The Effects of Teachers and Schooling on the Vocational Choice of University Research Scientists

Thirty-five research scientists from the academic areas of Chemistry, Geology, Physics and Zoology were surveyed to obtain information regarding the effect of teachers and formal schooling on their decisions to become scientists. All subjects included in the study held the PhD. degree and were actively involved in research. Data analysis indicated that 63 percent of the subjects had identified a genuine interest in science by the time they were in the ninth grade, but only 9 percent of them attributed this interest to their elementary or junior high school teachers. The data revealed that 43 percent of the population were influenced to become scientists by one or more high school teachers. Also, one-third of the subjects had made the decision to become a scientist by the time of high school graduation. Most of the other two-thirds of the individuals studied decided to become scientists because of the influence of college professors in their freshman-and sophomore-level courses. The subjects were asked if particular events that occurred in junior or senior high school science classes positively influenced them to become scientists. Seventy-eight percent of the subjects responded that there were no classroom activities occurring that attracted them to science.     

Diagrams and math notation in e-learning: growing pains of a new generation

Current e-learning environments are ill-suited to college mathematics. Instructors/students struggle to post diagrams and math notation. A new generation of math-friendly e-learning tools, including WebEQ, bundled with Blackboard 6, and NetTutor's Whiteboard, address these problems. This paper compares these two systems using criteria for ideal math-friendly e-learning systems. NetTutor's Whiteboard is, apparently, the only system allowing two-way communication of both diagrams and math notation between instructor and students. This paper also summarizes a case study of two community college mathematics courses (calculus and algebra) using NetTutor over two semesters. Pilot studies, interviews and experimental problems revealed that NetTutor's Whiteboard is effective for 2-way communication of diagrams and math notation in college courses. Learning difficult concepts was comparable to face-to-face courses.     

An Audiotaped Program for Reduction of High School Students' Math Anxiety

This project was designed to develop and test an audiotaped program for the reduction of math anxiety. A tape was developed that uses systematic desensitization as a treatment technique. The taped program contains muscle relaxation exercises and a hierarchy of math-related activities to be visualized while in the relaxed state. Three hundred thirty-six ninth and tenth grade college-bound math students were given two instruments to measure their level of math anxiety as a pretest. Fifty-three measured high and were invited to participate in the treatment; they were given the same instruments as a posttest. Of the twenty who responded, ten completed the treatment and ten did not participate. Those who participated had significant reductions in math anxiety levels. Those who were not treated had math anxiety levels which remained virtually unchanged.     

Beating the System: Course Structure and Student Strategies in a Traditional Introductory Undergraduate Physics Course for Nonmajors

The purpose of this study was to describe relationships among instructor and student goals, course design, and student strategies for learning physics in a traditional introductory undergraduate physics course for nonmajors. The procedures included 16 hours ofnonparticipant observation, during which detailed field notes and photographs were taken and documents were collected. Audiotaped open-ended interviews were given to instructors and students, and all students participated in a limited survey. The data were analyzed using qualitative methods of the Chicago School. Results indicated that both differing goals of students and instructors and the structure of the course inhibited the understanding of physics and were conducive to students engaging in unexpected behaviors designed to help them successfully pass the course. The consequences of the structure of the course and subsequent student behaviors inhibited their understanding and appreciation of physics and deterred them from enrolling in further science courses. The paper includes implications for teaching introductory college physics.     

中学生心理健康状况的统计分析

对中学生进行《中学生心理健康量表》的抽样调查,用SPSS对调查数据进行探索分析和方差分析,得到结论,调查样本的总体心理健康状况差于全国平均水平,各症状的离散程度强于全国;各分量表得分低于平均分的同学所占比例较大;各年级学生心理健康水平有统计学的显著差异,高中学生的心理健康水平比初中学生差,但高中三年学生的心理健康情况相对稳定.     

How students interpret and enact inquiry-oriented defining practices in undergraduate real analysis

This study investigates the influence of inquiry-oriented real analysis instruction on students’ conceptions of the situation of mathematical defining. I assess the claim that inquiry-oriented instruction helps acculturate students into advanced mathematical practice. The instruction observed was “inquiry-oriented” in the sense that they treated definitions as under construction. The professor invited students to create and assess mathematical definitions and students sometimes articulated key mathematical content before the instructor. I characterize students’ conceptions of the defining situation as their (1) frames for the classroom activity, (2) perceived role in that activity, and (3) values for classroom defining. I identify four archetypal categories of students’ conceptions. All participants in the study valued classroom defining because it helped them understand and recall definitions. However, students in only two categories showed strong acculturation to mathematical practice, which I measure by the students’ expression of meta-mathematical values for defining or by their bearing mathematical authority.     

Predicting Success in Selected Events of the Science Olympiad

Two studies were performed using students who competed at regional and national levels in the Science Olympiad. The Olympiad is a day-long, multi-event competition in which teams of junior high and senior high science students cooperate in the application of science process skills and reasoning to score points by solving problems or answering questions. High school participants in the first study took the Test of Integrated Process Skills (TIPS) prior to the Olympiad. In the second study, junior high students were given the Group Assessment of Logical Thinking (GALT) test before competing in three selected Olympiad events. Results indicate that both the TIPS and the GALT tests correlate significantly with student success “on the playing field” of science. Knowing students' initial process skills and logical reasoning abilities is useful for planning effective science programs, but is probably not a good way to select the best students for competition in the Science Olympiad.     

Classroom Response Systems: Effects on the Critical Analysis Skills of Students in Introductory Science Courses

College instructors often teach scientific thinking by asking students to review and analyze a primary research article. The main purpose of this study was to explore how classroom response systems (CRS) could help impact the quality of written analysis papers submitted for this assignment by students taking 100‐level biology courses at a medium‐sized suburban, two‐year college in the northeastern United States. Students in all participating course sections received written instructions on five key elements of critical analysis (CA) to include in scientific study analysis papers. Classroom instruction on recognizing these key elements in primary research papers was provided either via CRS or via an instructor‐facilitated classroom discussion enhanced by the same PowerPoint presentation. A rubric, designed specifically for this assignment, was validated prior to its use in this study. Fifty students participated in the study, and those who received the CRS intervention achieved significantly higher CA scores for identifying implications of study findings, while the group that received only written instructions achieved significantly higher CA scores for discussing the credibility of the references used by the authors in planning the critiqued study. The implications of this study are discussed along with ideas for future research.     

Successful Students’ Perceptions of Secondary School Science

The attitudinal perceptions of successful college science students regarding their junior high and high school science experiences were compared with those of successful nonscience students. Particular attention was paid to recollections of teacher personality attributes and instructional methodology. Results indicate that science students were especially motivated by knowledgeable, enthusiastic, communicative, committed, friendly, competent, and creative science teachers, whereas the nonscience group preferred patient, knowledgeable, congenial, friendly, supportive, and enthusiastic instructors. Both groups agreed that, although traditional methods (textbooks, lectures, quizzes/tests) dominated their science experiences, their preferred instructional strategies included more dynamic methods, including laboratory activities, teacher demonstrations, and discussions. Both groups also agreed that high school science courses provided a closer match than did junior high/middle school courses in providing their preferred teacher attributes and instructional methods. Results supported the observation that, even for these academically gifted students, interest in science is relatively depressed during the junior high/middle school years. It was concluded that, although endogenous variables act in concert, the quality of the student-teacher interaction exerts the greatest influence on student attitudes, particularly if those students are not already “science-friendly.” Instructional implications are discussed.     

The Relationship of Teacher‐Facilitated,Inquiry‐Based Instruction to Student Higher‐Order Thinking

Commissions, studies, and reports continue to call for inquiry‐based learning approaches in science and math that challenge students to think critically and deeply. While working with a group of middle school science and math teachers, we conducted more than 100 classroom observations, assessing several attributes of inquiry‐based instruction. We sorted the observations into two groups based on whether students both explored underlying concepts before receiving explanations and contributed to the explanations. We found that in both math and science classrooms, when teachers had students both explore concepts before explanations and contribute to the explanations, a higher percent of time was spent on exploration and students were more frequently involved at a higher cognitive level. Further, we found a high positive correlation between the percent of time spent exploring concepts and the cognitive level of the students, and a negative correlation between the percent of time spent explaining concepts and the cognitive level. When we better understand how teachers who are successful in challenging students in higher‐order thinking spend their time relative to various components of inquiry‐based instruction, then we are better able to develop professional development experiences that help teachers transition to more desired instructional patterns.     

工科院校一年级新生数学教学对策

在高中教育逐步得到普及,高等教育不断扩招的情况下,对淮海工学院大学一年级新生数学学习的实际状况进行了调查,研究了学生对《新课标》内容的掌握程度,得到了一些解决高等数学教材及教学应对实际情况与变化的对策。     

Metaphor Clusters: Characterizing Instructor Metaphorical Reasoning on Limit Concepts in College Calculus

Novice students have difficulty with the topic of limits in calculus. We believe this is in part because of the multiple perspectives and shifting metaphors available to solve items correctly. We investigated college calculus instructors' personal concepts of limits. Based upon previous research investigating introductory calculus student metaphorical reasoning, we examined 11 college instructors' metaphorical reasoning on limit concepts. This paper focused on previous research of metaphor clusters observed among students to answer the following: (a) Do college instructors use metaphorical reasoning to conceptualize the meaning of a limit? (b) Can we characterize instructor metaphorical reasoning similar to those observed among students? (c) Will an instructor's self‐identification of metaphor clusters be consistent with our metaphor coding? We found that college instructors' perspectives vary, either graphical or algebraic, in their explanations of limit items. All the instructors used metaphors, and instructor metaphorical reasoning aligned with student metaphor clusters. Instructors tended to change their metaphors with respect to the limit item. Instructors were not aware of their use of metaphors, nor were they aware of their inconsistency in their choice of metaphor. We believe that instructor awareness of their own distinct perspectives and metaphors would assist students' understanding of limit concepts.     

David's Understanding of Functions and Periodicity

This is a study of David, a senior enrolled in a high school precalculus course. David's understandings of functions and periodicity was explored, through clinical interviews and contextualized through classroom observations. Although David's precalculus class was traditional, his understanding of periodic functions was unconventional. David engaged in sense making behaviors even though these behaviors were not encouraged or explicitly taught. A careful analysis of his work revealed that David's understandings of functions, function notation, and periodicity were compartmentalized. However, David was able to skirt compartmentalization through flexibility in problem solving, translation between representations, and transfer of mathematical information from one representation to another.     

Student presentations in the classroom

For many years, the author has been involving his students in classroom teaching of their own classes. The day-to-day practice is described, and the advantages and disadvantages for both the instructor and the students are discussed. Comparisons with the Moore Method of teaching are made.     

Behind the Masks: Identifying Students' Competencies for Learning Mathematics and Science in Urban Settings

Three mathematics and science educators reexamine and reflect on their teaching within the context of the American Association for the Advancement of Sciences (AAAS) and National Council of Mathematics' call to make math and science education accessible to all. The paper highlights the importance of teachers reflecting on their teaching practices in order to create opportunities for their students especially those in the urban setting. The educators argue that teachers' reflection on their teaching can cause them to recognize and validate their students' ways of knowing as they identify the students' hidden/concealed abilities that are often masked by their behaviors. The educators discuss their experiences and highlight the lessons that they learned about ways to prepare teachers to successfully teach math and science students in urban settings. Culturally responsive pedagogy and cultural competency are critical skills that teachers need to develop in order to teach all children, especially those in the math and science classroom in the urban setting.     

The Road To Digitopolis: Perils of Problem Solving

How students solve problems is a topic of central concern both to educational researchers and to math/science teachers: What is the nature of good and poor problem solving? How can students improve their problem-solving capacities? Teachers are in a unique position to witness problem solving in action, and to draw connections between the classroom experiences of their students and the findings of research. This article presents an instance of problem solving (drawn from a popular children's book) annotated with references to current research in cognition and education. The annotations explore issues such as the effect of performance anxiety on problem solving, how problem solvers handle the experience of confusion, and the role of self-monitoring and metacognition in problem solving.     

Changing Teacher Behavior Through Staff Development: Implementing the Teaching and Content Standards in Science

For the last five years, the Center for Precollege Programs of the New Jersey Institute of Technology has operated the Urban Elementary Outreach Program, a staff development program intended to bring improved math and science education to the elementary schools of Newark, New Jersey. Teachers in urban settings have been hampered in their efforts to provide enriching, student-centered and constructivist science and math teaching ( Huinker, 1996 ). The Outreach Program has attempted to provide teachers with sustained support through training and direct classroom assistance in an effort to develop a sense of self-efficacy ( Bandura, 1982 ) in relation to desired teaching and student behaviors that are part of a standards-based learning experience. Traditional training approaches for teachers are supplemented by weekly classroom visits by graduate assistants, who both model standards-based science teaching and assist the teacher in assuming effective instructional methods. The combination of workshops, orientations, newsletters, and weekly classroom visits make up a staff development program of two years in duration for teacher participants. Through this intensive program, we intend to change teaching behaviors in the many complex ways identified in the National Science Education Standards.     

中学教师组织支持感对工作压力的预测作用研究

在中、高考指挥棒的引导下,目前中学教师群体的工作压力达到了前所未有的高度,而教师对组织支持的感知影响着教师对工作压力的认识.通过对2187名中学教师进行问卷调查,运用SPSS和AMOS软件对数据进行分析,分析中学教师组织支持感工作压力所在水平,目前组织支持感水平处于中等状态,且教师对组织支持感的认识比较一致.中学教师工作压力总体比较高,但不同的教师群体工作压力不同.并对组织支持感预测工作压力模型进行检验.发现组织支持感与工作压力呈负相关初/高中在0.001水平上差异显著,而性别、公/民办和教龄在0.05水平上差异显著.     

Active learning: a case study of student engagement in college Calculus

This paper presents a case study for strategic engagement of students in a Calculus course in order to produce increased learning in the classroom. Since it has been shown that active learning can promote greater comprehension for students in science, technology, engineering, and mathematics (STEM) courses, the researcher utilized many types of active learning techniques to enhance classroom instruction. The key components implemented are presented as a model of enhanced learning through developed classroom engagement. This course redesign model entitled, Strategic Engagement for Increased Learning (SEIL), has the potential to (1) contribute to the body of knowledge on ways to improve mathematics skills for college students, (2) identify successful teaching strategies and technologies that will promote the retention of STEM students, (3) increase the success rate of students taking Calculus, and (4) help produce more STEM graduates needed for the STEM workforce in the United States of America.     

Meeting the Needs of Diverse Student Populations: Comprehensive Professional Development in Science,Math, and Technology for Teachers of Students With Disabilities

Professional development for teachers has become a key component for reform in teaching, learning, and curriculum change. This report describes a model of professional development designed to improve the skills and knowledge of teams of special education and regular education teachers in science, mathematics, and technology instruction. The comprehensive model included summer and academic year content and methodology-focused workshops and summer “practician” experiences. It was designed to link those factors impacting teacher practices and interventions with teachers' beliefs in instruction. The training component for teachers included opportunities for collaborative teaching, upgrading knowledge of math and science subject matter, and identifying, integrating, and practicing alternative approaches for teaching science and math that address the needs of special education students, with a focus on techniques for adapting instruction to specific disabilities. The program led to development of coping skills and persistence in the teaching of science and math for all students. As a result, strong efficacy expectations have been developed through repeated experiences of success with children in a classroom environment. Remaining issues still to be addressed include classroom management, teaching in a heterogeneous classroom, and further improvement of content expertise of teachers.