图形计算器与中学数学创新教育—几个值得思考的问题

图形计算器作为一种现代化教育技术，在中学数学创新教育中发挥着越来越大的作用，近几年来，北京市有40多所中学的几百名教师，利用图形计算器开展课题研究，使图形计算器进行中学数学创新教育的关键是教育观念的更新，重点是改进课堂教学过程，方向是实现现代教育技术与课程及教材的整合，开展课题研究则是进行创新教育的一种重要而有效的途径。     

图形计算器在中学数学探究性学习活动中的应用

倡导学生探究性学习活动已成为中学数学课堂教学改革的热点问题。其中，图形计算器的应用对促进学生的探究性活动具有重要的作用。将图形计算器有效地应用于中学数学教学，主要可从教学内容选择、教学过程设计、教学问题解析3方面来 实现。在使用图形计算器进行教学时要注意；及时向学生提供技术指导；采用灵活多样的教学组织形式。     

I BOOK REVIEWS

This study examines the influence of graphing calculators on a teacher's assessment practices in a college algebra course. The researcher focused on three techniques of alternative assessment: oral discourse, teacher observations, and problem‐solving investigations. The teacher's assessment practices were revealed during 6 weeks of classroom observations. The researcher examined the teacher's assessment practices before and after the teacher used graphing calculators as tools for teaching and learning mathematics. The use of the graphing calculators enhanced the teacher's assessment practices as related to oral discourse, classroom observations, and problem‐solving investigations. The results of the study indicate the potential for technological tools to influence teachers’ practices of alternative assessment in the mathematics classroom.     

Teaching and Learning Physics in a 1:1 Laptop School

1:1 laptop programs, in which every student is provided with a personal computer to use during the school year, permit increased and routine use of powerful, user-friendly computer-based tools. Growing numbers of 1:1 programs are reshaping the roles of teachers and learners in science classrooms. At the Denver School of Science and Technology, a public charter high school where a large percentage of students come from low-income families, 1:1 laptops are used often by teachers and students. This article describes the school’s use of laptops, the Internet, and related digital tools, especially for teaching and learning physics. The data are from teacher and student surveys, interviews, classroom observations, and document analyses. Physics students and teachers use an interactive digital textbook; Internet-based simulations (some developed by a Nobel Prize winner); word processors; digital drop boxes; email; formative electronic assessments; computer-based and stand-alone graphing calculators; probes and associated software; and digital video cameras to explore hypotheses, collaborate, engage in scientific inquiry, and to identify strengths and weaknesses of students’ understanding of physics. Technology provides students at DSST with high-quality tools to explore scientific concepts and the experiences of teachers and students illustrate effective uses of digital technology for high school physics.     

The development of elementary teacher identities as teachers of science

ABSTRACT

The purpose of this qualitative study was to investigate the contributions of pre-service teachers’ memories of science and science education, combined with their experiences in a STEM-focused teacher preparation programme, to their developing identities as elementary school teachers of science. Data collected over three years include a series of interviews and observations of science teaching during elementary teacher preparation and the first year of teaching. Grounded within a theoretical framework of identity and using a case-study research design, we examined experiences that contributed to the participants’ identity development, focusing on key themes from teacher interviews: memories of science and science instruction, STEM-focused teacher preparation programme, field experiences, first year of teaching, and views of effective science instruction. Findings indicate the importance of exposure to reform strategies during teacher preparation and are summarised in main assertions and discussed along with implications for teacher preparation and research.     

Relationship Between Reflective Disposition Toward Teaching and Effective Teaching

Abstract

The author demonstrated that a reflective disposition toward teaching was related to effective teaching especially in the domains of instructional behavior, classroom organization, and teacher expectation. Data used to test the hypothesis were composed of reflective disposition scores earned by teacher candidates (N = 55) and effective teaching scores given teacher candidates by their field instructors. Reflective disposition consisted of 6 components: the composite of reflective disposition and the composite of effective teaching, reflection on what teachers should know and be able to do, reflection on teaching, reflection on learning, reflection on the relationship between learning and teaching, and reflection on what it would be like to be a teacher in the classroom. Effective teaching consisted of 5 components: the composite of effective teaching, classroom management, instructional behavior, classroom organization, and teacher expectations.     

The (non)making/becoming of inquiry practicing science teachers

Teacher education programs have adopted preparing science teachers that teach science through inquiry as an important pedagogic agenda. However, their efforts have not met with much success. While traditional explanations for this failure focus largely on preservice science teachers’ knowledge, beliefs and conceptions regarding science and science teaching, this conceptual paper seeks to direct attention toward discursive practices surrounding inquiry science teaching in teacher education programs for understanding why most science teachers do not teach science through inquiry. The paper offers a theoretical framework centered on critical notions of subjection and performativity as a much needed perspective on making/becoming of science teachers through participation in discursive practices of science teacher education programs. It argues that research based on such perspectives have much potential to offer a deeper understanding of the difficult challenges teacher education programs face in preparing inquiry practicing science teachers.     

A Causal Model of Secondary Students’ Achievement in Chemistry

Abstract

A causal model is proposed in order to explain secondary students’ achievement in chemistry; the seven predictor variables used in the explanation are: students’ attitude towards chemistry, understanding of science, scientific attitude, traditional cosmological world‐view, cognitive style, teachers’ attitude towards the teaching of chemistry and understanding of science. Some 460 students chosen by means of stratified cluster sampling and their 25 teachers make up the student and teacher samples, respectively. The numerical values of all the variables are obtained and their intercorrelations computed. Path analysis procedure is applied to the data to estimate the coefficients of the structural equations of the proposed model. The results of the analysis indicate that the hypothesised model is tenable. The seven predictors directly account for 21?6% of the variance in the criterion; their indirect effect is 8?4%. The implications of the findings for chemistry instruction, teacher education and curriculum development are discussed.     

Student teachers’ pedagogical content knowledge for teaching systems thinking: effects of different interventions

ABSTRACT

Systems’ thinking has become increasingly relevant not only in education for sustainable development but also in everyday life. Even if teachers know the dynamics and complexity of living systems in biology and geography, they might not be able to effectively explain it to students. Teachers need an understanding of systems and their behaviour (content knowledge), and they also need to know how systems thinking can be fostered in students (pedagogical content knowledge (PCK)). But the effective development of teachers’ professional knowledge in teaching systems thinking is empirically uncertain. From a larger study (SysThema) that investigated teaching systems thinking, this article reports the effects of the three different interventions (technical course, didactic course and mixed course) in student teachers’ PCK for teaching systems thinking. The results show that student teachers’ PCK for teaching systems thinking can be promoted in teacher education. The conclusion to be drawn from our findings is that a technically orientated course without didactical aspects seems to be less effective in fostering student teachers’ PCK for teaching systems thinking. The results inform educators in enhancing curricula of future academic track and non-academic track teacher education.     

Developing Understanding: the use of teaching portfolios in preservice education

The premise that underlies the preservice‐teacher‐education programme at Monash University is the need to focus on the nature of learning (for example, Gunstone et al., 1993). One approach currently being used to enhance this process is the use of portfolios. The portfolio is an open‐ended task designed to explore teaching from many different vantage points. It is organised as a dynamic assessment task through which the student teachers work on developing their understanding of what it means to be a science teacher, and the teaching portfolio itself is a mixture of artefacts designed to help student teachers demonstrate this to others. This paper reports on the effectiveness and value of portfolios in helping preservice teachers learn about learning and teaching.     

Prediction/discussion-based learning cycle versus conceptual change text: comparative effects on students’ understanding of genetics

Background and purpose:

The purpose of this study was to investigate the comparative effects of a prediction/discussion-based learning cycle (HPD-LC), conceptual change text (CCT) and traditional instruction on 10th grade students’ understanding of genetics concepts.

Sample:

Participants were 112 10th basic grade male students in three classes of the same school located in an urban area. The three classes taught by the same biology teacher were randomly assigned as a prediction/discussion-based learning cycle class (n?=?39), conceptual change text class (n?=?37) and traditional class (n?=?36).

Design and method:

A quasi-experimental research design of pre-test–post-test non-equivalent control group was adopted. Participants completed the Genetics Concept Test as pre-test–post-test, to examine the effects of instructional strategies on their genetics understanding. Pre-test scores and Test of Logical Thinking scores were used as covariates.

Results:

The analysis of covariance showed a statistically significant difference between the experimental and control groups in the favor of experimental groups after treatment. However, no statistically significant difference between the experimental groups (HPD-LC versus CCT instruction) was found.

Conclusions:

Overall, the findings of this study support the use of the prediction/discussion-based learning cycle and conceptual change text in both research and teaching. The findings may be useful for improving classroom practices in teaching science concepts and for the development of suitable materials promoting students’ understanding of science.     

谈谈图形计算器对我国数学教育的影响

图形计算器，作为新一代数学学习工具在我国的引入将带来数学教育的深刻变化，这些变化包括观念，课程，教学过程和教育理论等的变化，对图形计算器（其其它教育技术）所提供的新的教学环境认识的迟钝，将滞后我国旨在建立全面关注学生发展的教学教育改革，图形计算器的使用，将使传统教学方式面临真正的挑战。     

The teaching of the philosophy of science in secondary classrooms: case studies of teachers’ personal theories

This study examines teachers’ philosophies of science and describes how these philosophies influence their classroom instruction. Three science teachers with very diverse views of science were interviewed and observed in their classrooms for several months. These teachers’ philosophies were found to influence laboratory instruction, the manner in which demonstrations were used, the teaching of evolution, science‐technology‐society (STS) instruction, word usage, and instructional goals. The findings are relevant to issues in teacher education as well as the institutional environment of teaching.     

‘It didn’t really change my opinion’: exploring what works,what doesn’t and why in a school science,technology, engineering and mathematics careers intervention

Background: It is widely agreed that more needs to be done to improve participation in science, technology, engineering and mathematics (STEM). Despite considerable investment in interventions, it has been difficult to discern their effectiveness and/or impact on participation.

Purpose: This paper discusses findings from a six-week pilot STEM careers intervention that was designed and overseen by a teacher from one London girls’ school. We reflect on the challenges for those attempting such interventions and the problems associated with evaluating them.

Sample: Data were collected from Year 9 students (girls aged 13–14 years) at the school.

Design and methods: Pre- and post-intervention surveys of 68 students, classroom observations of intervention activities, three post-intervention discussion groups (five or six girls per group) and a post-intervention interview with the lead teacher were conducted.

Results: Although the intervention did not significantly change students’ aspirations or views of science, it did appear to have a positive effect on broadening students’ understanding of the range of jobs that science can lead to or be useful for.

Conclusions: Student aspirations may be extremely resistant to change and intervention, but students’ understanding of ‘where science can lead’ may be more amenable to intervention. Implications are discussed, including the need to promote the message that science is useful for careers in and beyond science, at degree and technical levels.     

Creating Meaning for and with the Graphing Calculator

In this study, we seek to describe how the meaning of a tool was co-constructed by the students and their teacher and how the students used the tool to construct mathematical meaning out of particular tasks. We report the results of a qualitative, classroom-based study that examined (1) the role, knowledge and beliefs of a pre-calculus teacher, (2)how students used graphing calculators in support of their learning of mathematics, (3) the relationship and interactions between the teacher's role, knowledge and beliefs and the students' use of the graphing calculator in learning mathematics, and (4) some constraints of the graphing calculator technology that emerged within the classroom practice. We found five patterns and modes of graphing calculator tool use emerged in this practice: computational tool, transformational tool, data collection and analysis tool, visualizing tool, and checking tool. The results of this study suggest that nature of the mathematical tasks and the role, knowledge and beliefs of the teacher influenced the emergence of such rich usage of the graphing calculator. We also found that the use of the calculator as a personal device can inhibit communication in a small group setting, while its use as a shared device supported mathematical learning in the whole class setting.This revised version was published online in September 2005 with corrections to the Cover Date.     

Girls and science education in Mauritius: a study of science class practices and their effects on girls

Background: The population of Mauritius consists of 52% females and scientific literacy is seen to be of vital importance for all young people if they are to be sufficiently equipped to meet the challenges of a fast changing world. Previous research shows, however, that science is not popular among girls. This paper explores one of many reasons why few girls opt for science subjects after compulsory schooling.

Purpose: This study investigated the approaches to teaching in four science classrooms in Mauritius, with particular emphases on the preferences of girls as they learn science.

Sample: A total of 20 student interviews and 16 teacher interviews were conducted in four schools in Mauritius. The four mixed-faith schools comprised two all-girl schools (one state, one fee-paying), and two mixed-sex schools (one state, one fee-paying), within urban, suburban and rural situations.

Design and method: 80 non-participant lessons were observed, of which 60 were science lessons while the remaining 20 non-science lessons were in economics, accounts and commerce. Group interviews with five pupils in each of the four schools were conducted and 16 individual interviews with teachers in the four schools gave an insight into the pedagogic approaches used for the teaching and learning of science.

Results: Transmissive approaches to teaching, giving little opportunity for collaborative or activity-based learning, were found to be the most important factors in alienating the girls from science.

Conclusions: There need to be radical changes in approaches to teaching to retain young girls’ interest in the sciences.     

Beliefs systems and classroom practices: Identified typologies of elementary school teachers from the United States

In a mixed-methods study, the authors investigate teacher typologies of elementary teachers (N = 132) in the United States based on their reformed science teaching beliefs. Additionally, the identified teacher typologies were compared with respect to their science content knowledge, self-efficacy and epistemic beliefs. Results revealed three clusters of teachers with different combinations of teaching beliefs and practices. Comparative analysis indicated significant differences among teacher typologies with respect to their epistemic beliefs and teaching efficacy beliefs. Additionally, interview results enhanced the depth of understanding of participants' views for reformed science teaching and further highlighted differences in the typologies. Study implications are considered with regard to improving teacher quality and preservice teacher training.     

Examining technology integration in middle school STEAM units

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.