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1.
Colleen Vale Alasdair McAndrew Siva Krishnan 《Journal of Mathematics Teacher Education》2011,14(3):193-212
A professional learning program for teachers of junior secondary mathematics regarding the content and pedagogy of senior
secondary mathematics is the context for this study of teachers’ mathematical and pedagogical knowledge. The analysis of teachers’
reflections on their learning explored teachers’ understanding of mathematical connections and their appreciation of mathematical
structure. The findings indicate that a professional learning program about senior secondary mathematics can enable practicing
teachers to deepen and broaden their knowledge for teaching junior secondary mathematics and develop their practice to support
their students’ present and future learning of mathematics. Further research is needed about professional learning approaches
and tasks that may enable teachers to imbed and develop awareness of structure in their practice. 相似文献
2.
?se Hansson 《Educational Studies in Mathematics》2012,81(1):103-125
In the multilingual mathematics classroom, the assignment for teachers to scaffold students by means of instruction and guidance in order to facilitate language progress and learning for all is often emphasized. In Sweden, where mathematics education is characterized by a low level of teacher responsibility for students’ performance, this responsibility is in part passed on to students. However, research investigating the complexity of relations between mathematics teaching and learning in multilingual classrooms, as well as effect studies of mathematics teaching, often take the existence of teachers’ responsibility for offering specific content activities for granted. This study investigates the relations between different aspects of responsibility in mathematics teaching and students’ performance in the multilingual mathematics classroom. The relationship between different group compositions and how the responsibility is expressed is also investigated. Multilevel structural equation models using TIMSS 2003 data identified a substantial positive influence on mathematics achievement of teachers taking responsibility for students’ learning processes by organizing and offering a learning environment where the teacher actively and openly supports the students in their mathematics learning, and where the students also are active and learn mathematics themselves. A correlation was also revealed between group composition, in terms of students’ social and linguistic background, and how mathematics teaching was performed. This relationship indicates pedagogical segregation in Swedish mathematics education by teachers taking less responsibility for students’ learning processes in classes with a high proportion of students born abroad or a high proportion of students with low socio-economic status. 相似文献
3.
There is a documented need for more opportunities for teachers to learn about students’ mathematical reasoning. This article
reports on the experiences of a group of elementary and middle school mathematics teachers who participated as interns in
an after-school, classroom-based research project on the development of mathematical ideas involving middle-grade students
from an urban, low-income, minority community in the United States. For 1 year, the teachers observed the students working
on well-defined mathematical investigations that provided a context for the students’ formation of particular mathematical
ideas and different forms of reasoning in several mathematical content strands. The article describes insights into students’
mathematical reasoning that the teachers were able to gain from their observations of the students’ mathematical activity.
The purpose is to show that teachers’ observations of students’ mathematical activity in research sessions on students’ development
of mathematical ideas can provide opportunities for teachers to learn about students’ mathematical reasoning. 相似文献
4.
David Gijbels Gerard van de Watering Filip Dochy Piet van den Bossche 《Instructional Science》2006,34(3):213-226
Research into students’ perceptions of their learning environments reveals the impact of these perceptions on the way students
cope with these learning environments. Consequently, students’ perceptions affect the results of their learning. This study
aims to investigate whether students in a new learning environment (NLE) perceive it to be more constructivist when compared
with the perceptions students have of a conventional lecture-based environment. Using a questionnaire consisting of seven
key factors of constructivist learning environments, the results show that students in the NLE perceive it to be more constructivist
when compared to the perceptions of students in a conventional lecture-based environment. The difference was statistically
significant for four of the seven factors. According to the effect size, as measured by the d-index, the difference in perception between the two groups was greatest for the factor ‘conceptual conflicts and dilemmas’.
in final form: 31 May 2005 相似文献
5.
Saskia Kistner Katrin Rakoczy Barbara Otto Charlotte Dignath-van Ewijk Gerhard Büttner Eckhard Klieme 《Metacognition and Learning》2010,5(2):157-171
An implication of the current research on self-regulation is to implement the promotion of self-regulated learning in schools.
Teachers can promote self-regulated learning either directly by teaching learning strategies or indirectly by arranging a
learning environment that enables students to practise self-regulation. This study investigates teachers’ direct and indirect
promotion of self-regulated learning and its relation to the development of students’ performance. Twenty German mathematics
teachers with their overall 538 students (grade 9) were videotaped for a three-lesson unit on the Pythagorean Theorem. Students’
mathematics performance was tested several times before and after the observed lessons. A low-inferent coding system was applied
to assess the teachers’ implicit or explicit instruction of cognitive strategies (e.g., organisation), metacognitive strategies
(e.g., planning), and motivational strategies (e.g., resource management). High-inferent ratings were used to assess features
of the learning environment that foster self-regulation. Results reveal that a great amount of strategy teaching takes place
in an implicit way, whereas explicit strategy teaching and supportive learning environment are rare. The instruction of organisation
strategies and some features of the learning environment (constructivism, transfer) relate positively to students’ performance
development. In contrast to implicit strategy instruction, explicit strategy instruction was associated with a gain in performance.
These results reveal a discrepancy between the usefulness of explicit strategy instruction and its rare occurrence in classrooms. 相似文献
6.
Learning environment, attitudes and conceptual development associated with innovative strategies in middle-school mathematics 总被引：1，自引：2，他引：1
This study of middle-school students in California focused on the effectiveness of using innovative teaching strategies for
enhancing the classroom environment, students’ attitudes and conceptual development. A sample of 661 students from 22 classrooms
in four inner city schools completed modified forms of the Constructivist Learning Environment Survey (CLES), What Is Happening
In this Class? (WIHIC) questionnaire and Test of Mathematics Related Attitudes (TOMRA). Data analyses supported the factor
structure, internal consistency reliability, discriminant validity and the ability to distinguish between different classes
for these questionnaires when used with middle-school mathematics students in California. The effectiveness of the innovative
instructional strategy was evaluated in terms of classroom environment and attitudes to mathematics for the whole sample,
as well as for mathematics achievement for a subgroup of 101 students. A comparison of an experimental group which experienced
the innovative strategy with a control group supported the efficacy of the innovative teaching methods in terms of learning
environment, attitudes and mathematics concept development. Also associations were found between perceptions of classroom
learning environment and students’ attitudes to mathematics and conceptual development. 相似文献
7.
This case study of a preservice secondary mathematics teacher focuses on the teacher’s beliefs about his role as mathematics
teacher. Data were collected over the final 5 months of the teacher’s university teacher education program through interviews,
written course assignments, and observations of student-teaching. Findings indicate that the preservice teacher valued classroom
roles in which students, rather than the teacher, explained traditional mathematics content. As his student-teaching internship
progressed, the teacher began to develop new roles and engaged students in additional mathematical processes. These results
emphasize the need for preservice teachers to recognize how teacher and student roles impact interrelationships between understanding
and mathematical activity, and illustrate the nature of teacher learning that can occur during an internship. 相似文献
8.
Owe Kågesten 《European Journal of Engineering Education》2007,32(3):303-314
In this study we created an environment for peer learning, where students teach students by making oral presentations in groups about solving mathematical problems and explaining the theoretical background in mathematics, during the first year of an undergraduate engineering programme at the Norrköping campus of the Linköping University. In order to strengthen the students’ understanding and perception of central mathematical concepts, the study was designed to take the students through five different learning experiences, preparing the presentation, presenting the mathematics, listening to others presenting, discussion by all students after the presentation and feedback by the teacher to the small group of students separate from the other students. We study how oral presentations work as a learning and assessment method. The study consisted of three stages. After a first run of the presentations as a learning instrument, three guidebooks with recommendations for students and teachers were developed in order to assist students as well as teachers about their role in this learning environment. Students’ and teachers’ views on the student presentations as learning instrument were surveyed before and after the intervention. In stage three, students were interviewed individually to ascertain the relevant success of the different learning experiences. 相似文献
9.
10.
Zvia Kaberman Yehudit Judy Dori 《International Journal of Science and Mathematics Education》2009,7(3):597-625
A new learning unit in chemistry, Case-based Computerized Laboratories (CCL) and Computerized Molecular Modeling (CMM) was developed at the Technion. The CCL and CMM curriculum integrates computerized desktop experiments and molecular
modeling with an emphasis on scientific inquiry and case studies. Our research aimed at investigating the effect of the CCL
and CMM learning environment on students’ higher-order thinking skills of question posing, inquiry, and modeling. The experimental
group included 614 honors 12th grade chemistry students from high schools in Israel who studied according to this learning
unit. The comparison group consisted of 155 12th grade chemistry honors students who studied other chemistry programs. Pre-
and post-tests questionnaires were used to assess students’ higher-order thinking skills. Students’ responses were analyzed
using content analysis rubrics and their statistical analysis. Our findings indicated that the scores of the experimental
group students improved significantly in question posing, inquiry and modeling skills from the pre-test to the post-test.
The net gain scores of the experimental group students were significantly higher than those of their comparison peers in all
three examined skills. In modeling skills, experimental group students significantly improved their achievements in making
the transfer from 3D models to structural formulae, but only about half of them were able to transfer from formulae to 3D
models. By presenting a case-based chemistry assessment tool and content analysis of students’ responses in this paper, we
enable teachers and educators to analyze their students’ higher-order thinking skills both qualitatively and quantitatively. 相似文献
11.
The study presented in this article investigates forms of mathematical interaction in different social settings. One major interest is to better understand mathematics teachers’ joint professional
discourse while observing and analysing young students mathematical interaction followed by teacher’s intervention. The teachers’
joint professional discourse is about a combined learning and talking between two students before an intervention by their
teacher (setting 1) and then it is about the students learning together with the teacher during their mathematical work (setting
2). The joint professional teachers’ discourse constitutes setting 3. This combination of social settings 1 and 2 is taken
as an opportunity for mathematics teachers’ professionalisation process when interpreting the students’ mathematical interactions
in a more and more professional and sensible way. The epistemological analysis of mathematical sign-systems in communication
and interaction in these three settings gives evidence of different types of mathematical talk, which are explained depending
on the according social setting. Whereas the interaction between students or between teachers is affected by phases of a process-oriented
and investigated talk, the interaction between students and teachers is mainly closed and structured by the ideas of the teacher
and by the expectations of the students.
相似文献
| Heinz SteinbringEmail: |
12.
Erin E. Turner Corey Drake Amy Roth McDuffie Julia Aguirre Tonya Gau Bartell Mary Q. Foote 《Journal of Mathematics Teacher Education》2012,15(1):67-82
Research repeatedly documents that teachers are underprepared to teach mathematics effectively in diverse classrooms. A critical
aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and
practices that support building on children’s mathematical thinking, as well as their cultural, linguistic, and community-based
knowledge. This article presents a conjectured learning trajectory for prospective teachers’ (PSTs’) development related to
integrating children’s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children’s mathematics learning—including
children’s mathematical thinking, and children’s cultural, home, and community-based knowledge), in mathematics instruction.
Data were collected from 200 PSTs enrolled in mathematics methods courses at six United States universities. Data sources
included beginning and end-of-semester surveys, interviews, and PSTs’ written work. Our conjectured learning trajectory can
serve as a tool for mathematics teacher educators and researchers as they focus on PSTs’ development of equitable mathematics
instruction. 相似文献
13.
14.
In this paper, we argue that history might have a profound role to play for learning mathematics by providing a self-evident
(if not indispensable) strategy for revealing meta-discursive rules in mathematics and turning them into explicit objects
of reflection for students. Our argument is based on Sfard’s theory of Thinking as Communicating, combined with ideas from historiography of mathematics regarding a multiple perspective approach to the history of practices
of mathematics. We analyse two project reports from a cohort of history of mathematics projects performed by students at Roskilde
University. These project reports constitute the experiential and empirical basis for our claims. The project reports are
analysed with respect to students’ reflections about meta-discursive rules to illustrate how and in what sense history can
be used in mathematics education to facilitate the development of students’ meta-discursive rules of mathematical discourse. 相似文献
15.
Helen Forgasz 《Journal of Mathematics Teacher Education》2006,9(5):437-469
The findings presented in this article were derived from a 3- year study aimed at examining issues associated with the use of computers for secondary mathematics learning in Victorian (Australia) schools. Gender and other equity factors were of particular interest. In this article, the focus is on the participating mathematics teachers. Data on their perceived competence levels with technology, and their use of and beliefs about computers for their male and female students’ mathematics learning were gathered. A clear majority of teachers felt comfortable about, and did use, computers for teaching mathematics, and believed that computers helped students’ mathematical learning. Generally, the teachers considered boys to be more confident and capable than girls with computers. The results have implications for pre-service education programs and for the professional development of practicing secondary mathematics teachers.Various findings included in this article have been presented at a range of mathematics education conferences including: AAMT (2003), MAV (2003), and ICME 10 (2004). 相似文献
16.
Joanna O. Masingila Samson M. Muthwii Patrick M. Kimani 《International Journal of Science and Mathematics Education》2011,9(1):89-108
This study examined standard 6 and 8 (Standards 6 and 8 are the sixth and eighth years, respectively, of primary level schooling
in Kenya.) students’ perceptions of how they use mathematics and science outside the classroom in an attempt to learn more
about students’ everyday mathematics and science practice. The knowledge of students’ everyday mathematics and science practice
may assist teachers in helping students be more powerful mathematically and scientifically both in doing mathematics and science
in school and out of school. Thirty-six students at an urban school and a rural school in Kenya were interviewed before and
after keeping a log for a week where they recorded their everyday mathematics and science usage. Through the interviews and
log sheets, we found that the mathematics that these students perceived they used outside the classroom could be classified
as 1 of the 6 activities that Bishop (Educ Stud Math 19:179–191, 1988) has called the 6 fundamental mathematical activities and was also connected to their perception of whether they learned
mathematics outside school. Five categories of students’ perceptions of their out-of-school science usage emerged from the
data, and we found that 4 of our codes coincided with 2 activities identified by Lederman & Lederman (Sci Child 43(2):53,
2005) as part of the nature of science and 2 of Bishop’s categories. We found that the science these students perceived that they
used was connected to their views of what science is. 相似文献
17.
18.
In this article, we describe how using prediction during instruction can create learning opportunities to enhance the understanding
and doing of mathematics. In doing so, we characterize the nature of the predictions students made and the levels of sophistication
in students’ reasoning within a middle school algebra context. In this study, when linear and exponential functions were taught,
prediction questions were posed at the launch of the lessons to reflect the mathematical ideas of each lesson. Students responded
in writing along with supportive reasoning individually and then discussed their predictions and rationale. A total of 395
prediction responses were coded using a dual system: sophistication of reasoning, and the mechanism students appeared to utilize
to formulate their prediction response. The results indicate that using prediction provoked students to connect among mathematical
ideas that they learned. It was apparent that students also visualized mathematical ideas in the problem or the possible results
of the problem. These results suggest that using prediction in fact provides learning opportunities for students to engage
in mathematical sense making and reasoning, which promotes students’ understanding of the mathematics that they learn. 相似文献
19.
Mathematical literacy, viewed as a set of ideas involving applications of mathematics to real-world contexts, has recently
featured in curricular discussions about the aims for mathematics education. This article explores the effect that differences
in the way that a mathematical task is contextualised can have on students’ mathematical arguments and, therefore, on their
perceived levels of mathematical literacy. Seventy-two students’ responses to three similar measurement tasks are described
according to Kaiser and Willander’s levels of mathematical literacy. The arguments used for assigning each level of mathematical
literacy are then investigated for the presence of specific macro- and micro-linguistic features. The context of the task
affects what students perceive to be most relevant approaches to use, which are reflected in the arguments they give; this,
in turn, affects external judgements of their level of mathematical literacy. 相似文献
20.
This paper explores the nature and source of mathematics homework and teachers’ and students’ perspectives about the role
of mathematics homework. The subjects of the study are three grade 8 mathematics teachers and 115 of their students. Data
from field notes, teacher interviews and student questionnaire are analysed using qualitative methods. The findings show that
all 3 teachers gave their students homework for instructional purposes to engage them in consolidating what they were taught
in class as well as prepare them for upcoming tests and examinations. The homework only involved paper and pencil, was compulsory,
homogenous for the whole class and meant for individual work. The main source of homework assignments was the textbook that
the students used for the study of mathematics at school. ‘Practice makes perfect’ appeared to be the underlying belief of
all 3 teachers when rationalising why they gave their students homework. From the perspective of the teachers, the role of
homework was mainly to hone skills and comprehend concepts, extend their ‘seatwork into out of class time’ and cultivate a
sense of responsibility. From the perspectives of the students, homework served 6 functions, namely improving/enhancing understanding
of mathematics concepts, revising/practising the topic taught, improving problem-solving skills, preparing for test/examination,
assessing understanding/learning from mistakes and extending mathematical knowledge. 相似文献