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1.
Abstract

As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own questions and to begin to develop the basic research skills needed to answer these questions. These projects, where each student is given an individualized object to study, allow students to take ownership over their own learning while introducing them to the joy and challenge of discovery and research. Each student is directed to use the concepts and techniques presented in class as a set of tools to guide the investigation of their object. We discuss our experiences–both positive and negative–with these inquiry-based projects.  相似文献   

2.
ABSTRACT

In this paper we describe the use of an interactive software package designed to raise issues and questions about the role of information technology within the primary classroom and to highlight the partnership aspects inherent within a teacher tutor/mentor approach to the supervision of school placements. Data were collected from a variety of people concerned in the exercise: teacher tutors, university liaison tutors and student teachers. These data concerned not only the efficacy of the materials themselves, but also the effect or impact of the exercise upon the school placement experience. A number of issues emerged from our exploration into this exercise revealing attitudes towards information technology in education. These concerned ownership of learning and questions of expertise, access to partnership and co‐professionality, staff and student attitudes towards information technology and towards partnership and implications for the future. Our data suggest that learning becomes powerful when the learner takes ownership. Information technology can enable the shift towards creator and is a powerful means of achieving that.  相似文献   

3.
Abstract

As STEM educators, we know it is beneficial to train students to think critically and mathematically during their early mathematical lives. To this end, the author teaches the College Algebra/Precalculus course in a flipped classroom version of an inquiry-based learning style. However, the techniques described in this paper can be applied to a variety of freshman and sophomore mathematics courses (and above). In particular, in this model the students read the textbook before class and formulate questions, submitted prior to class via a learning management system, about the material to be covered in class the next day. During class they solve problems about that topic, and solutions are presented and discussed before the end of the period. After class, students complete standard homework about the topic, and are encouraged to bring any unresolved homework, worksheet, or reading questions for the next class period. This paper will discuss this method of engaging students, focusing on how student questions evolve during the semester, and student feedback.  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

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   

6.
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7.
Abstract

The effects of different types of review questions and the use of review passages on transfer skills were examined. Sixty seventh grade students were randomly assigned to each experimental group. Each student studied instructional materials on modulo seven addition and subtraction. Each student was then given a test that included lateral and vertical transfer problems. The results showed significant effects of word-type questions on vertical transfer skills and significant interaction effects between question types and the use of review passages on transfer skills. The cognitive strategy established by working relatively difficult review questions seemed to enable students to retain higher-level transfer skills.  相似文献   

8.
ABSTRACT

This integrative literature review takes up the ongoing discussion about the place of mixed methods designs in educational research. We focus on studies that investigate the role of argumentation in inquiry-based learning, either as a means for enhancing inquiry (argument-based inquiry) or as a learning outcome (inquiry-based argument). We argue that this field of research offers a perfect example of the ways in which a paradigm and its research questions call for mixed-methods designs. We then present an integrative review to explore patterns and identify gaps in the literature, asking: (1) How frequently and in what ways are mixed methods used in the field? (2) What rationales are driving the use of mixed methods? and (3) To what extent is the potential of mixed methods research being realized in the field?. For readers studying argumentation in inquiry-based instruction, we hope to open up a critical dialogue about aims and methodologies in the field. For readers interested in mixed-methods designs we hope to offer a case study of how to build a rationale from within a discipline for leveraging the range of mixed methodologies to study a problem. We conclude with recommendations for further research.  相似文献   

9.
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10.
Su Gao  Jian Wang  Zhiyong Zhong 《Compare》2018,48(6):879-895
Abstract

The Chinese government has implemented centralised science curriculum standards to change science teaching from a didactic to inquiry-based approach to support all students in acquiring science literacy. Framed through theoretical perspectives of inquiry-based instruction and cultural pedagogy, this study examined the influence and impact of these reforms on Chinese science teaching and the performance of 8th grade Chinese students in the Inner-Mongolia Autonomous Regions using instruments developed by TIMSS 2007. It revealed that mixed, lecture-based, more inquiry-based and practice-based science teaching approaches were popularly practiced in classrooms, with the mixed-teaching approach being the most popular. While a mixed approach was positively associated with performance, the frequent practice of a more inquiry-based approach had a significant negative relationship. Neither lecture-based nor practiced-based teaching approaches were found to be related to performance. This finding questions the assumption that inquiry-based science teaching is central to improving the science performance of all students in China.  相似文献   

11.
Abstract

This paper links educational psychology research about curiosity to teacher moves that are effective in an inquiry-based mathematics classroom. Three vignettes will show explicit teacher moves (staging disagreement, intriguing anecdotes, and creating a safe space) for different audiences (math majors, mathematics for liberal arts students, and future elementary school teachers) and tie them to particular studies about curiosity. The goal is to deepen our thinking about inquiry-based teaching by considering curiosity as one of the starting points of inquiry. Educational psychologists have found ample evidence that curiosity improves learning. We claim that curiosity and inquiry are deeply connected in a curiosity–inquiry cycle and become most active in a classroom that exhibits a culture of asking questions.  相似文献   

12.
《学校用计算机》2013,30(3-4):45-51
Abstract

Social studies educators have identified three areas where the Web is being used to assist social studies teaching and learning: inquiry-based learning, online interaction, and displaying student work online. Examples of each are provided. The chapter concludes with the challenges ahead.  相似文献   

13.
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   

14.
Ismael Perez  Janet Bowers 《PRIMUS》2017,27(4-5):526-536
Abstract

Undergraduate research experiences provide excellent examples of high-impact practices. They rely on inquiry-based learning to provide important capstone experiences for the students. However, they are time-intensive for mentor faculty. In an attempt to scale up our faculty’s ability to offer such experiences, we combined a number of projects into one class: the Biomathematics Workshop. This article chronicles the experiences of one student from that class interspersed with comments from his mentor. Our goal is to illustrate some of the twists and turns in his journey and the unexpected but valuable lessons the student (and the mentoring team) learned.  相似文献   

15.
Abstract

The purpose of this research was to investigate the efficacy of professional development in changing two middle school science teachers’ questioning to include more questions that require deeper student responses. The professional development was based on ICAP theory which proposes a framework for identifying cognitive engagement based on what is required of students. ICAP hypothesizes that Interactive and Constructive questions, such as those requiring inferential thought and collaboration, lead to deeper thinking and therefore stronger learning gains than questions that are more Active, Passive. Teacher questioning before and after the PD showed a marked improvement in increasing the number of questions that required students to make inferences about the materials. Student gain scores from tests on the lesson’s content suggests a positive relationship between constructive questions and student learning. This paper also details a coding scheme based on ICAP that can be used to provide feedback on teachers’ questioning.  相似文献   

16.
Laurie Lenz 《PRIMUS》2015,25(3):279-296
Abstract

Inquiry-based learning is a topic of growing interest in the mathematical community. Much of the focus has been on using these methods in calculus and higher-level classes. This article describes the design and implementation of a set of inquiry-based learning activities in a Math for Liberal Arts course at a small, private, Catholic college. Activity design, student responses, class management, and student and instructor attitudes are discussed.  相似文献   

17.
In this paper, we will describe the experience of the authors in using process-oriented guided inquiry learning (POGIL) in calculus at four institutions across the USA. We will briefly examine how POGIL compares to and fits in with other kinds of inquiry-based learning approaches. In particular, we will first discuss the unique structure of a POGIL activity, which includes a model and a learning cycle of specific types of questions. We then turn to a discussion of the particular characteristics of a classroom implementation of a POGIL activity, including facilitation strategies an instructor might use, the importance of specified student roles in groups, and different ways of reporting out. Finally, we provide some preliminary data on student pass rates in non-POGIL and POGIL calculus classrooms in the participating institutions. Throughout the paper, we use examples from student dialogues as groups were working through POGIL activities developed for Calculus I by the authors.  相似文献   

18.
ABSTRACT

Study and research path (SRP) is an inquiry-based teaching format grounded in the Anthropological Theory of the Didactic. One of the specific characteristics of SRP is its task-design basis, which includes explicitly questioning the knowledge at stake in study processes. In this work, we propose general guidelines for the design of SRPs for Engineering courses. We have explored the validity of the SRP methodology for learning Strength of Materials, a key subject in Mechanical Engineering. The use of question–answer maps and the media–milieu dialectics throughout the development of the SRP are discussed, together with the student’s perceptions on the new learning process.  相似文献   

19.
Gertrud L. Kraut 《PRIMUS》2015,25(8):683-693
Abstract

The inverted classroom allows more in-class time for inquiry-based learning and for working through more advanced problem-solving activities than does the traditional lecture class. The skills acquired in this learning environment offer benefits far beyond the statistics classroom. This paper discusses four ways that can make the inverted classroom successful in an Introductory Statistics class: how to motivate students to prepare for each class, how to move the teaching of technology out of the classroom, how to balance student classwork, and how to create a mindset for learning.  相似文献   

20.
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   

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