provide a summary of those results with a particular focus on the Openness to IBL survey we developed for assessing student preferences for either student-centered or teacher-centered instruction. Although the majority of the students exhibited a strong preference for direct instruction, students whose scores favored student-centered approaches according to the survey also tended to perform better on the final exam, indicating that a key element to success in an IBL course may be students’ perceptions of the method.  相似文献   

3.
Therese Shelton 《PRIMUS》2017,27(7):669-680
Abstract

Implementing inquiry-based modules within a course can be effective and enable instructor experimentation, without completely transforming an entire course. For instructors new to inquiry-based learning (IBL), we state hallmarks of the practice and point out the merits of strong IBL communities. An inquiry-based approach may alleviate some current common issues in Calculus I. We present two activities and evidence of their effectiveness and adaptability, and describe their POGIL style of guided inquiry learning that raises awareness of the learning process. We share the experience of a “traditionally-oriented” faculty member transitioning to a more student-centered pedagogy, reflecting on advantages of using a combination of pedagogical styles.  相似文献   

4.
Abstract

The flipped classroom model of teaching can be an ideal venue for turning a traditional classroom into an engaging, inquiry-based learning (IBL) environment. In this paper, we discuss how two instructors at different universities made their classrooms come to life by moving the acquisition of basic course concepts outside the classroom and using class time for active problem-based learning. Results from student surveys are presented to relate student perceptions of the flipped/IBL classroom model.  相似文献   

5.
Abstract

Our particular flavor of inquiry-based learning (IBL) uses mathematical discourse, conversations, and discussions to empower students to deepen their mathematical thinking, building on strengths of students in the humanities. We present an organized catalog of powerful questions, discussion prompts, and talk moves that can help faculty facilitate a classroom focused on mathematical discourse. The paper brings this discourse alive through classroom vignettes and explores various teacher moves and their impacts. The mathematical theme of the classroom investigations, Maypole dance patterns, stems from the learning guide “Discovering the Art of Mathematics: Dance.” Both authors are part of the NSF-funded project “Discovering the Art of Mathematics,” which provides IBL materials for mathematics for liberal arts courses, see www.artofmathematics.org.  相似文献   

6.
As student-centered approaches to teaching and learning are more widely applied, researchers must assess the outcomes of these interventions across a range of courses and institutions. As an example of such assessment, this study examined the impact of inquiry-based learning (IBL) in college mathematics on undergraduates’ subsequent grades and course selection at two institutions. Insight is gained upon disaggregating results by course type (IBL vs. non-IBL), by gender, and by prior mathematics achievement level. In particular, the impact of IBL on previously low-achieving students’ grades is sizable and persistent. The authors offer some methodological advice to guide future such studies.  相似文献   

7.
Mindy Capaldi 《PRIMUS》2015,25(8):736-744
Abstract

Flipped classrooms and inquiry-based learning (IBL) have each become popular in their own right, leading to a natural question: Why not combine these two great ideas? Although flipping a class usually involves students reading or watching videos before class, and IBL focuses on allowing and encouraging students to develop material on their own, both styles emphasize active learning and critical thinking through activities such as group work and presentations while minimizing lectures. In this article, I discuss ways that the two teaching styles can complement each other and be implemented concurrently, with some examples from my flipped calculus II course. Throughout this discussion the focus remains on ways to keep students engaged and how to instill deep content knowledge.  相似文献   

8.
Abstract

We delineate some types of structured practice (modeling, requests, feedback, and space-making) that help students learn to pose appropriate questions and to initiate exploration of those questions. Developing skills requires practice, so we suggest ways to embed structured practice into existing class sessions. Including structured practice is nuanced, instructor-specific, and depends on context. Therefore, we give examples of implementation in an inquiry-based learning (IBL)-influenced calculus class, in a partially IBL mathematics for liberal arts class, and in a completely IBL class for gifted high school students.  相似文献   

9.

Efforts to ameliorate gender disparity in pursuit of science careers in the USA have focused on equalizing girls' participation in pre-college science courses and out-of-school activities. Our examination of nearly 1500 US college students at 16 universities found that gender and preparation both have an impact on success in introductory college physics courses. In terminal, algebra-based physics females perform better than their male classmates. However, in calculus based introductory college physics courses, which are prerequisite to advanced study in many fields, women do significantly worse than their male counterparts with the same background. For both genders, taking a high school course that limits coverage and concentrates more time in in-depth study is associated with better performance in college physics. We conclude that efforts to ensure the success of women entering the physical sciences should concentrate on increasing the depth and reducing the vast coverage of most high school physics courses as well as addressing the apparent bias in college courses that mark the first step in careers within scientific research and engineering.  相似文献   

10.
ABSTRACT

Individual innovativeness has become one of the most important employability skills for university graduates. In this paper, we focus on how students could be better prepared to be innovative in the workplace, and we argue that inquiry-based learning (IBL) – a pedagogical approach in which students follow the inquiry-based processes used by scientists to construct knowledge – can be effective for this purpose. Drawing on research which examines the social and cognitive micro-foundations of innovative behavior, we develop a conceptual model that links IBL and student innovativeness, and introduce three teacher-controlled design elements that can influence the strength of this relationship, namely whether an inquiry is open or closed, discovery-focused or information focused and individual or team-based. We argue that an open, discovery-focused and team-based inquiry offers the greatest potential for enhancing students’ skills in innovation. This paper has several implications for higher education research and practice.  相似文献   

11.
Abstract

In this paper, we describe how we integrated complex analysis into the second semester of a geometry course designed for preservice secondary mathematics teachers. As part of this inquiry-based course, the preservice teachers incorporated their geometric understanding of the arithmetic of complex numbers and complex-valued functions to create a game using Geometer’s Sketchpad. We detail a game created by a pair of preservice teachers that exemplifies their creativity and knowledge of complex-valued functions. Given inquiry-based courses have inherent challenges we also present projects that were not as exemplary.  相似文献   

12.
13.
Abstract

Inquiry-based learning (IBL) techniques can be used in mathematics courses for non-majors, such as courses required for liberal arts majors to fulfill graduation requirements. Unique challenges are discussed, followed by adaptations of IBL techniques to overcome those challenges.  相似文献   

14.
15.
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   

16.
Abstract

This paper brings together general principles for teaching inquiry across disciplines with those generally employed in mathematics classrooms. It describes some broad principles of teaching inquiry to first-year writing students and shows how these can be employed in the context of a course on game theory in popular culture. Although undergraduate mathematics may seem miles away from undergraduate writing, especially in first-year courses, we show how common educational practices in inquiry-based mathematics courses are easily adapted to teaching a writing course and how these pedagogical methods can be used to encourage students to develop habits of inquiry.  相似文献   

17.
18.
Abstract

The importance of education to address current sustainability challenges in small island states has been widely recognized. Environmental education may increase knowledge, while also increasing environmental awareness and motivating students to become agents of change. Student engagement in introductory environmental science courses may benefit from operationalizing abstract concepts by embedding course material and activities within this local context. Here, we describe an introductory course in environmental science that has been tailored to the local context of a small island state in the Caribbean. In addition to reaching academic course goals, pre- and post-course surveys showed that course participants’ environmental awareness increased on the dimensions ‘Personal Value System’ and ‘Willingness to Take Environmental Action’. The described course provides a template for the development of a low-cost introductory environmental science course that integrates general theory and application within the context of Caribbean island states.  相似文献   

19.
This research was undertaken to clarify the nature of the relationship between visual-spatial abilities and achievement in science courses. A related purpose was to determine what influence visual-spatial abilities have on the high attribution rate characteristic of many introductory college-level science courses. Three sections of introductory college level physics (S = 136) and one nonscience liberal arts section (S = 52) received pre- and postmeasures of visual-spatial ability in the areas of perception, orientation, and visualization. Increases in visual-spatial abilities were greatest with an experimental section that received a spatial intervention. These gains were related to test items that utilized graphical form and to laboratory work. Substantial gains in visual-spatial ability were also registered by a placebo and by control sections. These increases suggest that taking introductory physics improves visual-spatial abilities. Although students who withdrew from the course demonstrated mathematics skills comparable to those of students who completed the course, their scores on perception tests were appreciably lower. Visual-spatial scores of the liberal arts group were lower than those of the physics sections, suggesting that visual-spatial ability influences course selection.  相似文献   

20.
We determined short- and long-term correlates of a revised introductory biology curriculum on understanding of biology as a process of inquiry and learning of content. In the original curriculum students completed two traditional lecture-based introductory courses. In the revised curriculum students completed two new learner-centered, inquiry-based courses. The new courses differed significantly from those of the original curriculum through emphases on critical thinking, collaborative work, and/or inquiry-based activities. Assessments were administered to compare student understanding of the process of biological science and content knowledge in the two curricula. More seniors who completed the revised curriculum had high-level profiles on the Views About Science Survey for Biology compared with seniors who completed the original curriculum. Also as seniors, students who completed the revised curriculum scored higher on the standardized Biology Field Test. Our results showed that an intense inquiry-based learner-centered learning experience early in the biology curriculum was associated with long-term improvements in learning. We propose that students learned to learn science in the new courses which, in turn, influenced their learning in subsequent courses. Studies that determine causal effects of learner-centered inquiry-based approaches, rather than correlative relationships, are needed to test our proposed explanation.  相似文献   

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